Finite Group Databasebeta

← C37×#61814 #22683067

Subgroups — C37×#61814 #22683067

Order 9472.

1688 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3547C211yesmaximal, characteristic, complemented
2C37×#3512C211yesmaximal, characteristic, complemented
3C37×#3352C211yesmaximal, characteristic, complemented
4C37×#3351C211yesmaximal, characteristic, complemented
5C37×#3348C211yesmaximal, characteristic, complemented
6C37×#3347C211yesmaximal, characteristic, complemented
7C37×#3346C211yesmaximal, characteristic, complemented
8C37×#3344C211yesmaximal, characteristic, complemented
9C37×#3337C211yesmaximal, characteristic, complemented
10C37×#3336C211yesmaximal, characteristic, complemented
11C37×#3327C211yesmaximal, characteristic, complemented
12C37×#3326C211yesmaximal, characteristic, complemented
13C37×#3320C211yesmaximal, characteristic, complemented
14C37×#3315C211yesmaximal, characteristic, complemented
15C37×#3312C211yesmaximal, characteristic, complemented
16C37×#3307C211yesmaximal, characteristic, complemented
17C37×#3301C211yesmaximal, characteristic, complemented
18C37×#3300C211yesmaximal, characteristic, complemented
19C37×#3236C211yesmaximal, characteristic, complemented
20C37×#3232C211yesmaximal, characteristic, complemented
21C37×#3204C211yesmaximal, characteristic, complemented
22C37×#3203C211yesmaximal, characteristic, complemented
23C37×#3201C211yesmaximal, characteristic, complemented
24C37×#3201C211yesmaximal, characteristic, complemented
25C37×#3111C211yesmaximal, characteristic, complemented
26C37×#3107C211yesmaximal, characteristic, complemented
27C37×#3099C211yesmaximal, characteristic, complemented
28C37×#3098C211yesmaximal, characteristic, complemented
29C37×#3097C211yesmaximal, characteristic, complemented
30C37×#3097C211yesmaximal, characteristic, complemented
31C37×#2981C211yesmaximal, characteristic, complemented
32C37×#562—21no—
33C37×#562—21no—
34C37×#555—21no—
35C37×#555C2211yescharacteristic
36C37×#554C2211yescharacteristic
37C37×#553—21no—
38C37×#553—21no—
39C37×#553—21no—
40C37×#553—21no—
41C37×#553—21no—
42C37×#553C2211yescharacteristic
43C37×#553C2211yescharacteristic
44C37×#553C2211yescharacteristic
45C37×#553C2211yescharacteristic
46C37×#552C2211yescharacteristic
47C37×#552C2211yescharacteristic
48C37×#552C2211yescharacteristic
49C37×#552C2211yescharacteristic
50C37×#552C2211yescharacteristic
51C37×#552C2211yescharacteristic
52D4×Q8×C37C2211yescharacteristic
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic
55C37×#547C2211yescharacteristic
56C37×#544—21no—
57C37×#542—21no—
58C37×#542—21no—
59C37×#541—21no—
60C37×#540—21no—
61C37×#540—21no—
62C37×#537C2211yescharacteristic
63C37×#537C2211yescharacteristic
64C37×#537C2211yescharacteristic
65C37×#537C2211yescharacteristic
66C37×#536C2211yescharacteristic
67C37×#536C2211yescharacteristic
68C37×#533C2211yescharacteristic
69C37×#532C2211yescharacteristic
70C37×#529—21no—
71C37×#529—21no—
72C37×#529C2211yescharacteristic
73C2×#125×C37C2211yescharacteristic
74C37×#520C2211yescharacteristic
75C37×#520C2211yescharacteristic
76C4×#41×C37C2211yescharacteristic
77C37×#501C2211yescharacteristic
78C37×#501C2211yescharacteristic
79C37×#499C2211yescharacteristic
80C37×#499C2211yescharacteristic
81C37×#491C2211yescharacteristic
82C37×#491C2211yescharacteristic
83C37×#488C2211yescharacteristic
84C37×#488C2211yescharacteristic
85C37×#485C2211yescharacteristic
86C37×#485C2211yescharacteristic
87C37×#485C2211yescharacteristic
88C37×#485C2211yescharacteristic
89C37×#485C2211yescharacteristic
90C37×#485C2211yescharacteristic
91C37×#485C2211yescharacteristic
92C37×#485C2211yescharacteristic
93C37×#485C2211yescharacteristic
94C37×#485C2211yescharacteristic
95C37×#485C2211yescharacteristic
96C37×#484C2211yescharacteristic
97C37×#484C2211yescharacteristic
98C37×#484C2211yescharacteristic
99C37×#484C2211yescharacteristic
100C37×#484C2211yescharacteristic
101C37×#484C2211yescharacteristic
102C37×#484C2211yescharacteristic
103C37×#483C2211yescharacteristic
104C37×#483C2211yescharacteristic
105C37×#483C2211yescharacteristic
106C37×#483C2211yescharacteristic
107C37×#483C2211yescharacteristic
