Finite Group Databasebeta

← C37×#62925 #22684178

Subgroups — C37×#62925 #22684178

Order 9472.

7090 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C214yesmaximal, complemented
2C37×#3554C214yesmaximal, complemented
3C37×#3552C212yesmaximal, complemented
4C37×#3548C212yesmaximal, complemented
5C37×#3547C212yesmaximal, complemented
6C37×#3546C212yesmaximal, complemented
7C37×#3542C214yesmaximal, complemented
8C37×#3541C214yesmaximal, complemented
9C37×#3539C214yesmaximal, complemented
10C37×#3533C218yesmaximal, complemented
11C37×#3520C212yesmaximal, complemented
12C37×#3517C212yesmaximal, complemented
13C37×#3511C212yesmaximal, complemented
14C37×#3509C211yesmaximal, characteristic, complemented
15C37×#3506C211yesmaximal, characteristic, complemented
16C37×#3506C212yesmaximal, complemented
17C37×#3499C211yesmaximal, characteristic, complemented
18C37×#3495C212yesmaximal, complemented
19C37×#3492C214yesmaximal, complemented
20C37×#3489C212yesmaximal, complemented
21C37×#3487C212yesmaximal, complemented
22C37×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C37C211yesmaximal, characteristic, complemented
24C2×C37×#547C211yesmaximal, characteristic, complemented
25C37×#3460C211yesmaximal, characteristic, complemented
26C37×#3449C212yesmaximal, complemented
27C2×2−1+4×C37C2212yescomplemented
28C22×#41×C37C2212yes—
29C22×#41×C37C2212yescomplemented
30C37×#563C2218yescomplemented
31C37×#562C2218yescomplemented
32C37×#562C2218yescomplemented
33C37×#562C2218yescomplemented
34C37×#560C2218yescomplemented
35C37×#560C2218yescomplemented
36C37×#559C2218yescomplemented
37C37×#559C2214yescomplemented
38C37×#557C2212yescomplemented
39C37×#557C2212yescomplemented
40C37×#556C2211yescharacteristic, complemented
41C37×#556C2214yescomplemented
42C37×#556C2212yescomplemented
43C37×#556C2212yescomplemented
44C37×#556C2212yescomplemented
45C37×#555C2211yescharacteristic, complemented
46C37×#555C2212yescomplemented
47C37×#555C2214yescomplemented
48C37×#554C2211yescharacteristic, complemented
49C37×#554C2214yescomplemented
50C37×#554C2218yescomplemented
51C37×#554C2214yescomplemented
52C37×#554C2214yescomplemented
53C37×#553C2212yescomplemented
54C37×#553C2214yescomplemented
55C37×#553C2218yescomplemented
56C37×#553C2214yescomplemented
57C37×#553C2214yescomplemented
58C37×#553C2214yescomplemented
59C37×#553C2218yescomplemented
60C37×#553C2218yescomplemented
61C37×#552C2212yescomplemented
62C37×#552C2212yescomplemented
63C37×#552C2218yescomplemented
64C37×#552C2214yescomplemented
65C37×#552C2214yescomplemented
66C37×#552C2214yescomplemented
67C37×#552C2214yescomplemented
68C37×#551C2214yescomplemented
69C37×#551C2218yescomplemented
70C37×#551C2218yescomplemented
71C37×#550C2211yescharacteristic, complemented
72C37×#550C2214yescomplemented
73C37×#550C2214yescomplemented
74C37×#550C2214yescomplemented
75C37×#550C2214yescomplemented
76C37×#550C2212yescomplemented
77C37×#550C2214yescomplemented
78D4×Q8×C37C2211yescharacteristic, complemented
79D4×Q8×C37C2214yescomplemented
80D4×Q8×C37C2212yescomplemented
81D4×Q8×C37C2212yescomplemented
82C37×#548C2212yescomplemented
83C37×#548C2214yescomplemented
84C37×#548C2214yescomplemented
85C37×#548C2214yescomplemented
86C37×#548C2214yescomplemented
87C37×#548C2214yescomplemented
88C37×#547C2212yes—
89C37×#547C2212yes—
90C37×#547C2212yes—
91C37×#547C2212yescomplemented
92C37×#547C2214yescomplemented
93C37×#547C2212yescomplemented
94C37×#547C2214yescomplemented
95C37×#547C2211yescharacteristic, complemented
96C37×#547C2211yescharacteristic, complemented
97C37×#547C2218yescomplemented
98C37×#547C2214yescomplemented
99C37×#547C2214yescomplemented
100C37×#547C2212yescomplemented
101C37×#547C2214yescomplemented
102C37×#547C2212yescomplemented
103C37×#547C2212yescomplemented
104C37×#546C2214yes—
105C37×#546C2212yes—
106C37×#546C2212yescomplemented
107C37×#546C2218yescomplemented
108C37×#546C2214yescomplemented
109C37×#546C2214yescomplemented
110D42×C37C2212yes—
111D42×C37C2211yescharacteristic, complemented
112C37×#544C2211yescharacteristic, complemented
113C37×#544C2214yescomplemented
114C37×#542C2212yescomplemented
115C37×#542C2212yescomplemented
116C37×#542C2214yescomplemented
117C37×#542C2218yescomplemented
118C37×#542C2214yescomplemented
119C37×#542C2218yescomplemented
120C37×#541C2214yescomplemented
121C37×#541C2214yescomplemented
122C37×#540C2212yescomplemented
123C37×#540C2212yescomplemented
124C37×#540C2218yescomplemented
125C37×#540C2214yescomplemented
126C37×#540C2218yescomplemented
127C37×#540C2218yescomplemented
128C37×#539C2218yescomplemented
129C37×#539C2218yescomplemented
130C37×#539C2218yescomplemented
131C37×#539C2218yescomplemented
132C37×#538C2214yescomplemented
133C37×#538C2214yescomplemented
134C37×#538C2218yescomplemented
135C37×#538C2218yescomplemented
136C37×#538C2218yescomplemented
137C37×#537C2211yescharacteristic
138C37×#537C2214yescomplemented
139C37×#537C2214yescomplemented
140C37×#537C2214yescomplemented
141C37×#537C2214yescomplemented
142C37×#537C2214yescomplemented
143C37×#536C2212yes—
144C37×#536C2212yescomplemented
145C37×#536C2214yescomplemented
146C37×#536C2214yescomplemented
147C37×#536C2214yescomplemented
148C37×#535C2211yescharacteristic
149C37×#535C2212yescomplemented
150C37×#535C2214yescomplemented
151C37×#535C2211yescharacteristic, complemented
152C37×#535C2218yescomplemented
153C37×#535C2214yescomplemented
154C37×#534C2218yescomplemented
155C37×#533C2211yescharacteristic, complemented
156C37×#533C2214yescomplemented
157C37×#533C2212yescomplemented
158C37×#533C2212yescomplemented
159C37×#532C2211yescharacteristic
160C37×#532C2214yescomplemented
161C37×#532C2214yescomplemented
162C37×#532C2212yescomplemented
163C37×#532C2212yescomplemented
164C37×#532C2212yescomplemented
165C37×#532C2212yescomplemented
166C2×C4⋊Q8×C37C2211yescharacteristic, complemented
167C2×C4⋊Q8×C37C2212yescomplemented
168C37×#529C2212yescomplemented
169C37×#529C2212yescomplemented
170C37×#529C2212yescomplemented
171C37×#529C2214yescomplemented
172C37×#529C2214yescomplemented
173C37×#525C2212yes—
174C37×#525C2218yescomplemented
175C37×#525C2214yescomplemented
176C37×#525C2214yescomplemented
177C37×#525C2214yescomplemented
178C37×#525C2214yescomplemented
179C37×#525C2212yescomplemented
180C37×#525C2218yescomplemented
181C37×#525C2214yescomplemented
182C37×#525C2214yescomplemented
183C2×#123×C37C2214yescomplemented
184C2×C22⋊Q8×C37C2212yescomplemented
185C2×C22⋊Q8×C37C2214yescomplemented
186C2×#121×C37C2212yes—
187C37×#520C2212yescomplemented
188C37×#520C2214yescomplemented
189C37×#520C2214yescomplemented
190C37×#519C2212yescomplemented
191C4×#41×C37C2211yescharacteristic
192C4×#41×C37C2211yescharacteristic, complemented
193C4×#41×C37C2212yescomplemented
194C2×C4×D4×C37C2211yescharacteristic
