Finite Group Databasebeta

← C37×#62927 #22684180

Subgroups — C37×#62927 #22684180

Order 9472.

7096 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3560C214yesmaximal, complemented
2C37×#3559C214yesmaximal, complemented
3C37×#3551C214yesmaximal, complemented
4C37×#3547C214yesmaximal, complemented
5C37×#3542C214yesmaximal, complemented
6C37×#3541C214yesmaximal, complemented
7C37×#3539C214yesmaximal, complemented
8C37×#3538C214yesmaximal, complemented
9C37×#3534C214yesmaximal, complemented
10C37×#3520C214yesmaximal, complemented
11C37×#3512C212yesmaximal, complemented
12C37×#3505C214yesmaximal, complemented
13C37×#3497C211yesmaximal, characteristic, complemented
14C37×#3494C214yesmaximal, complemented
15C37×#3493C211yesmaximal, characteristic, complemented
16C37×#3492C211yesmaximal, characteristic, complemented
17C37×#3489C212yesmaximal, complemented
18C37×#3489C212yesmaximal, complemented
19C2×C37×#552C211yesmaximal, characteristic, complemented
20D4×#41×C37C212yesmaximal, complemented
21C37×#3461C211yesmaximal, characteristic, complemented
22C37×#3449C211yesmaximal, characteristic, complemented
23C2×C37×#537C211yesmaximal, characteristic, complemented
24C2×2−1+4×C37C2212yescomplemented
25C22×#41×C37C2212yescomplemented
26C22×#41×C37C2212yescomplemented
27C37×#563C2218yescomplemented
28C37×#563C2218yescomplemented
29C37×#562C2218yescomplemented
30C37×#562C2218yescomplemented
31C37×#560C2218yescomplemented
32C37×#560C2218yescomplemented
33C37×#556C2214yescomplemented
34C37×#555C2214yescomplemented
35C37×#555C2218yescomplemented
36C37×#554C2214yescomplemented
37C37×#554C2218yescomplemented
38C37×#553C2214yescomplemented
39C37×#553C2214yescomplemented
40C37×#553C2218yescomplemented
41C37×#553C2218yescomplemented
42C37×#553C2214yescomplemented
43C37×#553C2218yescomplemented
44C37×#553C2218yescomplemented
45C37×#553C2218yescomplemented
46C37×#553C2214yescomplemented
47C37×#552C2214yescomplemented
48C37×#552C2214yescomplemented
49C37×#552C2214yescomplemented
50C37×#552C2214yescomplemented
51C37×#552C2214yescomplemented
52C37×#552C2214yescomplemented
53C37×#552C2214yescomplemented
54C37×#552C2214yescomplemented
55C37×#551C2218yescomplemented
56C37×#551C2218yescomplemented
57C37×#551C2218yescomplemented
58C37×#551C2218yescomplemented
59C37×#550C2212yescomplemented
60C37×#550C2214yescomplemented
61D4×Q8×C37C2212yescomplemented
62D4×Q8×C37C2214yescomplemented
63D4×Q8×C37C2214yescomplemented
64D4×Q8×C37C2214yescomplemented
65C37×#548C2212yes—
66C37×#548C2212yescomplemented
67C37×#548C2214yescomplemented
68C37×#548C2214yescomplemented
69C37×#548C2214yescomplemented
70C37×#548C2214yescomplemented
71C37×#547C2212yescomplemented
72C37×#547C2214yescomplemented
73C37×#547C2218yescomplemented
74C37×#547C2214yescomplemented
75C37×#547C2214yescomplemented
76C37×#547C2218yescomplemented
77C37×#547C2214yescomplemented
78C37×#546C2212yes—
79C37×#546C2214yescomplemented
80C37×#546C2212yescomplemented
81C37×#546C2214yescomplemented
82C37×#546C2218yescomplemented
83C37×#546C2214yescomplemented
84C37×#546C2218yescomplemented
85C37×#546C2214yescomplemented
86C37×#546C2218yescomplemented
87D42×C37C2214yes—
88D42×C37C2212yescomplemented
89C37×#544C2211yescharacteristic, complemented
90C37×#544C2214yescomplemented
91C37×#544C2218yescomplemented
92C37×#542C2214yescomplemented
93C37×#542C2214yescomplemented
94C37×#542C2214yescomplemented
95C37×#542C2218yescomplemented
96C37×#541C2214yescomplemented
97C37×#541C2214yescomplemented
98C37×#540C2214yescomplemented
99C37×#540C2214yescomplemented
100C37×#540C2214yescomplemented
101C37×#540C2218yescomplemented
102C37×#540C2218yescomplemented
103C37×#539C2214yescomplemented
104C37×#539C2214yescomplemented
105C37×#539C2218yescomplemented
106C37×#539C2218yescomplemented
107C37×#539C2218yescomplemented
108C37×#539C2218yescomplemented
109C37×#538C2214yescomplemented
110C37×#538C2218yescomplemented
111C37×#538C2218yescomplemented
112C37×#538C2218yescomplemented
113C37×#537C2211yescharacteristic
114C37×#537C2212yescomplemented
115C37×#537C2211yescharacteristic, complemented
116C37×#537C2214yescomplemented
117C37×#537C2214yescomplemented
118C37×#537C2214yescomplemented
119C37×#537C2212yescomplemented
120C37×#537C2211yescharacteristic, complemented
121C37×#537C2214yescomplemented
122C37×#537C2214yescomplemented
123C37×#537C2214yescomplemented
124C37×#536C2214yescomplemented
125C37×#536C2212yescomplemented
126C37×#536C2214yescomplemented
127C37×#536C2214yescomplemented
128C37×#535C2214yescomplemented
129C37×#535C2214yescomplemented
130C37×#534C2214yescomplemented
131C37×#534C2218yescomplemented
132C37×#533C2214yescomplemented
133C37×#532C2214yescomplemented
134C37×#532C2212yescomplemented
135C37×#532C2214yescomplemented
136C37×#532C2214yescomplemented
137C37×#529C2214yescomplemented
138C37×#529C2214yescomplemented
139C37×#529C2214yescomplemented
140C37×#529C2214yescomplemented
141C37×#529C2214yescomplemented
142C2×#126×C37C2212yescomplemented
143C2×#125×C37C2211yescharacteristic, complemented
144C2×#125×C37C2212yescomplemented
145C37×#525C2214yes—
146C37×#525C2214yescomplemented
147C37×#525C2214yescomplemented
148C37×#525C2212yescomplemented
149C37×#525C2212yescomplemented
150C37×#525C2214yescomplemented
151C37×#525C2214yescomplemented
152C37×#525C2214yescomplemented
153C37×#525C2214yescomplemented
154C2×#123×C37C2212yes—
155C2×C22⋊Q8×C37C2214yescomplemented
156C2×C22⋊Q8×C37C2211yescharacteristic, complemented
157C2×C22⋊Q8×C37C2211yescharacteristic, complemented
158C2×C22⋊Q8×C37C2214yescomplemented
159C2×C22⋊Q8×C37C2214yescomplemented
160C2×#121×C37C2214yescomplemented
161C2×#121×C37C2214yescomplemented
162C37×#520C2212yescomplemented
163C37×#520C2212yescomplemented
164C37×#520C2214yescomplemented
165C37×#518C2214yescomplemented
166C4×#41×C37C2212yescomplemented
167C2×C4×Q8×C37C2211yescharacteristic, complemented
168C2×C4×D4×C37C2211yescharacteristic
169C2×C4×D4×C37C2214yescomplemented
170C2×#117×C37C2211yescharacteristic, complemented
171C2×#117×C37C2212yescomplemented