108C37×#483C2211yescharacteristic
109C37×#483C2211yescharacteristic
110C37×#482C2211yescharacteristic
111C37×#482C2211yescharacteristic
112C37×#482C2211yescharacteristic
113C37×#482C2211yescharacteristic
114C37×#482C2211yescharacteristic
115C37×#481C2211yescharacteristic
116C37×#481C2211yescharacteristic
117C37×#481C2211yescharacteristic
118C37×#480C2211yescharacteristic
119C37×#480C2211yescharacteristic
120C37×#480C2211yescharacteristic
121C37×#479C2211yescharacteristic
122C37×#479C2211yescharacteristic
123C37×#479C2211yescharacteristic
124C37×#479C2211yescharacteristic
125C37×#479C2211yescharacteristic
126C37×#479C2211yescharacteristic
127C37×#479C2211yescharacteristic
128C37×#478C2211yescharacteristic
129C37×#478C2211yescharacteristic
130C37×#478C2211yescharacteristic
131C37×#475C2211yescharacteristic
132C37×#474C2211yescharacteristic
133C37×#470C2211yescharacteristic
134C37×#470C2211yescharacteristic
135C37×#470C2211yescharacteristic
136C37×#469C2211yescharacteristic
137C37×#468C2211yescharacteristic
138C37×#468C2211yescharacteristic
139C37×#468C2211yescharacteristic
140C37×#468C2211yescharacteristic
141C37×#467C2211yescharacteristic
142C37×#467C2211yescharacteristic
143C37×#467C2211yescharacteristic
144C37×#466C2211yescharacteristic
145C37×#465C2211yescharacteristic
146C37×#465C2211yescharacteristic
147C37×#465C2211yescharacteristic
148C37×#465C2211yescharacteristic
149C37×#464C2211yescharacteristic
150C37×#463C2211yescharacteristic
151C37×#462C2211yescharacteristic
152C37×#461C2211yescharacteristic
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic
156C37×#452C2211yescharacteristic
157C37×#452C2211yescharacteristic
158C37×#451C2211yescharacteristic
159C37×#451C2211yescharacteristic
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic
162C37×#449C2211yescharacteristic
163C37×#448C2211yescharacteristic
164C37×#448C2211yescharacteristic
165C37×#442C2211yescharacteristic
166C37×#441C2211yescharacteristic
167C37×#440C2211yescharacteristic
168C37×#440C2211yescharacteristic
169C4×Q16×C37C2211yescharacteristic
170C4×Q16×C37C2211yescharacteristic
171C4×SD16×C37C2211yescharacteristic
172C4×SD16×C37C2211yescharacteristic
173C37×#436C2211yescharacteristic
174C37×#436C2211yescharacteristic
175C37×#435C2211yescharacteristic
176C37×#435C2211yescharacteristic
177C37×#435C2211yescharacteristic
178C37×#435C2211yescharacteristic
179C8×D4×C37C2211yescharacteristic
180C8×D4×C37C2211yescharacteristic
181C37×#432C2211yescharacteristic
182C37×#431C2211yescharacteristic
183C37×#428C2211yescharacteristic
184C37×#428C2211yescharacteristic
185C37×#428C2211yescharacteristic
186C37×#428C2211yescharacteristic
187C37×#427C2211yescharacteristic
188C37×#427C2211yescharacteristic
189C2×#107×C37C2211yescharacteristic
190C2×#106×C37C2211yescharacteristic
191C37×#419C2211yescharacteristic
192C37×#419C2211yescharacteristic
193C37×#417C2211yescharacteristic
194C37×#417C2211yescharacteristic
195C37×#416C2211yescharacteristic
196C37×#416C2211yescharacteristic
197C2×#103×C37C2211yescharacteristic
198C2×#103×C37C2211yescharacteristic
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#408C2211yescharacteristic
202C37×#408C2211yescharacteristic
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C22×Q8×C37C2311yescharacteristic
210C2×Q16×C37C2311yescharacteristic
211C2×Q16×C37C2311yescharacteristic
212C2×Q16×C37C2311yescharacteristic
213C2×SD16×C37C2311yescharacteristic
214C2×SD16×C37C2311yescharacteristic
215C2×SD16×C37C2311yescharacteristic
216C2×SD16×C37C2311yescharacteristic
217C2×D8×C37C2311yescharacteristic
218C2×M16×C37C2311yescharacteristic
219C2×M16×C37C2311yescharacteristic
220C2×M16×C37C2311yescharacteristic
221C2×M16×C37C2311yescharacteristic
222C22×C8×C37C2311yescharacteristic
223C22×C8×C37C2311yescharacteristic
224C22×C8×C37C2311yescharacteristic
225C22×C8×C37C2311yescharacteristic
226C4⋊Q8×C37—21no—
227C4⋊Q8×C37—21no—
228C4⋊Q8×C37—21no—
229C4⋊Q8×C37D411yescharacteristic
230C4⋊Q8×C37C2311yescharacteristic
231C4⋊Q8×C37C2311yescharacteristic
232#127×C37D411yescharacteristic
233#126×C37—21no—
234#126×C37—21no—
235#126×C37—21no—
236#126×C37—21no—
