Finite Group Databasebeta

← C37×#62898 #22684151

Subgroups — C37×#62898 #22684151

Order 9472.

7106 conjugacy classes of subgroups.

The subgroup lattice has 2398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C212yesmaximal, complemented
2C37×#3560C214yesmaximal, complemented
3C37×#3559C214yesmaximal, complemented
4C37×#3554C212yesmaximal, complemented
5C37×#3552C212yesmaximal, complemented
6C37×#3541C212yesmaximal, complemented
7C37×#3539C212yesmaximal, complemented
8C37×#3538C211yesmaximal, characteristic, complemented
9C37×#3536C211yesmaximal, characteristic, complemented
10C37×#3535C212yesmaximal, complemented
11C37×#3535C214yesmaximal, complemented
12C37×#3534C212yesmaximal, complemented
13C37×#3534C214yesmaximal, complemented
14C37×#3533C214yesmaximal, complemented
15C37×#3521C212yesmaximal, complemented
16C37×#3520C212yesmaximal, complemented
17C37×#3515C212yesmaximal, complemented
18C37×#3513C212yesmaximal, complemented
19C37×#3513C214yesmaximal, complemented
20C37×#3505C211yesmaximal, characteristic, complemented
21C37×#3492C212yesmaximal, complemented
22C37×#3489C212yesmaximal, complemented
23C37×#3489C211yesmaximal, characteristic, complemented
24C37×#3488C211yesmaximal, characteristic, complemented
25C37×#3485C212yesmaximal, complemented
26D4×#41×C37C212yesmaximal, complemented
27C2×C37×#547C211yesmaximal, characteristic, complemented
28C37×#3459C211yesmaximal, characteristic, complemented
29C2×C37×#539C212yesmaximal, complemented
30C2×2−1+4×C37C2211yescharacteristic, complemented
31C2×H(5,𝔽2)×C37C2211yescharacteristic, complemented
32C22×#41×C37C2211yescharacteristic, complemented
33C22×#41×C37C2211yescharacteristic, complemented
34C22×#41×C37C2212yescomplemented
35C37×#563C2214yescomplemented
36C37×#563C2214yescomplemented
37C37×#563C2214yescomplemented
38C37×#563C2214yescomplemented
39C37×#562C2214yescomplemented
40C37×#562C2214yescomplemented
41C37×#562C2214yescomplemented
42C37×#562C2214yescomplemented
43C37×#562C2214yescomplemented
44C37×#560C2214yescomplemented
45C37×#560C2214yescomplemented
46C37×#560C2214yescomplemented
47C37×#559C2214yescomplemented
48C37×#559C2212yescomplemented
49C37×#557C2212yescomplemented
50C37×#556C2212yescomplemented
51C37×#556C2212yescomplemented
52C37×#554C2214yescomplemented
53C37×#554C2214yescomplemented
54C37×#554C2212yescomplemented
55C37×#554C2214yescomplemented
56C37×#554C2212yescomplemented
57C37×#554C2214yescomplemented
58C37×#553C2214yescomplemented
59C37×#553C2214yescomplemented
60C37×#553C2212yescomplemented
61C37×#553C2214yescomplemented
62C37×#553C2214yescomplemented
63C37×#553C2212yescomplemented
64C37×#553C2214yescomplemented
65C37×#553C2214yescomplemented
66C37×#553C2214yescomplemented
67C37×#553C2214yescomplemented
68C37×#553C2214yescomplemented
69C37×#552C2214yescomplemented
70C37×#552C2214yescomplemented
71C37×#552C2212yescomplemented
72C37×#552C2214yescomplemented
73C37×#552C2212yescomplemented
74C37×#552C2212yescomplemented
75C37×#552C2214yescomplemented
76C37×#552C2212yescomplemented
77C37×#551C2214yescomplemented
78C37×#551C2214yescomplemented
79C37×#551C2214yescomplemented
80C37×#551C2214yescomplemented
81C37×#551C2214yescomplemented
82C37×#551C2214yescomplemented
83C37×#551C2214yescomplemented
84C37×#551C2214yescomplemented
85C37×#551C2214yescomplemented
86C37×#550C2212yescomplemented
87C37×#550C2212yescomplemented
88D4×Q8×C37C2212yescomplemented
89D4×Q8×C37C2212yescomplemented
90D4×Q8×C37C2212yescomplemented
91D4×Q8×C37C2212yescomplemented
92C37×#548C2212yescomplemented
93C37×#548C2212yescomplemented
94C37×#548C2212yescomplemented
95C37×#548C2212yescomplemented
96C37×#548C2212yescomplemented
97C37×#548C2212yescomplemented
98C37×#547C2212yescomplemented
99C37×#547C2212yescomplemented
100C37×#547C2214yescomplemented
101C37×#547C2214yescomplemented
102C37×#547C2212yescomplemented
103C37×#547C2212yescomplemented
104C37×#547C2212yescomplemented
105C37×#547C2214yescomplemented
106C37×#547C2212yescomplemented
107C37×#547C2214yescomplemented
108C37×#547C2212yescomplemented
109C37×#547C2214yescomplemented
110C37×#547C2212yescomplemented
111C37×#547C2214yescomplemented
112C37×#547C2214yescomplemented
113C37×#547C2214yescomplemented
114C37×#547C2212yescomplemented
115C37×#546C2212yescomplemented
116C37×#546C2212yescomplemented
117C37×#546C2214yescomplemented
118C37×#546C2214yescomplemented
119C37×#546C2212yescomplemented
120C37×#546C2212yescomplemented
121C37×#546C2214yescomplemented
122C37×#546C2214yescomplemented
123C37×#546C2212yescomplemented
124C37×#546C2212yescomplemented
125C37×#546C2214yescomplemented
126C37×#546C2214yescomplemented
127C37×#546C2214yescomplemented
128C37×#546C2214yescomplemented
129C37×#546C2214yescomplemented
130C37×#546C2214yescomplemented
131C37×#546C2214yescomplemented
132D42×C37C2212yescomplemented
133D42×C37C2214yescomplemented
134D42×C37C2214yescomplemented
135C37×#544C2212yescomplemented
136C37×#544C2214yescomplemented
137C37×#544C2212yescomplemented
138C37×#543C2211yescharacteristic, complemented
139C37×#543C2212yescomplemented
140C37×#542C2214yescomplemented
141C37×#542C2212yescomplemented
142C37×#542C2214yescomplemented
143C37×#542C2212yescomplemented
144C37×#542C2214yescomplemented
145C37×#542C2214yescomplemented
146C37×#541C2212yescomplemented
147C37×#541C2212yescomplemented
148C37×#541C2212yescomplemented
149C37×#540C2214yescomplemented
150C37×#540C2212yescomplemented
151C37×#540C2214yescomplemented
152C37×#540C2214yescomplemented
153C37×#540C2214yescomplemented
154C37×#539C2211yescharacteristic, complemented
155C37×#539C2212yescomplemented
156C37×#539C2214yescomplemented
157C37×#539C2214yescomplemented
158C37×#539C2212yescomplemented
159C37×#539C2214yescomplemented
160C37×#539C2212yescomplemented
161C37×#539C2214yescomplemented
162C37×#539C2214yescomplemented
163C37×#539C2214yescomplemented
164C37×#539C2211yescharacteristic, complemented
165C37×#539C2212yescomplemented
166C37×#539C2212yescomplemented
167C37×#539C2214yescomplemented
168C37×#539C2214yescomplemented
169C37×#539C2214yescomplemented
170C37×#539C2214yescomplemented
171C37×#539C2214yescomplemented
172C37×#539C2214yescomplemented
173C37×#539C2214yescomplemented
174C37×#539C2212yescomplemented
175C37×#539C2214yescomplemented
176C37×#538C2212yescomplemented
177C37×#538C2212yescomplemented
178C37×#538C2212yescomplemented
179C37×#538C2212yescomplemented
180C37×#538C2214yescomplemented
181C37×#538C2214yescomplemented
182C37×#538C2214yescomplemented
183C37×#538C2214yescomplemented
184C37×#538C2214yescomplemented
185C37×#538C2214yescomplemented
186C37×#538C2212yescomplemented
187C37×#537C2211yescharacteristic, complemented
188C37×#537C2212yescomplemented
189C37×#537C2214yescomplemented
190C37×#537C2212yescomplemented
191C37×#537C2211yescharacteristic, complemented
192C37×#537C2212yescomplemented
193C37×#537C2212yescomplemented
194C37×#536C2212yescomplemented
195C37×#536C2212yescomplemented
196C37×#536C2212yescomplemented
197C37×#536C2214yescomplemented
198C37×#536C2212yescomplemented
199C37×#536C2211yescharacteristic, complemented
200C37×#535C2212yescomplemented
201C37×#535C2211yescharacteristic, complemented
202C37×#534C2211yescharacteristic, complemented
203C37×#534C2212yescomplemented
204C37×#534C2214yescomplemented
205C37×#534C2214yescomplemented
206C37×#534C2212yescomplemented
207C37×#533C2212yescomplemented
208C37×#532C2212yescomplemented
209C37×#532C2214yescomplemented
210C2×C4⋊Q8×C37C2211yescharacteristic, complemented
211C37×#529C2212yescomplemented
212C37×#529C2212yescomplemented
213C37×#529C2212yescomplemented
214C37×#529C2212yescomplemented
215C37×#529C2214yescomplemented
216C37×#529C2214yescomplemented
217C37×#529C2212yescomplemented
218C2×#126×C37C2214yescomplemented
219C2×#125×C37C2214yescomplemented
220C37×#525C2211yescharacteristic
221C37×#525C2212yescomplemented
222C37×#525C2211yescharacteristic, complemented
223C37×#525C2212yescomplemented
224C37×#525C2214yescomplemented
225C37×#525C2212yescomplemented
226C37×#525C2214yescomplemented
227C37×#525C2212yescomplemented
228C37×#525C2212yescomplemented
229C37×#525C2212yescomplemented
230C37×#525C2212yescomplemented
231C37×#525C2214yescomplemented
232C37×#525C2214yescomplemented
233C2×#123×C37C2214yescomplemented
234C2×#123×C37C2214yescomplemented
235C2×#123×C37C2212yescomplemented
236C2×#123×C37C2212yescomplemented
237C2×#123×C37C2214yescomplemented
238C2×C22⋊Q8×C37C2214yescomplemented
239C2×C22⋊Q8×C37C2212yescomplemented
240C2×C22⋊Q8×C37C2211yescharacteristic, complemented
241C2×C22⋊Q8×C37C2211yescharacteristic, complemented
242C2×C22⋊Q8×C37C2211yescharacteristic, complemented
243C2×C22⋊Q8×C37C2212yescomplemented
244C2×#121×C37C2212yes—
245C2×#121×C37C2212yescomplemented
246C2×#121×C37C2211yescharacteristic, complemented
247C37×#520C2211yescharacteristic, complemented
248C37×#520C2212yescomplemented
249C37×#520C2211yescharacteristic, complemented
250C37×#520C2214yescomplemented
251C37×#518C2212yescomplemented
252C37×#518C2212yescomplemented
253C4×#41×C37C2212yescomplemented
254C2×C4×D4×C37C2214yescomplemented
255C2×C4×D4×C37C2211yescharacteristic, complemented
256C2×C4×D4×C37C2212yescomplemented
257C2×C4×D4×C37C2211yescharacteristic, complemented
258C22×C4⋊C4×C37C2212yescomplemented
2592−1+4×C37—44no—
260H(5,𝔽2)×C37—44no—
261C2×#41×C37—44no—
262C2×#41×C37—44no—
263C2×#41×C37—48no—
264C2×#41×C37C2312yes—
