Finite Group Databasebeta

← C37×#62892 #22684145

Subgroups — C37×#62892 #22684145

Order 9472.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3558C212yesmaximal, complemented
2C37×#3543C214yesmaximal, complemented
3C37×#3542C214yesmaximal, complemented
4C37×#3537C214yesmaximal, complemented
5C37×#3537C212yesmaximal, complemented
6C37×#3534C218yesmaximal, complemented
7C37×#3534C214yesmaximal, complemented
8C37×#3532C218yesmaximal, complemented
9C37×#3519C212yesmaximal, complemented
10C37×#3513C214yesmaximal, complemented
11C37×#3505C212yesmaximal, complemented
12C37×#3496C211yesmaximal, characteristic, complemented
13C37×#3490C212yesmaximal, complemented
14C37×#3488C212yesmaximal, complemented
15C37×#3484C214yesmaximal, complemented
16C37×#3484C214yesmaximal, complemented
17C2×C37×#546C211yesmaximal, characteristic, complemented
18C2×D42×C37C212yesmaximal, complemented
19C37×#3459C211yesmaximal, characteristic, complemented
20C2×C37×#534C212yesmaximal, complemented
21C2×H(5,𝔽2)×C37C2212yescomplemented
22C2×H(5,𝔽2)×C37C2212yescomplemented
23C22×#41×C37C2211yescharacteristic, complemented
24C23×D4×C37C2211yescharacteristic, complemented
25C23×D4×C37C2214yescomplemented
26C23×D4×C37C2212yescomplemented
27C37×#562C2218yescomplemented
28C37×#562C2214yescomplemented
29C37×H(3,𝔽4)C2214yescomplemented
30C37×#560C2218yescomplemented
31C37×#560C2218yescomplemented
32C37×#560C2218yescomplemented
33C37×#560C2218yescomplemented
34C37×#559C2214yescomplemented
35C37×#555C2212yescomplemented
36C37×#554C2212yescomplemented
37C37×#553C2218yescomplemented
38C37×#553C2214yescomplemented
39C37×#553C2214yescomplemented
40C37×#553C2218yescomplemented
41C37×#553C2214yescomplemented
42C37×#552C2214yescomplemented
43C37×#551C2218yescomplemented
44C37×#551C2218yescomplemented
45C37×#551C2218yescomplemented
46C37×#551C2218yescomplemented
47C37×#550C2214yescomplemented
48C37×#550C2212yescomplemented
49C37×#548C2214yescomplemented
50C37×#547C2214yescomplemented
51C37×#546C2214yescomplemented
52C37×#546C2214yescomplemented
53C37×#546C2214yescomplemented
54C37×#546C2218yescomplemented
55C37×#546C2218yescomplemented
56C37×#546C2218yescomplemented
57C37×#546C2218yescomplemented
58C37×#546C2218yescomplemented
59C37×#546C2214yescomplemented
60C37×#546C2218yescomplemented
61C37×#546C2218yescomplemented
62C37×#546C2214yescomplemented
63C37×#546C2218yescomplemented
64C37×#546C2218yescomplemented
65C37×#546C2218yescomplemented
66C37×#546C2214yescomplemented
67D42×C37C2214yescomplemented
68D42×C37C2218yescomplemented
69D42×C37C2214yescomplemented
70D42×C37C2214yescomplemented
71D42×C37C2212yescomplemented
72D42×C37C2218yescomplemented
73D42×C37C2218yescomplemented
74D42×C37C2218yescomplemented
75D42×C37C2218yescomplemented
76D42×C37C2214yescomplemented
77D42×C37C2214yescomplemented
78D42×C37C2214yescomplemented
79D42×C37C2218yescomplemented
80D42×C37C2218yescomplemented
81C37×#543C2211yescharacteristic, complemented
82C37×#542C2214yescomplemented
83C37×#540C2214yescomplemented
84C37×#540C2214yescomplemented
85C37×#540C2218yescomplemented
86C37×#540C2218yescomplemented
87C37×#539C2214yescomplemented
88C37×#539C2212yescomplemented
89C37×#539C2214yescomplemented
90C37×#539C2218yescomplemented
91C37×#538C2214yescomplemented
92C37×#538C2218yescomplemented
93C37×#538C2212yescomplemented
94C37×#538C2214yescomplemented
95C37×#538C2214yescomplemented
96C37×#538C2214yescomplemented
97C37×#538C2218yescomplemented
98C37×#538C2218yescomplemented
99C37×#538C2218yescomplemented
100C37×#538C2214yescomplemented
101C37×#537C2214yescomplemented
102C37×#537C2212yescomplemented
103C37×#537C2212yescomplemented
104C37×#535C2218yescomplemented
105C37×#535C2214yescomplemented
106C37×#535C2214yescomplemented
107C37×#535C2214yescomplemented
108C37×#535C2212yescomplemented
109C37×#535C2218yescomplemented
110C37×#534C2211yescharacteristic, complemented
111C37×#534C2214yescomplemented
112C37×#534C2212yescomplemented
113C37×#534C2212yescomplemented
114C37×#534C2218yescomplemented
115C37×#534C2218yescomplemented
116C37×#534C2218yescomplemented
117C37×#534C2218yescomplemented
118C37×#534C2214yescomplemented
119C37×#534C2214yescomplemented
120C37×#534C2218yescomplemented
121C37×#534C2212yescomplemented
122C37×#534C2214yescomplemented
123C37×#532C2212yescomplemented
124C2×#127×C37C2212yescomplemented
125C37×#529C2214yescomplemented
126C37×#529C2212yescomplemented
127C37×#529C2214yescomplemented
128C2×#124×C37C2211yescharacteristic, complemented
129C37×#525C2214yescomplemented
130C37×#525C2218yescomplemented
131C37×#525C2212yescomplemented
132C37×#525C2214yescomplemented
133C37×#525C2214yescomplemented
134C37×#525C2214yescomplemented
135C2×#123×C37C2218yescomplemented
136C2×#123×C37C2212yescomplemented
137C2×C22⋊Q8×C37C2211yescharacteristic, complemented
138C2×#121×C37C2212yescomplemented
139C2×#121×C37C2214yescomplemented
140C2×#121×C37C2212yescomplemented
141C2×#121×C37C2214yescomplemented
142C2×#121×C37C2214yescomplemented
143C2×#121×C37C2212yescomplemented
144C2×#121×C37C2211yescharacteristic, complemented
145C2×#121×C37C2212yescomplemented
146C2×#120×C37C2214yescomplemented
147C2×#120×C37C2212yescomplemented
148C2×#120×C37C2218yescomplemented
149C2×#120×C37C2214yescomplemented
150C2×#120×C37C2218yescomplemented
151C37×#520C2212yescomplemented
152C37×#518C2214yescomplemented
153C37×#518C2214yescomplemented
154C2×C4×D4×C37C2212yescomplemented
155C2×C4×D4×C37C2211yescharacteristic, complemented
156C2×C4×D4×C37C2212yescomplemented
157C2×C4×D4×C37C2211yescharacteristic, complemented
158C22×C22⋊C4×C37C2212yescomplemented
159C25×C37C2312yes—
160C25×C37C2314yescomplemented
161H(5,𝔽2)×C37—48no—
162H(5,𝔽2)×C37—48no—
163C2×#41×C37—44no—
164C2×#41×C37C2312yes—
165C2×#41×C37C2312yescomplemented
166C2×#41×C37C2318yescomplemented
167C2×#41×C37C2314yescomplemented
168C2×#41×C37C2314yescomplemented
169C2×#41×C37C2314yescomplemented
170C2×#41×C37C2314yescomplemented
171C2×#41×C37C2312yescomplemented
172C2×#41×C37C2314yescomplemented
173C22×Q8×C37C2311yescharacteristic, complemented
174C22×D4×C37—44no—
175C22×D4×C37—48no—
176C22×D4×C37—416no—
177C22×D4×C37C2311yescharacteristic
178C22×D4×C37C2314yes—
179C22×D4×C37C2312yes—
180C22×D4×C37C2311yescharacteristic
181C22×D4×C37C2314yes—
182C22×D4×C37C2312yes—
183C22×D4×C37C2314yes—
184C22×D4×C37C2318yes—
185C22×D4×C37C2312yes—
186C22×D4×C37C2311yescharacteristic
187C22×D4×C37C2312yes—
188C22×D4×C37C2318yes—
189C22×D4×C37C2314yescomplemented
190C22×D4×C37C2314yescomplemented
191C22×D4×C37C2312yescomplemented
192C22×D4×C37C2314yescomplemented
193C22×D4×C37C2318yescomplemented
194C22×D4×C37C2318yescomplemented
195C22×D4×C37C2318yescomplemented
196C22×D4×C37C2314yescomplemented
197C22×D4×C37C2312yescomplemented
198C22×D4×C37C2314yescomplemented
199C22×D4×C37C2312yescomplemented
200C22×D4×C37C2318yescomplemented
201C22×D4×C37C2318yescomplemented
202C22×D4×C37C2314yescomplemented
203C22×D4×C37C2314yescomplemented
204C22×D4×C37C2314yescomplemented
205C22×D4×C37C2312yescomplemented
206C22×D4×C37C2318yescomplemented
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic, complemented
209C23×C4×C37C2312yescomplemented
210C23×C4×C37C2314yescomplemented
211C23×C4×C37C2312yescomplemented
212C23×C4×C37C2312yescomplemented
213C4⋊Q8×C37C2312yescomplemented
214#127×C37C2314yes—
215#127×C37C2314yescomplemented
216#127×C37C2318yescomplemented
217#127×C37C2312yescomplemented
218#127×C37C2318yescomplemented
219#127×C37C2318yescomplemented
220#126×C37C2314yescomplemented
221#126×C37C2314yescomplemented
222#126×C37C2318yescomplemented
223#126×C37C2314yescomplemented
224#126×C37C2318yescomplemented
225#126×C37C2318yescomplemented
226#126×C37C2318yescomplemented
227#126×C37C2318yescomplemented
228#125×C37C2314yescomplemented
229#125×C37C2312yescomplemented
230#125×C37C2314yescomplemented