237#126×C37—21no—
238#126×C37—21no—
239#126×C37—21no—
240#126×C37—21no—
241#126×C37—21no—
242#126×C37—21no—
243#126×C37—21no—
244#125×C37—21no—
245#125×C37—21no—
246#125×C37—21no—
247#125×C37—21no—
248#125×C37—21no—
249#125×C37—21no—
250#125×C37—21no—
251#125×C37—21no—
252#125×C37—21no—
253#125×C37—21no—
254#125×C37C2311yescharacteristic
255#125×C37C2311yescharacteristic
256#125×C37C2311yescharacteristic
257#125×C37C2311yescharacteristic
258#125×C37C2311yescharacteristic
259#124×C37—21no—
260#124×C37—21no—
261#124×C37—21no—
262#124×C37—21no—
263#124×C37—21no—
264#124×C37—21no—
265#124×C37D411yescharacteristic
266#124×C37D411yescharacteristic
267#124×C37C2311yescharacteristic
268#123×C37—21no—
269#123×C37—21no—
270#123×C37—21no—
271#123×C37—21no—
272#123×C37—21no—
273#123×C37—21no—
274#123×C37—21no—
275#123×C37—21no—
276#123×C37—21no—
277#123×C37—21no—
278#123×C37—21no—
279#123×C37—21no—
280#123×C37—21no—
281#123×C37—21no—
282#123×C37—21no—
283#123×C37—21no—
284#123×C37—21no—
285C22⋊Q8×C37—21no—
286C22⋊Q8×C37—21no—
287C22⋊Q8×C37—21no—
288C22⋊Q8×C37—21no—
289C22⋊Q8×C37—21no—
290C22⋊Q8×C37—21no—
291C22⋊Q8×C37—21no—
292C22⋊Q8×C37—21no—
293C22⋊Q8×C37—21no—
294C22⋊Q8×C37—21no—
295C22⋊Q8×C37—21no—
296C22⋊Q8×C37C2311yescharacteristic
297C22⋊Q8×C37C2311yescharacteristic
298C22⋊Q8×C37C2311yescharacteristic
299C22⋊Q8×C37C2311yescharacteristic
300C22⋊Q8×C37C2311yescharacteristic
301C22⋊Q8×C37C2311yescharacteristic
302C22⋊Q8×C37C2311yescharacteristic
303C22⋊Q8×C37C2311yescharacteristic
304C22⋊Q8×C37C2311yescharacteristic
305C22⋊Q8×C37C2311yescharacteristic
306C22⋊Q8×C37C2311yescharacteristic
307C22⋊Q8×C37C2311yescharacteristic
308C22⋊Q8×C37C2311yescharacteristic
309#121×C37—21no—
310#121×C37—21no—
311#121×C37—21no—
312#121×C37—21no—
313#121×C37—21no—
314#121×C37—21no—
315#121×C37—21no—
316#121×C37—21no—
317#121×C37—21no—
318#121×C37—21no—
319#121×C37—21no—
320#121×C37—21no—
321#121×C37—21no—
322#121×C37—21no—
323#121×C37—21no—
324#121×C37—21no—
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37D411yescharacteristic
330#121×C37D411yescharacteristic
331#121×C37D411yescharacteristic
332#121×C37D411yescharacteristic
333#121×C37C2311yescharacteristic
334#121×C37C2311yescharacteristic
335#121×C37C2311yescharacteristic
336#121×C37C2311yescharacteristic
337#121×C37C2311yescharacteristic
338#121×C37C2311yescharacteristic
339#121×C37C2311yescharacteristic
340C4×Q8×C37—21no—
341C4×Q8×C37—21no—
342C4×Q8×C37—21no—
343C4×Q8×C37C2311yescharacteristic
344C4×Q8×C37C2311yescharacteristic
345C4×Q8×C37C2311yescharacteristic
346C4×Q8×C37C2311yescharacteristic
347C4×Q8×C37C2311yescharacteristic
348C4×D4×C37—21no—
349C4×D4×C37—21no—
350C4×D4×C37—21no—
351C4×D4×C37—21no—
352C4×D4×C37—21no—
353C4×D4×C37—21no—
354C4×D4×C37—21no—
355C4×D4×C37—21no—
356C4×D4×C37—21no—
357C4×D4×C37—21no—
358C4×D4×C37—21no—
359C4×D4×C37—21no—
360C4×D4×C37—21no—
361C4×D4×C37—21no—
362C4×D4×C37—21no—
363C4×D4×C37—21no—
364C4×D4×C37—21no—
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369C4×D4×C37C2311yescharacteristic
370C4×D4×C37C2311yescharacteristic
371C4×D4×C37C2311yescharacteristic
372#117×C37—21no—
373#117×C37—21no—
374#117×C37—21no—
375#117×C37—21no—
376#117×C37—21no—
377#117×C37—21no—
378#117×C37—21no—
379#117×C37—21no—
380#117×C37—21no—
381#117×C37—21no—
382#117×C37C2311yescharacteristic
383#117×C37C2311yescharacteristic
384#117×C37C2311yescharacteristic
385#117×C37C2311yescharacteristic
386#117×C37C2311yescharacteristic
387#117×C37C2311yescharacteristic
388#117×C37C2311yescharacteristic
389C2×C4⋊C4×C37—21no—
390C2×C4⋊C4×C37—21no—
391C2×C4⋊C4×C37—21no—
392C2×C4⋊C4×C37C2311yescharacteristic
393C2×C4⋊C4×C37C2311yescharacteristic
394C2×C4⋊C4×C37C2311yescharacteristic
395C2×C4⋊C4×C37C2311yescharacteristic
396C2×C4⋊C4×C37C2311yescharacteristic
397C2×C4⋊C4×C37C2311yescharacteristic
398C2×C4⋊C4×C37C2311yescharacteristic
399C2×C4⋊C4×C37C2311yescharacteristic
400C2×C42×C37—21no—
401C2×C42×C37C2311yescharacteristic
402#107×C37C2311yescharacteristic
403#107×C37C2311yescharacteristic
404#107×C37C2311yescharacteristic
405#107×C37C2311yescharacteristic
406#107×C37C2311yescharacteristic