172C22×C4⋊C4×C37C2211yescharacteristic, complemented
1732−1+4×C37—48no—
174C2×#41×C37—48no—
175C2×#41×C37—48no—
176C2×#41×C37C2312yes—
177C2×#41×C37C2312yes—
178C2×#41×C37C2312yes—
179C2×#41×C37C2314yes—
180C2×#41×C37C2314yes—
181C2×#41×C37C2312yes—
182C2×#41×C37C2312yes—
183C2×#41×C37C2314yes—
184C2×#41×C37C2314yes—
185C2×#41×C37C2314yes—
186C2×#41×C37C2314yes—
187C2×#41×C37C2318yes—
188C2×#41×C37C2314yes—
189C2×#41×C37C2312yes—
190C2×#41×C37C2312yes—
191C22×Q8×C37C2311yescharacteristic
192C22×Q8×C37C2312yes—
193C22×Q8×C37C2314yes—
194C22×Q8×C37C2314yes—
195C22×Q8×C37C2312yes—
196C22×D4×C37C2314yes—
197C22×D4×C37C2314yes—
198C22×D4×C37C2312yes—
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2314yes—
201C22×D4×C37C2314yes—
202C22×D4×C37C2312yes—
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2312yes—
206C23×C4×C37C2314yes—
207C23×C4×C37C2314yes—
208C4⋊Q8×C37C2314yes—
209C4⋊Q8×C37C2312yes—
210C4⋊Q8×C37C2314yes—
211C4⋊Q8×C37C2314yes—
212C4⋊Q8×C37C2314yes—
213C4⋊Q8×C37C2314yes—
214C4⋊Q8×C37C2318yes—
215C4⋊Q8×C37C2318yes—
216#127×C37C2314yes—
217#127×C37C2314yes—
218#127×C37C2314yes—
219#127×C37C2312yes—
220#126×C37C2318yes—
221#126×C37C2318yes—
222#126×C37C2318yes—
223#126×C37C2318yes—
224#126×C37C2318yes—
225#126×C37C2318yes—
226#126×C37C2318yes—
227#126×C37C2318yes—
228#126×C37C2318yes—
229#126×C37C2318yes—
230#126×C37C2318yes—
231#125×C37C2314yes—
232#125×C37C2318yes—
233#125×C37C2314yes—
234#125×C37C2318yes—
235#125×C37C2314yes—
236#125×C37C2314yes—
237#125×C37C2314yes—
238#125×C37C2318yes—
239#125×C37C2318yes—
240#125×C37C2318yes—
241#125×C37C2318yes—
242#124×C37C2312yes—
243#124×C37C2312yes—
244#124×C37C2314yes—
245#124×C37C2314yes—
246#124×C37C2314yes—
247#124×C37C2318yes—
248#124×C37C2318yes—
249#124×C37C2314yes—
250#124×C37C2314yes—
251#124×C37C2318yes—
252#124×C37C2318yes—
253#124×C37C2318yes—
254#123×C37C2318yes—
255#123×C37C2318yes—
256#123×C37C2314yes—
257#123×C37C2314yes—
258#123×C37C2314yes—
259#123×C37C2318yes—
260#123×C37C2318yes—
261#123×C37C2318yes—
262#123×C37C2314yes—
263#123×C37C2314yes—
264#123×C37C2318yes—
265#123×C37C2318yes—
266#123×C37C2314yes—
267#123×C37C2318yes—
268#123×C37C2318yes—
269#123×C37C2318yes—
270#123×C37C2318yes—
271#123×C37C2318yes—
272#123×C37C2318yes—
273#123×C37C2318yes—
274#123×C37C2318yes—
275#123×C37C2318yes—
276#123×C37C2318yes—
277#123×C37C2318yes—
278#123×C37C2318yes—
279C22⋊Q8×C37C2312yes—
280C22⋊Q8×C37C2314yes—
281C22⋊Q8×C37C2312yes—
282C22⋊Q8×C37C2314yes—
283C22⋊Q8×C37C2314yes—
284C22⋊Q8×C37C2314yes—
285C22⋊Q8×C37C2314yes—
286C22⋊Q8×C37C2314yes—
287C22⋊Q8×C37C2314yes—
288C22⋊Q8×C37C2314yes—
289C22⋊Q8×C37C2314yes—
290C22⋊Q8×C37C2318yes—
291C22⋊Q8×C37C2314yes—
292C22⋊Q8×C37C2314yes—
293C22⋊Q8×C37C2318yes—
294C22⋊Q8×C37C2318yes—
295C22⋊Q8×C37C2318yes—
296C22⋊Q8×C37C2318yes—
297C22⋊Q8×C37C2318yes—
298C22⋊Q8×C37C2314yes—
299C22⋊Q8×C37C2314yes—
300C22⋊Q8×C37C2314yes—
301C22⋊Q8×C37C2312yes—
302C22⋊Q8×C37C2312yes—
303C22⋊Q8×C37C2314yes—
304C22⋊Q8×C37C2314yes—
305C22⋊Q8×C37C2314yes—
306C22⋊Q8×C37C2314yes—
307C22⋊Q8×C37C2314yes—
308C22⋊Q8×C37C2318yes—
309C22⋊Q8×C37C2318yes—
310C22⋊Q8×C37C2318yes—
311C22⋊Q8×C37C2318yes—
312C22⋊Q8×C37C2318yes—
313C22⋊Q8×C37C2318yes—
314#121×C37C2314yes—
315#121×C37C2314yes—
316#121×C37C2314yes—
317#121×C37C2314yes—
318#121×C37C2318yes—
319#121×C37C2314yes—
320#121×C37C2314yes—
321#121×C37C2318yes—
322#121×C37C2314yes—
323#121×C37C2314yes—
324#121×C37C2318yes—
325#121×C37C2318yes—
326#121×C37C2314yes—
327#121×C37C2314yes—
328#121×C37C2312yes—
329#121×C37C2312yes—
330#121×C37C2314yes—
331#121×C37C2314yes—
332#121×C37C2314yes—
333#121×C37C2314yes—
334#121×C37C2312yes—
335#121×C37C2312yes—
336#121×C37C2314yes—
337#121×C37C2314yes—
338#121×C37C2314yes—
339#121×C37C2314yes—
340#121×C37C2318yes—
341#121×C37C2314yes—
342#121×C37C2314yes—
343#121×C37C2314yes—
344#121×C37C2314yes—
345#121×C37C2314yes—
346#121×C37C2318yes—
347#121×C37C2318yes—
348#121×C37C2318yes—
349#121×C37C2318yes—
350#121×C37C2318yes—
351#121×C37C2318yes—
352#121×C37C2318yes—
353#121×C37C2318yes—
354#121×C37C2318yes—
355#121×C37C2318yes—
356#121×C37C2318yes—
357#120×C37C2314yes—
358#120×C37C2314yes—
359#120×C37C2314yes—
360#120×C37C2318yes—
361#120×C37C2318yes—
362#120×C37C2318yes—
363#120×C37C2318yes—
364#120×C37C2314yes—
365#120×C37C2314yes—
366#120×C37C2314yes—
367C4×Q8×C37C2314yes—
368C4×Q8×C37C2314yes—
369C4×Q8×C37C2314yes—
370C4×Q8×C37C2314yes—
371C4×Q8×C37C2314yes—
372C4×Q8×C37C2312yes—
373C4×Q8×C37C2312yes—
374C4×Q8×C37C2314yes—
375C4×D4×C37C2314yes—
376C4×D4×C37C2314yes—
377C4×D4×C37C2318yes—
378C4×D4×C37C2318yes—
379C4×D4×C37C2318yes—
380C4×D4×C37C2314yes—
381C4×D4×C37C2314yes—
382C4×D4×C37C2314yes—
383C4×D4×C37C2312yes—
384C4×D4×C37C2314yes—
385C4×D4×C37C2314yes—
386C4×D4×C37C2314yes—
387C4×D4×C37C2314yes—
388C4×D4×C37C2314yes—
389C4×D4×C37C2318yes—
390C4×D4×C37C2314yes—
391C4×D4×C37C2312yes—
392C4×D4×C37C2318yes—
393C4×D4×C37C2318yes—
394C4×D4×C37C2318yes—
395C4×D4×C37C2318yes—
396C4×D4×C37C2314yes—
397C4×D4×C37C2312yes—
398C4×D4×C37C2314yes—
399C4×D4×C37C2318yes—
400C4×D4×C37C2318yes—
401C4×D4×C37C2314yes—
402C4×D4×C37C2312yes—
403C4×D4×C37C2314yes—
404C4×D4×C37C2318yes—
405C4×D4×C37C2314yes—
406C4×D4×C37C2314yes—
407C4×D4×C37C2314yes—
408C4×D4×C37C2314yes—
409C4×D4×C37C2312yes—
410C4×D4×C37C2314yes—
411C4×D4×C37C2312yes—
412#117×C37C2312yes—
413#117×C37C2314yes—
414#117×C37C2314yes—
415#117×C37C2318yes—
416#117×C37C2314yes—
417#117×C37C2314yes—
418#117×C37C2314yes—
419#117×C37C2314yes—
420#117×C37C2318yes—
421#117×C37C2318yes—
422#117×C37C2318yes—
423#117×C37C2314yes—
424#117×C37C2314yes—
425#117×C37C2314yes—
426#117×C37C2314yes—
427C2×C4⋊C4×C37C2311yescharacteristic
428C2×C4⋊C4×C37C2311yescharacteristic
429C2×C4⋊C4×C37C2314yes—
430C2×C4⋊C4×C37C2314yes—
431C2×C4⋊C4×C37C2314yes—
432C2×C4⋊C4×C37C2318yes—
433C2×C4⋊C4×C37C2314yes—
434C2×C4⋊C4×C37C2312yes—
435C2×C4⋊C4×C37C2312yes—
436C2×C4⋊C4×C37C2318yes—
437C2×C4⋊C4×C37C2312yes—
438C2×C4⋊C4×C37C2312yes—
439C2×C4⋊C4×C37C2311yescharacteristic