265C2×#41×C37C2311yescharacteristic
266C2×#41×C37C2311yescharacteristic
267C2×#41×C37C2312yes—
268C2×#41×C37C2314yes—
269C2×#41×C37C2311yescharacteristic
270C2×#41×C37C2311yescharacteristic
271C2×#41×C37C2314yes—
272C2×#41×C37C2314yes—
273C2×#41×C37C2312yes—
274C2×#41×C37C2312yes—
275C2×#41×C37C2312yes—
276C2×#41×C37C2312yes—
277C2×#41×C37C2314yes—
278C2×#41×C37C2312yes—
279C2×#41×C37C2312yes—
280C2×#41×C37C2311yescharacteristic
281C2×#41×C37C2312yes—
282C2×#41×C37C2314yes—
283C2×#41×C37C2312yes—
284C2×#41×C37C2311yescharacteristic
285C22×Q8×C37C2312yes—
286C22×Q8×C37C2311yescharacteristic
287C22×Q8×C37C2311yescharacteristic
288C22×Q8×C37C2311yescharacteristic
289C22×Q8×C37C2312yes—
290C22×Q8×C37C2312yes—
291C22×D4×C37C2311yescharacteristic
292C22×D4×C37C2312yes—
293C22×D4×C37C2312yes—
294C22×D4×C37C2314yes—
295C22×D4×C37C2311yescharacteristic
296C22×D4×C37C2312yes—
297C22×D4×C37C2312yes—
298C22×D4×C37C2312yes—
299C22×D4×C37C2311yescharacteristic
300C22×D4×C37C2314yes—
301C22×D4×C37C2312yes—
302C22×D4×C37C2314yes—
303C23×C4×C37C2312yes—
304C23×C4×C37C2311yescharacteristic
305C23×C4×C37C2312yes—
306C23×C4×C37C2314yes—
307C23×C4×C37C2312yes—
308C23×C4×C37C2311yescharacteristic
309C23×C4×C37C2312yes—
310C4⋊Q8×C37C2312yes—
311C4⋊Q8×C37C2312yes—
312C4⋊Q8×C37C2314yes—
313C4⋊Q8×C37C2312yes—
314C4⋊Q8×C37C2314yes—
315C4⋊Q8×C37C2312yes—
316C4⋊Q8×C37C2312yes—
317C4⋊Q8×C37C2314yes—
318C4⋊Q8×C37C2314yes—
319C4⋊Q8×C37C2314yes—
320C4⋊Q8×C37C2314yes—
321#127×C37C2312yes—
322#127×C37C2314yes—
323#127×C37C2314yes—
324#126×C37C2312yes—
325#126×C37C2314yes—
326#126×C37C2314yes—
327#126×C37C2314yes—
328#126×C37C2314yes—
329#126×C37C2314yes—
330#126×C37C2314yes—
331#126×C37C2314yes—
332#126×C37C2312yes—
333#126×C37C2312yes—
334#126×C37C2312yes—
335#126×C37C2314yes—
336#126×C37C2312yes—
337#126×C37C2312yes—
338#126×C37C2314yes—
339#126×C37C2314yes—
340#126×C37C2314yes—
341#126×C37C2314yes—
342#126×C37C2314yes—
343#126×C37C2314yes—
344#126×C37C2314yes—
345#126×C37C2314yes—
346#126×C37C2314yes—
347#126×C37C2314yes—
348#126×C37C2314yes—
349#126×C37C2314yes—
350#125×C37C2312yes—
351#125×C37C2314yes—
352#125×C37C2314yes—
353#125×C37C2314yes—
354#125×C37C2314yes—
355#125×C37C2314yes—
356#125×C37C2314yes—
357#125×C37C2314yes—
358#125×C37C2312yes—
359#125×C37C2312yes—
360#125×C37C2314yes—
361#125×C37C2312yes—
362#125×C37C2312yes—
363#125×C37C2314yes—
364#125×C37C2314yes—
365#125×C37C2314yes—
366#125×C37C2314yes—
367#125×C37C2314yes—
368#125×C37C2314yes—
369#125×C37C2314yes—
370#124×C37C2312yes—
371#124×C37C2312yes—
372#124×C37C2312yes—
373#124×C37C2312yes—
374#124×C37C2312yes—
375#124×C37C2314yes—
376#124×C37C2312yes—
377#124×C37C2312yes—
378#124×C37C2314yes—
379#124×C37C2314yes—
380#124×C37C2314yes—
381#124×C37C2314yes—
382#124×C37C2314yes—
383#124×C37C2314yes—
384#124×C37C2314yes—
385#124×C37C2314yes—
386#124×C37C2314yes—
387#124×C37C2314yes—
388#123×C37C2312yes—
389#123×C37C2312yes—
390#123×C37C2314yes—
391#123×C37C2312yes—
392#123×C37C2314yes—
393#123×C37C2314yes—
394#123×C37C2314yes—
395#123×C37C2314yes—
396#123×C37C2314yes—
397#123×C37C2314yes—
398#123×C37C2314yes—
399#123×C37C2314yes—
400#123×C37C2314yes—
401#123×C37C2314yes—
402#123×C37C2314yes—
403#123×C37C2314yes—
404#123×C37C2314yes—
405#123×C37C2314yes—
406#123×C37C2314yes—
407#123×C37C2314yes—
408#123×C37C2314yes—
409#123×C37C2314yes—
410#123×C37C2314yes—
411#123×C37C2314yes—
412#123×C37C2314yes—
413#123×C37C2314yes—
414#123×C37C2314yes—
415#123×C37C2314yes—
416#123×C37C2314yes—
417#123×C37C2314yes—
418#123×C37C2312yes—
419#123×C37C2312yes—
420#123×C37C2314yes—
421#123×C37C2314yes—
422#123×C37C2314yes—
423#123×C37C2314yes—
424#123×C37C2314yes—
425#123×C37C2312yes—
426#123×C37C2312yes—
427#123×C37C2312yes—
428#123×C37C2314yes—
429#123×C37C2314yes—
430#123×C37C2312yes—
431#123×C37C2312yes—
432#123×C37C2312yes—
433#123×C37C2312yes—
434#123×C37C2314yes—
435#123×C37C2314yes—
436#123×C37C2314yes—
437#123×C37C2314yes—
438#123×C37C2314yes—
439#123×C37C2314yes—
440#123×C37C2314yes—
441#123×C37C2314yes—
442#123×C37C2314yes—
443#123×C37C2314yes—
444#123×C37C2314yes—
445#123×C37C2314yes—
446#123×C37C2314yes—
447#123×C37C2314yes—
448C22⋊Q8×C37C2312yes—
449C22⋊Q8×C37C2312yes—
450C22⋊Q8×C37C2311yescharacteristic
451C22⋊Q8×C37C2314yes—
452C22⋊Q8×C37C2312yes—
453C22⋊Q8×C37C2312yes—
454C22⋊Q8×C37C2312yes—
455C22⋊Q8×C37C2312yes—
456C22⋊Q8×C37C2314yes—
457C22⋊Q8×C37C2312yes—
458C22⋊Q8×C37C2314yes—
459C22⋊Q8×C37C2312yes—
460C22⋊Q8×C37C2312yes—
461C22⋊Q8×C37C2314yes—
462C22⋊Q8×C37C2312yes—
463C22⋊Q8×C37C2312yes—
464C22⋊Q8×C37C2312yes—
465C22⋊Q8×C37C2312yes—
466C22⋊Q8×C37C2312yes—
467C22⋊Q8×C37C2312yes—
468C22⋊Q8×C37C2314yes—
469C22⋊Q8×C37C2314yes—
470C22⋊Q8×C37C2314yes—
471C22⋊Q8×C37C2314yes—
472C22⋊Q8×C37C2314yes—
473C22⋊Q8×C37C2314yes—
474C22⋊Q8×C37C2314yes—
475C22⋊Q8×C37C2312yes—
476C22⋊Q8×C37C2311yescharacteristic
477C22⋊Q8×C37C2311yescharacteristic
478C22⋊Q8×C37C2312yes—
479C22⋊Q8×C37C2311yescharacteristic
480C22⋊Q8×C37C2314yes—
481C22⋊Q8×C37C2312yes—
482C22⋊Q8×C37C2312yes—
483C22⋊Q8×C37C2312yes—
484C22⋊Q8×C37C2312yes—
485C22⋊Q8×C37C2312yes—
486C22⋊Q8×C37C2314yes—
487C22⋊Q8×C37C2312yes—
488C22⋊Q8×C37C2314yes—
489C22⋊Q8×C37C2314yes—
490C22⋊Q8×C37C2314yes—
491C22⋊Q8×C37C2312yes—
492C22⋊Q8×C37C2314yes—
493C22⋊Q8×C37C2314yes—
494C22⋊Q8×C37C2312yes—
495C22⋊Q8×C37C2314yes—
496C22⋊Q8×C37C2312yes—
497C22⋊Q8×C37C2312yes—
498C22⋊Q8×C37C2314yes—
499C22⋊Q8×C37C2314yes—
500C22⋊Q8×C37C2314yes—
501C22⋊Q8×C37C2314yes—
502C22⋊Q8×C37C2314yes—
503C22⋊Q8×C37C2314yes—
504C22⋊Q8×C37C2314yes—
505C22⋊Q8×C37C2314yes—
506C22⋊Q8×C37C2314yes—
507C22⋊Q8×C37C2314yes—
508C22⋊Q8×C37C2314yes—
509C22⋊Q8×C37C2314yes—
510C22⋊Q8×C37C2314yes—
511#121×C37C2311yescharacteristic
512#121×C37C2312yes—
513#121×C37C2312yes—
514#121×C37C2312yes—
515#121×C37C2314yes—
516#121×C37C2314yes—
517#121×C37C2312yes—
518#121×C37C2314yes—
519#121×C37C2312yes—
520#121×C37C2314yes—
521#121×C37C2312yes—
522#121×C37C2314yes—
523#121×C37C2314yes—
524#121×C37C2311yescharacteristic
525#121×C37C2311yescharacteristic
526#121×C37C2312yes—
527#121×C37C2312yes—
528#121×C37C2312yes—
529#121×C37C2314yes—
530#121×C37C2312yes—
531#121×C37C2312yes—
532#121×C37C2311yescharacteristic
533#121×C37C2314yes—
534#121×C37C2312yes—
535#121×C37C2314yes—
536#121×C37C2312yes—
537#121×C37C2312yes—
538#121×C37C2312yes—
539#121×C37C2312yes—
540#121×C37C2314yes—
541#121×C37C2314yes—
542#121×C37C2314yes—
543#121×C37C2314yes—
544#121×C37C2314yes—
545#121×C37C2312yes—
546#121×C37C2312yes—
547#121×C37C2312yes—
548#121×C37C2314yes—
549#121×C37C2314yes—
550#121×C37C2314yes—
551#121×C37C2314yes—
552#121×C37C2314yes—
553#121×C37C2314yes—
554#121×C37C2314yes—
555#121×C37C2314yes—
556#121×C37C2314yes—
557#121×C37C2314yes—
558#121×C37C2314yes—
559#121×C37C2314yes—
560#121×C37C2314yes—
561#121×C37C2314yes—
562#121×C37C2314yes—
563#121×C37C2314yes—
564#121×C37C2314yes—
565#121×C37C2314yes—
566#121×C37C2314yes—
567#121×C37C2314yes—
568#121×C37C2314yes—
569#121×C37C2314yes—
570#120×C37C2312yes—
571#120×C37C2314yes—
572#120×C37C2314yes—
573#120×C37C2312yes—
574#120×C37C2312yes—
575#120×C37C2314yes—
576#120×C37C2314yes—
577#120×C37C2314yes—
578#120×C37C2312yes—
579#120×C37C2314yes—
580#120×C37C2312yes—
581#120×C37C2312yes—
582#120×C37C2314yes—
583#120×C37C2314yes—
584#120×C37C2314yes—
585#120×C37C2314yes—
586#120×C37C2314yes—
587#120×C37C2314yes—
588C4×Q8×C37C2312yes—
589C4×Q8×C37C2312yes—
590C4×Q8×C37C2314yes—
591C4×Q8×C37C2312yes—
592C4×Q8×C37C2312yes—
593C4×Q8×C37C2314yes—
594C4×Q8×C37C2312yes—
595C4×Q8×C37C2314yes—
596C4×Q8×C37C2312yes—
597C4×Q8×C37C2312yes—
598C4×D4×C37C2312yes—
599C4×D4×C37C2312yes—
600C4×D4×C37C2314yes—
601C4×D4×C37C2314yes—
602C4×D4×C37C2314yes—
603C4×D4×C37C2314yes—
604C4×D4×C37C2314yes—
605C4×D4×C37C2314yes—
606C4×D4×C37C2314yes—
607C4×D4×C37C2314yes—
608C4×D4×C37C2314yes—
609C4×D4×C37C2312yes—
610C4×D4×C37C2312yes—
611C4×D4×C37C2312yes—
612C4×D4×C37C2312yes—
613C4×D4×C37C2312yes—
614C4×D4×C37C2312yes—
615C4×D4×C37C2314yes—
616C4×D4×C37C2314yes—
617C4×D4×C37C2314yes—
618C4×D4×C37C2312yes—
619C4×D4×C37C2314yes—
620C4×D4×C37C2312yes—
621C4×D4×C37C2312yes—
622C4×D4×C37C2312yes—
623C4×D4×C37C2312yes—
624C4×D4×C37C2312yes—
625C4×D4×C37C2314yes—
626C4×D4×C37C2314yes—
627C4×D4×C37C2314yes—
628C4×D4×C37C2314yes—
629C4×D4×C37C2314yes—
630C4×D4×C37C2314yes—
631C4×D4×C37C2314yes—
632C4×D4×C37C2314yes—
633C4×D4×C37C2314yes—
634C4×D4×C37C2314yes—
635C4×D4×C37C2314yes—
636C4×D4×C37C2314yes—
637C4×D4×C37C2314yes—
638C4×D4×C37C2312yes—
639C4×D4×C37C2314yes—
640C4×D4×C37C2312yes—
641C4×D4×C37C2314yes—
642C4×D4×C37C2312yes—
643C4×D4×C37C2312yes—
644C4×D4×C37C2314yes—
645C4×D4×C37C2312yes—
646C4×D4×C37C2314yes—
647C4×D4×C37C2312yes—
648C4×D4×C37C2314yes—
649C4×D4×C37C2314yes—
650C4×D4×C37C2314yes—
651C4×D4×C37C2314yes—
652C4×D4×C37C2314yes—
653C4×D4×C37C2312yes—
654#117×C37C2311yescharacteristic
655#117×C37C2312yes—
656#117×C37C2311yescharacteristic
657#117×C37C2312yes—
658#117×C37C2314yes—
659#117×C37C2312yes—
660#117×C37C2314yes—
661#117×C37C2314yes—
662#117×C37C2314yes—
663#117×C37C2314yes—
664#117×C37C2312yes—
665#117×C37C2312yes—
666#117×C37C2312yes—
667#117×C37C2314yes—
668#117×C37C2314yes—
669#117×C37C2314yes—
670#117×C37C2314yes—
671#117×C37C2314yes—
672C2×C4⋊C4×C37C2312yes—
673C2×C4⋊C4×C37C2312yes—
674C2×C4⋊C4×C37C2311yescharacteristic
675C2×C4⋊C4×C37C2314yes—
676C2×C4⋊C4×C37C2312yes—
677C2×C4⋊C4×C37C2312yes—