195C2×C4×D4×C37C2211yescharacteristic, complemented
196C2×C4×D4×C37C2212yescomplemented
197C2×#117×C37C2212yescomplemented
198C22×C4⋊C4×C37C2212yescomplemented
1992−1+4×C37—48no—
200C2×#41×C37—48no—
201C2×#41×C37—48no—
202C2×#41×C37C2312yes—
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2314yes—
206C2×#41×C37C2314yes—
207C2×#41×C37C2314yes—
208C2×#41×C37C2314yes—
209C2×#41×C37C2314yes—
210C2×#41×C37C2318yes—
211C2×#41×C37C2314yes—
212C2×#41×C37C2312yes—
213C2×#41×C37C2312yes—
214C2×#41×C37C2314yes—
215C2×#41×C37C2314yes—
216C2×#41×C37C2314yes—
217C2×#41×C37C2312yes—
218C2×#41×C37C2314yes—
219C22×Q8×C37C2312yes—
220C22×Q8×C37C2314yes—
221C22×Q8×C37C2314yes—
222C22×Q8×C37C2312yes—
223C22×D4×C37C2311yescharacteristic
224C22×D4×C37C2311yescharacteristic
225C22×D4×C37C2314yes—
226C22×D4×C37C2314yes—
227C22×D4×C37C2312yes—
228C22×D4×C37C2312yes—
229C23×C4×C37C2312yes—
230C23×C4×C37C2312yes—
231C23×C4×C37C2314yes—
232C23×C4×C37C2314yes—
233C4⋊Q8×C37C2311yescharacteristic
234C4⋊Q8×C37C2312yes—
235C4⋊Q8×C37C2314yes—
236C4⋊Q8×C37C2312yes—
237C4⋊Q8×C37C2312yes—
238C4⋊Q8×C37C2312yes—
239C4⋊Q8×C37C2314yes—
240C4⋊Q8×C37C2314yes—
241C4⋊Q8×C37C2312yes—
242C4⋊Q8×C37C2314yes—
243C4⋊Q8×C37C2312yes—
244C4⋊Q8×C37C2312yes—
245C4⋊Q8×C37C2311yescharacteristic
246C4⋊Q8×C37C2311yescharacteristic
247C4⋊Q8×C37C2318yes—
248#127×C37C2311yescharacteristic
249#127×C37C2312yes—
250#127×C37C2314yes—
251#127×C37C2312yes—
252#127×C37C2312yes—
253#127×C37C2318yes—
254#127×C37C2318yes—
255#126×C37C2314yes—
256#126×C37C2314yes—
257#126×C37C2318yes—
258#126×C37C2314yes—
259#126×C37C2314yes—
260#126×C37C2314yes—
261#126×C37C2318yes—
262#126×C37C2318yes—
263#126×C37C2318yes—
264#126×C37C2318yes—
265#126×C37C2318yes—
266#126×C37C2318yes—
267#125×C37C2312yes—
268#125×C37C2314yes—
269#125×C37C2312yes—
270#125×C37C2312yes—
271#125×C37C2318yes—
272#125×C37C2314yes—
273#125×C37C2314yes—
274#125×C37C2312yes—
275#125×C37C2318yes—
276#125×C37C2318yes—
277#125×C37C2318yes—
278#125×C37C2318yes—
279#124×C37C2312yes—
280#124×C37C2314yes—
281#124×C37C2312yes—
282#124×C37C2314yes—
283#124×C37C2312yes—
284#124×C37C2312yes—
285#124×C37C2314yes—
286#124×C37C2314yes—
287#124×C37C2314yes—
288#124×C37C2314yes—
289#124×C37C2314yes—
290#124×C37C2318yes—
291#124×C37C2318yes—
292#124×C37C2318yes—
293#124×C37C2318yes—
294#124×C37C2318yes—
295#123×C37C2318yes—
296#123×C37C2318yes—
297#123×C37C2318yes—
298#123×C37C2318yes—
299#123×C37C2314yes—
300#123×C37C2314yes—
301#123×C37C2318yes—
302#123×C37C2318yes—
303#123×C37C2318yes—
304#123×C37C2318yes—
305#123×C37C2314yes—
306#123×C37C2314yes—
307#123×C37C2314yes—
308#123×C37C2318yes—
309#123×C37C2318yes—
310#123×C37C2314yes—
311#123×C37C2314yes—
312#123×C37C2314yes—
313#123×C37C2314yes—
314#123×C37C2314yes—
315#123×C37C2314yes—
316#123×C37C2318yes—
317#123×C37C2318yes—
318#123×C37C2318yes—
319#123×C37C2318yes—
320#123×C37C2318yes—
321#123×C37C2318yes—
322#123×C37C2318yes—
323C22⋊Q8×C37C2314yes—
324C22⋊Q8×C37C2312yes—
325C22⋊Q8×C37C2312yes—
326C22⋊Q8×C37C2314yes—
327C22⋊Q8×C37C2314yes—
328C22⋊Q8×C37C2314yes—
329C22⋊Q8×C37C2318yes—
330C22⋊Q8×C37C2318yes—
331C22⋊Q8×C37C2314yes—
332C22⋊Q8×C37C2312yes—
333C22⋊Q8×C37C2312yes—
334C22⋊Q8×C37C2314yes—
335C22⋊Q8×C37C2312yes—
336C22⋊Q8×C37C2312yes—
337C22⋊Q8×C37C2318yes—
338C22⋊Q8×C37C2314yes—
339C22⋊Q8×C37C2314yes—
340C22⋊Q8×C37C2318yes—
341C22⋊Q8×C37C2314yes—
342C22⋊Q8×C37C2314yes—
343C22⋊Q8×C37C2314yes—
344C22⋊Q8×C37C2314yes—
345C22⋊Q8×C37C2318yes—
346C22⋊Q8×C37C2318yes—
347C22⋊Q8×C37C2314yes—
348C22⋊Q8×C37C2312yes—
349C22⋊Q8×C37C2312yes—
350C22⋊Q8×C37C2314yes—
351C22⋊Q8×C37C2314yes—
352C22⋊Q8×C37C2318yes—
353C22⋊Q8×C37C2312yes—
354C22⋊Q8×C37C2314yes—
355C22⋊Q8×C37C2318yes—
356C22⋊Q8×C37C2318yes—
357C22⋊Q8×C37C2318yes—
358C22⋊Q8×C37C2318yes—
359#121×C37C2314yes—
360#121×C37C2314yes—
361#121×C37C2318yes—
362#121×C37C2312yes—
363#121×C37C2312yes—
364#121×C37C2312yes—
365#121×C37C2312yes—
366#121×C37C2312yes—
367#121×C37C2312yes—
368#121×C37C2312yes—
369#121×C37C2318yes—
370#121×C37C2314yes—
371#121×C37C2314yes—
372#121×C37C2318yes—
373#121×C37C2314yes—
374#121×C37C2314yes—
375#121×C37C2312yes—
376#121×C37C2318yes—
377#121×C37C2318yes—
378#121×C37C2314yes—
379#121×C37C2314yes—
380#121×C37C2314yes—
381#121×C37C2312yes—
382#121×C37C2312yes—
383#121×C37C2314yes—
384#121×C37C2312yes—
385#121×C37C2318yes—
386#121×C37C2318yes—
387#121×C37C2318yes—
388#121×C37C2318yes—
389#121×C37C2314yes—
390#121×C37C2312yes—
391#121×C37C2312yes—
392#121×C37C2312yes—
393#121×C37C2312yes—
394#121×C37C2314yes—
395#121×C37C2314yes—
396#121×C37C2314yes—
397#121×C37C2314yes—
398#121×C37C2318yes—
399#121×C37C2318yes—
400#121×C37C2318yes—
401#121×C37C2318yes—
402#121×C37C2318yes—
403#121×C37C2318yes—
404#121×C37C2318yes—
405#121×C37C2318yes—
406#120×C37C2314yes—
407#120×C37C2314yes—
408#120×C37C2318yes—
409#120×C37C2314yes—
410#120×C37C2318yes—
411#120×C37C2318yes—
412#120×C37C2314yes—
413#120×C37C2318yes—
414#120×C37C2314yes—
415#120×C37C2314yes—
416C4×Q8×C37C2314yes—
417C4×Q8×C37C2314yes—
418C4×Q8×C37C2314yes—
419C4×Q8×C37C2314yes—
420C4×Q8×C37C2312yes—
421C4×Q8×C37C2314yes—
422C4×Q8×C37C2314yes—
423C4×Q8×C37C2318yes—
424C4×Q8×C37C2312yes—
425C4×Q8×C37C2311yescharacteristic
426C4×Q8×C37C2311yescharacteristic
427C4×Q8×C37C2312yes—
428C4×Q8×C37C2314yes—
429C4×Q8×C37C2311yescharacteristic
430C4×Q8×C37C2311yescharacteristic
431C4×D4×C37C2312yes—
432C4×D4×C37C2318yes—
433C4×D4×C37C2318yes—
434C4×D4×C37C2318yes—
435C4×D4×C37C2318yes—
436C4×D4×C37C2318yes—
437C4×D4×C37C2318yes—
438C4×D4×C37C2314yes—
439C4×D4×C37C2314yes—
440C4×D4×C37C2314yes—
441C4×D4×C37C2314yes—
442C4×D4×C37C2312yes—
443C4×D4×C37C2318yes—
444C4×D4×C37C2318yes—
445C4×D4×C37C2312yes—
446C4×D4×C37C2312yes—
447C4×D4×C37C2312yes—
448C4×D4×C37C2314yes—
449C4×D4×C37C2314yes—
450C4×D4×C37C2314yes—
451C4×D4×C37C2314yes—
452C4×D4×C37C2318yes—
453C4×D4×C37C2318yes—
454C4×D4×C37C2318yes—
455C4×D4×C37C2318yes—
456C4×D4×C37C2311yescharacteristic
457C4×D4×C37C2312yes—
458C4×D4×C37C2312yes—
459C4×D4×C37C2312yes—
460C4×D4×C37C2318yes—
461C4×D4×C37C2312yes—
462C4×D4×C37C2311yescharacteristic
463C4×D4×C37C2311yescharacteristic
464C4×D4×C37C2311yescharacteristic
465C4×D4×C37C2314yes—
466C4×D4×C37C2312yes—
467C4×D4×C37C2312yes—
468C4×D4×C37C2314yes—
469C4×D4×C37C2312yes—
470C4×D4×C37C2311yescharacteristic
471C4×D4×C37C2311yescharacteristic
472C4×D4×C37C2314yes—
473C4×D4×C37C2312yes—
474C4×D4×C37C2312yes—
475C4×D4×C37C2312yes—
476C4×D4×C37C2311yescharacteristic
477C4×D4×C37C2311yescharacteristic
478#117×C37C2311yescharacteristic
479#117×C37C2312yes—
480#117×C37C2318yes—
481#117×C37C2312yes—
482#117×C37C2314yes—
483#117×C37C2314yes—
484#117×C37C2314yes—
485#117×C37C2318yes—
486#117×C37C2314yes—
487#117×C37C2312yes—
488#117×C37C2314yes—
489#117×C37C2312yes—
490#117×C37C2312yes—
491#117×C37C2314yes—