407#107×C37C2311yescharacteristic
408#107×C37C2311yescharacteristic
409#107×C37C2311yescharacteristic
410#107×C37C2311yescharacteristic
411#107×C37C2311yescharacteristic
412#107×C37C2311yescharacteristic
413#107×C37C2311yescharacteristic
414#106×C37C2311yescharacteristic
415#106×C37C2311yescharacteristic
416#106×C37C2311yescharacteristic
417#106×C37C2311yescharacteristic
418#106×C37C2311yescharacteristic
419#106×C37C2311yescharacteristic
420#106×C37C2311yescharacteristic
421#106×C37C2311yescharacteristic
422#106×C37C2311yescharacteristic
423#106×C37C2311yescharacteristic
424#106×C37C2311yescharacteristic
425#106×C37C2311yescharacteristic
426C4⋊C8×C37C2311yescharacteristic
427C4⋊C8×C37C2311yescharacteristic
428C4⋊C8×C37C2311yescharacteristic
429C4⋊C8×C37C2311yescharacteristic
430#103×C37C2311yescharacteristic
431#103×C37C2311yescharacteristic
432#103×C37C2311yescharacteristic
433#103×C37C2311yescharacteristic
434#103×C37C2311yescharacteristic
435#103×C37C2311yescharacteristic
436#103×C37C2311yescharacteristic
437#103×C37C2311yescharacteristic
438#103×C37C2311yescharacteristic
439#103×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#102×C37C2311yescharacteristic
453#102×C37C2311yescharacteristic
454#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462C22⋊C8×C37C2311yescharacteristic
463C22⋊C8×C37C2311yescharacteristic
464C22⋊C8×C37C2311yescharacteristic
465C22⋊C8×C37C2311yescharacteristic
466C22⋊C8×C37C2311yescharacteristic
467C22⋊C8×C37C2311yescharacteristic
468C22⋊C8×C37C2311yescharacteristic
469C22⋊C8×C37C2311yescharacteristic
470C22⋊C8×C37C2311yescharacteristic
471C22⋊C8×C37C2311yescharacteristic
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474#97×C37C2311yescharacteristic
475#97×C37C2311yescharacteristic
476C4×C8×C37C2311yescharacteristic
477C4×C8×C37C2311yescharacteristic
478#41×C37—41no—
479#41×C37—41no—
480#41×C37—41no—
481#41×C37—41no—
482#41×C37—41no—
483#41×C37—41no—
484#41×C37—41no—
485#41×C37—41no—
486#41×C37—41no—
487#41×C37—41no—
488C2×Q8×C37—21no—
489C2×Q8×C37—21no—
490C2×Q8×C37—21no—
491C2×Q8×C37—41no—
492C2×Q8×C37—41no—
493C2×Q8×C37—41no—
494C2×Q8×C37—41no—
495C2×Q8×C37C2×D411yescharacteristic
496C2×Q8×C37C2×D411yescharacteristic
497C2×Q8×C37C2411yescharacteristic
498C2×Q8×C37C2411yescharacteristic
499C2×Q8×C37C2411yescharacteristic
500C2×Q8×C37C2411yescharacteristic
501C2×D4×C37—21no—
502C2×D4×C37—21no—
503C2×D4×C37—21no—
504C2×D4×C37—21no—
505C2×D4×C37—21no—
506C2×D4×C37—21no—
507C2×D4×C37—21no—
508C2×D4×C37—21no—
509C2×D4×C37—21no—
510C2×D4×C37—21no—
511C2×D4×C37C2×D411yescharacteristic
512C2×D4×C37C2×D411yescharacteristic
513C2×D4×C37C2×D411yescharacteristic
514C2×D4×C37C2×D411yescharacteristic
515C2×D4×C37C2×D411yescharacteristic
516C2×D4×C37C2×D411yescharacteristic
517C2×D4×C37C2×D411yescharacteristic
518C2×D4×C37C2×D411yescharacteristic
519C2×D4×C37C2×D411yescharacteristic
520C2×D4×C37C2×D411yescharacteristic
521C2×D4×C37C2411yescharacteristic
522C2×D4×C37C2411yescharacteristic
523C22×C4×C37—21no—
524C22×C4×C37—21no—
525C22×C4×C37—21no—
526C22×C4×C37—21no—
527C22×C4×C37—21no—
528C22×C4×C37—21no—
529C22×C4×C37—21no—
530C22×C4×C37—21no—
531C22×C4×C37—21no—
532C22×C4×C37—21no—
533C22×C4×C37—21no—
534C22×C4×C37—21no—
535C22×C4×C37—21no—
536C22×C4×C37—21no—
537C22×C4×C37—21no—
538C22×C4×C37—21no—
539C22×C4×C37C2×D411yescharacteristic
540C22×C4×C37C2×D411yescharacteristic
541C22×C4×C37C2411yescharacteristic
542C22×C4×C37C2411yescharacteristic
543C22×C4×C37C2411yescharacteristic
544C22×C4×C37C2411yescharacteristic
545C22×C4×C37C2411yescharacteristic
546Q16×C37—41no—
547Q16×C37—41no—
548Q16×C37—41no—
549SD16×C37—41no—
550SD16×C37—41no—
551SD16×C37—41no—
552SD16×C37—41no—
553D8×C37—41no—
554M16×C37—41no—
555M16×C37—41no—
556M16×C37—41no—
557M16×C37—41no—
558C2×C8×C37—41no—
559C2×C8×C37—41no—
560C2×C8×C37—41no—
561C2×C8×C37—41no—
562C2×C8×C37C2411yescharacteristic
563C2×C8×C37C2411yescharacteristic
564C2×C8×C37C2411yescharacteristic
565C2×C8×C37C2411yescharacteristic
566C2×C8×C37C2411yescharacteristic
567C2×C8×C37C2411yescharacteristic
568C2×C8×C37C2411yescharacteristic
569C2×C8×C37C2411yescharacteristic
570C4⋊C4×C37—21no—