678C2×C4⋊C4×C37C2311yescharacteristic
679C2×C4⋊C4×C37C2314yes—
680C2×C4⋊C4×C37C2314yes—
681C2×C4⋊C4×C37C2312yes—
682C2×C4⋊C4×C37C2311yescharacteristic
683C2×C4⋊C4×C37C2314yes—
684C2×C4⋊C4×C37C2312yes—
685C2×C4⋊C4×C37C2314yes—
686C2×C4⋊C4×C37C2314yes—
687C2×C4⋊C4×C37C2312yes—
688C2×C4⋊C4×C37C2312yes—
689C2×C4⋊C4×C37C2314yes—
690C2×C4⋊C4×C37C2314yes—
691C2×C4⋊C4×C37C2314yes—
692C2×C4⋊C4×C37C2311yescharacteristic
693C2×C4⋊C4×C37C2314yes—
694C2×C4⋊C4×C37C2314yes—
695C2×C4⋊C4×C37C2312yes—
696C2×C22⋊C4×C37C2314yes—
697C2×C22⋊C4×C37C2312yes—
698C2×C22⋊C4×C37C2312yes—
699C2×C22⋊C4×C37C2312yes—
700C2×C22⋊C4×C37C2314yes—
701C2×C22⋊C4×C37C2314yes—
702C2×C22⋊C4×C37C2312yes—
703C2×C22⋊C4×C37C2314yes—
704C2×C22⋊C4×C37C2314yes—
705C2×C22⋊C4×C37C2311yescharacteristic
706C2×C22⋊C4×C37C2311yescharacteristic
707C2×C22⋊C4×C37C2312yes—
708C2×C22⋊C4×C37C2314yes—
709C2×C22⋊C4×C37C2314yes—
710C2×C22⋊C4×C37C2314yes—
711C2×C22⋊C4×C37C2314yes—
712C2×C22⋊C4×C37C2312yes—
713C2×C22⋊C4×C37C2312yes—
714C2×C42×C37C2314yes—
715C2×C42×C37C2311yescharacteristic
716C2×C42×C37C2312yes—
717C24×C37C2412yes—
718C24×C37C2414yes—
719C24×C37C2411yescharacteristic
720C24×C37C2411yescharacteristic
721C24×C37C2412yes—
722C24×C37C2412yes—
723#41×C37—28no—
724#41×C37—24no—
725#41×C37—24no—
726#41×C37—28no—
727#41×C37—42no—
728#41×C37—42no—
729#41×C37—48no—
730#41×C37—48no—
731#41×C37—44no—
732#41×C37—48no—
733#41×C37—44no—
734#41×C37—48no—
735#41×C37—44no—
736#41×C37—44no—
737#41×C37—48no—
738#41×C37—44no—
739#41×C37—44no—
740#41×C37—42no—
741#41×C37—44no—
742#41×C37—42no—
743#41×C37—44no—
744C2×Q8×C37—44no—
745C2×Q8×C37—42no—
746C2×Q8×C37—42no—
747C2×Q8×C37—44no—
748C2×Q8×C37—42no—
749C2×Q8×C37—44no—
750C2×Q8×C37C2411yescharacteristic
751C2×Q8×C37C2412yes—
752C2×Q8×C37C2412yes—
753C2×Q8×C37C2411yescharacteristic
754C2×Q8×C37C2412yes—
755C2×Q8×C37C2414yes—
756C2×Q8×C37C2411yescharacteristic
757C2×Q8×C37C2412yes—
758C2×Q8×C37C2414yes—
759C2×Q8×C37C2411yescharacteristic
760C2×Q8×C37C2412yes—
761C2×Q8×C37C2412yes—
762C2×Q8×C37C2414yes—
763C2×D4×C37—24no—
764C2×D4×C37—28no—
765C2×D4×C37—42no—
766C2×D4×C37—42no—
767C2×D4×C37—44no—
768C2×D4×C37—48no—
769C2×D4×C37—44no—
770C2×D4×C37—44no—
771C2×D4×C37—44no—
772C2×D4×C37—44no—
773C2×D4×C37—48no—
774C2×D4×C37—48no—
775C2×D4×C37C2412yes—
776C2×D4×C37C2414yes—
777C2×D4×C37C2412yes—
778C2×D4×C37C2412yes—
779C2×D4×C37C2414yes—
780C2×D4×C37C2412yes—
781C2×D4×C37C2414yes—
782C2×D4×C37C2414yes—
783C2×D4×C37C2412yes—
784C2×D4×C37C2412yes—
785C2×D4×C37C2411yescharacteristic
786C2×D4×C37C2412yes—
787C2×D4×C37C2412yes—
788C2×D4×C37C2414yes—
789C2×D4×C37C2412yes—
790C2×D4×C37C2414yes—
791C2×D4×C37C2414yes—
792C2×D4×C37C2414yes—
793C2×D4×C37C2412yes—
794C2×D4×C37C2412yes—
795C2×D4×C37C2414yes—
796C2×D4×C37C2412yes—
797C2×D4×C37C2414yes—
798C2×D4×C37C2412yes—
799C2×D4×C37C2414yes—
800C2×D4×C37C2412yes—
801C2×D4×C37C2411yescharacteristic
802C2×D4×C37C2412yes—
803C2×D4×C37C2414yes—
804C2×D4×C37C2411yescharacteristic
805C2×D4×C37C2412yes—
806C2×D4×C37C2414yes—
807C2×D4×C37C2414yes—
808C2×D4×C37C2414yes—
809C2×D4×C37C2412yes—
810C2×D4×C37C2412yes—
811C2×D4×C37C2411yescharacteristic
812C22×C4×C37—42no—
813C22×C4×C37—42no—
814C22×C4×C37—44no—
815C22×C4×C37—44no—
816C22×C4×C37—44no—
817C22×C4×C37—48no—
818C22×C4×C37—44no—
819C22×C4×C37C2414yes—
820C22×C4×C37C2411yescharacteristic
821C22×C4×C37C2411yescharacteristic
822C22×C4×C37C2412yes—
823C22×C4×C37C2412yes—
824C22×C4×C37C2412yes—
825C22×C4×C37C2414yes—
826C22×C4×C37C2412yes—
827C22×C4×C37C2412yes—
828C22×C4×C37C2411yescharacteristic
829C22×C4×C37C2411yescharacteristic
830C22×C4×C37C2412yes—
831C22×C4×C37C2411yescharacteristic
832C22×C4×C37C2414yes—
833C22×C4×C37C2412yes—
834C22×C4×C37C2414yes—
835C22×C4×C37C2412yes—
836C22×C4×C37C2414yes—
837C22×C4×C37C2414yes—
838C22×C4×C37C2414yes—
839C22×C4×C37C2411yescharacteristic
840C22×C4×C37C2411yescharacteristic
841C22×C4×C37C2412yes—
842C22×C4×C37C2412yes—
843C22×C4×C37C2411yescharacteristic
844C22×C4×C37C2412yes—
845C22×C4×C37C2414yes—
846C22×C4×C37C2412yes—
847C22×C4×C37C2414yes—
848C22×C4×C37C2412yes—
849C22×C4×C37C2412yes—
850C22×C4×C37C2414yes—
851C22×C4×C37C2414yes—
852C22×C4×C37C2412yes—
853C22×C4×C37C2412yes—
854C22×C4×C37C2414yes—
855C22×C4×C37C2414yes—
856C22×C4×C37C2414yes—
857C22×C4×C37C2411yescharacteristic
858C22×C4×C37C2412yes—
859C22×C4×C37C2412yes—
860C22×C4×C37C2412yes—
861C22×C4×C37C2414yes—
862C4⋊C4×C37C2412yes—
863C4⋊C4×C37C2412yes—
864C4⋊C4×C37C2414yes—
865C4⋊C4×C37C2414yes—
866C4⋊C4×C37C2412yes—
867C4⋊C4×C37C2412yes—
868C4⋊C4×C37C2414yes—
869C4⋊C4×C37C2414yes—
870C4⋊C4×C37C2414yes—
871C4⋊C4×C37C2414yes—
872C4⋊C4×C37C2412yes—
873C4⋊C4×C37C2414yes—
874C4⋊C4×C37C2412yes—
875C4⋊C4×C37C2412yes—
876C4⋊C4×C37C2411yescharacteristic
877C4⋊C4×C37C2414yes—
878C4⋊C4×C37C2411yescharacteristic
879C4⋊C4×C37C2414yes—
880C4⋊C4×C37C2412yes—
881C4⋊C4×C37C2412yes—
882C4⋊C4×C37C2414yes—
883C4⋊C4×C37C2414yes—
884C4⋊C4×C37C2412yes—
885C4⋊C4×C37C2412yes—
886C4⋊C4×C37C2414yes—
887C4⋊C4×C37C2412yes—
888C4⋊C4×C37C2412yes—
889C4⋊C4×C37C2414yes—
890C4⋊C4×C37C2414yes—
891C4⋊C4×C37C2414yes—
892C4⋊C4×C37C2414yes—
893C4⋊C4×C37C2414yes—
894C4⋊C4×C37C2414yes—
895C4⋊C4×C37C2414yes—
896C4⋊C4×C37C2414yes—
897C4⋊C4×C37C2412yes—
898C4⋊C4×C37C2414yes—
899C4⋊C4×C37C2412yes—
900C4⋊C4×C37C2412yes—
901C4⋊C4×C37C2414yes—
902C4⋊C4×C37C2414yes—
903C4⋊C4×C37C2414yes—
904C4⋊C4×C37C2414yes—
905C4⋊C4×C37C2414yes—
906C4⋊C4×C37C2414yes—
907C4⋊C4×C37C2411yescharacteristic
908C4⋊C4×C37C2411yescharacteristic
909C4⋊C4×C37C2412yes—
910C4⋊C4×C37C2414yes—
911C4⋊C4×C37C2412yes—
912C4⋊C4×C37C2412yes—
913C4⋊C4×C37C2412yes—
914C4⋊C4×C37C2414yes—
915C4⋊C4×C37C2414yes—
916C4⋊C4×C37C2414yes—
917C4⋊C4×C37C2412yes—
918C4⋊C4×C37C2414yes—
919C4⋊C4×C37C2412yes—
920C22⋊C4×C37C2412yes—
921C22⋊C4×C37C2412yes—
922C22⋊C4×C37C2412yes—
923C22⋊C4×C37C2414yes—
924C22⋊C4×C37C2414yes—
925C22⋊C4×C37C2414yes—
926C22⋊C4×C37C2414yes—
927C22⋊C4×C37C2412yes—
928C22⋊C4×C37C2414yes—
929C22⋊C4×C37C2412yes—
930C22⋊C4×C37C2412yes—
931C22⋊C4×C37C2414yes—
932C22⋊C4×C37C2414yes—
933C22⋊C4×C37C2412yes—
934C22⋊C4×C37C2412yes—
935C22⋊C4×C37C2414yes—
936C22⋊C4×C37C2414yes—
937C22⋊C4×C37C2414yes—
938C22⋊C4×C37C2414yes—
939C22⋊C4×C37C2412yes—
940C22⋊C4×C37C2414yes—
941C22⋊C4×C37C2412yes—
942C22⋊C4×C37C2414yes—
943C22⋊C4×C37C2414yes—
944C22⋊C4×C37C2414yes—
945C22⋊C4×C37C2414yes—
946C22⋊C4×C37C2414yes—
947C22⋊C4×C37C2414yes—
948C22⋊C4×C37C2414yes—
949C22⋊C4×C37C2412yes—
950C22⋊C4×C37C2414yes—
951C22⋊C4×C37C2412yes—
952C22⋊C4×C37C2412yes—
953C22⋊C4×C37C2412yes—
954C22⋊C4×C37C2414yes—
955C22⋊C4×C37C2412yes—
956C22⋊C4×C37C2414yes—
957C22⋊C4×C37C2414yes—
958C22⋊C4×C37C2412yes—
959C22⋊C4×C37C2414yes—
960C22⋊C4×C37C2414yes—
961C22⋊C4×C37C2414yes—
962C22⋊C4×C37C2412yes—
963C22⋊C4×C37C2414yes—
964C22⋊C4×C37C2414yes—
965C22⋊C4×C37C2412yes—
966C22⋊C4×C37C2412yes—
967C22⋊C4×C37C2414yes—
968C22⋊C4×C37C2414yes—
969C22⋊C4×C37C2414yes—
970C22⋊C4×C37C2412yes—
971C22⋊C4×C37C2412yes—
972C22⋊C4×C37C2412yes—
973C22⋊C4×C37C2414yes—
974C22⋊C4×C37C2414yes—
975C22⋊C4×C37C2412yes—
976C22⋊C4×C37C2412yes—
977C22⋊C4×C37C2414yes—
978C42×C37C2412yes—
979C42×C37C2414yes—
980C42×C37C2412yes—
981C42×C37C2412yes—
982C42×C37C2412yes—
983C42×C37C2412yes—
984C42×C37C2412yes—
985C42×C37C2414yes—
986C42×C37C2414yes—
987C42×C37C2414yes—
988C42×C37C2414yes—
989C42×C37C2414yes—
990C42×C37C2414yes—
991C42×C37C2414yes—
992C23×C37—24no—
993C23×C37—24no—
994C23×C37—28no—
995C23×C37—22no—
996C23×C37—22no—
997C23×C37—42no—
998C23×C37—41no—
999C23×C37—41no—
1000C23×C37—42no—
1001C23×C37—44no—
1002C23×C37—42no—
1003C23×C37—44no—
1004C23×C37—41no—
1005C23×C37—41no—
1006C23×C37—42no—
1007C23×C37—42no—
1008C23×C37—42no—
1009C23×C37—42no—
1010C23×C37C2512yes—
1011C23×C37C2511yescharacteristic
1012C23×C37C2512yes—
1013C23×C37C2514yes—
1014C23×C37C2512yes—
1015C23×C37C2511yescharacteristic
1016C23×C37C2512yes—
1017C23×C37C2512yes—
1018C23×C37C2511yescharacteristic
1019Q8×C37—22no—
1020Q8×C37—24no—
1021Q8×C37—24no—
1022Q8×C37—22no—
1023Q8×C37—41no—
1024Q8×C37—42no—
1025Q8×C37—44no—
1026Q8×C37—44no—
1027Q8×C37—42no—
1028Q8×C37—42no—
1029Q8×C37—42no—
1030Q8×C37—44no—
1031Q8×C37—41no—
1032D4×C37—28no—
1033D4×C37—24no—
1034D4×C37—24no—
1035D4×C37—28no—
1036D4×C37—24no—
1037D4×C37—28no—
1038D4×C37—24no—
1039D4×C37—28no—
1040D4×C37—24no—
1041D4×C37—24no—
1042D4×C37—22no—
1043D4×C37—41no—
1044D4×C37—42no—
1045D4×C37—42no—
1046D4×C37—44no—
1047D4×C37—42no—
1048D4×C37—42no—
1049D4×C37—42no—
1050D4×C37—44no—
1051D4×C37—44no—
1052D4×C37—44no—
1053D4×C37—42no—
1054D4×C37—42no—
1055D4×C37—44no—
1056D4×C37—44no—
1057D4×C37—44no—
1058D4×C37—42no—
1059D4×C37—44no—
1060D4×C37—44no—
1061D4×C37—42no—
1062D4×C37—42no—
1063D4×C37—42no—
1064D4×C37—44no—
1065D4×C37—44no—
1066D4×C37—42no—
1067D4×C37—41no—
1068D4×C37H(5,𝔽2)14yes—
1069C2×C4×C37—28no—
1070C2×C4×C37—24no—
1071C2×C4×C37—28no—
1072C2×C4×C37—24no—
1073C2×C4×C37—22no—
1074C2×C4×C37—24no—
1075C2×C4×C37—22no—
1076C2×C4×C37—24no—
1077C2×C4×C37—24no—
1078C2×C4×C37—22no—
1079C2×C4×C37—22no—
1080C2×C4×C37—24no—
1081C2×C4×C37—41no—
1082C2×C4×C37—42no—
1083C2×C4×C37—41no—
1084C2×C4×C37—44no—
1085C2×C4×C37—44no—
1086C2×C4×C37—42no—
1087C2×C4×C37—42no—
1088C2×C4×C37—44no—
1089C2×C4×C37—42no—
1090C2×C4×C37—42no—
1091C2×C4×C37—44no—
1092C2×C4×C37—44no—
1093C2×C4×C37—41no—
1094C2×C4×C37—42no—
1095C2×C4×C37—42no—
1096C2×C4×C37—41no—
1097C2×C4×C37—42no—
1098C2×C4×C37—44no—
1099C2×C4×C37—42no—
