Finite Group Databasebeta

← C37×#62955 #22684208

Subgroups — C37×#62955 #22684208

Order 9472.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C214yesmaximal, complemented
2C37×#3554C212yesmaximal, complemented
3C37×#3548C212yesmaximal, complemented
4C37×#3546C212yesmaximal, complemented
5C37×#3546C214yesmaximal, complemented
6C37×#3543C214yesmaximal, complemented
7C37×#3543C212yesmaximal, complemented
8C37×#3542C214yesmaximal, complemented
9C37×#3539C214yesmaximal, complemented
10C37×#3534C218yesmaximal, complemented
11C37×#3519C212yesmaximal, complemented
12C37×#3517C212yesmaximal, complemented
13C37×#3513C214yesmaximal, complemented
14C37×#3508C211yesmaximal, characteristic, complemented
15C37×#3508C212yesmaximal, complemented
16C37×#3507C211yesmaximal, characteristic, complemented
17C37×#3506C212yesmaximal, complemented
18C37×#3498C211yesmaximal, characteristic, complemented
19C37×#3494C212yesmaximal, complemented
20C37×#3488C212yesmaximal, complemented
21C37×#3485C212yesmaximal, complemented
22C37×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C37C211yesmaximal, characteristic, complemented
24C2×C37×#550C211yesmaximal, characteristic, complemented
25C37×#3461C211yesmaximal, characteristic, complemented
26C37×#3449C212yesmaximal, complemented
27C2×H(5,𝔽2)×C37C2212yescomplemented
28C22×#41×C37C2212yescomplemented
29C22×#41×C37C2212yescomplemented
30C37×#562C2218yescomplemented
31C37×#562C2218yescomplemented
32C37×#560C2218yescomplemented
33C37×#560C2218yescomplemented
34C37×#560C2218yescomplemented
35C37×#560C2218yescomplemented
36C37×#559C2214yescomplemented
37C37×#559C2214yescomplemented
38C37×#559C2212yescomplemented
39C37×#559C2212yescomplemented
40C37×#559C2212yescomplemented
41C37×#557C2212yescomplemented
42C37×#556C2211yescharacteristic, complemented
43C37×#556C2212yescomplemented
44C37×#556C2214yescomplemented
45C37×#555C2211yescharacteristic, complemented
46C37×#555C2214yescomplemented
47C37×#554C2211yescharacteristic, complemented
48C37×#554C2212yescomplemented
49C37×#554C2214yescomplemented
50C37×#553C2212yescomplemented
51C37×#553C2214yescomplemented
52C37×#553C2214yescomplemented
53C37×#553C2218yescomplemented
54C37×#553C2214yescomplemented
55C37×#553C2218yescomplemented
56C37×#553C2218yescomplemented
57C37×#552C2212yescomplemented
58C37×#552C2212yescomplemented
59C37×#552C2214yescomplemented
60C37×#551C2214yescomplemented
61C37×#551C2218yescomplemented
62C37×#551C2218yescomplemented
63C37×#550C2212yescomplemented
64C37×#550C2212yescomplemented
65C37×#550C2214yescomplemented
66C37×#550C2212yescomplemented
67C37×#550C2212yescomplemented
68C37×#550C2214yescomplemented
69C37×#550C2211yescharacteristic, complemented
70C37×#550C2214yescomplemented
71C37×#550C2212yescomplemented
72C37×#550C2212yescomplemented
73C37×#550C2212yescomplemented
74C37×#550C2214yescomplemented
75C37×#550C2212yescomplemented
76C37×#550C2214yescomplemented
77D4×Q8×C37C2211yescharacteristic, complemented
78C37×#548C2212yescomplemented
79C37×#548C2214yescomplemented
80C37×#547C2212yescomplemented
81C37×#547C2211yescharacteristic, complemented
82C37×#547C2211yescharacteristic, complemented
83C37×#547C2214yescomplemented
84C37×#547C2214yescomplemented
85C37×#547C2214yescomplemented
86C37×#547C2214yescomplemented
87C37×#547C2214yescomplemented
88C37×#546C2214yescomplemented
89C37×#546C2212yescomplemented
90C37×#546C2212yescomplemented
91C37×#546C2214yescomplemented
92C37×#546C2214yescomplemented
93C37×#546C2214yescomplemented
94C37×#546C2214yescomplemented
95C37×#546C2214yescomplemented
96C37×#546C2218yescomplemented
97C37×#546C2218yescomplemented
98C37×#546C2214yescomplemented
99C37×#546C2214yescomplemented
100C37×#546C2218yescomplemented
101C37×#546C2214yescomplemented
102C37×#546C2218yescomplemented
103D42×C37C2212yescomplemented
104D42×C37C2211yescharacteristic, complemented
105D42×C37C2218yescomplemented
106D42×C37C2214yescomplemented
107D42×C37C2214yescomplemented
108D42×C37C2212yescomplemented
109D42×C37C2214yescomplemented
110D42×C37C2212yescomplemented
111D42×C37C2214yescomplemented
112C37×#544C2211yescharacteristic, complemented
113C37×#542C2212yescomplemented
114C37×#542C2212yescomplemented
115C37×#542C2214yescomplemented
116C37×#542C2214yescomplemented
117C37×#541C2212yescomplemented
118C37×#541C2212yescomplemented
119C37×#540C2214yescomplemented
120C37×#540C2218yescomplemented
121C37×#540C2214yescomplemented
122C37×#540C2214yescomplemented
123C37×#540C2218yescomplemented
124C37×#540C2214yescomplemented
125C37×#540C2214yescomplemented
126C37×#540C2218yescomplemented
127C37×#539C2214yescomplemented
128C37×#539C2214yescomplemented
129C37×#539C2218yescomplemented
130C37×#539C2218yescomplemented
131C37×#538C2218yescomplemented
132C37×#538C2218yescomplemented
133C37×#538C2218yescomplemented
134C37×#538C2218yescomplemented
135C37×#537C2211yescharacteristic
136C37×#537C2214yescomplemented
137C37×#537C2214yescomplemented
138C37×#537C2214yescomplemented
139C37×#537C2218yescomplemented
140C37×#536C2211yescharacteristic, complemented
141C37×#536C2212yescomplemented
142C37×#536C2214yescomplemented
143C37×#536C2211yescharacteristic, complemented
144C37×#535C2212yescomplemented
145C37×#535C2212yescomplemented
146C37×#535C2214yescomplemented
147C37×#535C2214yescomplemented
148C37×#535C2214yescomplemented
149C37×#535C2214yescomplemented
150C37×#535C2214yescomplemented
151C37×#535C2218yescomplemented
152C37×#534C2218yescomplemented
153C37×#534C2218yescomplemented
154C37×#534C2218yescomplemented
155C37×#533C2212yescomplemented
156C37×#533C2212yescomplemented
157C37×#533C2211yescharacteristic, complemented
158C37×#532C2211yescharacteristic
159C37×#532C2214yescomplemented
160C37×#532C2214yescomplemented
161C37×#532C2212yescomplemented
162C37×#532C2214yescomplemented
163C37×#532C2212yescomplemented
164C37×#532C2212yescomplemented
165C37×#532C2212yescomplemented
166C2×#127×C37C2211yescharacteristic, complemented
167C2×#127×C37C2212yescomplemented
168C2×#127×C37C2212yescomplemented
169C37×#529C2214yescomplemented
170C37×#529C2212yescomplemented
171C37×#529C2212yescomplemented
172C37×#529C2212yescomplemented
173C37×#529C2214yescomplemented
174C37×#529C2214yescomplemented
175C37×#529C2214yescomplemented
176C37×#525C2214yescomplemented
177C37×#525C2218yescomplemented
178C37×#525C2214yescomplemented
179C37×#525C2212yescomplemented
180C37×#525C2214yescomplemented
181C37×#525C2212yescomplemented
182C37×#525C2214yescomplemented
183C2×#123×C37C2218yescomplemented
184C2×#121×C37C2212yescomplemented
185C2×#121×C37C2214yescomplemented
186C2×#121×C37C2214yescomplemented
187C37×#520C2212yescomplemented
188C37×#520C2214yescomplemented
189C37×#518C2212yescomplemented
190C37×#518C2214yescomplemented
191C4×#41×C37C2211yescharacteristic, complemented
192C4×#41×C37C2211yescharacteristic, complemented
193C4×#41×C37C2212yescomplemented