571C4⋊C4×C37—21no—
572C4⋊C4×C37—21no—
573C4⋊C4×C37—21no—
574C4⋊C4×C37—21no—
575C4⋊C4×C37—21no—
576C4⋊C4×C37—21no—
577C4⋊C4×C37—21no—
578C4⋊C4×C37—21no—
579C4⋊C4×C37—21no—
580C4⋊C4×C37—21no—
581C4⋊C4×C37—21no—
582C4⋊C4×C37—21no—
583C4⋊C4×C37—21no—
584C4⋊C4×C37—21no—
585C4⋊C4×C37—21no—
586C4⋊C4×C37—21no—
587C4⋊C4×C37—21no—
588C4⋊C4×C37—21no—
589C4⋊C4×C37—21no—
590C4⋊C4×C37—21no—
591C4⋊C4×C37—21no—
592C4⋊C4×C37—21no—
593C4⋊C4×C37—21no—
594C4⋊C4×C37—21no—
595C4⋊C4×C37—21no—
596C4⋊C4×C37—21no—
597C4⋊C4×C37—21no—
598C4⋊C4×C37—21no—
599C4⋊C4×C37—21no—
600C4⋊C4×C37—21no—
601C4⋊C4×C37—21no—
602C4⋊C4×C37—21no—
603C4⋊C4×C37—21no—
604C4⋊C4×C37—21no—
605C4⋊C4×C37—21no—
606C4⋊C4×C37—21no—
607C4⋊C4×C37—21no—
608C4⋊C4×C37—21no—
609C4⋊C4×C37C2×D411yescharacteristic
610C4⋊C4×C37C2×D411yescharacteristic
611C4⋊C4×C37C2×D411yescharacteristic
612C4⋊C4×C37C2×D411yescharacteristic
613C4⋊C4×C37C2411yescharacteristic
614C4⋊C4×C37C2411yescharacteristic
615C4⋊C4×C37C2411yescharacteristic
616C4⋊C4×C37C2411yescharacteristic
617C4⋊C4×C37C2411yescharacteristic
618C4⋊C4×C37C2411yescharacteristic
619C4⋊C4×C37C2411yescharacteristic
620C4⋊C4×C37C2411yescharacteristic
621C4⋊C4×C37C2411yescharacteristic
622C4⋊C4×C37C2411yescharacteristic
623C22⋊C4×C37—21no—
624C22⋊C4×C37—21no—
625C22⋊C4×C37—21no—
626C22⋊C4×C37—21no—
627C22⋊C4×C37—21no—
628C22⋊C4×C37—21no—
629C22⋊C4×C37—21no—
630C22⋊C4×C37—21no—
631C22⋊C4×C37—21no—
632C22⋊C4×C37—21no—
633C22⋊C4×C37—21no—
634C22⋊C4×C37—21no—
635C22⋊C4×C37—21no—
636C22⋊C4×C37—21no—
637C22⋊C4×C37—21no—
638C22⋊C4×C37—21no—
639C22⋊C4×C37—21no—
640C22⋊C4×C37—21no—
641C22⋊C4×C37—21no—
642C22⋊C4×C37—21no—
643C22⋊C4×C37—21no—
644C22⋊C4×C37—21no—
645C22⋊C4×C37—21no—
646C22⋊C4×C37—21no—
647C22⋊C4×C37—21no—
648C22⋊C4×C37—21no—
649C22⋊C4×C37—21no—
650C22⋊C4×C37—21no—
651C22⋊C4×C37—21no—
652C22⋊C4×C37—21no—
653C22⋊C4×C37—21no—
654C22⋊C4×C37—21no—
655C22⋊C4×C37C2×D411yescharacteristic
656C22⋊C4×C37C2×D411yescharacteristic
657C22⋊C4×C37C2×D411yescharacteristic
658C22⋊C4×C37C2×D411yescharacteristic
659C22⋊C4×C37C2×D411yescharacteristic
660C22⋊C4×C37C2×D411yescharacteristic
661C22⋊C4×C37C2×D411yescharacteristic
662C22⋊C4×C37C2×D411yescharacteristic
663C42×C37—21no—
664C42×C37—21no—
665C42×C37—21no—
666C42×C37—21no—
667C42×C37—21no—
668C42×C37—21no—
669C42×C37—21no—
670C42×C37—21no—
671C42×C37—21no—
672C42×C37—21no—
673C42×C37—21no—
674C42×C37—21no—
675C42×C37C2×D411yescharacteristic
676C42×C37C2×D411yescharacteristic
677C42×C37C2411yescharacteristic
678C42×C37C2411yescharacteristic
679C23×C37—21no—
680C23×C37—21no—
681C23×C37C22×D411yescharacteristic
682C23×C37C22×D411yescharacteristic
683C23×C37C22×D411yescharacteristic
684C23×C37C22×D411yescharacteristic
685C23×C37C22×D411yescharacteristic
686Q8×C37—21no—
687Q8×C37—21no—
688Q8×C37—21no—
689Q8×C37—21no—
690Q8×C37—21no—
691Q8×C37—21no—
692Q8×C37—21no—
693Q8×C37—21no—
694Q8×C37—41no—
695Q8×C37—41no—
696Q8×C37—81no—
697Q8×C37—81no—
698Q8×C37—81no—
699D4×C37—21no—
700D4×C37—21no—
701D4×C37—21no—
702D4×C37—21no—
703D4×C37—41no—
704D4×C37—41no—
705D4×C37—41no—
706D4×C37—41no—
707D4×C37—41no—
708D4×C37—41no—
709D4×C37—41no—
710D4×C37—41no—
711D4×C37—41no—
712D4×C37—41no—
713D4×C37—42no—
714D4×C37—81no—
715D4×C37—81no—
716D4×C37—81no—
717D4×C37—81no—
718D4×C37—81no—
719D4×C37—81no—
720D4×C37—81no—
721D4×C37—81no—
722D4×C37—81no—
723C2×C4×C37—21no—
724C2×C4×C37—21no—
725C2×C4×C37—21no—
726C2×C4×C37—21no—
727C2×C4×C37—21no—
728C2×C4×C37—21no—
729C2×C4×C37—21no—
730C2×C4×C37—21no—
731C2×C4×C37—21no—
732C2×C4×C37—21no—
733C2×C4×C37—21no—
734C2×C4×C37—21no—
735C2×C4×C37—21no—
736C2×C4×C37—21no—
737C2×C4×C37—21no—
738C2×C4×C37—21no—
739C2×C4×C37—21no—
740C2×C4×C37—21no—
741C2×C4×C37—21no—
742C2×C4×C37—21no—
743C2×C4×C37—21no—
744C2×C4×C37—21no—
745C2×C4×C37—21no—
746C2×C4×C37—21no—
747C2×C4×C37—41no—
748C2×C4×C37—41no—
749C2×C4×C37—42no—
750C2×C4×C37—42no—
751C2×C4×C37—81no—
752C2×C4×C37—81no—
753C2×C4×C37—81no—
754C2×C4×C37—81no—
755C2×C4×C37—81no—
756C2×C4×C37—81no—
757C2×C4×C37—81no—
758C2×C4×C37—81no—
759C2×C4×C37—81no—
760C2×C4×C37—81no—
761C2×C4×C37—81no—
762C2×C4×C37—81no—
763C2×C4×C37—81no—
764C2×C4×C37—81no—