231#125×C37C2318yescomplemented
232#124×C37C2314yescomplemented
233#124×C37C2314yescomplemented
234#124×C37C2314yescomplemented
235#124×C37C2314yescomplemented
236#124×C37C2312yescomplemented
237#124×C37C2314yescomplemented
238#124×C37C2318yescomplemented
239#124×C37C2318yescomplemented
240#124×C37C2318yescomplemented
241#124×C37C2318yescomplemented
242#124×C37C2318yescomplemented
243#123×C37C2314yes—
244#123×C37C2318yes—
245#123×C37C2318yescomplemented
246#123×C37C2318yescomplemented
247#123×C37C2318yescomplemented
248#123×C37C2318yescomplemented
249#123×C37C2318yescomplemented
250#123×C37C2318yescomplemented
251#123×C37C2318yescomplemented
252#123×C37C2318yescomplemented
253#123×C37C2314yescomplemented
254#123×C37C2314yescomplemented
255#123×C37C2314yescomplemented
256#123×C37C2318yescomplemented
257#123×C37C2318yescomplemented
258#123×C37C2314yescomplemented
259#123×C37C2318yescomplemented
260#123×C37C2314yescomplemented
261#123×C37C2318yescomplemented
262#123×C37C2318yescomplemented
263#123×C37C2318yescomplemented
264#123×C37C2318yescomplemented
265#123×C37C2318yescomplemented
266#123×C37C2318yescomplemented
267#123×C37C2318yescomplemented
268C22⋊Q8×C37C2314yescomplemented
269C22⋊Q8×C37C2314yescomplemented
270C22⋊Q8×C37C2312yescomplemented
271C22⋊Q8×C37C2312yescomplemented
272C22⋊Q8×C37C2312yescomplemented
273C22⋊Q8×C37C2314yescomplemented
274C22⋊Q8×C37C2314yescomplemented
275C22⋊Q8×C37C2314yescomplemented
276C22⋊Q8×C37C2318yescomplemented
277C22⋊Q8×C37C2314yescomplemented
278C22⋊Q8×C37C2318yescomplemented
279C22⋊Q8×C37C2314yescomplemented
280C22⋊Q8×C37C2314yescomplemented
281C22⋊Q8×C37C2318yescomplemented
282C22⋊Q8×C37C2318yescomplemented
283#121×C37C2312yes—
284#121×C37C2312yes—
285#121×C37C2314yes—
286#121×C37C2318yes—
287#121×C37C2314yes—
288#121×C37C2314yes—
289#121×C37C2314yes—
290#121×C37C2314yes—
291#121×C37C2314yescomplemented
292#121×C37C2314yescomplemented
293#121×C37C2314yescomplemented
294#121×C37C2314yescomplemented
295#121×C37C2314yescomplemented
296#121×C37C2318yescomplemented
297#121×C37C2318yescomplemented
298#121×C37C2318yescomplemented
299#121×C37C2318yescomplemented
300#121×C37C2314yescomplemented
301#121×C37C2314yescomplemented
302#121×C37C2314yescomplemented
303#121×C37C2318yescomplemented
304#121×C37C2314yescomplemented
305#121×C37C2314yescomplemented
306#121×C37C2314yescomplemented
307#121×C37C2314yescomplemented
308#121×C37C2318yescomplemented
309#121×C37C2318yescomplemented
310#121×C37C2314yescomplemented
311#121×C37C2318yescomplemented
312#121×C37C2318yescomplemented
313#121×C37C2318yescomplemented
314#121×C37C2312yescomplemented
315#121×C37C2314yescomplemented
316#121×C37C2318yescomplemented
317#121×C37C2314yescomplemented
318#121×C37C2314yescomplemented
319#121×C37C2314yescomplemented
320#121×C37C2318yescomplemented
321#121×C37C2318yescomplemented
322#121×C37C2318yescomplemented
323#121×C37C2318yescomplemented
324#121×C37C2318yescomplemented
325#121×C37C2318yescomplemented
326#121×C37C2318yescomplemented
327#121×C37C2318yescomplemented
328#121×C37C2318yescomplemented
329#121×C37C2318yescomplemented
330#121×C37C2318yescomplemented
331#121×C37C2318yescomplemented
332#121×C37C2318yescomplemented
333#120×C37C2314yes—
334#120×C37C2318yes—
335#120×C37C2318yes—
336#120×C37C2318yes—
337#120×C37C2318yes—
338#120×C37C2318yescomplemented
339#120×C37C2314yescomplemented
340#120×C37C2318yescomplemented
341#120×C37C2318yescomplemented
342#120×C37C2318yescomplemented
343#120×C37C2318yescomplemented
344#120×C37C2318yescomplemented
345#120×C37C2318yescomplemented
346#120×C37C2318yescomplemented
347#120×C37C2318yescomplemented
348#120×C37C2318yescomplemented
349#120×C37C2318yescomplemented
350#120×C37C2318yescomplemented
351#120×C37C2318yescomplemented
352#120×C37C2318yescomplemented
353#120×C37C2318yescomplemented
354#120×C37C2318yescomplemented
355#120×C37C2318yescomplemented
356#120×C37C2314yescomplemented
357#120×C37C2318yescomplemented
358#120×C37C2318yescomplemented
359#120×C37C2318yescomplemented
360C4×Q8×C37C2314yescomplemented
361C4×Q8×C37C2312yescomplemented
362C4×D4×C37C2314yes—
363C4×D4×C37C2314yes—
364C4×D4×C37C2314yes—
365C4×D4×C37C2312yes—
366C4×D4×C37C2318yescomplemented
367C4×D4×C37C2312yescomplemented
368C4×D4×C37C2314yescomplemented
369C4×D4×C37C2314yescomplemented
370C4×D4×C37C2314yescomplemented
371C4×D4×C37C2318yescomplemented
372C4×D4×C37C2318yescomplemented
373C4×D4×C37C2318yescomplemented
374C4×D4×C37C2318yescomplemented
375C4×D4×C37C2318yescomplemented
376C4×D4×C37C2318yescomplemented
377C4×D4×C37C2318yescomplemented
378C4×D4×C37C2318yescomplemented
379C4×D4×C37C2318yescomplemented
380C4×D4×C37C2318yescomplemented
381C4×D4×C37C2314yescomplemented
382C4×D4×C37C2314yescomplemented
383C4×D4×C37C2314yescomplemented
384C4×D4×C37C2314yescomplemented
385C4×D4×C37C2318yescomplemented
386C4×D4×C37C2314yescomplemented
387C4×D4×C37C2314yescomplemented
388C4×D4×C37C2312yescomplemented
389C4×D4×C37C2314yescomplemented
390#117×C37C2312yescomplemented
391#117×C37C2314yescomplemented
392#117×C37C2314yescomplemented
393#117×C37C2318yescomplemented
394#117×C37C2314yescomplemented
395#117×C37C2314yescomplemented
396#117×C37C2318yescomplemented
397C2×C4⋊C4×C37C2314yescomplemented
398C2×C4⋊C4×C37C2312yescomplemented
399C2×C4⋊C4×C37C2312yescomplemented
400C2×C4⋊C4×C37C2312yescomplemented
401C2×C4⋊C4×C37C2312yescomplemented
402C2×C4⋊C4×C37C2311yescharacteristic, complemented
403C2×C4⋊C4×C37C2314yescomplemented
404C2×C4⋊C4×C37C2311yescharacteristic, complemented
405C2×C22⋊C4×C37C2312yes—
406C2×C22⋊C4×C37C2312yes—
407C2×C22⋊C4×C37C2311yescharacteristic
408C2×C22⋊C4×C37C2312yescomplemented
409C2×C22⋊C4×C37C2314yescomplemented
410C2×C22⋊C4×C37C2314yescomplemented
411C2×C22⋊C4×C37C2314yescomplemented
412C2×C22⋊C4×C37C2318yescomplemented
413C2×C22⋊C4×C37C2318yescomplemented
414C2×C22⋊C4×C37C2312yescomplemented
415C2×C22⋊C4×C37C2312yescomplemented
416C2×C22⋊C4×C37C2318yescomplemented
417C2×C22⋊C4×C37C2318yescomplemented
418C2×C22⋊C4×C37C2318yescomplemented
419C2×C22⋊C4×C37C2318yescomplemented
420C2×C22⋊C4×C37C2311yescharacteristic, complemented
421C2×C22⋊C4×C37C2312yescomplemented
422C2×C22⋊C4×C37C2312yescomplemented
423C2×C22⋊C4×C37C2314yescomplemented
424C2×C22⋊C4×C37C2318yescomplemented
425C2×C42×C37C2311yescharacteristic, complemented
426C2×C42×C37C2312yescomplemented
427C24×C37—28no—
428C24×C37—44no—
429C24×C37—48no—
430C24×C37—48no—
431C24×C37—82no—
432C24×C37—84no—
433C24×C37C2414yes—
434C24×C37C2412yes—
435C24×C37C2414yes—
436C24×C37C2414yes—
437C24×C37C2418yes—
438C24×C37C2412yes—
439C24×C37C2412yes—
440C24×C37C2411yescharacteristic
441C24×C37C2418yes—
442C24×C37C2414yes—
443C24×C37C2411yescharacteristic
444#41×C37—28no—
445#41×C37—44no—
446#41×C37—48no—
447#41×C37—416no—
448#41×C37—48no—
449#41×C37—48no—
450#41×C37—44no—
451#41×C37—48no—
452#41×C37—84no—
453C2×Q8×C37—42no—
454C2×Q8×C37C2412yes—
455C2×Q8×C37C2412yes—
456C2×Q8×C37C2412yes—
457C2×Q8×C37C2412yes—
458C2×Q8×C37C2414yes—
459C2×D4×C37—28no—
460C2×D4×C37—216no—
461C2×D4×C37—24no—
462C2×D4×C37—28no—
463C2×D4×C37—24no—
464C2×D4×C37—216no—
465C2×D4×C37—44no—
466C2×D4×C37—42no—
467C2×D4×C37—44no—
468C2×D4×C37—48no—
469C2×D4×C37—44no—
470C2×D4×C37—48no—
471C2×D4×C37—48no—
472C2×D4×C37—48no—
473C2×D4×C37—44no—
474C2×D4×C37—416no—
475C2×D4×C37—416no—
476C2×D4×C37—48no—
477C2×D4×C37—416no—
478C2×D4×C37—416no—
479C2×D4×C37—416no—
480C2×D4×C37—48no—
481C2×D4×C37—44no—
482C2×D4×C37—48no—
483C2×D4×C37—416no—
484C2×D4×C37—416no—
485C2×D4×C37—82no—
486C2×D4×C37—84no—
487C2×D4×C37—84no—
488C2×D4×C37—88no—
489C2×D4×C37C2414yes—
490C2×D4×C37C2418yes—
491C2×D4×C37C2414yes—
492C2×D4×C37C2418yes—
493C2×D4×C37C2414yes—
494C2×D4×C37C2412yes—
495C2×D4×C37C2414yes—
496C2×D4×C37C2418yes—
497C2×D4×C37C2414yes—
498C2×D4×C37C2412yes—
499C2×D4×C37C2414yes—