492#117×C37C2312yes—
493#117×C37C2314yes—
494#117×C37C2318yes—
495#117×C37C2311yescharacteristic
496#117×C37C2314yes—
497C2×C4⋊C4×C37C2311yescharacteristic
498C2×C4⋊C4×C37C2314yes—
499C2×C4⋊C4×C37C2312yes—
500C2×C4⋊C4×C37C2314yes—
501C2×C4⋊C4×C37C2318yes—
502C2×C4⋊C4×C37C2314yes—
503C2×C4⋊C4×C37C2312yes—
504C2×C4⋊C4×C37C2314yes—
505C2×C4⋊C4×C37C2312yes—
506C2×C4⋊C4×C37C2314yes—
507C2×C4⋊C4×C37C2312yes—
508C2×C4⋊C4×C37C2312yes—
509C2×C4⋊C4×C37C2314yes—
510C2×C4⋊C4×C37C2318yes—
511C2×C4⋊C4×C37C2311yescharacteristic
512C2×C22⋊C4×C37C2314yes—
513C2×C22⋊C4×C37C2318yes—
514C2×C22⋊C4×C37C2312yes—
515C2×C22⋊C4×C37C2312yes—
516C2×C22⋊C4×C37C2314yes—
517C2×C22⋊C4×C37C2314yes—
518C2×C42×C37C2312yes—
519C2×C42×C37C2314yes—
520C2×C42×C37C2312yes—
521C2×C42×C37C2311yescharacteristic
522C24×C37C2412yes—
523C24×C37C2412yes—
524C24×C37C2414yes—
525#41×C37—24no—
526#41×C37—28no—
527#41×C37—24no—
528#41×C37—48no—
529#41×C37—48no—
530#41×C37—48no—
531#41×C37—416no—
532#41×C37—48no—
533#41×C37—48no—
534#41×C37—48no—
535#41×C37—48no—
536#41×C37—44no—
537#41×C37—44no—
538#41×C37—48no—
539#41×C37—44no—
540#41×C37—48no—
541#41×C37—48no—
542C2×Q8×C37—28no—
543C2×Q8×C37—44no—
544C2×Q8×C37—48no—
545C2×Q8×C37—48no—
546C2×Q8×C37C2412yes—
547C2×Q8×C37C2411yescharacteristic
548C2×Q8×C37C2414yes—
549C2×Q8×C37C2412yes—
550C2×Q8×C37C2414yes—
551C2×Q8×C37C2411yescharacteristic
552C2×Q8×C37C2412yes—
553C2×Q8×C37C2414yes—
554C2×Q8×C37C2414yes—
555C2×Q8×C37C2418yes—
556C2×D4×C37—24no—
557C2×D4×C37—42no—
558C2×D4×C37—44no—
559C2×D4×C37—44no—
560C2×D4×C37—48no—
561C2×D4×C37—48no—
562C2×D4×C37C2411yescharacteristic
563C2×D4×C37C2412yes—
564C2×D4×C37C2411yescharacteristic
565C2×D4×C37C2412yes—
566C2×D4×C37C2414yes—
567C2×D4×C37C2412yes—
568C2×D4×C37C2412yes—
569C2×D4×C37C2411yescharacteristic
570C2×D4×C37C2411yescharacteristic
571C2×D4×C37C2412yes—
572C2×D4×C37C2412yes—
573C2×D4×C37C2414yes—
574C2×D4×C37C2414yes—
575C2×D4×C37C2412yes—
576C2×D4×C37C2418yes—
577C2×D4×C37C2414yes—
578C2×D4×C37C2414yes—
579C2×D4×C37C2414yes—
580C2×D4×C37C2414yes—
581C2×D4×C37C2412yes—
582C2×D4×C37C2418yes—
583C2×D4×C37C2414yes—
584C2×D4×C37C2414yes—
585C2×D4×C37C2414yes—
586C2×D4×C37C2418yes—
587C2×D4×C37C2414yes—
588C2×D4×C37C2414yes—
589C2×D4×C37C2418yes—
590C2×D4×C37C2418yes—
591C2×D4×C37C2414yes—
592C22×C4×C37—28no—
593C22×C4×C37—44no—
594C22×C4×C37—48no—
595C22×C4×C37—48no—
596C22×C4×C37C2412yes—
597C22×C4×C37C2411yescharacteristic
598C22×C4×C37C2412yes—
599C22×C4×C37C2412yes—
600C22×C4×C37C2412yes—
601C22×C4×C37C2412yes—
602C22×C4×C37C2412yes—
603C22×C4×C37C2414yes—
604C22×C4×C37C2414yes—
605C22×C4×C37C2412yes—
606C22×C4×C37C2414yes—
607C22×C4×C37C2412yes—
608C22×C4×C37C2412yes—
609C22×C4×C37C2411yescharacteristic
610C22×C4×C37C2412yes—
611C22×C4×C37C2414yes—
612C22×C4×C37C2414yes—
613C22×C4×C37C2412yes—
614C22×C4×C37C2412yes—
615C22×C4×C37C2418yes—
616C22×C4×C37C2414yes—
617C22×C4×C37C2418yes—
618C22×C4×C37C2418yes—
619C22×C4×C37C2414yes—
620C22×C4×C37C2414yes—
621C22×C4×C37C2418yes—
622C22×C4×C37C2418yes—
623C22×C4×C37C2414yes—
624C22×C4×C37C2411yescharacteristic
625C4⋊C4×C37C2411yescharacteristic
626C4⋊C4×C37C2411yescharacteristic
627C4⋊C4×C37C2412yes—
628C4⋊C4×C37C2414yes—
629C4⋊C4×C37C2418yes—
630C4⋊C4×C37C2412yes—
631C4⋊C4×C37C2412yes—
632C4⋊C4×C37C2412yes—
633C4⋊C4×C37C2414yes—
634C4⋊C4×C37C2418yes—
635C4⋊C4×C37C2411yescharacteristic
636C4⋊C4×C37C2411yescharacteristic
637C4⋊C4×C37C2414yes—
638C4⋊C4×C37C2414yes—
639C4⋊C4×C37C2412yes—
640C4⋊C4×C37C2414yes—
641C4⋊C4×C37C2412yes—
642C4⋊C4×C37C2414yes—
643C4⋊C4×C37C2414yes—
644C4⋊C4×C37C2418yes—
645C4⋊C4×C37C2414yes—
646C4⋊C4×C37C2412yes—
647C4⋊C4×C37C2414yes—
648C4⋊C4×C37C2418yes—
649C4⋊C4×C37C2418yes—
650C4⋊C4×C37C2418yes—
651C4⋊C4×C37C2412yes—
652C4⋊C4×C37C2414yes—
653C4⋊C4×C37C2414yes—
654C4⋊C4×C37C2412yes—
655C4⋊C4×C37C2411yescharacteristic
656C4⋊C4×C37C2411yescharacteristic
657C4⋊C4×C37C2412yes—
658C4⋊C4×C37C2412yes—
659C4⋊C4×C37C2414yes—
660C4⋊C4×C37C2412yes—
661C4⋊C4×C37C2412yes—
662C4⋊C4×C37C2418yes—
663C4⋊C4×C37C2418yes—
664C4⋊C4×C37C2414yes—
665C4⋊C4×C37C2414yes—
666C4⋊C4×C37C2414yes—
667C4⋊C4×C37C2418yes—
668C4⋊C4×C37C2414yes—
669C22⋊C4×C37C2412yes—
670C22⋊C4×C37C2412yes—
671C22⋊C4×C37C2418yes—
672C22⋊C4×C37C2414yes—
673C22⋊C4×C37C2414yes—
674C22⋊C4×C37C2414yes—
675C22⋊C4×C37C2414yes—
676C22⋊C4×C37C2412yes—
677C22⋊C4×C37C2414yes—
678C22⋊C4×C37C2414yes—
679C22⋊C4×C37C2418yes—
680C22⋊C4×C37C2418yes—
681C22⋊C4×C37C2414yes—
682C22⋊C4×C37C2412yes—
683C22⋊C4×C37C2414yes—
684C22⋊C4×C37C2412yes—
685C22⋊C4×C37C2414yes—
686C22⋊C4×C37C2414yes—
687C22⋊C4×C37C2412yes—
688C22⋊C4×C37C2414yes—
689C22⋊C4×C37C2414yes—
690C22⋊C4×C37C2418yes—
691C22⋊C4×C37C2412yes—
692C22⋊C4×C37C2412yes—
693C22⋊C4×C37C2414yes—
694C22⋊C4×C37C2418yes—
695C22⋊C4×C37C2418yes—
696C22⋊C4×C37C2414yes—
697C22⋊C4×C37C2414yes—
698C22⋊C4×C37C2418yes—
699C22⋊C4×C37C2412yes—
700C22⋊C4×C37C2412yes—
701C22⋊C4×C37C2414yes—
702C22⋊C4×C37C2414yes—
703C22⋊C4×C37C2418yes—
704C22⋊C4×C37C2418yes—
705C22⋊C4×C37C2414yes—
706C22⋊C4×C37C2414yes—
707C22⋊C4×C37C2414yes—
708C22⋊C4×C37C2414yes—
709C42×C37C2412yes—
710C42×C37C2411yescharacteristic
711C42×C37C2411yescharacteristic
712C42×C37C2414yes—
713C42×C37C2414yes—
714C42×C37C2411yescharacteristic
715C42×C37C2412yes—
716C42×C37C2411yescharacteristic
717C42×C37C2412yes—
718C42×C37C2412yes—
719C42×C37C2414yes—
720C42×C37C2412yes—
721C42×C37C2412yes—
722C42×C37C2418yes—
723C42×C37C2418yes—
724C42×C37C2418yes—
725C23×C37—24no—
726C23×C37—24no—
727C23×C37—42no—
728C23×C37—42no—
729C23×C37—44no—
730C23×C37—42no—
731C23×C37—44no—
732C23×C37—42no—
733C23×C37—44no—
734C23×C37C2512yes—
735C23×C37C2512yes—
736C23×C37C2512yes—
737C23×C37C2514yes—
738C23×C37C2514yes—
739C23×C37C2512yes—
740C23×C37C2511yescharacteristic
741Q8×C37—28no—
742Q8×C37—28no—
743Q8×C37—22no—
744Q8×C37—24no—
745Q8×C37—22no—
746Q8×C37—24no—
747Q8×C37—48no—
748Q8×C37—44no—
749Q8×C37—42no—
750Q8×C37—44no—
751D4×C37—24no—
752D4×C37—28no—
753D4×C37—24no—
754D4×C37—24no—
755D4×C37—24no—
756D4×C37—22no—
757D4×C37—24no—
758D4×C37—22no—
759D4×C37—22no—
760D4×C37—22no—
761D4×C37—24no—
762D4×C37—42no—
763D4×C37—44no—
764D4×C37—44no—
765D4×C37—44no—
766D4×C37—44no—
767D4×C37—48no—
768D4×C37—48no—
769D4×C37—44no—
770D4×C37—42no—
771D4×C37—44no—
772D4×C37—44no—
773D4×C37—44no—
774D4×C37—48no—
775D4×C37—44no—
776D4×C37—44no—
777D4×C37—44no—
778D4×C37—48no—
779D4×C37—44no—
780D4×C37—48no—
781C2×C4×C37—24no—
782C2×C4×C37—28no—
783C2×C4×C37—24no—
784C2×C4×C37—24no—
785C2×C4×C37—24no—
786C2×C4×C37—24no—
787C2×C4×C37—24no—
788C2×C4×C37—28no—
789C2×C4×C37—24no—
790C2×C4×C37—22no—
791C2×C4×C37—28no—
792C2×C4×C37—24no—
793C2×C4×C37—24no—
794C2×C4×C37—44no—
795C2×C4×C37—42no—
796C2×C4×C37—44no—
797C2×C4×C37—44no—
798C2×C4×C37—44no—
799C2×C4×C37—48no—
800C2×C4×C37—48no—
801C2×C4×C37—42no—
802C2×C4×C37—41no—
