Finite Group Databasebeta

← C37×#62956 #22684209

Subgroups — C37×#62956 #22684209

Order 9472.

6346 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3565C214yesmaximal, complemented
2C37×#3563C214yesmaximal, complemented
3C37×#3557C214yesmaximal, complemented
4C37×#3556C212yesmaximal, complemented
5C37×#3555C212yesmaximal, complemented
6C37×#3555C214yesmaximal, complemented
7C37×#3554C212yesmaximal, complemented
8C37×#3553C218yesmaximal, complemented
9C37×#3552C212yesmaximal, complemented
10C37×#3552C214yesmaximal, complemented
11C37×#3523C212yesmaximal, complemented
12C37×#3516C214yesmaximal, complemented
13C37×#3515C212yesmaximal, complemented
14C37×#3512C212yesmaximal, complemented
15C37×#3511C211yesmaximal, characteristic, complemented
16C37×#3509C212yesmaximal, complemented
17C37×#3507C212yesmaximal, complemented
18C37×#3507C211yesmaximal, characteristic, complemented
19C37×#3507C212yesmaximal, complemented
20C37×#3504C212yesmaximal, complemented
21C37×#3503C211yesmaximal, characteristic, complemented
22C37×#3480C211yesmaximal, characteristic, complemented
23Q8×#41×C37C211yesmaximal, characteristic, complemented
24C2×C37×#557C211yesmaximal, characteristic, complemented
25C37×#3461C212yesmaximal, complemented
26C37×#3461C211yesmaximal, characteristic, complemented
27C37×#564C2218yes—
28C37×#563C2218yes—
29C37×#563C2218yes—
30C37×#563C2218yes—
31C37×#563C2218yes—
32C37×#562C2218yes—
33C37×#559C2211yescharacteristic
34C37×#559C2212yes—
35C37×#559C2212yes—
36C37×#559C2214yes—
37Q82×C37C2211yescharacteristic
38Q82×C37C2212yes—
39C37×#557C2212yes—
40C37×#557C2212yes—
41C37×#557C2212yes—
42C37×#557C2212yes—
43C37×#557C2214yes—
44C37×#557C2214yes—
45C37×#557C2211yescharacteristic
46C37×#557C2212yes—
47C37×#557C2211yescharacteristic
48C37×#557C2212yes—
49C37×#557C2214yes—
50C37×#557C2214yes—
51C37×#557C2212yes—
52C37×#557C2214yes—
53C37×#557C2214yes—
54C37×#557C2214yes—
55C37×#556C2211yescharacteristic
56C37×#556C2212yes—
57C37×#556C2214yes—
58C37×#556C2214yes—
59C37×#556C2212yes—
60C37×#556C2214yes—
61C37×#556C2214yes—
62C37×#556C2214yes—
63C37×#556C2214yes—
64C37×#556C2212yes—
65C37×#556C2218yes—
66C37×#555C2212yes—
67C37×#554C2211yescharacteristic
68C37×#554C2212yes—
69C37×#554C2214yes—
70C37×#554C2212yes—
71C37×#554C2214yes—
72C37×#554C2212yes—
73C37×#554C2214yes—
74C37×#554C2218yes—
75C37×#554C2218yes—
76C37×#554C2214yes—
77C37×#554C2212yes—
78C37×#554C2214yes—
79C37×#554C2212yes—
80C37×#553C2212yes—
81C37×#553C2214yes—
82C37×#553C2214yes—
83C37×#553C2214yes—
84C37×#553C2218yes—
85C37×#553C2218yes—
86C37×#553C2214yes—
87C37×#552C2214yes—
88C37×#552C2214yes—
89C37×#552C2218yes—
90C37×#552C2214yes—
91C37×#552C2214yes—
92C37×#552C2218yes—
93C37×#552C2214yes—
94C37×#552C2214yes—
95C37×#552C2218yes—
96C37×#552C2218yes—
97C37×#552C2218yes—
98C37×#550C2211yescharacteristic
99D4×Q8×C37C2211yescharacteristic
100D4×Q8×C37C2212yes—
101D4×Q8×C37C2214yes—
102D4×Q8×C37C2212yes—
103D4×Q8×C37C2214yes—
104C37×#548C2212yes—
105C37×#548C2214yes—
106C37×#548C2214yes—
107C37×#547C2212yes—
108C37×#547C2214yes—
109C37×#544C2212yes—
110C37×#544C2211yescharacteristic
111C37×#544C2214yes—
112C37×#544C2214yes—
113C37×#544C2214yes—
114C37×#544C2218yes—
115C37×#542C2214yes—
116C37×#542C2214yes—
117C37×#542C2212yes—
118C37×#542C2212yes—
119C37×#542C2214yes—
120C37×#542C2214yes—
121C37×#542C2218yes—
122C37×#542C2218yes—
123C37×#541C2212yes—
124C37×#541C2214yes—
125C37×#541C2214yes—
126C37×#541C2212yes—
127C37×#541C2218yes—
128C37×#541C2214yes—
129C37×#541C2214yes—
130C37×#541C2214yes—
131C37×#541C2218yes—
132C37×#541C2214yes—
133C37×#541C2218yes—
134C37×#541C2218yes—
135C37×#541C2218yes—
136C37×#540C2214yes—
137C37×#539C2218yes—
138C37×#539C2214yes—
139C37×#539C2218yes—
140C37×#539C2214yes—
141C37×#539C2218yes—
142C37×#539C2218yes—
143C37×#539C2218yes—
144C37×#539C2218yes—
145C37×#537C2212yes—
146C37×#537C2211yescharacteristic
147C37×#536C2211yescharacteristic
148C37×#536C2211yescharacteristic
149C37×#536C2212yes—
150C37×#536C2214yes—
151C37×#536C2214yes—
152C37×#533C2212yes—
153C37×#533C2212yes—
154C37×#533C2214yes—
155C37×#533C2214yes—
156C37×#533C2211yescharacteristic
157C37×#533C2212yes—
158C37×#533C2212yes—
159C37×#533C2214yes—
160C37×#533C2212yes—
161C37×#533C2214yes—
162C37×#533C2212yes—
163C37×#532C2211yescharacteristic
164C37×#532C2212yes—
165C37×#532C2212yes—
166C2×C4⋊Q8×C37C2211yescharacteristic
167C2×C4⋊Q8×C37C2212yes—
168C2×C4⋊Q8×C37C2212yes—
169C37×#529C2214yes—
170C37×#529C2212yes—
171C37×#529C2214yes—
172C37×#529C2214yes—
173C37×#529C2218yes—
174C37×#529C2212yes—
175C37×#529C2212yes—
176C37×#529C2214yes—
177C37×#529C2214yes—
178C37×#529C2214yes—
179C37×#529C2218yes—
180C37×#529C2214yes—
181C2×#125×C37C2212yes—
182C2×#125×C37C2214yes—
183C2×#125×C37C2214yes—
184C37×#520C2212yes—
185C37×#520C2212yes—
186C37×#520C2212yes—
187C37×#520C2214yes—
188C37×#519C2214yes—
189C4×#41×C37C2211yescharacteristic
190C4×#41×C37C2212yes—
191C4×#41×C37C2211yescharacteristic
192C4×#41×C37C2212yes—
