Finite Group Databasebeta

← C37×#62942 #22684195

Subgroups — C37×#62942 #22684195

Order 9472.

6994 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3561C214yesmaximal, complemented
2C37×#3554C212yesmaximal, complemented
3C37×#3552C212yesmaximal, complemented
4C37×#3552C214yesmaximal, complemented
5C37×#3550C212yesmaximal, complemented
6C37×#3547C212yesmaximal, complemented
7C37×#3544C214yesmaximal, complemented
8C37×#3541C214yesmaximal, complemented
9C37×#3538C214yesmaximal, complemented
10C37×#3535C218yesmaximal, complemented
11C37×#3520C212yesmaximal, complemented
12C37×#3514C212yesmaximal, complemented
13C37×#3513C214yesmaximal, complemented
14C37×#3509C211yesmaximal, characteristic, complemented
15C37×#3507C211yesmaximal, characteristic, complemented
16C37×#3503C212yesmaximal, complemented
17C37×#3501C212yesmaximal, complemented
18C37×#3499C211yesmaximal, characteristic, complemented
19C37×#3495C212yesmaximal, complemented
20C37×#3489C212yesmaximal, complemented
21C37×#3486C212yesmaximal, complemented
22C37×#3475C211yesmaximal, characteristic, complemented
23D4×#41×C37C211yesmaximal, characteristic, complemented
24C2×D4×Q8×C37C211yesmaximal, characteristic, complemented
25C37×#3461C211yesmaximal, characteristic, complemented
26C2×C37×#536C212yesmaximal, complemented
27C2×2−1+4×C37C2212yescomplemented
28C22×#41×C37C2212yes—
29C23×Q8×C37C2212yescomplemented
30C37×#563C2218yescomplemented
31C37×#563C2218yescomplemented
32C37×#563C2218yescomplemented
33C37×#563C2218yescomplemented
34C37×#562C2218yescomplemented
35C37×#562C2218yescomplemented
36C37×#559C2212yescomplemented
37C37×#559C2214yescomplemented
38Q82×C37C2214yescomplemented
39C37×#557C2212yescomplemented
40C37×#557C2212yescomplemented
41C37×#557C2212yescomplemented
42C37×#556C2211yescharacteristic, complemented
43C37×#556C2214yescomplemented
44C37×#556C2212yescomplemented
45C37×#556C2214yescomplemented
46C37×#556C2212yescomplemented
47C37×#556C2212yescomplemented
48C37×#555C2211yescharacteristic, complemented
49C37×#555C2214yescomplemented
50C37×#554C2211yescharacteristic
51C37×#554C2214yes—
52C37×#554C2214yescomplemented
53C37×#554C2212yescomplemented
54C37×#554C2218yescomplemented
55C37×#554C2214yescomplemented
56C37×#554C2218yescomplemented
57C37×#554C2214yescomplemented
58C37×#553C2212yescomplemented
59C37×#553C2218yescomplemented
60C37×#553C2214yescomplemented
61C37×#552C2212yescomplemented
62C37×#552C2212yescomplemented
63C37×#552C2214yescomplemented
64C37×#552C2218yescomplemented
65C37×#552C2214yescomplemented
66C37×#552C2214yescomplemented
67C37×#552C2214yescomplemented
68C37×#552C2214yescomplemented
69C37×#551C2214yescomplemented
70C37×#551C2218yescomplemented
71C37×#551C2218yescomplemented
72C37×#551C2218yescomplemented
73C37×#551C2218yescomplemented
74C37×#550C2211yescharacteristic
75D4×Q8×C37C2212yes—
76D4×Q8×C37C2212yes—
77D4×Q8×C37C2211yescharacteristic
78D4×Q8×C37C2214yescomplemented
79D4×Q8×C37C2212yescomplemented
80D4×Q8×C37C2212yescomplemented
81D4×Q8×C37C2214yescomplemented
82D4×Q8×C37C2214yescomplemented
83D4×Q8×C37C2214yescomplemented
84D4×Q8×C37C2214yescomplemented
85D4×Q8×C37C2214yescomplemented
86D4×Q8×C37C2214yescomplemented
87D4×Q8×C37C2212yescomplemented
88D4×Q8×C37C2212yescomplemented
89C37×#548C2212yes—
90C37×#548C2214yescomplemented
91C37×#548C2214yescomplemented
92C37×#548C2214yescomplemented
93C37×#548C2214yescomplemented
94C37×#548C2214yescomplemented
95C37×#547C2212yes—
96C37×#547C2211yescharacteristic
97C37×#547C2211yescharacteristic
98C37×#547C2218yescomplemented
99C37×#547C2214yescomplemented
100C37×#547C2214yescomplemented
101C37×#547C2212yescomplemented
102C37×#547C2214yescomplemented
103C37×#547C2212yescomplemented
104C37×#546C2214yes—
105C37×#546C2212yes—
106C37×#546C2212yes—
107C37×#546C2214yes—
108C37×#546C2218yescomplemented
109C37×#546C2214yescomplemented
110D42×C37C2212yes—
111D42×C37C2211yescharacteristic
112C37×#544C2211yescharacteristic, complemented
113C37×#544C2214yescomplemented
114C37×#544C2218yescomplemented
115C37×#544C2214yescomplemented
116C37×#544C2218yescomplemented
117C37×#543C2218yescomplemented
118C37×#542C2212yescomplemented
119C37×#542C2212yescomplemented
120C37×#542C2214yescomplemented
121C37×#542C2214yescomplemented
122C37×#542C2214yescomplemented
123C37×#542C2214yescomplemented
124C37×#542C2218yescomplemented
125C37×#542C2218yescomplemented
126C37×#542C2218yescomplemented
127C37×#541C2212yescomplemented
128C37×#541C2212yescomplemented
129C37×#541C2214yescomplemented
130C37×#541C2214yescomplemented
131C37×#540C2214yescomplemented
132C37×#539C2214yescomplemented
133C37×#539C2214yescomplemented
134C37×#539C2218yescomplemented
135C37×#539C2218yescomplemented
136C37×#539C2218yescomplemented
137C37×#539C2218yescomplemented
138C37×#538C2218yescomplemented
139C37×#538C2218yescomplemented
140C37×#537C2211yescharacteristic
141C37×#537C2214yescomplemented
142C37×#536C2211yescharacteristic
143C37×#536C2212yes—
144C37×#536C2212yescomplemented
145C37×#536C2212yescomplemented
146C37×#536C2218yescomplemented
147C37×#536C2214yescomplemented
148C37×#536C2214yescomplemented
149C37×#536C2214yescomplemented
150C37×#536C2214yescomplemented
151C37×#536C2211yescharacteristic, complemented
152C37×#536C2218yescomplemented
153C37×#536C2214yescomplemented
154C37×#536C2214yescomplemented
155C37×#533C2212yescomplemented
156C37×#533C2212yescomplemented
157C37×#533C2211yescharacteristic, complemented
158C37×#533C2214yescomplemented
159C37×#533C2212yescomplemented
160C37×#533C2212yescomplemented
161C37×#532C2211yescharacteristic
162C37×#532C2212yes—
163C37×#532C2212yescomplemented
164C2×C4⋊Q8×C37C2214yescomplemented
165C2×C4⋊Q8×C37C2211yescharacteristic, complemented
166C2×C4⋊Q8×C37C2212yescomplemented
167C2×C4⋊Q8×C37C2212yescomplemented
168C37×#529C2214yescomplemented
169C37×#529C2212yescomplemented
170C37×#529C2212yescomplemented
171C37×#529C2212yescomplemented
172C37×#529C2214yescomplemented
173C37×#529C2214yescomplemented
174C37×#529C2214yescomplemented
175C2×#124×C37C2214yescomplemented
176C37×#525C2212yes—
177C37×#525C2214yes—
178C37×#525C2212yescomplemented
179C37×#525C2218yescomplemented
180C37×#525C2214yescomplemented
181C2×#123×C37C2218yescomplemented
182C2×C22⋊Q8×C37C2214yescomplemented
183C2×C22⋊Q8×C37C2214yescomplemented
184C2×C22⋊Q8×C37C2212yescomplemented
185C2×C22⋊Q8×C37C2214yescomplemented
186C2×C22⋊Q8×C37C2214yescomplemented
187C37×#520C2214yes—
188C37×#520C2212yescomplemented
189C37×#519C2212yescomplemented
190C37×#518C2214yes—
191C4×#41×C37C2211yescharacteristic
192C4×#41×C37C2212yes—
193C4×#41×C37C2211yescharacteristic, complemented