803C2×C4×C37—44no—
804C2×C4×C37—42no—
805C2×C4×C37—48no—
806C2×C4×C37—48no—
807C2×C4×C37—48no—
808C2×C4×C37—44no—
809C2×C4×C37H(5,𝔽2)14yes—
810C2×C4×C37C2514yes—
811C2×C4×C37C2512yes—
812C2×C4×C37C2512yes—
813C2×C4×C37C2511yescharacteristic
814C2×C4×C37C2512yes—
815C2×C4×C37C2511yescharacteristic
816C2×C4×C37C2512yes—
817C2×C4×C37C2514yes—
818C2×C4×C37C2512yes—
819C2×C4×C37C2514yes—
820C2×C4×C37C2512yes—
821C2×C4×C37C2511yescharacteristic
822C2×C4×C37C2514yes—
823C2×C4×C37C2512yes—
824C2×C4×C37C2518yes—
825C2×C4×C37C2512yes—
826C2×C4×C37C2511yescharacteristic
827C2×C4×C37C2511yescharacteristic
828C2×C4×C37C2511yescharacteristic
829#62925C3711yesmaximal, characteristic, direct product factor, Sylow
830C22×C37—21no—
831C22×C37—21no—
832C22×C37—22no—
833C22×C37—22no—
834C22×C37—22no—
835C22×C37—24no—
836C22×C37—22no—
837C22×C37—24no—
838C22×C37—24no—
839C22×C37—22no—
840C22×C37—22no—
841C22×C37—22no—
842C22×C37—24no—
843C22×C37—22no—
844C22×C37—22no—
845C22×C37—22no—
846C22×C37—22no—
847C22×C37—24no—
848C22×C37—24no—
849C22×C37—22no—
850C22×C37—48no—
851C22×C37—84no—
852C22×C37—88no—
853C22×C37C2×H(5,𝔽2)12yes—
854C22×C37C2611yescharacteristic
855C4×C37—22no—
856C4×C37—22no—
857C4×C37—22no—
858C4×C37—24no—
859C4×C37—22no—
860C4×C37—28no—
861C4×C37—21no—
862C4×C37—24no—
863C4×C37—22no—
864C4×C37—22no—
865C4×C37—24no—
866C4×C37—21no—
867C4×C37—22no—
868C4×C37—21no—
869C4×C37—22no—
870C4×C37—24no—
871C4×C37C2×H(5,𝔽2)12yes—
872C4×C37C2×H(5,𝔽2)12yes—
873C4×C37#58512yes—
874#3562C2×C3714yescomplemented
875#3554C2×C3714yescomplemented
876#3552C2×C3712yescomplemented
877#3548C2×C3712yescomplemented
878#3547C2×C3712yescomplemented
879#3546C2×C3712yescomplemented
880#3542C2×C3714yescomplemented
881#3541C2×C3714yescomplemented
882#3539C2×C3714yescomplemented
883#3533C2×C3718yescomplemented
884#3520C2×C3712yescomplemented
885#3517C2×C3712yescomplemented
886#3511C2×C3712yescomplemented
887#3509C2×C3711yescharacteristic, complemented
888#3506C2×C3711yescharacteristic, complemented
889#3506C2×C3712yescomplemented
890#3499C2×C3711yescharacteristic, complemented
891#3495C2×C3712yescomplemented
892#3492C2×C3714yescomplemented
893#3489C2×C3712yescomplemented
894#3487C2×C3712yescomplemented
895#3475C2×C3711yescharacteristic, complemented
896D4×#41C2×C3711yescharacteristic, complemented
897C2×#547C2×C3711yescharacteristic, complemented
898#3460C2×C3711yescharacteristic, complemented
899#3449C2×C3712yescomplemented
900C2×C37—22no—
901C2×C37—42no—
902C2×C37—44no—
903C2×C37—42no—
904C2×C37—44no—
905C2×C37—42no—
906C2×C37—42no—
907C2×C37C22×H(5,𝔽2)11yescharacteristic
908C2×C37C2×#58511yescharacteristic
909C2×C372−1+611yescharacteristic
910C2×2−1+4C22×C3712yescomplemented
911C22×#41C22×C3712yes—
912C22×#41C22×C3712yescomplemented
913#563C22×C3718yescomplemented
914#562C22×C3718yescomplemented
915#562C22×C3718yescomplemented
916#562C22×C3718yescomplemented
917#560C22×C3718yescomplemented
918#560C22×C3718yescomplemented
919#559C22×C3718yescomplemented
920#559C22×C3714yescomplemented
921#557C22×C3712yescomplemented
922#557C22×C3712yescomplemented
923#556C22×C3711yescharacteristic, complemented
924#556C22×C3714yescomplemented
925#556C22×C3712yescomplemented
926#556C22×C3712yescomplemented
927#556C22×C3712yescomplemented
928#555C22×C3711yescharacteristic, complemented
929#555C22×C3712yescomplemented
930#555C22×C3714yescomplemented
931#554C22×C3711yescharacteristic, complemented
932#554C22×C3714yescomplemented
933#554C22×C3718yescomplemented
934#554C22×C3714yescomplemented
935#554C22×C3714yescomplemented
936#553C22×C3712yescomplemented
937#553C22×C3714yescomplemented
938#553C22×C3718yescomplemented
939#553C22×C3714yescomplemented
940#553C22×C3714yescomplemented
941#553C22×C3714yescomplemented
942#553C22×C3718yescomplemented
943#553C22×C3718yescomplemented
944#552C22×C3712yescomplemented
945#552C22×C3712yescomplemented
946#552C22×C3718yescomplemented
947#552C22×C3714yescomplemented
948#552C22×C3714yescomplemented
949#552C22×C3714yescomplemented
950#552C22×C3714yescomplemented
951#551C22×C3714yescomplemented
952#551C22×C3718yescomplemented
953#551C22×C3718yescomplemented
954#550C22×C3711yescharacteristic, complemented
955#550C22×C3714yescomplemented
956#550C22×C3714yescomplemented
957#550C22×C3714yescomplemented
958#550C22×C3714yescomplemented
959#550C22×C3712yescomplemented
960#550C22×C3714yescomplemented
961D4×Q8C22×C3711yescharacteristic, complemented
962D4×Q8C22×C3714yescomplemented
963D4×Q8C22×C3712yescomplemented
964D4×Q8C22×C3712yescomplemented
965#548C22×C3712yescomplemented
966#548C22×C3714yescomplemented
967#548C22×C3714yescomplemented
968#548C22×C3714yescomplemented
969#548C22×C3714yescomplemented
970#548C22×C3714yescomplemented
971#547C22×C3712yes—
972#547C22×C3712yes—
973#547C22×C3712yes—
974#547C22×C3712yescomplemented
975#547C22×C3714yescomplemented
976#547C22×C3712yescomplemented
977#547C22×C3714yescomplemented
978#547C22×C3711yescharacteristic, complemented
979#547C22×C3711yescharacteristic, complemented
980#547C22×C3718yescomplemented
981#547C22×C3714yescomplemented
982#547C22×C3714yescomplemented
983#547C22×C3712yescomplemented
984#547C22×C3714yescomplemented
985#547C22×C3712yescomplemented
986#547C22×C3712yescomplemented
987#546C22×C3714yes—
988#546C22×C3712yes—
989#546C22×C3712yescomplemented
990#546C22×C3718yescomplemented
991#546C22×C3714yescomplemented
992#546C22×C3714yescomplemented
993D42C22×C3712yes—
994D42C22×C3711yescharacteristic, complemented
995#544C22×C3711yescharacteristic, complemented
996#544C22×C3714yescomplemented
997#542C22×C3712yescomplemented
998#542C22×C3712yescomplemented
999#542C22×C3714yescomplemented
1000#542C22×C3718yescomplemented
1001#542C22×C3714yescomplemented
1002#542C22×C3718yescomplemented
1003#541C22×C3714yescomplemented
1004#541C22×C3714yescomplemented
1005#540C22×C3712yescomplemented
1006#540C22×C3712yescomplemented
1007#540C22×C3718yescomplemented
1008#540C22×C3714yescomplemented
1009#540C22×C3718yescomplemented
1010#540C22×C3718yescomplemented
1011#539C22×C3718yescomplemented
1012#539C22×C3718yescomplemented
1013#539C22×C3718yescomplemented
1014#539C22×C3718yescomplemented
1015#538C22×C3714yescomplemented
1016#538C22×C3714yescomplemented
1017#538C22×C3718yescomplemented
1018#538C22×C3718yescomplemented
1019#538C22×C3718yescomplemented
1020#537C22×C3711yescharacteristic
1021#537C22×C3714yescomplemented
1022#537C22×C3714yescomplemented
1023#537C22×C3714yescomplemented
1024#537C22×C3714yescomplemented
1025#537C22×C3714yescomplemented
1026#536C22×C3712yes—
1027#536C22×C3712yescomplemented
1028#536C22×C3714yescomplemented
1029#536C22×C3714yescomplemented
1030#536C22×C3714yescomplemented
1031#535C22×C3711yescharacteristic
1032#535C22×C3712yescomplemented
1033#535C22×C3714yescomplemented