194C2×C4×Q8×C37C2211yescharacteristic, complemented
195C2×C4×D4×C37C2211yescharacteristic, complemented
196C2×C4×D4×C37C2212yescomplemented
197C2×C4×D4×C37C2212yescomplemented
198C2×#117×C37C2212yescomplemented
199H(5,𝔽2)×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×C37C2312yes—
211C2×#41×C37C2314yes—
212C2×#41×C37C2312yes—
213C2×#41×C37C2314yes—
214C2×#41×C37C2312yes—
215C2×#41×C37C2314yes—
216C2×#41×C37C2314yes—
217C2×#41×C37C2318yes—
218C2×#41×C37C2314yes—
219C22×Q8×C37C2311yescharacteristic
220C22×Q8×C37C2312yes—
221C22×D4×C37C2312yes—
222C22×D4×C37C2314yes—
223C22×D4×C37C2314yes—
224C22×D4×C37C2318yes—
225C22×D4×C37C2311yescharacteristic
226C22×D4×C37C2312yes—
227C22×D4×C37C2314yes—
228C22×D4×C37C2314yes—
229C22×D4×C37C2314yes—
230C22×D4×C37C2312yes—
231C22×D4×C37C2312yes—
232C22×D4×C37C2312yes—
233C22×D4×C37C2314yes—
234C22×D4×C37C2318yes—
235C22×D4×C37C2314yes—
236C23×C4×C37C2312yes—
237C23×C4×C37C2314yes—
238C23×C4×C37C2314yes—
239C4⋊Q8×C37C2311yescharacteristic
240C4⋊Q8×C37C2312yes—
241C4⋊Q8×C37C2312yes—
242C4⋊Q8×C37C2311yescharacteristic
243C4⋊Q8×C37C2311yescharacteristic
244C4⋊Q8×C37C2314yes—
245C4⋊Q8×C37C2312yes—
246C4⋊Q8×C37C2312yes—
247C4⋊Q8×C37C2312yes—
248#127×C37C2311yescharacteristic
249#127×C37C2312yes—
250#127×C37C2314yes—
251#127×C37C2312yes—
252#127×C37C2312yes—
253#127×C37C2314yes—
254#127×C37C2314yes—
255#127×C37C2314yes—
256#127×C37C2318yes—
257#127×C37C2312yes—
258#127×C37C2314yes—
259#127×C37C2312yes—
260#127×C37C2314yes—
261#127×C37C2318yes—
262#126×C37C2314yes—
263#126×C37C2314yes—
264#126×C37C2314yes—
265#126×C37C2318yes—
266#126×C37C2318yes—
267#126×C37C2314yes—
268#126×C37C2314yes—
269#126×C37C2314yes—
270#126×C37C2314yes—
271#126×C37C2318yes—
272#126×C37C2318yes—
273#125×C37C2312yes—
274#125×C37C2314yes—
275#125×C37C2314yes—
276#125×C37C2312yes—
277#125×C37C2314yes—
278#125×C37C2312yes—
279#125×C37C2314yes—
280#125×C37C2314yes—
281#125×C37C2312yes—
282#125×C37C2318yes—
283#124×C37C2312yes—
284#124×C37C2314yes—
285#124×C37C2314yes—
286#124×C37C2312yes—
287#124×C37C2314yes—
288#124×C37C2312yes—
289#124×C37C2314yes—
290#124×C37C2312yes—
291#124×C37C2314yes—
292#124×C37C2314yes—
293#124×C37C2314yes—
294#124×C37C2314yes—
295#124×C37C2318yes—
296#124×C37C2314yes—
297#124×C37C2318yes—
298#124×C37C2318yes—
299#123×C37C2314yes—
300#123×C37C2314yes—
301#123×C37C2314yes—
302#123×C37C2318yes—
303#123×C37C2318yes—
304#123×C37C2318yes—
305#123×C37C2318yes—
306#123×C37C2318yes—
307#123×C37C2314yes—
308#123×C37C2318yes—
309#123×C37C2318yes—
310#123×C37C2314yes—
311#123×C37C2318yes—
312#123×C37C2314yes—
313#123×C37C2314yes—
314#123×C37C2314yes—
315#123×C37C2314yes—
316#123×C37C2314yes—
317#123×C37C2318yes—
318#123×C37C2314yes—
319#123×C37C2318yes—
320#123×C37C2318yes—
321#123×C37C2318yes—
322#123×C37C2318yes—
323#123×C37C2318yes—
324#123×C37C2318yes—
325#123×C37C2318yes—
326#123×C37C2318yes—
327C22⋊Q8×C37C2312yes—
328C22⋊Q8×C37C2312yes—
329C22⋊Q8×C37C2312yes—
330C22⋊Q8×C37C2312yes—
331C22⋊Q8×C37C2312yes—
332C22⋊Q8×C37C2318yes—
333C22⋊Q8×C37C2314yes—
334C22⋊Q8×C37C2314yes—
335C22⋊Q8×C37C2318yes—
336C22⋊Q8×C37C2312yes—
337C22⋊Q8×C37C2314yes—
338C22⋊Q8×C37C2314yes—
339C22⋊Q8×C37C2312yes—
340C22⋊Q8×C37C2312yes—
341C22⋊Q8×C37C2312yes—
342C22⋊Q8×C37C2314yes—
343C22⋊Q8×C37C2314yes—
344C22⋊Q8×C37C2312yes—
345C22⋊Q8×C37C2312yes—
346C22⋊Q8×C37C2312yes—
347C22⋊Q8×C37C2314yes—
348C22⋊Q8×C37C2312yes—
349C22⋊Q8×C37C2314yes—
350C22⋊Q8×C37C2318yes—
351C22⋊Q8×C37C2318yes—
352C22⋊Q8×C37C2318yes—
353#121×C37C2312yes—
354#121×C37C2314yes—
355#121×C37C2312yes—
356#121×C37C2314yes—
357#121×C37C2314yes—
358#121×C37C2318yes—
359#121×C37C2314yes—
360#121×C37C2318yes—
361#121×C37C2318yes—
362#121×C37C2318yes—
363#121×C37C2318yes—
364#121×C37C2318yes—
365#121×C37C2314yes—
366#121×C37C2314yes—
367#121×C37C2312yes—
368#121×C37C2318yes—
369#121×C37C2312yes—
370#121×C37C2314yes—
371#121×C37C2314yes—
372#121×C37C2318yes—
373#121×C37C2312yes—
374#121×C37C2314yes—
375#121×C37C2314yes—
376#121×C37C2312yes—
377#121×C37C2314yes—
378#121×C37C2314yes—
379#121×C37C2312yes—
380#121×C37C2312yes—
381#121×C37C2312yes—
382#121×C37C2318yes—
383#121×C37C2318yes—
384#121×C37C2318yes—
385#121×C37C2318yes—
386#121×C37C2318yes—
387#121×C37C2314yes—
388#121×C37C2314yes—
389#121×C37C2314yes—
390#121×C37C2312yes—
391#121×C37C2314yes—
392#121×C37C2312yes—
393#121×C37C2314yes—
394#121×C37C2318yes—
395#121×C37C2318yes—
396#121×C37C2318yes—
397#121×C37C2318yes—
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#121×C37C2318yes—
407#120×C37C2318yes—
408#120×C37C2314yes—
409#120×C37C2314yes—
410#120×C37C2314yes—
411#120×C37C2318yes—
412#120×C37C2318yes—
413#120×C37C2318yes—
414#120×C37C2314yes—
415#120×C37C2318yes—
416#120×C37C2318yes—
417#120×C37C2318yes—
418#120×C37C2318yes—
419#120×C37C2318yes—
420#120×C37C2318yes—
421#120×C37C2318yes—
422C4×Q8×C37C2312yes—
423C4×Q8×C37C2314yes—
424C4×Q8×C37C2314yes—
425C4×Q8×C37C2312yes—
426C4×Q8×C37C2314yes—
427C4×Q8×C37C2312yes—
428C4×Q8×C37C2312yes—
429C4×Q8×C37C2312yes—
430C4×Q8×C37C2311yescharacteristic
431C4×Q8×C37C2311yescharacteristic
432C4×Q8×C37C2311yescharacteristic
433C4×Q8×C37C2311yescharacteristic
434C4×Q8×C37C2312yes—
435C4×Q8×C37C2312yes—
436C4×D4×C37C2318yes—
437C4×D4×C37C2318yes—
438C4×D4×C37C2318yes—
439C4×D4×C37C2314yes—
440C4×D4×C37C2314yes—
441C4×D4×C37C2314yes—
442C4×D4×C37C2312yes—
443C4×D4×C37C2318yes—
444C4×D4×C37C2314yes—
445C4×D4×C37C2318yes—
446C4×D4×C37C2318yes—
447C4×D4×C37C2314yes—
448C4×D4×C37C2312yes—
449C4×D4×C37C2314yes—
450C4×D4×C37C2314yes—
451C4×D4×C37C2318yes—
452C4×D4×C37C2314yes—
453C4×D4×C37C2312yes—
454C4×D4×C37C2311yescharacteristic
455C4×D4×C37C2312yes—
456C4×D4×C37C2311yescharacteristic
457C4×D4×C37C2311yescharacteristic
458C4×D4×C37C2312yes—
459C4×D4×C37C2318yes—
460C4×D4×C37C2314yes—
461C4×D4×C37C2314yes—
462C4×D4×C37C2312yes—
463C4×D4×C37C2311yescharacteristic
464C4×D4×C37C2314yes—
465C4×D4×C37C2314yes—
466C4×D4×C37C2314yes—
467C4×D4×C37C2314yes—
468C4×D4×C37C2314yes—
469C4×D4×C37C2318yes—
470C4×D4×C37C2314yes—
471C4×D4×C37C2314yes—
472C4×D4×C37C2318yes—
473C4×D4×C37C2312yes—
474C4×D4×C37C2312yes—
475C4×D4×C37C2312yes—
476C4×D4×C37C2314yes—
477C4×D4×C37C2312yes—
478C4×D4×C37C2314yes—
479C4×D4×C37C2311yescharacteristic
480C4×D4×C37C2311yescharacteristic
481C4×D4×C37C2311yescharacteristic
482C4×D4×C37C2312yes—
483C4×D4×C37C2311yescharacteristic
484#117×C37C2312yes—
485#117×C37C2314yes—
486#117×C37C2314yes—
487#117×C37C2318yes—
488#117×C37C2311yescharacteristic
489#117×C37C2312yes—
490#117×C37C2314yes—
491#117×C37C2312yes—
492#117×C37C2312yes—
493#117×C37C2314yes—
494#117×C37C2312yes—
495#117×C37C2314yes—
496#117×C37C2318yes—
497#117×C37C2311yescharacteristic
498#117×C37C2314yes—
499#117×C37C2312yes—
500C2×C4⋊C4×C37C2311yescharacteristic
501C2×C4⋊C4×C37C2312yes—
502C2×C4⋊C4×C37C2314yes—
503C2×C4⋊C4×C37C2318yes—
504C2×C4⋊C4×C37C2312yes—
505C2×C4⋊C4×C37C2318yes—