440C2×C4⋊C4×C37C2312yes—
441C2×C4⋊C4×C37C2312yes—
442C2×C4⋊C4×C37C2311yescharacteristic
443C2×C4⋊C4×C37C2314yes—
444C2×C4⋊C4×C37C2314yes—
445C2×C22⋊C4×C37C2318yes—
446C2×C22⋊C4×C37C2312yes—
447C2×C22⋊C4×C37C2312yes—
448C2×C22⋊C4×C37C2318yes—
449C2×C22⋊C4×C37C2318yes—
450C2×C22⋊C4×C37C2312yes—
451C2×C22⋊C4×C37C2311yescharacteristic
452C2×C22⋊C4×C37C2314yes—
453C2×C22⋊C4×C37C2314yes—
454C2×C22⋊C4×C37C2311yescharacteristic
455C2×C42×C37C2312yes—
456C2×C42×C37C2311yescharacteristic
457C2×C42×C37C2312yes—
458C2×C42×C37C2314yes—
459C24×C37C2411yescharacteristic
460C24×C37C2411yescharacteristic
461C24×C37C2414yes—
462C24×C37C2414yes—
463#41×C37—28no—
464#41×C37—28no—
465#41×C37—28no—
466#41×C37—48no—
467#41×C37—48no—
468#41×C37—48no—
469#41×C37—48no—
470#41×C37—48no—
471#41×C37—416no—
472#41×C37—44no—
473#41×C37—44no—
474#41×C37—44no—
475#41×C37—44no—
476#41×C37—48no—
477#41×C37—48no—
478C2×Q8×C37—24no—
479C2×Q8×C37—44no—
480C2×Q8×C37—44no—
481C2×Q8×C37—48no—
482C2×Q8×C37—48no—
483C2×Q8×C37C2414yes—
484C2×Q8×C37C2412yes—
485C2×Q8×C37C2412yes—
486C2×Q8×C37C2412yes—
487C2×Q8×C37C2414yes—
488C2×Q8×C37C2414yes—
489C2×Q8×C37C2418yes—
490C2×Q8×C37C2414yes—
491C2×D4×C37—44no—
492C2×D4×C37—44no—
493C2×D4×C37—48no—
494C2×D4×C37—42no—
495C2×D4×C37—48no—
496C2×D4×C37—48no—
497C2×D4×C37—48no—
498C2×D4×C37C2414yes—
499C2×D4×C37C2412yes—
500C2×D4×C37C2414yes—
501C2×D4×C37C2414yes—
502C2×D4×C37C2414yes—
503C2×D4×C37C2412yes—
504C2×D4×C37C2412yes—
505C2×D4×C37C2412yes—
506C2×D4×C37C2414yes—
507C2×D4×C37C2418yes—
508C2×D4×C37C2414yes—
509C2×D4×C37C2414yes—
510C2×D4×C37C2414yes—
511C2×D4×C37C2414yes—
512C2×D4×C37C2414yes—
513C2×D4×C37C2412yes—
514C2×D4×C37C2418yes—
515C2×D4×C37C2414yes—
516C2×D4×C37C2414yes—
517C2×D4×C37C2414yes—
518C2×D4×C37C2418yes—
519C2×D4×C37C2414yes—
520C2×D4×C37C2414yes—
521C2×D4×C37C2414yes—
522C2×D4×C37C2414yes—
523C2×D4×C37C2414yes—
524C22×C4×C37—24no—
525C22×C4×C37—24no—
526C22×C4×C37—48no—
527C22×C4×C37—48no—
528C22×C4×C37—44no—
529C22×C4×C37C2411yescharacteristic
530C22×C4×C37C2412yes—
531C22×C4×C37C2414yes—
532C22×C4×C37C2414yes—
533C22×C4×C37C2411yescharacteristic
534C22×C4×C37C2412yes—
535C22×C4×C37C2412yes—
536C22×C4×C37C2414yes—
537C22×C4×C37C2414yes—
538C22×C4×C37C2412yes—
539C22×C4×C37C2412yes—
540C22×C4×C37C2411yescharacteristic
541C22×C4×C37C2412yes—
542C22×C4×C37C2412yes—
543C22×C4×C37C2414yes—
544C22×C4×C37C2411yescharacteristic
545C22×C4×C37C2414yes—
546C22×C4×C37C2414yes—
547C22×C4×C37C2412yes—
548C22×C4×C37C2418yes—
549C22×C4×C37C2418yes—
550C22×C4×C37C2414yes—
551C22×C4×C37C2418yes—
552C22×C4×C37C2418yes—
553C22×C4×C37C2414yes—
554C22×C4×C37C2414yes—
555C22×C4×C37C2414yes—
556C22×C4×C37C2414yes—
557C22×C4×C37C2414yes—
558C22×C4×C37C2411yescharacteristic
559C4⋊C4×C37C2414yes—
560C4⋊C4×C37C2414yes—
561C4⋊C4×C37C2414yes—
562C4⋊C4×C37C2412yes—
563C4⋊C4×C37C2414yes—
564C4⋊C4×C37C2418yes—
565C4⋊C4×C37C2414yes—
566C4⋊C4×C37C2412yes—
567C4⋊C4×C37C2412yes—
568C4⋊C4×C37C2418yes—
569C4⋊C4×C37C2418yes—
570C4⋊C4×C37C2414yes—
571C4⋊C4×C37C2414yes—
572C4⋊C4×C37C2414yes—
573C4⋊C4×C37C2414yes—
574C4⋊C4×C37C2418yes—
575C4⋊C4×C37C2418yes—
576C4⋊C4×C37C2418yes—
577C4⋊C4×C37C2414yes—
578C4⋊C4×C37C2412yes—
579C4⋊C4×C37C2414yes—
580C4⋊C4×C37C2414yes—
581C4⋊C4×C37C2414yes—
582C4⋊C4×C37C2418yes—
583C4⋊C4×C37C2418yes—
584C4⋊C4×C37C2418yes—
585C4⋊C4×C37C2418yes—
586C4⋊C4×C37C2414yes—
587C4⋊C4×C37C2418yes—
588C4⋊C4×C37C2414yes—
589C4⋊C4×C37C2414yes—
590C4⋊C4×C37C2414yes—
591C4⋊C4×C37C2414yes—
592C4⋊C4×C37C2414yes—
593C22⋊C4×C37C2411yescharacteristic
594C22⋊C4×C37C2414yes—
595C22⋊C4×C37C2414yes—
596C22⋊C4×C37C2412yes—
597C22⋊C4×C37C2418yes—
598C22⋊C4×C37C2414yes—
599C22⋊C4×C37C2418yes—
600C22⋊C4×C37C2411yescharacteristic
601C22⋊C4×C37C2411yescharacteristic
602C22⋊C4×C37C2411yescharacteristic
603C22⋊C4×C37C2414yes—
604C22⋊C4×C37C2418yes—
605C22⋊C4×C37C2414yes—
606C22⋊C4×C37C2418yes—
607C22⋊C4×C37C2418yes—
608C22⋊C4×C37C2418yes—
609C22⋊C4×C37C2418yes—
610C22⋊C4×C37C2414yes—
611C22⋊C4×C37C2414yes—
612C22⋊C4×C37C2412yes—
613C22⋊C4×C37C2414yes—
614C22⋊C4×C37C2418yes—
615C22⋊C4×C37C2418yes—
616C22⋊C4×C37C2414yes—
617C22⋊C4×C37C2414yes—
618C22⋊C4×C37C2414yes—
619C22⋊C4×C37C2414yes—
620C22⋊C4×C37C2414yes—
621C22⋊C4×C37C2414yes—
622C22⋊C4×C37C2418yes—
623C22⋊C4×C37C2418yes—
624C22⋊C4×C37C2418yes—
625C22⋊C4×C37C2414yes—
626C22⋊C4×C37C2418yes—
627C22⋊C4×C37C2414yes—
628C22⋊C4×C37C2414yes—
629C42×C37C2412yes—
630C42×C37C2414yes—
631C42×C37C2414yes—
632C42×C37C2414yes—
633C42×C37C2414yes—
634C42×C37C2414yes—
635C42×C37C2412yes—
636C42×C37C2414yes—
637C42×C37C2414yes—
638C42×C37C2418yes—
639C42×C37C2418yes—
640C23×C37—22no—
641C23×C37—22no—
642C23×C37—22no—
643C23×C37—28no—
644C23×C37—41no—
645C23×C37—44no—
646C23×C37—44no—
647C23×C37—41no—
648C23×C37—44no—
649C23×C37—41no—
650C23×C37—44no—
651C23×C37—44no—
652C23×C37C2512yes—
653C23×C37C2514yes—
654C23×C37C2511yescharacteristic
655C23×C37C2514yes—
656C23×C37C2514yes—
657C23×C37C2511yescharacteristic
658C23×C37C2511yescharacteristic
659Q8×C37—28no—
660Q8×C37—24no—
661Q8×C37—24no—
662Q8×C37—24no—
663Q8×C37—48no—
664Q8×C37—44no—
665Q8×C37—44no—
666Q8×C37—44no—
667D4×C37—28no—
668D4×C37—28no—
669D4×C37—28no—
670D4×C37—24no—
671D4×C37—28no—
672D4×C37—24no—
673D4×C37—24no—
674D4×C37—24no—
675D4×C37—48no—
676D4×C37—44no—
677D4×C37—44no—
678D4×C37—42no—
679D4×C37—44no—
680D4×C37—44no—
681D4×C37—44no—
682D4×C37—44no—
683D4×C37—44no—
684D4×C37—44no—
685D4×C37—44no—
686D4×C37—44no—
687D4×C37—44no—
688D4×C37—48no—
689D4×C37—44no—
690D4×C37—44no—
691D4×C37—44no—
692D4×C37—48no—
693C2×C4×C37—22no—
694C2×C4×C37—22no—
695C2×C4×C37—24no—
696C2×C4×C37—28no—
697C2×C4×C37—24no—
698C2×C4×C37—24no—
699C2×C4×C37—24no—
700C2×C4×C37—24no—
701C2×C4×C37—28no—
702C2×C4×C37—28no—
703C2×C4×C37—28no—
704C2×C4×C37—42no—
705C2×C4×C37—44no—
706C2×C4×C37—42no—
707C2×C4×C37—44no—
708C2×C4×C37—44no—
709C2×C4×C37—44no—
710C2×C4×C37—44no—
711C2×C4×C37—44no—
712C2×C4×C37—44no—
713C2×C4×C37—44no—
714C2×C4×C37—41no—
715C2×C4×C37—42no—
716C2×C4×C37—48no—
717C2×C4×C37—41no—
718C2×C4×C37—44no—