500C2×D4×C37C2411yescharacteristic
501C2×D4×C37C2412yes—
502C2×D4×C37C2418yes—
503C2×D4×C37C2418yes—
504C2×D4×C37C2418yes—
505C2×D4×C37C2414yes—
506C2×D4×C37C2414yes—
507C2×D4×C37C2418yes—
508C2×D4×C37C2412yes—
509C2×D4×C37C2418yes—
510C2×D4×C37C2418yes—
511C2×D4×C37C2418yes—
512C2×D4×C37C2414yes—
513C2×D4×C37C2414yes—
514C2×D4×C37C2412yes—
515C2×D4×C37C2414yes—
516C2×D4×C37C2414yes—
517C2×D4×C37C2418yes—
518C2×D4×C37C2418yes—
519C2×D4×C37C2414yes—
520C2×D4×C37C2418yes—
521C2×D4×C37C2414yes—
522C2×D4×C37C2418yes—
523C2×D4×C37C2411yescharacteristic
524C22×C4×C37—42no—
525C22×C4×C37—44no—
526C22×C4×C37—42no—
527C22×C4×C37—48no—
528C22×C4×C37—44no—
529C22×C4×C37—82no—
530C22×C4×C37C2411yescharacteristic
531C22×C4×C37C2412yes—
532C22×C4×C37C2411yescharacteristic
533C22×C4×C37C2412yes—
534C22×C4×C37C2414yes—
535C22×C4×C37C2414yes—
536C22×C4×C37C2412yes—
537C22×C4×C37C2414yes—
538C22×C4×C37C2412yes—
539C22×C4×C37C2411yescharacteristic
540C22×C4×C37C2412yes—
541C22×C4×C37C2412yes—
542C22×C4×C37C2412yes—
543C22×C4×C37C2411yescharacteristic
544C22×C4×C37C2414yes—
545C22×C4×C37C2412yes—
546C22×C4×C37C2418yes—
547C22×C4×C37C2418yes—
548C22×C4×C37C2414yes—
549C22×C4×C37C2418yes—
550C22×C4×C37C2418yes—
551C22×C4×C37C2412yes—
552C22×C4×C37C2414yes—
553C22×C4×C37C2411yescharacteristic
554C22×C4×C37C2414yes—
555C22×C4×C37C2414yes—
556C22×C4×C37C2418yes—
557C4⋊C4×C37C2414yes—
558C4⋊C4×C37C2412yes—
559C4⋊C4×C37C2414yes—
560C4⋊C4×C37C2412yes—
561C4⋊C4×C37C2412yes—
562C4⋊C4×C37C2418yes—
563C4⋊C4×C37C2418yes—
564C4⋊C4×C37C2414yes—
565C4⋊C4×C37C2414yes—
566C4⋊C4×C37C2414yes—
567C4⋊C4×C37C2414yes—
568C4⋊C4×C37C2414yes—
569C4⋊C4×C37C2412yes—
570C4⋊C4×C37C2418yes—
571C4⋊C4×C37C2412yes—
572C4⋊C4×C37C2412yes—
573C4⋊C4×C37C2414yes—
574C4⋊C4×C37C2418yes—
575C4⋊C4×C37C2414yes—
576C4⋊C4×C37C2418yes—
577C4⋊C4×C37C2414yes—
578C4⋊C4×C37C2414yes—
579C22⋊C4×C37C2414yes—
580C22⋊C4×C37C2418yes—
581C22⋊C4×C37C2414yes—
582C22⋊C4×C37C2414yes—
583C22⋊C4×C37C2414yes—
584C22⋊C4×C37C2418yes—
585C22⋊C4×C37C2418yes—
586C22⋊C4×C37C2418yes—
587C22⋊C4×C37C2414yes—
588C22⋊C4×C37C2414yes—
589C22⋊C4×C37C2418yes—
590C22⋊C4×C37C2418yes—
591C22⋊C4×C37C2414yes—
592C22⋊C4×C37C2414yes—
593C22⋊C4×C37C2418yes—
594C22⋊C4×C37C2418yes—
595C22⋊C4×C37C2418yes—
596C22⋊C4×C37C2418yes—
597C22⋊C4×C37C2418yes—
598C22⋊C4×C37C2418yes—
599C22⋊C4×C37C2418yes—
600C22⋊C4×C37C2414yes—
601C22⋊C4×C37C2414yes—
602C22⋊C4×C37C2418yes—
603C22⋊C4×C37C2418yes—
604C22⋊C4×C37C2418yes—
605C22⋊C4×C37C2418yes—
606C22⋊C4×C37C2418yes—
607C22⋊C4×C37C2414yes—
608C22⋊C4×C37C2414yes—
609C22⋊C4×C37C2414yes—
610C22⋊C4×C37C2414yes—
611C42×C37C2414yes—
612C42×C37C2412yes—
613C42×C37C2414yes—
614C42×C37C2412yes—
615C42×C37C2418yes—
616C42×C37C2418yes—
617C23×C37—24no—
618C23×C37—28no—
619C23×C37—28no—
620C23×C37—24no—
621C23×C37—24no—
622C23×C37—22no—
623C23×C37—216no—
624C23×C37—28no—
625C23×C37—24no—
626C23×C37—28no—
627C23×C37—41no—
628C23×C37—42no—
629C23×C37—42no—
630C23×C37—41no—
631C23×C37—44no—
632C23×C37—42no—
633C23×C37—41no—
634C23×C37—42no—
635C23×C37—44no—
636C23×C37—44no—
637C23×C37—48no—
638C23×C37—48no—
639C23×C37—48no—
640C23×C37—41no—
641C23×C37—42no—
642C23×C37—48no—
643C23×C37—44no—
644C23×C37—44no—
645C23×C37—48no—
646C23×C37—44no—
647C23×C37—44no—
648C23×C37—44no—
649C23×C37—816no—
650C23×C37—832no—
651C23×C37H(5,𝔽2)14yescomplemented
652C23×C37C2514yes—
653C23×C37C2514yes—
654C23×C37C2518yes—
655C23×C37C2512yes—
656C23×C37C2512yes—
657C23×C37C2512yes—
658C23×C37C2512yes—
659C23×C37C2511yescharacteristic
660Q8×C37—24no—
661Q8×C37—42no—
662Q8×C37—42no—
663Q8×C37—44no—
664Q8×C37—42no—
665D4×C37—28no—
666D4×C37—28no—
667D4×C37—28no—
668D4×C37—216no—
669D4×C37—216no—
670D4×C37—216no—
671D4×C37—28no—
672D4×C37—24no—
673D4×C37—28no—
674D4×C37—24no—
675D4×C37—28no—
676D4×C37—22no—
677D4×C37—44no—
678D4×C37—48no—
679D4×C37—44no—
680D4×C37—48no—
681D4×C37—48no—
682D4×C37—48no—
683D4×C37—48no—
684D4×C37—42no—
685D4×C37—42no—
686D4×C37—44no—
687D4×C37—44no—
688D4×C37—48no—
689D4×C37—44no—
690D4×C37—48no—
691D4×C37—44no—
692D4×C37—48no—
693D4×C37—48no—
694D4×C37—42no—
695D4×C37—48no—
696D4×C37—44no—
697D4×C37—44no—
698D4×C37—48no—
699D4×C37H(5,𝔽2)14yescomplemented
700C2×C4×C37—24no—
701C2×C4×C37—28no—
702C2×C4×C37—28no—
703C2×C4×C37—22no—
704C2×C4×C37—24no—
705C2×C4×C37—22no—
706C2×C4×C37—28no—
707C2×C4×C37—24no—
708C2×C4×C37—41no—
709C2×C4×C37—41no—
710C2×C4×C37—48no—
711C2×C4×C37—44no—
712C2×C4×C37—48no—
713C2×C4×C37—42no—
714C2×C4×C37—42no—
715C2×C4×C37—42no—
716C2×C4×C37—42no—
717C2×C4×C37—44no—
718C2×C4×C37—41no—
719C2×C4×C37—42no—
720C2×C4×C37—44no—
721C2×C4×C37—44no—
722C2×C4×C37—44no—
723C2×C4×C37—48no—
724C2×C4×C37—48no—
725C2×C4×C37—42no—
726C2×C4×C37—48no—
727C2×C4×C37C2514yes—
728C2×C4×C37C2512yes—
729C2×C4×C37C2514yes—
730C2×C4×C37C2512yes—
731C2×C4×C37C2511yescharacteristic
732C2×C4×C37C2514yes—
733C2×C4×C37C2514yes—
734C2×C4×C37C2518yes—
735C2×C4×C37C2514yes—
736C2×C4×C37C2512yes—
737C2×C4×C37C2512yes—
738C2×C4×C37C2511yescharacteristic
739#62892C3711yesmaximal, characteristic, direct product factor, Sylow
740C22×C37—21no—
741C22×C37—22no—
742C22×C37—22no—
743C22×C37—21no—
744C22×C37—22no—
745C22×C37—22no—
746C22×C37—22no—
747C22×C37—24no—
748C22×C37—22no—
749C22×C37—22no—
750C22×C37—24no—
751C22×C37—28no—
752C22×C37—28no—
753C22×C37—24no—
754C22×C37—24no—
755C22×C37—22no—
756C22×C37—22no—
757C22×C37—28no—
758C22×C37—22no—
759C22×C37—24no—
760C22×C37—24no—
761C22×C37—44no—
762C22×C37—48no—
763C22×C37—416no—
764C22×C37—48no—
765C22×C37—82no—
766C22×C37—88no—
767C22×C37—88no—
768C22×C37—816no—
769C22×C37—84no—
770C22×C37—816no—
771C22×C37—164no—
772C22×C37C2×H(5,𝔽2)14yes—
773C22×C37C2×H(5,𝔽2)14yes—
774C22×C37C2×H(5,𝔽2)12yes—
775C22×C37C2611yescharacteristic
776C4×C37—22no—
777C4×C37—24no—
778C4×C37—22no—
779C4×C37—28no—
780C4×C37—24no—
781C4×C37—22no—
782C4×C37—21no—
783C4×C37—24no—
784C4×C37—24no—
785C4×C37—22no—
786C4×C37—24no—
787C4×C37C2×H(5,𝔽2)12yes—
788#3558C2×C3712yescomplemented
789#3543C2×C3714yescomplemented
790#3542C2×C3714yescomplemented
791#3537C2×C3714yescomplemented
792#3537C2×C3712yescomplemented
793#3534C2×C3718yescomplemented
794#3534C2×C3714yescomplemented
795#3532C2×C3718yescomplemented
796#3519C2×C3712yescomplemented
797#3513C2×C3714yescomplemented
798#3505C2×C3712yescomplemented
799#3496C2×C3711yescharacteristic, complemented
800#3490C2×C3712yescomplemented
801#3488C2×C3712yescomplemented
802#3484C2×C3714yescomplemented
803#3484C2×C3714yescomplemented
804C2×#546C2×C3711yescharacteristic, complemented
805C2×D42C2×C3712yescomplemented
806#3459C2×C3711yescharacteristic, complemented
807C2×#534C2×C3712yescomplemented
808C2×C37—24no—
809C2×C37—24no—
810C2×C37—22no—
811C2×C37—42no—
812C2×C37—44no—
813C2×C37—44no—
814C2×C37—48no—
815C2×C37—42no—
816C2×C37C22×H(5,𝔽2)11yescharacteristic
817C2×C37C22×H(5,𝔽2)11yescharacteristic
818C2×C37H(7,𝔽2)11yescharacteristic
819C2×H(5,𝔽2)C22×C3712yescomplemented
820C2×H(5,𝔽2)C22×C3712yescomplemented
821C22×#41C22×C3711yescharacteristic, complemented
822C23×D4C22×C3711yescharacteristic, complemented
823C23×D4C22×C3714yescomplemented
824C23×D4C22×C3712yescomplemented
825#562C22×C3718yescomplemented
826#562C22×C3714yescomplemented
827H(3,𝔽4)C22×C3714yescomplemented
828#560C22×C3718yescomplemented
829#560C22×C3718yescomplemented
830#560C22×C3718yescomplemented
831#560C22×C3718yescomplemented
832#559C22×C3714yescomplemented
833#555C22×C3712yescomplemented
834#554C22×C3712yescomplemented
835#553C22×C3718yescomplemented
836#553C22×C3714yescomplemented
837#553C22×C3714yescomplemented
838#553C22×C3718yescomplemented
839#553C22×C3714yescomplemented
840#552C22×C3714yescomplemented
841#551C22×C3718yescomplemented
842#551C22×C3718yescomplemented
843#551C22×C3718yescomplemented
844#551C22×C3718yescomplemented
845#550C22×C3714yescomplemented
846#550C22×C3712yescomplemented