506C2×C4⋊C4×C37C2312yes—
507C2×C4⋊C4×C37C2312yes—
508C2×C4⋊C4×C37C2311yescharacteristic
509C2×C22⋊C4×C37C2312yes—
510C2×C22⋊C4×C37C2314yes—
511C2×C22⋊C4×C37C2318yes—
512C2×C22⋊C4×C37C2318yes—
513C2×C22⋊C4×C37C2318yes—
514C2×C22⋊C4×C37C2318yes—
515C2×C22⋊C4×C37C2314yes—
516C2×C22⋊C4×C37C2314yes—
517C2×C42×C37C2312yes—
518C2×C42×C37C2312yes—
519C2×C42×C37C2314yes—
520C2×C42×C37C2312yes—
521C2×C42×C37C2311yescharacteristic
522C24×C37C2412yes—
523C24×C37C2414yes—
524C24×C37C2418yes—
525C24×C37C2414yes—
526#41×C37—24no—
527#41×C37—28no—
528#41×C37—24no—
529#41×C37—48no—
530#41×C37—48no—
531#41×C37—48no—
532#41×C37—48no—
533#41×C37—48no—
534#41×C37—48no—
535#41×C37—44no—
536#41×C37—44no—
537#41×C37—44no—
538#41×C37—48no—
539#41×C37—48no—
540#41×C37—48no—
541#41×C37—88no—
542#41×C37—84no—
543C2×Q8×C37—24no—
544C2×Q8×C37—44no—
545C2×Q8×C37C2412yes—
546C2×Q8×C37C2412yes—
547C2×Q8×C37C2411yescharacteristic
548C2×Q8×C37C2411yescharacteristic
549C2×Q8×C37C2412yes—
550C2×Q8×C37C2412yes—
551C2×Q8×C37C2412yes—
552C2×Q8×C37C2414yes—
553C2×Q8×C37C2414yes—
554C2×D4×C37—28no—
555C2×D4×C37—42no—
556C2×D4×C37—44no—
557C2×D4×C37—48no—
558C2×D4×C37—44no—
559C2×D4×C37—44no—
560C2×D4×C37—48no—
561C2×D4×C37—48no—
562C2×D4×C37—48no—
563C2×D4×C37—48no—
564C2×D4×C37—416no—
565C2×D4×C37—82no—
566C2×D4×C37—84no—
567C2×D4×C37—84no—
568C2×D4×C37—88no—
569C2×D4×C37C2411yescharacteristic
570C2×D4×C37C2412yes—
571C2×D4×C37C2414yes—
572C2×D4×C37C2411yescharacteristic
573C2×D4×C37C2412yes—
574C2×D4×C37C2414yes—
575C2×D4×C37C2412yes—
576C2×D4×C37C2411yescharacteristic
577C2×D4×C37C2414yes—
578C2×D4×C37C2412yes—
579C2×D4×C37C2414yes—
580C2×D4×C37C2411yescharacteristic
581C2×D4×C37C2414yes—
582C2×D4×C37C2414yes—
583C2×D4×C37C2418yes—
584C2×D4×C37C2418yes—
585C2×D4×C37C2412yes—
586C2×D4×C37C2414yes—
587C2×D4×C37C2414yes—
588C2×D4×C37C2414yes—
589C2×D4×C37C2418yes—
590C2×D4×C37C2418yes—
591C2×D4×C37C2414yes—
592C2×D4×C37C2414yes—
593C2×D4×C37C2412yes—
594C2×D4×C37C2418yes—
595C2×D4×C37C2418yes—
596C2×D4×C37C2414yes—
597C2×D4×C37C2414yes—
598C2×D4×C37C2418yes—
599C2×D4×C37C2414yes—
600C2×D4×C37C2418yes—
601C2×D4×C37C2414yes—
602C2×D4×C37C2418yes—
603C2×D4×C37C2418yes—
604C22×C4×C37—28no—
605C22×C4×C37—48no—
606C22×C4×C37—48no—
607C22×C4×C37C2411yescharacteristic
608C22×C4×C37C2412yes—
609C22×C4×C37C2412yes—
610C22×C4×C37C2412yes—
611C22×C4×C37C2412yes—
612C22×C4×C37C2412yes—
613C22×C4×C37C2412yes—
614C22×C4×C37C2412yes—
615C22×C4×C37C2412yes—
616C22×C4×C37C2414yes—
617C22×C4×C37C2412yes—
618C22×C4×C37C2412yes—
619C22×C4×C37C2411yescharacteristic
620C22×C4×C37C2412yes—
621C22×C4×C37C2412yes—
622C22×C4×C37C2414yes—
623C22×C4×C37C2414yes—
624C22×C4×C37C2412yes—
625C22×C4×C37C2418yes—
626C22×C4×C37C2418yes—
627C22×C4×C37C2414yes—
628C22×C4×C37C2418yes—
629C22×C4×C37C2418yes—
630C22×C4×C37C2414yes—
631C22×C4×C37C2418yes—
632C22×C4×C37C2418yes—
633C22×C4×C37C2414yes—
634C22×C4×C37C2411yescharacteristic
635C4⋊C4×C37C2411yescharacteristic
636C4⋊C4×C37C2412yes—
637C4⋊C4×C37C2414yes—
638C4⋊C4×C37C2412yes—
639C4⋊C4×C37C2411yescharacteristic
640C4⋊C4×C37C2411yescharacteristic
641C4⋊C4×C37C2414yes—
642C4⋊C4×C37C2414yes—
643C4⋊C4×C37C2414yes—
644C4⋊C4×C37C2414yes—
645C4⋊C4×C37C2414yes—
646C4⋊C4×C37C2412yes—
647C4⋊C4×C37C2414yes—
648C4⋊C4×C37C2414yes—
649C4⋊C4×C37C2418yes—
650C4⋊C4×C37C2411yescharacteristic
651C4⋊C4×C37C2412yes—
652C4⋊C4×C37C2412yes—
653C4⋊C4×C37C2412yes—
654C4⋊C4×C37C2418yes—
655C4⋊C4×C37C2418yes—
656C4⋊C4×C37C2414yes—
657C4⋊C4×C37C2414yes—
658C4⋊C4×C37C2414yes—
659C4⋊C4×C37C2414yes—
660C4⋊C4×C37C2412yes—
661C4⋊C4×C37C2411yescharacteristic
662C4⋊C4×C37C2411yescharacteristic
663C4⋊C4×C37C2414yes—
664C4⋊C4×C37C2414yes—
665C4⋊C4×C37C2412yes—
666C4⋊C4×C37C2412yes—
667C4⋊C4×C37C2412yes—
668C4⋊C4×C37C2412yes—
669C4⋊C4×C37C2414yes—
670C4⋊C4×C37C2412yes—
671C4⋊C4×C37C2414yes—
672C4⋊C4×C37C2414yes—
673C4⋊C4×C37C2414yes—
674C4⋊C4×C37C2412yes—
675C22⋊C4×C37C2412yes—
676C22⋊C4×C37C2414yes—
677C22⋊C4×C37C2414yes—
678C22⋊C4×C37C2412yes—
679C22⋊C4×C37C2414yes—
680C22⋊C4×C37C2412yes—
681C22⋊C4×C37C2418yes—
682C22⋊C4×C37C2414yes—
683C22⋊C4×C37C2414yes—
684C22⋊C4×C37C2414yes—
685C22⋊C4×C37C2414yes—
686C22⋊C4×C37C2414yes—
687C22⋊C4×C37C2412yes—
688C22⋊C4×C37C2414yes—
689C22⋊C4×C37C2414yes—
690C22⋊C4×C37C2418yes—
691C22⋊C4×C37C2412yes—
692C22⋊C4×C37C2414yes—
693C22⋊C4×C37C2418yes—
694C22⋊C4×C37C2414yes—
695C22⋊C4×C37C2418yes—
696C22⋊C4×C37C2418yes—
697C22⋊C4×C37C2418yes—
698C22⋊C4×C37C2418yes—
699C22⋊C4×C37C2412yes—
700C22⋊C4×C37C2414yes—
701C22⋊C4×C37C2412yes—
702C22⋊C4×C37C2412yes—
703C22⋊C4×C37C2418yes—
704C22⋊C4×C37C2414yes—
705C22⋊C4×C37C2414yes—
706C22⋊C4×C37C2418yes—
707C22⋊C4×C37C2412yes—
708C22⋊C4×C37C2412yes—
709C22⋊C4×C37C2414yes—
710C22⋊C4×C37C2414yes—
711C22⋊C4×C37C2414yes—
712C22⋊C4×C37C2418yes—
713C22⋊C4×C37C2418yes—
714C22⋊C4×C37C2414yes—
715C42×C37C2412yes—
716C42×C37C2411yescharacteristic
717C42×C37C2411yescharacteristic
718C42×C37C2414yes—
719C42×C37C2414yes—
720C42×C37C2412yes—
721C42×C37C2414yes—
722C42×C37C2412yes—
723C42×C37C2411yescharacteristic
724C42×C37C2412yes—
725C42×C37C2414yes—
726C42×C37C2411yescharacteristic
727C42×C37C2412yes—
728C42×C37C2414yes—
729C42×C37C2412yes—
730C42×C37C2418yes—
731C23×C37—24no—
732C23×C37—28no—
733C23×C37—44no—
734C23×C37—42no—
735C23×C37—44no—
736C23×C37—44no—
737C23×C37—42no—
738C23×C37—44no—
739C23×C37—44no—
740C23×C37—48no—
741C23×C37—48no—
742C23×C37—48no—
743C23×C37C2512yes—
744C23×C37C2512yes—
745C23×C37C2514yes—
746C23×C37C2512yes—
747C23×C37C2518yes—
748C23×C37C2512yes—
749C23×C37C2511yescharacteristic
750Q8×C37—24no—
751Q8×C37—24no—
752Q8×C37—22no—
753Q8×C37—24no—
754Q8×C37—22no—
755Q8×C37—24no—
756Q8×C37—44no—
757Q8×C37—42no—
758Q8×C37—44no—
759D4×C37—24no—
760D4×C37—28no—
761D4×C37—24no—
762D4×C37—28no—
763D4×C37—28no—
764D4×C37—22no—
765D4×C37—24no—
766D4×C37—22no—
767D4×C37—22no—
768D4×C37—24no—
769D4×C37—28no—
770D4×C37—22no—
771D4×C37—48no—
772D4×C37—48no—
773D4×C37—44no—
774D4×C37—48no—
775D4×C37—42no—
776D4×C37—44no—
777D4×C37—44no—
778D4×C37—44no—
779D4×C37—44no—
780D4×C37—48no—
781D4×C37—48no—
782D4×C37—44no—
783D4×C37—42no—
784D4×C37—44no—
785D4×C37—44no—
786D4×C37—48no—
787D4×C37—48no—
788D4×C37—48no—
789D4×C37—48no—
790D4×C37—44no—
791D4×C37—48no—
792D4×C37—44no—
793D4×C37—44no—
794C2×C4×C37—24no—
795C2×C4×C37—24no—
796C2×C4×C37—24no—
797C2×C4×C37—24no—
798C2×C4×C37—24no—
799C2×C4×C37—24no—
800C2×C4×C37—24no—
801C2×C4×C37—28no—
802C2×C4×C37—24no—
803C2×C4×C37—22no—
804C2×C4×C37—24no—
805C2×C4×C37—24no—
806C2×C4×C37—44no—
807C2×C4×C37—44no—
808C2×C4×C37—44no—
809C2×C4×C37—48no—
810C2×C4×C37—48no—
811C2×C4×C37—48no—
812C2×C4×C37—41no—
813C2×C4×C37—42no—
814C2×C4×C37—42no—
815C2×C4×C37—48no—
816C2×C4×C37—48no—
817C2×C4×C37—44no—
818C2×C4×C37—48no—
819C2×C4×C37—44no—
820C2×C4×C37—42no—
821C2×C4×C37H(5,𝔽2)14yes—
822C2×C4×C37C2511yescharacteristic
823C2×C4×C37C2514yes—