1034#535C22×C3711yescharacteristic, complemented
1035#535C22×C3718yescomplemented
1036#535C22×C3714yescomplemented
1037#534C22×C3718yescomplemented
1038#533C22×C3711yescharacteristic, complemented
1039#533C22×C3714yescomplemented
1040#533C22×C3712yescomplemented
1041#533C22×C3712yescomplemented
1042#532C22×C3711yescharacteristic
1043#532C22×C3714yescomplemented
1044#532C22×C3714yescomplemented
1045#532C22×C3712yescomplemented
1046#532C22×C3712yescomplemented
1047#532C22×C3712yescomplemented
1048#532C22×C3712yescomplemented
1049C2×C4⋊Q8C22×C3711yescharacteristic, complemented
1050C2×C4⋊Q8C22×C3712yescomplemented
1051#529C22×C3712yescomplemented
1052#529C22×C3712yescomplemented
1053#529C22×C3712yescomplemented
1054#529C22×C3714yescomplemented
1055#529C22×C3714yescomplemented
1056#525C22×C3712yes—
1057#525C22×C3718yescomplemented
1058#525C22×C3714yescomplemented
1059#525C22×C3714yescomplemented
1060#525C22×C3714yescomplemented
1061#525C22×C3714yescomplemented
1062#525C22×C3712yescomplemented
1063#525C22×C3718yescomplemented
1064#525C22×C3714yescomplemented
1065#525C22×C3714yescomplemented
1066C2×#123C22×C3714yescomplemented
1067C2×C22⋊Q8C22×C3712yescomplemented
1068C2×C22⋊Q8C22×C3714yescomplemented
1069C2×#121C22×C3712yes—
1070#520C22×C3712yescomplemented
1071#520C22×C3714yescomplemented
1072#520C22×C3714yescomplemented
1073#519C22×C3712yescomplemented
1074C4×#41C22×C3711yescharacteristic
1075C4×#41C22×C3711yescharacteristic, complemented
1076C4×#41C22×C3712yescomplemented
1077C2×C4×D4C22×C3711yescharacteristic
1078C2×C4×D4C22×C3711yescharacteristic, complemented
1079C2×C4×D4C22×C3712yescomplemented
1080C2×#117C22×C3712yescomplemented
1081C22×C4⋊C4C22×C3712yescomplemented
1082C37#6292511yescharacteristic, direct product factor, Sylow
10832−1+4—48no—
1084C2×#41—48no—
1085C2×#41—48no—
1086C2×#41C23×C3711yescharacteristic
1087C2×#41C23×C3711yescharacteristic
1088C2×#41C23×C3712yes—
1089C2×#41C23×C3712yes—
1090C2×#41C23×C3714yes—
1091C2×#41C23×C3714yes—
1092C2×#41C23×C3714yes—
1093C2×#41C23×C3714yes—
1094C2×#41C23×C3714yes—
1095C2×#41C23×C3718yes—
1096C2×#41C23×C3714yes—
1097C2×#41C23×C3712yes—
1098C2×#41C23×C3712yes—
1099C2×#41C23×C3714yes—
1100C2×#41C23×C3714yes—
1101C2×#41C23×C3714yes—
1102C2×#41C23×C3714yes—
1103C22×Q8C23×C3712yes—
1104C22×Q8C23×C3714yes—
1105C22×Q8C23×C3714yes—
1106C22×Q8C23×C3712yes—
1107C22×D4C23×C3711yescharacteristic
1108C22×D4C23×C3711yescharacteristic
1109C22×D4C23×C3712yes—
1110C22×D4C23×C3714yes—
1111C22×D4C23×C3714yes—
1112C22×D4C23×C3712yes—
1113C23×C4C23×C3712yes—
1114C23×C4C23×C3712yes—
1115C23×C4C23×C3714yes—
1116C23×C4C23×C3714yes—
1117C4⋊Q8C23×C3711yescharacteristic
1118C4⋊Q8C23×C3712yes—
1119C4⋊Q8C23×C3714yes—
1120C4⋊Q8C23×C3712yes—
1121C4⋊Q8C23×C3712yes—
1122C4⋊Q8C23×C3712yes—
1123C4⋊Q8C23×C3714yes—
1124C4⋊Q8C23×C3714yes—
1125C4⋊Q8C23×C3712yes—
1126C4⋊Q8C23×C3714yes—
1127C4⋊Q8C23×C3712yes—
1128C4⋊Q8C23×C3712yes—
1129C4⋊Q8C23×C3711yescharacteristic
1130C4⋊Q8C23×C3711yescharacteristic
1131C4⋊Q8C23×C3718yes—
1132#127C23×C3711yescharacteristic
1133#127C23×C3712yes—
1134#127C23×C3714yes—
1135#127C23×C3712yes—
1136#127C23×C3712yes—
1137#127C23×C3718yes—
1138#127C23×C3718yes—
1139#126C23×C3714yes—
1140#126C23×C3714yes—
1141#126C23×C3718yes—
1142#126C23×C3714yes—
1143#126C23×C3714yes—
1144#126C23×C3714yes—
1145#126C23×C3718yes—
1146#126C23×C3718yes—
1147#126C23×C3718yes—
1148#126C23×C3718yes—
1149#126C23×C3718yes—
1150#126C23×C3718yes—
1151#125C23×C3712yes—
1152#125C23×C3714yes—
1153#125C23×C3712yes—
1154#125C23×C3712yes—
1155#125C23×C3718yes—
1156#125C23×C3714yes—
1157#125C23×C3714yes—
1158#125C23×C3712yes—
1159#125C23×C3718yes—
1160#125C23×C3718yes—
1161#125C23×C3718yes—
1162#125C23×C3718yes—
1163#124C23×C3712yes—
1164#124C23×C3714yes—
1165#124C23×C3712yes—
1166#124C23×C3714yes—
1167#124C23×C3712yes—
1168#124C23×C3712yes—
1169#124C23×C3714yes—
1170#124C23×C3714yes—
1171#124C23×C3714yes—
1172#124C23×C3714yes—
1173#124C23×C3714yes—
1174#124C23×C3718yes—
1175#124C23×C3718yes—
1176#124C23×C3718yes—
1177#124C23×C3718yes—
1178#124C23×C3718yes—
1179#123C23×C3718yes—
1180#123C23×C3718yes—
1181#123C23×C3718yes—
1182#123C23×C3718yes—
1183#123C23×C3714yes—
1184#123C23×C3714yes—
1185#123C23×C3718yes—
1186#123C23×C3718yes—
1187#123C23×C3718yes—
1188#123C23×C3718yes—
1189#123C23×C3714yes—
1190#123C23×C3714yes—
1191#123C23×C3714yes—
1192#123C23×C3718yes—
1193#123C23×C3718yes—
1194#123C23×C3714yes—
1195#123C23×C3714yes—
1196#123C23×C3714yes—
1197#123C23×C3714yes—
1198#123C23×C3714yes—
1199#123C23×C3714yes—
1200#123C23×C3718yes—
1201#123C23×C3718yes—
1202#123C23×C3718yes—
1203#123C23×C3718yes—
1204#123C23×C3718yes—
1205#123C23×C3718yes—
1206#123C23×C3718yes—
1207C22⋊Q8C23×C3714yes—
1208C22⋊Q8C23×C3712yes—
1209C22⋊Q8C23×C3712yes—
1210C22⋊Q8C23×C3714yes—
1211C22⋊Q8C23×C3714yes—
1212C22⋊Q8C23×C3714yes—
1213C22⋊Q8C23×C3718yes—
1214C22⋊Q8C23×C3718yes—
1215C22⋊Q8C23×C3714yes—
1216C22⋊Q8C23×C3712yes—
1217C22⋊Q8C23×C3712yes—
1218C22⋊Q8C23×C3714yes—
1219C22⋊Q8C23×C3712yes—
1220C22⋊Q8C23×C3712yes—
1221C22⋊Q8C23×C3718yes—
1222C22⋊Q8C23×C3714yes—
1223C22⋊Q8C23×C3714yes—
1224C22⋊Q8C23×C3718yes—
1225C22⋊Q8C23×C3714yes—
1226C22⋊Q8C23×C3714yes—
1227C22⋊Q8C23×C3714yes—
1228C22⋊Q8C23×C3714yes—
1229C22⋊Q8C23×C3718yes—
1230C22⋊Q8C23×C3718yes—
1231C22⋊Q8C23×C3714yes—
1232C22⋊Q8C23×C3712yes—
1233C22⋊Q8C23×C3712yes—
1234C22⋊Q8C23×C3714yes—
1235C22⋊Q8C23×C3714yes—
1236C22⋊Q8C23×C3718yes—
1237C22⋊Q8C23×C3712yes—
1238C22⋊Q8C23×C3714yes—
1239C22⋊Q8C23×C3718yes—
1240C22⋊Q8C23×C3718yes—
1241C22⋊Q8C23×C3718yes—
1242C22⋊Q8C23×C3718yes—
1243#121C23×C3714yes—
1244#121C23×C3714yes—
1245#121C23×C3718yes—
1246#121C23×C3712yes—
1247#121C23×C3712yes—
1248#121C23×C3712yes—
1249#121C23×C3712yes—
1250#121C23×C3712yes—
1251#121C23×C3712yes—
1252#121C23×C3712yes—
1253#121C23×C3718yes—
1254#121C23×C3714yes—
1255#121C23×C3714yes—
1256#121C23×C3718yes—
1257#121C23×C3714yes—
1258#121C23×C3714yes—
1259#121C23×C3712yes—
1260#121C23×C3718yes—
1261#121C23×C3718yes—
1262#121C23×C3714yes—
1263#121C23×C3714yes—
1264#121C23×C3714yes—
1265#121C23×C3712yes—
1266#121C23×C3712yes—
1267#121C23×C3714yes—
1268#121C23×C3712yes—
1269#121C23×C3718yes—
1270#121C23×C3718yes—
1271#121C23×C3718yes—
1272#121C23×C3718yes—
1273#121C23×C3714yes—
1274#121C23×C3712yes—
1275#121C23×C3712yes—
1276#121C23×C3712yes—
1277#121C23×C3712yes—
1278#121C23×C3714yes—
1279#121C23×C3714yes—
1280#121C23×C3714yes—
1281#121C23×C3714yes—
1282#121C23×C3718yes—
1283#121C23×C3718yes—
1284#121C23×C3718yes—
1285#121C23×C3718yes—
1286#121C23×C3718yes—
1287#121C23×C3718yes—
1288#121C23×C3718yes—
1289#121C23×C3718yes—
1290#120C23×C3714yes—
1291#120C23×C3714yes—
1292#120C23×C3718yes—
1293#120C23×C3714yes—
1294#120C23×C3718yes—
1295#120C23×C3718yes—
1296#120C23×C3714yes—
1297#120C23×C3718yes—
1298#120C23×C3714yes—
1299#120C23×C3714yes—