765C2×C4×C37C22×D411yescharacteristic
766C2×C4×C37C22×D411yescharacteristic
767C2×C4×C37C22×D411yescharacteristic
768C2×C4×C37C22×D411yescharacteristic
769C2×C4×C37C22×D411yescharacteristic
770C2×C4×C37C22×D411yescharacteristic
771C2×C4×C37C22×D411yescharacteristic
772C2×C4×C37C22×D411yescharacteristic
773C2×C4×C37C22×D411yescharacteristic
774C2×C4×C37C2511yescharacteristic
775C8×C37—21no—
776C8×C37—21no—
777C8×C37—21no—
778C8×C37—21no—
779C8×C37—21no—
780C8×C37—21no—
781C8×C37—21no—
782C8×C37—21no—
783#61814C3711yesmaximal, characteristic, direct product factor, Sylow
784C22×C37—21no—
785C22×C37—21no—
786C22×C37—21no—
787C22×C37—21no—
788C22×C37—21no—
789C22×C37—21no—
790C22×C37—21no—
791C22×C37—21no—
792C22×C37—21no—
793C22×C37—21no—
794C22×C37—21no—
795C22×C37—21no—
796C22×C37—21no—
797C22×C37—21no—
798C22×C37—21no—
799C22×C37—41no—
800C22×C37—41no—
801C22×C37—41no—
802C22×C37—41no—
803C22×C37—41no—
804C22×C37—41no—
805C22×C37C23×D411yescharacteristic
806C4×C37—21no—
807C4×C37—21no—
808C4×C37—21no—
809C4×C37—21no—
810C4×C37—21no—
811C4×C37—21no—
812C4×C37—21no—
813C4×C37—21no—
814C4×C37—21no—
815C4×C37—41no—
816C4×C37—41no—
817C4×C37—41no—
818C4×C37—41no—
819C4×C37—41no—
820C4×C37—41no—
821C4×C37—41no—
822C4×C37—41no—
823C4×C37—41no—
824C4×C37—41no—
825C4×C37—41no—
826C4×C37—41no—
827C4×C37—41no—
828C4×C37—41no—
829C4×C37#58511yescharacteristic
830C4×C37#58511yescharacteristic
831#3547C2×C3711yescharacteristic, complemented
832#3512C2×C3711yescharacteristic, complemented
833#3352C2×C3711yescharacteristic, complemented
834#3351C2×C3711yescharacteristic, complemented
835#3348C2×C3711yescharacteristic, complemented
836#3347C2×C3711yescharacteristic, complemented
837#3346C2×C3711yescharacteristic, complemented
838#3344C2×C3711yescharacteristic, complemented
839#3337C2×C3711yescharacteristic, complemented
840#3336C2×C3711yescharacteristic, complemented
841#3327C2×C3711yescharacteristic, complemented
842#3326C2×C3711yescharacteristic, complemented
843#3320C2×C3711yescharacteristic, complemented
844#3315C2×C3711yescharacteristic, complemented
845#3312C2×C3711yescharacteristic, complemented
846#3307C2×C3711yescharacteristic, complemented
847#3301C2×C3711yescharacteristic, complemented
848#3300C2×C3711yescharacteristic, complemented
849#3236C2×C3711yescharacteristic, complemented
850#3232C2×C3711yescharacteristic, complemented
851#3204C2×C3711yescharacteristic, complemented
852#3203C2×C3711yescharacteristic, complemented
853#3201C2×C3711yescharacteristic, complemented
854#3201C2×C3711yescharacteristic, complemented
855#3111C2×C3711yescharacteristic, complemented
856#3107C2×C3711yescharacteristic, complemented
857#3099C2×C3711yescharacteristic, complemented
858#3098C2×C3711yescharacteristic, complemented
859#3097C2×C3711yescharacteristic, complemented
860#3097C2×C3711yescharacteristic, complemented
861#2981C2×C3711yescharacteristic, complemented
862C2×C37—41no—
863C2×C37—41no—
864C2×C37—41no—
865C2×C37—41no—
866C2×C37—41no—
867C2×C37—81no—
868C2×C37—81no—
869C2×C37#348511yescharacteristic
870C2×C37#358411yescharacteristic
871C2×C37#358611yescharacteristic
872#562—21no—
873#562—21no—
874#555—21no—
875#555C22×C3711yescharacteristic
876#554C22×C3711yescharacteristic
877#553—21no—
878#553—21no—
879#553—21no—
880#553—21no—
881#553—21no—
882#553C22×C3711yescharacteristic
883#553C22×C3711yescharacteristic
884#553C22×C3711yescharacteristic
885#553C22×C3711yescharacteristic
886#552C22×C3711yescharacteristic
887#552C22×C3711yescharacteristic
888#552C22×C3711yescharacteristic
889#552C22×C3711yescharacteristic
890#552C22×C3711yescharacteristic
891#552C22×C3711yescharacteristic
892D4×Q8C22×C3711yescharacteristic
893#548C22×C3711yescharacteristic
894#548C22×C3711yescharacteristic
895#547C22×C3711yescharacteristic
896#544—21no—
897#542—21no—
898#542—21no—
899#541—21no—
900#540—21no—
901#540—21no—
902#537C22×C3711yescharacteristic
903#537C22×C3711yescharacteristic
904#537C22×C3711yescharacteristic
905#537C22×C3711yescharacteristic
906#536C22×C3711yescharacteristic
907#536C22×C3711yescharacteristic
908#533C22×C3711yescharacteristic
909#532C22×C3711yescharacteristic
910#529—21no—