824C2×C4×C37C2512yes—
825C2×C4×C37C2512yes—
826C2×C4×C37C2511yescharacteristic
827C2×C4×C37C2512yes—
828C2×C4×C37C2514yes—
829C2×C4×C37C2511yescharacteristic
830C2×C4×C37C2512yes—
831C2×C4×C37C2512yes—
832C2×C4×C37C2514yes—
833C2×C4×C37C2512yes—
834C2×C4×C37C2514yes—
835C2×C4×C37C2514yes—
836C2×C4×C37C2512yes—
837C2×C4×C37C2512yes—
838C2×C4×C37C2511yescharacteristic
839C2×C4×C37C2511yescharacteristic
840C2×C4×C37C2511yescharacteristic
841#62955C3711yesmaximal, characteristic, direct product factor, Sylow
842C22×C37—21no—
843C22×C37—21no—
844C22×C37—22no—
845C22×C37—22no—
846C22×C37—22no—
847C22×C37—24no—
848C22×C37—22no—
849C22×C37—28no—
850C22×C37—22no—
851C22×C37—22no—
852C22×C37—22no—
853C22×C37—28no—
854C22×C37—22no—
855C22×C37—24no—
856C22×C37—22no—
857C22×C37—24no—
858C22×C37—22no—
859C22×C37—28no—
860C22×C37—22no—
861C22×C37—22no—
862C22×C37—84no—
863C22×C37—88no—
864C22×C37—88no—
865C22×C37—168no—
866C22×C37C2×H(5,𝔽2)12yes—
867C22×C37C2611yescharacteristic
868C4×C37—22no—
869C4×C37—22no—
870C4×C37—22no—
871C4×C37—24no—
872C4×C37—22no—
873C4×C37—24no—
874C4×C37—22no—
875C4×C37—22no—
876C4×C37—21no—
877C4×C37—24no—
878C4×C37—24no—
879C4×C37—22no—
880C4×C37—21no—
881C4×C37—24no—
882C4×C37—21no—
883C4×C37—22no—
884C4×C37C2×H(5,𝔽2)12yes—
885C4×C37C2×H(5,𝔽2)12yes—
886C4×C37#58512yes—
887#3562C2×C3714yescomplemented
888#3554C2×C3712yescomplemented
889#3548C2×C3712yescomplemented
890#3546C2×C3712yescomplemented
891#3546C2×C3714yescomplemented
892#3543C2×C3714yescomplemented
893#3543C2×C3712yescomplemented
894#3542C2×C3714yescomplemented
895#3539C2×C3714yescomplemented
896#3534C2×C3718yescomplemented
897#3519C2×C3712yescomplemented
898#3517C2×C3712yescomplemented
899#3513C2×C3714yescomplemented
900#3508C2×C3711yescharacteristic, complemented
901#3508C2×C3712yescomplemented
902#3507C2×C3711yescharacteristic, complemented
903#3506C2×C3712yescomplemented
904#3498C2×C3711yescharacteristic, complemented
905#3494C2×C3712yescomplemented
906#3488C2×C3712yescomplemented
907#3485C2×C3712yescomplemented
908#3475C2×C3711yescharacteristic, complemented
909D4×#41C2×C3711yescharacteristic, complemented
910C2×#550C2×C3711yescharacteristic, complemented
911#3461C2×C3711yescharacteristic, complemented
912#3449C2×C3712yescomplemented
913C2×C37—22no—
914C2×C37—42no—
915C2×C37—42no—
916C2×C37—42no—
917C2×C37—48no—
918C2×C37—44no—
919C2×C37—42no—
920C2×C37C22×H(5,𝔽2)11yescharacteristic
921C2×C37C2×#58511yescharacteristic
922C2×C37H(7,𝔽2)11yescharacteristic
923C2×H(5,𝔽2)C22×C3712yescomplemented
924C22×#41C22×C3712yescomplemented
925C22×#41C22×C3712yescomplemented
926#562C22×C3718yescomplemented
927#562C22×C3718yescomplemented
928#560C22×C3718yescomplemented
929#560C22×C3718yescomplemented
930#560C22×C3718yescomplemented
931#560C22×C3718yescomplemented
932#559C22×C3714yescomplemented
933#559C22×C3714yescomplemented
934#559C22×C3712yescomplemented
935#559C22×C3712yescomplemented
936#559C22×C3712yescomplemented
937#557C22×C3712yescomplemented
938#556C22×C3711yescharacteristic, complemented
939#556C22×C3712yescomplemented
940#556C22×C3714yescomplemented
941#555C22×C3711yescharacteristic, complemented
942#555C22×C3714yescomplemented
943#554C22×C3711yescharacteristic, complemented
944#554C22×C3712yescomplemented
945#554C22×C3714yescomplemented
946#553C22×C3712yescomplemented
947#553C22×C3714yescomplemented
948#553C22×C3714yescomplemented
949#553C22×C3718yescomplemented
950#553C22×C3714yescomplemented
951#553C22×C3718yescomplemented
952#553C22×C3718yescomplemented
953#552C22×C3712yescomplemented
954#552C22×C3712yescomplemented
955#552C22×C3714yescomplemented
956#551C22×C3714yescomplemented
957#551C22×C3718yescomplemented
958#551C22×C3718yescomplemented
959#550C22×C3712yescomplemented
960#550C22×C3712yescomplemented
961#550C22×C3714yescomplemented
962#550C22×C3712yescomplemented
963#550C22×C3712yescomplemented
964#550C22×C3714yescomplemented
965#550C22×C3711yescharacteristic, complemented
966#550C22×C3714yescomplemented
967#550C22×C3712yescomplemented
968#550C22×C3712yescomplemented
969#550C22×C3712yescomplemented
970#550C22×C3714yescomplemented
971#550C22×C3712yescomplemented
972#550C22×C3714yescomplemented
973D4×Q8C22×C3711yescharacteristic, complemented
974#548C22×C3712yescomplemented
975#548C22×C3714yescomplemented
976#547C22×C3712yescomplemented
977#547C22×C3711yescharacteristic, complemented
978#547C22×C3711yescharacteristic, complemented
979#547C22×C3714yescomplemented
980#547C22×C3714yescomplemented
981#547C22×C3714yescomplemented
982#547C22×C3714yescomplemented
983#547C22×C3714yescomplemented
984#546C22×C3714yescomplemented
985#546C22×C3712yescomplemented
986#546C22×C3712yescomplemented
987#546C22×C3714yescomplemented
988#546C22×C3714yescomplemented
989#546C22×C3714yescomplemented
990#546C22×C3714yescomplemented
991#546C22×C3714yescomplemented
992#546C22×C3718yescomplemented
993#546C22×C3718yescomplemented
994#546C22×C3714yescomplemented
995#546C22×C3714yescomplemented
996#546C22×C3718yescomplemented
997#546C22×C3714yescomplemented
998#546C22×C3718yescomplemented
999D42C22×C3711yescharacteristic, complemented
1000D42C22×C3712yescomplemented
1001D42C22×C3718yescomplemented
1002D42C22×C3714yescomplemented
1003D42C22×C3714yescomplemented
1004D42C22×C3712yescomplemented
1005D42C22×C3714yescomplemented
1006D42C22×C3712yescomplemented
1007D42C22×C3714yescomplemented
1008#544C22×C3711yescharacteristic, complemented
1009#542C22×C3712yescomplemented
1010#542C22×C3712yescomplemented
1011#542C22×C3714yescomplemented
1012#542C22×C3714yescomplemented
1013#541C22×C3712yescomplemented
1014#541C22×C3712yescomplemented
1015#540C22×C3714yescomplemented
1016#540C22×C3718yescomplemented
1017#540C22×C3714yescomplemented
1018#540C22×C3714yescomplemented
1019#540C22×C3718yescomplemented
1020#540C22×C3714yescomplemented
1021#540C22×C3714yescomplemented
1022#540C22×C3718yescomplemented
1023#539C22×C3714yescomplemented
1024#539C22×C3714yescomplemented
1025#539C22×C3718yescomplemented
1026#539C22×C3718yescomplemented
1027#538C22×C3718yescomplemented
1028#538C22×C3718yescomplemented
1029#538C22×C3718yescomplemented
1030#538C22×C3718yescomplemented
1031#537C22×C3711yescharacteristic
1032#537C22×C3714yescomplemented
1033#537C22×C3714yescomplemented
1034#537C22×C3714yescomplemented
1035#537C22×C3718yescomplemented
1036#536C22×C3711yescharacteristic, complemented
1037#536C22×C3712yescomplemented
1038#536C22×C3714yescomplemented
1039#536C22×C3711yescharacteristic, complemented
1040#535C22×C3712yescomplemented
1041#535C22×C3712yescomplemented
1042#535C22×C3714yescomplemented
1043#535C22×C3714yescomplemented
1044#535C22×C3714yescomplemented
1045#535C22×C3714yescomplemented
1046#535C22×C3714yescomplemented
1047#535C22×C3718yescomplemented
1048#534C22×C3718yescomplemented
1049#534C22×C3718yescomplemented
1050#534C22×C3718yescomplemented
1051#533C22×C3712yescomplemented