193C4×#41×C37C2212yes—
194C2×C4×Q8×C37C2212yes—
195C2×C4×Q8×C37C2211yescharacteristic
196C2×C4×Q8×C37C2211yescharacteristic
197C2×C4×Q8×C37C2212yes—
198C2×C4×Q8×C37C2212yes—
199C2×#41×C37C2311yescharacteristic
200C2×#41×C37C2312yes—
201C2×#41×C37C2311yescharacteristic
202C2×#41×C37C2314yes—
203C2×#41×C37C2312yes—
204C22×Q8×C37C2311yescharacteristic
205C22×Q8×C37C2314yes—
206C22×Q8×C37C2311yescharacteristic
207C22×Q8×C37C2312yes—
208C22×Q8×C37C2312yes—
209C4⋊Q8×C37C2312yes—
210C4⋊Q8×C37C2311yescharacteristic
211C4⋊Q8×C37C2312yes—
212C4⋊Q8×C37C2314yes—
213C4⋊Q8×C37C2314yes—
214C4⋊Q8×C37C2314yes—
215C4⋊Q8×C37C2314yes—
216C4⋊Q8×C37C2314yes—
217C4⋊Q8×C37C2312yes—
218C4⋊Q8×C37C2318yes—
219C4⋊Q8×C37C2312yes—
220C4⋊Q8×C37C2311yescharacteristic
221C4⋊Q8×C37C2312yes—
222C4⋊Q8×C37C2312yes—
223C4⋊Q8×C37C2312yes—
224C4⋊Q8×C37C2311yescharacteristic
225C4⋊Q8×C37C2312yes—
226C4⋊Q8×C37C2312yes—
227C4⋊Q8×C37C2314yes—
228C4⋊Q8×C37C2314yes—
229C4⋊Q8×C37C2312yes—
230C4⋊Q8×C37C2314yes—
231C4⋊Q8×C37C2312yes—
232C4⋊Q8×C37C2312yes—
233C4⋊Q8×C37C2314yes—
234C4⋊Q8×C37C2312yes—
235C4⋊Q8×C37C2318yes—
236C4⋊Q8×C37C2318yes—
237C4⋊Q8×C37C2318yes—
238#127×C37C2311yescharacteristic
239#127×C37C2312yes—
240#126×C37C2314yes—
241#126×C37C2318yes—
242#126×C37C2318yes—
243#126×C37C2318yes—
244#126×C37C2318yes—
245#126×C37C2314yes—
246#126×C37C2318yes—
247#126×C37C2318yes—
248#126×C37C2314yes—
249#126×C37C2318yes—
250#126×C37C2318yes—
251#126×C37C2314yes—
252#126×C37C2314yes—
253#126×C37C2314yes—
254#126×C37C2318yes—
255#126×C37C2314yes—
256#126×C37C2318yes—
257#126×C37C2318yes—
258#126×C37C2318yes—
259#126×C37C2318yes—
260#126×C37C2318yes—
261#126×C37C2318yes—
262#125×C37C2312yes—
263#125×C37C2312yes—
264#125×C37C2314yes—
265#125×C37C2314yes—
266#125×C37C2314yes—
267#125×C37C2318yes—
268#125×C37C2318yes—
269#125×C37C2318yes—
270#125×C37C2318yes—
271#125×C37C2318yes—
272#125×C37C2314yes—
273#125×C37C2318yes—
274#125×C37C2314yes—
275#125×C37C2314yes—
276#125×C37C2314yes—
277#125×C37C2318yes—
278#125×C37C2312yes—
279#125×C37C2314yes—
280#125×C37C2318yes—
281#125×C37C2312yes—
282#125×C37C2314yes—
283#125×C37C2312yes—
284#125×C37C2314yes—
285#125×C37C2314yes—
286#125×C37C2318yes—
287#125×C37C2314yes—
288#125×C37C2318yes—
289#125×C37C2314yes—
290#125×C37C2314yes—
291#125×C37C2314yes—
292#125×C37C2312yes—
293#125×C37C2318yes—
294#125×C37C2318yes—
295#125×C37C2318yes—
296#125×C37C2318yes—
297#125×C37C2318yes—
298#125×C37C2318yes—
299#125×C37C2318yes—
300#125×C37C2318yes—
301#124×C37C2312yes—
302#124×C37C2312yes—
303#124×C37C2312yes—
304#124×C37C2312yes—
305#124×C37C2314yes—
306#124×C37C2312yes—
307#124×C37C2314yes—
308#124×C37C2314yes—
309#124×C37C2318yes—
310#124×C37C2314yes—
311#124×C37C2318yes—
312#124×C37C2314yes—
313#124×C37C2312yes—
314#124×C37C2318yes—
315#123×C37C2314yes—
316#123×C37C2314yes—
317#123×C37C2318yes—
318#123×C37C2318yes—
319#123×C37C2318yes—
320#123×C37C2314yes—
321#123×C37C2314yes—
322#123×C37C2314yes—
323#123×C37C2318yes—
324#123×C37C2318yes—
325#123×C37C2314yes—
326#123×C37C2314yes—
327#123×C37C2318yes—
328#123×C37C2318yes—
329#123×C37C2318yes—
330#123×C37C2318yes—
331#123×C37C2318yes—
332#123×C37C2318yes—
333C22⋊Q8×C37C2312yes—
334C22⋊Q8×C37C2312yes—
335C22⋊Q8×C37C2312yes—
336C22⋊Q8×C37C2314yes—
337C22⋊Q8×C37C2312yes—
338C22⋊Q8×C37C2314yes—
339C22⋊Q8×C37C2312yes—
340C22⋊Q8×C37C2314yes—
341C22⋊Q8×C37C2318yes—
342C22⋊Q8×C37C2314yes—
343C22⋊Q8×C37C2312yes—
344C22⋊Q8×C37C2314yes—
345C22⋊Q8×C37C2318yes—
346C22⋊Q8×C37C2318yes—
347C22⋊Q8×C37C2314yes—
348C22⋊Q8×C37C2312yes—
349C22⋊Q8×C37C2312yes—
350C22⋊Q8×C37C2314yes—
351C22⋊Q8×C37C2314yes—
352C22⋊Q8×C37C2314yes—
353C22⋊Q8×C37C2314yes—
354C22⋊Q8×C37C2314yes—
355C22⋊Q8×C37C2312yes—
356C22⋊Q8×C37C2314yes—
357C22⋊Q8×C37C2318yes—
358C22⋊Q8×C37C2314yes—
359C22⋊Q8×C37C2318yes—
360C22⋊Q8×C37C2312yes—
361C22⋊Q8×C37C2314yes—
362C22⋊Q8×C37C2312yes—
363C22⋊Q8×C37C2314yes—
364C22⋊Q8×C37C2314yes—
365C22⋊Q8×C37C2314yes—
366C22⋊Q8×C37C2314yes—
367C22⋊Q8×C37C2318yes—
368C22⋊Q8×C37C2318yes—
369C22⋊Q8×C37C2318yes—
370C22⋊Q8×C37C2318yes—
371C22⋊Q8×C37C2318yes—
372C22⋊Q8×C37C2318yes—
373C22⋊Q8×C37C2318yes—
374C22⋊Q8×C37C2318yes—
375C22⋊Q8×C37C2318yes—
376C22⋊Q8×C37C2318yes—
377#121×C37C2312yes—
378#121×C37C2314yes—
379#121×C37C2312yes—
380#121×C37C2314yes—
381#121×C37C2318yes—
382#121×C37C2314yes—
383#121×C37C2314yes—
384#121×C37C2312yes—
385#121×C37C2314yes—
386#121×C37C2312yes—
387#121×C37C2314yes—
388#121×C37C2312yes—
389#121×C37C2314yes—
390#121×C37C2318yes—
391#121×C37C2318yes—
392C4×Q8×C37C2312yes—
393C4×Q8×C37C2314yes—
394C4×Q8×C37C2318yes—
395C4×Q8×C37C2314yes—
396C4×Q8×C37C2314yes—
397C4×Q8×C37C2318yes—
398C4×Q8×C37C2314yes—
399C4×Q8×C37C2314yes—
400C4×Q8×C37C2314yes—
401C4×Q8×C37C2314yes—
402C4×Q8×C37C2311yescharacteristic
403C4×Q8×C37C2312yes—
404C4×Q8×C37C2314yes—
405C4×Q8×C37C2314yes—
406C4×Q8×C37C2312yes—
407C4×Q8×C37C2314yes—
408C4×Q8×C37C2312yes—
409C4×Q8×C37C2318yes—
410C4×Q8×C37C2312yes—
411C4×Q8×C37C2314yes—
412C4×Q8×C37C2312yes—
413C4×Q8×C37C2311yescharacteristic