1300C4×Q8C23×C3711yescharacteristic
1301C4×Q8C23×C3711yescharacteristic
1302C4×Q8C23×C3712yes—
1303C4×Q8C23×C3711yescharacteristic
1304C4×Q8C23×C3712yes—
1305C4×Q8C23×C3711yescharacteristic
1306C4×Q8C23×C3714yes—
1307C4×Q8C23×C3714yes—
1308C4×Q8C23×C3714yes—
1309C4×Q8C23×C3714yes—
1310C4×Q8C23×C3714yes—
1311C4×Q8C23×C3714yes—
1312C4×Q8C23×C3718yes—
1313C4×Q8C23×C3712yes—
1314C4×Q8C23×C3714yes—
1315C4×D4C23×C3711yescharacteristic
1316C4×D4C23×C3711yescharacteristic
1317C4×D4C23×C3712yes—
1318C4×D4C23×C3711yescharacteristic
1319C4×D4C23×C3712yes—
1320C4×D4C23×C3711yescharacteristic
1321C4×D4C23×C3712yes—
1322C4×D4C23×C3714yes—
1323C4×D4C23×C3712yes—
1324C4×D4C23×C3712yes—
1325C4×D4C23×C3712yes—
1326C4×D4C23×C3714yes—
1327C4×D4C23×C3712yes—
1328C4×D4C23×C3712yes—
1329C4×D4C23×C3712yes—
1330C4×D4C23×C3712yes—
1331C4×D4C23×C3711yescharacteristic
1332C4×D4C23×C3712yes—
1333C4×D4C23×C3711yescharacteristic
1334C4×D4C23×C3712yes—
1335C4×D4C23×C3714yes—
1336C4×D4C23×C3711yescharacteristic
1337C4×D4C23×C3712yes—
1338C4×D4C23×C3712yes—
1339C4×D4C23×C3711yescharacteristic
1340C4×D4C23×C3714yes—
1341C4×D4C23×C3718yes—
1342C4×D4C23×C3718yes—
1343C4×D4C23×C3718yes—
1344C4×D4C23×C3718yes—
1345C4×D4C23×C3718yes—
1346C4×D4C23×C3718yes—
1347C4×D4C23×C3714yes—
1348C4×D4C23×C3714yes—
1349C4×D4C23×C3714yes—
1350C4×D4C23×C3712yes—
1351C4×D4C23×C3718yes—
1352C4×D4C23×C3718yes—
1353C4×D4C23×C3714yes—
1354C4×D4C23×C3714yes—
1355C4×D4C23×C3714yes—
1356C4×D4C23×C3718yes—
1357C4×D4C23×C3718yes—
1358C4×D4C23×C3718yes—
1359C4×D4C23×C3718yes—
1360C4×D4C23×C3718yes—
1361C4×D4C23×C3714yes—
1362#117C23×C3711yescharacteristic
1363#117C23×C3712yes—
1364#117C23×C3714yes—
1365#117C23×C3712yes—
1366#117C23×C3712yes—
1367#117C23×C3714yes—
1368#117C23×C3711yescharacteristic
1369#117C23×C3712yes—
1370#117C23×C3712yes—
1371#117C23×C3712yes—
1372#117C23×C3714yes—
1373#117C23×C3718yes—
1374#117C23×C3714yes—
1375#117C23×C3714yes—
1376#117C23×C3714yes—
1377#117C23×C3718yes—
1378#117C23×C3714yes—
1379#117C23×C3714yes—
1380#117C23×C3718yes—
1381C2×C4⋊C4C23×C3711yescharacteristic
1382C2×C4⋊C4C23×C3714yes—
1383C2×C4⋊C4C23×C3712yes—
1384C2×C4⋊C4C23×C3714yes—
1385C2×C4⋊C4C23×C3714yes—
1386C2×C4⋊C4C23×C3718yes—
1387C2×C4⋊C4C23×C3712yes—
1388C2×C4⋊C4C23×C3712yes—
1389C2×C4⋊C4C23×C3711yescharacteristic
1390C2×C4⋊C4C23×C3712yes—
1391C2×C4⋊C4C23×C3714yes—
1392C2×C4⋊C4C23×C3718yes—
1393C2×C4⋊C4C23×C3714yes—
1394C2×C4⋊C4C23×C3712yes—
1395C2×C4⋊C4C23×C3714yes—
1396C2×C22⋊C4C23×C3714yes—
1397C2×C22⋊C4C23×C3712yes—
1398C2×C22⋊C4C23×C3712yes—
1399C2×C22⋊C4C23×C3714yes—
1400C2×C22⋊C4C23×C3714yes—
1401C2×C22⋊C4C23×C3718yes—
1402C2×C42C23×C3714yes—
1403C2×C42C23×C3711yescharacteristic
1404C2×C42C23×C3712yes—
1405C2×C42C23×C3712yes—
1406C24C24×C3712yes—
1407C24C24×C3712yes—
1408C24C24×C3714yes—
1409#41—24no—
1410#41—28no—
1411#41—24no—
1412#41—48no—
1413#41—48no—
1414#41—48no—
1415#41—416no—
1416#41—48no—
1417#41—48no—
1418#41—48no—
1419#41—48no—
1420#41—44no—
1421#41—44no—
1422#41—48no—
1423#41—44no—
1424#41—48no—
1425#41—48no—
1426C2×Q8—28no—
1427C2×Q8—44no—
1428C2×Q8—48no—
1429C2×Q8—48no—
1430C2×Q8C24×C3712yes—
1431C2×Q8C24×C3711yescharacteristic
1432C2×Q8C24×C3714yes—
1433C2×Q8C24×C3712yes—
1434C2×Q8C24×C3714yes—
1435C2×Q8C24×C3711yescharacteristic
1436C2×Q8C24×C3712yes—
1437C2×Q8C24×C3714yes—
1438C2×Q8C24×C3714yes—
1439C2×Q8C24×C3718yes—
1440C2×D4—24no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—48no—
1445C2×D4—48no—
1446C2×D4C24×C3711yescharacteristic
1447C2×D4C24×C3711yescharacteristic
1448C2×D4C24×C3712yes—
1449C2×D4C24×C3712yes—
1450C2×D4C24×C3714yes—
1451C2×D4C24×C3712yes—
1452C2×D4C24×C3712yes—
1453C2×D4C24×C3711yescharacteristic
1454C2×D4C24×C3711yescharacteristic
1455C2×D4C24×C3712yes—
1456C2×D4C24×C3712yes—
1457C2×D4C24×C3714yes—
1458C2×D4C24×C3714yes—
1459C2×D4C24×C3712yes—
1460C2×D4C24×C3718yes—
1461C2×D4C24×C3714yes—
1462C2×D4C24×C3714yes—
1463C2×D4C24×C3714yes—
1464C2×D4C24×C3714yes—
1465C2×D4C24×C3712yes—
1466C2×D4C24×C3718yes—
1467C2×D4C24×C3714yes—
1468C2×D4C24×C3714yes—
1469C2×D4C24×C3714yes—
1470C2×D4C24×C3718yes—
1471C2×D4C24×C3714yes—
1472C2×D4C24×C3714yes—
1473C2×D4C24×C3718yes—
1474C2×D4C24×C3718yes—
1475C2×D4C24×C3714yes—
1476C22×C4—28no—
1477C22×C4—44no—
1478C22×C4—48no—
1479C22×C4—48no—
1480C22×C4C24×C3712yes—
1481C22×C4C24×C3711yescharacteristic
1482C22×C4C24×C3712yes—
1483C22×C4C24×C3712yes—
1484C22×C4C24×C3712yes—
1485C22×C4C24×C3712yes—
1486C22×C4C24×C3712yes—
1487C22×C4C24×C3714yes—
1488C22×C4C24×C3714yes—
1489C22×C4C24×C3712yes—
1490C22×C4C24×C3714yes—
1491C22×C4C24×C3712yes—
1492C22×C4C24×C3712yes—
1493C22×C4C24×C3711yescharacteristic
1494C22×C4C24×C3712yes—
1495C22×C4C24×C3714yes—
1496C22×C4C24×C3714yes—
1497C22×C4C24×C3712yes—
1498C22×C4C24×C3712yes—
1499C22×C4C24×C3718yes—
1500C22×C4C24×C3714yes—
1501C22×C4C24×C3718yes—
1502C22×C4C24×C3718yes—
1503C22×C4C24×C3714yes—
1504C22×C4C24×C3714yes—
1505C22×C4C24×C3718yes—
1506C22×C4C24×C3718yes—
1507C22×C4C24×C3714yes—
1508C22×C4C24×C3711yescharacteristic
1509C4⋊C4C24×C3711yescharacteristic
1510C4⋊C4C24×C3711yescharacteristic
1511C4⋊C4C24×C3712yes—
1512C4⋊C4C24×C3714yes—
1513C4⋊C4C24×C3718yes—
1514C4⋊C4C24×C3712yes—
1515C4⋊C4C24×C3712yes—
1516C4⋊C4C24×C3712yes—
1517C4⋊C4C24×C3714yes—
1518C4⋊C4C24×C3718yes—
1519C4⋊C4C24×C3711yescharacteristic
1520C4⋊C4C24×C3711yescharacteristic
1521C4⋊C4C24×C3714yes—
1522C4⋊C4C24×C3714yes—
1523C4⋊C4C24×C3712yes—
1524C4⋊C4C24×C3714yes—
1525C4⋊C4C24×C3712yes—
1526C4⋊C4C24×C3714yes—
1527C4⋊C4C24×C3714yes—
1528C4⋊C4C24×C3718yes—
1529C4⋊C4C24×C3714yes—
1530C4⋊C4C24×C3712yes—
1531C4⋊C4C24×C3714yes—
1532C4⋊C4C24×C3718yes—
1533C4⋊C4C24×C3718yes—
1534C4⋊C4C24×C3718yes—
1535C4⋊C4C24×C3712yes—
1536C4⋊C4C24×C3714yes—
1537C4⋊C4C24×C3714yes—
1538C4⋊C4C24×C3712yes—
1539C4⋊C4C24×C3711yescharacteristic
1540C4⋊C4C24×C3711yescharacteristic
1541C4⋊C4C24×C3712yes—
1542C4⋊C4C24×C3712yes—
1543C4⋊C4C24×C3714yes—
1544C4⋊C4C24×C3712yes—
1545C4⋊C4C24×C3712yes—
1546C4⋊C4C24×C3718yes—
1547C4⋊C4C24×C3718yes—
1548C4⋊C4C24×C3714yes—
1549C4⋊C4C24×C3714yes—
1550C4⋊C4C24×C3714yes—
1551C4⋊C4C24×C3718yes—
1552C4⋊C4C24×C3714yes—
1553C22⋊C4C24×C3712yes—
1554C22⋊C4C24×C3712yes—
1555C22⋊C4C24×C3718yes—
1556C22⋊C4C24×C3714yes—
1557C22⋊C4C24×C3714yes—
1558C22⋊C4C24×C3714yes—
1559C22⋊C4C24×C3714yes—
1560C22⋊C4C24×C3712yes—
1561C22⋊C4C24×C3714yes—
1562C22⋊C4C24×C3714yes—
1563C22⋊C4C24×C3718yes—
1564C22⋊C4C24×C3718yes—
1565C22⋊C4C24×C3714yes—
1566C22⋊C4C24×C3712yes—
1567C22⋊C4C24×C3714yes—
1568C22⋊C4C24×C3712yes—
1569C22⋊C4C24×C3714yes—
1570C22⋊C4C24×C3714yes—
1571C22⋊C4C24×C3712yes—
1572C22⋊C4C24×C3714yes—
1573C22⋊C4C24×C3714yes—
1574C22⋊C4C24×C3718yes—
1575C22⋊C4C24×C3712yes—
1576C22⋊C4C24×C3712yes—
1577C22⋊C4C24×C3714yes—
1578C22⋊C4C24×C3718yes—
1579C22⋊C4C24×C3718yes—
1580C22⋊C4C24×C3714yes—
1581C22⋊C4C24×C3714yes—