1100C2×C4×C37—44no—
1101C2×C4×C37—44no—
1102C2×C4×C37—41no—
1103C2×C4×C37—42no—
1104C2×C4×C37—44no—
1105C2×C4×C37—42no—
1106C2×C4×C37—42no—
1107C2×C4×C37—44no—
1108C2×C4×C37—42no—
1109C2×C4×C37—44no—
1110C2×C4×C37—44no—
1111C2×C4×C37—44no—
1112C2×C4×C37C2512yes—
1113C2×C4×C37C2512yes—
1114C2×C4×C37C2512yes—
1115C2×C4×C37C2514yes—
1116C2×C4×C37C2512yes—
1117C2×C4×C37C2514yes—
1118C2×C4×C37C2512yes—
1119C2×C4×C37C2512yes—
1120C2×C4×C37C2514yes—
1121C2×C4×C37C2512yes—
1122C2×C4×C37C2511yescharacteristic
1123C2×C4×C37C2514yes—
1124C2×C4×C37C2512yes—
1125C2×C4×C37C2512yes—
1126C2×C4×C37C2514yes—
1127C2×C4×C37C2512yes—
1128C2×C4×C37C2512yes—
1129C2×C4×C37C2511yescharacteristic
1130C2×C4×C37C2511yescharacteristic
1131C2×C4×C37C2511yescharacteristic
1132#62898C3711yesmaximal, characteristic, direct product factor, Sylow
1133C22×C37—21no—
1134C22×C37—22no—
1135C22×C37—22no—
1136C22×C37—21no—
1137C22×C37—22no—
1138C22×C37—21no—
1139C22×C37—22no—
1140C22×C37—22no—
1141C22×C37—21no—
1142C22×C37—22no—
1143C22×C37—24no—
1144C22×C37—22no—
1145C22×C37—22no—
1146C22×C37—21no—
1147C22×C37—24no—
1148C22×C37—22no—
1149C22×C37—22no—
1150C22×C37—21no—
1151C22×C37—21no—
1152C22×C37—22no—
1153C22×C37—24no—
1154C22×C37—22no—
1155C22×C37—22no—
1156C22×C37—22no—
1157C22×C37—21no—
1158C22×C37—48no—
1159C22×C37—82no—
1160C22×C37—82no—
1161C22×C37—88no—
1162C22×C37—84no—
1163C22×C37—162no—
1164C22×C37C2×H(5,𝔽2)14yes—
1165C22×C37#58512yes—
1166C22×C37C2611yescharacteristic
1167C4×C37—22no—
1168C4×C37—21no—
1169C4×C37—22no—
1170C4×C37—21no—
1171C4×C37—22no—
1172C4×C37—21no—
1173C4×C37—22no—
1174C4×C37—24no—
1175C4×C37—22no—
1176C4×C37—24no—
1177C4×C37—22no—
1178C4×C37—24no—
1179C4×C37—22no—
1180C4×C37—24no—
1181C4×C37—22no—
1182C4×C37—24no—
1183C4×C37—22no—
1184C4×C37—22no—
1185C4×C37—22no—
1186C4×C37C2×H(5,𝔽2)12yes—
1187#3562C2×C3712yescomplemented
1188#3560C2×C3714yescomplemented
1189#3559C2×C3714yescomplemented
1190#3554C2×C3712yescomplemented
1191#3552C2×C3712yescomplemented
1192#3541C2×C3712yescomplemented
1193#3539C2×C3712yescomplemented
1194#3538C2×C3711yescharacteristic, complemented
1195#3536C2×C3711yescharacteristic, complemented
1196#3535C2×C3712yescomplemented
1197#3535C2×C3714yescomplemented
1198#3534C2×C3712yescomplemented
1199#3534C2×C3714yescomplemented
1200#3533C2×C3714yescomplemented
1201#3521C2×C3712yescomplemented
1202#3520C2×C3712yescomplemented
1203#3515C2×C3712yescomplemented
1204#3513C2×C3714yescomplemented
1205#3513C2×C3712yescomplemented
1206#3505C2×C3711yescharacteristic, complemented
1207#3492C2×C3712yescomplemented
1208#3489C2×C3712yescomplemented
1209#3489C2×C3711yescharacteristic, complemented
1210#3488C2×C3711yescharacteristic, complemented
1211#3485C2×C3712yescomplemented
1212D4×#41C2×C3712yescomplemented
1213C2×#547C2×C3711yescharacteristic, complemented
1214#3459C2×C3711yescharacteristic, complemented
1215C2×#539C2×C3712yescomplemented
1216C2×C37—22no—
1217C2×C37—24no—
1218C2×C37—42no—
1219C2×C37—42no—
1220C2×C37—41no—
1221C2×C37—42no—
1222C2×C37—42no—
1223C2×C37—44no—
1224C2×C37—41no—
1225C2×C37C22×H(5,𝔽2)11yescharacteristic
1226C2×C37C2×#58511yescharacteristic
1227C2×C372−1+611yescharacteristic
1228C2×2−1+4C22×C3711yescharacteristic, complemented
1229C2×H(5,𝔽2)C22×C3711yescharacteristic, complemented
1230C22×#41C22×C3711yescharacteristic, complemented
1231C22×#41C22×C3711yescharacteristic, complemented
1232C22×#41C22×C3712yescomplemented
1233#563C22×C3714yescomplemented
1234#563C22×C3714yescomplemented
1235#563C22×C3714yescomplemented
1236#563C22×C3714yescomplemented
1237#562C22×C3714yescomplemented
1238#562C22×C3714yescomplemented
1239#562C22×C3714yescomplemented
1240#562C22×C3714yescomplemented
1241#562C22×C3714yescomplemented
1242#560C22×C3714yescomplemented
1243#560C22×C3714yescomplemented
1244#560C22×C3714yescomplemented
1245#559C22×C3714yescomplemented
1246#559C22×C3712yescomplemented
1247#557C22×C3712yescomplemented
1248#556C22×C3712yescomplemented
1249#556C22×C3712yescomplemented
1250#554C22×C3714yescomplemented
1251#554C22×C3714yescomplemented
1252#554C22×C3712yescomplemented
1253#554C22×C3714yescomplemented
1254#554C22×C3712yescomplemented
1255#554C22×C3714yescomplemented
1256#553C22×C3714yescomplemented
1257#553C22×C3714yescomplemented
1258#553C22×C3712yescomplemented
1259#553C22×C3714yescomplemented
1260#553C22×C3714yescomplemented
1261#553C22×C3712yescomplemented
1262#553C22×C3714yescomplemented
1263#553C22×C3714yescomplemented
1264#553C22×C3714yescomplemented
1265#553C22×C3714yescomplemented
1266#553C22×C3714yescomplemented
1267#552C22×C3714yescomplemented
1268#552C22×C3714yescomplemented
1269#552C22×C3712yescomplemented
1270#552C22×C3714yescomplemented
1271#552C22×C3712yescomplemented
1272#552C22×C3712yescomplemented
1273#552C22×C3714yescomplemented
1274#552C22×C3712yescomplemented
1275#551C22×C3714yescomplemented
1276#551C22×C3714yescomplemented
1277#551C22×C3714yescomplemented
1278#551C22×C3714yescomplemented
1279#551C22×C3714yescomplemented
1280#551C22×C3714yescomplemented
1281#551C22×C3714yescomplemented
1282#551C22×C3714yescomplemented
1283#551C22×C3714yescomplemented
1284#550C22×C3712yescomplemented
1285#550C22×C3712yescomplemented
1286D4×Q8C22×C3712yescomplemented
1287D4×Q8C22×C3712yescomplemented
1288D4×Q8C22×C3712yescomplemented
1289D4×Q8C22×C3712yescomplemented
1290#548C22×C3712yescomplemented
1291#548C22×C3712yescomplemented
1292#548C22×C3712yescomplemented
1293#548C22×C3712yescomplemented
1294#548C22×C3712yescomplemented
1295#548C22×C3712yescomplemented
1296#547C22×C3712yescomplemented
1297#547C22×C3712yescomplemented
1298#547C22×C3714yescomplemented
1299#547C22×C3714yescomplemented
1300#547C22×C3712yescomplemented
1301#547C22×C3712yescomplemented
1302#547C22×C3712yescomplemented
1303#547C22×C3714yescomplemented
1304#547C22×C3712yescomplemented
1305#547C22×C3714yescomplemented
1306#547C22×C3712yescomplemented
1307#547C22×C3714yescomplemented
1308#547C22×C3712yescomplemented
1309#547C22×C3714yescomplemented
1310#547C22×C3714yescomplemented
1311#547C22×C3714yescomplemented
1312#547C22×C3712yescomplemented
1313#546C22×C3712yescomplemented
1314#546C22×C3712yescomplemented
1315#546C22×C3714yescomplemented
1316#546C22×C3714yescomplemented
1317#546C22×C3712yescomplemented
1318#546C22×C3712yescomplemented
1319#546C22×C3714yescomplemented
1320#546C22×C3714yescomplemented
1321#546C22×C3712yescomplemented
1322#546C22×C3712yescomplemented
1323#546C22×C3714yescomplemented
1324#546C22×C3714yescomplemented
1325#546C22×C3714yescomplemented
1326#546C22×C3714yescomplemented
1327#546C22×C3714yescomplemented
1328#546C22×C3714yescomplemented
1329#546C22×C3714yescomplemented
1330D42C22×C3712yescomplemented
1331D42C22×C3714yescomplemented
1332D42C22×C3714yescomplemented
1333#544C22×C3712yescomplemented
1334#544C22×C3714yescomplemented
1335#544C22×C3712yescomplemented
1336#543C22×C3711yescharacteristic, complemented
1337#543C22×C3712yescomplemented
1338#542C22×C3714yescomplemented
1339#542C22×C3712yescomplemented
1340#542C22×C3714yescomplemented
1341#542C22×C3712yescomplemented
1342#542C22×C3714yescomplemented
1343#542C22×C3714yescomplemented
1344#541C22×C3712yescomplemented
1345#541C22×C3712yescomplemented
1346#541C22×C3712yescomplemented
1347#540C22×C3714yescomplemented
1348#540C22×C3712yescomplemented
1349#540C22×C3714yescomplemented
1350#540C22×C3714yescomplemented
1351#540C22×C3714yescomplemented
1352#539C22×C3711yescharacteristic, complemented
1353#539C22×C3712yescomplemented
1354#539C22×C3714yescomplemented
1355#539C22×C3714yescomplemented
1356#539C22×C3712yescomplemented
1357#539C22×C3714yescomplemented
1358#539C22×C3712yescomplemented
1359#539C22×C3714yescomplemented
1360#539C22×C3714yescomplemented
1361#539C22×C3714yescomplemented
1362#539C22×C3711yescharacteristic, complemented
1363#539C22×C3712yescomplemented
1364#539C22×C3712yescomplemented
1365#539C22×C3714yescomplemented
1366#539C22×C3714yescomplemented
1367#539C22×C3714yescomplemented
1368#539C22×C3714yescomplemented
1369#539C22×C3714yescomplemented
1370#539C22×C3714yescomplemented
1371#539C22×C3714yescomplemented
1372#539C22×C3712yescomplemented
1373#539C22×C3714yescomplemented
1374#538C22×C3712yescomplemented
1375#538C22×C3712yescomplemented
1376#538C22×C3712yescomplemented
1377#538C22×C3712yescomplemented
1378#538C22×C3714yescomplemented
1379#538C22×C3714yescomplemented
1380#538C22×C3714yescomplemented
1381#538C22×C3714yescomplemented
1382#538C22×C3714yescomplemented
1383#538C22×C3714yescomplemented
1384#538C22×C3712yescomplemented
1385#537C22×C3711yescharacteristic, complemented
1386#537C22×C3712yescomplemented
1387#537C22×C3714yescomplemented
1388#537C22×C3712yescomplemented
1389#537C22×C3711yescharacteristic, complemented
1390#537C22×C3712yescomplemented
1391#537C22×C3712yescomplemented
1392#536C22×C3712yescomplemented
1393#536C22×C3712yescomplemented
1394#536C22×C3712yescomplemented
1395#536C22×C3714yescomplemented
1396#536C22×C3712yescomplemented
1397#536C22×C3711yescharacteristic, complemented
1398#535C22×C3712yescomplemented
1399#535C22×C3711yescharacteristic, complemented
1400#534C22×C3711yescharacteristic, complemented
1401#534C22×C3712yescomplemented
1402#534C22×C3714yescomplemented
1403#534C22×C3714yescomplemented
1404#534C22×C3712yescomplemented
1405#533C22×C3712yescomplemented
1406#532C22×C3712yescomplemented
1407#532C22×C3714yescomplemented