414C4×Q8×C37C2312yes—
415C4×Q8×C37C2314yes—
416C4×Q8×C37C2312yes—
417C4×Q8×C37C2311yescharacteristic
418C4×Q8×C37C2312yes—
419C4×Q8×C37C2311yescharacteristic
420C4×Q8×C37C2314yes—
421C4×Q8×C37C2318yes—
422C4×Q8×C37C2312yes—
423C4×Q8×C37C2312yes—
424C4×Q8×C37C2314yes—
425C4×Q8×C37C2312yes—
426C4×Q8×C37C2311yescharacteristic
427C4×Q8×C37C2311yescharacteristic
428C4×Q8×C37C2312yes—
429C4×Q8×C37C2314yes—
430C4×Q8×C37C2312yes—
431C4×Q8×C37C2318yes—
432C4×Q8×C37C2314yes—
433C4×Q8×C37C2312yes—
434C4×Q8×C37C2314yes—
435C4×Q8×C37C2311yescharacteristic
436C4×Q8×C37C2311yescharacteristic
437C4×D4×C37C2312yes—
438C4×D4×C37C2318yes—
439C4×D4×C37C2318yes—
440C4×D4×C37C2318yes—
441C4×D4×C37C2318yes—
442C4×D4×C37C2318yes—
443C4×D4×C37C2314yes—
444C4×D4×C37C2314yes—
445C4×D4×C37C2314yes—
446C4×D4×C37C2314yes—
447C4×D4×C37C2314yes—
448C4×D4×C37C2312yes—
449C4×D4×C37C2314yes—
450C4×D4×C37C2311yescharacteristic
451C4×D4×C37C2312yes—
452C4×D4×C37C2312yes—
453C4×D4×C37C2311yescharacteristic
454C4×D4×C37C2312yes—
455C4×D4×C37C2314yes—
456C4×D4×C37C2314yes—
457C4×D4×C37C2312yes—
458C4×D4×C37C2312yes—
459C4×D4×C37C2314yes—
460C4×D4×C37C2318yes—
461C4×D4×C37C2318yes—
462C4×D4×C37C2314yes—
463C4×D4×C37C2314yes—
464C4×D4×C37C2314yes—
465C4×D4×C37C2314yes—
466C4×D4×C37C2312yes—
467C4×D4×C37C2312yes—
468C4×D4×C37C2312yes—
469C4×D4×C37C2312yes—
470C4×D4×C37C2311yescharacteristic
471C4×D4×C37C2311yescharacteristic
472#117×C37C2312yes—
473#117×C37C2314yes—
474#117×C37C2318yes—
475#117×C37C2318yes—
476#117×C37C2311yescharacteristic
477#117×C37C2312yes—
478#117×C37C2314yes—
479#117×C37C2318yes—
480#117×C37C2314yes—
481#117×C37C2314yes—
482#117×C37C2314yes—
483#117×C37C2318yes—
484#117×C37C2318yes—
485#117×C37C2312yes—
486#117×C37C2314yes—
487#117×C37C2318yes—
488#117×C37C2318yes—
489#117×C37C2314yes—
490#117×C37C2312yes—
491#117×C37C2314yes—
492#117×C37C2311yescharacteristic
493#117×C37C2314yes—
494C2×C4⋊C4×C37C2311yescharacteristic
495C2×C4⋊C4×C37C2312yes—
496C2×C4⋊C4×C37C2312yes—
497C2×C4⋊C4×C37C2318yes—
498C2×C4⋊C4×C37C2314yes—
499C2×C4⋊C4×C37C2314yes—
500C2×C4⋊C4×C37C2314yes—
501C2×C4⋊C4×C37C2314yes—
502C2×C4⋊C4×C37C2312yes—
503C2×C4⋊C4×C37C2312yes—
504C2×C4⋊C4×C37C2312yes—
505C2×C4⋊C4×C37C2314yes—
506C2×C4⋊C4×C37C2314yes—
507C2×C4⋊C4×C37C2318yes—
508C2×C4⋊C4×C37C2314yes—
509C2×C4⋊C4×C37C2314yes—
510C2×C4⋊C4×C37C2311yescharacteristic
511C2×C42×C37C2314yes—
512C2×C42×C37C2314yes—
513C2×C42×C37C2312yes—
514C2×C42×C37C2312yes—
515C2×C42×C37C2314yes—
516C2×C42×C37C2312yes—
517C2×C42×C37C2312yes—
518C2×C42×C37C2311yescharacteristic
519#41×C37—24no—
520#41×C37—28no—
521#41×C37—24no—
522#41×C37—44no—
523#41×C37—48no—
524C2×Q8×C37—24no—
525C2×Q8×C37—42no—
526C2×Q8×C37—44no—
527C2×Q8×C37—48no—
528C2×Q8×C37—44no—
529C2×Q8×C37C2412yes—
530C2×Q8×C37C2411yescharacteristic
531C2×Q8×C37C2412yes—
532C2×Q8×C37C2412yes—
533C2×Q8×C37C2411yescharacteristic
534C2×Q8×C37C2412yes—
535C2×Q8×C37C2411yescharacteristic
536C2×Q8×C37C2414yes—
537C2×Q8×C37C2411yescharacteristic
538C2×Q8×C37C2412yes—
539C2×Q8×C37C2414yes—
540C2×Q8×C37C2414yes—
541C2×Q8×C37C2414yes—
542C2×Q8×C37C2418yes—
543C2×Q8×C37C2412yes—
544C2×Q8×C37C2414yes—
545C2×D4×C37C2414yes—
546C2×D4×C37C2412yes—
547C2×D4×C37C2412yes—
548C2×D4×C37C2411yescharacteristic
549C2×D4×C37C2411yescharacteristic
550C2×D4×C37C2412yes—
551C2×D4×C37C2412yes—
552C2×D4×C37C2414yes—
553C2×D4×C37C2412yes—
554C2×D4×C37C2414yes—
555C2×D4×C37C2418yes—
556C2×D4×C37C2414yes—
557C22×C4×C37C2412yes—
558C22×C4×C37C2411yescharacteristic
559C22×C4×C37C2412yes—
560C22×C4×C37C2414yes—
561C22×C4×C37C2412yes—
562C22×C4×C37C2412yes—
563C22×C4×C37C2412yes—
564C22×C4×C37C2412yes—
565C22×C4×C37C2411yescharacteristic
566C22×C4×C37C2412yes—
567C22×C4×C37C2412yes—
568C22×C4×C37C2414yes—
569C22×C4×C37C2414yes—
570C22×C4×C37C2414yes—
571C22×C4×C37C2412yes—
572C22×C4×C37C2414yes—
573C22×C4×C37C2412yes—
574C22×C4×C37C2414yes—
575C22×C4×C37C2418yes—
576C22×C4×C37C2418yes—
577C22×C4×C37C2418yes—
578C22×C4×C37C2411yescharacteristic
579C4⋊C4×C37C2411yescharacteristic
580C4⋊C4×C37C2411yescharacteristic
581C4⋊C4×C37C2412yes—
582C4⋊C4×C37C2414yes—
583C4⋊C4×C37C2414yes—
584C4⋊C4×C37C2412yes—
585C4⋊C4×C37C2412yes—
586C4⋊C4×C37C2412yes—
587C4⋊C4×C37C2418yes—
588C4⋊C4×C37C2414yes—
589C4⋊C4×C37C2414yes—
590C4⋊C4×C37C2418yes—
591C4⋊C4×C37C2414yes—
592C4⋊C4×C37C2412yes—
593C4⋊C4×C37C2414yes—
594C4⋊C4×C37C2412yes—
595C4⋊C4×C37C2414yes—
596C4⋊C4×C37C2414yes—
597C4⋊C4×C37C2418yes—
598C4⋊C4×C37C2418yes—
599C4⋊C4×C37C2418yes—
600C4⋊C4×C37C2412yes—
601C4⋊C4×C37C2414yes—
602C4⋊C4×C37C2412yes—
603C4⋊C4×C37C2418yes—
604C4⋊C4×C37C2418yes—
605C4⋊C4×C37C2418yes—
606C4⋊C4×C37C2418yes—
607C4⋊C4×C37C2411yescharacteristic
608C4⋊C4×C37C2412yes—
609C4⋊C4×C37C2412yes—
610C4⋊C4×C37C2418yes—
611C4⋊C4×C37C2414yes—
612C4⋊C4×C37C2414yes—
613C4⋊C4×C37C2414yes—
614C4⋊C4×C37C2418yes—
615C4⋊C4×C37C2412yes—
616C4⋊C4×C37C2414yes—
617C4⋊C4×C37C2418yes—
618C4⋊C4×C37C2411yescharacteristic
619C4⋊C4×C37C2414yes—
620C4⋊C4×C37C2412yes—
621C4⋊C4×C37C2414yes—