1582C22⋊C4C24×C3718yes—
1583C22⋊C4C24×C3712yes—
1584C22⋊C4C24×C3712yes—
1585C22⋊C4C24×C3714yes—
1586C22⋊C4C24×C3714yes—
1587C22⋊C4C24×C3718yes—
1588C22⋊C4C24×C3718yes—
1589C22⋊C4C24×C3714yes—
1590C22⋊C4C24×C3714yes—
1591C22⋊C4C24×C3714yes—
1592C22⋊C4C24×C3714yes—
1593C42C24×C3712yes—
1594C42C24×C3711yescharacteristic
1595C42C24×C3711yescharacteristic
1596C42C24×C3714yes—
1597C42C24×C3714yes—
1598C42C24×C3711yescharacteristic
1599C42C24×C3712yes—
1600C42C24×C3711yescharacteristic
1601C42C24×C3712yes—
1602C42C24×C3712yes—
1603C42C24×C3714yes—
1604C42C24×C3712yes—
1605C42C24×C3712yes—
1606C42C24×C3718yes—
1607C42C24×C3718yes—
1608C42C24×C3718yes—
1609C23—24no—
1610C23—24no—
1611C23—42no—
1612C23—42no—
1613C23—44no—
1614C23—42no—
1615C23—44no—
1616C23—42no—
1617C23—44no—
1618C23C25×C3712yes—
1619C23C25×C3712yes—
1620C23C25×C3712yes—
1621C23C25×C3714yes—
1622C23C25×C3714yes—
1623C23C25×C3712yes—
1624C23C25×C3711yescharacteristic
1625Q8—28no—
1626Q8—28no—
1627Q8—22no—
1628Q8—24no—
1629Q8—22no—
1630Q8—24no—
1631Q8—48no—
1632Q8—44no—
1633Q8—44no—
1634Q8—42no—
1635D4—24no—
1636D4—28no—
1637D4—24no—
1638D4—24no—
1639D4—24no—
1640D4—22no—
1641D4—24no—
1642D4—22no—
1643D4—22no—
1644D4—22no—
1645D4—24no—
1646D4—44no—
1647D4—44no—
1648D4—44no—
1649D4—48no—
1650D4—48no—
1651D4—42no—
1652D4—44no—
1653D4—48no—
1654D4—44no—
1655D4—44no—
1656D4—44no—
1657D4—48no—
1658D4—44no—
1659D4—44no—
1660D4—42no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—48no—
1665C2×C4—24no—
1666C2×C4—28no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—28no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—28no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—42no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—42no—
1690C2×C4—41no—
1691C2×C4—44no—
1692C2×C4—42no—
1693C2×C4H(5,𝔽2)×C3714yes—
1694C2×C4C25×C3714yes—
1695C2×C4C25×C3712yes—
1696C2×C4C25×C3712yes—
1697C2×C4C25×C3711yescharacteristic
1698C2×C4C25×C3712yes—
1699C2×C4C25×C3711yescharacteristic
1700C2×C4C25×C3712yes—
1701C2×C4C25×C3714yes—
1702C2×C4C25×C3712yes—
1703C2×C4C25×C3714yes—
1704C2×C4C25×C3712yes—
1705C2×C4C25×C3711yescharacteristic
1706C2×C4C25×C3714yes—
1707C2×C4C25×C3712yes—
1708C2×C4C25×C3718yes—
1709C2×C4C25×C3712yes—
1710C2×C4C25×C3711yescharacteristic
1711C2×C4C25×C3711yescharacteristic
1712C2×C4C25×C3711yescharacteristic
1713C22—21no—
1714C22—21no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—24no—
1719C22—22no—
1720C22—24no—
1721C22—24no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—24no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—24no—
1731C22—24no—
1732C22—22no—
1733C22—48no—
1734C22—84no—
1735C22—88no—
1736C22C2×H(5,𝔽2)×C3712yes—
1737C22C26×C3711yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—24no—
1742C4—22no—
1743C4—28no—
1744C4—21no—
1745C4—24no—
1746C4—22no—
1747C4—22no—
1748C4—24no—
1749C4—21no—
1750C4—22no—
1751C4—21no—
1752C4—22no—
1753C4—24no—
1754C4C2×H(5,𝔽2)×C3712yes—
1755C4C2×H(5,𝔽2)×C3712yes—
1756C4C37×#58512yes—
1757C2—22no—
1758C2—44no—
1759C2—42no—
1760C2—42no—
1761C2—42no—
1762C2—44no—
1763C2—42no—
1764C2C22×H(5,𝔽2)×C3711yescharacteristic
1765C2C2×C37×#58511yescharacteristic
1766C2C37×2−1+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×#3554C2semidirect
3. C37×#3552C2semidirect
4. C37×#3548C2semidirect
5. C37×#3547C2semidirect
6. C37×#3546C2semidirect
7. C37×#3542C2semidirect
8. C37×#3541C2semidirect
9. C37×#3539C2semidirect
10. C37×#3533C2semidirect
11. C37×#3520C2semidirect
12. C37×#3517C2semidirect
13. C37×#3511C2semidirect
14. C37×#3509C2semidirect
15. C37×#3506C2semidirect
16. C37×#3506C2semidirect
17. C37×#3499C2semidirect
18. C37×#3495C2semidirect
19. C37×#3492C2semidirect
20. C37×#3489C2semidirect
21. C37×#3487C2semidirect
22. C37×#3475C2semidirect
23. D4×#41×C37C2semidirect
24. C2×C37×#547C2semidirect
25. C37×#3460C2semidirect
26. C37×#3449C2semidirect
27. C2×2−1+4×C37C22semidirect
29. C22×#41×C37C22semidirect
30. C37×#563C22semidirect
31. C37×#562C22semidirect
32. C37×#562C22semidirect
33. C37×#562C22semidirect
34. C37×#560C22semidirect
35. C37×#560C22semidirect
36. C37×#559C22semidirect
37. C37×#559C22semidirect
38. C37×#557C22semidirect
39. C37×#557C22semidirect
40. C37×#556C22semidirect
41. C37×#556C22semidirect
42. C37×#556C22semidirect
43. C37×#556C22semidirect
44. C37×#556C22semidirect
45. C37×#555C22semidirect
46. C37×#555C22semidirect
47. C37×#555C22semidirect
48. C37×#554C22semidirect
49. C37×#554C22semidirect
50. C37×#554C22semidirect
51. C37×#554C22semidirect
52. C37×#554C22semidirect
53. C37×#553C22semidirect
54. C37×#553C22semidirect
55. C37×#553C22semidirect
56. C37×#553C22semidirect
57. C37×#553C22semidirect
58. C37×#553C22semidirect
59. C37×#553C22semidirect
60. C37×#553C22semidirect
61. C37×#552C22semidirect
62. C37×#552C22semidirect
63. C37×#552C22semidirect
64. C37×#552C22semidirect
65. C37×#552C22semidirect
66. C37×#552C22semidirect
67. C37×#552C22semidirect
68. C37×#551C22semidirect
69. C37×#551C22semidirect
70. C37×#551C22semidirect
71. C37×#550C22semidirect
72. C37×#550C22semidirect
73. C37×#550C22semidirect
74. C37×#550C22semidirect
75. C37×#550C22semidirect
76. C37×#550C22semidirect
77. C37×#550C22semidirect
78. D4×Q8×C37C22semidirect
79. D4×Q8×C37C22semidirect
80. D4×Q8×C37C22semidirect
81. D4×Q8×C37C22semidirect
82. C37×#548C22semidirect
83. C37×#548C22semidirect
84. C37×#548C22semidirect
85. C37×#548C22semidirect
86. C37×#548C22semidirect
87. C37×#548C22semidirect
91. C37×#547C22semidirect
92. C37×#547C22semidirect
93. C37×#547C22semidirect
94. C37×#547C22semidirect
95. C37×#547C22semidirect
96. C37×#547C22semidirect
97. C37×#547C22semidirect
98. C37×#547C22semidirect
99. C37×#547C22semidirect
100. C37×#547C22semidirect
101. C37×#547C22semidirect
102. C37×#547C22semidirect
103. C37×#547C22semidirect
106. C37×#546C22semidirect
107. C37×#546C22semidirect
108. C37×#546C22semidirect
109. C37×#546C22semidirect
111. D42×C37C22semidirect
112. C37×#544C22semidirect
113. C37×#544C22semidirect
114. C37×#542C22semidirect
115. C37×#542C22semidirect
116. C37×#542C22semidirect
117. C37×#542C22semidirect
118. C37×#542C22semidirect
119. C37×#542C22semidirect
120. C37×#541C22semidirect
121. C37×#541C22semidirect
122. C37×#540C22semidirect
123. C37×#540C22semidirect
124. C37×#540C22semidirect
125. C37×#540C22semidirect
126. C37×#540C22semidirect
127. C37×#540C22semidirect
128. C37×#539C22semidirect
129. C37×#539C22semidirect
130. C37×#539C22semidirect
131. C37×#539C22semidirect
132. C37×#538C22semidirect
133. C37×#538C22semidirect
134. C37×#538C22semidirect
135. C37×#538C22semidirect
136. C37×#538C22semidirect
138. C37×#537C22semidirect
139. C37×#537C22semidirect
140. C37×#537C22semidirect
141. C37×#537C22semidirect
142. C37×#537C22semidirect
144. C37×#536C22semidirect
145. C37×#536C22semidirect