847#548C22×C3714yescomplemented
848#547C22×C3714yescomplemented
849#546C22×C3714yescomplemented
850#546C22×C3714yescomplemented
851#546C22×C3714yescomplemented
852#546C22×C3718yescomplemented
853#546C22×C3718yescomplemented
854#546C22×C3718yescomplemented
855#546C22×C3718yescomplemented
856#546C22×C3718yescomplemented
857#546C22×C3714yescomplemented
858#546C22×C3718yescomplemented
859#546C22×C3718yescomplemented
860#546C22×C3714yescomplemented
861#546C22×C3718yescomplemented
862#546C22×C3718yescomplemented
863#546C22×C3718yescomplemented
864#546C22×C3714yescomplemented
865D42C22×C3714yescomplemented
866D42C22×C3718yescomplemented
867D42C22×C3714yescomplemented
868D42C22×C3714yescomplemented
869D42C22×C3712yescomplemented
870D42C22×C3718yescomplemented
871D42C22×C3718yescomplemented
872D42C22×C3718yescomplemented
873D42C22×C3718yescomplemented
874D42C22×C3714yescomplemented
875D42C22×C3714yescomplemented
876D42C22×C3714yescomplemented
877D42C22×C3718yescomplemented
878D42C22×C3718yescomplemented
879#543C22×C3711yescharacteristic, complemented
880#542C22×C3714yescomplemented
881#540C22×C3714yescomplemented
882#540C22×C3714yescomplemented
883#540C22×C3718yescomplemented
884#540C22×C3718yescomplemented
885#539C22×C3714yescomplemented
886#539C22×C3712yescomplemented
887#539C22×C3714yescomplemented
888#539C22×C3718yescomplemented
889#538C22×C3714yescomplemented
890#538C22×C3718yescomplemented
891#538C22×C3712yescomplemented
892#538C22×C3714yescomplemented
893#538C22×C3714yescomplemented
894#538C22×C3714yescomplemented
895#538C22×C3718yescomplemented
896#538C22×C3718yescomplemented
897#538C22×C3718yescomplemented
898#538C22×C3714yescomplemented
899#537C22×C3714yescomplemented
900#537C22×C3712yescomplemented
901#537C22×C3712yescomplemented
902#535C22×C3718yescomplemented
903#535C22×C3714yescomplemented
904#535C22×C3714yescomplemented
905#535C22×C3714yescomplemented
906#535C22×C3712yescomplemented
907#535C22×C3718yescomplemented
908#534C22×C3711yescharacteristic, complemented
909#534C22×C3714yescomplemented
910#534C22×C3712yescomplemented
911#534C22×C3712yescomplemented
912#534C22×C3718yescomplemented
913#534C22×C3718yescomplemented
914#534C22×C3718yescomplemented
915#534C22×C3718yescomplemented
916#534C22×C3714yescomplemented
917#534C22×C3714yescomplemented
918#534C22×C3718yescomplemented
919#534C22×C3712yescomplemented
920#534C22×C3714yescomplemented
921#532C22×C3712yescomplemented
922C2×#127C22×C3712yescomplemented
923#529C22×C3714yescomplemented
924#529C22×C3712yescomplemented
925#529C22×C3714yescomplemented
926C2×#124C22×C3711yescharacteristic, complemented
927#525C22×C3714yescomplemented
928#525C22×C3718yescomplemented
929#525C22×C3712yescomplemented
930#525C22×C3714yescomplemented
931#525C22×C3714yescomplemented
932#525C22×C3714yescomplemented
933C2×#123C22×C3718yescomplemented
934C2×#123C22×C3712yescomplemented
935C2×C22⋊Q8C22×C3711yescharacteristic, complemented
936C2×#121C22×C3712yescomplemented
937C2×#121C22×C3714yescomplemented
938C2×#121C22×C3712yescomplemented
939C2×#121C22×C3714yescomplemented
940C2×#121C22×C3714yescomplemented
941C2×#121C22×C3711yescharacteristic, complemented
942C2×#121C22×C3712yescomplemented
943C2×#121C22×C3712yescomplemented
944C2×#120C22×C3714yescomplemented
945C2×#120C22×C3712yescomplemented
946C2×#120C22×C3718yescomplemented
947C2×#120C22×C3714yescomplemented
948C2×#120C22×C3718yescomplemented
949#520C22×C3712yescomplemented
950#518C22×C3714yescomplemented
951#518C22×C3714yescomplemented
952C2×C4×D4C22×C3712yescomplemented
953C2×C4×D4C22×C3711yescharacteristic, complemented
954C2×C4×D4C22×C3712yescomplemented
955C2×C4×D4C22×C3711yescharacteristic, complemented
956C22×C22⋊C4C22×C3712yescomplemented
957C37#6289211yescharacteristic, direct product factor, Sylow
958C25C23×C3712yes—
959C25C23×C3714yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C3712yes—
964C2×#41C23×C3712yescomplemented
965C2×#41C23×C3718yescomplemented
966C2×#41C23×C3714yescomplemented
967C2×#41C23×C3714yescomplemented
968C2×#41C23×C3714yescomplemented
969C2×#41C23×C3714yescomplemented
970C2×#41C23×C3712yescomplemented
971C2×#41C23×C3714yescomplemented
972C22×Q8C23×C3711yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C3711yescharacteristic
977C22×D4C23×C3712yes—
978C22×D4C23×C3711yescharacteristic
979C22×D4C23×C3712yes—
980C22×D4C23×C3714yes—
981C22×D4C23×C3714yes—
982C22×D4C23×C3714yes—
983C22×D4C23×C3718yes—
984C22×D4C23×C3712yes—
985C22×D4C23×C3711yescharacteristic
986C22×D4C23×C3712yes—
987C22×D4C23×C3718yes—
988C22×D4C23×C3714yescomplemented
989C22×D4C23×C3714yescomplemented
990C22×D4C23×C3712yescomplemented
991C22×D4C23×C3714yescomplemented
992C22×D4C23×C3718yescomplemented
993C22×D4C23×C3718yescomplemented
994C22×D4C23×C3718yescomplemented
995C22×D4C23×C3714yescomplemented
996C22×D4C23×C3712yescomplemented
997C22×D4C23×C3714yescomplemented
998C22×D4C23×C3712yescomplemented
999C22×D4C23×C3718yescomplemented
1000C22×D4C23×C3718yescomplemented
1001C22×D4C23×C3714yescomplemented
1002C22×D4C23×C3714yescomplemented
1003C22×D4C23×C3714yescomplemented
1004C22×D4C23×C3712yescomplemented
1005C22×D4C23×C3718yescomplemented
1006C23×C4C23×C3711yescharacteristic
1007C23×C4C23×C3712yescomplemented
1008C23×C4C23×C3711yescharacteristic, complemented
1009C23×C4C23×C3714yescomplemented
1010C23×C4C23×C3712yescomplemented
1011C23×C4C23×C3712yescomplemented
1012C4⋊Q8C23×C3712yescomplemented
1013#127C23×C3714yes—
1014#127C23×C3714yescomplemented
1015#127C23×C3718yescomplemented
1016#127C23×C3712yescomplemented
1017#127C23×C3718yescomplemented
1018#127C23×C3718yescomplemented
1019#126C23×C3714yescomplemented
1020#126C23×C3714yescomplemented
1021#126C23×C3718yescomplemented
1022#126C23×C3714yescomplemented
1023#126C23×C3718yescomplemented
1024#126C23×C3718yescomplemented
1025#126C23×C3718yescomplemented
1026#126C23×C3718yescomplemented
1027#125C23×C3714yescomplemented
1028#125C23×C3712yescomplemented
1029#125C23×C3714yescomplemented
1030#125C23×C3718yescomplemented
1031#124C23×C3714yescomplemented
1032#124C23×C3714yescomplemented
1033#124C23×C3714yescomplemented
1034#124C23×C3714yescomplemented
1035#124C23×C3712yescomplemented
1036#124C23×C3714yescomplemented
1037#124C23×C3718yescomplemented
1038#124C23×C3718yescomplemented
1039#124C23×C3718yescomplemented
1040#124C23×C3718yescomplemented
1041#124C23×C3718yescomplemented
1042#123C23×C3714yes—
1043#123C23×C3718yes—
1044#123C23×C3718yescomplemented
1045#123C23×C3718yescomplemented
1046#123C23×C3718yescomplemented
1047#123C23×C3718yescomplemented
1048#123C23×C3718yescomplemented
1049#123C23×C3718yescomplemented
1050#123C23×C3718yescomplemented
1051#123C23×C3718yescomplemented
1052#123C23×C3714yescomplemented
1053#123C23×C3714yescomplemented
1054#123C23×C3714yescomplemented
1055#123C23×C3718yescomplemented
1056#123C23×C3718yescomplemented
1057#123C23×C3714yescomplemented
1058#123C23×C3718yescomplemented
1059#123C23×C3714yescomplemented
1060#123C23×C3718yescomplemented
1061#123C23×C3718yescomplemented
1062#123C23×C3718yescomplemented
1063#123C23×C3718yescomplemented
1064#123C23×C3718yescomplemented
1065#123C23×C3718yescomplemented
1066#123C23×C3718yescomplemented
1067C22⋊Q8C23×C3714yescomplemented
1068C22⋊Q8C23×C3714yescomplemented
1069C22⋊Q8C23×C3712yescomplemented
1070C22⋊Q8C23×C3712yescomplemented
1071C22⋊Q8C23×C3712yescomplemented
1072C22⋊Q8C23×C3714yescomplemented
1073C22⋊Q8C23×C3714yescomplemented
1074C22⋊Q8C23×C3714yescomplemented
1075C22⋊Q8C23×C3718yescomplemented
1076C22⋊Q8C23×C3714yescomplemented
1077C22⋊Q8C23×C3718yescomplemented
1078C22⋊Q8C23×C3714yescomplemented
1079C22⋊Q8C23×C3714yescomplemented
1080C22⋊Q8C23×C3718yescomplemented
1081C22⋊Q8C23×C3718yescomplemented
1082#121C23×C3712yes—
1083#121C23×C3712yes—
1084#121C23×C3714yes—
1085#121C23×C3718yes—
1086#121C23×C3714yes—