194C2×C4×Q8×C37C2211yescharacteristic, complemented
195C2×C4×D4×C37C2211yescharacteristic
196C2×C4×D4×C37C2212yes—
197C2×C4×D4×C37C2212yes—
198C2×#117×C37C2212yescomplemented
1992−1+4×C37—48no—
200C2×#41×C37—48no—
201C2×#41×C37C2312yes—
202C2×#41×C37C2312yes—
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2314yes—
206C2×#41×C37C2318yes—
207C2×#41×C37C2314yes—
208C2×#41×C37C2314yes—
209C2×#41×C37C2314yes—
210C2×#41×C37C2312yes—
211C2×#41×C37C2312yes—
212C22×Q8×C37—48no—
213C22×Q8×C37C2312yes—
214C22×Q8×C37C2311yescharacteristic
215C22×Q8×C37C2314yes—
216C22×Q8×C37C2314yes—
217C22×Q8×C37C2314yes—
218C22×Q8×C37C2314yes—
219C22×Q8×C37C2312yes—
220C22×Q8×C37C2314yes—
221C22×Q8×C37C2314yes—
222C22×Q8×C37C2314yes—
223C22×D4×C37C2311yescharacteristic
224C22×D4×C37C2312yes—
225C22×D4×C37C2314yes—
226C22×D4×C37C2312yes—
227C23×C4×C37C2312yes—
228C23×C4×C37C2314yes—
229C23×C4×C37C2314yes—
230C4⋊Q8×C37C2311yescharacteristic
231C4⋊Q8×C37C2312yes—
232C4⋊Q8×C37C2312yes—
233C4⋊Q8×C37C2314yes—
234C4⋊Q8×C37C2312yes—
235C4⋊Q8×C37C2314yes—
236C4⋊Q8×C37C2318yes—
237C4⋊Q8×C37C2314yes—
238C4⋊Q8×C37C2312yes—
239C4⋊Q8×C37C2318yes—
240C4⋊Q8×C37C2312yes—
241C4⋊Q8×C37C2314yes—
242C4⋊Q8×C37C2314yes—
243C4⋊Q8×C37C2314yes—
244C4⋊Q8×C37C2318yes—
245C4⋊Q8×C37C2314yes—
246C4⋊Q8×C37C2312yes—
247C4⋊Q8×C37C2312yes—
248C4⋊Q8×C37C2311yescharacteristic
249C4⋊Q8×C37C2311yescharacteristic
250C4⋊Q8×C37C2312yes—
251C4⋊Q8×C37C2312yes—
252C4⋊Q8×C37C2318yes—
253C4⋊Q8×C37C2318yes—
254C4⋊Q8×C37C2318yes—
255#127×C37C2311yescharacteristic
256#127×C37C2312yes—
257#126×C37C2318yes—
258#126×C37C2318yes—
259#126×C37C2314yes—
260#126×C37C2314yes—
261#126×C37C2314yes—
262#126×C37C2314yes—
263#126×C37C2314yes—
264#126×C37C2314yes—
265#126×C37C2314yes—
266#126×C37C2318yes—
267#126×C37C2318yes—
268#126×C37C2318yes—
269#126×C37C2318yes—
270#126×C37C2318yes—
271#126×C37C2318yes—
272#125×C37C2312yes—
273#125×C37C2314yes—
274#125×C37C2312yes—
275#125×C37C2314yes—
276#125×C37C2312yes—
277#125×C37C2314yes—
278#125×C37C2314yes—
279#125×C37C2314yes—
280#125×C37C2314yes—
281#125×C37C2314yes—
282#125×C37C2312yes—
283#125×C37C2318yes—
284#125×C37C2318yes—
285#125×C37C2318yes—
286#125×C37C2318yes—
287#125×C37C2318yes—
288#125×C37C2318yes—
289#124×C37C2312yes—
290#124×C37C2314yes—
291#124×C37C2314yes—
292#124×C37C2318yes—
293#124×C37C2314yes—
294#124×C37C2318yes—
295#124×C37C2312yes—
296#124×C37C2314yes—
297#124×C37C2312yes—
298#124×C37C2314yes—
299#124×C37C2314yes—
300#124×C37C2312yes—
301#124×C37C2314yes—
302#124×C37C2318yes—
303#124×C37C2318yes—
304#124×C37C2318yes—
305#124×C37C2318yes—
306#123×C37C2314yes—
307#123×C37C2318yes—
308#123×C37C2318yes—
309#123×C37C2318yes—
310#123×C37C2318yes—
311#123×C37C2318yes—
312#123×C37C2318yes—
313#123×C37C2318yes—
314#123×C37C2314yes—
315#123×C37C2314yes—
316#123×C37C2314yes—
317#123×C37C2314yes—
318#123×C37C2314yes—
319#123×C37C2318yes—
320#123×C37C2314yes—
321#123×C37C2314yes—
322#123×C37C2318yes—
323#123×C37C2314yes—
324#123×C37C2314yes—
325#123×C37C2314yes—
326#123×C37C2318yes—
327#123×C37C2318yes—
328#123×C37C2318yes—
329#123×C37C2318yes—
330#123×C37C2318yes—
331#123×C37C2318yes—
332C22⋊Q8×C37C2314yes—
333C22⋊Q8×C37C2312yes—
334C22⋊Q8×C37C2312yes—
335C22⋊Q8×C37C2312yes—
336C22⋊Q8×C37C2314yes—
337C22⋊Q8×C37C2312yes—
338C22⋊Q8×C37C2314yes—
339C22⋊Q8×C37C2314yes—
340C22⋊Q8×C37C2318yes—
341C22⋊Q8×C37C2318yes—
342C22⋊Q8×C37C2314yes—
343C22⋊Q8×C37C2314yes—
344C22⋊Q8×C37C2314yes—
345C22⋊Q8×C37C2314yes—
346C22⋊Q8×C37C2318yes—
347C22⋊Q8×C37C2318yes—
348C22⋊Q8×C37C2314yes—
349C22⋊Q8×C37C2318yes—
350C22⋊Q8×C37C2318yes—
351C22⋊Q8×C37C2318yes—
352C22⋊Q8×C37C2318yes—
353C22⋊Q8×C37C2314yes—
354C22⋊Q8×C37C2318yes—
355C22⋊Q8×C37C2318yes—
356C22⋊Q8×C37C2312yes—
357C22⋊Q8×C37C2312yes—
358C22⋊Q8×C37C2314yes—
359C22⋊Q8×C37C2314yes—
360C22⋊Q8×C37C2312yes—
361C22⋊Q8×C37C2318yes—
362C22⋊Q8×C37C2318yes—
363C22⋊Q8×C37C2312yes—
364C22⋊Q8×C37C2312yes—
365C22⋊Q8×C37C2314yes—
366C22⋊Q8×C37C2312yes—
367C22⋊Q8×C37C2314yes—
368C22⋊Q8×C37C2312yes—
369C22⋊Q8×C37C2312yes—
370C22⋊Q8×C37C2318yes—
371C22⋊Q8×C37C2312yes—
372C22⋊Q8×C37C2314yes—
373C22⋊Q8×C37C2314yes—
374C22⋊Q8×C37C2314yes—
375C22⋊Q8×C37C2314yes—
376C22⋊Q8×C37C2318yes—
377C22⋊Q8×C37C2318yes—
378C22⋊Q8×C37C2318yes—
379C22⋊Q8×C37C2318yes—
380C22⋊Q8×C37C2318yes—
381C22⋊Q8×C37C2318yes—
382C22⋊Q8×C37C2318yes—
383C22⋊Q8×C37C2318yes—
384C22⋊Q8×C37C2318yes—
385#121×C37C2312yes—
386#121×C37C2314yes—
387#121×C37C2314yes—
388#121×C37C2312yes—
389#121×C37C2312yes—
390#121×C37C2312yes—
391#121×C37C2312yes—
392#121×C37C2318yes—
393#121×C37C2318yes—
394#121×C37C2312yes—
395#121×C37C2314yes—
396#121×C37C2312yes—
397#121×C37C2314yes—
398#121×C37C2312yes—
399#121×C37C2312yes—
400#121×C37C2312yes—
401#121×C37C2312yes—
402#121×C37C2314yes—
403#121×C37C2314yes—
404#121×C37C2314yes—
405#121×C37C2318yes—
406#121×C37C2318yes—
407#121×C37C2318yes—
408#120×C37C2314yes—
409#120×C37C2314yes—
410#120×C37C2314yes—
411#120×C37C2314yes—
412#120×C37C2318yes—
413C4×Q8×C37C2314yes—
414C4×Q8×C37C2314yes—
415C4×Q8×C37C2314yes—
416C4×Q8×C37C2314yes—
417C4×Q8×C37C2314yes—
418C4×Q8×C37C2314yes—
419C4×Q8×C37C2314yes—
420C4×Q8×C37C2312yes—
421C4×Q8×C37C2314yes—
422C4×Q8×C37C2312yes—
423C4×Q8×C37C2312yes—
424C4×Q8×C37C2312yes—
425C4×Q8×C37C2311yescharacteristic
426C4×Q8×C37C2311yescharacteristic
427C4×Q8×C37C2314yes—
428C4×Q8×C37C2318yes—
429C4×Q8×C37C2311yescharacteristic
430C4×Q8×C37C2311yescharacteristic
431C4×Q8×C37C2312yes—
432C4×Q8×C37C2312yes—
433C4×Q8×C37C2312yes—
434C4×D4×C37C2312yes—
435C4×D4×C37C2318yes—
436C4×D4×C37C2318yes—
437C4×D4×C37C2314yes—
438C4×D4×C37C2318yes—
439C4×D4×C37C2314yes—
440C4×D4×C37C2312yes—
441C4×D4×C37C2314yes—
442C4×D4×C37C2314yes—
443C4×D4×C37C2312yes—
444C4×D4×C37C2314yes—
445C4×D4×C37C2314yes—
446C4×D4×C37C2318yes—
447C4×D4×C37C2318yes—
448C4×D4×C37C2318yes—
449C4×D4×C37C2318yes—
450C4×D4×C37C2314yes—
451C4×D4×C37C2312yes—
452C4×D4×C37C2311yescharacteristic
453C4×D4×C37C2312yes—
454C4×D4×C37C2312yes—
455C4×D4×C37C2311yescharacteristic
456C4×D4×C37C2311yescharacteristic
457C4×D4×C37C2318yes—
458C4×D4×C37C2314yes—
459C4×D4×C37C2312yes—
460C4×D4×C37C2311yescharacteristic
461C4×D4×C37C2314yes—
462C4×D4×C37C2314yes—
463C4×D4×C37C2314yes—
464C4×D4×C37C2318yes—
465C4×D4×C37C2312yes—
466C4×D4×C37C2314yes—
467C4×D4×C37C2312yes—
468C4×D4×C37C2314yes—
469C4×D4×C37C2311yescharacteristic
470C4×D4×C37C2312yes—
471C4×D4×C37C2311yescharacteristic
472C4×D4×C37C2311yescharacteristic
473C4×D4×C37C2312yes—
474C4×D4×C37C2311yescharacteristic
475#117×C37C2311yescharacteristic
476#117×C37C2312yes—
477#117×C37C2318yes—
478#117×C37C2314yes—
479#117×C37C2318yes—
480#117×C37C2314yes—
481#117×C37C2312yes—