1408C2×C4⋊Q8C22×C3711yescharacteristic, complemented
1409#529C22×C3712yescomplemented
1410#529C22×C3712yescomplemented
1411#529C22×C3712yescomplemented
1412#529C22×C3712yescomplemented
1413#529C22×C3714yescomplemented
1414#529C22×C3714yescomplemented
1415#529C22×C3712yescomplemented
1416C2×#126C22×C3714yescomplemented
1417C2×#125C22×C3714yescomplemented
1418#525C22×C3711yescharacteristic
1419#525C22×C3712yescomplemented
1420#525C22×C3711yescharacteristic, complemented
1421#525C22×C3712yescomplemented
1422#525C22×C3714yescomplemented
1423#525C22×C3712yescomplemented
1424#525C22×C3714yescomplemented
1425#525C22×C3712yescomplemented
1426#525C22×C3712yescomplemented
1427#525C22×C3712yescomplemented
1428#525C22×C3712yescomplemented
1429#525C22×C3714yescomplemented
1430#525C22×C3714yescomplemented
1431C2×#123C22×C3714yescomplemented
1432C2×#123C22×C3714yescomplemented
1433C2×#123C22×C3712yescomplemented
1434C2×#123C22×C3712yescomplemented
1435C2×#123C22×C3714yescomplemented
1436C2×C22⋊Q8C22×C3712yescomplemented
1437C2×C22⋊Q8C22×C3714yescomplemented
1438C2×C22⋊Q8C22×C3711yescharacteristic, complemented
1439C2×C22⋊Q8C22×C3711yescharacteristic, complemented
1440C2×C22⋊Q8C22×C3711yescharacteristic, complemented
1441C2×C22⋊Q8C22×C3712yescomplemented
1442C2×#121C22×C3712yes—
1443C2×#121C22×C3712yescomplemented
1444C2×#121C22×C3711yescharacteristic, complemented
1445#520C22×C3711yescharacteristic, complemented
1446#520C22×C3712yescomplemented
1447#520C22×C3711yescharacteristic, complemented
1448#520C22×C3714yescomplemented
1449#518C22×C3712yescomplemented
1450#518C22×C3712yescomplemented
1451C4×#41C22×C3712yescomplemented
1452C2×C4×D4C22×C3714yescomplemented
1453C2×C4×D4C22×C3711yescharacteristic, complemented
1454C2×C4×D4C22×C3712yescomplemented
1455C2×C4×D4C22×C3711yescharacteristic, complemented
1456C22×C4⋊C4C22×C3712yescomplemented
1457C37#6289811yescharacteristic, direct product factor, Sylow
14582−1+4—44no—
1459H(5,𝔽2)—44no—
1460C2×#41—44no—
1461C2×#41—44no—
1462C2×#41—48no—
1463C2×#41C23×C3712yes—
1464C2×#41C23×C3712yes—
1465C2×#41C23×C3711yescharacteristic
1466C2×#41C23×C3711yescharacteristic
1467C2×#41C23×C3714yes—
1468C2×#41C23×C3711yescharacteristic
1469C2×#41C23×C3711yescharacteristic
1470C2×#41C23×C3714yes—
1471C2×#41C23×C3714yes—
1472C2×#41C23×C3712yes—
1473C2×#41C23×C3712yes—
1474C2×#41C23×C3712yes—
1475C2×#41C23×C3712yes—
1476C2×#41C23×C3714yes—
1477C2×#41C23×C3712yes—
1478C2×#41C23×C3712yes—
1479C2×#41C23×C3711yescharacteristic
1480C2×#41C23×C3712yes—
1481C2×#41C23×C3714yes—
1482C2×#41C23×C3712yes—
1483C2×#41C23×C3711yescharacteristic
1484C22×Q8C23×C3712yes—
1485C22×Q8C23×C3711yescharacteristic
1486C22×Q8C23×C3711yescharacteristic
1487C22×Q8C23×C3711yescharacteristic
1488C22×Q8C23×C3712yes—
1489C22×Q8C23×C3712yes—
1490C22×D4C23×C3711yescharacteristic
1491C22×D4C23×C3712yes—
1492C22×D4C23×C3714yes—
1493C22×D4C23×C3711yescharacteristic
1494C22×D4C23×C3712yes—
1495C22×D4C23×C3712yes—
1496C22×D4C23×C3712yes—
1497C22×D4C23×C3712yes—
1498C22×D4C23×C3712yes—
1499C22×D4C23×C3711yescharacteristic
1500C22×D4C23×C3714yes—
1501C22×D4C23×C3714yes—
1502C23×C4C23×C3712yes—
1503C23×C4C23×C3712yes—
1504C23×C4C23×C3712yes—
1505C23×C4C23×C3711yescharacteristic
1506C23×C4C23×C3711yescharacteristic
1507C23×C4C23×C3714yes—
1508C23×C4C23×C3712yes—
1509C4⋊Q8C23×C3712yes—
1510C4⋊Q8C23×C3712yes—
1511C4⋊Q8C23×C3714yes—
1512C4⋊Q8C23×C3712yes—
1513C4⋊Q8C23×C3714yes—
1514C4⋊Q8C23×C3712yes—
1515C4⋊Q8C23×C3712yes—
1516C4⋊Q8C23×C3714yes—
1517C4⋊Q8C23×C3714yes—
1518C4⋊Q8C23×C3714yes—
1519C4⋊Q8C23×C3714yes—
1520#127C23×C3712yes—
1521#127C23×C3714yes—
1522#127C23×C3714yes—
1523#126C23×C3712yes—
1524#126C23×C3714yes—
1525#126C23×C3714yes—
1526#126C23×C3714yes—
1527#126C23×C3714yes—
1528#126C23×C3714yes—
1529#126C23×C3714yes—
1530#126C23×C3714yes—
1531#126C23×C3712yes—
1532#126C23×C3712yes—
1533#126C23×C3712yes—
1534#126C23×C3714yes—
1535#126C23×C3712yes—
1536#126C23×C3712yes—
1537#126C23×C3714yes—
1538#126C23×C3714yes—
1539#126C23×C3714yes—
1540#126C23×C3714yes—
1541#126C23×C3714yes—
1542#126C23×C3714yes—
1543#126C23×C3714yes—
1544#126C23×C3714yes—
1545#126C23×C3714yes—
1546#126C23×C3714yes—
1547#126C23×C3714yes—
1548#126C23×C3714yes—
1549#125C23×C3712yes—
1550#125C23×C3714yes—
1551#125C23×C3714yes—
1552#125C23×C3714yes—
1553#125C23×C3714yes—
1554#125C23×C3714yes—
1555#125C23×C3714yes—
1556#125C23×C3714yes—
1557#125C23×C3712yes—
1558#125C23×C3712yes—
1559#125C23×C3714yes—
1560#125C23×C3712yes—
1561#125C23×C3712yes—
1562#125C23×C3714yes—
1563#125C23×C3714yes—
1564#125C23×C3714yes—
1565#125C23×C3714yes—
1566#125C23×C3714yes—
1567#125C23×C3714yes—
1568#125C23×C3714yes—
1569#124C23×C3712yes—
1570#124C23×C3712yes—
1571#124C23×C3712yes—
1572#124C23×C3712yes—
1573#124C23×C3712yes—
1574#124C23×C3714yes—
1575#124C23×C3712yes—
1576#124C23×C3712yes—
1577#124C23×C3714yes—
1578#124C23×C3714yes—
1579#124C23×C3714yes—
1580#124C23×C3714yes—
1581#124C23×C3714yes—
1582#124C23×C3714yes—
1583#124C23×C3714yes—
1584#124C23×C3714yes—
1585#124C23×C3714yes—
1586#124C23×C3714yes—
1587#123C23×C3712yes—
1588#123C23×C3712yes—
1589#123C23×C3714yes—
1590#123C23×C3712yes—
1591#123C23×C3714yes—
1592#123C23×C3714yes—
1593#123C23×C3714yes—
1594#123C23×C3714yes—
1595#123C23×C3714yes—
1596#123C23×C3714yes—
1597#123C23×C3714yes—
1598#123C23×C3714yes—
1599#123C23×C3714yes—
1600#123C23×C3714yes—
1601#123C23×C3714yes—
1602#123C23×C3714yes—
1603#123C23×C3714yes—
1604#123C23×C3714yes—
1605#123C23×C3714yes—
1606#123C23×C3714yes—
1607#123C23×C3714yes—
1608#123C23×C3714yes—
1609#123C23×C3714yes—
1610#123C23×C3714yes—
1611#123C23×C3714yes—
1612#123C23×C3714yes—
1613#123C23×C3714yes—
1614#123C23×C3714yes—
1615#123C23×C3714yes—
1616#123C23×C3714yes—
1617#123C23×C3712yes—
1618#123C23×C3712yes—
1619#123C23×C3714yes—
1620#123C23×C3714yes—
1621#123C23×C3714yes—
1622#123C23×C3714yes—
1623#123C23×C3714yes—
1624#123C23×C3712yes—
1625#123C23×C3712yes—
1626#123C23×C3712yes—
1627#123C23×C3714yes—
1628#123C23×C3714yes—
1629#123C23×C3712yes—
1630#123C23×C3712yes—
1631#123C23×C3712yes—
1632#123C23×C3712yes—
1633#123C23×C3714yes—
1634#123C23×C3714yes—
1635#123C23×C3714yes—
1636#123C23×C3714yes—
1637#123C23×C3714yes—
1638#123C23×C3714yes—
1639#123C23×C3714yes—
1640#123C23×C3714yes—
1641#123C23×C3714yes—
1642#123C23×C3714yes—
1643#123C23×C3714yes—
1644#123C23×C3714yes—
1645#123C23×C3714yes—
1646#123C23×C3714yes—
1647C22⋊Q8C23×C3712yes—
1648C22⋊Q8C23×C3712yes—
1649C22⋊Q8C23×C3711yescharacteristic
1650C22⋊Q8C23×C3714yes—
1651C22⋊Q8C23×C3712yes—
1652C22⋊Q8C23×C3712yes—
1653C22⋊Q8C23×C3712yes—
1654C22⋊Q8C23×C3712yes—
1655C22⋊Q8C23×C3714yes—
1656C22⋊Q8C23×C3712yes—
1657C22⋊Q8C23×C3714yes—
1658C22⋊Q8C23×C3712yes—
1659C22⋊Q8C23×C3712yes—
1660C22⋊Q8C23×C3714yes—
1661C22⋊Q8C23×C3712yes—
1662C22⋊Q8C23×C3712yes—
1663C22⋊Q8C23×C3712yes—
1664C22⋊Q8C23×C3712yes—
1665C22⋊Q8C23×C3712yes—
1666C22⋊Q8C23×C3712yes—
1667C22⋊Q8C23×C3714yes—
1668C22⋊Q8C23×C3714yes—
1669C22⋊Q8C23×C3714yes—
1670C22⋊Q8C23×C3714yes—
1671C22⋊Q8C23×C3714yes—
1672C22⋊Q8C23×C3714yes—
1673C22⋊Q8C23×C3714yes—
1674C22⋊Q8C23×C3712yes—
1675C22⋊Q8C23×C3711yescharacteristic
1676C22⋊Q8C23×C3711yescharacteristic
1677C22⋊Q8C23×C3712yes—
1678C22⋊Q8C23×C3711yescharacteristic
1679C22⋊Q8C23×C3714yes—
1680C22⋊Q8C23×C3712yes—
1681C22⋊Q8C23×C3712yes—
1682C22⋊Q8C23×C3712yes—
1683C22⋊Q8C23×C3712yes—
1684C22⋊Q8C23×C3712yes—
1685C22⋊Q8C23×C3714yes—
1686C22⋊Q8C23×C3712yes—
1687C22⋊Q8C23×C3714yes—
1688C22⋊Q8C23×C3714yes—
1689C22⋊Q8C23×C3714yes—
1690C22⋊Q8C23×C3712yes—
1691C22⋊Q8C23×C3714yes—
1692C22⋊Q8C23×C3714yes—
1693C22⋊Q8C23×C3712yes—
1694C22⋊Q8C23×C3714yes—
1695C22⋊Q8C23×C3712yes—
1696C22⋊Q8C23×C3712yes—
1697C22⋊Q8C23×C3714yes—
1698C22⋊Q8C23×C3714yes—
1699C22⋊Q8C23×C3714yes—
1700C22⋊Q8C23×C3714yes—
1701C22⋊Q8C23×C3714yes—
1702C22⋊Q8C23×C3714yes—
1703C22⋊Q8C23×C3714yes—
1704C22⋊Q8C23×C3714yes—
1705C22⋊Q8C23×C3714yes—
1706C22⋊Q8C23×C3714yes—
1707C22⋊Q8C23×C3714yes—
1708C22⋊Q8C23×C3714yes—
1709C22⋊Q8C23×C3714yes—
1710#121C23×C3711yescharacteristic
1711#121C23×C3712yes—
1712#121C23×C3712yes—
1713#121C23×C3712yes—
1714#121C23×C3714yes—
1715#121C23×C3714yes—
1716#121C23×C3712yes—
1717#121C23×C3714yes—
1718#121C23×C3712yes—
1719#121C23×C3714yes—
1720#121C23×C3712yes—
1721#121C23×C3714yes—
1722#121C23×C3714yes—
1723#121C23×C3711yescharacteristic
1724#121C23×C3711yescharacteristic
1725#121C23×C3712yes—
1726#121C23×C3712yes—
1727#121C23×C3712yes—
1728#121C23×C3714yes—
1729#121C23×C3712yes—
1730#121C23×C3712yes—
1731#121C23×C3711yescharacteristic
1732#121C23×C3714yes—
1733#121C23×C3712yes—
1734#121C23×C3714yes—
1735#121C23×C3712yes—
1736#121C23×C3712yes—
1737#121C23×C3712yes—
1738#121C23×C3712yes—
1739#121C23×C3714yes—
1740#121C23×C3714yes—
1741#121C23×C3714yes—
1742#121C23×C3714yes—
1743#121C23×C3714yes—
1744#121C23×C3712yes—
1745#121C23×C3712yes—
1746#121C23×C3712yes—
1747#121C23×C3714yes—
1748#121C23×C3714yes—
1749#121C23×C3714yes—
1750#121C23×C3714yes—
1751#121C23×C3714yes—
1752#121C23×C3714yes—
1753#121C23×C3714yes—
1754#121C23×C3714yes—
1755#121C23×C3714yes—
1756#121C23×C3714yes—
1757#121C23×C3714yes—
1758#121C23×C3714yes—
1759#121C23×C3714yes—
1760#121C23×C3714yes—
1761#121C23×C3714yes—
1762#121C23×C3714yes—
1763#121C23×C3714yes—
1764#121C23×C3714yes—
1765#121C23×C3714yes—
1766#121C23×C3714yes—
1767#121C23×C3714yes—
1768#121C23×C3714yes—
1769#120C23×C3712yes—
1770#120C23×C3714yes—
1771#120C23×C3714yes—