1087#121C23×C3714yes—
1088#121C23×C3714yes—
1089#121C23×C3714yes—
1090#121C23×C3714yescomplemented
1091#121C23×C3714yescomplemented
1092#121C23×C3714yescomplemented
1093#121C23×C3714yescomplemented
1094#121C23×C3714yescomplemented
1095#121C23×C3718yescomplemented
1096#121C23×C3718yescomplemented
1097#121C23×C3718yescomplemented
1098#121C23×C3718yescomplemented
1099#121C23×C3714yescomplemented
1100#121C23×C3714yescomplemented
1101#121C23×C3714yescomplemented
1102#121C23×C3718yescomplemented
1103#121C23×C3714yescomplemented
1104#121C23×C3714yescomplemented
1105#121C23×C3714yescomplemented
1106#121C23×C3714yescomplemented
1107#121C23×C3718yescomplemented
1108#121C23×C3718yescomplemented
1109#121C23×C3714yescomplemented
1110#121C23×C3718yescomplemented
1111#121C23×C3718yescomplemented
1112#121C23×C3718yescomplemented
1113#121C23×C3712yescomplemented
1114#121C23×C3714yescomplemented
1115#121C23×C3718yescomplemented
1116#121C23×C3714yescomplemented
1117#121C23×C3714yescomplemented
1118#121C23×C3714yescomplemented
1119#121C23×C3718yescomplemented
1120#121C23×C3718yescomplemented
1121#121C23×C3718yescomplemented
1122#121C23×C3718yescomplemented
1123#121C23×C3718yescomplemented
1124#121C23×C3718yescomplemented
1125#121C23×C3718yescomplemented
1126#121C23×C3718yescomplemented
1127#121C23×C3718yescomplemented
1128#121C23×C3718yescomplemented
1129#121C23×C3718yescomplemented
1130#121C23×C3718yescomplemented
1131#121C23×C3718yescomplemented
1132#120C23×C3714yes—
1133#120C23×C3718yes—
1134#120C23×C3718yes—
1135#120C23×C3718yes—
1136#120C23×C3718yes—
1137#120C23×C3718yescomplemented
1138#120C23×C3714yescomplemented
1139#120C23×C3718yescomplemented
1140#120C23×C3718yescomplemented
1141#120C23×C3718yescomplemented
1142#120C23×C3718yescomplemented
1143#120C23×C3718yescomplemented
1144#120C23×C3718yescomplemented
1145#120C23×C3718yescomplemented
1146#120C23×C3718yescomplemented
1147#120C23×C3718yescomplemented
1148#120C23×C3718yescomplemented
1149#120C23×C3718yescomplemented
1150#120C23×C3718yescomplemented
1151#120C23×C3718yescomplemented
1152#120C23×C3718yescomplemented
1153#120C23×C3718yescomplemented
1154#120C23×C3718yescomplemented
1155#120C23×C3714yescomplemented
1156#120C23×C3718yescomplemented
1157#120C23×C3718yescomplemented
1158#120C23×C3718yescomplemented
1159C4×Q8C23×C3714yescomplemented
1160C4×Q8C23×C3712yescomplemented
1161C4×D4C23×C3712yes—
1162C4×D4C23×C3714yes—
1163C4×D4C23×C3714yes—
1164C4×D4C23×C3714yes—
1165C4×D4C23×C3714yescomplemented
1166C4×D4C23×C3714yescomplemented
1167C4×D4C23×C3714yescomplemented
1168C4×D4C23×C3718yescomplemented
1169C4×D4C23×C3714yescomplemented
1170C4×D4C23×C3714yescomplemented
1171C4×D4C23×C3712yescomplemented
1172C4×D4C23×C3714yescomplemented
1173C4×D4C23×C3718yescomplemented
1174C4×D4C23×C3718yescomplemented
1175C4×D4C23×C3718yescomplemented
1176C4×D4C23×C3718yescomplemented
1177C4×D4C23×C3718yescomplemented
1178C4×D4C23×C3718yescomplemented
1179C4×D4C23×C3714yescomplemented
1180C4×D4C23×C3714yescomplemented
1181C4×D4C23×C3718yescomplemented
1182C4×D4C23×C3712yescomplemented
1183C4×D4C23×C3714yescomplemented
1184C4×D4C23×C3718yescomplemented
1185C4×D4C23×C3718yescomplemented
1186C4×D4C23×C3718yescomplemented
1187C4×D4C23×C3718yescomplemented
1188C4×D4C23×C3714yescomplemented
1189#117C23×C3714yescomplemented
1190#117C23×C3718yescomplemented
1191#117C23×C3714yescomplemented
1192#117C23×C3712yescomplemented
1193#117C23×C3714yescomplemented
1194#117C23×C3714yescomplemented
1195#117C23×C3718yescomplemented
1196C2×C4⋊C4C23×C3712yescomplemented
1197C2×C4⋊C4C23×C3712yescomplemented
1198C2×C4⋊C4C23×C3711yescharacteristic, complemented
1199C2×C4⋊C4C23×C3711yescharacteristic, complemented
1200C2×C4⋊C4C23×C3714yescomplemented
1201C2×C4⋊C4C23×C3712yescomplemented
1202C2×C4⋊C4C23×C3712yescomplemented
1203C2×C4⋊C4C23×C3714yescomplemented
1204C2×C22⋊C4C23×C3711yescharacteristic
1205C2×C22⋊C4C23×C3712yes—
1206C2×C22⋊C4C23×C3712yes—
1207C2×C22⋊C4C23×C3718yescomplemented
1208C2×C22⋊C4C23×C3712yescomplemented
1209C2×C22⋊C4C23×C3712yescomplemented
1210C2×C22⋊C4C23×C3718yescomplemented
1211C2×C22⋊C4C23×C3712yescomplemented
1212C2×C22⋊C4C23×C3714yescomplemented
1213C2×C22⋊C4C23×C3712yescomplemented
1214C2×C22⋊C4C23×C3711yescharacteristic, complemented
1215C2×C22⋊C4C23×C3718yescomplemented
1216C2×C22⋊C4C23×C3718yescomplemented
1217C2×C22⋊C4C23×C3718yescomplemented
1218C2×C22⋊C4C23×C3714yescomplemented
1219C2×C22⋊C4C23×C3714yescomplemented
1220C2×C22⋊C4C23×C3718yescomplemented
1221C2×C22⋊C4C23×C3712yescomplemented
1222C2×C22⋊C4C23×C3718yescomplemented
1223C2×C22⋊C4C23×C3714yescomplemented
1224C2×C42C23×C3711yescharacteristic, complemented
1225C2×C42C23×C3712yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C3714yes—
1233C24C24×C3712yes—
1234C24C24×C3714yes—
1235C24C24×C3714yes—
1236C24C24×C3718yes—
1237C24C24×C3712yes—
1238C24C24×C3712yes—
1239C24C24×C3711yescharacteristic
1240C24C24×C3718yes—
1241C24C24×C3714yes—
1242C24C24×C3711yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C3712yes—
1254C2×Q8C24×C3712yes—
1255C2×Q8C24×C3712yes—
1256C2×Q8C24×C3712yes—
1257C2×Q8C24×C3714yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C3714yes—
1289C2×D4C24×C3718yes—
1290C2×D4C24×C3714yes—
1291C2×D4C24×C3718yes—
1292C2×D4C24×C3714yes—
1293C2×D4C24×C3712yes—
1294C2×D4C24×C3714yes—
1295C2×D4C24×C3718yes—
1296C2×D4C24×C3714yes—
1297C2×D4C24×C3712yes—
1298C2×D4C24×C3714yes—
1299C2×D4C24×C3711yescharacteristic
1300C2×D4C24×C3712yes—
1301C2×D4C24×C3718yes—
1302C2×D4C24×C3718yes—
1303C2×D4C24×C3718yes—
1304C2×D4C24×C3714yes—
1305C2×D4C24×C3714yes—
1306C2×D4C24×C3718yes—
1307C2×D4C24×C3712yes—
1308C2×D4C24×C3718yes—
1309C2×D4C24×C3718yes—
1310C2×D4C24×C3718yes—
1311C2×D4C24×C3714yes—
1312C2×D4C24×C3714yes—
1313C2×D4C24×C3712yes—
1314C2×D4C24×C3714yes—
1315C2×D4C24×C3714yes—
1316C2×D4C24×C3718yes—
1317C2×D4C24×C3718yes—
1318C2×D4C24×C3714yes—
1319C2×D4C24×C3718yes—
1320C2×D4C24×C3714yes—
1321C2×D4C24×C3718yes—
1322C2×D4C24×C3711yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C3711yescharacteristic
1330C22×C4C24×C3712yes—
1331C22×C4C24×C3711yescharacteristic
1332C22×C4C24×C3712yes—
1333C22×C4C24×C3714yes—
1334C22×C4C24×C3714yes—
1335C22×C4C24×C3712yes—
1336C22×C4C24×C3714yes—
1337C22×C4C24×C3712yes—
1338C22×C4C24×C3711yescharacteristic
1339C22×C4C24×C3712yes—
1340C22×C4C24×C3712yes—
1341C22×C4C24×C3712yes—
1342C22×C4C24×C3711yescharacteristic
1343C22×C4C24×C3714yes—
1344C22×C4C24×C3712yes—
1345C22×C4C24×C3718yes—
1346C22×C4C24×C3718yes—
1347C22×C4C24×C3714yes—
1348C22×C4C24×C3718yes—
1349C22×C4C24×C3718yes—
1350C22×C4C24×C3714yes—
1351C22×C4C24×C3712yes—
1352C22×C4C24×C3711yescharacteristic
1353C22×C4C24×C3714yes—
1354C22×C4C24×C3714yes—
1355C22×C4C24×C3718yes—
1356C4⋊C4C24×C3714yes—
1357C4⋊C4C24×C3712yes—
1358C4⋊C4C24×C3714yes—
1359C4⋊C4C24×C3712yes—
1360C4⋊C4C24×C3712yes—
1361C4⋊C4C24×C3718yes—
1362C4⋊C4C24×C3718yes—
1363C4⋊C4C24×C3714yes—
1364C4⋊C4C24×C3714yes—
1365C4⋊C4C24×C3714yes—
1366C4⋊C4C24×C3714yes—
1367C4⋊C4C24×C3714yes—
1368C4⋊C4C24×C3712yes—
1369C4⋊C4C24×C3718yes—
1370C4⋊C4C24×C3712yes—
1371C4⋊C4C24×C3712yes—
1372C4⋊C4C24×C3714yes—
1373C4⋊C4C24×C3718yes—
1374C4⋊C4C24×C3714yes—
1375C4⋊C4C24×C3718yes—
1376C4⋊C4C24×C3714yes—
1377C4⋊C4C24×C3714yes—
1378C22⋊C4C24×C3714yes—
1379C22⋊C4C24×C3718yes—
1380C22⋊C4C24×C3714yes—
1381C22⋊C4C24×C3714yes—
1382C22⋊C4C24×C3714yes—
1383C22⋊C4C24×C3718yes—
1384C22⋊C4C24×C3718yes—
1385C22⋊C4C24×C3718yes—
1386C22⋊C4C24×C3714yes—
1387C22⋊C4C24×C3714yes—
1388C22⋊C4C24×C3718yes—
1389C22⋊C4C24×C3718yes—
1390C22⋊C4C24×C3714yes—
1391C22⋊C4C24×C3714yes—
1392C22⋊C4C24×C3718yes—
1393C22⋊C4C24×C3718yes—
1394C22⋊C4C24×C3718yes—
1395C22⋊C4C24×C3718yes—
1396C22⋊C4C24×C3718yes—
1397C22⋊C4C24×C3718yes—
1398C22⋊C4C24×C3718yes—
1399C22⋊C4C24×C3714yes—
1400C22⋊C4C24×C3714yes—
1401C22⋊C4C24×C3718yes—