482#117×C37C2314yes—
483#117×C37C2314yes—
484#117×C37C2312yes—
485#117×C37C2318yes—
486#117×C37C2318yes—
487#117×C37C2314yes—
488#117×C37C2314yes—
489#117×C37C2311yescharacteristic
490#117×C37C2314yes—
491#117×C37C2312yes—
492#117×C37C2312yes—
493#117×C37C2314yes—
494#117×C37C2312yes—
495C2×C4⋊C4×C37C2318yes—
496C2×C4⋊C4×C37C2314yes—
497C2×C4⋊C4×C37C2311yescharacteristic
498C2×C4⋊C4×C37C2314yes—
499C2×C4⋊C4×C37C2312yes—
500C2×C4⋊C4×C37C2314yes—
501C2×C4⋊C4×C37C2312yes—
502C2×C4⋊C4×C37C2312yes—
503C2×C4⋊C4×C37C2312yes—
504C2×C4⋊C4×C37C2318yes—
505C2×C4⋊C4×C37C2318yes—
506C2×C4⋊C4×C37C2311yescharacteristic
507C2×C4⋊C4×C37C2312yes—
508C2×C4⋊C4×C37C2314yes—
509C2×C4⋊C4×C37C2312yes—
510C2×C22⋊C4×C37C2312yes—
511C2×C22⋊C4×C37C2314yes—
512C2×C22⋊C4×C37C2318yes—
513C2×C22⋊C4×C37C2318yes—
514C2×C22⋊C4×C37C2318yes—
515C2×C22⋊C4×C37C2314yes—
516C2×C22⋊C4×C37C2314yes—
517C2×C42×C37C2314yes—
518C2×C42×C37C2312yes—
519C2×C42×C37C2312yes—
520C2×C42×C37C2312yes—
521C2×C42×C37C2311yescharacteristic
522C24×C37C2412yes—
523C24×C37C2414yes—
524#41×C37—28no—
525#41×C37—24no—
526#41×C37—28no—
527#41×C37—24no—
528#41×C37—48no—
529#41×C37—48no—
530#41×C37—416no—
531#41×C37—44no—
532#41×C37—44no—
533#41×C37—48no—
534#41×C37—48no—
535C2×Q8×C37—24no—
536C2×Q8×C37—28no—
537C2×Q8×C37—48no—
538C2×Q8×C37—48no—
539C2×Q8×C37—48no—
540C2×Q8×C37—48no—
541C2×Q8×C37—48no—
542C2×Q8×C37—44no—
543C2×Q8×C37—48no—
544C2×Q8×C37—48no—
545C2×Q8×C37C2412yes—
546C2×Q8×C37C2412yes—
547C2×Q8×C37C2414yes—
548C2×Q8×C37C2411yescharacteristic
549C2×Q8×C37C2412yes—
550C2×Q8×C37C2414yes—
551C2×Q8×C37C2412yes—
552C2×Q8×C37C2411yescharacteristic
553C2×Q8×C37C2412yes—
554C2×Q8×C37C2414yes—
555C2×Q8×C37C2418yes—
556C2×Q8×C37C2418yes—
557C2×Q8×C37C2418yes—
558C2×Q8×C37C2414yes—
559C2×D4×C37—24no—
560C2×D4×C37—28no—
561C2×D4×C37—44no—
562C2×D4×C37—48no—
563C2×D4×C37C2414yes—
564C2×D4×C37C2414yes—
565C2×D4×C37C2412yes—
566C2×D4×C37C2411yescharacteristic
567C2×D4×C37C2412yes—
568C2×D4×C37C2412yes—
569C2×D4×C37C2414yes—
570C2×D4×C37C2411yescharacteristic
571C2×D4×C37C2412yes—
572C2×D4×C37C2411yescharacteristic
573C2×D4×C37C2412yes—
574C2×D4×C37C2414yes—
575C2×D4×C37C2412yes—
576C2×D4×C37C2414yes—
577C2×D4×C37C2414yes—
578C2×D4×C37C2418yes—
579C2×D4×C37C2414yes—
580C2×D4×C37C2414yes—
581C2×D4×C37C2414yes—
582C2×D4×C37C2411yescharacteristic
583C22×C4×C37—28no—
584C22×C4×C37—48no—
585C22×C4×C37—48no—
586C22×C4×C37C2411yescharacteristic
587C22×C4×C37C2412yes—
588C22×C4×C37C2414yes—
589C22×C4×C37C2412yes—
590C22×C4×C37C2412yes—
591C22×C4×C37C2412yes—
592C22×C4×C37C2412yes—
593C22×C4×C37C2412yes—
594C22×C4×C37C2412yes—
595C22×C4×C37C2414yes—
596C22×C4×C37C2412yes—
597C22×C4×C37C2414yes—
598C22×C4×C37C2412yes—
599C22×C4×C37C2412yes—
600C22×C4×C37C2414yes—
601C22×C4×C37C2411yescharacteristic
602C22×C4×C37C2412yes—
603C22×C4×C37C2412yes—
604C22×C4×C37C2412yes—
605C22×C4×C37C2418yes—
606C22×C4×C37C2418yes—
607C22×C4×C37C2418yes—
608C22×C4×C37C2414yes—
609C22×C4×C37C2414yes—
610C22×C4×C37C2418yes—
611C22×C4×C37C2414yes—
612C22×C4×C37C2418yes—
613C22×C4×C37C2411yescharacteristic
614C4⋊C4×C37C2412yes—
615C4⋊C4×C37C2412yes—
616C4⋊C4×C37C2411yescharacteristic
617C4⋊C4×C37C2412yes—
618C4⋊C4×C37C2411yescharacteristic
619C4⋊C4×C37C2411yescharacteristic
620C4⋊C4×C37C2414yes—
621C4⋊C4×C37C2414yes—
622C4⋊C4×C37C2418yes—
623C4⋊C4×C37C2414yes—
624C4⋊C4×C37C2412yes—
625C4⋊C4×C37C2418yes—
626C4⋊C4×C37C2414yes—
627C4⋊C4×C37C2418yes—
628C4⋊C4×C37C2414yes—
629C4⋊C4×C37C2414yes—
630C4⋊C4×C37C2418yes—
631C4⋊C4×C37C2412yes—
632C4⋊C4×C37C2411yescharacteristic
633C4⋊C4×C37C2414yes—
634C4⋊C4×C37C2414yes—
635C4⋊C4×C37C2418yes—
636C4⋊C4×C37C2418yes—
637C4⋊C4×C37C2414yes—
638C4⋊C4×C37C2412yes—
639C4⋊C4×C37C2414yes—
640C4⋊C4×C37C2412yes—
641C4⋊C4×C37C2414yes—
642C4⋊C4×C37C2418yes—
643C4⋊C4×C37C2418yes—
644C4⋊C4×C37C2418yes—
645C4⋊C4×C37C2414yes—
646C4⋊C4×C37C2414yes—
647C4⋊C4×C37C2412yes—
648C4⋊C4×C37C2414yes—
649C4⋊C4×C37C2414yes—
650C4⋊C4×C37C2414yes—
651C4⋊C4×C37C2412yes—
652C4⋊C4×C37C2414yes—
653C4⋊C4×C37C2414yes—
654C4⋊C4×C37C2411yescharacteristic
655C4⋊C4×C37C2411yescharacteristic
656C4⋊C4×C37C2412yes—
657C4⋊C4×C37C2412yes—
658C4⋊C4×C37C2412yes—
659C4⋊C4×C37C2412yes—
660C4⋊C4×C37C2414yes—
661C4⋊C4×C37C2414yes—
662C4⋊C4×C37C2418yes—
663C4⋊C4×C37C2418yes—
664C4⋊C4×C37C2414yes—
665C4⋊C4×C37C2414yes—
666C22⋊C4×C37C2412yes—
667C22⋊C4×C37C2412yes—
668C22⋊C4×C37C2418yes—
669C22⋊C4×C37C2414yes—
670C22⋊C4×C37C2418yes—
671C22⋊C4×C37C2414yes—
672C22⋊C4×C37C2414yes—
673C22⋊C4×C37C2414yes—
674C22⋊C4×C37C2414yes—
675C22⋊C4×C37C2414yes—
676C22⋊C4×C37C2412yes—
677C22⋊C4×C37C2414yes—
678C22⋊C4×C37C2414yes—
679C22⋊C4×C37C2418yes—
680C22⋊C4×C37C2418yes—
681C22⋊C4×C37C2418yes—
682C22⋊C4×C37C2412yes—
683C22⋊C4×C37C2414yes—
684C22⋊C4×C37C2414yes—
685C22⋊C4×C37C2418yes—
686C22⋊C4×C37C2412yes—
687C22⋊C4×C37C2418yes—
688C22⋊C4×C37C2418yes—
689C22⋊C4×C37C2412yes—
690C22⋊C4×C37C2414yes—
691C22⋊C4×C37C2414yes—
692C22⋊C4×C37C2412yes—
693C22⋊C4×C37C2412yes—
694C22⋊C4×C37C2418yes—
695C22⋊C4×C37C2414yes—
696C22⋊C4×C37C2414yes—
697C22⋊C4×C37C2414yes—
698C22⋊C4×C37C2412yes—
699C22⋊C4×C37C2412yes—
700C22⋊C4×C37C2414yes—
701C22⋊C4×C37C2414yes—
702C22⋊C4×C37C2414yes—
703C22⋊C4×C37C2414yes—
704C42×C37C2412yes—
705C42×C37C2411yescharacteristic
706C42×C37C2411yescharacteristic
707C42×C37C2414yes—
708C42×C37C2411yescharacteristic
709C42×C37C2412yes—
710C42×C37C2412yes—
711C42×C37C2414yes—
712C42×C37C2414yes—
713C42×C37C2411yescharacteristic
714C42×C37C2412yes—
715C42×C37C2412yes—
716C42×C37C2414yes—
717C42×C37C2414yes—
718C42×C37C2412yes—
719C42×C37C2418yes—
720C42×C37C2418yes—
721C42×C37C2418yes—
722C23×C37—24no—
723C23×C37—24no—
724C23×C37—28no—
725C23×C37—42no—
726C23×C37—44no—
727C23×C37—44no—
728C23×C37C2512yes—
729C23×C37C2512yes—
730C23×C37C2514yes—
731C23×C37C2512yes—
732C23×C37C2511yescharacteristic
733C23×C37C2512yes—
734Q8×C37—24no—
735Q8×C37—24no—
736Q8×C37—28no—
737Q8×C37—28no—
738Q8×C37—22no—
739Q8×C37—24no—
740Q8×C37—22no—
741Q8×C37—24no—
742Q8×C37—48no—
743Q8×C37—48no—
744Q8×C37—48no—
745Q8×C37—44no—
746Q8×C37—42no—
747Q8×C37—44no—
748D4×C37—24no—
749D4×C37—28no—
750D4×C37—24no—
751D4×C37—24no—
752D4×C37—28no—
753D4×C37—28no—
754D4×C37—22no—
755D4×C37—24no—
756D4×C37—22no—
757D4×C37—22no—
758D4×C37—24no—
759D4×C37—44no—
760D4×C37—44no—
761D4×C37—44no—
762D4×C37—42no—
763D4×C37—44no—
764D4×C37—44no—
765D4×C37—44no—
766D4×C37—48no—
767D4×C372−1+414yescomplemented
768C2×C4×C37—24no—
769C2×C4×C37—24no—
770C2×C4×C37—28no—
771C2×C4×C37—28no—
772C2×C4×C37—24no—
773C2×C4×C37—24no—
774C2×C4×C37—24no—
775C2×C4×C37—24no—
776C2×C4×C37—24no—
777C2×C4×C37—28no—
778C2×C4×C37—24no—