1772#120C23×C3712yes—
1773#120C23×C3712yes—
1774#120C23×C3714yes—
1775#120C23×C3714yes—
1776#120C23×C3714yes—
1777#120C23×C3712yes—
1778#120C23×C3714yes—
1779#120C23×C3712yes—
1780#120C23×C3712yes—
1781#120C23×C3714yes—
1782#120C23×C3714yes—
1783#120C23×C3714yes—
1784#120C23×C3714yes—
1785#120C23×C3714yes—
1786#120C23×C3714yes—
1787C4×Q8C23×C3712yes—
1788C4×Q8C23×C3712yes—
1789C4×Q8C23×C3712yes—
1790C4×Q8C23×C3712yes—
1791C4×Q8C23×C3714yes—
1792C4×Q8C23×C3712yes—
1793C4×Q8C23×C3712yes—
1794C4×Q8C23×C3714yes—
1795C4×Q8C23×C3712yes—
1796C4×Q8C23×C3714yes—
1797C4×D4C23×C3712yes—
1798C4×D4C23×C3714yes—
1799C4×D4C23×C3712yes—
1800C4×D4C23×C3712yes—
1801C4×D4C23×C3712yes—
1802C4×D4C23×C3712yes—
1803C4×D4C23×C3714yes—
1804C4×D4C23×C3712yes—
1805C4×D4C23×C3712yes—
1806C4×D4C23×C3712yes—
1807C4×D4C23×C3712yes—
1808C4×D4C23×C3712yes—
1809C4×D4C23×C3714yes—
1810C4×D4C23×C3712yes—
1811C4×D4C23×C3712yes—
1812C4×D4C23×C3714yes—
1813C4×D4C23×C3712yes—
1814C4×D4C23×C3714yes—
1815C4×D4C23×C3714yes—
1816C4×D4C23×C3714yes—
1817C4×D4C23×C3714yes—
1818C4×D4C23×C3712yes—
1819C4×D4C23×C3712yes—
1820C4×D4C23×C3712yes—
1821C4×D4C23×C3714yes—
1822C4×D4C23×C3714yes—
1823C4×D4C23×C3714yes—
1824C4×D4C23×C3714yes—
1825C4×D4C23×C3714yes—
1826C4×D4C23×C3714yes—
1827C4×D4C23×C3712yes—
1828C4×D4C23×C3714yes—
1829C4×D4C23×C3712yes—
1830C4×D4C23×C3714yes—
1831C4×D4C23×C3714yes—
1832C4×D4C23×C3714yes—
1833C4×D4C23×C3714yes—
1834C4×D4C23×C3714yes—
1835C4×D4C23×C3714yes—
1836C4×D4C23×C3714yes—
1837C4×D4C23×C3714yes—
1838C4×D4C23×C3712yes—
1839C4×D4C23×C3712yes—
1840C4×D4C23×C3712yes—
1841C4×D4C23×C3714yes—
1842C4×D4C23×C3714yes—
1843C4×D4C23×C3714yes—
1844C4×D4C23×C3714yes—
1845C4×D4C23×C3714yes—
1846C4×D4C23×C3714yes—
1847C4×D4C23×C3714yes—
1848C4×D4C23×C3714yes—
1849C4×D4C23×C3714yes—
1850C4×D4C23×C3714yes—
1851C4×D4C23×C3714yes—
1852C4×D4C23×C3714yes—
1853#117C23×C3714yes—
1854#117C23×C3712yes—
1855#117C23×C3712yes—
1856#117C23×C3712yes—
1857#117C23×C3714yes—
1858#117C23×C3711yescharacteristic
1859#117C23×C3712yes—
1860#117C23×C3711yescharacteristic
1861#117C23×C3712yes—
1862#117C23×C3714yes—
1863#117C23×C3712yes—
1864#117C23×C3714yes—
1865#117C23×C3714yes—
1866#117C23×C3714yes—
1867#117C23×C3714yes—
1868#117C23×C3714yes—
1869#117C23×C3714yes—
1870#117C23×C3714yes—
1871C2×C4⋊C4C23×C3711yescharacteristic
1872C2×C4⋊C4C23×C3712yes—
1873C2×C4⋊C4C23×C3712yes—
1874C2×C4⋊C4C23×C3712yes—
1875C2×C4⋊C4C23×C3714yes—
1876C2×C4⋊C4C23×C3714yes—
1877C2×C4⋊C4C23×C3714yes—
1878C2×C4⋊C4C23×C3714yes—
1879C2×C4⋊C4C23×C3711yescharacteristic
1880C2×C4⋊C4C23×C3714yes—
1881C2×C4⋊C4C23×C3712yes—
1882C2×C4⋊C4C23×C3712yes—
1883C2×C4⋊C4C23×C3711yescharacteristic
1884C2×C4⋊C4C23×C3714yes—
1885C2×C4⋊C4C23×C3712yes—
1886C2×C4⋊C4C23×C3712yes—
1887C2×C4⋊C4C23×C3711yescharacteristic
1888C2×C4⋊C4C23×C3714yes—
1889C2×C4⋊C4C23×C3714yes—
1890C2×C4⋊C4C23×C3714yes—
1891C2×C4⋊C4C23×C3712yes—
1892C2×C4⋊C4C23×C3712yes—
1893C2×C4⋊C4C23×C3714yes—
1894C2×C4⋊C4C23×C3714yes—
1895C2×C22⋊C4C23×C3711yescharacteristic
1896C2×C22⋊C4C23×C3714yes—
1897C2×C22⋊C4C23×C3711yescharacteristic
1898C2×C22⋊C4C23×C3712yes—
1899C2×C22⋊C4C23×C3714yes—
1900C2×C22⋊C4C23×C3712yes—
1901C2×C22⋊C4C23×C3712yes—
1902C2×C22⋊C4C23×C3712yes—
1903C2×C22⋊C4C23×C3714yes—
1904C2×C22⋊C4C23×C3714yes—
1905C2×C22⋊C4C23×C3714yes—
1906C2×C22⋊C4C23×C3714yes—
1907C2×C22⋊C4C23×C3712yes—
1908C2×C22⋊C4C23×C3712yes—
1909C2×C22⋊C4C23×C3712yes—
1910C2×C22⋊C4C23×C3714yes—
1911C2×C22⋊C4C23×C3714yes—
1912C2×C22⋊C4C23×C3714yes—
1913C2×C42C23×C3711yescharacteristic
1914C2×C42C23×C3714yes—
1915C2×C42C23×C3712yes—
1916C24C24×C3712yes—
1917C24C24×C3714yes—
1918C24C24×C3711yescharacteristic
1919C24C24×C3711yescharacteristic
1920C24C24×C3712yes—
1921C24C24×C3712yes—
1922#41—28no—
1923#41—24no—
1924#41—24no—
1925#41—28no—
1926#41—42no—
1927#41—42no—
1928#41—48no—
1929#41—48no—
1930#41—44no—
1931#41—48no—
1932#41—44no—
1933#41—48no—
1934#41—44no—
1935#41—44no—
1936#41—48no—
1937#41—44no—
1938#41—44no—
1939#41—42no—
1940#41—44no—
1941#41—42no—
1942#41—44no—
1943C2×Q8—44no—
1944C2×Q8—42no—
1945C2×Q8—42no—
1946C2×Q8—44no—
1947C2×Q8—42no—
1948C2×Q8—44no—
1949C2×Q8C24×C3711yescharacteristic
1950C2×Q8C24×C3712yes—
1951C2×Q8C24×C3712yes—
1952C2×Q8C24×C3711yescharacteristic
1953C2×Q8C24×C3712yes—
1954C2×Q8C24×C3714yes—
1955C2×Q8C24×C3711yescharacteristic
1956C2×Q8C24×C3712yes—
1957C2×Q8C24×C3714yes—
1958C2×Q8C24×C3711yescharacteristic
1959C2×Q8C24×C3712yes—
1960C2×Q8C24×C3712yes—
1961C2×Q8C24×C3714yes—
1962C2×D4—24no—
1963C2×D4—28no—
1964C2×D4—42no—
1965C2×D4—42no—
1966C2×D4—44no—
1967C2×D4—48no—
1968C2×D4—44no—
1969C2×D4—44no—
1970C2×D4—44no—
1971C2×D4—44no—
1972C2×D4—48no—
1973C2×D4—48no—
1974C2×D4C24×C3712yes—
1975C2×D4C24×C3714yes—
1976C2×D4C24×C3712yes—
1977C2×D4C24×C3712yes—
1978C2×D4C24×C3714yes—
1979C2×D4C24×C3712yes—
1980C2×D4C24×C3714yes—
1981C2×D4C24×C3714yes—
1982C2×D4C24×C3712yes—
1983C2×D4C24×C3712yes—
1984C2×D4C24×C3711yescharacteristic
1985C2×D4C24×C3712yes—
1986C2×D4C24×C3712yes—
1987C2×D4C24×C3714yes—
1988C2×D4C24×C3712yes—
1989C2×D4C24×C3714yes—
1990C2×D4C24×C3714yes—
1991C2×D4C24×C3714yes—
1992C2×D4C24×C3712yes—
1993C2×D4C24×C3712yes—
1994C2×D4C24×C3714yes—
1995C2×D4C24×C3712yes—
1996C2×D4C24×C3714yes—
1997C2×D4C24×C3712yes—
1998C2×D4C24×C3714yes—
1999C2×D4C24×C3712yes—
2000C2×D4C24×C3711yescharacteristic
2001C2×D4C24×C3712yes—
2002C2×D4C24×C3714yes—
2003C2×D4C24×C3711yescharacteristic
2004C2×D4C24×C3712yes—
2005C2×D4C24×C3714yes—
2006C2×D4C24×C3714yes—
2007C2×D4C24×C3714yes—
2008C2×D4C24×C3712yes—
2009C2×D4C24×C3712yes—
2010C2×D4C24×C3711yescharacteristic
2011C22×C4—42no—
2012C22×C4—42no—
2013C22×C4—44no—
2014C22×C4—44no—
2015C22×C4—44no—
2016C22×C4—48no—
2017C22×C4—44no—
2018C22×C4C24×C3714yes—
2019C22×C4C24×C3711yescharacteristic
2020C22×C4C24×C3711yescharacteristic
2021C22×C4C24×C3712yes—
2022C22×C4C24×C3712yes—
2023C22×C4C24×C3714yes—
2024C22×C4C24×C3712yes—
2025C22×C4C24×C3712yes—
2026C22×C4C24×C3712yes—
2027C22×C4C24×C3711yescharacteristic
2028C22×C4C24×C3711yescharacteristic
2029C22×C4C24×C3712yes—
2030C22×C4C24×C3711yescharacteristic
2031C22×C4C24×C3714yes—
2032C22×C4C24×C3712yes—
2033C22×C4C24×C3714yes—
2034C22×C4C24×C3712yes—
2035C22×C4C24×C3714yes—
2036C22×C4C24×C3714yes—
2037C22×C4C24×C3714yes—
2038C22×C4C24×C3711yescharacteristic
2039C22×C4C24×C3711yescharacteristic
2040C22×C4C24×C3712yes—
2041C22×C4C24×C3712yes—
2042C22×C4C24×C3711yescharacteristic
2043C22×C4C24×C3712yes—
2044C22×C4C24×C3714yes—
2045C22×C4C24×C3712yes—
2046C22×C4C24×C3712yes—
2047C22×C4C24×C3714yes—
2048C22×C4C24×C3712yes—
2049C22×C4C24×C3714yes—
2050C22×C4C24×C3712yes—
2051C22×C4C24×C3714yes—
2052C22×C4C24×C3714yes—
2053C22×C4C24×C3712yes—
2054C22×C4C24×C3714yes—
2055C22×C4C24×C3714yes—
2056C22×C4C24×C3712yes—
2057C22×C4C24×C3711yescharacteristic
2058C22×C4C24×C3712yes—
2059C22×C4C24×C3712yes—
2060C22×C4C24×C3714yes—
2061C4⋊C4C24×C3712yes—
2062C4⋊C4C24×C3712yes—
2063C4⋊C4C24×C3714yes—
2064C4⋊C4C24×C3714yes—
2065C4⋊C4C24×C3712yes—
2066C4⋊C4C24×C3712yes—
2067C4⋊C4C24×C3714yes—
2068C4⋊C4C24×C3714yes—
2069C4⋊C4C24×C3714yes—
2070C4⋊C4C24×C3714yes—
2071C4⋊C4C24×C3712yes—
2072C4⋊C4C24×C3714yes—
2073C4⋊C4C24×C3712yes—
2074C4⋊C4C24×C3712yes—
2075C4⋊C4C24×C3711yescharacteristic
2076C4⋊C4C24×C3714yes—
2077C4⋊C4C24×C3711yescharacteristic
2078C4⋊C4C24×C3714yes—
2079C4⋊C4C24×C3712yes—
2080C4⋊C4C24×C3712yes—
2081C4⋊C4C24×C3714yes—
2082C4⋊C4C24×C3714yes—
2083C4⋊C4C24×C3712yes—
2084C4⋊C4C24×C3712yes—
2085C4⋊C4C24×C3714yes—
2086C4⋊C4C24×C3712yes—
2087C4⋊C4C24×C3712yes—
2088C4⋊C4C24×C3714yes—
2089C4⋊C4C24×C3714yes—
2090C4⋊C4C24×C3714yes—
2091C4⋊C4C24×C3714yes—
2092C4⋊C4C24×C3714yes—
2093C4⋊C4C24×C3714yes—
2094C4⋊C4C24×C3714yes—
2095C4⋊C4C24×C3714yes—
2096C4⋊C4C24×C3712yes—
2097C4⋊C4C24×C3714yes—
2098C4⋊C4C24×C3712yes—
2099C4⋊C4C24×C3712yes—
2100C4⋊C4C24×C3714yes—
2101C4⋊C4C24×C3714yes—
2102C4⋊C4C24×C3714yes—
2103C4⋊C4C24×C3714yes—
2104C4⋊C4C24×C3714yes—
2105C4⋊C4C24×C3714yes—
2106C4⋊C4C24×C3711yescharacteristic
2107C4⋊C4C24×C3711yescharacteristic
2108C4⋊C4C24×C3712yes—
2109C4⋊C4C24×C3714yes—
2110C4⋊C4C24×C3712yes—
2111C4⋊C4C24×C3712yes—
2112C4⋊C4C24×C3712yes—
2113C4⋊C4C24×C3714yes—
2114C4⋊C4C24×C3714yes—
2115C4⋊C4C24×C3714yes—
2116C4⋊C4C24×C3712yes—
2117C4⋊C4C24×C3714yes—
2118C4⋊C4C24×C3712yes—
2119C22⋊C4C24×C3712yes—
2120C22⋊C4C24×C3712yes—
2121C22⋊C4C24×C3712yes—
2122C22⋊C4C24×C3714yes—
2123C22⋊C4C24×C3714yes—
2124C22⋊C4C24×C3714yes—
2125C22⋊C4C24×C3714yes—
2126C22⋊C4C24×C3712yes—
2127C22⋊C4C24×C3714yes—
2128C22⋊C4C24×C3712yes—
2129C22⋊C4C24×C3712yes—
2130C22⋊C4C24×C3714yes—
2131C22⋊C4C24×C3714yes—
2132C22⋊C4C24×C3712yes—
2133C22⋊C4C24×C3712yes—
2134C22⋊C4C24×C3714yes—
2135C22⋊C4C24×C3714yes—
2136C22⋊C4C24×C3714yes—
2137C22⋊C4C24×C3714yes—
2138C22⋊C4C24×C3712yes—
2139C22⋊C4C24×C3714yes—
2140C22⋊C4C24×C3712yes—
2141C22⋊C4C24×C3714yes—
2142C22⋊C4C24×C3714yes—
2143C22⋊C4C24×C3714yes—
2144C22⋊C4C24×C3714yes—
2145C22⋊C4C24×C3714yes—
2146C22⋊C4C24×C3714yes—
2147C22⋊C4C24×C3714yes—
2148C22⋊C4C24×C3712yes—
2149C22⋊C4C24×C3714yes—
2150C22⋊C4C24×C3712yes—
2151C22⋊C4C24×C3712yes—
2152C22⋊C4C24×C3712yes—
2153C22⋊C4C24×C3714yes—
2154C22⋊C4C24×C3712yes—
2155C22⋊C4C24×C3714yes—
2156C22⋊C4C24×C3714yes—
2157C22⋊C4C24×C3712yes—
2158C22⋊C4C24×C3714yes—
2159C22⋊C4C24×C3714yes—
2160C22⋊C4C24×C3714yes—
2161C22⋊C4C24×C3712yes—
2162C22⋊C4C24×C3714yes—
2163C22⋊C4C24×C3714yes—
2164C22⋊C4C24×C3712yes—
2165C22⋊C4C24×C3712yes—