622C4⋊C4×C37C2414yes—
623C4⋊C4×C37C2414yes—
624C4⋊C4×C37C2418yes—
625C4⋊C4×C37C2411yescharacteristic
626C4⋊C4×C37C2411yescharacteristic
627C4⋊C4×C37C2412yes—
628C4⋊C4×C37C2414yes—
629C4⋊C4×C37C2412yes—
630C4⋊C4×C37C2414yes—
631C4⋊C4×C37C2412yes—
632C4⋊C4×C37C2414yes—
633C4⋊C4×C37C2412yes—
634C4⋊C4×C37C2412yes—
635C4⋊C4×C37C2414yes—
636C4⋊C4×C37C2414yes—
637C4⋊C4×C37C2418yes—
638C4⋊C4×C37C2414yes—
639C4⋊C4×C37C2414yes—
640C4⋊C4×C37C2418yes—
641C4⋊C4×C37C2414yes—
642C4⋊C4×C37C2414yes—
643C4⋊C4×C37C2414yes—
644C4⋊C4×C37C2414yes—
645C22⋊C4×C37C2414yes—
646C22⋊C4×C37C2414yes—
647C22⋊C4×C37C2414yes—
648C22⋊C4×C37C2414yes—
649C22⋊C4×C37C2418yes—
650C22⋊C4×C37C2418yes—
651C22⋊C4×C37C2414yes—
652C22⋊C4×C37C2414yes—
653C22⋊C4×C37C2414yes—
654C22⋊C4×C37C2418yes—
655C22⋊C4×C37C2412yes—
656C22⋊C4×C37C2414yes—
657C22⋊C4×C37C2412yes—
658C22⋊C4×C37C2414yes—
659C22⋊C4×C37C2412yes—
660C22⋊C4×C37C2414yes—
661C22⋊C4×C37C2414yes—
662C22⋊C4×C37C2414yes—
663C22⋊C4×C37C2418yes—
664C22⋊C4×C37C2418yes—
665C22⋊C4×C37C2418yes—
666C22⋊C4×C37C2414yes—
667C22⋊C4×C37C2412yes—
668C22⋊C4×C37C2414yes—
669C22⋊C4×C37C2412yes—
670C22⋊C4×C37C2412yes—
671C22⋊C4×C37C2414yes—
672C22⋊C4×C37C2418yes—
673C22⋊C4×C37C2414yes—
674C22⋊C4×C37C2414yes—
675C42×C37C2412yes—
676C42×C37C2412yes—
677C42×C37C2411yescharacteristic
678C42×C37C2412yes—
679C42×C37C2411yescharacteristic
680C42×C37C2418yes—
681C42×C37C2414yes—
682C42×C37C2414yes—
683C42×C37C2411yescharacteristic
684C42×C37C2412yes—
685C42×C37C2414yes—
686C42×C37C2412yes—
687C42×C37C2412yes—
688C42×C37C2414yes—
689C42×C37C2412yes—
690C42×C37C2411yescharacteristic
691C42×C37C2412yes—
692C42×C37C2414yes—
693C42×C37C2412yes—
694C42×C37C2414yes—
695C42×C37C2412yes—
696C42×C37C2414yes—
697C42×C37C2418yes—
698C42×C37C2418yes—
699C42×C37C2418yes—
700C42×C37C2418yes—
701C23×C37C2512yes—
702C23×C37C2512yes—
703C23×C37C2514yes—
704C23×C37C2511yescharacteristic
705Q8×C37—24no—
706Q8×C37—24no—
707Q8×C37—22no—
708Q8×C37—24no—
709Q8×C37—22no—
710Q8×C37—22no—
711Q8×C37—24no—
712Q8×C37—28no—
713Q8×C37—22no—
714Q8×C37—44no—
715Q8×C37—48no—
716Q8×C37—42no—
717Q8×C37—44no—
718Q8×C37—44no—
719Q8×C37—42no—
720Q8×C37—44no—
721D4×C37—28no—
722D4×C37—24no—
723D4×C37—24no—
724D4×C37—22no—
725D4×C37—22no—
726D4×C37—24no—
727D4×C37—24no—
728D4×C37—42no—
729D4×C37—44no—
730D4×C37—44no—
731D4×C37—44no—
732D4×C37—48no—
733C2×C4×C37—24no—
734C2×C4×C37—28no—
735C2×C4×C37—24no—
736C2×C4×C37—24no—
737C2×C4×C37—22no—
738C2×C4×C37—24no—
739C2×C4×C37—24no—
740C2×C4×C37—44no—
741C2×C4×C37—44no—
742C2×C4×C37—42no—
743C2×C4×C37—41no—
744C2×C4×C37—42no—
745C2×C4×C37—42no—
746C2×C4×C37—48no—
747C2×C4×C37—42no—
748C2×C4×C37—42no—
749C2×C4×C37—44no—
750C2×C4×C37—48no—
751C2×C4×C37—44no—
752C2×C4×C37—48no—
753C2×C4×C37—44no—
754C2×C4×C372−1+414yes—
755C2×C4×C37C2512yes—
756C2×C4×C37C2514yes—
757C2×C4×C37C2512yes—
758C2×C4×C37C2511yescharacteristic
759C2×C4×C37C2512yes—
760C2×C4×C37C2514yes—
761C2×C4×C37C2512yes—
762C2×C4×C37C2512yes—
763C2×C4×C37C2512yes—
764C2×C4×C37C2511yescharacteristic
765C2×C4×C37C2514yes—
766C2×C4×C37C2512yes—
767C2×C4×C37C2512yes—
768C2×C4×C37C2514yes—
769C2×C4×C37C2514yes—
770C2×C4×C37C2518yes—
771C2×C4×C37C2511yescharacteristic
772C2×C4×C37C2512yes—
773C2×C4×C37C2512yes—
774C2×C4×C37C2511yescharacteristic
775C2×C4×C37C2511yescharacteristic
776C2×C4×C37C2511yescharacteristic
777#62956C3711yesmaximal, characteristic, direct product factor, Sylow
778C22×C37—21no—
779C22×C37—21no—
780C22×C37—22no—
781C22×C37—22no—
782C22×C37—24no—
783C22×C37—22no—
784C22×C37—22no—
785C22×C37—24no—
786C22×C37—22no—
787C22×C37—24no—
788C22×C37—22no—
789C22×C37C2×2−1+412yes—
790C22×C37C2611yescharacteristic
791C4×C37—24no—
792C4×C37—22no—
793C4×C37—22no—
794C4×C37—24no—
795C4×C37—22no—
796C4×C37—22no—
797C4×C37—21no—
798C4×C37—22no—
799C4×C37—28no—
800C4×C37—22no—
801C4×C37—24no—
802C4×C37—22no—
803C4×C37—21no—
804C4×C37—24no—
805C4×C37—22no—
806C4×C37—24no—
807C4×C37—21no—
808C4×C37—22no—
809C4×C37—22no—
810C4×C37C2×2−1+412yes—
811C4×C37C2×2−1+412yes—
812C4×C37#58512yes—
813#3565C2×C3714yescomplemented
814#3563C2×C3714yescomplemented
815#3557C2×C3714yescomplemented
816#3556C2×C3712yescomplemented
817#3555C2×C3712yescomplemented
818#3555C2×C3714yescomplemented
819#3554C2×C3712yescomplemented
820#3553C2×C3718yescomplemented
821#3552C2×C3712yescomplemented
822#3552C2×C3714yescomplemented
823#3523C2×C3712yescomplemented
824#3516C2×C3714yescomplemented
825#3515C2×C3712yescomplemented
826#3512C2×C3712yescomplemented
827#3511C2×C3711yescharacteristic, complemented
828#3509C2×C3712yescomplemented
829#3507C2×C3712yescomplemented
830#3507C2×C3711yescharacteristic, complemented
831#3507C2×C3712yescomplemented
832#3504C2×C3712yescomplemented
833#3503C2×C3711yescharacteristic, complemented
834#3480C2×C3711yescharacteristic, complemented
835Q8×#41C2×C3711yescharacteristic, complemented
836C2×#557C2×C3711yescharacteristic, complemented
837#3461C2×C3711yescharacteristic, complemented
838#3461C2×C3712yescomplemented
839C2×C37—22no—
840C2×C37—42no—