719C2×C4×C37—48no—
720C2×C4×C37—48no—
721C2×C4×C37—48no—
722C2×C4×C37H(5,𝔽2)14yes—
723C2×C4×C37C2511yescharacteristic
724C2×C4×C37C2511yescharacteristic
725C2×C4×C37C2514yes—
726C2×C4×C37C2514yes—
727C2×C4×C37C2514yes—
728C2×C4×C37C2514yes—
729C2×C4×C37C2512yes—
730C2×C4×C37C2511yescharacteristic
731C2×C4×C37C2511yescharacteristic
732C2×C4×C37C2514yes—
733C2×C4×C37C2514yes—
734C2×C4×C37C2514yes—
735C2×C4×C37C2514yes—
736C2×C4×C37C2514yes—
737C2×C4×C37C2512yes—
738C2×C4×C37C2512yes—
739#62927C3711yesmaximal, characteristic, direct product factor, Sylow
740C22×C37—21no—
741C22×C37—21no—
742C22×C37—21no—
743C22×C37—21no—
744C22×C37—22no—
745C22×C37—21no—
746C22×C37—24no—
747C22×C37—24no—
748C22×C37—24no—
749C22×C37—21no—
750C22×C37—24no—
751C22×C37—24no—
752C22×C37—22no—
753C22×C37—24no—
754C22×C37—24no—
755C22×C37—24no—
756C22×C37—21no—
757C22×C37—24no—
758C22×C37—22no—
759C22×C37—44no—
760C22×C37—88no—
761C22×C37—82no—
762C22×C37—88no—
763C22×C37C2×H(5,𝔽2)12yes—
764C22×C37#58512yes—
765C22×C37C2611yescharacteristic
766C4×C37—21no—
767C4×C37—22no—
768C4×C37—21no—
769C4×C37—24no—
770C4×C37—24no—
771C4×C37—24no—
772C4×C37—24no—
773C4×C37—24no—
774C4×C37—24no—
775C4×C37—22no—
776C4×C37—24no—
777C4×C37—21no—
778C4×C37—24no—
779C4×C37—24no—
780C4×C37—21no—
781C4×C37C2×H(5,𝔽2)14yes—
782#3560C2×C3714yescomplemented
783#3559C2×C3714yescomplemented
784#3551C2×C3714yescomplemented
785#3547C2×C3714yescomplemented
786#3542C2×C3714yescomplemented
787#3541C2×C3714yescomplemented
788#3539C2×C3714yescomplemented
789#3538C2×C3714yescomplemented
790#3534C2×C3714yescomplemented
791#3520C2×C3714yescomplemented
792#3512C2×C3712yescomplemented
793#3505C2×C3714yescomplemented
794#3497C2×C3711yescharacteristic, complemented
795#3494C2×C3714yescomplemented
796#3493C2×C3711yescharacteristic, complemented
797#3492C2×C3711yescharacteristic, complemented
798#3489C2×C3712yescomplemented
799#3489C2×C3712yescomplemented
800C2×#552C2×C3711yescharacteristic, complemented
801D4×#41C2×C3712yescomplemented
802#3461C2×C3711yescharacteristic, complemented
803#3449C2×C3711yescharacteristic, complemented
804C2×#537C2×C3711yescharacteristic, complemented
805C2×C37—22no—
806C2×C37—22no—
807C2×C37—41no—
808C2×C37—44no—
809C2×C37—44no—
810C2×C37—44no—
811C2×C37—42no—
812C2×C37C22×H(5,𝔽2)11yescharacteristic
813C2×C37C2×#58511yescharacteristic
814C2×C372−1+611yescharacteristic
815C2×2−1+4C22×C3712yescomplemented
816C22×#41C22×C3712yescomplemented
817C22×#41C22×C3712yescomplemented
818#563C22×C3718yescomplemented
819#563C22×C3718yescomplemented
820#562C22×C3718yescomplemented
821#562C22×C3718yescomplemented
822#560C22×C3718yescomplemented
823#560C22×C3718yescomplemented
824#556C22×C3714yescomplemented
825#555C22×C3714yescomplemented
826#555C22×C3718yescomplemented
827#554C22×C3714yescomplemented
828#554C22×C3718yescomplemented
829#553C22×C3714yescomplemented
830#553C22×C3714yescomplemented
831#553C22×C3718yescomplemented
832#553C22×C3718yescomplemented
833#553C22×C3714yescomplemented
834#553C22×C3718yescomplemented
835#553C22×C3718yescomplemented
836#553C22×C3718yescomplemented
837#553C22×C3714yescomplemented
838#552C22×C3714yescomplemented
839#552C22×C3714yescomplemented
840#552C22×C3714yescomplemented
841#552C22×C3714yescomplemented
842#552C22×C3714yescomplemented
843#552C22×C3714yescomplemented
844#552C22×C3714yescomplemented
845#552C22×C3714yescomplemented
846#551C22×C3718yescomplemented
847#551C22×C3718yescomplemented
848#551C22×C3718yescomplemented
849#551C22×C3718yescomplemented
850#550C22×C3712yescomplemented
851#550C22×C3714yescomplemented
852D4×Q8C22×C3712yescomplemented
853D4×Q8C22×C3714yescomplemented
854D4×Q8C22×C3714yescomplemented
855D4×Q8C22×C3714yescomplemented
856#548C22×C3712yes—
857#548C22×C3712yescomplemented
858#548C22×C3714yescomplemented
859#548C22×C3714yescomplemented
860#548C22×C3714yescomplemented
861#548C22×C3714yescomplemented
862#547C22×C3712yescomplemented
863#547C22×C3714yescomplemented
864#547C22×C3718yescomplemented
865#547C22×C3714yescomplemented
866#547C22×C3714yescomplemented
867#547C22×C3718yescomplemented
868#547C22×C3714yescomplemented
869#546C22×C3712yes—
870#546C22×C3714yescomplemented
871#546C22×C3712yescomplemented
872#546C22×C3714yescomplemented
873#546C22×C3718yescomplemented
874#546C22×C3714yescomplemented
875#546C22×C3718yescomplemented
876#546C22×C3714yescomplemented
877#546C22×C3718yescomplemented
878D42C22×C3714yes—
879D42C22×C3712yescomplemented
880#544C22×C3711yescharacteristic, complemented
881#544C22×C3714yescomplemented
882#544C22×C3718yescomplemented
883#542C22×C3714yescomplemented
884#542C22×C3714yescomplemented
885#542C22×C3714yescomplemented
886#542C22×C3718yescomplemented
887#541C22×C3714yescomplemented
888#541C22×C3714yescomplemented
889#540C22×C3714yescomplemented
890#540C22×C3714yescomplemented
891#540C22×C3714yescomplemented
892#540C22×C3718yescomplemented
893#540C22×C3718yescomplemented
894#539C22×C3714yescomplemented
895#539C22×C3714yescomplemented
896#539C22×C3718yescomplemented
897#539C22×C3718yescomplemented
898#539C22×C3718yescomplemented
899#539C22×C3718yescomplemented
900#538C22×C3714yescomplemented
901#538C22×C3718yescomplemented
902#538C22×C3718yescomplemented
903#538C22×C3718yescomplemented
904#537C22×C3711yescharacteristic
905#537C22×C3712yescomplemented
906#537C22×C3711yescharacteristic, complemented
907#537C22×C3714yescomplemented
908#537C22×C3714yescomplemented
909#537C22×C3714yescomplemented
910#537C22×C3712yescomplemented
911#537C22×C3711yescharacteristic, complemented
912#537C22×C3714yescomplemented
913#537C22×C3714yescomplemented
914#537C22×C3714yescomplemented
915#536C22×C3714yescomplemented
916#536C22×C3712yescomplemented
917#536C22×C3714yescomplemented
918#536C22×C3714yescomplemented
919#535C22×C3714yescomplemented
920#535C22×C3714yescomplemented
921#534C22×C3714yescomplemented
922#534C22×C3718yescomplemented
923#533C22×C3714yescomplemented
924#532C22×C3714yescomplemented
925#532C22×C3712yescomplemented
926#532C22×C3714yescomplemented