1052#533C22×C3712yescomplemented
1053#533C22×C3711yescharacteristic, complemented
1054#532C22×C3711yescharacteristic
1055#532C22×C3714yescomplemented
1056#532C22×C3714yescomplemented
1057#532C22×C3712yescomplemented
1058#532C22×C3714yescomplemented
1059#532C22×C3712yescomplemented
1060#532C22×C3712yescomplemented
1061#532C22×C3712yescomplemented
1062C2×#127C22×C3711yescharacteristic, complemented
1063C2×#127C22×C3712yescomplemented
1064C2×#127C22×C3712yescomplemented
1065#529C22×C3714yescomplemented
1066#529C22×C3712yescomplemented
1067#529C22×C3712yescomplemented
1068#529C22×C3712yescomplemented
1069#529C22×C3714yescomplemented
1070#529C22×C3714yescomplemented
1071#529C22×C3714yescomplemented
1072#525C22×C3714yescomplemented
1073#525C22×C3718yescomplemented
1074#525C22×C3714yescomplemented
1075#525C22×C3712yescomplemented
1076#525C22×C3714yescomplemented
1077#525C22×C3712yescomplemented
1078#525C22×C3714yescomplemented
1079C2×#123C22×C3718yescomplemented
1080C2×#121C22×C3712yescomplemented
1081C2×#121C22×C3714yescomplemented
1082C2×#121C22×C3714yescomplemented
1083#520C22×C3712yescomplemented
1084#520C22×C3714yescomplemented
1085#518C22×C3712yescomplemented
1086#518C22×C3714yescomplemented
1087C4×#41C22×C3711yescharacteristic, complemented
1088C4×#41C22×C3711yescharacteristic, complemented
1089C4×#41C22×C3712yescomplemented
1090C2×C4×Q8C22×C3711yescharacteristic, complemented
1091C2×C4×D4C22×C3711yescharacteristic, complemented
1092C2×C4×D4C22×C3712yescomplemented
1093C2×C4×D4C22×C3712yescomplemented
1094C2×#117C22×C3712yescomplemented
1095C37#6295511yescharacteristic, direct product factor, Sylow
1096H(5,𝔽2)—48no—
1097C2×#41—48no—
1098C2×#41—48no—
1099C2×#41C23×C3711yescharacteristic
1100C2×#41C23×C3711yescharacteristic
1101C2×#41C23×C3712yes—
1102C2×#41C23×C3712yes—
1103C2×#41C23×C3714yes—
1104C2×#41C23×C3714yes—
1105C2×#41C23×C3714yes—
1106C2×#41C23×C3714yes—
1107C2×#41C23×C3714yes—
1108C2×#41C23×C3712yes—
1109C2×#41C23×C3714yes—
1110C2×#41C23×C3712yes—
1111C2×#41C23×C3714yes—
1112C2×#41C23×C3714yes—
1113C2×#41C23×C3714yes—
1114C2×#41C23×C3718yes—
1115C2×#41C23×C3714yes—
1116C22×Q8C23×C3711yescharacteristic
1117C22×Q8C23×C3712yes—
1118C22×D4C23×C3712yes—
1119C22×D4C23×C3711yescharacteristic
1120C22×D4C23×C3712yes—
1121C22×D4C23×C3712yes—
1122C22×D4C23×C3714yes—
1123C22×D4C23×C3714yes—
1124C22×D4C23×C3714yes—
1125C22×D4C23×C3718yes—
1126C22×D4C23×C3714yes—
1127C22×D4C23×C3714yes—
1128C22×D4C23×C3712yes—
1129C22×D4C23×C3712yes—
1130C22×D4C23×C3714yes—
1131C22×D4C23×C3718yes—
1132C22×D4C23×C3714yes—
1133C23×C4C23×C3712yes—
1134C23×C4C23×C3714yes—
1135C23×C4C23×C3714yes—
1136C4⋊Q8C23×C3711yescharacteristic
1137C4⋊Q8C23×C3712yes—
1138C4⋊Q8C23×C3712yes—
1139C4⋊Q8C23×C3711yescharacteristic
1140C4⋊Q8C23×C3711yescharacteristic
1141C4⋊Q8C23×C3714yes—
1142C4⋊Q8C23×C3712yes—
1143C4⋊Q8C23×C3712yes—
1144C4⋊Q8C23×C3712yes—
1145#127C23×C3711yescharacteristic
1146#127C23×C3712yes—
1147#127C23×C3714yes—
1148#127C23×C3712yes—
1149#127C23×C3712yes—
1150#127C23×C3714yes—
1151#127C23×C3714yes—
1152#127C23×C3714yes—
1153#127C23×C3718yes—
1154#127C23×C3712yes—
1155#127C23×C3714yes—
1156#127C23×C3712yes—
1157#127C23×C3714yes—
1158#127C23×C3718yes—
1159#126C23×C3714yes—
1160#126C23×C3714yes—
1161#126C23×C3714yes—
1162#126C23×C3718yes—
1163#126C23×C3718yes—
1164#126C23×C3714yes—
1165#126C23×C3714yes—
1166#126C23×C3714yes—
1167#126C23×C3714yes—
1168#126C23×C3718yes—
1169#126C23×C3718yes—
1170#125C23×C3712yes—
1171#125C23×C3714yes—
1172#125C23×C3714yes—
1173#125C23×C3712yes—
1174#125C23×C3714yes—
1175#125C23×C3712yes—
1176#125C23×C3714yes—
1177#125C23×C3714yes—
1178#125C23×C3712yes—
1179#125C23×C3718yes—
1180#124C23×C3712yes—
1181#124C23×C3714yes—
1182#124C23×C3714yes—
1183#124C23×C3712yes—
1184#124C23×C3714yes—
1185#124C23×C3712yes—
1186#124C23×C3714yes—
1187#124C23×C3712yes—
1188#124C23×C3714yes—
1189#124C23×C3714yes—
1190#124C23×C3714yes—
1191#124C23×C3714yes—
1192#124C23×C3718yes—
1193#124C23×C3714yes—
1194#124C23×C3718yes—
1195#124C23×C3718yes—
1196#123C23×C3714yes—
1197#123C23×C3714yes—
1198#123C23×C3714yes—
1199#123C23×C3718yes—
1200#123C23×C3718yes—
1201#123C23×C3718yes—
1202#123C23×C3718yes—
1203#123C23×C3718yes—
1204#123C23×C3714yes—
1205#123C23×C3718yes—
1206#123C23×C3718yes—
1207#123C23×C3714yes—
1208#123C23×C3718yes—
1209#123C23×C3714yes—
1210#123C23×C3714yes—
1211#123C23×C3714yes—
1212#123C23×C3714yes—
1213#123C23×C3714yes—
1214#123C23×C3718yes—
1215#123C23×C3714yes—
1216#123C23×C3718yes—
1217#123C23×C3718yes—
1218#123C23×C3718yes—
1219#123C23×C3718yes—
1220#123C23×C3718yes—
1221#123C23×C3718yes—
1222#123C23×C3718yes—
1223#123C23×C3718yes—
1224C22⋊Q8C23×C3712yes—
1225C22⋊Q8C23×C3712yes—
1226C22⋊Q8C23×C3712yes—
1227C22⋊Q8C23×C3712yes—
1228C22⋊Q8C23×C3712yes—
1229C22⋊Q8C23×C3718yes—
1230C22⋊Q8C23×C3714yes—
1231C22⋊Q8C23×C3714yes—
1232C22⋊Q8C23×C3718yes—
1233C22⋊Q8C23×C3712yes—
1234C22⋊Q8C23×C3714yes—
1235C22⋊Q8C23×C3714yes—
1236C22⋊Q8C23×C3712yes—
1237C22⋊Q8C23×C3712yes—
1238C22⋊Q8C23×C3712yes—
1239C22⋊Q8C23×C3714yes—
1240C22⋊Q8C23×C3714yes—
1241C22⋊Q8C23×C3712yes—
1242C22⋊Q8C23×C3712yes—
1243C22⋊Q8C23×C3712yes—
1244C22⋊Q8C23×C3714yes—
1245C22⋊Q8C23×C3712yes—
1246C22⋊Q8C23×C3714yes—
1247C22⋊Q8C23×C3718yes—
1248C22⋊Q8C23×C3718yes—
1249C22⋊Q8C23×C3718yes—
1250#121C23×C3712yes—
1251#121C23×C3714yes—
1252#121C23×C3712yes—
1253#121C23×C3714yes—
1254#121C23×C3714yes—
1255#121C23×C3718yes—
1256#121C23×C3714yes—
1257#121C23×C3718yes—
1258#121C23×C3718yes—
1259#121C23×C3718yes—
1260#121C23×C3718yes—
1261#121C23×C3718yes—
1262#121C23×C3714yes—
1263#121C23×C3714yes—
1264#121C23×C3712yes—
1265#121C23×C3718yes—
1266#121C23×C3712yes—
1267#121C23×C3714yes—
1268#121C23×C3714yes—
1269#121C23×C3718yes—
1270#121C23×C3712yes—
1271#121C23×C3714yes—
1272#121C23×C3714yes—
1273#121C23×C3712yes—
1274#121C23×C3714yes—
1275#121C23×C3714yes—
1276#121C23×C3712yes—
1277#121C23×C3712yes—
1278#121C23×C3712yes—
1279#121C23×C3718yes—
1280#121C23×C3718yes—
1281#121C23×C3718yes—
1282#121C23×C3718yes—
1283#121C23×C3718yes—
1284#121C23×C3714yes—
1285#121C23×C3714yes—
1286#121C23×C3714yes—
1287#121C23×C3712yes—
1288#121C23×C3714yes—
1289#121C23×C3712yes—
1290#121C23×C3714yes—
1291#121C23×C3718yes—
1292#121C23×C3718yes—
1293#121C23×C3718yes—
1294#121C23×C3718yes—
1295#121C23×C3718yes—
1296#121C23×C3718yes—
1297#121C23×C3718yes—
1298#121C23×C3718yes—
1299#121C23×C3718yes—
1300#121C23×C3718yes—
1301#121C23×C3718yes—
1302#121C23×C3718yes—
1303#121C23×C3718yes—
1304#120C23×C3718yes—
1305#120C23×C3714yes—
1306#120C23×C3714yes—
1307#120C23×C3714yes—
1308#120C23×C3718yes—
1309#120C23×C3718yes—
1310#120C23×C3718yes—
1311#120C23×C3714yes—
1312#120C23×C3718yes—
1313#120C23×C3718yes—
1314#120C23×C3718yes—
1315#120C23×C3718yes—
1316#120C23×C3718yes—
1317#120C23×C3718yes—
1318#120C23×C3718yes—
1319C4×Q8C23×C3712yes—
1320C4×Q8C23×C3712yes—
1321C4×Q8C23×C3712yes—