841C2×C37—42no—
842C2×C37—44no—
843C2×C37C22×2−1+411yescharacteristic
844C2×C37C2×#58511yescharacteristic
845C2×C372−1+611yescharacteristic
846#564C22×C3718yes—
847#563C22×C3718yes—
848#563C22×C3718yes—
849#563C22×C3718yes—
850#563C22×C3718yes—
851#562C22×C3718yes—
852#559C22×C3711yescharacteristic
853#559C22×C3712yes—
854#559C22×C3712yes—
855#559C22×C3714yes—
856Q82C22×C3711yescharacteristic
857Q82C22×C3712yes—
858#557C22×C3712yes—
859#557C22×C3712yes—
860#557C22×C3712yes—
861#557C22×C3712yes—
862#557C22×C3714yes—
863#557C22×C3714yes—
864#557C22×C3711yescharacteristic
865#557C22×C3712yes—
866#557C22×C3711yescharacteristic
867#557C22×C3712yes—
868#557C22×C3714yes—
869#557C22×C3714yes—
870#557C22×C3712yes—
871#557C22×C3714yes—
872#557C22×C3714yes—
873#557C22×C3714yes—
874#556C22×C3711yescharacteristic
875#556C22×C3712yes—
876#556C22×C3714yes—
877#556C22×C3714yes—
878#556C22×C3712yes—
879#556C22×C3714yes—
880#556C22×C3714yes—
881#556C22×C3714yes—
882#556C22×C3714yes—
883#556C22×C3712yes—
884#556C22×C3718yes—
885#555C22×C3712yes—
886#554C22×C3711yescharacteristic
887#554C22×C3712yes—
888#554C22×C3714yes—
889#554C22×C3712yes—
890#554C22×C3714yes—
891#554C22×C3712yes—
892#554C22×C3714yes—
893#554C22×C3718yes—
894#554C22×C3718yes—
895#554C22×C3714yes—
896#554C22×C3712yes—
897#554C22×C3714yes—
898#554C22×C3712yes—
899#553C22×C3712yes—
900#553C22×C3714yes—
901#553C22×C3714yes—
902#553C22×C3714yes—
903#553C22×C3718yes—
904#553C22×C3718yes—
905#553C22×C3714yes—
906#552C22×C3714yes—
907#552C22×C3714yes—
908#552C22×C3718yes—
909#552C22×C3714yes—
910#552C22×C3714yes—
911#552C22×C3718yes—
912#552C22×C3714yes—
913#552C22×C3714yes—
914#552C22×C3718yes—
915#552C22×C3718yes—
916#552C22×C3718yes—
917#550C22×C3711yescharacteristic
918D4×Q8C22×C3711yescharacteristic
919D4×Q8C22×C3712yes—
920D4×Q8C22×C3714yes—
921D4×Q8C22×C3712yes—
922D4×Q8C22×C3714yes—
923#548C22×C3712yes—
924#548C22×C3714yes—
925#548C22×C3714yes—
926#547C22×C3712yes—
927#547C22×C3714yes—
928#544C22×C3712yes—
929#544C22×C3711yescharacteristic
930#544C22×C3714yes—
931#544C22×C3714yes—
932#544C22×C3714yes—
933#544C22×C3718yes—
934#542C22×C3714yes—
935#542C22×C3714yes—
936#542C22×C3712yes—
937#542C22×C3712yes—
938#542C22×C3714yes—
939#542C22×C3714yes—
940#542C22×C3718yes—
941#542C22×C3718yes—
942#541C22×C3712yes—
943#541C22×C3714yes—
944#541C22×C3714yes—
945#541C22×C3712yes—
946#541C22×C3718yes—
947#541C22×C3714yes—
948#541C22×C3714yes—
949#541C22×C3714yes—
950#541C22×C3718yes—
951#541C22×C3714yes—
952#541C22×C3718yes—
953#541C22×C3718yes—
954#541C22×C3718yes—
955#540C22×C3714yes—
956#539C22×C3718yes—
957#539C22×C3714yes—
958#539C22×C3718yes—
959#539C22×C3714yes—
960#539C22×C3718yes—
961#539C22×C3718yes—
962#539C22×C3718yes—
963#539C22×C3718yes—
964#537C22×C3712yes—
965#537C22×C3711yescharacteristic
966#536C22×C3711yescharacteristic
967#536C22×C3711yescharacteristic
968#536C22×C3712yes—
969#536C22×C3714yes—
970#536C22×C3714yes—
971#533C22×C3712yes—
972#533C22×C3712yes—
973#533C22×C3714yes—
974#533C22×C3714yes—
975#533C22×C3711yescharacteristic
976#533C22×C3712yes—
977#533C22×C3712yes—
978#533C22×C3714yes—
979#533C22×C3712yes—
980#533C22×C3714yes—
981#533C22×C3712yes—
982#532C22×C3711yescharacteristic
983#532C22×C3712yes—
984#532C22×C3712yes—
985C2×C4⋊Q8C22×C3711yescharacteristic
986C2×C4⋊Q8C22×C3712yes—
987C2×C4⋊Q8C22×C3712yes—
988#529C22×C3714yes—
989#529C22×C3712yes—
990#529C22×C3714yes—
991#529C22×C3714yes—
992#529C22×C3718yes—
993#529C22×C3712yes—
994#529C22×C3712yes—
995#529C22×C3714yes—
996#529C22×C3714yes—
997#529C22×C3714yes—
998#529C22×C3718yes—
999#529C22×C3714yes—
1000C2×#125C22×C3712yes—
1001C2×#125C22×C3714yes—
1002C2×#125C22×C3714yes—
1003#520C22×C3712yes—
1004#520C22×C3712yes—
1005#520C22×C3712yes—
1006#520C22×C3714yes—
1007#519C22×C3714yes—
1008C4×#41C22×C3711yescharacteristic
1009C4×#41C22×C3712yes—
1010C4×#41C22×C3711yescharacteristic
1011C4×#41C22×C3712yes—
1012C4×#41C22×C3712yes—
1013C2×C4×Q8C22×C3712yes—
1014C2×C4×Q8C22×C3711yescharacteristic
1015C2×C4×Q8C22×C3711yescharacteristic
1016C2×C4×Q8C22×C3712yes—
1017C2×C4×Q8C22×C3712yes—
1018C37#6295611yescharacteristic, direct product factor, Sylow
1019C2×#41C23×C3711yescharacteristic
1020C2×#41C23×C3711yescharacteristic
1021C2×#41C23×C3712yes—
1022C2×#41C23×C3712yes—
1023C2×#41C23×C3714yes—
1024C22×Q8C23×C3711yescharacteristic
1025C22×Q8C23×C3711yescharacteristic
1026C22×Q8C23×C3712yes—
1027C22×Q8C23×C3712yes—
1028C22×Q8C23×C3714yes—
1029C4⋊Q8C23×C3712yes—
1030C4⋊Q8C23×C3711yescharacteristic
1031C4⋊Q8C23×C3712yes—
1032C4⋊Q8C23×C3714yes—
1033C4⋊Q8C23×C3714yes—
1034C4⋊Q8C23×C3714yes—
1035C4⋊Q8C23×C3714yes—
1036C4⋊Q8C23×C3714yes—
1037C4⋊Q8C23×C3712yes—
1038C4⋊Q8C23×C3718yes—
1039C4⋊Q8C23×C3712yes—
1040C4⋊Q8C23×C3711yescharacteristic
1041C4⋊Q8C23×C3712yes—
1042C4⋊Q8C23×C3712yes—
1043C4⋊Q8C23×C3712yes—
1044C4⋊Q8C23×C3711yescharacteristic
1045C4⋊Q8C23×C3712yes—
1046C4⋊Q8C23×C3712yes—
1047C4⋊Q8C23×C3714yes—
1048C4⋊Q8C23×C3714yes—
1049C4⋊Q8C23×C3712yes—
1050C4⋊Q8C23×C3714yes—