927#532C22×C3714yescomplemented
928#529C22×C3714yescomplemented
929#529C22×C3714yescomplemented
930#529C22×C3714yescomplemented
931#529C22×C3714yescomplemented
932#529C22×C3714yescomplemented
933C2×#126C22×C3712yescomplemented
934C2×#125C22×C3711yescharacteristic, complemented
935C2×#125C22×C3712yescomplemented
936#525C22×C3714yes—
937#525C22×C3714yescomplemented
938#525C22×C3714yescomplemented
939#525C22×C3712yescomplemented
940#525C22×C3712yescomplemented
941#525C22×C3714yescomplemented
942#525C22×C3714yescomplemented
943#525C22×C3714yescomplemented
944#525C22×C3714yescomplemented
945C2×#123C22×C3712yes—
946C2×C22⋊Q8C22×C3714yescomplemented
947C2×C22⋊Q8C22×C3711yescharacteristic, complemented
948C2×C22⋊Q8C22×C3711yescharacteristic, complemented
949C2×C22⋊Q8C22×C3714yescomplemented
950C2×C22⋊Q8C22×C3714yescomplemented
951C2×#121C22×C3714yescomplemented
952C2×#121C22×C3714yescomplemented
953#520C22×C3712yescomplemented
954#520C22×C3712yescomplemented
955#520C22×C3714yescomplemented
956#518C22×C3714yescomplemented
957C4×#41C22×C3712yescomplemented
958C2×C4×Q8C22×C3711yescharacteristic, complemented
959C2×C4×D4C22×C3711yescharacteristic
960C2×C4×D4C22×C3714yescomplemented
961C2×#117C22×C3711yescharacteristic, complemented
962C2×#117C22×C3712yescomplemented
963C22×C4⋊C4C22×C3711yescharacteristic, complemented
964C37#6292711yescharacteristic, direct product factor, Sylow
9652−1+4—48no—
966C2×#41—48no—
967C2×#41—48no—
968C2×#41C23×C3712yes—
969C2×#41C23×C3712yes—
970C2×#41C23×C3712yes—
971C2×#41C23×C3714yes—
972C2×#41C23×C3714yes—
973C2×#41C23×C3712yes—
974C2×#41C23×C3712yes—
975C2×#41C23×C3714yes—
976C2×#41C23×C3714yes—
977C2×#41C23×C3714yes—
978C2×#41C23×C3714yes—
979C2×#41C23×C3718yes—
980C2×#41C23×C3714yes—
981C2×#41C23×C3712yes—
982C2×#41C23×C3712yes—
983C22×Q8C23×C3711yescharacteristic
984C22×Q8C23×C3712yes—
985C22×Q8C23×C3714yes—
986C22×Q8C23×C3714yes—
987C22×Q8C23×C3712yes—
988C22×D4C23×C3711yescharacteristic
989C22×D4C23×C3714yes—
990C22×D4C23×C3714yes—
991C22×D4C23×C3714yes—
992C22×D4C23×C3712yes—
993C22×D4C23×C3714yes—
994C22×D4C23×C3712yes—
995C23×C4C23×C3711yescharacteristic
996C23×C4C23×C3711yescharacteristic
997C23×C4C23×C3712yes—
998C23×C4C23×C3714yes—
999C23×C4C23×C3714yes—
1000C4⋊Q8C23×C3714yes—
1001C4⋊Q8C23×C3712yes—
1002C4⋊Q8C23×C3714yes—
1003C4⋊Q8C23×C3714yes—
1004C4⋊Q8C23×C3714yes—
1005C4⋊Q8C23×C3714yes—
1006C4⋊Q8C23×C3718yes—
1007C4⋊Q8C23×C3718yes—
1008#127C23×C3714yes—
1009#127C23×C3714yes—
1010#127C23×C3714yes—
1011#127C23×C3712yes—
1012#126C23×C3718yes—
1013#126C23×C3718yes—
1014#126C23×C3718yes—
1015#126C23×C3718yes—
1016#126C23×C3718yes—
1017#126C23×C3718yes—
1018#126C23×C3718yes—
1019#126C23×C3718yes—
1020#126C23×C3718yes—
1021#126C23×C3718yes—
1022#126C23×C3718yes—
1023#125C23×C3714yes—
1024#125C23×C3718yes—
1025#125C23×C3714yes—
1026#125C23×C3718yes—
1027#125C23×C3714yes—
1028#125C23×C3714yes—
1029#125C23×C3714yes—
1030#125C23×C3718yes—
1031#125C23×C3718yes—
1032#125C23×C3718yes—
1033#125C23×C3718yes—
1034#124C23×C3712yes—
1035#124C23×C3712yes—
1036#124C23×C3714yes—
1037#124C23×C3714yes—
1038#124C23×C3714yes—
1039#124C23×C3718yes—
1040#124C23×C3718yes—
1041#124C23×C3714yes—
1042#124C23×C3714yes—
1043#124C23×C3718yes—
1044#124C23×C3718yes—
1045#124C23×C3718yes—
1046#123C23×C3718yes—
1047#123C23×C3718yes—
1048#123C23×C3714yes—
1049#123C23×C3714yes—
1050#123C23×C3714yes—
1051#123C23×C3718yes—
1052#123C23×C3718yes—
1053#123C23×C3718yes—
1054#123C23×C3714yes—
1055#123C23×C3714yes—
1056#123C23×C3718yes—
1057#123C23×C3718yes—
1058#123C23×C3714yes—
1059#123C23×C3718yes—
1060#123C23×C3718yes—
1061#123C23×C3718yes—
1062#123C23×C3718yes—
1063#123C23×C3718yes—
1064#123C23×C3718yes—
1065#123C23×C3718yes—
1066#123C23×C3718yes—
1067#123C23×C3718yes—
1068#123C23×C3718yes—
1069#123C23×C3718yes—
1070#123C23×C3718yes—
1071C22⋊Q8C23×C3712yes—
1072C22⋊Q8C23×C3714yes—
1073C22⋊Q8C23×C3712yes—
1074C22⋊Q8C23×C3714yes—
1075C22⋊Q8C23×C3714yes—
1076C22⋊Q8C23×C3714yes—
1077C22⋊Q8C23×C3714yes—
1078C22⋊Q8C23×C3714yes—
1079C22⋊Q8C23×C3714yes—
1080C22⋊Q8C23×C3714yes—
1081C22⋊Q8C23×C3714yes—
1082C22⋊Q8C23×C3718yes—
1083C22⋊Q8C23×C3714yes—
1084C22⋊Q8C23×C3714yes—
1085C22⋊Q8C23×C3718yes—
1086C22⋊Q8C23×C3718yes—
1087C22⋊Q8C23×C3718yes—
1088C22⋊Q8C23×C3718yes—
1089C22⋊Q8C23×C3718yes—
1090C22⋊Q8C23×C3714yes—
1091C22⋊Q8C23×C3714yes—
1092C22⋊Q8C23×C3714yes—
1093C22⋊Q8C23×C3712yes—
1094C22⋊Q8C23×C3712yes—
1095C22⋊Q8C23×C3714yes—
1096C22⋊Q8C23×C3714yes—
1097C22⋊Q8C23×C3714yes—
1098C22⋊Q8C23×C3714yes—
1099C22⋊Q8C23×C3714yes—
1100C22⋊Q8C23×C3718yes—
1101C22⋊Q8C23×C3718yes—
1102C22⋊Q8C23×C3718yes—
1103C22⋊Q8C23×C3718yes—
1104C22⋊Q8C23×C3718yes—
1105C22⋊Q8C23×C3718yes—
1106#121C23×C3714yes—
1107#121C23×C3714yes—
1108#121C23×C3714yes—
1109#121C23×C3714yes—
1110#121C23×C3718yes—
1111#121C23×C3714yes—
1112#121C23×C3714yes—
1113#121C23×C3718yes—
1114#121C23×C3714yes—
1115#121C23×C3714yes—
1116#121C23×C3718yes—
1117#121C23×C3718yes—
1118#121C23×C3714yes—
1119#121C23×C3714yes—
1120#121C23×C3712yes—
1121#121C23×C3712yes—
1122#121C23×C3714yes—
1123#121C23×C3714yes—
1124#121C23×C3714yes—
1125#121C23×C3714yes—
1126#121C23×C3712yes—
1127#121C23×C3712yes—
1128#121C23×C3714yes—
1129#121C23×C3714yes—
1130#121C23×C3714yes—
1131#121C23×C3714yes—
1132#121C23×C3718yes—
1133#121C23×C3714yes—
1134#121C23×C3714yes—
1135#121C23×C3714yes—
1136#121C23×C3714yes—
1137#121C23×C3714yes—
1138#121C23×C3718yes—
1139#121C23×C3718yes—
1140#121C23×C3718yes—
1141#121C23×C3718yes—
1142#121C23×C3718yes—
1143#121C23×C3718yes—
1144#121C23×C3718yes—
1145#121C23×C3718yes—
1146#121C23×C3718yes—
1147#121C23×C3718yes—
1148#121C23×C3718yes—
1149#120C23×C3714yes—
1150#120C23×C3714yes—
1151#120C23×C3714yes—
1152#120C23×C3718yes—
1153#120C23×C3718yes—
1154#120C23×C3718yes—
1155#120C23×C3718yes—
1156#120C23×C3714yes—
1157#120C23×C3714yes—
1158#120C23×C3714yes—
1159C4×Q8C23×C3714yes—
1160C4×Q8C23×C3714yes—
1161C4×Q8C23×C3712yes—
1162C4×Q8C23×C3712yes—
1163C4×Q8C23×C3714yes—
1164C4×Q8C23×C3714yes—
1165C4×Q8C23×C3714yes—