146. C37×#536C22semidirect
147. C37×#536C22semidirect
149. C37×#535C22semidirect
150. C37×#535C22semidirect
151. C37×#535C22semidirect
152. C37×#535C22semidirect
153. C37×#535C22semidirect
154. C37×#534C22semidirect
155. C37×#533C22semidirect
156. C37×#533C22semidirect
157. C37×#533C22semidirect
158. C37×#533C22semidirect
160. C37×#532C22semidirect
161. C37×#532C22semidirect
162. C37×#532C22semidirect
163. C37×#532C22semidirect
164. C37×#532C22semidirect
165. C37×#532C22semidirect
166. C2×C4⋊Q8×C37C22semidirect
167. C2×C4⋊Q8×C37C22semidirect
168. C37×#529C22semidirect
169. C37×#529C22semidirect
170. C37×#529C22semidirect
171. C37×#529C22semidirect
172. C37×#529C22semidirect
174. C37×#525C22semidirect
175. C37×#525C22semidirect
176. C37×#525C22semidirect
177. C37×#525C22semidirect
178. C37×#525C22semidirect
179. C37×#525C22semidirect
180. C37×#525C22semidirect
181. C37×#525C22semidirect
182. C37×#525C22semidirect
183. C2×#123×C37C22semidirect
184. C2×C22⋊Q8×C37C22semidirect
185. C2×C22⋊Q8×C37C22semidirect
187. C37×#520C22semidirect
188. C37×#520C22semidirect
189. C37×#520C22semidirect
190. C37×#519C22semidirect
192. C4×#41×C37C22semidirect
193. C4×#41×C37C22semidirect
195. C2×C4×D4×C37C22semidirect
196. C2×C4×D4×C37C22semidirect
197. C2×#117×C37C22semidirect
198. C22×C4⋊C4×C37C22semidirect
829. #62925C37direct (N × H)
874. #3562C2×C37semidirect
875. #3554C2×C37semidirect
876. #3552C2×C37semidirect
877. #3548C2×C37semidirect
878. #3547C2×C37semidirect
879. #3546C2×C37semidirect
880. #3542C2×C37semidirect
881. #3541C2×C37semidirect
882. #3539C2×C37semidirect
883. #3533C2×C37semidirect
884. #3520C2×C37semidirect
885. #3517C2×C37semidirect
886. #3511C2×C37semidirect
887. #3509C2×C37semidirect
888. #3506C2×C37semidirect
889. #3506C2×C37semidirect
890. #3499C2×C37semidirect
891. #3495C2×C37semidirect
892. #3492C2×C37semidirect
893. #3489C2×C37semidirect
894. #3487C2×C37semidirect
895. #3475C2×C37semidirect
896. D4×#41C2×C37semidirect
897. C2×#547C2×C37semidirect
898. #3460C2×C37semidirect
899. #3449C2×C37semidirect
910. C2×2−1+4C22×C37semidirect
912. C22×#41C22×C37semidirect
913. #563C22×C37semidirect
914. #562C22×C37semidirect
915. #562C22×C37semidirect
916. #562C22×C37semidirect
917. #560C22×C37semidirect
918. #560C22×C37semidirect
919. #559C22×C37semidirect
920. #559C22×C37semidirect
921. #557C22×C37semidirect
922. #557C22×C37semidirect
923. #556C22×C37semidirect
924. #556C22×C37semidirect
925. #556C22×C37semidirect
926. #556C22×C37semidirect
927. #556C22×C37semidirect
928. #555C22×C37semidirect
929. #555C22×C37semidirect
930. #555C22×C37semidirect
931. #554C22×C37semidirect
932. #554C22×C37semidirect
933. #554C22×C37semidirect
934. #554C22×C37semidirect
935. #554C22×C37semidirect
936. #553C22×C37semidirect
937. #553C22×C37semidirect
938. #553C22×C37semidirect
939. #553C22×C37semidirect
940. #553C22×C37semidirect
941. #553C22×C37semidirect
942. #553C22×C37semidirect
943. #553C22×C37semidirect
944. #552C22×C37semidirect
945. #552C22×C37semidirect
946. #552C22×C37semidirect
947. #552C22×C37semidirect
948. #552C22×C37semidirect
949. #552C22×C37semidirect
950. #552C22×C37semidirect
951. #551C22×C37semidirect
952. #551C22×C37semidirect
953. #551C22×C37semidirect
954. #550C22×C37semidirect
955. #550C22×C37semidirect
956. #550C22×C37semidirect
957. #550C22×C37semidirect
958. #550C22×C37semidirect
959. #550C22×C37semidirect
960. #550C22×C37semidirect
961. D4×Q8C22×C37semidirect
962. D4×Q8C22×C37semidirect
963. D4×Q8C22×C37semidirect
964. D4×Q8C22×C37semidirect
965. #548C22×C37semidirect
966. #548C22×C37semidirect
967. #548C22×C37semidirect
968. #548C22×C37semidirect
969. #548C22×C37semidirect
970. #548C22×C37semidirect
974. #547C22×C37semidirect
975. #547C22×C37semidirect
976. #547C22×C37semidirect
977. #547C22×C37semidirect
978. #547C22×C37semidirect
979. #547C22×C37semidirect
980. #547C22×C37semidirect
981. #547C22×C37semidirect
982. #547C22×C37semidirect
983. #547C22×C37semidirect
984. #547C22×C37semidirect
985. #547C22×C37semidirect
986. #547C22×C37semidirect
989. #546C22×C37semidirect
990. #546C22×C37semidirect
991. #546C22×C37semidirect
992. #546C22×C37semidirect
994. D42C22×C37semidirect
995. #544C22×C37semidirect
996. #544C22×C37semidirect
997. #542C22×C37semidirect
998. #542C22×C37semidirect
999. #542C22×C37semidirect
1000. #542C22×C37semidirect
1001. #542C22×C37semidirect
1002. #542C22×C37semidirect
1003. #541C22×C37semidirect
1004. #541C22×C37semidirect
1005. #540C22×C37semidirect
1006. #540C22×C37semidirect
1007. #540C22×C37semidirect
1008. #540C22×C37semidirect
1009. #540C22×C37semidirect
1010. #540C22×C37semidirect
1011. #539C22×C37semidirect
1012. #539C22×C37semidirect
1013. #539C22×C37semidirect
1014. #539C22×C37semidirect
1015. #538C22×C37semidirect
1016. #538C22×C37semidirect
1017. #538C22×C37semidirect
1018. #538C22×C37semidirect
1019. #538C22×C37semidirect
1021. #537C22×C37semidirect
1022. #537C22×C37semidirect
1023. #537C22×C37semidirect
1024. #537C22×C37semidirect
1025. #537C22×C37semidirect
1027. #536C22×C37semidirect
1028. #536C22×C37semidirect
1029. #536C22×C37semidirect
1030. #536C22×C37semidirect
1032. #535C22×C37semidirect
1033. #535C22×C37semidirect
1034. #535C22×C37semidirect
1035. #535C22×C37semidirect
1036. #535C22×C37semidirect
1037. #534C22×C37semidirect
1038. #533C22×C37semidirect
1039. #533C22×C37semidirect
1040. #533C22×C37semidirect
1041. #533C22×C37semidirect
1043. #532C22×C37semidirect
1044. #532C22×C37semidirect
1045. #532C22×C37semidirect
1046. #532C22×C37semidirect
1047. #532C22×C37semidirect
1048. #532C22×C37semidirect
1049. C2×C4⋊Q8C22×C37semidirect
1050. C2×C4⋊Q8C22×C37semidirect
1051. #529C22×C37semidirect
1052. #529C22×C37semidirect
1053. #529C22×C37semidirect
1054. #529C22×C37semidirect
1055. #529C22×C37semidirect
1057. #525C22×C37semidirect
1058. #525C22×C37semidirect
1059. #525C22×C37semidirect
1060. #525C22×C37semidirect
1061. #525C22×C37semidirect
1062. #525C22×C37semidirect
1063. #525C22×C37semidirect
1064. #525C22×C37semidirect
1065. #525C22×C37semidirect
1066. C2×#123C22×C37semidirect
1067. C2×C22⋊Q8C22×C37semidirect
1068. C2×C22⋊Q8C22×C37semidirect
1070. #520C22×C37semidirect
1071. #520C22×C37semidirect
1072. #520C22×C37semidirect
1073. #519C22×C37semidirect
1075. C4×#41C22×C37semidirect
1076. C4×#41C22×C37semidirect
1078. C2×C4×D4C22×C37semidirect
1079. C2×C4×D4C22×C37semidirect
1080. C2×#117C22×C37semidirect
1081. C22×C4⋊C4C22×C37semidirect
1082. C37#62925direct (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×#35542
C37×#35522
C37×#35482
C37×#35472
C37×#35462
C37×#35422
C37×#35412
C37×#35392
C37×#35332
C37×#35202
C37×#35172
C37×#35112
C37×#35092
C37×#35062
C37×#34992
C37×#34952
C37×#34922
C37×#34892
C37×#34872
C37×#34752
D4×#41×C372
C2×C37×#5472
C37×#34602
C37×#34492
#6292537