1051C4⋊Q8C23×C3712yes—
1052C4⋊Q8C23×C3712yes—
1053C4⋊Q8C23×C3714yes—
1054C4⋊Q8C23×C3712yes—
1055C4⋊Q8C23×C3718yes—
1056C4⋊Q8C23×C3718yes—
1057C4⋊Q8C23×C3718yes—
1058#127C23×C3711yescharacteristic
1059#127C23×C3712yes—
1060#126C23×C3714yes—
1061#126C23×C3718yes—
1062#126C23×C3718yes—
1063#126C23×C3718yes—
1064#126C23×C3718yes—
1065#126C23×C3714yes—
1066#126C23×C3718yes—
1067#126C23×C3718yes—
1068#126C23×C3714yes—
1069#126C23×C3718yes—
1070#126C23×C3718yes—
1071#126C23×C3714yes—
1072#126C23×C3714yes—
1073#126C23×C3714yes—
1074#126C23×C3718yes—
1075#126C23×C3714yes—
1076#126C23×C3718yes—
1077#126C23×C3718yes—
1078#126C23×C3718yes—
1079#126C23×C3718yes—
1080#126C23×C3718yes—
1081#126C23×C3718yes—
1082#125C23×C3712yes—
1083#125C23×C3712yes—
1084#125C23×C3714yes—
1085#125C23×C3714yes—
1086#125C23×C3714yes—
1087#125C23×C3718yes—
1088#125C23×C3718yes—
1089#125C23×C3718yes—
1090#125C23×C3718yes—
1091#125C23×C3718yes—
1092#125C23×C3714yes—
1093#125C23×C3718yes—
1094#125C23×C3714yes—
1095#125C23×C3714yes—
1096#125C23×C3714yes—
1097#125C23×C3718yes—
1098#125C23×C3712yes—
1099#125C23×C3714yes—
1100#125C23×C3718yes—
1101#125C23×C3712yes—
1102#125C23×C3714yes—
1103#125C23×C3712yes—
1104#125C23×C3714yes—
1105#125C23×C3714yes—
1106#125C23×C3718yes—
1107#125C23×C3714yes—
1108#125C23×C3718yes—
1109#125C23×C3714yes—
1110#125C23×C3714yes—
1111#125C23×C3714yes—
1112#125C23×C3712yes—
1113#125C23×C3718yes—
1114#125C23×C3718yes—
1115#125C23×C3718yes—
1116#125C23×C3718yes—
1117#125C23×C3718yes—
1118#125C23×C3718yes—
1119#125C23×C3718yes—
1120#125C23×C3718yes—
1121#124C23×C3712yes—
1122#124C23×C3712yes—
1123#124C23×C3712yes—
1124#124C23×C3712yes—
1125#124C23×C3714yes—
1126#124C23×C3712yes—
1127#124C23×C3714yes—
1128#124C23×C3714yes—
1129#124C23×C3718yes—
1130#124C23×C3714yes—
1131#124C23×C3718yes—
1132#124C23×C3714yes—
1133#124C23×C3712yes—
1134#124C23×C3718yes—
1135#123C23×C3714yes—
1136#123C23×C3714yes—
1137#123C23×C3718yes—
1138#123C23×C3718yes—
1139#123C23×C3718yes—
1140#123C23×C3714yes—
1141#123C23×C3714yes—
1142#123C23×C3714yes—
1143#123C23×C3718yes—
1144#123C23×C3718yes—
1145#123C23×C3714yes—
1146#123C23×C3714yes—
1147#123C23×C3718yes—
1148#123C23×C3718yes—
1149#123C23×C3718yes—
1150#123C23×C3718yes—
1151#123C23×C3718yes—
1152#123C23×C3718yes—
1153C22⋊Q8C23×C3712yes—
1154C22⋊Q8C23×C3712yes—
1155C22⋊Q8C23×C3712yes—
1156C22⋊Q8C23×C3714yes—
1157C22⋊Q8C23×C3712yes—
1158C22⋊Q8C23×C3714yes—
1159C22⋊Q8C23×C3712yes—
1160C22⋊Q8C23×C3714yes—
1161C22⋊Q8C23×C3718yes—
1162C22⋊Q8C23×C3714yes—
1163C22⋊Q8C23×C3712yes—
1164C22⋊Q8C23×C3714yes—
1165C22⋊Q8C23×C3718yes—
1166C22⋊Q8C23×C3718yes—
1167C22⋊Q8C23×C3714yes—
1168C22⋊Q8C23×C3712yes—
1169C22⋊Q8C23×C3712yes—
1170C22⋊Q8C23×C3714yes—
1171C22⋊Q8C23×C3714yes—
1172C22⋊Q8C23×C3714yes—
1173C22⋊Q8C23×C3714yes—
1174C22⋊Q8C23×C3714yes—
1175C22⋊Q8C23×C3712yes—
1176C22⋊Q8C23×C3714yes—
1177C22⋊Q8C23×C3718yes—
1178C22⋊Q8C23×C3714yes—
1179C22⋊Q8C23×C3718yes—
1180C22⋊Q8C23×C3712yes—
1181C22⋊Q8C23×C3714yes—
1182C22⋊Q8C23×C3712yes—
1183C22⋊Q8C23×C3714yes—
1184C22⋊Q8C23×C3714yes—
1185C22⋊Q8C23×C3714yes—
1186C22⋊Q8C23×C3714yes—
1187C22⋊Q8C23×C3718yes—
1188C22⋊Q8C23×C3718yes—
1189C22⋊Q8C23×C3718yes—
1190C22⋊Q8C23×C3718yes—
1191C22⋊Q8C23×C3718yes—
1192C22⋊Q8C23×C3718yes—
1193C22⋊Q8C23×C3718yes—
1194C22⋊Q8C23×C3718yes—
1195C22⋊Q8C23×C3718yes—
1196C22⋊Q8C23×C3718yes—
1197#121C23×C3712yes—
1198#121C23×C3714yes—
1199#121C23×C3712yes—
1200#121C23×C3714yes—
1201#121C23×C3718yes—
1202#121C23×C3714yes—
1203#121C23×C3714yes—
1204#121C23×C3712yes—
1205#121C23×C3714yes—
1206#121C23×C3712yes—
1207#121C23×C3714yes—
1208#121C23×C3712yes—
1209#121C23×C3714yes—
1210#121C23×C3718yes—
1211#121C23×C3718yes—
1212C4×Q8C23×C3711yescharacteristic
1213C4×Q8C23×C3711yescharacteristic
1214C4×Q8C23×C3712yes—
1215C4×Q8C23×C3714yes—
1216C4×Q8C23×C3711yescharacteristic
1217C4×Q8C23×C3712yes—
1218C4×Q8C23×C3714yes—
1219C4×Q8C23×C3712yes—
1220C4×Q8C23×C3714yes—
1221C4×Q8C23×C3712yes—
1222C4×Q8C23×C3712yes—
1223C4×Q8C23×C3711yescharacteristic
1224C4×Q8C23×C3714yes—
1225C4×Q8C23×C3712yes—
1226C4×Q8C23×C3712yes—
1227C4×Q8C23×C3714yes—
1228C4×Q8C23×C3714yes—
1229C4×Q8C23×C3712yes—
1230C4×Q8C23×C3718yes—
1231C4×Q8C23×C3714yes—
1232C4×Q8C23×C3712yes—
1233C4×Q8C23×C3714yes—
1234C4×Q8C23×C3712yes—
1235C4×Q8C23×C3712yes—
1236C4×Q8C23×C3711yescharacteristic
1237C4×Q8C23×C3711yescharacteristic
1238C4×Q8C23×C3712yes—
1239C4×Q8C23×C3712yes—
1240C4×Q8C23×C3711yescharacteristic
1241C4×Q8C23×C3711yescharacteristic
1242C4×Q8C23×C3712yes—
1243C4×Q8C23×C3718yes—
1244C4×Q8C23×C3714yes—
1245C4×Q8C23×C3714yes—
1246C4×Q8C23×C3718yes—
1247C4×Q8C23×C3714yes—
1248C4×Q8C23×C3714yes—
1249C4×Q8C23×C3714yes—
1250C4×Q8C23×C3714yes—
1251C4×Q8C23×C3714yes—
1252C4×Q8C23×C3718yes—
1253C4×Q8C23×C3712yes—
1254C4×Q8C23×C3714yes—
1255C4×Q8C23×C3714yes—
1256C4×Q8C23×C3718yes—
1257C4×D4C23×C3712yes—
1258C4×D4C23×C3711yescharacteristic
1259C4×D4C23×C3712yes—
1260C4×D4C23×C3712yes—
1261C4×D4C23×C3711yescharacteristic
1262C4×D4C23×C3712yes—