1402C22⋊C4C24×C3718yes—
1403C22⋊C4C24×C3718yes—
1404C22⋊C4C24×C3718yes—
1405C22⋊C4C24×C3718yes—
1406C22⋊C4C24×C3714yes—
1407C22⋊C4C24×C3714yes—
1408C22⋊C4C24×C3714yes—
1409C22⋊C4C24×C3714yes—
1410C42C24×C3714yes—
1411C42C24×C3712yes—
1412C42C24×C3714yes—
1413C42C24×C3712yes—
1414C42C24×C3718yes—
1415C42C24×C3718yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23H(5,𝔽2)×C3714yescomplemented
1451C23C25×C3714yes—
1452C23C25×C3714yes—
1453C23C25×C3718yes—
1454C23C25×C3712yes—
1455C23C25×C3712yes—
1456C23C25×C3712yes—
1457C23C25×C3712yes—
1458C23C25×C3711yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4H(5,𝔽2)×C3714yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C3714yes—
1527C2×C4C25×C3712yes—
1528C2×C4C25×C3714yes—
1529C2×C4C25×C3712yes—
1530C2×C4C25×C3711yescharacteristic
1531C2×C4C25×C3714yes—
1532C2×C4C25×C3714yes—
1533C2×C4C25×C3718yes—
1534C2×C4C25×C3714yes—
1535C2×C4C25×C3712yes—
1536C2×C4C25×C3712yes—
1537C2×C4C25×C3711yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—416no—
1561C22—48no—
1562C22—48no—
1563C22—88no—
1564C22—88no—
1565C22—816no—
1566C22—84no—
1567C22—82no—
1568C22—816no—
1569C22—164no—
1570C22C2×H(5,𝔽2)×C3714yes—
1571C22C2×H(5,𝔽2)×C3714yes—
1572C22C2×H(5,𝔽2)×C3712yes—
1573C22C26×C3711yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×H(5,𝔽2)×C3712yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C3711yescharacteristic
1595C2C22×H(5,𝔽2)×C3711yescharacteristic
1596C2C37×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×#3558C2semidirect
2. C37×#3543C2semidirect
3. C37×#3542C2semidirect
4. C37×#3537C2semidirect
5. C37×#3537C2semidirect
6. C37×#3534C2semidirect
7. C37×#3534C2semidirect
8. C37×#3532C2semidirect
9. C37×#3519C2semidirect
10. C37×#3513C2semidirect
11. C37×#3505C2semidirect
12. C37×#3496C2semidirect
13. C37×#3490C2semidirect
14. C37×#3488C2semidirect
15. C37×#3484C2semidirect
16. C37×#3484C2semidirect
17. C2×C37×#546C2semidirect
18. C2×D42×C37C2semidirect
19. C37×#3459C2semidirect
20. C2×C37×#534C2semidirect
21. C2×H(5,𝔽2)×C37C22semidirect
22. C2×H(5,𝔽2)×C37C22semidirect
23. C22×#41×C37C22semidirect
24. C23×D4×C37C22semidirect
25. C23×D4×C37C22semidirect
26. C23×D4×C37C22semidirect
27. C37×#562C22semidirect
28. C37×#562C22semidirect
29. C37×H(3,𝔽4)C22semidirect
30. C37×#560C22semidirect
31. C37×#560C22semidirect
32. C37×#560C22semidirect
33. C37×#560C22semidirect
34. C37×#559C22semidirect
35. C37×#555C22semidirect
36. C37×#554C22semidirect
37. C37×#553C22semidirect
38. C37×#553C22semidirect
39. C37×#553C22semidirect
40. C37×#553C22semidirect
41. C37×#553C22semidirect
42. C37×#552C22semidirect
43. C37×#551C22semidirect
44. C37×#551C22semidirect
45. C37×#551C22semidirect
46. C37×#551C22semidirect
47. C37×#550C22semidirect
48. C37×#550C22semidirect
49. C37×#548C22semidirect
50. C37×#547C22semidirect
51. C37×#546C22semidirect
52. C37×#546C22semidirect
53. C37×#546C22semidirect
54. C37×#546C22semidirect
55. C37×#546C22semidirect
56. C37×#546C22semidirect
57. C37×#546C22semidirect
58. C37×#546C22semidirect
59. C37×#546C22semidirect
60. C37×#546C22semidirect
61. C37×#546C22semidirect
62. C37×#546C22semidirect
63. C37×#546C22semidirect
64. C37×#546C22semidirect
65. C37×#546C22semidirect
66. C37×#546C22semidirect
67. D42×C37C22semidirect
68. D42×C37C22semidirect
69. D42×C37C22semidirect
70. D42×C37C22semidirect
71. D42×C37C22semidirect
72. D42×C37C22semidirect
73. D42×C37C22semidirect
74. D42×C37C22semidirect
75. D42×C37C22semidirect
76. D42×C37C22semidirect
77. D42×C37C22semidirect
78. D42×C37C22semidirect
79. D42×C37C22semidirect
80. D42×C37C22semidirect
81. C37×#543C22semidirect
82. C37×#542C22semidirect
83. C37×#540C22semidirect
84. C37×#540C22semidirect
85. C37×#540C22semidirect
86. C37×#540C22semidirect
87. C37×#539C22semidirect
88. C37×#539C22semidirect
89. C37×#539C22semidirect
90. C37×#539C22semidirect
91. C37×#538C22semidirect
92. C37×#538C22semidirect
93. C37×#538C22semidirect
94. C37×#538C22semidirect
95. C37×#538C22semidirect
96. C37×#538C22semidirect
97. C37×#538C22semidirect
98. C37×#538C22semidirect
99. C37×#538C22semidirect
100. C37×#538C22semidirect
101. C37×#537C22semidirect
102. C37×#537C22semidirect
103. C37×#537C22semidirect
104. C37×#535C22semidirect
105. C37×#535C22semidirect
106. C37×#535C22semidirect
107. C37×#535C22semidirect
108. C37×#535C22semidirect
109. C37×#535C22semidirect
110. C37×#534C22semidirect
111. C37×#534C22semidirect
112. C37×#534C22semidirect
113. C37×#534C22semidirect
114. C37×#534C22semidirect
115. C37×#534C22semidirect
116. C37×#534C22semidirect
117. C37×#534C22semidirect
118. C37×#534C22semidirect
119. C37×#534C22semidirect
120. C37×#534C22semidirect
121. C37×#534C22semidirect
122. C37×#534C22semidirect
123. C37×#532C22semidirect
124. C2×#127×C37C22semidirect
125. C37×#529C22semidirect
126. C37×#529C22semidirect
127. C37×#529C22semidirect
128. C2×#124×C37C22semidirect
129. C37×#525C22semidirect
130. C37×#525C22semidirect
131. C37×#525C22semidirect
132. C37×#525C22semidirect
133. C37×#525C22semidirect
134. C37×#525C22semidirect
135. C2×#123×C37C22semidirect
136. C2×#123×C37C22semidirect
137. C2×C22⋊Q8×C37C22semidirect
138. C2×#121×C37C22semidirect
139. C2×#121×C37C22semidirect
140. C2×#121×C37C22semidirect
141. C2×#121×C37C22semidirect
142. C2×#121×C37C22semidirect
143. C2×#121×C37C22semidirect
144. C2×#121×C37C22semidirect
145. C2×#121×C37C22semidirect
146. C2×#120×C37C22semidirect
147. C2×#120×C37C22semidirect
148. C2×#120×C37C22semidirect
149. C2×#120×C37C22semidirect
150. C2×#120×C37C22semidirect
151. C37×#520C22semidirect
152. C37×#518C22semidirect
153. C37×#518C22semidirect
154. C2×C4×D4×C37C22semidirect
155. C2×C4×D4×C37C22semidirect
156. C2×C4×D4×C37C22semidirect
157. C2×C4×D4×C37C22semidirect
158. C22×C22⋊C4×C37C22semidirect
160. C25×C37C23semidirect
165. C2×#41×C37C23semidirect
166. C2×#41×C37C23semidirect
167. C2×#41×C37C23semidirect
168. C2×#41×C37C23semidirect
169. C2×#41×C37C23semidirect
170. C2×#41×C37C23semidirect
171. C2×#41×C37C23semidirect
172. C2×#41×C37C23semidirect
173. C22×Q8×C37C23semidirect
189. C22×D4×C37C23semidirect
190. C22×D4×C37C23semidirect
191. C22×D4×C37C23semidirect
192. C22×D4×C37C23semidirect
193. C22×D4×C37C23semidirect
194. C22×D4×C37C23semidirect
195. C22×D4×C37C23semidirect
196. C22×D4×C37C23semidirect
197. C22×D4×C37C23semidirect
198. C22×D4×C37C23semidirect
199. C22×D4×C37C23semidirect
200. C22×D4×C37C23semidirect
201. C22×D4×C37C23semidirect
202. C22×D4×C37C23semidirect
203. C22×D4×C37C23semidirect
204. C22×D4×C37C23semidirect
205. C22×D4×C37C23semidirect
206. C22×D4×C37C23semidirect
208. C23×C4×C37C23semidirect
209. C23×C4×C37C23semidirect
210. C23×C4×C37C23semidirect
211. C23×C4×C37C23semidirect
212. C23×C4×C37C23semidirect
213. C4⋊Q8×C37C23semidirect
215. #127×C37C23semidirect
216. #127×C37C23semidirect
217. #127×C37C23semidirect
218. #127×C37C23semidirect
219. #127×C37C23semidirect
220. #126×C37C23semidirect
221. #126×C37C23semidirect
222. #126×C37C23semidirect
223. #126×C37C23semidirect
224. #126×C37C23semidirect
225. #126×C37C23semidirect
226. #126×C37C23semidirect
227. #126×C37C23semidirect
228. #125×C37C23semidirect
229. #125×C37C23semidirect
230. #125×C37C23semidirect
231. #125×C37C23semidirect
232. #124×C37C23semidirect
233. #124×C37C23semidirect
234. #124×C37C23semidirect
235. #124×C37C23semidirect
236. #124×C37C23semidirect
237. #124×C37C23semidirect
238. #124×C37C23semidirect
239. #124×C37C23semidirect
240. #124×C37C23semidirect
241. #124×C37C23semidirect
242. #124×C37C23semidirect
245. #123×C37C23semidirect
246. #123×C37C23semidirect
247. #123×C37C23semidirect
248. #123×C37C23semidirect
249. #123×C37C23semidirect
250. #123×C37C23semidirect
251. #123×C37C23semidirect
252. #123×C37C23semidirect
253. #123×C37C23semidirect
254. #123×C37C23semidirect