1322C4×Q8C23×C3712yes—
1323C4×Q8C23×C3712yes—
1324C4×Q8C23×C3712yes—
1325C4×Q8C23×C3711yescharacteristic
1326C4×Q8C23×C3711yescharacteristic
1327C4×Q8C23×C3711yescharacteristic
1328C4×Q8C23×C3711yescharacteristic
1329C4×Q8C23×C3714yes—
1330C4×Q8C23×C3714yes—
1331C4×Q8C23×C3712yes—
1332C4×Q8C23×C3714yes—
1333C4×D4C23×C3711yescharacteristic
1334C4×D4C23×C3711yescharacteristic
1335C4×D4C23×C3712yes—
1336C4×D4C23×C3714yes—
1337C4×D4C23×C3714yes—
1338C4×D4C23×C3712yes—
1339C4×D4C23×C3711yescharacteristic
1340C4×D4C23×C3712yes—
1341C4×D4C23×C3712yes—
1342C4×D4C23×C3711yescharacteristic
1343C4×D4C23×C3714yes—
1344C4×D4C23×C3718yes—
1345C4×D4C23×C3712yes—
1346C4×D4C23×C3714yes—
1347C4×D4C23×C3714yes—
1348C4×D4C23×C3712yes—
1349C4×D4C23×C3711yescharacteristic
1350C4×D4C23×C3712yes—
1351C4×D4C23×C3711yescharacteristic
1352C4×D4C23×C3712yes—
1353C4×D4C23×C3712yes—
1354C4×D4C23×C3714yes—
1355C4×D4C23×C3712yes—
1356C4×D4C23×C3711yescharacteristic
1357C4×D4C23×C3711yescharacteristic
1358C4×D4C23×C3718yes—
1359C4×D4C23×C3714yes—
1360C4×D4C23×C3714yes—
1361C4×D4C23×C3714yes—
1362C4×D4C23×C3714yes—
1363C4×D4C23×C3714yes—
1364C4×D4C23×C3718yes—
1365C4×D4C23×C3714yes—
1366C4×D4C23×C3718yes—
1367C4×D4C23×C3718yes—
1368C4×D4C23×C3718yes—
1369C4×D4C23×C3714yes—
1370C4×D4C23×C3714yes—
1371C4×D4C23×C3712yes—
1372C4×D4C23×C3714yes—
1373C4×D4C23×C3718yes—
1374C4×D4C23×C3718yes—
1375C4×D4C23×C3714yes—
1376C4×D4C23×C3718yes—
1377C4×D4C23×C3714yes—
1378C4×D4C23×C3718yes—
1379C4×D4C23×C3714yes—
1380C4×D4C23×C3714yes—
1381#117C23×C3711yescharacteristic
1382#117C23×C3712yes—
1383#117C23×C3714yes—
1384#117C23×C3712yes—
1385#117C23×C3712yes—
1386#117C23×C3714yes—
1387#117C23×C3711yescharacteristic
1388#117C23×C3712yes—
1389#117C23×C3712yes—
1390#117C23×C3712yes—
1391#117C23×C3714yes—
1392#117C23×C3714yes—
1393#117C23×C3714yes—
1394#117C23×C3714yes—
1395#117C23×C3718yes—
1396#117C23×C3718yes—
1397C2×C4⋊C4C23×C3712yes—
1398C2×C4⋊C4C23×C3712yes—
1399C2×C4⋊C4C23×C3711yescharacteristic
1400C2×C4⋊C4C23×C3712yes—
1401C2×C4⋊C4C23×C3711yescharacteristic
1402C2×C4⋊C4C23×C3712yes—
1403C2×C4⋊C4C23×C3714yes—
1404C2×C4⋊C4C23×C3718yes—
1405C2×C4⋊C4C23×C3718yes—
1406C2×C22⋊C4C23×C3714yes—
1407C2×C22⋊C4C23×C3712yes—
1408C2×C22⋊C4C23×C3714yes—
1409C2×C22⋊C4C23×C3714yes—
1410C2×C22⋊C4C23×C3718yes—
1411C2×C22⋊C4C23×C3718yes—
1412C2×C22⋊C4C23×C3718yes—
1413C2×C22⋊C4C23×C3718yes—
1414C2×C42C23×C3714yes—
1415C2×C42C23×C3711yescharacteristic
1416C2×C42C23×C3712yes—
1417C2×C42C23×C3712yes—
1418C2×C42C23×C3712yes—
1419C24C24×C3712yes—
1420C24C24×C3714yes—
1421C24C24×C3718yes—
1422C24C24×C3714yes—
1423#41—24no—
1424#41—28no—
1425#41—24no—
1426#41—48no—
1427#41—48no—
1428#41—48no—
1429#41—48no—
1430#41—48no—
1431#41—48no—
1432#41—44no—
1433#41—44no—
1434#41—44no—
1435#41—48no—
1436#41—48no—
1437#41—48no—
1438#41—88no—
1439#41—84no—
1440C2×Q8—24no—
1441C2×Q8—44no—
1442C2×Q8C24×C3712yes—
1443C2×Q8C24×C3712yes—
1444C2×Q8C24×C3711yescharacteristic
1445C2×Q8C24×C3711yescharacteristic
1446C2×Q8C24×C3712yes—
1447C2×Q8C24×C3712yes—
1448C2×Q8C24×C3712yes—
1449C2×Q8C24×C3714yes—
1450C2×Q8C24×C3714yes—
1451C2×D4—28no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—48no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—48no—
1458C2×D4—48no—
1459C2×D4—48no—
1460C2×D4—48no—
1461C2×D4—416no—
1462C2×D4—82no—
1463C2×D4—84no—
1464C2×D4—84no—
1465C2×D4—88no—
1466C2×D4C24×C3711yescharacteristic
1467C2×D4C24×C3712yes—
1468C2×D4C24×C3714yes—
1469C2×D4C24×C3711yescharacteristic
1470C2×D4C24×C3712yes—
1471C2×D4C24×C3714yes—
1472C2×D4C24×C3712yes—
1473C2×D4C24×C3711yescharacteristic
1474C2×D4C24×C3714yes—
1475C2×D4C24×C3712yes—
1476C2×D4C24×C3714yes—
1477C2×D4C24×C3711yescharacteristic
1478C2×D4C24×C3714yes—
1479C2×D4C24×C3714yes—
1480C2×D4C24×C3718yes—
1481C2×D4C24×C3718yes—
1482C2×D4C24×C3712yes—
1483C2×D4C24×C3714yes—
1484C2×D4C24×C3714yes—
1485C2×D4C24×C3714yes—
1486C2×D4C24×C3718yes—
1487C2×D4C24×C3718yes—
1488C2×D4C24×C3714yes—
1489C2×D4C24×C3714yes—
1490C2×D4C24×C3712yes—
1491C2×D4C24×C3718yes—
1492C2×D4C24×C3718yes—
1493C2×D4C24×C3714yes—
1494C2×D4C24×C3714yes—
1495C2×D4C24×C3718yes—
1496C2×D4C24×C3714yes—
1497C2×D4C24×C3718yes—
1498C2×D4C24×C3714yes—
1499C2×D4C24×C3718yes—
1500C2×D4C24×C3718yes—
1501C22×C4—28no—
1502C22×C4—48no—
1503C22×C4—48no—
1504C22×C4C24×C3711yescharacteristic
1505C22×C4C24×C3712yes—
1506C22×C4C24×C3712yes—
1507C22×C4C24×C3712yes—
1508C22×C4C24×C3712yes—
1509C22×C4C24×C3712yes—
1510C22×C4C24×C3712yes—
1511C22×C4C24×C3712yes—
1512C22×C4C24×C3712yes—
1513C22×C4C24×C3714yes—
1514C22×C4C24×C3712yes—
1515C22×C4C24×C3712yes—
1516C22×C4C24×C3711yescharacteristic
1517C22×C4C24×C3712yes—
1518C22×C4C24×C3712yes—
1519C22×C4C24×C3714yes—
1520C22×C4C24×C3714yes—
1521C22×C4C24×C3712yes—
1522C22×C4C24×C3718yes—
1523C22×C4C24×C3718yes—
1524C22×C4C24×C3714yes—
1525C22×C4C24×C3718yes—
1526C22×C4C24×C3714yes—
1527C22×C4C24×C3718yes—
1528C22×C4C24×C3718yes—
1529C22×C4C24×C3718yes—
1530C22×C4C24×C3714yes—
1531C22×C4C24×C3711yescharacteristic
1532C4⋊C4C24×C3711yescharacteristic
1533C4⋊C4C24×C3712yes—
1534C4⋊C4C24×C3714yes—
1535C4⋊C4C24×C3712yes—
1536C4⋊C4C24×C3711yescharacteristic
1537C4⋊C4C24×C3711yescharacteristic
1538C4⋊C4C24×C3714yes—
1539C4⋊C4C24×C3714yes—
1540C4⋊C4C24×C3714yes—
1541C4⋊C4C24×C3714yes—
1542C4⋊C4C24×C3714yes—
1543C4⋊C4C24×C3712yes—
1544C4⋊C4C24×C3714yes—
1545C4⋊C4C24×C3714yes—
1546C4⋊C4C24×C3718yes—
1547C4⋊C4C24×C3711yescharacteristic
1548C4⋊C4C24×C3712yes—
1549C4⋊C4C24×C3712yes—
1550C4⋊C4C24×C3712yes—
1551C4⋊C4C24×C3718yes—
1552C4⋊C4C24×C3718yes—
1553C4⋊C4C24×C3714yes—
1554C4⋊C4C24×C3714yes—
1555C4⋊C4C24×C3714yes—
1556C4⋊C4C24×C3714yes—
1557C4⋊C4C24×C3712yes—
1558C4⋊C4C24×C3711yescharacteristic
1559C4⋊C4C24×C3711yescharacteristic
1560C4⋊C4C24×C3714yes—
1561C4⋊C4C24×C3714yes—
1562C4⋊C4C24×C3712yes—
1563C4⋊C4C24×C3712yes—
1564C4⋊C4C24×C3712yes—
1565C4⋊C4C24×C3712yes—
1566C4⋊C4C24×C3714yes—
1567C4⋊C4C24×C3712yes—
1568C4⋊C4C24×C3714yes—
1569C4⋊C4C24×C3714yes—
1570C4⋊C4C24×C3714yes—
1571C4⋊C4C24×C3712yes—
1572C22⋊C4C24×C3712yes—
1573C22⋊C4C24×C3714yes—
1574C22⋊C4C24×C3714yes—
1575C22⋊C4C24×C3712yes—
1576C22⋊C4C24×C3714yes—
1577C22⋊C4C24×C3712yes—
1578C22⋊C4C24×C3718yes—
1579C22⋊C4C24×C3714yes—
1580C22⋊C4C24×C3714yes—
1581C22⋊C4C24×C3714yes—
1582C22⋊C4C24×C3714yes—
1583C22⋊C4C24×C3714yes—
1584C22⋊C4C24×C3712yes—
1585C22⋊C4C24×C3714yes—
1586C22⋊C4C24×C3714yes—
1587C22⋊C4C24×C3718yes—
1588C22⋊C4C24×C3712yes—
1589C22⋊C4C24×C3714yes—
1590C22⋊C4C24×C3718yes—
1591C22⋊C4C24×C3714yes—
1592C22⋊C4C24×C3718yes—
1593C22⋊C4C24×C3718yes—
1594C22⋊C4C24×C3718yes—
1595C22⋊C4C24×C3718yes—
1596C22⋊C4C24×C3712yes—
1597C22⋊C4C24×C3714yes—
1598C22⋊C4C24×C3712yes—
1599C22⋊C4C24×C3712yes—
1600C22⋊C4C24×C3718yes—
1601C22⋊C4C24×C3714yes—
1602C22⋊C4C24×C3714yes—
1603C22⋊C4C24×C3718yes—
1604C22⋊C4C24×C3712yes—
1605C22⋊C4C24×C3712yes—
1606C22⋊C4C24×C3714yes—
1607C22⋊C4C24×C3714yes—