779C2×C4×C37—22no—
780C2×C4×C37—24no—
781C2×C4×C37—24no—
782C2×C4×C37—44no—
783C2×C4×C37—48no—
784C2×C4×C37—48no—
785C2×C4×C37—44no—
786C2×C4×C37—44no—
787C2×C4×C37—41no—
788C2×C4×C37—42no—
789C2×C4×C37—42no—
790C2×C4×C37—48no—
791C2×C4×C37—44no—
792C2×C4×C37—42no—
793C2×C4×C37—48no—
794C2×C4×C37—48no—
795C2×C4×C37H(5,𝔽2)14yes—
796C2×C4×C37C2514yes—
797C2×C4×C37C2511yescharacteristic
798C2×C4×C37C2512yes—
799C2×C4×C37C2512yes—
800C2×C4×C37C2512yes—
801C2×C4×C37C2512yes—
802C2×C4×C37C2511yescharacteristic
803C2×C4×C37C2514yes—
804C2×C4×C37C2514yes—
805C2×C4×C37C2511yescharacteristic
806C2×C4×C37C2512yes—
807C2×C4×C37C2514yes—
808C2×C4×C37C2512yes—
809C2×C4×C37C2518yes—
810C2×C4×C37C2514yes—
811C2×C4×C37C2512yes—
812C2×C4×C37C2512yes—
813C2×C4×C37C2511yescharacteristic
814C2×C4×C37C2511yescharacteristic
815C2×C4×C37C2511yescharacteristic
816#62942C3711yesmaximal, characteristic, direct product factor, Sylow
817C22×C37—22no—
818C22×C37—21no—
819C22×C37—21no—
820C22×C37—22no—
821C22×C37—22no—
822C22×C37—22no—
823C22×C37—24no—
824C22×C37—22no—
825C22×C37—22no—
826C22×C37—22no—
827C22×C37—22no—
828C22×C37—24no—
829C22×C37—24no—
830C22×C37—22no—
831C22×C37—22no—
832C22×C37—22no—
833C22×C37—48no—
834C22×C37—88no—
835C22×C37C2×H(5,𝔽2)12yes—
836C22×C37C2×2−1+414yes—
837C22×C37C2611yescharacteristic
838C4×C37—22no—
839C4×C37—22no—
840C4×C37—22no—
841C4×C37—24no—
842C4×C37—22no—
843C4×C37—28no—
844C4×C37—24no—
845C4×C37—22no—
846C4×C37—21no—
847C4×C37—22no—
848C4×C37—24no—
849C4×C37—21no—
850C4×C37—24no—
851C4×C37—24no—
852C4×C37—21no—
853C4×C37—22no—
854C4×C37—22no—
855C4×C37C2×H(5,𝔽2)12yes—
856C4×C37C2×H(5,𝔽2)12yes—
857C4×C37C2×2−1+412yes—
858#3561C2×C3714yescomplemented
859#3554C2×C3712yescomplemented
860#3552C2×C3712yescomplemented
861#3552C2×C3714yescomplemented
862#3550C2×C3712yescomplemented
863#3547C2×C3712yescomplemented
864#3544C2×C3714yescomplemented
865#3541C2×C3714yescomplemented
866#3538C2×C3714yescomplemented
867#3535C2×C3718yescomplemented
868#3520C2×C3712yescomplemented
869#3514C2×C3712yescomplemented
870#3513C2×C3714yescomplemented
871#3509C2×C3711yescharacteristic, complemented
872#3507C2×C3711yescharacteristic, complemented
873#3503C2×C3712yescomplemented
874#3501C2×C3712yescomplemented
875#3499C2×C3711yescharacteristic, complemented
876#3495C2×C3712yescomplemented
877#3489C2×C3712yescomplemented
878#3486C2×C3712yescomplemented
879#3475C2×C3711yescharacteristic, complemented
880D4×#41C2×C3711yescharacteristic, complemented
881C2×D4×Q8C2×C3711yescharacteristic, complemented
882#3461C2×C3711yescharacteristic, complemented
883C2×#536C2×C3712yescomplemented
884C2×C37—22no—
885C2×C37—24no—
886C2×C37—42no—
887C2×C37—42no—
888C2×C37—44no—
889C2×C37—42no—
890C2×C37C22×H(5,𝔽2)11yescharacteristic
891C2×C37C22×2−1+411yescharacteristic
892C2×C372−1+611yescharacteristic
893C2×2−1+4C22×C3712yescomplemented
894C22×#41C22×C3712yes—
895C23×Q8C22×C3712yescomplemented
896#563C22×C3718yescomplemented
897#563C22×C3718yescomplemented
898#563C22×C3718yescomplemented
899#563C22×C3718yescomplemented
900#562C22×C3718yescomplemented
901#562C22×C3718yescomplemented
902#559C22×C3712yescomplemented
903#559C22×C3714yescomplemented
904Q82C22×C3714yescomplemented
905#557C22×C3712yescomplemented
906#557C22×C3712yescomplemented
907#557C22×C3712yescomplemented
908#556C22×C3711yescharacteristic, complemented
909#556C22×C3714yescomplemented
910#556C22×C3712yescomplemented
911#556C22×C3714yescomplemented
912#556C22×C3712yescomplemented
913#556C22×C3712yescomplemented
914#555C22×C3711yescharacteristic, complemented
915#555C22×C3714yescomplemented
916#554C22×C3711yescharacteristic
917#554C22×C3714yes—
918#554C22×C3714yescomplemented
919#554C22×C3712yescomplemented
920#554C22×C3718yescomplemented
921#554C22×C3714yescomplemented
922#554C22×C3718yescomplemented
923#554C22×C3714yescomplemented
924#553C22×C3712yescomplemented
925#553C22×C3718yescomplemented
926#553C22×C3714yescomplemented
927#552C22×C3712yescomplemented
928#552C22×C3712yescomplemented
929#552C22×C3714yescomplemented
930#552C22×C3718yescomplemented
931#552C22×C3714yescomplemented
932#552C22×C3714yescomplemented
933#552C22×C3714yescomplemented
934#552C22×C3714yescomplemented
935#551C22×C3714yescomplemented
936#551C22×C3718yescomplemented
937#551C22×C3718yescomplemented
938#551C22×C3718yescomplemented
939#551C22×C3718yescomplemented
940#550C22×C3711yescharacteristic
941D4×Q8C22×C3712yes—
942D4×Q8C22×C3712yes—
943D4×Q8C22×C3711yescharacteristic
944D4×Q8C22×C3714yescomplemented
945D4×Q8C22×C3712yescomplemented
946D4×Q8C22×C3712yescomplemented
947D4×Q8C22×C3714yescomplemented
948D4×Q8C22×C3714yescomplemented
949D4×Q8C22×C3714yescomplemented
950D4×Q8C22×C3714yescomplemented
951D4×Q8C22×C3714yescomplemented
952D4×Q8C22×C3714yescomplemented
953D4×Q8C22×C3712yescomplemented
954D4×Q8C22×C3712yescomplemented
955#548C22×C3712yes—
956#548C22×C3714yescomplemented
957#548C22×C3714yescomplemented
958#548C22×C3714yescomplemented
959#548C22×C3714yescomplemented
960#548C22×C3714yescomplemented
961#547C22×C3712yes—
962#547C22×C3711yescharacteristic
963#547C22×C3711yescharacteristic
964#547C22×C3718yescomplemented
965#547C22×C3714yescomplemented
966#547C22×C3714yescomplemented
967#547C22×C3712yescomplemented
968#547C22×C3714yescomplemented
969#547C22×C3712yescomplemented
970#546C22×C3714yes—
971#546C22×C3712yes—
972#546C22×C3712yes—
973#546C22×C3714yes—
974#546C22×C3718yescomplemented
975#546C22×C3714yescomplemented
976D42C22×C3712yes—
977D42C22×C3711yescharacteristic
978#544C22×C3711yescharacteristic, complemented
979#544C22×C3714yescomplemented
980#544C22×C3718yescomplemented
981#544C22×C3714yescomplemented
982#544C22×C3718yescomplemented
983#543C22×C3718yescomplemented
984#542C22×C3712yescomplemented
985#542C22×C3712yescomplemented
986#542C22×C3714yescomplemented
987#542C22×C3714yescomplemented
988#542C22×C3714yescomplemented
989#542C22×C3714yescomplemented
990#542C22×C3718yescomplemented
991#542C22×C3718yescomplemented
992#542C22×C3718yescomplemented
993#541C22×C3712yescomplemented
994#541C22×C3712yescomplemented
995#541C22×C3714yescomplemented
996#541C22×C3714yescomplemented
997#540C22×C3714yescomplemented
998#539C22×C3714yescomplemented
999#539C22×C3714yescomplemented
1000#539C22×C3718yescomplemented
1001#539C22×C3718yescomplemented
1002#539C22×C3718yescomplemented
1003#539C22×C3718yescomplemented
1004#538C22×C3718yescomplemented
1005#538C22×C3718yescomplemented
1006#537C22×C3711yescharacteristic
1007#537C22×C3714yescomplemented
1008#536C22×C3711yescharacteristic
1009#536C22×C3712yes—
1010#536C22×C3712yescomplemented
1011#536C22×C3712yescomplemented