1263C4×D4C23×C3714yes—
1264C4×D4C23×C3714yes—
1265C4×D4C23×C3712yes—
1266C4×D4C23×C3712yes—
1267C4×D4C23×C3714yes—
1268C4×D4C23×C3714yes—
1269C4×D4C23×C3714yes—
1270C4×D4C23×C3714yes—
1271C4×D4C23×C3712yes—
1272C4×D4C23×C3712yes—
1273C4×D4C23×C3712yes—
1274C4×D4C23×C3712yes—
1275C4×D4C23×C3711yescharacteristic
1276C4×D4C23×C3711yescharacteristic
1277C4×D4C23×C3718yes—
1278C4×D4C23×C3718yes—
1279C4×D4C23×C3718yes—
1280C4×D4C23×C3718yes—
1281C4×D4C23×C3718yes—
1282C4×D4C23×C3714yes—
1283C4×D4C23×C3714yes—
1284C4×D4C23×C3714yes—
1285C4×D4C23×C3714yes—
1286C4×D4C23×C3714yes—
1287C4×D4C23×C3712yes—
1288C4×D4C23×C3714yes—
1289C4×D4C23×C3718yes—
1290C4×D4C23×C3718yes—
1291C4×D4C23×C3714yes—
1292#117C23×C3711yescharacteristic
1293#117C23×C3712yes—
1294#117C23×C3711yescharacteristic
1295#117C23×C3712yes—
1296#117C23×C3712yes—
1297#117C23×C3714yes—
1298#117C23×C3714yes—
1299#117C23×C3712yes—
1300#117C23×C3714yes—
1301#117C23×C3714yes—
1302#117C23×C3718yes—
1303#117C23×C3718yes—
1304#117C23×C3714yes—
1305#117C23×C3718yes—
1306#117C23×C3714yes—
1307#117C23×C3714yes—
1308#117C23×C3714yes—
1309#117C23×C3718yes—
1310#117C23×C3718yes—
1311#117C23×C3718yes—
1312#117C23×C3718yes—
1313#117C23×C3714yes—
1314C2×C4⋊C4C23×C3711yescharacteristic
1315C2×C4⋊C4C23×C3711yescharacteristic
1316C2×C4⋊C4C23×C3712yes—
1317C2×C4⋊C4C23×C3712yes—
1318C2×C4⋊C4C23×C3712yes—
1319C2×C4⋊C4C23×C3712yes—
1320C2×C4⋊C4C23×C3714yes—
1321C2×C4⋊C4C23×C3714yes—
1322C2×C4⋊C4C23×C3714yes—
1323C2×C4⋊C4C23×C3718yes—
1324C2×C4⋊C4C23×C3714yes—
1325C2×C4⋊C4C23×C3714yes—
1326C2×C4⋊C4C23×C3714yes—
1327C2×C4⋊C4C23×C3714yes—
1328C2×C4⋊C4C23×C3712yes—
1329C2×C4⋊C4C23×C3718yes—
1330C2×C4⋊C4C23×C3714yes—
1331C2×C42C23×C3712yes—
1332C2×C42C23×C3711yescharacteristic
1333C2×C42C23×C3714yes—
1334C2×C42C23×C3712yes—
1335C2×C42C23×C3714yes—
1336C2×C42C23×C3712yes—
1337C2×C42C23×C3714yes—
1338C2×C42C23×C3712yes—
1339#41—24no—
1340#41—24no—
1341#41—28no—
1342#41—44no—
1343#41—48no—
1344C2×Q8—24no—
1345C2×Q8—42no—
1346C2×Q8—44no—
1347C2×Q8—48no—
1348C2×Q8—44no—
1349C2×Q8C24×C3712yes—
1350C2×Q8C24×C3711yescharacteristic
1351C2×Q8C24×C3712yes—
1352C2×Q8C24×C3712yes—
1353C2×Q8C24×C3711yescharacteristic
1354C2×Q8C24×C3711yescharacteristic
1355C2×Q8C24×C3712yes—
1356C2×Q8C24×C3714yes—
1357C2×Q8C24×C3711yescharacteristic
1358C2×Q8C24×C3712yes—
1359C2×Q8C24×C3714yes—
1360C2×Q8C24×C3714yes—
1361C2×Q8C24×C3714yes—
1362C2×Q8C24×C3718yes—
1363C2×Q8C24×C3712yes—
1364C2×Q8C24×C3714yes—
1365C2×D4C24×C3712yes—
1366C2×D4C24×C3712yes—
1367C2×D4C24×C3714yes—
1368C2×D4C24×C3711yescharacteristic
1369C2×D4C24×C3711yescharacteristic
1370C2×D4C24×C3712yes—
1371C2×D4C24×C3712yes—
1372C2×D4C24×C3714yes—
1373C2×D4C24×C3712yes—
1374C2×D4C24×C3714yes—
1375C2×D4C24×C3718yes—
1376C2×D4C24×C3714yes—
1377C22×C4C24×C3712yes—
1378C22×C4C24×C3711yescharacteristic
1379C22×C4C24×C3712yes—
1380C22×C4C24×C3714yes—
1381C22×C4C24×C3712yes—
1382C22×C4C24×C3712yes—
1383C22×C4C24×C3712yes—
1384C22×C4C24×C3712yes—
1385C22×C4C24×C3711yescharacteristic
1386C22×C4C24×C3712yes—
1387C22×C4C24×C3712yes—
1388C22×C4C24×C3714yes—
1389C22×C4C24×C3714yes—
1390C22×C4C24×C3714yes—
1391C22×C4C24×C3712yes—
1392C22×C4C24×C3714yes—
1393C22×C4C24×C3712yes—
1394C22×C4C24×C3714yes—
1395C22×C4C24×C3718yes—
1396C22×C4C24×C3718yes—
1397C22×C4C24×C3718yes—
1398C22×C4C24×C3711yescharacteristic
1399C4⋊C4C24×C3711yescharacteristic
1400C4⋊C4C24×C3711yescharacteristic
1401C4⋊C4C24×C3712yes—
1402C4⋊C4C24×C3714yes—
1403C4⋊C4C24×C3714yes—
1404C4⋊C4C24×C3712yes—
1405C4⋊C4C24×C3712yes—
1406C4⋊C4C24×C3712yes—
1407C4⋊C4C24×C3718yes—
1408C4⋊C4C24×C3714yes—
1409C4⋊C4C24×C3714yes—
1410C4⋊C4C24×C3718yes—
1411C4⋊C4C24×C3714yes—
1412C4⋊C4C24×C3712yes—
1413C4⋊C4C24×C3714yes—
1414C4⋊C4C24×C3712yes—
1415C4⋊C4C24×C3714yes—
1416C4⋊C4C24×C3714yes—
1417C4⋊C4C24×C3718yes—
1418C4⋊C4C24×C3718yes—
1419C4⋊C4C24×C3718yes—
1420C4⋊C4C24×C3712yes—
1421C4⋊C4C24×C3714yes—
1422C4⋊C4C24×C3712yes—
1423C4⋊C4C24×C3718yes—
1424C4⋊C4C24×C3718yes—
1425C4⋊C4C24×C3718yes—
1426C4⋊C4C24×C3718yes—
1427C4⋊C4C24×C3711yescharacteristic
1428C4⋊C4C24×C3712yes—
1429C4⋊C4C24×C3712yes—
1430C4⋊C4C24×C3718yes—
1431C4⋊C4C24×C3714yes—
1432C4⋊C4C24×C3714yes—
1433C4⋊C4C24×C3714yes—
1434C4⋊C4C24×C3718yes—
1435C4⋊C4C24×C3712yes—
1436C4⋊C4C24×C3714yes—
1437C4⋊C4C24×C3718yes—
1438C4⋊C4C24×C3711yescharacteristic
1439C4⋊C4C24×C3714yes—
1440C4⋊C4C24×C3712yes—
1441C4⋊C4C24×C3714yes—
1442C4⋊C4C24×C3714yes—
1443C4⋊C4C24×C3714yes—
1444C4⋊C4C24×C3718yes—
1445C4⋊C4C24×C3711yescharacteristic
1446C4⋊C4C24×C3711yescharacteristic
1447C4⋊C4C24×C3712yes—
1448C4⋊C4C24×C3714yes—
1449C4⋊C4C24×C3712yes—
1450C4⋊C4C24×C3714yes—
1451C4⋊C4C24×C3712yes—
1452C4⋊C4C24×C3714yes—
1453C4⋊C4C24×C3712yes—
1454C4⋊C4C24×C3712yes—
1455C4⋊C4C24×C3714yes—
1456C4⋊C4C24×C3714yes—
1457C4⋊C4C24×C3718yes—
1458C4⋊C4C24×C3714yes—
1459C4⋊C4C24×C3714yes—
1460C4⋊C4C24×C3718yes—
1461C4⋊C4C24×C3714yes—
1462C4⋊C4C24×C3714yes—
1463C4⋊C4C24×C3714yes—
1464C4⋊C4C24×C3714yes—
1465C22⋊C4C24×C3714yes—
1466C22⋊C4C24×C3714yes—
1467C22⋊C4C24×C3714yes—