1608C22⋊C4C24×C3714yes—
1609C22⋊C4C24×C3718yes—
1610C22⋊C4C24×C3718yes—
1611C22⋊C4C24×C3714yes—
1612C42C24×C3712yes—
1613C42C24×C3711yescharacteristic
1614C42C24×C3711yescharacteristic
1615C42C24×C3714yes—
1616C42C24×C3714yes—
1617C42C24×C3712yes—
1618C42C24×C3714yes—
1619C42C24×C3712yes—
1620C42C24×C3711yescharacteristic
1621C42C24×C3712yes—
1622C42C24×C3714yes—
1623C42C24×C3711yescharacteristic
1624C42C24×C3712yes—
1625C42C24×C3714yes—
1626C42C24×C3712yes—
1627C42C24×C3718yes—
1628C23—24no—
1629C23—28no—
1630C23—44no—
1631C23—42no—
1632C23—44no—
1633C23—44no—
1634C23—42no—
1635C23—44no—
1636C23—44no—
1637C23—48no—
1638C23—48no—
1639C23—48no—
1640C23C25×C3712yes—
1641C23C25×C3712yes—
1642C23C25×C3714yes—
1643C23C25×C3712yes—
1644C23C25×C3718yes—
1645C23C25×C3712yes—
1646C23C25×C3711yescharacteristic
1647Q8—24no—
1648Q8—24no—
1649Q8—22no—
1650Q8—24no—
1651Q8—22no—
1652Q8—24no—
1653Q8—44no—
1654Q8—42no—
1655Q8—44no—
1656D4—24no—
1657D4—28no—
1658D4—24no—
1659D4—28no—
1660D4—28no—
1661D4—22no—
1662D4—24no—
1663D4—22no—
1664D4—22no—
1665D4—24no—
1666D4—28no—
1667D4—22no—
1668D4—48no—
1669D4—48no—
1670D4—44no—
1671D4—44no—
1672D4—44no—
1673D4—48no—
1674D4—48no—
1675D4—44no—
1676D4—48no—
1677D4—42no—
1678D4—44no—
1679D4—44no—
1680D4—42no—
1681D4—44no—
1682D4—44no—
1683D4—48no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—48no—
1689D4—44no—
1690D4—44no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—28no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—41no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—48no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—42no—
1718C2×C4H(5,𝔽2)×C3714yes—
1719C2×C4C25×C3711yescharacteristic
1720C2×C4C25×C3714yes—
1721C2×C4C25×C3712yes—
1722C2×C4C25×C3712yes—
1723C2×C4C25×C3711yescharacteristic
1724C2×C4C25×C3712yes—
1725C2×C4C25×C3714yes—
1726C2×C4C25×C3711yescharacteristic
1727C2×C4C25×C3712yes—
1728C2×C4C25×C3712yes—
1729C2×C4C25×C3714yes—
1730C2×C4C25×C3712yes—
1731C2×C4C25×C3714yes—
1732C2×C4C25×C3714yes—
1733C2×C4C25×C3712yes—
1734C2×C4C25×C3712yes—
1735C2×C4C25×C3711yescharacteristic
1736C2×C4C25×C3711yescharacteristic
1737C2×C4C25×C3711yescharacteristic
1738C22—21no—
1739C22—21no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—24no—
1744C22—22no—
1745C22—28no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—28no—
1750C22—22no—
1751C22—24no—
1752C22—22no—
1753C22—24no—
1754C22—22no—
1755C22—28no—
1756C22—22no—
1757C22—22no—
1758C22—84no—
1759C22—88no—
1760C22—88no—
1761C22—168no—
1762C22C2×H(5,𝔽2)×C3712yes—
1763C22C26×C3711yescharacteristic
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—22no—
1772C4—21no—
1773C4—24no—
1774C4—24no—
1775C4—22no—
1776C4—21no—
1777C4—24no—
1778C4—21no—
1779C4—22no—
1780C4C2×H(5,𝔽2)×C3712yes—
1781C4C2×H(5,𝔽2)×C3712yes—
1782C4C37×#58512yes—
1783C2—22no—
1784C2—42no—
1785C2—42no—
1786C2—44no—
1787C2—48no—
1788C2—42no—
1789C2—42no—
1790C2C22×H(5,𝔽2)×C3711yescharacteristic
1791C2C2×C37×#58511yescharacteristic
1792C2C37×H(7,𝔽2)11yescharacteristic
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×#3548C2semidirect
4. C37×#3546C2semidirect
5. C37×#3546C2semidirect
6. C37×#3543C2semidirect
7. C37×#3543C2semidirect
8. C37×#3542C2semidirect
9. C37×#3539C2semidirect
10. C37×#3534C2semidirect
11. C37×#3519C2semidirect
12. C37×#3517C2semidirect
13. C37×#3513C2semidirect
14. C37×#3508C2semidirect
15. C37×#3508C2semidirect
16. C37×#3507C2semidirect
17. C37×#3506C2semidirect
18. C37×#3498C2semidirect
19. C37×#3494C2semidirect
20. C37×#3488C2semidirect
21. C37×#3485C2semidirect
22. C37×#3475C2semidirect
23. D4×#41×C37C2semidirect
24. C2×C37×#550C2semidirect
25. C37×#3461C2semidirect
26. C37×#3449C2semidirect
27. C2×H(5,𝔽2)×C37C22semidirect
28. C22×#41×C37C22semidirect
29. C22×#41×C37C22semidirect
30. C37×#562C22semidirect
31. C37×#562C22semidirect
32. C37×#560C22semidirect
33. C37×#560C22semidirect
34. C37×#560C22semidirect
35. C37×#560C22semidirect
36. C37×#559C22semidirect
37. C37×#559C22semidirect
38. C37×#559C22semidirect
39. C37×#559C22semidirect
40. C37×#559C22semidirect
41. C37×#557C22semidirect
42. C37×#556C22semidirect
43. C37×#556C22semidirect
44. C37×#556C22semidirect
45. C37×#555C22semidirect
46. C37×#555C22semidirect
47. C37×#554C22semidirect
48. C37×#554C22semidirect
49. C37×#554C22semidirect
50. C37×#553C22semidirect
51. C37×#553C22semidirect
52. C37×#553C22semidirect
53. C37×#553C22semidirect
54. C37×#553C22semidirect
55. C37×#553C22semidirect
56. C37×#553C22semidirect
57. C37×#552C22semidirect
58. C37×#552C22semidirect
59. C37×#552C22semidirect
60. C37×#551C22semidirect
61. C37×#551C22semidirect
62. C37×#551C22semidirect
63. C37×#550C22semidirect
64. C37×#550C22semidirect
65. C37×#550C22semidirect
66. C37×#550C22semidirect
67. C37×#550C22semidirect
68. C37×#550C22semidirect
69. C37×#550C22semidirect
70. C37×#550C22semidirect
71. C37×#550C22semidirect
72. C37×#550C22semidirect
73. C37×#550C22semidirect
74. C37×#550C22semidirect
75. C37×#550C22semidirect
76. C37×#550C22semidirect
77. D4×Q8×C37C22semidirect
78. C37×#548C22semidirect
79. C37×#548C22semidirect
80. C37×#547C22semidirect
81. C37×#547C22semidirect
82. C37×#547C22semidirect
83. C37×#547C22semidirect
84. C37×#547C22semidirect
85. C37×#547C22semidirect
86. C37×#547C22semidirect
87. C37×#547C22semidirect
88. C37×#546C22semidirect
89. C37×#546C22semidirect
90. C37×#546C22semidirect
91. C37×#546C22semidirect
92. C37×#546C22semidirect
93. C37×#546C22semidirect
94. C37×#546C22semidirect
95. C37×#546C22semidirect
96. C37×#546C22semidirect
97. C37×#546C22semidirect
98. C37×#546C22semidirect
99. C37×#546C22semidirect
100. C37×#546C22semidirect
101. C37×#546C22semidirect
102. C37×#546C22semidirect
103. D42×C37C22semidirect
104. D42×C37C22semidirect
105. D42×C37C22semidirect
106. D42×C37C22semidirect
107. D42×C37C22semidirect
108. D42×C37C22semidirect
109. D42×C37C22semidirect
110. D42×C37C22semidirect
111. D42×C37C22semidirect
112. C37×#544C22semidirect
113. C37×#542C22semidirect
114. C37×#542C22semidirect
115. C37×#542C22semidirect
116. C37×#542C22semidirect
117. C37×#541C22semidirect
118. C37×#541C22semidirect
119. C37×#540C22semidirect
120. C37×#540C22semidirect
121. C37×#540C22semidirect
122. C37×#540C22semidirect
123. C37×#540C22semidirect
124. C37×#540C22semidirect
125. C37×#540C22semidirect
126. C37×#540C22semidirect
127. C37×#539C22semidirect
128. C37×#539C22semidirect
129. C37×#539C22semidirect
130. C37×#539C22semidirect
131. C37×#538C22semidirect
132. C37×#538C22semidirect
133. C37×#538C22semidirect
134. C37×#538C22semidirect
136. C37×#537C22semidirect
137. C37×#537C22semidirect
138. C37×#537C22semidirect
139. C37×#537C22semidirect
140. C37×#536C22semidirect
141. C37×#536C22semidirect
142. C37×#536C22semidirect
143. C37×#536C22semidirect
144. C37×#535C22semidirect
145. C37×#535C22semidirect
146. C37×#535C22semidirect
147. C37×#535C22semidirect