2166C22⋊C4C24×C3714yes—
2167C22⋊C4C24×C3714yes—
2168C22⋊C4C24×C3714yes—
2169C22⋊C4C24×C3712yes—
2170C22⋊C4C24×C3712yes—
2171C22⋊C4C24×C3712yes—
2172C22⋊C4C24×C3714yes—
2173C22⋊C4C24×C3714yes—
2174C22⋊C4C24×C3712yes—
2175C22⋊C4C24×C3712yes—
2176C22⋊C4C24×C3714yes—
2177C42C24×C3712yes—
2178C42C24×C3714yes—
2179C42C24×C3712yes—
2180C42C24×C3712yes—
2181C42C24×C3712yes—
2182C42C24×C3712yes—
2183C42C24×C3712yes—
2184C42C24×C3714yes—
2185C42C24×C3714yes—
2186C42C24×C3714yes—
2187C42C24×C3714yes—
2188C42C24×C3714yes—
2189C42C24×C3714yes—
2190C42C24×C3714yes—
2191C23—24no—
2192C23—24no—
2193C23—28no—
2194C23—22no—
2195C23—22no—
2196C23—42no—
2197C23—41no—
2198C23—41no—
2199C23—42no—
2200C23—44no—
2201C23—42no—
2202C23—44no—
2203C23—41no—
2204C23—41no—
2205C23—42no—
2206C23—42no—
2207C23—42no—
2208C23—42no—
2209C23C25×C3712yes—
2210C23C25×C3711yescharacteristic
2211C23C25×C3712yes—
2212C23C25×C3714yes—
2213C23C25×C3712yes—
2214C23C25×C3711yescharacteristic
2215C23C25×C3712yes—
2216C23C25×C3712yes—
2217C23C25×C3711yescharacteristic
2218Q8—22no—
2219Q8—24no—
2220Q8—24no—
2221Q8—22no—
2222Q8—41no—
2223Q8—42no—
2224Q8—44no—
2225Q8—44no—
2226Q8—42no—
2227Q8—42no—
2228Q8—41no—
2229Q8—44no—
2230Q8—42no—
2231D4—28no—
2232D4—24no—
2233D4—24no—
2234D4—28no—
2235D4—24no—
2236D4—28no—
2237D4—24no—
2238D4—28no—
2239D4—24no—
2240D4—24no—
2241D4—22no—
2242D4—41no—
2243D4—42no—
2244D4—42no—
2245D4—44no—
2246D4—42no—
2247D4—44no—
2248D4—44no—
2249D4—44no—
2250D4—42no—
2251D4—42no—
2252D4—42no—
2253D4—42no—
2254D4—44no—
2255D4—44no—
2256D4—44no—
2257D4—42no—
2258D4—42no—
2259D4—41no—
2260D4—44no—
2261D4—44no—
2262D4—44no—
2263D4—42no—
2264D4—42no—
2265D4—42no—
2266D4—44no—
2267D4H(5,𝔽2)×C3714yes—
2268C2×C4—28no—
2269C2×C4—24no—
2270C2×C4—28no—
2271C2×C4—24no—
2272C2×C4—22no—
2273C2×C4—24no—
2274C2×C4—22no—
2275C2×C4—24no—
2276C2×C4—24no—
2277C2×C4—22no—
2278C2×C4—22no—
2279C2×C4—24no—
2280C2×C4—41no—
2281C2×C4—42no—
2282C2×C4—41no—
2283C2×C4—42no—
2284C2×C4—42no—
2285C2×C4—44no—
2286C2×C4—42no—
2287C2×C4—42no—
2288C2×C4—44no—
2289C2×C4—44no—
2290C2×C4—41no—
2291C2×C4—42no—
2292C2×C4—42no—
2293C2×C4—41no—
2294C2×C4—42no—
2295C2×C4—44no—
2296C2×C4—44no—
2297C2×C4—44no—
2298C2×C4—44no—
2299C2×C4—44no—
2300C2×C4—42no—
2301C2×C4—42no—
2302C2×C4—42no—
2303C2×C4—44no—
2304C2×C4—44no—
2305C2×C4—44no—
2306C2×C4—42no—
2307C2×C4—44no—
2308C2×C4—44no—
2309C2×C4—41no—
2310C2×C4—42no—
2311C2×C4C25×C3712yes—
2312C2×C4C25×C3712yes—
2313C2×C4C25×C3712yes—
2314C2×C4C25×C3714yes—
2315C2×C4C25×C3712yes—
2316C2×C4C25×C3714yes—
2317C2×C4C25×C3712yes—
2318C2×C4C25×C3712yes—
2319C2×C4C25×C3714yes—
2320C2×C4C25×C3712yes—
2321C2×C4C25×C3711yescharacteristic
2322C2×C4C25×C3714yes—
2323C2×C4C25×C3712yes—
2324C2×C4C25×C3712yes—
2325C2×C4C25×C3714yes—
2326C2×C4C25×C3712yes—
2327C2×C4C25×C3712yes—
2328C2×C4C25×C3711yescharacteristic
2329C2×C4C25×C3711yescharacteristic
2330C2×C4C25×C3711yescharacteristic
2331C22—21no—
2332C22—22no—
2333C22—22no—
2334C22—21no—
2335C22—22no—
2336C22—21no—
2337C22—22no—
2338C22—22no—
2339C22—21no—
2340C22—22no—
2341C22—24no—
2342C22—22no—
2343C22—22no—
2344C22—21no—
2345C22—24no—
2346C22—22no—
2347C22—22no—
2348C22—21no—
2349C22—21no—
2350C22—22no—
2351C22—24no—
2352C22—22no—
2353C22—22no—
2354C22—22no—
2355C22—21no—
2356C22—48no—
2357C22—82no—
2358C22—82no—
2359C22—88no—
2360C22—84no—
2361C22—162no—
2362C22C2×H(5,𝔽2)×C3714yes—
2363C22C37×#58512yes—
2364C22C26×C3711yescharacteristic
2365C4—22no—
2366C4—21no—
2367C4—22no—
2368C4—21no—
2369C4—22no—
2370C4—21no—
2371C4—22no—
2372C4—24no—
2373C4—22no—
2374C4—24no—
2375C4—22no—
2376C4—24no—
2377C4—22no—
2378C4—24no—
2379C4—22no—
2380C4—24no—
2381C4—22no—
2382C4—22no—
2383C4—22no—
2384C4C2×H(5,𝔽2)×C3712yes—
2385C2—22no—
2386C2—24no—
2387C2—42no—
2388C2—42no—
2389C2—42no—
2390C2—41no—
2391C2—44no—
2392C2—42no—
2393C2—41no—
2394C2C22×H(5,𝔽2)×C3711yescharacteristic
2395C2C2×C37×#58511yescharacteristic
2396C2C37×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C37C26
commutator, Frattini, cosocleC22C26×C37
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C37×#3562C2semidirect
2. C37×#3560C2semidirect
3. C37×#3559C2semidirect
4. C37×#3554C2semidirect
5. C37×#3552C2semidirect
6. C37×#3541C2semidirect
7. C37×#3539C2semidirect
8. C37×#3538C2semidirect
9. C37×#3536C2semidirect
10. C37×#3535C2semidirect
11. C37×#3535C2semidirect
12. C37×#3534C2semidirect
13. C37×#3534C2semidirect
14. C37×#3533C2semidirect
15. C37×#3521C2semidirect
16. C37×#3520C2semidirect
17. C37×#3515C2semidirect
18. C37×#3513C2semidirect
19. C37×#3513C2semidirect
20. C37×#3505C2semidirect
21. C37×#3492C2semidirect
22. C37×#3489C2semidirect
23. C37×#3489C2semidirect
24. C37×#3488C2semidirect
25. C37×#3485C2semidirect
26. D4×#41×C37C2semidirect
27. C2×C37×#547C2semidirect
28. C37×#3459C2semidirect
29. C2×C37×#539C2semidirect
30. C2×2−1+4×C37C22semidirect
31. C2×H(5,𝔽2)×C37C22semidirect
32. C22×#41×C37C22semidirect
33. C22×#41×C37C22semidirect
34. C22×#41×C37C22semidirect
35. C37×#563C22semidirect
36. C37×#563C22semidirect
37. C37×#563C22semidirect
38. C37×#563C22semidirect
39. C37×#562C22semidirect
40. C37×#562C22semidirect
41. C37×#562C22semidirect
42. C37×#562C22semidirect
43. C37×#562C22semidirect
44. C37×#560C22semidirect
45. C37×#560C22semidirect
46. C37×#560C22semidirect
47. C37×#559C22semidirect
48. C37×#559C22semidirect
49. C37×#557C22semidirect
50. C37×#556C22semidirect
51. C37×#556C22semidirect
52. C37×#554C22semidirect
53. C37×#554C22semidirect
54. C37×#554C22semidirect
55. C37×#554C22semidirect
56. C37×#554C22semidirect
57. C37×#554C22semidirect
58. C37×#553C22semidirect
59. C37×#553C22semidirect
60. C37×#553C22semidirect
61. C37×#553C22semidirect
62. C37×#553C22semidirect
63. C37×#553C22semidirect
64. C37×#553C22semidirect
65. C37×#553C22semidirect
66. C37×#553C22semidirect
67. C37×#553C22semidirect
68. C37×#553C22semidirect
69. C37×#552C22semidirect
70. C37×#552C22semidirect
71. C37×#552C22semidirect
72. C37×#552C22semidirect
73. C37×#552C22semidirect
74. C37×#552C22semidirect
75. C37×#552C22semidirect
76. C37×#552C22semidirect
77. C37×#551C22semidirect
78. C37×#551C22semidirect
79. C37×#551C22semidirect
80. C37×#551C22semidirect
81. C37×#551C22semidirect
82. C37×#551C22semidirect
83. C37×#551C22semidirect
84. C37×#551C22semidirect
85. C37×#551C22semidirect
86. C37×#550C22semidirect
87. C37×#550C22semidirect
88. D4×Q8×C37C22semidirect
89. D4×Q8×C37C22semidirect
90. D4×Q8×C37C22semidirect
91. D4×Q8×C37C22semidirect
92. C37×#548C22semidirect
93. C37×#548C22semidirect
94. C37×#548C22semidirect
95. C37×#548C22semidirect
96. C37×#548C22semidirect
97. C37×#548C22semidirect
98. C37×#547C22semidirect
99. C37×#547C22semidirect
100. C37×#547C22semidirect
101. C37×#547C22semidirect
102. C37×#547C22semidirect
103. C37×#547C22semidirect
104. C37×#547C22semidirect
105. C37×#547C22semidirect
106. C37×#547C22semidirect
107. C37×#547C22semidirect
108. C37×#547C22semidirect
109. C37×#547C22semidirect
110. C37×#547C22semidirect
111. C37×#547C22semidirect
112. C37×#547C22semidirect
113. C37×#547C22semidirect
114. C37×#547C22semidirect
115. C37×#546C22semidirect
116. C37×#546C22semidirect
117. C37×#546C22semidirect
118. C37×#546C22semidirect
119. C37×#546C22semidirect
120. C37×#546C22semidirect
121. C37×#546C22semidirect
122. C37×#546C22semidirect
123. C37×#546C22semidirect
124. C37×#546C22semidirect
125. C37×#546C22semidirect
126. C37×#546C22semidirect
127. C37×#546C22semidirect
128. C37×#546C22semidirect
129. C37×#546C22semidirect
130. C37×#546C22semidirect
131. C37×#546C22semidirect
132. D42×C37C22semidirect
133. D42×C37C22semidirect
134. D42×C37C22semidirect
135. C37×#544C22semidirect
136. C37×#544C22semidirect
137. C37×#544C22semidirect
138. C37×#543C22semidirect
139. C37×#543C22semidirect
140. C37×#542C22semidirect
141. C37×#542C22semidirect
142. C37×#542C22semidirect
143. C37×#542C22semidirect
144. C37×#542C22semidirect
145. C37×#542C22semidirect
146. C37×#541C22semidirect
147. C37×#541C22semidirect
148. C37×#541C22semidirect
149. C37×#540C22semidirect
150. C37×#540C22semidirect
151. C37×#540C22semidirect
152. C37×#540C22semidirect
153. C37×#540C22semidirect
154. C37×#539C22semidirect
155. C37×#539C22semidirect
156. C37×#539C22semidirect
157. C37×#539C22semidirect
158. C37×#539C22semidirect
159. C37×#539C22semidirect
160. C37×#539C22semidirect
161. C37×#539C22semidirect
162. C37×#539C22semidirect
163. C37×#539C22semidirect
164. C37×#539C22semidirect
165. C37×#539C22semidirect
166. C37×#539C22semidirect
167. C37×#539C22semidirect
168. C37×#539C22semidirect
169. C37×#539C22semidirect
170. C37×#539C22semidirect
171. C37×#539C22semidirect
172. C37×#539C22semidirect
173. C37×#539C22semidirect
174. C37×#539C22semidirect
175. C37×#539C22semidirect
176. C37×#538C22semidirect
177. C37×#538C22semidirect
178. C37×#538C22semidirect
179. C37×#538C22semidirect
180. C37×#538C22semidirect
181. C37×#538C22semidirect
182. C37×#538C22semidirect
183. C37×#538C22semidirect
184. C37×#538C22semidirect
185. C37×#538C22semidirect
186. C37×#538C22semidirect
187. C37×#537C22semidirect
188. C37×#537C22semidirect
189. C37×#537C22semidirect
190. C37×#537C22semidirect
191. C37×#537C22semidirect
192. C37×#537C22semidirect
193. C37×#537C22semidirect
194. C37×#536C22semidirect
195. C37×#536C22semidirect
196. C37×#536C22semidirect
197. C37×#536C22semidirect
198. C37×#536C22semidirect