1012#536C22×C3718yescomplemented
1013#536C22×C3714yescomplemented
1014#536C22×C3714yescomplemented
1015#536C22×C3714yescomplemented
1016#536C22×C3714yescomplemented
1017#536C22×C3711yescharacteristic, complemented
1018#536C22×C3718yescomplemented
1019#536C22×C3714yescomplemented
1020#536C22×C3714yescomplemented
1021#533C22×C3712yescomplemented
1022#533C22×C3712yescomplemented
1023#533C22×C3711yescharacteristic, complemented
1024#533C22×C3714yescomplemented
1025#533C22×C3712yescomplemented
1026#533C22×C3712yescomplemented
1027#532C22×C3711yescharacteristic
1028#532C22×C3712yes—
1029#532C22×C3712yescomplemented
1030C2×C4⋊Q8C22×C3714yescomplemented
1031C2×C4⋊Q8C22×C3711yescharacteristic, complemented
1032C2×C4⋊Q8C22×C3712yescomplemented
1033C2×C4⋊Q8C22×C3712yescomplemented
1034#529C22×C3714yescomplemented
1035#529C22×C3712yescomplemented
1036#529C22×C3712yescomplemented
1037#529C22×C3712yescomplemented
1038#529C22×C3714yescomplemented
1039#529C22×C3714yescomplemented
1040#529C22×C3714yescomplemented
1041C2×#124C22×C3714yescomplemented
1042#525C22×C3712yes—
1043#525C22×C3714yes—
1044#525C22×C3712yescomplemented
1045#525C22×C3718yescomplemented
1046#525C22×C3714yescomplemented
1047C2×#123C22×C3718yescomplemented
1048C2×C22⋊Q8C22×C3714yescomplemented
1049C2×C22⋊Q8C22×C3714yescomplemented
1050C2×C22⋊Q8C22×C3712yescomplemented
1051C2×C22⋊Q8C22×C3714yescomplemented
1052C2×C22⋊Q8C22×C3714yescomplemented
1053#520C22×C3714yes—
1054#520C22×C3712yescomplemented
1055#519C22×C3712yescomplemented
1056#518C22×C3714yes—
1057C4×#41C22×C3711yescharacteristic
1058C4×#41C22×C3712yes—
1059C4×#41C22×C3711yescharacteristic, complemented
1060C2×C4×Q8C22×C3711yescharacteristic, complemented
1061C2×C4×D4C22×C3711yescharacteristic
1062C2×C4×D4C22×C3712yes—
1063C2×C4×D4C22×C3712yes—
1064C2×#117C22×C3712yescomplemented
1065C37#6294211yescharacteristic, direct product factor, Sylow
10662−1+4—48no—
1067C2×#41—48no—
1068C2×#41C23×C3712yes—
1069C2×#41C23×C3711yescharacteristic
1070C2×#41C23×C3711yescharacteristic
1071C2×#41C23×C3712yes—
1072C2×#41C23×C3714yes—
1073C2×#41C23×C3718yes—
1074C2×#41C23×C3714yes—
1075C2×#41C23×C3714yes—
1076C2×#41C23×C3714yes—
1077C2×#41C23×C3712yes—
1078C2×#41C23×C3712yes—
1079C22×Q8—48no—
1080C22×Q8C23×C3711yescharacteristic
1081C22×Q8C23×C3712yes—
1082C22×Q8C23×C3714yes—
1083C22×Q8C23×C3714yes—
1084C22×Q8C23×C3714yes—
1085C22×Q8C23×C3714yes—
1086C22×Q8C23×C3712yes—
1087C22×Q8C23×C3714yes—
1088C22×Q8C23×C3714yes—
1089C22×Q8C23×C3714yes—
1090C22×D4C23×C3711yescharacteristic
1091C22×D4C23×C3712yes—
1092C22×D4C23×C3714yes—
1093C22×D4C23×C3712yes—
1094C23×C4C23×C3712yes—
1095C23×C4C23×C3714yes—
1096C23×C4C23×C3714yes—
1097C4⋊Q8C23×C3711yescharacteristic
1098C4⋊Q8C23×C3712yes—
1099C4⋊Q8C23×C3712yes—
1100C4⋊Q8C23×C3714yes—
1101C4⋊Q8C23×C3712yes—
1102C4⋊Q8C23×C3714yes—
1103C4⋊Q8C23×C3718yes—
1104C4⋊Q8C23×C3714yes—
1105C4⋊Q8C23×C3712yes—
1106C4⋊Q8C23×C3718yes—
1107C4⋊Q8C23×C3712yes—
1108C4⋊Q8C23×C3714yes—
1109C4⋊Q8C23×C3714yes—
1110C4⋊Q8C23×C3714yes—
1111C4⋊Q8C23×C3718yes—
1112C4⋊Q8C23×C3714yes—
1113C4⋊Q8C23×C3712yes—
1114C4⋊Q8C23×C3712yes—
1115C4⋊Q8C23×C3711yescharacteristic
1116C4⋊Q8C23×C3711yescharacteristic
1117C4⋊Q8C23×C3712yes—
1118C4⋊Q8C23×C3712yes—
1119C4⋊Q8C23×C3718yes—
1120C4⋊Q8C23×C3718yes—
1121C4⋊Q8C23×C3718yes—
1122#127C23×C3711yescharacteristic
1123#127C23×C3712yes—
1124#126C23×C3718yes—
1125#126C23×C3718yes—
1126#126C23×C3714yes—
1127#126C23×C3714yes—
1128#126C23×C3714yes—
1129#126C23×C3714yes—
1130#126C23×C3714yes—
1131#126C23×C3714yes—
1132#126C23×C3714yes—
1133#126C23×C3718yes—
1134#126C23×C3718yes—
1135#126C23×C3718yes—
1136#126C23×C3718yes—
1137#126C23×C3718yes—
1138#126C23×C3718yes—
1139#125C23×C3712yes—
1140#125C23×C3714yes—
1141#125C23×C3712yes—
1142#125C23×C3714yes—
1143#125C23×C3712yes—
1144#125C23×C3714yes—
1145#125C23×C3714yes—
1146#125C23×C3714yes—
1147#125C23×C3714yes—
1148#125C23×C3714yes—
1149#125C23×C3712yes—
1150#125C23×C3718yes—
1151#125C23×C3718yes—
1152#125C23×C3718yes—
1153#125C23×C3718yes—
1154#125C23×C3718yes—
1155#125C23×C3718yes—
1156#124C23×C3712yes—
1157#124C23×C3714yes—
1158#124C23×C3714yes—
1159#124C23×C3718yes—
1160#124C23×C3714yes—
1161#124C23×C3718yes—
1162#124C23×C3712yes—
1163#124C23×C3714yes—
1164#124C23×C3712yes—
1165#124C23×C3714yes—
1166#124C23×C3714yes—
1167#124C23×C3712yes—
1168#124C23×C3714yes—
1169#124C23×C3718yes—
1170#124C23×C3718yes—
1171#124C23×C3718yes—
1172#124C23×C3718yes—
1173#123C23×C3714yes—
1174#123C23×C3718yes—
1175#123C23×C3718yes—
1176#123C23×C3718yes—
1177#123C23×C3718yes—
1178#123C23×C3718yes—
1179#123C23×C3718yes—
1180#123C23×C3718yes—
1181#123C23×C3714yes—
1182#123C23×C3714yes—
1183#123C23×C3714yes—
1184#123C23×C3714yes—
1185#123C23×C3714yes—
1186#123C23×C3718yes—
1187#123C23×C3714yes—
1188#123C23×C3714yes—
1189#123C23×C3718yes—
1190#123C23×C3714yes—
1191#123C23×C3714yes—
1192#123C23×C3714yes—
1193#123C23×C3718yes—
1194#123C23×C3718yes—
1195#123C23×C3718yes—
1196#123C23×C3718yes—
1197#123C23×C3718yes—
1198#123C23×C3718yes—
1199C22⋊Q8C23×C3714yes—
1200C22⋊Q8C23×C3712yes—
1201C22⋊Q8C23×C3712yes—
1202C22⋊Q8C23×C3712yes—
1203C22⋊Q8C23×C3714yes—
1204C22⋊Q8C23×C3712yes—
1205C22⋊Q8C23×C3714yes—
1206C22⋊Q8C23×C3714yes—
1207C22⋊Q8C23×C3718yes—
1208C22⋊Q8C23×C3718yes—
1209C22⋊Q8C23×C3714yes—
1210C22⋊Q8C23×C3714yes—
1211C22⋊Q8C23×C3714yes—
1212C22⋊Q8C23×C3714yes—
1213C22⋊Q8C23×C3718yes—
1214C22⋊Q8C23×C3718yes—
1215C22⋊Q8C23×C3714yes—
1216C22⋊Q8C23×C3718yes—
1217C22⋊Q8C23×C3718yes—
1218C22⋊Q8C23×C3718yes—
1219C22⋊Q8C23×C3718yes—
1220C22⋊Q8C23×C3714yes—
1221C22⋊Q8C23×C3718yes—
1222C22⋊Q8C23×C3718yes—
1223C22⋊Q8C23×C3712yes—
1224C22⋊Q8C23×C3712yes—
1225C22⋊Q8C23×C3714yes—
1226C22⋊Q8C23×C3714yes—
1227C22⋊Q8C23×C3712yes—
1228C22⋊Q8C23×C3718yes—
1229C22⋊Q8C23×C3718yes—
1230C22⋊Q8C23×C3712yes—
1231C22⋊Q8C23×C3712yes—
1232C22⋊Q8C23×C3714yes—
1233C22⋊Q8C23×C3712yes—
1234C22⋊Q8C23×C3714yes—
1235C22⋊Q8C23×C3712yes—
1236C22⋊Q8C23×C3712yes—
1237C22⋊Q8C23×C3718yes—
1238C22⋊Q8C23×C3712yes—
1239C22⋊Q8C23×C3714yes—
1240C22⋊Q8C23×C3714yes—
1241C22⋊Q8C23×C3714yes—
1242C22⋊Q8C23×C3714yes—
1243C22⋊Q8C23×C3718yes—
1244C22⋊Q8C23×C3718yes—
1245C22⋊Q8C23×C3718yes—
1246C22⋊Q8C23×C3718yes—
1247C22⋊Q8C23×C3718yes—
1248C22⋊Q8C23×C3718yes—
1249C22⋊Q8C23×C3718yes—
1250C22⋊Q8C23×C3718yes—
1251C22⋊Q8C23×C3718yes—
1252#121C23×C3712yes—
1253#121C23×C3714yes—
1254#121C23×C3714yes—
1255#121C23×C3712yes—
1256#121C23×C3712yes—
1257#121C23×C3712yes—
1258#121C23×C3712yes—
1259#121C23×C3718yes—
1260#121C23×C3718yes—
1261#121C23×C3712yes—
1262#121C23×C3714yes—
1263#121C23×C3712yes—
1264#121C23×C3714yes—
1265#121C23×C3712yes—
1266#121C23×C3712yes—
1267#121C23×C3712yes—