1468C22⋊C4C24×C3714yes—
1469C22⋊C4C24×C3718yes—
1470C22⋊C4C24×C3718yes—
1471C22⋊C4C24×C3714yes—
1472C22⋊C4C24×C3714yes—
1473C22⋊C4C24×C3714yes—
1474C22⋊C4C24×C3718yes—
1475C22⋊C4C24×C3712yes—
1476C22⋊C4C24×C3712yes—
1477C22⋊C4C24×C3714yes—
1478C22⋊C4C24×C3714yes—
1479C22⋊C4C24×C3712yes—
1480C22⋊C4C24×C3714yes—
1481C22⋊C4C24×C3714yes—
1482C22⋊C4C24×C3714yes—
1483C22⋊C4C24×C3718yes—
1484C22⋊C4C24×C3718yes—
1485C22⋊C4C24×C3718yes—
1486C22⋊C4C24×C3714yes—
1487C22⋊C4C24×C3712yes—
1488C22⋊C4C24×C3714yes—
1489C22⋊C4C24×C3712yes—
1490C22⋊C4C24×C3712yes—
1491C22⋊C4C24×C3714yes—
1492C22⋊C4C24×C3718yes—
1493C22⋊C4C24×C3714yes—
1494C22⋊C4C24×C3714yes—
1495C42C24×C3712yes—
1496C42C24×C3712yes—
1497C42C24×C3711yescharacteristic
1498C42C24×C3712yes—
1499C42C24×C3711yescharacteristic
1500C42C24×C3718yes—
1501C42C24×C3714yes—
1502C42C24×C3714yes—
1503C42C24×C3711yescharacteristic
1504C42C24×C3712yes—
1505C42C24×C3714yes—
1506C42C24×C3712yes—
1507C42C24×C3712yes—
1508C42C24×C3714yes—
1509C42C24×C3712yes—
1510C42C24×C3711yescharacteristic
1511C42C24×C3712yes—
1512C42C24×C3714yes—
1513C42C24×C3712yes—
1514C42C24×C3714yes—
1515C42C24×C3712yes—
1516C42C24×C3714yes—
1517C42C24×C3718yes—
1518C42C24×C3718yes—
1519C42C24×C3718yes—
1520C42C24×C3718yes—
1521C23C25×C3712yes—
1522C23C25×C3712yes—
1523C23C25×C3714yes—
1524C23C25×C3711yescharacteristic
1525Q8—24no—
1526Q8—24no—
1527Q8—22no—
1528Q8—24no—
1529Q8—22no—
1530Q8—22no—
1531Q8—24no—
1532Q8—28no—
1533Q8—22no—
1534Q8—44no—
1535Q8—48no—
1536Q8—42no—
1537Q8—44no—
1538Q8—44no—
1539Q8—42no—
1540Q8—44no—
1541D4—24no—
1542D4—24no—
1543D4—28no—
1544D4—22no—
1545D4—22no—
1546D4—24no—
1547D4—24no—
1548D4—44no—
1549D4—48no—
1550D4—42no—
1551D4—44no—
1552D4—44no—
1553C2×C4—24no—
1554C2×C4—28no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—42no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—42no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—48no—
1573C2×C4—42no—
1574C2×C42−1+4×C3714yes—
1575C2×C4C25×C3712yes—
1576C2×C4C25×C3714yes—
1577C2×C4C25×C3712yes—
1578C2×C4C25×C3711yescharacteristic
1579C2×C4C25×C3712yes—
1580C2×C4C25×C3714yes—
1581C2×C4C25×C3712yes—
1582C2×C4C25×C3712yes—
1583C2×C4C25×C3712yes—
1584C2×C4C25×C3711yescharacteristic
1585C2×C4C25×C3714yes—
1586C2×C4C25×C3712yes—
1587C2×C4C25×C3712yes—
1588C2×C4C25×C3714yes—
1589C2×C4C25×C3714yes—
1590C2×C4C25×C3718yes—
1591C2×C4C25×C3711yescharacteristic
1592C2×C4C25×C3712yes—
1593C2×C4C25×C3712yes—
1594C2×C4C25×C3711yescharacteristic
1595C2×C4C25×C3711yescharacteristic
1596C2×C4C25×C3711yescharacteristic
1597C22—21no—
1598C22—21no—
1599C22—22no—
1600C22—22no—
1601C22—24no—
1602C22—22no—
1603C22—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—22no—
1608C22C2×2−1+4×C3712yes—
1609C22C26×C3711yescharacteristic
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—22no—
1615C4—22no—
1616C4—21no—
1617C4—22no—
1618C4—28no—
1619C4—22no—
1620C4—24no—
1621C4—22no—
1622C4—21no—
1623C4—24no—
1624C4—22no—
1625C4—24no—
1626C4—21no—
1627C4—22no—
1628C4—22no—
1629C4C2×2−1+4×C3712yes—
1630C4C2×2−1+4×C3712yes—
1631C4C37×#58512yes—
1632C2—22no—
1633C2—42no—
1634C2—42no—
1635C2—44no—
1636C2C22×2−1+4×C3711yescharacteristic
1637C2C2×C37×#58511yescharacteristic
1638C2C37×2−1+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×#3565C2semidirect
2. C37×#3563C2semidirect
3. C37×#3557C2semidirect
4. C37×#3556C2semidirect
5. C37×#3555C2semidirect
6. C37×#3555C2semidirect
7. C37×#3554C2semidirect
8. C37×#3553C2semidirect
9. C37×#3552C2semidirect
10. C37×#3552C2semidirect
11. C37×#3523C2semidirect
12. C37×#3516C2semidirect
13. C37×#3515C2semidirect
14. C37×#3512C2semidirect
15. C37×#3511C2semidirect
16. C37×#3509C2semidirect
17. C37×#3507C2semidirect
18. C37×#3507C2semidirect
19. C37×#3507C2semidirect
20. C37×#3504C2semidirect
21. C37×#3503C2semidirect
22. C37×#3480C2semidirect
23. Q8×#41×C37C2semidirect
24. C2×C37×#557C2semidirect
25. C37×#3461C2semidirect
26. C37×#3461C2semidirect
777. #62956C37direct (N × H)
813. #3565C2×C37semidirect
814. #3563C2×C37semidirect
815. #3557C2×C37semidirect
816. #3556C2×C37semidirect
817. #3555C2×C37semidirect
818. #3555C2×C37semidirect
819. #3554C2×C37semidirect
820. #3553C2×C37semidirect
821. #3552C2×C37semidirect
822. #3552C2×C37semidirect
823. #3523C2×C37semidirect
824. #3516C2×C37semidirect
825. #3515C2×C37semidirect
826. #3512C2×C37semidirect
827. #3511C2×C37semidirect
828. #3509C2×C37semidirect
829. #3507C2×C37semidirect
830. #3507C2×C37semidirect
831. #3507C2×C37semidirect
832. #3504C2×C37semidirect
833. #3503C2×C37semidirect
834. #3480C2×C37semidirect
835. Q8×#41C2×C37semidirect
836. C2×#557C2×C37semidirect
837. #3461C2×C37semidirect
838. #3461C2×C37semidirect
1018. C37#62956direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35652
C37×#35632
C37×#35572
C37×#35562
C37×#35552
C37×#35542
C37×#35532
C37×#35522
C37×#35232
C37×#35162
C37×#35152
C37×#35122
C37×#35112
C37×#35092
C37×#35072
C37×#35042
C37×#35032
C37×#34802
Q8×#41×C372
C2×C37×#5572
C37×#34612
#6295637