255. #123×C37C23semidirect
256. #123×C37C23semidirect
257. #123×C37C23semidirect
258. #123×C37C23semidirect
259. #123×C37C23semidirect
260. #123×C37C23semidirect
261. #123×C37C23semidirect
262. #123×C37C23semidirect
263. #123×C37C23semidirect
264. #123×C37C23semidirect
265. #123×C37C23semidirect
266. #123×C37C23semidirect
267. #123×C37C23semidirect
268. C22⋊Q8×C37C23semidirect
269. C22⋊Q8×C37C23semidirect
270. C22⋊Q8×C37C23semidirect
271. C22⋊Q8×C37C23semidirect
272. C22⋊Q8×C37C23semidirect
273. C22⋊Q8×C37C23semidirect
274. C22⋊Q8×C37C23semidirect
275. C22⋊Q8×C37C23semidirect
276. C22⋊Q8×C37C23semidirect
277. C22⋊Q8×C37C23semidirect
278. C22⋊Q8×C37C23semidirect
279. C22⋊Q8×C37C23semidirect
280. C22⋊Q8×C37C23semidirect
281. C22⋊Q8×C37C23semidirect
282. C22⋊Q8×C37C23semidirect
291. #121×C37C23semidirect
292. #121×C37C23semidirect
293. #121×C37C23semidirect
294. #121×C37C23semidirect
295. #121×C37C23semidirect
296. #121×C37C23semidirect
297. #121×C37C23semidirect
298. #121×C37C23semidirect
299. #121×C37C23semidirect
300. #121×C37C23semidirect
301. #121×C37C23semidirect
302. #121×C37C23semidirect
303. #121×C37C23semidirect
304. #121×C37C23semidirect
305. #121×C37C23semidirect
306. #121×C37C23semidirect
307. #121×C37C23semidirect
308. #121×C37C23semidirect
309. #121×C37C23semidirect
310. #121×C37C23semidirect
311. #121×C37C23semidirect
312. #121×C37C23semidirect
313. #121×C37C23semidirect
314. #121×C37C23semidirect
315. #121×C37C23semidirect
316. #121×C37C23semidirect
317. #121×C37C23semidirect
318. #121×C37C23semidirect
319. #121×C37C23semidirect
320. #121×C37C23semidirect
321. #121×C37C23semidirect
322. #121×C37C23semidirect
323. #121×C37C23semidirect
324. #121×C37C23semidirect
325. #121×C37C23semidirect
326. #121×C37C23semidirect
327. #121×C37C23semidirect
328. #121×C37C23semidirect
329. #121×C37C23semidirect
330. #121×C37C23semidirect
331. #121×C37C23semidirect
332. #121×C37C23semidirect
338. #120×C37C23semidirect
339. #120×C37C23semidirect
340. #120×C37C23semidirect
341. #120×C37C23semidirect
342. #120×C37C23semidirect
343. #120×C37C23semidirect
344. #120×C37C23semidirect
345. #120×C37C23semidirect
346. #120×C37C23semidirect
347. #120×C37C23semidirect
348. #120×C37C23semidirect
349. #120×C37C23semidirect
350. #120×C37C23semidirect
351. #120×C37C23semidirect
352. #120×C37C23semidirect
353. #120×C37C23semidirect
354. #120×C37C23semidirect
355. #120×C37C23semidirect
356. #120×C37C23semidirect
357. #120×C37C23semidirect
358. #120×C37C23semidirect
359. #120×C37C23semidirect
360. C4×Q8×C37C23semidirect
361. C4×Q8×C37C23semidirect
366. C4×D4×C37C23semidirect
367. C4×D4×C37C23semidirect
368. C4×D4×C37C23semidirect
369. C4×D4×C37C23semidirect
370. C4×D4×C37C23semidirect
371. C4×D4×C37C23semidirect
372. C4×D4×C37C23semidirect
373. C4×D4×C37C23semidirect
374. C4×D4×C37C23semidirect
375. C4×D4×C37C23semidirect
376. C4×D4×C37C23semidirect
377. C4×D4×C37C23semidirect
378. C4×D4×C37C23semidirect
379. C4×D4×C37C23semidirect
380. C4×D4×C37C23semidirect
381. C4×D4×C37C23semidirect
382. C4×D4×C37C23semidirect
383. C4×D4×C37C23semidirect
384. C4×D4×C37C23semidirect
385. C4×D4×C37C23semidirect
386. C4×D4×C37C23semidirect
387. C4×D4×C37C23semidirect
388. C4×D4×C37C23semidirect
389. C4×D4×C37C23semidirect
390. #117×C37C23semidirect
391. #117×C37C23semidirect
392. #117×C37C23semidirect
393. #117×C37C23semidirect
394. #117×C37C23semidirect
395. #117×C37C23semidirect
396. #117×C37C23semidirect
397. C2×C4⋊C4×C37C23semidirect
398. C2×C4⋊C4×C37C23semidirect
399. C2×C4⋊C4×C37C23semidirect
400. C2×C4⋊C4×C37C23semidirect
401. C2×C4⋊C4×C37C23semidirect
402. C2×C4⋊C4×C37C23semidirect
403. C2×C4⋊C4×C37C23semidirect
404. C2×C4⋊C4×C37C23semidirect
408. C2×C22⋊C4×C37C23semidirect
409. C2×C22⋊C4×C37C23semidirect
410. C2×C22⋊C4×C37C23semidirect
411. C2×C22⋊C4×C37C23semidirect
412. C2×C22⋊C4×C37C23semidirect
413. C2×C22⋊C4×C37C23semidirect
414. C2×C22⋊C4×C37C23semidirect
415. C2×C22⋊C4×C37C23semidirect
416. C2×C22⋊C4×C37C23semidirect
417. C2×C22⋊C4×C37C23semidirect
418. C2×C22⋊C4×C37C23semidirect
419. C2×C22⋊C4×C37C23semidirect
420. C2×C22⋊C4×C37C23semidirect
421. C2×C22⋊C4×C37C23semidirect
422. C2×C22⋊C4×C37C23semidirect
423. C2×C22⋊C4×C37C23semidirect
424. C2×C22⋊C4×C37C23semidirect
425. C2×C42×C37C23semidirect
426. C2×C42×C37C23semidirect
651. C23×C37H(5,𝔽2)semidirect
699. D4×C37H(5,𝔽2)semidirect
739. #62892C37direct (N × H)
788. #3558C2×C37semidirect
789. #3543C2×C37semidirect
790. #3542C2×C37semidirect
791. #3537C2×C37semidirect
792. #3537C2×C37semidirect
793. #3534C2×C37semidirect
794. #3534C2×C37semidirect
795. #3532C2×C37semidirect
796. #3519C2×C37semidirect
797. #3513C2×C37semidirect
798. #3505C2×C37semidirect
799. #3496C2×C37semidirect
800. #3490C2×C37semidirect
801. #3488C2×C37semidirect
802. #3484C2×C37semidirect
803. #3484C2×C37semidirect
804. C2×#546C2×C37semidirect
805. C2×D42C2×C37semidirect
806. #3459C2×C37semidirect
807. C2×#534C2×C37semidirect
819. C2×H(5,𝔽2)C22×C37semidirect
820. C2×H(5,𝔽2)C22×C37semidirect
821. C22×#41C22×C37semidirect
822. C23×D4C22×C37semidirect
823. C23×D4C22×C37semidirect
824. C23×D4C22×C37semidirect
825. #562C22×C37semidirect
826. #562C22×C37semidirect
827. H(3,𝔽4)C22×C37semidirect
828. #560C22×C37semidirect
829. #560C22×C37semidirect
830. #560C22×C37semidirect
831. #560C22×C37semidirect
832. #559C22×C37semidirect
833. #555C22×C37semidirect
834. #554C22×C37semidirect
835. #553C22×C37semidirect
836. #553C22×C37semidirect
837. #553C22×C37semidirect
838. #553C22×C37semidirect
839. #553C22×C37semidirect
840. #552C22×C37semidirect
841. #551C22×C37semidirect
842. #551C22×C37semidirect
843. #551C22×C37semidirect
844. #551C22×C37semidirect
845. #550C22×C37semidirect
846. #550C22×C37semidirect
847. #548C22×C37semidirect
848. #547C22×C37semidirect
849. #546C22×C37semidirect
850. #546C22×C37semidirect
851. #546C22×C37semidirect
852. #546C22×C37semidirect
853. #546C22×C37semidirect
854. #546C22×C37semidirect
855. #546C22×C37semidirect
856. #546C22×C37semidirect
857. #546C22×C37semidirect
858. #546C22×C37semidirect
859. #546C22×C37semidirect
860. #546C22×C37semidirect
861. #546C22×C37semidirect
862. #546C22×C37semidirect
863. #546C22×C37semidirect
864. #546C22×C37semidirect
865. D42C22×C37semidirect
866. D42C22×C37semidirect
867. D42C22×C37semidirect
868. D42C22×C37semidirect
869. D42C22×C37semidirect
870. D42C22×C37semidirect
871. D42C22×C37semidirect
872. D42C22×C37semidirect
873. D42C22×C37semidirect
874. D42C22×C37semidirect
875. D42C22×C37semidirect
876. D42C22×C37semidirect
877. D42C22×C37semidirect
878. D42C22×C37semidirect
879. #543C22×C37semidirect
880. #542C22×C37semidirect
881. #540C22×C37semidirect
882. #540C22×C37semidirect
883. #540C22×C37semidirect
884. #540C22×C37semidirect
885. #539C22×C37semidirect
886. #539C22×C37semidirect
887. #539C22×C37semidirect
888. #539C22×C37semidirect
889. #538C22×C37semidirect
890. #538C22×C37semidirect
891. #538C22×C37semidirect
892. #538C22×C37semidirect
893. #538C22×C37semidirect
894. #538C22×C37semidirect
895. #538C22×C37semidirect
896. #538C22×C37semidirect
897. #538C22×C37semidirect
898. #538C22×C37semidirect
899. #537C22×C37semidirect
900. #537C22×C37semidirect
901. #537C22×C37semidirect
902. #535C22×C37semidirect
903. #535C22×C37semidirect
904. #535C22×C37semidirect
905. #535C22×C37semidirect
906. #535C22×C37semidirect
907. #535C22×C37semidirect
908. #534C22×C37semidirect
909. #534C22×C37semidirect
910. #534C22×C37semidirect
911. #534C22×C37semidirect
912. #534C22×C37semidirect
913. #534C22×C37semidirect
914. #534C22×C37semidirect
915. #534C22×C37semidirect
916. #534C22×C37semidirect
917. #534C22×C37semidirect
918. #534C22×C37semidirect
919. #534C22×C37semidirect
920. #534C22×C37semidirect
921. #532C22×C37semidirect
922. C2×#127C22×C37semidirect
923. #529C22×C37semidirect
924. #529C22×C37semidirect