1268#121C23×C3712yes—
1269#121C23×C3714yes—
1270#121C23×C3714yes—
1271#121C23×C3714yes—
1272#121C23×C3718yes—
1273#121C23×C3718yes—
1274#121C23×C3718yes—
1275#120C23×C3714yes—
1276#120C23×C3714yes—
1277#120C23×C3714yes—
1278#120C23×C3714yes—
1279#120C23×C3718yes—
1280C4×Q8C23×C3712yes—
1281C4×Q8C23×C3712yes—
1282C4×Q8C23×C3712yes—
1283C4×Q8C23×C3712yes—
1284C4×Q8C23×C3712yes—
1285C4×Q8C23×C3711yescharacteristic
1286C4×Q8C23×C3711yescharacteristic
1287C4×Q8C23×C3712yes—
1288C4×Q8C23×C3711yescharacteristic
1289C4×Q8C23×C3711yescharacteristic
1290C4×Q8C23×C3714yes—
1291C4×Q8C23×C3714yes—
1292C4×Q8C23×C3714yes—
1293C4×Q8C23×C3714yes—
1294C4×Q8C23×C3714yes—
1295C4×Q8C23×C3714yes—
1296C4×Q8C23×C3714yes—
1297C4×Q8C23×C3712yes—
1298C4×Q8C23×C3714yes—
1299C4×Q8C23×C3714yes—
1300C4×Q8C23×C3718yes—
1301C4×D4C23×C3711yescharacteristic
1302C4×D4C23×C3711yescharacteristic
1303C4×D4C23×C3714yes—
1304C4×D4C23×C3712yes—
1305C4×D4C23×C3714yes—
1306C4×D4C23×C3712yes—
1307C4×D4C23×C3712yes—
1308C4×D4C23×C3711yescharacteristic
1309C4×D4C23×C3712yes—
1310C4×D4C23×C3711yescharacteristic
1311C4×D4C23×C3718yes—
1312C4×D4C23×C3714yes—
1313C4×D4C23×C3714yes—
1314C4×D4C23×C3712yes—
1315C4×D4C23×C3712yes—
1316C4×D4C23×C3714yes—
1317C4×D4C23×C3712yes—
1318C4×D4C23×C3711yescharacteristic
1319C4×D4C23×C3714yes—
1320C4×D4C23×C3712yes—
1321C4×D4C23×C3711yescharacteristic
1322C4×D4C23×C3712yes—
1323C4×D4C23×C3711yescharacteristic
1324C4×D4C23×C3712yes—
1325C4×D4C23×C3711yescharacteristic
1326C4×D4C23×C3718yes—
1327C4×D4C23×C3718yes—
1328C4×D4C23×C3714yes—
1329C4×D4C23×C3714yes—
1330C4×D4C23×C3718yes—
1331C4×D4C23×C3718yes—
1332C4×D4C23×C3718yes—
1333C4×D4C23×C3714yes—
1334C4×D4C23×C3712yes—
1335C4×D4C23×C3714yes—
1336C4×D4C23×C3714yes—
1337C4×D4C23×C3718yes—
1338C4×D4C23×C3718yes—
1339C4×D4C23×C3718yes—
1340C4×D4C23×C3714yes—
1341C4×D4C23×C3714yes—
1342#117C23×C3711yescharacteristic
1343#117C23×C3712yes—
1344#117C23×C3714yes—
1345#117C23×C3714yes—
1346#117C23×C3712yes—
1347#117C23×C3712yes—
1348#117C23×C3711yescharacteristic
1349#117C23×C3712yes—
1350#117C23×C3714yes—
1351#117C23×C3712yes—
1352#117C23×C3712yes—
1353#117C23×C3714yes—
1354#117C23×C3714yes—
1355#117C23×C3718yes—
1356#117C23×C3714yes—
1357#117C23×C3718yes—
1358#117C23×C3714yes—
1359#117C23×C3718yes—
1360#117C23×C3718yes—
1361#117C23×C3714yes—
1362C2×C4⋊C4C23×C3712yes—
1363C2×C4⋊C4C23×C3712yes—
1364C2×C4⋊C4C23×C3711yescharacteristic
1365C2×C4⋊C4C23×C3712yes—
1366C2×C4⋊C4C23×C3712yes—
1367C2×C4⋊C4C23×C3711yescharacteristic
1368C2×C4⋊C4C23×C3712yes—
1369C2×C4⋊C4C23×C3718yes—
1370C2×C4⋊C4C23×C3714yes—
1371C2×C4⋊C4C23×C3714yes—
1372C2×C4⋊C4C23×C3712yes—
1373C2×C4⋊C4C23×C3714yes—
1374C2×C4⋊C4C23×C3718yes—
1375C2×C4⋊C4C23×C3718yes—
1376C2×C4⋊C4C23×C3714yes—
1377C2×C22⋊C4C23×C3714yes—
1378C2×C22⋊C4C23×C3712yes—
1379C2×C22⋊C4C23×C3714yes—
1380C2×C22⋊C4C23×C3714yes—
1381C2×C22⋊C4C23×C3718yes—
1382C2×C22⋊C4C23×C3718yes—
1383C2×C22⋊C4C23×C3718yes—
1384C2×C42C23×C3714yes—
1385C2×C42C23×C3711yescharacteristic
1386C2×C42C23×C3712yes—
1387C2×C42C23×C3712yes—
1388C2×C42C23×C3712yes—
1389C24C24×C3712yes—
1390C24C24×C3714yes—
1391#41—28no—
1392#41—24no—
1393#41—28no—
1394#41—24no—
1395#41—48no—
1396#41—48no—
1397#41—416no—
1398#41—44no—
1399#41—44no—
1400#41—48no—
1401#41—48no—
1402C2×Q8—24no—
1403C2×Q8—28no—
1404C2×Q8—48no—
1405C2×Q8—48no—
1406C2×Q8—48no—
1407C2×Q8—48no—
1408C2×Q8—48no—
1409C2×Q8—44no—
1410C2×Q8—48no—
1411C2×Q8—48no—
1412C2×Q8C24×C3712yes—
1413C2×Q8C24×C3712yes—
1414C2×Q8C24×C3714yes—
1415C2×Q8C24×C3711yescharacteristic
1416C2×Q8C24×C3712yes—
1417C2×Q8C24×C3714yes—
1418C2×Q8C24×C3712yes—
1419C2×Q8C24×C3711yescharacteristic
1420C2×Q8C24×C3712yes—
1421C2×Q8C24×C3714yes—
1422C2×Q8C24×C3718yes—
1423C2×Q8C24×C3718yes—
1424C2×Q8C24×C3718yes—
1425C2×Q8C24×C3714yes—
1426C2×D4—24no—
1427C2×D4—28no—
1428C2×D4—44no—
1429C2×D4—48no—
1430C2×D4C24×C3714yes—
1431C2×D4C24×C3714yes—
1432C2×D4C24×C3712yes—
1433C2×D4C24×C3711yescharacteristic
1434C2×D4C24×C3712yes—
1435C2×D4C24×C3712yes—
1436C2×D4C24×C3714yes—
1437C2×D4C24×C3711yescharacteristic
1438C2×D4C24×C3712yes—
1439C2×D4C24×C3711yescharacteristic
1440C2×D4C24×C3712yes—
1441C2×D4C24×C3714yes—
1442C2×D4C24×C3712yes—
1443C2×D4C24×C3714yes—
1444C2×D4C24×C3714yes—
1445C2×D4C24×C3718yes—
1446C2×D4C24×C3714yes—
1447C2×D4C24×C3714yes—
1448C2×D4C24×C3714yes—
1449C2×D4C24×C3711yescharacteristic
1450C22×C4—28no—
1451C22×C4—48no—
1452C22×C4—48no—
1453C22×C4C24×C3711yescharacteristic
1454C22×C4C24×C3712yes—
1455C22×C4C24×C3714yes—
1456C22×C4C24×C3712yes—
1457C22×C4C24×C3712yes—
1458C22×C4C24×C3712yes—
1459C22×C4C24×C3712yes—
1460C22×C4C24×C3712yes—
1461C22×C4C24×C3712yes—
1462C22×C4C24×C3714yes—
1463C22×C4C24×C3712yes—
1464C22×C4C24×C3714yes—
1465C22×C4C24×C3712yes—
1466C22×C4C24×C3712yes—
1467C22×C4C24×C3714yes—
1468C22×C4C24×C3711yescharacteristic
1469C22×C4C24×C3712yes—
1470C22×C4C24×C3712yes—
1471C22×C4C24×C3712yes—
1472C22×C4C24×C3718yes—
1473C22×C4C24×C3718yes—
1474C22×C4C24×C3718yes—
1475C22×C4C24×C3714yes—
1476C22×C4C24×C3714yes—
1477C22×C4C24×C3718yes—
1478C22×C4C24×C3714yes—
1479C22×C4C24×C3718yes—
1480C22×C4C24×C3711yescharacteristic
1481C4⋊C4C24×C3712yes—
1482C4⋊C4C24×C3712yes—
1483C4⋊C4C24×C3711yescharacteristic
1484C4⋊C4C24×C3712yes—
1485C4⋊C4C24×C3711yescharacteristic
1486C4⋊C4C24×C3711yescharacteristic
1487C4⋊C4C24×C3714yes—
1488C4⋊C4C24×C3714yes—
1489C4⋊C4C24×C3718yes—
1490C4⋊C4C24×C3714yes—
1491C4⋊C4C24×C3712yes—
1492C4⋊C4C24×C3718yes—
1493C4⋊C4C24×C3714yes—
1494C4⋊C4C24×C3718yes—
1495C4⋊C4C24×C3714yes—
1496C4⋊C4C24×C3714yes—
1497C4⋊C4C24×C3718yes—
1498C4⋊C4C24×C3712yes—
1499C4⋊C4C24×C3711yescharacteristic
1500C4⋊C4C24×C3714yes—
1501C4⋊C4C24×C3714yes—
1502C4⋊C4C24×C3718yes—
1503C4⋊C4C24×C3718yes—
1504C4⋊C4C24×C3714yes—
1505C4⋊C4C24×C3712yes—
1506C4⋊C4C24×C3714yes—
1507C4⋊C4C24×C3712yes—
1508C4⋊C4C24×C3714yes—
1509C4⋊C4C24×C3718yes—
1510C4⋊C4C24×C3718yes—
1511C4⋊C4C24×C3718yes—
1512C4⋊C4C24×C3714yes—
1513C4⋊C4C24×C3714yes—
1514C4⋊C4C24×C3712yes—
1515C4⋊C4C24×C3714yes—
1516C4⋊C4C24×C3714yes—
1517C4⋊C4C24×C3714yes—
1518C4⋊C4C24×C3712yes—
1519C4⋊C4C24×C3714yes—
1520C4⋊C4C24×C3714yes—
1521C4⋊C4C24×C3711yescharacteristic
1522C4⋊C4C24×C3711yescharacteristic
1523C4⋊C4C24×C3712yes—
1524C4⋊C4C24×C3712yes—
1525C4⋊C4C24×C3712yes—
1526C4⋊C4C24×C3712yes—
1527C4⋊C4C24×C3714yes—
1528C4⋊C4C24×C3714yes—
1529C4⋊C4C24×C3718yes—
1530C4⋊C4C24×C3718yes—
1531C4⋊C4C24×C3714yes—
1532C4⋊C4C24×C3714yes—
1533C22⋊C4C24×C3712yes—
1534C22⋊C4C24×C3712yes—
1535C22⋊C4C24×C3718yes—
1536C22⋊C4C24×C3714yes—
1537C22⋊C4C24×C3718yes—
1538C22⋊C4C24×C3714yes—
1539C22⋊C4C24×C3714yes—
1540C22⋊C4C24×C3714yes—
1541C22⋊C4C24×C3714yes—