1166C4×Q8C23×C3714yes—
1167C4×D4C23×C3712yes—
1168C4×D4C23×C3712yes—
1169C4×D4C23×C3712yes—
1170C4×D4C23×C3712yes—
1171C4×D4C23×C3714yes—
1172C4×D4C23×C3714yes—
1173C4×D4C23×C3714yes—
1174C4×D4C23×C3714yes—
1175C4×D4C23×C3714yes—
1176C4×D4C23×C3714yes—
1177C4×D4C23×C3714yes—
1178C4×D4C23×C3712yes—
1179C4×D4C23×C3714yes—
1180C4×D4C23×C3714yes—
1181C4×D4C23×C3712yes—
1182C4×D4C23×C3714yes—
1183C4×D4C23×C3718yes—
1184C4×D4C23×C3714yes—
1185C4×D4C23×C3718yes—
1186C4×D4C23×C3714yes—
1187C4×D4C23×C3714yes—
1188C4×D4C23×C3714yes—
1189C4×D4C23×C3718yes—
1190C4×D4C23×C3718yes—
1191C4×D4C23×C3718yes—
1192C4×D4C23×C3714yes—
1193C4×D4C23×C3714yes—
1194C4×D4C23×C3714yes—
1195C4×D4C23×C3714yes—
1196C4×D4C23×C3714yes—
1197C4×D4C23×C3714yes—
1198C4×D4C23×C3718yes—
1199C4×D4C23×C3718yes—
1200C4×D4C23×C3718yes—
1201C4×D4C23×C3718yes—
1202C4×D4C23×C3718yes—
1203C4×D4C23×C3718yes—
1204#117C23×C3714yes—
1205#117C23×C3714yes—
1206#117C23×C3714yes—
1207#117C23×C3714yes—
1208#117C23×C3714yes—
1209#117C23×C3714yes—
1210#117C23×C3712yes—
1211#117C23×C3714yes—
1212#117C23×C3714yes—
1213#117C23×C3714yes—
1214#117C23×C3714yes—
1215#117C23×C3718yes—
1216#117C23×C3718yes—
1217#117C23×C3718yes—
1218#117C23×C3718yes—
1219C2×C4⋊C4C23×C3711yescharacteristic
1220C2×C4⋊C4C23×C3711yescharacteristic
1221C2×C4⋊C4C23×C3714yes—
1222C2×C4⋊C4C23×C3712yes—
1223C2×C4⋊C4C23×C3714yes—
1224C2×C4⋊C4C23×C3711yescharacteristic
1225C2×C4⋊C4C23×C3712yes—
1226C2×C4⋊C4C23×C3712yes—
1227C2×C4⋊C4C23×C3711yescharacteristic
1228C2×C4⋊C4C23×C3714yes—
1229C2×C4⋊C4C23×C3712yes—
1230C2×C4⋊C4C23×C3714yes—
1231C2×C4⋊C4C23×C3714yes—
1232C2×C4⋊C4C23×C3714yes—
1233C2×C4⋊C4C23×C3718yes—
1234C2×C4⋊C4C23×C3712yes—
1235C2×C4⋊C4C23×C3718yes—
1236C2×C4⋊C4C23×C3712yes—
1237C2×C22⋊C4C23×C3711yescharacteristic
1238C2×C22⋊C4C23×C3712yes—
1239C2×C22⋊C4C23×C3712yes—
1240C2×C22⋊C4C23×C3711yescharacteristic
1241C2×C22⋊C4C23×C3714yes—
1242C2×C22⋊C4C23×C3714yes—
1243C2×C22⋊C4C23×C3718yes—
1244C2×C22⋊C4C23×C3718yes—
1245C2×C22⋊C4C23×C3712yes—
1246C2×C22⋊C4C23×C3718yes—
1247C2×C42C23×C3712yes—
1248C2×C42C23×C3712yes—
1249C2×C42C23×C3711yescharacteristic
1250C2×C42C23×C3714yes—
1251C24C24×C3711yescharacteristic
1252C24C24×C3711yescharacteristic
1253C24C24×C3714yes—
1254C24C24×C3714yes—
1255#41—28no—
1256#41—28no—
1257#41—28no—
1258#41—48no—
1259#41—48no—
1260#41—48no—
1261#41—48no—
1262#41—48no—
1263#41—416no—
1264#41—44no—
1265#41—44no—
1266#41—44no—
1267#41—44no—
1268#41—48no—
1269#41—48no—
1270C2×Q8—24no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×Q8—48no—
1274C2×Q8—48no—
1275C2×Q8C24×C3714yes—
1276C2×Q8C24×C3712yes—
1277C2×Q8C24×C3712yes—
1278C2×Q8C24×C3712yes—
1279C2×Q8C24×C3714yes—
1280C2×Q8C24×C3714yes—
1281C2×Q8C24×C3718yes—
1282C2×Q8C24×C3714yes—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—48no—
1286C2×D4—42no—
1287C2×D4—48no—
1288C2×D4—48no—
1289C2×D4—48no—
1290C2×D4C24×C3714yes—
1291C2×D4C24×C3712yes—
1292C2×D4C24×C3714yes—
1293C2×D4C24×C3714yes—
1294C2×D4C24×C3714yes—
1295C2×D4C24×C3712yes—
1296C2×D4C24×C3712yes—
1297C2×D4C24×C3712yes—
1298C2×D4C24×C3714yes—
1299C2×D4C24×C3718yes—
1300C2×D4C24×C3714yes—
1301C2×D4C24×C3714yes—
1302C2×D4C24×C3714yes—
1303C2×D4C24×C3714yes—
1304C2×D4C24×C3714yes—
1305C2×D4C24×C3712yes—
1306C2×D4C24×C3718yes—
1307C2×D4C24×C3714yes—
1308C2×D4C24×C3714yes—
1309C2×D4C24×C3714yes—
1310C2×D4C24×C3718yes—
1311C2×D4C24×C3714yes—
1312C2×D4C24×C3714yes—
1313C2×D4C24×C3714yes—
1314C2×D4C24×C3714yes—
1315C2×D4C24×C3714yes—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—48no—
1319C22×C4—48no—
1320C22×C4—44no—
1321C22×C4C24×C3711yescharacteristic
1322C22×C4C24×C3712yes—
1323C22×C4C24×C3714yes—
1324C22×C4C24×C3714yes—
1325C22×C4C24×C3711yescharacteristic
1326C22×C4C24×C3712yes—
1327C22×C4C24×C3712yes—
1328C22×C4C24×C3714yes—
1329C22×C4C24×C3714yes—
1330C22×C4C24×C3712yes—
1331C22×C4C24×C3712yes—
1332C22×C4C24×C3711yescharacteristic
1333C22×C4C24×C3712yes—
1334C22×C4C24×C3712yes—
1335C22×C4C24×C3714yes—
1336C22×C4C24×C3711yescharacteristic
1337C22×C4C24×C3714yes—
1338C22×C4C24×C3714yes—
1339C22×C4C24×C3712yes—
1340C22×C4C24×C3718yes—
1341C22×C4C24×C3718yes—
1342C22×C4C24×C3714yes—
1343C22×C4C24×C3718yes—
1344C22×C4C24×C3718yes—
1345C22×C4C24×C3714yes—
1346C22×C4C24×C3714yes—
1347C22×C4C24×C3714yes—
1348C22×C4C24×C3714yes—
1349C22×C4C24×C3714yes—
1350C22×C4C24×C3711yescharacteristic
1351C4⋊C4C24×C3714yes—
1352C4⋊C4C24×C3714yes—
1353C4⋊C4C24×C3714yes—
1354C4⋊C4C24×C3712yes—
1355C4⋊C4C24×C3714yes—
1356C4⋊C4C24×C3718yes—
1357C4⋊C4C24×C3714yes—
1358C4⋊C4C24×C3712yes—
1359C4⋊C4C24×C3712yes—
1360C4⋊C4C24×C3718yes—
1361C4⋊C4C24×C3718yes—
1362C4⋊C4C24×C3714yes—
1363C4⋊C4C24×C3714yes—
1364C4⋊C4C24×C3714yes—
1365C4⋊C4C24×C3714yes—
1366C4⋊C4C24×C3718yes—
1367C4⋊C4C24×C3718yes—
1368C4⋊C4C24×C3718yes—
1369C4⋊C4C24×C3714yes—
1370C4⋊C4C24×C3712yes—
1371C4⋊C4C24×C3714yes—
1372C4⋊C4C24×C3714yes—
1373C4⋊C4C24×C3714yes—
1374C4⋊C4C24×C3718yes—
1375C4⋊C4C24×C3718yes—
1376C4⋊C4C24×C3718yes—
1377C4⋊C4C24×C3718yes—
1378C4⋊C4C24×C3714yes—
1379C4⋊C4C24×C3718yes—
1380C4⋊C4C24×C3714yes—
1381C4⋊C4C24×C3714yes—
1382C4⋊C4C24×C3714yes—
1383C4⋊C4C24×C3714yes—
1384C4⋊C4C24×C3714yes—
1385C22⋊C4C24×C3711yescharacteristic
1386C22⋊C4C24×C3714yes—
1387C22⋊C4C24×C3714yes—
1388C22⋊C4C24×C3712yes—
1389C22⋊C4C24×C3718yes—
1390C22⋊C4C24×C3714yes—
1391C22⋊C4C24×C3718yes—
1392C22⋊C4C24×C3711yescharacteristic
1393C22⋊C4C24×C3711yescharacteristic
1394C22⋊C4C24×C3711yescharacteristic
1395C22⋊C4C24×C3714yes—
1396C22⋊C4C24×C3718yes—
1397C22⋊C4C24×C3714yes—
1398C22⋊C4C24×C3718yes—
1399C22⋊C4C24×C3718yes—
1400C22⋊C4C24×C3718yes—
1401C22⋊C4C24×C3718yes—
1402C22⋊C4C24×C3714yes—
1403C22⋊C4C24×C3714yes—
1404C22⋊C4C24×C3712yes—
1405C22⋊C4C24×C3714yes—
1406C22⋊C4C24×C3718yes—
1407C22⋊C4C24×C3718yes—
1408C22⋊C4C24×C3714yes—
1409C22⋊C4C24×C3714yes—
1410C22⋊C4C24×C3714yes—
1411C22⋊C4C24×C3714yes—
1412C22⋊C4C24×C3714yes—
1413C22⋊C4C24×C3714yes—
1414C22⋊C4C24×C3718yes—
1415C22⋊C4C24×C3718yes—
1416C22⋊C4C24×C3718yes—
1417C22⋊C4C24×C3714yes—
1418C22⋊C4C24×C3718yes—