925. #529C22×C37semidirect
926. C2×#124C22×C37semidirect
927. #525C22×C37semidirect
928. #525C22×C37semidirect
929. #525C22×C37semidirect
930. #525C22×C37semidirect
931. #525C22×C37semidirect
932. #525C22×C37semidirect
933. C2×#123C22×C37semidirect
934. C2×#123C22×C37semidirect
935. C2×C22⋊Q8C22×C37semidirect
936. C2×#121C22×C37semidirect
937. C2×#121C22×C37semidirect
938. C2×#121C22×C37semidirect
939. C2×#121C22×C37semidirect
940. C2×#121C22×C37semidirect
941. C2×#121C22×C37semidirect
942. C2×#121C22×C37semidirect
943. C2×#121C22×C37semidirect
944. C2×#120C22×C37semidirect
945. C2×#120C22×C37semidirect
946. C2×#120C22×C37semidirect
947. C2×#120C22×C37semidirect
948. C2×#120C22×C37semidirect
949. #520C22×C37semidirect
950. #518C22×C37semidirect
951. #518C22×C37semidirect
952. C2×C4×D4C22×C37semidirect
953. C2×C4×D4C22×C37semidirect
954. C2×C4×D4C22×C37semidirect
955. C2×C4×D4C22×C37semidirect
956. C22×C22⋊C4C22×C37semidirect
957. C37#62892direct (N × H)
959. C25C23×C37semidirect
964. C2×#41C23×C37semidirect
965. C2×#41C23×C37semidirect
966. C2×#41C23×C37semidirect
967. C2×#41C23×C37semidirect
968. C2×#41C23×C37semidirect
969. C2×#41C23×C37semidirect
970. C2×#41C23×C37semidirect
971. C2×#41C23×C37semidirect
972. C22×Q8C23×C37semidirect
988. C22×D4C23×C37semidirect
989. C22×D4C23×C37semidirect
990. C22×D4C23×C37semidirect
991. C22×D4C23×C37semidirect
992. C22×D4C23×C37semidirect
993. C22×D4C23×C37semidirect
994. C22×D4C23×C37semidirect
995. C22×D4C23×C37semidirect
996. C22×D4C23×C37semidirect
997. C22×D4C23×C37semidirect
998. C22×D4C23×C37semidirect
999. C22×D4C23×C37semidirect
1000. C22×D4C23×C37semidirect
1001. C22×D4C23×C37semidirect
1002. C22×D4C23×C37semidirect
1003. C22×D4C23×C37semidirect
1004. C22×D4C23×C37semidirect
1005. C22×D4C23×C37semidirect
1007. C23×C4C23×C37semidirect
1008. C23×C4C23×C37semidirect
1009. C23×C4C23×C37semidirect
1010. C23×C4C23×C37semidirect
1011. C23×C4C23×C37semidirect
1012. C4⋊Q8C23×C37semidirect
1014. #127C23×C37semidirect
1015. #127C23×C37semidirect
1016. #127C23×C37semidirect
1017. #127C23×C37semidirect
1018. #127C23×C37semidirect
1019. #126C23×C37semidirect
1020. #126C23×C37semidirect
1021. #126C23×C37semidirect
1022. #126C23×C37semidirect
1023. #126C23×C37semidirect
1024. #126C23×C37semidirect
1025. #126C23×C37semidirect
1026. #126C23×C37semidirect
1027. #125C23×C37semidirect
1028. #125C23×C37semidirect
1029. #125C23×C37semidirect
1030. #125C23×C37semidirect
1031. #124C23×C37semidirect
1032. #124C23×C37semidirect
1033. #124C23×C37semidirect
1034. #124C23×C37semidirect
1035. #124C23×C37semidirect
1036. #124C23×C37semidirect
1037. #124C23×C37semidirect
1038. #124C23×C37semidirect
1039. #124C23×C37semidirect
1040. #124C23×C37semidirect
1041. #124C23×C37semidirect
1044. #123C23×C37semidirect
1045. #123C23×C37semidirect
1046. #123C23×C37semidirect
1047. #123C23×C37semidirect
1048. #123C23×C37semidirect
1049. #123C23×C37semidirect
1050. #123C23×C37semidirect
1051. #123C23×C37semidirect
1052. #123C23×C37semidirect
1053. #123C23×C37semidirect
1054. #123C23×C37semidirect
1055. #123C23×C37semidirect
1056. #123C23×C37semidirect
1057. #123C23×C37semidirect
1058. #123C23×C37semidirect
1059. #123C23×C37semidirect
1060. #123C23×C37semidirect
1061. #123C23×C37semidirect
1062. #123C23×C37semidirect
1063. #123C23×C37semidirect
1064. #123C23×C37semidirect
1065. #123C23×C37semidirect
1066. #123C23×C37semidirect
1067. C22⋊Q8C23×C37semidirect
1068. C22⋊Q8C23×C37semidirect
1069. C22⋊Q8C23×C37semidirect
1070. C22⋊Q8C23×C37semidirect
1071. C22⋊Q8C23×C37semidirect
1072. C22⋊Q8C23×C37semidirect
1073. C22⋊Q8C23×C37semidirect
1074. C22⋊Q8C23×C37semidirect
1075. C22⋊Q8C23×C37semidirect
1076. C22⋊Q8C23×C37semidirect
1077. C22⋊Q8C23×C37semidirect
1078. C22⋊Q8C23×C37semidirect
1079. C22⋊Q8C23×C37semidirect
1080. C22⋊Q8C23×C37semidirect
1081. C22⋊Q8C23×C37semidirect
1090. #121C23×C37semidirect
1091. #121C23×C37semidirect
1092. #121C23×C37semidirect
1093. #121C23×C37semidirect
1094. #121C23×C37semidirect
1095. #121C23×C37semidirect
1096. #121C23×C37semidirect
1097. #121C23×C37semidirect
1098. #121C23×C37semidirect
1099. #121C23×C37semidirect
1100. #121C23×C37semidirect
1101. #121C23×C37semidirect
1102. #121C23×C37semidirect
1103. #121C23×C37semidirect
1104. #121C23×C37semidirect
1105. #121C23×C37semidirect
1106. #121C23×C37semidirect
1107. #121C23×C37semidirect
1108. #121C23×C37semidirect
1109. #121C23×C37semidirect
1110. #121C23×C37semidirect
1111. #121C23×C37semidirect
1112. #121C23×C37semidirect
1113. #121C23×C37semidirect
1114. #121C23×C37semidirect
1115. #121C23×C37semidirect
1116. #121C23×C37semidirect
1117. #121C23×C37semidirect
1118. #121C23×C37semidirect
1119. #121C23×C37semidirect
1120. #121C23×C37semidirect
1121. #121C23×C37semidirect
1122. #121C23×C37semidirect
1123. #121C23×C37semidirect
1124. #121C23×C37semidirect
1125. #121C23×C37semidirect
1126. #121C23×C37semidirect
1127. #121C23×C37semidirect
1128. #121C23×C37semidirect
1129. #121C23×C37semidirect
1130. #121C23×C37semidirect
1131. #121C23×C37semidirect
1137. #120C23×C37semidirect
1138. #120C23×C37semidirect
1139. #120C23×C37semidirect
1140. #120C23×C37semidirect
1141. #120C23×C37semidirect
1142. #120C23×C37semidirect
1143. #120C23×C37semidirect
1144. #120C23×C37semidirect
1145. #120C23×C37semidirect
1146. #120C23×C37semidirect
1147. #120C23×C37semidirect
1148. #120C23×C37semidirect
1149. #120C23×C37semidirect
1150. #120C23×C37semidirect
1151. #120C23×C37semidirect
1152. #120C23×C37semidirect
1153. #120C23×C37semidirect
1154. #120C23×C37semidirect
1155. #120C23×C37semidirect
1156. #120C23×C37semidirect
1157. #120C23×C37semidirect
1158. #120C23×C37semidirect
1159. C4×Q8C23×C37semidirect
1160. C4×Q8C23×C37semidirect
1165. C4×D4C23×C37semidirect
1166. C4×D4C23×C37semidirect
1167. C4×D4C23×C37semidirect
1168. C4×D4C23×C37semidirect
1169. C4×D4C23×C37semidirect
1170. C4×D4C23×C37semidirect
1171. C4×D4C23×C37semidirect
1172. C4×D4C23×C37semidirect
1173. C4×D4C23×C37semidirect
1174. C4×D4C23×C37semidirect
1175. C4×D4C23×C37semidirect
1176. C4×D4C23×C37semidirect
1177. C4×D4C23×C37semidirect
1178. C4×D4C23×C37semidirect
1179. C4×D4C23×C37semidirect
1180. C4×D4C23×C37semidirect
1181. C4×D4C23×C37semidirect
1182. C4×D4C23×C37semidirect
1183. C4×D4C23×C37semidirect
1184. C4×D4C23×C37semidirect
1185. C4×D4C23×C37semidirect
1186. C4×D4C23×C37semidirect
1187. C4×D4C23×C37semidirect
1188. C4×D4C23×C37semidirect
1189. #117C23×C37semidirect
1190. #117C23×C37semidirect
1191. #117C23×C37semidirect
1192. #117C23×C37semidirect
1193. #117C23×C37semidirect
1194. #117C23×C37semidirect
1195. #117C23×C37semidirect
1196. C2×C4⋊C4C23×C37semidirect
1197. C2×C4⋊C4C23×C37semidirect
1198. C2×C4⋊C4C23×C37semidirect
1199. C2×C4⋊C4C23×C37semidirect
1200. C2×C4⋊C4C23×C37semidirect
1201. C2×C4⋊C4C23×C37semidirect
1202. C2×C4⋊C4C23×C37semidirect
1203. C2×C4⋊C4C23×C37semidirect
1207. C2×C22⋊C4C23×C37semidirect
1208. C2×C22⋊C4C23×C37semidirect
1209. C2×C22⋊C4C23×C37semidirect
1210. C2×C22⋊C4C23×C37semidirect
1211. C2×C22⋊C4C23×C37semidirect
1212. C2×C22⋊C4C23×C37semidirect
1213. C2×C22⋊C4C23×C37semidirect
1214. C2×C22⋊C4C23×C37semidirect
1215. C2×C22⋊C4C23×C37semidirect
1216. C2×C22⋊C4C23×C37semidirect
1217. C2×C22⋊C4C23×C37semidirect
1218. C2×C22⋊C4C23×C37semidirect
1219. C2×C22⋊C4C23×C37semidirect
1220. C2×C22⋊C4C23×C37semidirect
1221. C2×C22⋊C4C23×C37semidirect
1222. C2×C22⋊C4C23×C37semidirect
1223. C2×C22⋊C4C23×C37semidirect
1224. C2×C42C23×C37semidirect
1225. C2×C42C23×C37semidirect
1450. C23H(5,𝔽2)×C37semidirect
1498. D4H(5,𝔽2)×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35582
C37×#35432
C37×#35422
C37×#35372
C37×#35342
C37×#35322
C37×#35192
C37×#35132
C37×#35052
C37×#34962
C37×#34902
C37×#34882
C37×#34842
C2×C37×#5462
C2×D42×C372
C37×#34592
C2×C37×#5342
#6289237