911#529—21no—
912#529C22×C3711yescharacteristic
913C2×#125C22×C3711yescharacteristic
914#520C22×C3711yescharacteristic
915#520C22×C3711yescharacteristic
916C4×#41C22×C3711yescharacteristic
917#501C22×C3711yescharacteristic
918#501C22×C3711yescharacteristic
919#499C22×C3711yescharacteristic
920#499C22×C3711yescharacteristic
921#491C22×C3711yescharacteristic
922#491C22×C3711yescharacteristic
923#488C22×C3711yescharacteristic
924#488C22×C3711yescharacteristic
925#485C22×C3711yescharacteristic
926#485C22×C3711yescharacteristic
927#485C22×C3711yescharacteristic
928#485C22×C3711yescharacteristic
929#485C22×C3711yescharacteristic
930#485C22×C3711yescharacteristic
931#485C22×C3711yescharacteristic
932#485C22×C3711yescharacteristic
933#485C22×C3711yescharacteristic
934#485C22×C3711yescharacteristic
935#485C22×C3711yescharacteristic
936#484C22×C3711yescharacteristic
937#484C22×C3711yescharacteristic
938#484C22×C3711yescharacteristic
939#484C22×C3711yescharacteristic
940#484C22×C3711yescharacteristic
941#484C22×C3711yescharacteristic
942#484C22×C3711yescharacteristic
943#483C22×C3711yescharacteristic
944#483C22×C3711yescharacteristic
945#483C22×C3711yescharacteristic
946#483C22×C3711yescharacteristic
947#483C22×C3711yescharacteristic
948#483C22×C3711yescharacteristic
949#483C22×C3711yescharacteristic
950#482C22×C3711yescharacteristic
951#482C22×C3711yescharacteristic
952#482C22×C3711yescharacteristic
953#482C22×C3711yescharacteristic
954#482C22×C3711yescharacteristic
955#481C22×C3711yescharacteristic
956#481C22×C3711yescharacteristic
957#481C22×C3711yescharacteristic
958#480C22×C3711yescharacteristic
959#480C22×C3711yescharacteristic
960#480C22×C3711yescharacteristic
961#479C22×C3711yescharacteristic
962#479C22×C3711yescharacteristic
963#479C22×C3711yescharacteristic
964#479C22×C3711yescharacteristic
965#479C22×C3711yescharacteristic
966#479C22×C3711yescharacteristic
967#479C22×C3711yescharacteristic
968#478C22×C3711yescharacteristic
969#478C22×C3711yescharacteristic
970#478C22×C3711yescharacteristic
971#475C22×C3711yescharacteristic
972#474C22×C3711yescharacteristic
973#470C22×C3711yescharacteristic
974#470C22×C3711yescharacteristic
975#470C22×C3711yescharacteristic
976#469C22×C3711yescharacteristic
977#468C22×C3711yescharacteristic
978#468C22×C3711yescharacteristic
979#468C22×C3711yescharacteristic
980#468C22×C3711yescharacteristic
981#467C22×C3711yescharacteristic
982#467C22×C3711yescharacteristic
983#467C22×C3711yescharacteristic
984#466C22×C3711yescharacteristic
985#465C22×C3711yescharacteristic
986#465C22×C3711yescharacteristic
987#465C22×C3711yescharacteristic
988#465C22×C3711yescharacteristic
989#464C22×C3711yescharacteristic
990#463C22×C3711yescharacteristic
991#462C22×C3711yescharacteristic
992#461C22×C3711yescharacteristic
993#452C22×C3711yescharacteristic
994#452C22×C3711yescharacteristic
995#452C22×C3711yescharacteristic
996#452C22×C3711yescharacteristic
997#452C22×C3711yescharacteristic
998#451C22×C3711yescharacteristic
999#451C22×C3711yescharacteristic
1000#449C22×C3711yescharacteristic
1001#449C22×C3711yescharacteristic
1002#449C22×C3711yescharacteristic
1003#448C22×C3711yescharacteristic
1004#448C22×C3711yescharacteristic
1005#442C22×C3711yescharacteristic
1006#441C22×C3711yescharacteristic
1007#440C22×C3711yescharacteristic
1008#440C22×C3711yescharacteristic
1009C4×Q16C22×C3711yescharacteristic
1010C4×Q16C22×C3711yescharacteristic
1011C4×SD16C22×C3711yescharacteristic
1012C4×SD16C22×C3711yescharacteristic
1013#436C22×C3711yescharacteristic
1014#436C22×C3711yescharacteristic
1015#435C22×C3711yescharacteristic
1016#435C22×C3711yescharacteristic
1017#435C22×C3711yescharacteristic
1018#435C22×C3711yescharacteristic
1019C8×D4C22×C3711yescharacteristic
1020C8×D4C22×C3711yescharacteristic
1021#432C22×C3711yescharacteristic
1022#431C22×C3711yescharacteristic
1023#428C22×C3711yescharacteristic
1024#428C22×C3711yescharacteristic
1025#428C22×C3711yescharacteristic
1026#428C22×C3711yescharacteristic
1027#427C22×C3711yescharacteristic
1028#427C22×C3711yescharacteristic
1029C2×#107C22×C3711yescharacteristic
1030C2×#106C22×C3711yescharacteristic