1542C22⋊C4C24×C3714yes—
1543C22⋊C4C24×C3712yes—
1544C22⋊C4C24×C3714yes—
1545C22⋊C4C24×C3714yes—
1546C22⋊C4C24×C3718yes—
1547C22⋊C4C24×C3718yes—
1548C22⋊C4C24×C3718yes—
1549C22⋊C4C24×C3712yes—
1550C22⋊C4C24×C3714yes—
1551C22⋊C4C24×C3714yes—
1552C22⋊C4C24×C3718yes—
1553C22⋊C4C24×C3712yes—
1554C22⋊C4C24×C3718yes—
1555C22⋊C4C24×C3718yes—
1556C22⋊C4C24×C3712yes—
1557C22⋊C4C24×C3714yes—
1558C22⋊C4C24×C3714yes—
1559C22⋊C4C24×C3712yes—
1560C22⋊C4C24×C3712yes—
1561C22⋊C4C24×C3718yes—
1562C22⋊C4C24×C3714yes—
1563C22⋊C4C24×C3714yes—
1564C22⋊C4C24×C3714yes—
1565C22⋊C4C24×C3712yes—
1566C22⋊C4C24×C3712yes—
1567C22⋊C4C24×C3714yes—
1568C22⋊C4C24×C3714yes—
1569C22⋊C4C24×C3714yes—
1570C22⋊C4C24×C3714yes—
1571C42C24×C3712yes—
1572C42C24×C3711yescharacteristic
1573C42C24×C3711yescharacteristic
1574C42C24×C3714yes—
1575C42C24×C3711yescharacteristic
1576C42C24×C3712yes—
1577C42C24×C3712yes—
1578C42C24×C3714yes—
1579C42C24×C3714yes—
1580C42C24×C3711yescharacteristic
1581C42C24×C3712yes—
1582C42C24×C3712yes—
1583C42C24×C3714yes—
1584C42C24×C3714yes—
1585C42C24×C3712yes—
1586C42C24×C3718yes—
1587C42C24×C3718yes—
1588C42C24×C3718yes—
1589C23—24no—
1590C23—24no—
1591C23—28no—
1592C23—42no—
1593C23—44no—
1594C23—44no—
1595C23C25×C3712yes—
1596C23C25×C3712yes—
1597C23C25×C3714yes—
1598C23C25×C3712yes—
1599C23C25×C3711yescharacteristic
1600C23C25×C3712yes—
1601Q8—24no—
1602Q8—24no—
1603Q8—28no—
1604Q8—28no—
1605Q8—22no—
1606Q8—24no—
1607Q8—22no—
1608Q8—24no—
1609Q8—48no—
1610Q8—48no—
1611Q8—48no—
1612Q8—44no—
1613Q8—42no—
1614Q8—44no—
1615D4—24no—
1616D4—28no—
1617D4—24no—
1618D4—24no—
1619D4—28no—
1620D4—28no—
1621D4—22no—
1622D4—24no—
1623D4—22no—
1624D4—22no—
1625D4—24no—
1626D4—44no—
1627D4—44no—
1628D4—44no—
1629D4—48no—
1630D4—42no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D42−1+4×C3714yescomplemented
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—28no—
1638C2×C4—28no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—28no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—48no—
1656C2×C4—41no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—42no—
1662C2×C4H(5,𝔽2)×C3714yes—
1663C2×C4C25×C3714yes—
1664C2×C4C25×C3711yescharacteristic
1665C2×C4C25×C3712yes—
1666C2×C4C25×C3712yes—
1667C2×C4C25×C3712yes—
1668C2×C4C25×C3712yes—
1669C2×C4C25×C3711yescharacteristic
1670C2×C4C25×C3714yes—
1671C2×C4C25×C3714yes—
1672C2×C4C25×C3711yescharacteristic
1673C2×C4C25×C3712yes—
1674C2×C4C25×C3714yes—
1675C2×C4C25×C3712yes—
1676C2×C4C25×C3718yes—
1677C2×C4C25×C3714yes—
1678C2×C4C25×C3712yes—
1679C2×C4C25×C3712yes—
1680C2×C4C25×C3711yescharacteristic
1681C2×C4C25×C3711yescharacteristic
1682C2×C4C25×C3711yescharacteristic
1683C22—22no—
1684C22—21no—
1685C22—21no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—24no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—24no—
1695C22—24no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—48no—
1700C22—88no—
1701C22C2×H(5,𝔽2)×C3712yes—
1702C22C2×2−1+4×C3714yes—
1703C22C26×C3711yescharacteristic
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—24no—
1708C4—22no—
1709C4—28no—
1710C4—24no—
1711C4—22no—
1712C4—21no—
1713C4—22no—
1714C4—24no—
1715C4—21no—
1716C4—24no—
1717C4—24no—
1718C4—21no—
1719C4—22no—
1720C4—22no—
1721C4C2×H(5,𝔽2)×C3712yes—
1722C4C2×H(5,𝔽2)×C3712yes—
1723C4C2×2−1+4×C3712yes—
1724C2—22no—
1725C2—24no—
1726C2—42no—
1727C2—42no—
1728C2—44no—
1729C2—42no—
1730C2C22×H(5,𝔽2)×C3711yescharacteristic
1731C2C22×2−1+4×C3711yescharacteristic
1732C2C37×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C37C26
commutator, Frattini, cosocleC22C26×C37
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3561C2semidirect
2. C37×#3554C2semidirect
3. C37×#3552C2semidirect
4. C37×#3552C2semidirect
5. C37×#3550C2semidirect
6. C37×#3547C2semidirect
7. C37×#3544C2semidirect
8. C37×#3541C2semidirect
9. C37×#3538C2semidirect
10. C37×#3535C2semidirect
11. C37×#3520C2semidirect
12. C37×#3514C2semidirect
13. C37×#3513C2semidirect
14. C37×#3509C2semidirect
15. C37×#3507C2semidirect
16. C37×#3503C2semidirect
17. C37×#3501C2semidirect
18. C37×#3499C2semidirect
19. C37×#3495C2semidirect
20. C37×#3489C2semidirect
21. C37×#3486C2semidirect
22. C37×#3475C2semidirect
23. D4×#41×C37C2semidirect
24. C2×D4×Q8×C37C2semidirect
25. C37×#3461C2semidirect
26. C2×C37×#536C2semidirect
27. C2×2−1+4×C37C22semidirect
29. C23×Q8×C37C22semidirect
30. C37×#563C22semidirect
31. C37×#563C22semidirect
32. C37×#563C22semidirect
33. C37×#563C22semidirect
34. C37×#562C22semidirect
35. C37×#562C22semidirect
36. C37×#559C22semidirect
37. C37×#559C22semidirect
38. Q82×C37C22semidirect
39. C37×#557C22semidirect
40. C37×#557C22semidirect
41. C37×#557C22semidirect
42. C37×#556C22semidirect
43. C37×#556C22semidirect
44. C37×#556C22semidirect
45. C37×#556C22semidirect
46. C37×#556C22semidirect
47. C37×#556C22semidirect
48. C37×#555C22semidirect
49. C37×#555C22semidirect
52. C37×#554C22semidirect
53. C37×#554C22semidirect
54. C37×#554C22semidirect
55. C37×#554C22semidirect
56. C37×#554C22semidirect
57. C37×#554C22semidirect
58. C37×#553C22semidirect
59. C37×#553C22semidirect
60. C37×#553C22semidirect
61. C37×#552C22semidirect
62. C37×#552C22semidirect
63. C37×#552C22semidirect
64. C37×#552C22semidirect
65. C37×#552C22semidirect
66. C37×#552C22semidirect
67. C37×#552C22semidirect
68. C37×#552C22semidirect
69. C37×#551C22semidirect
70. C37×#551C22semidirect
71. C37×#551C22semidirect
72. C37×#551C22semidirect
73. C37×#551C22semidirect
78. D4×Q8×C37C22semidirect
79. D4×Q8×C37C22semidirect
80. D4×Q8×C37C22semidirect
81. D4×Q8×C37C22semidirect
82. D4×Q8×C37C22semidirect
83. D4×Q8×C37C22semidirect
84. D4×Q8×C37C22semidirect
85. D4×Q8×C37C22semidirect
86. D4×Q8×C37C22semidirect
87. D4×Q8×C37C22semidirect
88. D4×Q8×C37C22semidirect
90. C37×#548C22semidirect
91. C37×#548C22semidirect
92. C37×#548C22semidirect
93. C37×#548C22semidirect
94. C37×#548C22semidirect
98. C37×#547C22semidirect
99. C37×#547C22semidirect
100. C37×#547C22semidirect
101. C37×#547C22semidirect
102. C37×#547C22semidirect
103. C37×#547C22semidirect
108. C37×#546C22semidirect
109. C37×#546C22semidirect
112. C37×#544C22semidirect
113. C37×#544C22semidirect
114. C37×#544C22semidirect
115. C37×#544C22semidirect
116. C37×#544C22semidirect
117. C37×#543C22semidirect
118. C37×#542C22semidirect
119. C37×#542C22semidirect
120. C37×#542C22semidirect
121. C37×#542C22semidirect
122. C37×#542C22semidirect
123. C37×#542C22semidirect
124. C37×#542C22semidirect
125. C37×#542C22semidirect
126. C37×#542C22semidirect
127. C37×#541C22semidirect
128. C37×#541C22semidirect
129. C37×#541C22semidirect
130. C37×#541C22semidirect