199. C37×#536C22semidirect
200. C37×#535C22semidirect
201. C37×#535C22semidirect
202. C37×#534C22semidirect
203. C37×#534C22semidirect
204. C37×#534C22semidirect
205. C37×#534C22semidirect
206. C37×#534C22semidirect
207. C37×#533C22semidirect
208. C37×#532C22semidirect
209. C37×#532C22semidirect
210. C2×C4⋊Q8×C37C22semidirect
211. C37×#529C22semidirect
212. C37×#529C22semidirect
213. C37×#529C22semidirect
214. C37×#529C22semidirect
215. C37×#529C22semidirect
216. C37×#529C22semidirect
217. C37×#529C22semidirect
218. C2×#126×C37C22semidirect
219. C2×#125×C37C22semidirect
221. C37×#525C22semidirect
222. C37×#525C22semidirect
223. C37×#525C22semidirect
224. C37×#525C22semidirect
225. C37×#525C22semidirect
226. C37×#525C22semidirect
227. C37×#525C22semidirect
228. C37×#525C22semidirect
229. C37×#525C22semidirect
230. C37×#525C22semidirect
231. C37×#525C22semidirect
232. C37×#525C22semidirect
233. C2×#123×C37C22semidirect
234. C2×#123×C37C22semidirect
235. C2×#123×C37C22semidirect
236. C2×#123×C37C22semidirect
237. C2×#123×C37C22semidirect
238. C2×C22⋊Q8×C37C22semidirect
239. C2×C22⋊Q8×C37C22semidirect
240. C2×C22⋊Q8×C37C22semidirect
241. C2×C22⋊Q8×C37C22semidirect
242. C2×C22⋊Q8×C37C22semidirect
243. C2×C22⋊Q8×C37C22semidirect
245. C2×#121×C37C22semidirect
246. C2×#121×C37C22semidirect
247. C37×#520C22semidirect
248. C37×#520C22semidirect
249. C37×#520C22semidirect
250. C37×#520C22semidirect
251. C37×#518C22semidirect
252. C37×#518C22semidirect
253. C4×#41×C37C22semidirect
254. C2×C4×D4×C37C22semidirect
255. C2×C4×D4×C37C22semidirect
256. C2×C4×D4×C37C22semidirect
257. C2×C4×D4×C37C22semidirect
258. C22×C4⋊C4×C37C22semidirect
1132. #62898C37direct (N × H)
1187. #3562C2×C37semidirect
1188. #3560C2×C37semidirect
1189. #3559C2×C37semidirect
1190. #3554C2×C37semidirect
1191. #3552C2×C37semidirect
1192. #3541C2×C37semidirect
1193. #3539C2×C37semidirect
1194. #3538C2×C37semidirect
1195. #3536C2×C37semidirect
1196. #3535C2×C37semidirect
1197. #3535C2×C37semidirect
1198. #3534C2×C37semidirect
1199. #3534C2×C37semidirect
1200. #3533C2×C37semidirect
1201. #3521C2×C37semidirect
1202. #3520C2×C37semidirect
1203. #3515C2×C37semidirect
1204. #3513C2×C37semidirect
1205. #3513C2×C37semidirect
1206. #3505C2×C37semidirect
1207. #3492C2×C37semidirect
1208. #3489C2×C37semidirect
1209. #3489C2×C37semidirect
1210. #3488C2×C37semidirect
1211. #3485C2×C37semidirect
1212. D4×#41C2×C37semidirect
1213. C2×#547C2×C37semidirect
1214. #3459C2×C37semidirect
1215. C2×#539C2×C37semidirect
1228. C2×2−1+4C22×C37semidirect
1229. C2×H(5,𝔽2)C22×C37semidirect
1230. C22×#41C22×C37semidirect
1231. C22×#41C22×C37semidirect
1232. C22×#41C22×C37semidirect
1233. #563C22×C37semidirect
1234. #563C22×C37semidirect
1235. #563C22×C37semidirect
1236. #563C22×C37semidirect
1237. #562C22×C37semidirect
1238. #562C22×C37semidirect
1239. #562C22×C37semidirect
1240. #562C22×C37semidirect
1241. #562C22×C37semidirect
1242. #560C22×C37semidirect
1243. #560C22×C37semidirect
1244. #560C22×C37semidirect
1245. #559C22×C37semidirect
1246. #559C22×C37semidirect
1247. #557C22×C37semidirect
1248. #556C22×C37semidirect
1249. #556C22×C37semidirect
1250. #554C22×C37semidirect
1251. #554C22×C37semidirect
1252. #554C22×C37semidirect
1253. #554C22×C37semidirect
1254. #554C22×C37semidirect
1255. #554C22×C37semidirect
1256. #553C22×C37semidirect
1257. #553C22×C37semidirect
1258. #553C22×C37semidirect
1259. #553C22×C37semidirect
1260. #553C22×C37semidirect
1261. #553C22×C37semidirect
1262. #553C22×C37semidirect
1263. #553C22×C37semidirect
1264. #553C22×C37semidirect
1265. #553C22×C37semidirect
1266. #553C22×C37semidirect
1267. #552C22×C37semidirect
1268. #552C22×C37semidirect
1269. #552C22×C37semidirect
1270. #552C22×C37semidirect
1271. #552C22×C37semidirect
1272. #552C22×C37semidirect
1273. #552C22×C37semidirect
1274. #552C22×C37semidirect
1275. #551C22×C37semidirect
1276. #551C22×C37semidirect
1277. #551C22×C37semidirect
1278. #551C22×C37semidirect
1279. #551C22×C37semidirect
1280. #551C22×C37semidirect
1281. #551C22×C37semidirect
1282. #551C22×C37semidirect
1283. #551C22×C37semidirect
1284. #550C22×C37semidirect
1285. #550C22×C37semidirect
1286. D4×Q8C22×C37semidirect
1287. D4×Q8C22×C37semidirect
1288. D4×Q8C22×C37semidirect
1289. D4×Q8C22×C37semidirect
1290. #548C22×C37semidirect
1291. #548C22×C37semidirect
1292. #548C22×C37semidirect
1293. #548C22×C37semidirect
1294. #548C22×C37semidirect
1295. #548C22×C37semidirect
1296. #547C22×C37semidirect
1297. #547C22×C37semidirect
1298. #547C22×C37semidirect
1299. #547C22×C37semidirect
1300. #547C22×C37semidirect
1301. #547C22×C37semidirect
1302. #547C22×C37semidirect
1303. #547C22×C37semidirect
1304. #547C22×C37semidirect
1305. #547C22×C37semidirect
1306. #547C22×C37semidirect
1307. #547C22×C37semidirect
1308. #547C22×C37semidirect
1309. #547C22×C37semidirect
1310. #547C22×C37semidirect
1311. #547C22×C37semidirect
1312. #547C22×C37semidirect
1313. #546C22×C37semidirect
1314. #546C22×C37semidirect
1315. #546C22×C37semidirect
1316. #546C22×C37semidirect
1317. #546C22×C37semidirect
1318. #546C22×C37semidirect
1319. #546C22×C37semidirect
1320. #546C22×C37semidirect
1321. #546C22×C37semidirect
1322. #546C22×C37semidirect
1323. #546C22×C37semidirect
1324. #546C22×C37semidirect
1325. #546C22×C37semidirect
1326. #546C22×C37semidirect
1327. #546C22×C37semidirect
1328. #546C22×C37semidirect
1329. #546C22×C37semidirect
1330. D42C22×C37semidirect
1331. D42C22×C37semidirect
1332. D42C22×C37semidirect
1333. #544C22×C37semidirect
1334. #544C22×C37semidirect
1335. #544C22×C37semidirect
1336. #543C22×C37semidirect
1337. #543C22×C37semidirect
1338. #542C22×C37semidirect
1339. #542C22×C37semidirect
1340. #542C22×C37semidirect
1341. #542C22×C37semidirect
1342. #542C22×C37semidirect
1343. #542C22×C37semidirect
1344. #541C22×C37semidirect
1345. #541C22×C37semidirect
1346. #541C22×C37semidirect
1347. #540C22×C37semidirect
1348. #540C22×C37semidirect
1349. #540C22×C37semidirect
1350. #540C22×C37semidirect
1351. #540C22×C37semidirect
1352. #539C22×C37semidirect
1353. #539C22×C37semidirect
1354. #539C22×C37semidirect
1355. #539C22×C37semidirect
1356. #539C22×C37semidirect
1357. #539C22×C37semidirect
1358. #539C22×C37semidirect
1359. #539C22×C37semidirect
1360. #539C22×C37semidirect
1361. #539C22×C37semidirect
1362. #539C22×C37semidirect
1363. #539C22×C37semidirect
1364. #539C22×C37semidirect
1365. #539C22×C37semidirect
1366. #539C22×C37semidirect
1367. #539C22×C37semidirect
1368. #539C22×C37semidirect
1369. #539C22×C37semidirect
1370. #539C22×C37semidirect
1371. #539C22×C37semidirect
1372. #539C22×C37semidirect
1373. #539C22×C37semidirect
1374. #538C22×C37semidirect
1375. #538C22×C37semidirect
1376. #538C22×C37semidirect
1377. #538C22×C37semidirect
1378. #538C22×C37semidirect
1379. #538C22×C37semidirect
1380. #538C22×C37semidirect
1381. #538C22×C37semidirect
1382. #538C22×C37semidirect
1383. #538C22×C37semidirect
1384. #538C22×C37semidirect
1385. #537C22×C37semidirect
1386. #537C22×C37semidirect
1387. #537C22×C37semidirect
1388. #537C22×C37semidirect
1389. #537C22×C37semidirect
1390. #537C22×C37semidirect
1391. #537C22×C37semidirect
1392. #536C22×C37semidirect
1393. #536C22×C37semidirect
1394. #536C22×C37semidirect
1395. #536C22×C37semidirect
1396. #536C22×C37semidirect
1397. #536C22×C37semidirect
1398. #535C22×C37semidirect
1399. #535C22×C37semidirect
1400. #534C22×C37semidirect
1401. #534C22×C37semidirect
1402. #534C22×C37semidirect
1403. #534C22×C37semidirect
1404. #534C22×C37semidirect
1405. #533C22×C37semidirect
1406. #532C22×C37semidirect
1407. #532C22×C37semidirect
1408. C2×C4⋊Q8C22×C37semidirect
1409. #529C22×C37semidirect
1410. #529C22×C37semidirect
1411. #529C22×C37semidirect
1412. #529C22×C37semidirect
1413. #529C22×C37semidirect
1414. #529C22×C37semidirect
1415. #529C22×C37semidirect
1416. C2×#126C22×C37semidirect
1417. C2×#125C22×C37semidirect
1419. #525C22×C37semidirect
1420. #525C22×C37semidirect
1421. #525C22×C37semidirect
1422. #525C22×C37semidirect
1423. #525C22×C37semidirect
1424. #525C22×C37semidirect
1425. #525C22×C37semidirect
1426. #525C22×C37semidirect
1427. #525C22×C37semidirect
1428. #525C22×C37semidirect
1429. #525C22×C37semidirect
1430. #525C22×C37semidirect
1431. C2×#123C22×C37semidirect
1432. C2×#123C22×C37semidirect
1433. C2×#123C22×C37semidirect
1434. C2×#123C22×C37semidirect
1435. C2×#123C22×C37semidirect
1436. C2×C22⋊Q8C22×C37semidirect
1437. C2×C22⋊Q8C22×C37semidirect
1438. C2×C22⋊Q8C22×C37semidirect
1439. C2×C22⋊Q8C22×C37semidirect
1440. C2×C22⋊Q8C22×C37semidirect
1441. C2×C22⋊Q8C22×C37semidirect
1443. C2×#121C22×C37semidirect
1444. C2×#121C22×C37semidirect
1445. #520C22×C37semidirect
1446. #520C22×C37semidirect
1447. #520C22×C37semidirect
1448. #520C22×C37semidirect
1449. #518C22×C37semidirect
1450. #518C22×C37semidirect
1451. C4×#41C22×C37semidirect
1452. C2×C4×D4C22×C37semidirect
1453. C2×C4×D4C22×C37semidirect
1454. C2×C4×D4C22×C37semidirect
1455. C2×C4×D4C22×C37semidirect
1456. C22×C4⋊C4C22×C37semidirect
1457. C37#62898direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C37×#35622
C37×#35602
C37×#35592
C37×#35542
C37×#35522
C37×#35412
C37×#35392
C37×#35382
C37×#35362
C37×#35352
C37×#35342
C37×#35332
C37×#35212
C37×#35202
C37×#35152
C37×#35132
C37×#35052
C37×#34922
C37×#34892
C37×#34882
C37×#34852
D4×#41×C372
C2×C37×#5472
C37×#34592
C2×C37×#5392
#6289837