1419C22⋊C4C24×C3714yes—
1420C22⋊C4C24×C3714yes—
1421C42C24×C3712yes—
1422C42C24×C3714yes—
1423C42C24×C3714yes—
1424C42C24×C3714yes—
1425C42C24×C3714yes—
1426C42C24×C3714yes—
1427C42C24×C3712yes—
1428C42C24×C3714yes—
1429C42C24×C3714yes—
1430C42C24×C3718yes—
1431C42C24×C3718yes—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—28no—
1436C23—41no—
1437C23—44no—
1438C23—44no—
1439C23—41no—
1440C23—44no—
1441C23—41no—
1442C23—44no—
1443C23—44no—
1444C23C25×C3712yes—
1445C23C25×C3714yes—
1446C23C25×C3711yescharacteristic
1447C23C25×C3714yes—
1448C23C25×C3714yes—
1449C23C25×C3711yescharacteristic
1450C23C25×C3711yescharacteristic
1451Q8—28no—
1452Q8—24no—
1453Q8—24no—
1454Q8—24no—
1455Q8—48no—
1456Q8—44no—
1457Q8—44no—
1458Q8—44no—
1459D4—28no—
1460D4—28no—
1461D4—28no—
1462D4—24no—
1463D4—28no—
1464D4—24no—
1465D4—24no—
1466D4—24no—
1467D4—44no—
1468D4—44no—
1469D4—44no—
1470D4—44no—
1471D4—44no—
1472D4—44no—
1473D4—48no—
1474D4—44no—
1475D4—44no—
1476D4—42no—
1477D4—44no—
1478D4—44no—
1479D4—48no—
1480D4—44no—
1481D4—44no—
1482D4—48no—
1483D4—44no—
1484D4—44no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—28no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—42no—
1503C2×C4—44no—
1504C2×C4—42no—
1505C2×C4—41no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—41no—
1512C2×C4—42no—
1513C2×C4—48no—
1514C2×C4H(5,𝔽2)×C3714yes—
1515C2×C4C25×C3711yescharacteristic
1516C2×C4C25×C3711yescharacteristic
1517C2×C4C25×C3714yes—
1518C2×C4C25×C3714yes—
1519C2×C4C25×C3714yes—
1520C2×C4C25×C3714yes—
1521C2×C4C25×C3712yes—
1522C2×C4C25×C3711yescharacteristic
1523C2×C4C25×C3711yescharacteristic
1524C2×C4C25×C3714yes—
1525C2×C4C25×C3714yes—
1526C2×C4C25×C3714yes—
1527C2×C4C25×C3714yes—
1528C2×C4C25×C3714yes—
1529C2×C4C25×C3712yes—
1530C2×C4C25×C3712yes—
1531C22—21no—
1532C22—21no—
1533C22—21no—
1534C22—21no—
1535C22—22no—
1536C22—21no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—21no—
1541C22—24no—
1542C22—24no—
1543C22—22no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—21no—
1548C22—24no—
1549C22—22no—
1550C22—44no—
1551C22—88no—
1552C22—82no—
1553C22—88no—
1554C22C2×H(5,𝔽2)×C3712yes—
1555C22C37×#58512yes—
1556C22C26×C3711yescharacteristic
1557C4—21no—
1558C4—22no—
1559C4—21no—
1560C4—24no—
1561C4—24no—
1562C4—24no—
1563C4—24no—
1564C4—24no—
1565C4—24no—
1566C4—22no—
1567C4—24no—
1568C4—21no—
1569C4—24no—
1570C4—24no—
1571C4—21no—
1572C4C2×H(5,𝔽2)×C3714yes—
1573C2—22no—
1574C2—22no—
1575C2—41no—
1576C2—42no—
1577C2—44no—
1578C2—44no—
1579C2—44no—
1580C2C22×H(5,𝔽2)×C3711yescharacteristic
1581C2C2×C37×#58511yescharacteristic
1582C2C37×2−1+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×#3560C2semidirect
2. C37×#3559C2semidirect
3. C37×#3551C2semidirect
4. C37×#3547C2semidirect
5. C37×#3542C2semidirect
6. C37×#3541C2semidirect
7. C37×#3539C2semidirect
8. C37×#3538C2semidirect
9. C37×#3534C2semidirect
10. C37×#3520C2semidirect
11. C37×#3512C2semidirect
12. C37×#3505C2semidirect
13. C37×#3497C2semidirect
14. C37×#3494C2semidirect
15. C37×#3493C2semidirect
16. C37×#3492C2semidirect
17. C37×#3489C2semidirect
18. C37×#3489C2semidirect
19. C2×C37×#552C2semidirect
20. D4×#41×C37C2semidirect
21. C37×#3461C2semidirect
22. C37×#3449C2semidirect
23. C2×C37×#537C2semidirect
24. C2×2−1+4×C37C22semidirect
25. C22×#41×C37C22semidirect
26. C22×#41×C37C22semidirect
27. C37×#563C22semidirect
28. C37×#563C22semidirect
29. C37×#562C22semidirect
30. C37×#562C22semidirect
31. C37×#560C22semidirect
32. C37×#560C22semidirect
33. C37×#556C22semidirect
34. C37×#555C22semidirect
35. C37×#555C22semidirect
36. C37×#554C22semidirect
37. C37×#554C22semidirect
38. C37×#553C22semidirect
39. C37×#553C22semidirect
40. C37×#553C22semidirect
41. C37×#553C22semidirect
42. C37×#553C22semidirect
43. C37×#553C22semidirect
44. C37×#553C22semidirect
45. C37×#553C22semidirect
46. C37×#553C22semidirect
47. C37×#552C22semidirect
48. C37×#552C22semidirect
49. C37×#552C22semidirect
50. C37×#552C22semidirect
51. C37×#552C22semidirect
52. C37×#552C22semidirect
53. C37×#552C22semidirect
54. C37×#552C22semidirect
55. C37×#551C22semidirect
56. C37×#551C22semidirect
57. C37×#551C22semidirect
58. C37×#551C22semidirect
59. C37×#550C22semidirect
60. C37×#550C22semidirect
61. D4×Q8×C37C22semidirect
62. D4×Q8×C37C22semidirect
63. D4×Q8×C37C22semidirect
64. D4×Q8×C37C22semidirect
66. C37×#548C22semidirect
67. C37×#548C22semidirect
68. C37×#548C22semidirect
69. C37×#548C22semidirect
70. C37×#548C22semidirect
71. C37×#547C22semidirect
72. C37×#547C22semidirect
73. C37×#547C22semidirect
74. C37×#547C22semidirect
75. C37×#547C22semidirect
76. C37×#547C22semidirect
77. C37×#547C22semidirect
79. C37×#546C22semidirect
80. C37×#546C22semidirect
81. C37×#546C22semidirect
82. C37×#546C22semidirect
83. C37×#546C22semidirect
84. C37×#546C22semidirect
85. C37×#546C22semidirect
86. C37×#546C22semidirect
88. D42×C37C22semidirect
89. C37×#544C22semidirect
90. C37×#544C22semidirect
91. C37×#544C22semidirect
92. C37×#542C22semidirect
93. C37×#542C22semidirect
94. C37×#542C22semidirect
95. C37×#542C22semidirect
96. C37×#541C22semidirect
97. C37×#541C22semidirect
98. C37×#540C22semidirect
99. C37×#540C22semidirect
100. C37×#540C22semidirect
101. C37×#540C22semidirect
102. C37×#540C22semidirect
103. C37×#539C22semidirect
104. C37×#539C22semidirect
105. C37×#539C22semidirect
106. C37×#539C22semidirect
107. C37×#539C22semidirect
108. C37×#539C22semidirect
109. C37×#538C22semidirect
110. C37×#538C22semidirect
111. C37×#538C22semidirect
112. C37×#538C22semidirect
114. C37×#537C22semidirect
115. C37×#537C22semidirect
116. C37×#537C22semidirect
117. C37×#537C22semidirect
118. C37×#537C22semidirect
119. C37×#537C22semidirect
120. C37×#537C22semidirect
121. C37×#537C22semidirect
122. C37×#537C22semidirect
123. C37×#537C22semidirect
124. C37×#536C22semidirect
125. C37×#536C22semidirect
126. C37×#536C22semidirect
127. C37×#536C22semidirect
128. C37×#535C22semidirect
129. C37×#535C22semidirect
130. C37×#534C22semidirect
131. C37×#534C22semidirect