131. C37×#540C22semidirect
132. C37×#539C22semidirect
133. C37×#539C22semidirect
134. C37×#539C22semidirect
135. C37×#539C22semidirect
136. C37×#539C22semidirect
137. C37×#539C22semidirect
138. C37×#538C22semidirect
139. C37×#538C22semidirect
141. C37×#537C22semidirect
144. C37×#536C22semidirect
145. C37×#536C22semidirect
146. C37×#536C22semidirect
147. C37×#536C22semidirect
148. C37×#536C22semidirect
149. C37×#536C22semidirect
150. C37×#536C22semidirect
151. C37×#536C22semidirect
152. C37×#536C22semidirect
153. C37×#536C22semidirect
154. C37×#536C22semidirect
155. C37×#533C22semidirect
156. C37×#533C22semidirect
157. C37×#533C22semidirect
158. C37×#533C22semidirect
159. C37×#533C22semidirect
160. C37×#533C22semidirect
163. C37×#532C22semidirect
164. C2×C4⋊Q8×C37C22semidirect
165. C2×C4⋊Q8×C37C22semidirect
166. C2×C4⋊Q8×C37C22semidirect
167. C2×C4⋊Q8×C37C22semidirect
168. C37×#529C22semidirect
169. C37×#529C22semidirect
170. C37×#529C22semidirect
171. C37×#529C22semidirect
172. C37×#529C22semidirect
173. C37×#529C22semidirect
174. C37×#529C22semidirect
175. C2×#124×C37C22semidirect
178. C37×#525C22semidirect
179. C37×#525C22semidirect
180. C37×#525C22semidirect
181. C2×#123×C37C22semidirect
182. C2×C22⋊Q8×C37C22semidirect
183. C2×C22⋊Q8×C37C22semidirect
184. C2×C22⋊Q8×C37C22semidirect
185. C2×C22⋊Q8×C37C22semidirect
186. C2×C22⋊Q8×C37C22semidirect
188. C37×#520C22semidirect
189. C37×#519C22semidirect
193. C4×#41×C37C22semidirect
194. C2×C4×Q8×C37C22semidirect
198. C2×#117×C37C22semidirect
767. D4×C372−1+4semidirect
816. #62942C37direct (N × H)
858. #3561C2×C37semidirect
859. #3554C2×C37semidirect
860. #3552C2×C37semidirect
861. #3552C2×C37semidirect
862. #3550C2×C37semidirect
863. #3547C2×C37semidirect
864. #3544C2×C37semidirect
865. #3541C2×C37semidirect
866. #3538C2×C37semidirect
867. #3535C2×C37semidirect
868. #3520C2×C37semidirect
869. #3514C2×C37semidirect
870. #3513C2×C37semidirect
871. #3509C2×C37semidirect
872. #3507C2×C37semidirect
873. #3503C2×C37semidirect
874. #3501C2×C37semidirect
875. #3499C2×C37semidirect
876. #3495C2×C37semidirect
877. #3489C2×C37semidirect
878. #3486C2×C37semidirect
879. #3475C2×C37semidirect
880. D4×#41C2×C37semidirect
881. C2×D4×Q8C2×C37semidirect
882. #3461C2×C37semidirect
883. C2×#536C2×C37semidirect
893. C2×2−1+4C22×C37semidirect
895. C23×Q8C22×C37semidirect
896. #563C22×C37semidirect
897. #563C22×C37semidirect
898. #563C22×C37semidirect
899. #563C22×C37semidirect
900. #562C22×C37semidirect
901. #562C22×C37semidirect
902. #559C22×C37semidirect
903. #559C22×C37semidirect
904. Q82C22×C37semidirect
905. #557C22×C37semidirect
906. #557C22×C37semidirect
907. #557C22×C37semidirect
908. #556C22×C37semidirect
909. #556C22×C37semidirect
910. #556C22×C37semidirect
911. #556C22×C37semidirect
912. #556C22×C37semidirect
913. #556C22×C37semidirect
914. #555C22×C37semidirect
915. #555C22×C37semidirect
918. #554C22×C37semidirect
919. #554C22×C37semidirect
920. #554C22×C37semidirect
921. #554C22×C37semidirect
922. #554C22×C37semidirect
923. #554C22×C37semidirect
924. #553C22×C37semidirect
925. #553C22×C37semidirect
926. #553C22×C37semidirect
927. #552C22×C37semidirect
928. #552C22×C37semidirect
929. #552C22×C37semidirect
930. #552C22×C37semidirect
931. #552C22×C37semidirect
932. #552C22×C37semidirect
933. #552C22×C37semidirect
934. #552C22×C37semidirect
935. #551C22×C37semidirect
936. #551C22×C37semidirect
937. #551C22×C37semidirect
938. #551C22×C37semidirect
939. #551C22×C37semidirect
944. D4×Q8C22×C37semidirect
945. D4×Q8C22×C37semidirect
946. D4×Q8C22×C37semidirect
947. D4×Q8C22×C37semidirect
948. D4×Q8C22×C37semidirect
949. D4×Q8C22×C37semidirect
950. D4×Q8C22×C37semidirect
951. D4×Q8C22×C37semidirect
952. D4×Q8C22×C37semidirect
953. D4×Q8C22×C37semidirect
954. D4×Q8C22×C37semidirect
956. #548C22×C37semidirect
957. #548C22×C37semidirect
958. #548C22×C37semidirect
959. #548C22×C37semidirect
960. #548C22×C37semidirect
964. #547C22×C37semidirect
965. #547C22×C37semidirect
966. #547C22×C37semidirect
967. #547C22×C37semidirect
968. #547C22×C37semidirect
969. #547C22×C37semidirect
974. #546C22×C37semidirect
975. #546C22×C37semidirect
978. #544C22×C37semidirect
979. #544C22×C37semidirect
980. #544C22×C37semidirect
981. #544C22×C37semidirect
982. #544C22×C37semidirect
983. #543C22×C37semidirect
984. #542C22×C37semidirect
985. #542C22×C37semidirect
986. #542C22×C37semidirect
987. #542C22×C37semidirect
988. #542C22×C37semidirect
989. #542C22×C37semidirect
990. #542C22×C37semidirect
991. #542C22×C37semidirect
992. #542C22×C37semidirect
993. #541C22×C37semidirect
994. #541C22×C37semidirect
995. #541C22×C37semidirect
996. #541C22×C37semidirect
997. #540C22×C37semidirect
998. #539C22×C37semidirect
999. #539C22×C37semidirect
1000. #539C22×C37semidirect
1001. #539C22×C37semidirect
1002. #539C22×C37semidirect
1003. #539C22×C37semidirect
1004. #538C22×C37semidirect
1005. #538C22×C37semidirect
1007. #537C22×C37semidirect
1010. #536C22×C37semidirect
1011. #536C22×C37semidirect
1012. #536C22×C37semidirect
1013. #536C22×C37semidirect
1014. #536C22×C37semidirect
1015. #536C22×C37semidirect
1016. #536C22×C37semidirect
1017. #536C22×C37semidirect
1018. #536C22×C37semidirect
1019. #536C22×C37semidirect
1020. #536C22×C37semidirect
1021. #533C22×C37semidirect
1022. #533C22×C37semidirect
1023. #533C22×C37semidirect
1024. #533C22×C37semidirect
1025. #533C22×C37semidirect
1026. #533C22×C37semidirect
1029. #532C22×C37semidirect
1030. C2×C4⋊Q8C22×C37semidirect
1031. C2×C4⋊Q8C22×C37semidirect
1032. C2×C4⋊Q8C22×C37semidirect
1033. C2×C4⋊Q8C22×C37semidirect
1034. #529C22×C37semidirect
1035. #529C22×C37semidirect
1036. #529C22×C37semidirect
1037. #529C22×C37semidirect
1038. #529C22×C37semidirect
1039. #529C22×C37semidirect
1040. #529C22×C37semidirect
1041. C2×#124C22×C37semidirect
1044. #525C22×C37semidirect
1045. #525C22×C37semidirect
1046. #525C22×C37semidirect
1047. C2×#123C22×C37semidirect
1048. C2×C22⋊Q8C22×C37semidirect
1049. C2×C22⋊Q8C22×C37semidirect
1050. C2×C22⋊Q8C22×C37semidirect
1051. C2×C22⋊Q8C22×C37semidirect
1052. C2×C22⋊Q8C22×C37semidirect
1054. #520C22×C37semidirect
1055. #519C22×C37semidirect
1059. C4×#41C22×C37semidirect
1060. C2×C4×Q8C22×C37semidirect
1064. C2×#117C22×C37semidirect
1065. C37#62942direct (N × H)
1634. D42−1+4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35612
C37×#35542
C37×#35522
C37×#35502
C37×#35472
C37×#35442
C37×#35412
C37×#35382
C37×#35352
C37×#35202
C37×#35142
C37×#35132
C37×#35092
C37×#35072
C37×#35032
C37×#35012
C37×#34992
C37×#34952
C37×#34892
C37×#34862
C37×#34752
D4×#41×C372
C2×D4×Q8×C372
C37×#34612
C2×C37×#5362
#6294237