148. C37×#535C22semidirect
149. C37×#535C22semidirect
150. C37×#535C22semidirect
151. C37×#535C22semidirect
152. C37×#534C22semidirect
153. C37×#534C22semidirect
154. C37×#534C22semidirect
155. C37×#533C22semidirect
156. C37×#533C22semidirect
157. C37×#533C22semidirect
159. C37×#532C22semidirect
160. C37×#532C22semidirect
161. C37×#532C22semidirect
162. C37×#532C22semidirect
163. C37×#532C22semidirect
164. C37×#532C22semidirect
165. C37×#532C22semidirect
166. C2×#127×C37C22semidirect
167. C2×#127×C37C22semidirect
168. C2×#127×C37C22semidirect
169. C37×#529C22semidirect
170. C37×#529C22semidirect
171. C37×#529C22semidirect
172. C37×#529C22semidirect
173. C37×#529C22semidirect
174. C37×#529C22semidirect
175. C37×#529C22semidirect
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×#121×C37C22semidirect
185. C2×#121×C37C22semidirect
186. C2×#121×C37C22semidirect
187. C37×#520C22semidirect
188. C37×#520C22semidirect
189. C37×#518C22semidirect
190. C37×#518C22semidirect
191. C4×#41×C37C22semidirect
192. C4×#41×C37C22semidirect
193. C4×#41×C37C22semidirect
194. C2×C4×Q8×C37C22semidirect
195. C2×C4×D4×C37C22semidirect
196. C2×C4×D4×C37C22semidirect
197. C2×C4×D4×C37C22semidirect
198. C2×#117×C37C22semidirect
841. #62955C37direct (N × H)
887. #3562C2×C37semidirect
888. #3554C2×C37semidirect
889. #3548C2×C37semidirect
890. #3546C2×C37semidirect
891. #3546C2×C37semidirect
892. #3543C2×C37semidirect
893. #3543C2×C37semidirect
894. #3542C2×C37semidirect
895. #3539C2×C37semidirect
896. #3534C2×C37semidirect
897. #3519C2×C37semidirect
898. #3517C2×C37semidirect
899. #3513C2×C37semidirect
900. #3508C2×C37semidirect
901. #3508C2×C37semidirect
902. #3507C2×C37semidirect
903. #3506C2×C37semidirect
904. #3498C2×C37semidirect
905. #3494C2×C37semidirect
906. #3488C2×C37semidirect
907. #3485C2×C37semidirect
908. #3475C2×C37semidirect
909. D4×#41C2×C37semidirect
910. C2×#550C2×C37semidirect
911. #3461C2×C37semidirect
912. #3449C2×C37semidirect
923. C2×H(5,𝔽2)C22×C37semidirect
924. C22×#41C22×C37semidirect
925. C22×#41C22×C37semidirect
926. #562C22×C37semidirect
927. #562C22×C37semidirect
928. #560C22×C37semidirect
929. #560C22×C37semidirect
930. #560C22×C37semidirect
931. #560C22×C37semidirect
932. #559C22×C37semidirect
933. #559C22×C37semidirect
934. #559C22×C37semidirect
935. #559C22×C37semidirect
936. #559C22×C37semidirect
937. #557C22×C37semidirect
938. #556C22×C37semidirect
939. #556C22×C37semidirect
940. #556C22×C37semidirect
941. #555C22×C37semidirect
942. #555C22×C37semidirect
943. #554C22×C37semidirect
944. #554C22×C37semidirect
945. #554C22×C37semidirect
946. #553C22×C37semidirect
947. #553C22×C37semidirect
948. #553C22×C37semidirect
949. #553C22×C37semidirect
950. #553C22×C37semidirect
951. #553C22×C37semidirect
952. #553C22×C37semidirect
953. #552C22×C37semidirect
954. #552C22×C37semidirect
955. #552C22×C37semidirect
956. #551C22×C37semidirect
957. #551C22×C37semidirect
958. #551C22×C37semidirect
959. #550C22×C37semidirect
960. #550C22×C37semidirect
961. #550C22×C37semidirect
962. #550C22×C37semidirect
963. #550C22×C37semidirect
964. #550C22×C37semidirect
965. #550C22×C37semidirect
966. #550C22×C37semidirect
967. #550C22×C37semidirect
968. #550C22×C37semidirect
969. #550C22×C37semidirect
970. #550C22×C37semidirect
971. #550C22×C37semidirect
972. #550C22×C37semidirect
973. D4×Q8C22×C37semidirect
974. #548C22×C37semidirect
975. #548C22×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. #546C22×C37semidirect
985. #546C22×C37semidirect
986. #546C22×C37semidirect
987. #546C22×C37semidirect
988. #546C22×C37semidirect
989. #546C22×C37semidirect
990. #546C22×C37semidirect
991. #546C22×C37semidirect
992. #546C22×C37semidirect
993. #546C22×C37semidirect
994. #546C22×C37semidirect
995. #546C22×C37semidirect
996. #546C22×C37semidirect
997. #546C22×C37semidirect
998. #546C22×C37semidirect
999. D42C22×C37semidirect
1000. D42C22×C37semidirect
1001. D42C22×C37semidirect
1002. D42C22×C37semidirect
1003. D42C22×C37semidirect
1004. D42C22×C37semidirect
1005. D42C22×C37semidirect
1006. D42C22×C37semidirect
1007. D42C22×C37semidirect
1008. #544C22×C37semidirect
1009. #542C22×C37semidirect
1010. #542C22×C37semidirect
1011. #542C22×C37semidirect
1012. #542C22×C37semidirect
1013. #541C22×C37semidirect
1014. #541C22×C37semidirect
1015. #540C22×C37semidirect
1016. #540C22×C37semidirect
1017. #540C22×C37semidirect
1018. #540C22×C37semidirect
1019. #540C22×C37semidirect
1020. #540C22×C37semidirect
1021. #540C22×C37semidirect
1022. #540C22×C37semidirect
1023. #539C22×C37semidirect
1024. #539C22×C37semidirect
1025. #539C22×C37semidirect
1026. #539C22×C37semidirect
1027. #538C22×C37semidirect
1028. #538C22×C37semidirect
1029. #538C22×C37semidirect
1030. #538C22×C37semidirect
1032. #537C22×C37semidirect
1033. #537C22×C37semidirect
1034. #537C22×C37semidirect
1035. #537C22×C37semidirect
1036. #536C22×C37semidirect
1037. #536C22×C37semidirect
1038. #536C22×C37semidirect
1039. #536C22×C37semidirect
1040. #535C22×C37semidirect
1041. #535C22×C37semidirect
1042. #535C22×C37semidirect
1043. #535C22×C37semidirect
1044. #535C22×C37semidirect
1045. #535C22×C37semidirect
1046. #535C22×C37semidirect
1047. #535C22×C37semidirect
1048. #534C22×C37semidirect
1049. #534C22×C37semidirect
1050. #534C22×C37semidirect
1051. #533C22×C37semidirect
1052. #533C22×C37semidirect
1053. #533C22×C37semidirect
1055. #532C22×C37semidirect
1056. #532C22×C37semidirect
1057. #532C22×C37semidirect
1058. #532C22×C37semidirect
1059. #532C22×C37semidirect
1060. #532C22×C37semidirect
1061. #532C22×C37semidirect
1062. C2×#127C22×C37semidirect
1063. C2×#127C22×C37semidirect
1064. C2×#127C22×C37semidirect
1065. #529C22×C37semidirect
1066. #529C22×C37semidirect
1067. #529C22×C37semidirect
1068. #529C22×C37semidirect
1069. #529C22×C37semidirect
1070. #529C22×C37semidirect
1071. #529C22×C37semidirect
1072. #525C22×C37semidirect
1073. #525C22×C37semidirect
1074. #525C22×C37semidirect
1075. #525C22×C37semidirect
1076. #525C22×C37semidirect
1077. #525C22×C37semidirect
1078. #525C22×C37semidirect
1079. C2×#123C22×C37semidirect
1080. C2×#121C22×C37semidirect
1081. C2×#121C22×C37semidirect
1082. C2×#121C22×C37semidirect
1083. #520C22×C37semidirect
1084. #520C22×C37semidirect
1085. #518C22×C37semidirect
1086. #518C22×C37semidirect
1087. C4×#41C22×C37semidirect
1088. C4×#41C22×C37semidirect
1089. C4×#41C22×C37semidirect
1090. C2×C4×Q8C22×C37semidirect
1091. C2×C4×D4C22×C37semidirect
1092. C2×C4×D4C22×C37semidirect
1093. C2×C4×D4C22×C37semidirect
1094. C2×#117C22×C37semidirect
1095. C37#62955direct (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×#35482
C37×#35462
C37×#35432
C37×#35422
C37×#35392
C37×#35342
C37×#35192
C37×#35172
C37×#35132
C37×#35082
C37×#35072
C37×#35062
C37×#34982
C37×#34942
C37×#34882
C37×#34852
C37×#34752
D4×#41×C372
C2×C37×#5502
C37×#34612
C37×#34492
#6295537