132. C37×#533C22semidirect
133. C37×#532C22semidirect
134. C37×#532C22semidirect
135. C37×#532C22semidirect
136. C37×#532C22semidirect
137. C37×#529C22semidirect
138. C37×#529C22semidirect
139. C37×#529C22semidirect
140. C37×#529C22semidirect
141. C37×#529C22semidirect
142. C2×#126×C37C22semidirect
143. C2×#125×C37C22semidirect
144. C2×#125×C37C22semidirect
146. C37×#525C22semidirect
147. C37×#525C22semidirect
148. C37×#525C22semidirect
149. C37×#525C22semidirect
150. C37×#525C22semidirect
151. C37×#525C22semidirect
152. C37×#525C22semidirect
153. C37×#525C22semidirect
155. C2×C22⋊Q8×C37C22semidirect
156. C2×C22⋊Q8×C37C22semidirect
157. C2×C22⋊Q8×C37C22semidirect
158. C2×C22⋊Q8×C37C22semidirect
159. C2×C22⋊Q8×C37C22semidirect
160. C2×#121×C37C22semidirect
161. C2×#121×C37C22semidirect
162. C37×#520C22semidirect
163. C37×#520C22semidirect
164. C37×#520C22semidirect
165. C37×#518C22semidirect
166. C4×#41×C37C22semidirect
167. C2×C4×Q8×C37C22semidirect
169. C2×C4×D4×C37C22semidirect
170. C2×#117×C37C22semidirect
171. C2×#117×C37C22semidirect
172. C22×C4⋊C4×C37C22semidirect
739. #62927C37direct (N × H)
782. #3560C2×C37semidirect
783. #3559C2×C37semidirect
784. #3551C2×C37semidirect
785. #3547C2×C37semidirect
786. #3542C2×C37semidirect
787. #3541C2×C37semidirect
788. #3539C2×C37semidirect
789. #3538C2×C37semidirect
790. #3534C2×C37semidirect
791. #3520C2×C37semidirect
792. #3512C2×C37semidirect
793. #3505C2×C37semidirect
794. #3497C2×C37semidirect
795. #3494C2×C37semidirect
796. #3493C2×C37semidirect
797. #3492C2×C37semidirect
798. #3489C2×C37semidirect
799. #3489C2×C37semidirect
800. C2×#552C2×C37semidirect
801. D4×#41C2×C37semidirect
802. #3461C2×C37semidirect
803. #3449C2×C37semidirect
804. C2×#537C2×C37semidirect
815. C2×2−1+4C22×C37semidirect
816. C22×#41C22×C37semidirect
817. C22×#41C22×C37semidirect
818. #563C22×C37semidirect
819. #563C22×C37semidirect
820. #562C22×C37semidirect
821. #562C22×C37semidirect
822. #560C22×C37semidirect
823. #560C22×C37semidirect
824. #556C22×C37semidirect
825. #555C22×C37semidirect
826. #555C22×C37semidirect
827. #554C22×C37semidirect
828. #554C22×C37semidirect
829. #553C22×C37semidirect
830. #553C22×C37semidirect
831. #553C22×C37semidirect
832. #553C22×C37semidirect
833. #553C22×C37semidirect
834. #553C22×C37semidirect
835. #553C22×C37semidirect
836. #553C22×C37semidirect
837. #553C22×C37semidirect
838. #552C22×C37semidirect
839. #552C22×C37semidirect
840. #552C22×C37semidirect
841. #552C22×C37semidirect
842. #552C22×C37semidirect
843. #552C22×C37semidirect
844. #552C22×C37semidirect
845. #552C22×C37semidirect
846. #551C22×C37semidirect
847. #551C22×C37semidirect
848. #551C22×C37semidirect
849. #551C22×C37semidirect
850. #550C22×C37semidirect
851. #550C22×C37semidirect
852. D4×Q8C22×C37semidirect
853. D4×Q8C22×C37semidirect
854. D4×Q8C22×C37semidirect
855. D4×Q8C22×C37semidirect
857. #548C22×C37semidirect
858. #548C22×C37semidirect
859. #548C22×C37semidirect
860. #548C22×C37semidirect
861. #548C22×C37semidirect
862. #547C22×C37semidirect
863. #547C22×C37semidirect
864. #547C22×C37semidirect
865. #547C22×C37semidirect
866. #547C22×C37semidirect
867. #547C22×C37semidirect
868. #547C22×C37semidirect
870. #546C22×C37semidirect
871. #546C22×C37semidirect
872. #546C22×C37semidirect
873. #546C22×C37semidirect
874. #546C22×C37semidirect
875. #546C22×C37semidirect
876. #546C22×C37semidirect
877. #546C22×C37semidirect
879. D42C22×C37semidirect
880. #544C22×C37semidirect
881. #544C22×C37semidirect
882. #544C22×C37semidirect
883. #542C22×C37semidirect
884. #542C22×C37semidirect
885. #542C22×C37semidirect
886. #542C22×C37semidirect
887. #541C22×C37semidirect
888. #541C22×C37semidirect
889. #540C22×C37semidirect
890. #540C22×C37semidirect
891. #540C22×C37semidirect
892. #540C22×C37semidirect
893. #540C22×C37semidirect
894. #539C22×C37semidirect
895. #539C22×C37semidirect
896. #539C22×C37semidirect
897. #539C22×C37semidirect
898. #539C22×C37semidirect
899. #539C22×C37semidirect
900. #538C22×C37semidirect
901. #538C22×C37semidirect
902. #538C22×C37semidirect
903. #538C22×C37semidirect
905. #537C22×C37semidirect
906. #537C22×C37semidirect
907. #537C22×C37semidirect
908. #537C22×C37semidirect
909. #537C22×C37semidirect
910. #537C22×C37semidirect
911. #537C22×C37semidirect
912. #537C22×C37semidirect
913. #537C22×C37semidirect
914. #537C22×C37semidirect
915. #536C22×C37semidirect
916. #536C22×C37semidirect
917. #536C22×C37semidirect
918. #536C22×C37semidirect
919. #535C22×C37semidirect
920. #535C22×C37semidirect
921. #534C22×C37semidirect
922. #534C22×C37semidirect
923. #533C22×C37semidirect
924. #532C22×C37semidirect
925. #532C22×C37semidirect
926. #532C22×C37semidirect
927. #532C22×C37semidirect
928. #529C22×C37semidirect
929. #529C22×C37semidirect
930. #529C22×C37semidirect
931. #529C22×C37semidirect
932. #529C22×C37semidirect
933. C2×#126C22×C37semidirect
934. C2×#125C22×C37semidirect
935. C2×#125C22×C37semidirect
937. #525C22×C37semidirect
938. #525C22×C37semidirect
939. #525C22×C37semidirect
940. #525C22×C37semidirect
941. #525C22×C37semidirect
942. #525C22×C37semidirect
943. #525C22×C37semidirect
944. #525C22×C37semidirect
946. C2×C22⋊Q8C22×C37semidirect
947. C2×C22⋊Q8C22×C37semidirect
948. C2×C22⋊Q8C22×C37semidirect
949. C2×C22⋊Q8C22×C37semidirect
950. C2×C22⋊Q8C22×C37semidirect
951. C2×#121C22×C37semidirect
952. C2×#121C22×C37semidirect
953. #520C22×C37semidirect
954. #520C22×C37semidirect
955. #520C22×C37semidirect
956. #518C22×C37semidirect
957. C4×#41C22×C37semidirect
958. C2×C4×Q8C22×C37semidirect
960. C2×C4×D4C22×C37semidirect
961. C2×#117C22×C37semidirect
962. C2×#117C22×C37semidirect
963. C22×C4⋊C4C22×C37semidirect
964. C37#62927direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35602
C37×#35592
C37×#35512
C37×#35472
C37×#35422
C37×#35412
C37×#35392
C37×#35382
C37×#35342
C37×#35202
C37×#35122
C37×#35052
C37×#34972
C37×#34942
C37×#34932
C37×#34922
C37×#34892
C2×C37×#5522
D4×#41×C372
C37×#34612
C37×#34492
C2×C37×#5372
#6292737