1031#419C22×C3711yescharacteristic
1032#419C22×C3711yescharacteristic
1033#417C22×C3711yescharacteristic
1034#417C22×C3711yescharacteristic
1035#416C22×C3711yescharacteristic
1036#416C22×C3711yescharacteristic
1037C2×#103C22×C3711yescharacteristic
1038C2×#103C22×C3711yescharacteristic
1039#408C22×C3711yescharacteristic
1040#408C22×C3711yescharacteristic
1041#408C22×C3711yescharacteristic
1042#408C22×C3711yescharacteristic
1043C37#6181411yescharacteristic, direct product factor, Sylow
1044C2×#41C23×C3711yescharacteristic
1045C2×#41C23×C3711yescharacteristic
1046C2×#41C23×C3711yescharacteristic
1047C2×#41C23×C3711yescharacteristic
1048C2×#41C23×C3711yescharacteristic
1049C22×Q8C23×C3711yescharacteristic
1050C22×Q8C23×C3711yescharacteristic
1051C2×Q16C23×C3711yescharacteristic
1052C2×Q16C23×C3711yescharacteristic
1053C2×Q16C23×C3711yescharacteristic
1054C2×SD16C23×C3711yescharacteristic
1055C2×SD16C23×C3711yescharacteristic
1056C2×SD16C23×C3711yescharacteristic
1057C2×SD16C23×C3711yescharacteristic
1058C2×D8C23×C3711yescharacteristic
1059C2×M16C23×C3711yescharacteristic
1060C2×M16C23×C3711yescharacteristic
1061C2×M16C23×C3711yescharacteristic
1062C2×M16C23×C3711yescharacteristic
1063C22×C8C23×C3711yescharacteristic
1064C22×C8C23×C3711yescharacteristic
1065C22×C8C23×C3711yescharacteristic
1066C22×C8C23×C3711yescharacteristic
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8D4×C3711yescharacteristic
1071C4⋊Q8C23×C3711yescharacteristic
1072C4⋊Q8C23×C3711yescharacteristic
1073#127D4×C3711yescharacteristic
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125C23×C3711yescharacteristic
1096#125C23×C3711yescharacteristic
1097#125C23×C3711yescharacteristic
1098#125C23×C3711yescharacteristic
1099#125C23×C3711yescharacteristic
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124D4×C3711yescharacteristic
1107#124D4×C3711yescharacteristic
1108#124C23×C3711yescharacteristic
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8C23×C3711yescharacteristic
1138C22⋊Q8C23×C3711yescharacteristic
1139C22⋊Q8C23×C3711yescharacteristic
1140C22⋊Q8C23×C3711yescharacteristic
1141C22⋊Q8C23×C3711yescharacteristic
1142C22⋊Q8C23×C3711yescharacteristic
1143C22⋊Q8C23×C3711yescharacteristic
1144C22⋊Q8C23×C3711yescharacteristic
1145C22⋊Q8C23×C3711yescharacteristic
1146C22⋊Q8C23×C3711yescharacteristic
1147C22⋊Q8C23×C3711yescharacteristic
1148C22⋊Q8C23×C3711yescharacteristic
1149C22⋊Q8C23×C3711yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121D4×C3711yescharacteristic
1171#121D4×C3711yescharacteristic
1172#121D4×C3711yescharacteristic
1173#121D4×C3711yescharacteristic
1174#121C23×C3711yescharacteristic
1175#121C23×C3711yescharacteristic
1176#121C23×C3711yescharacteristic
1177#121C23×C3711yescharacteristic
1178#121C23×C3711yescharacteristic
1179#121C23×C3711yescharacteristic
1180#121C23×C3711yescharacteristic
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8C23×C3711yescharacteristic
1185C4×Q8C23×C3711yescharacteristic
1186C4×Q8C23×C3711yescharacteristic
1187C4×Q8C23×C3711yescharacteristic
1188C4×Q8C23×C3711yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4C23×C3711yescharacteristic
1207C4×D4C23×C3711yescharacteristic
1208C4×D4C23×C3711yescharacteristic
1209C4×D4C23×C3711yescharacteristic
1210C4×D4C23×C3711yescharacteristic
1211C4×D4C23×C3711yescharacteristic
1212C4×D4C23×C3711yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117C23×C3711yescharacteristic
1224#117C23×C3711yescharacteristic
1225#117C23×C3711yescharacteristic
1226#117C23×C3711yescharacteristic
1227#117C23×C3711yescharacteristic
1228#117C23×C3711yescharacteristic
1229#117C23×C3711yescharacteristic
1230C2×C4⋊C4—21no—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4C23×C3711yescharacteristic
1234C2×C4⋊C4C23×C3711yescharacteristic
1235C2×C4⋊C4C23×C3711yescharacteristic
1236C2×C4⋊C4C23×C3711yescharacteristic
1237C2×C4⋊C4C23×C3711yescharacteristic
1238C2×C4⋊C4C23×C3711yescharacteristic
1239C2×C4⋊C4C23×C3711yescharacteristic
1240C2×C4⋊C4C23×C3711yescharacteristic
1241C2×C42—21no—
1242C2×C42C23×C3711yescharacteristic
1243#107C23×C3711yescharacteristic
1244#107C23×C3711yescharacteristic
1245#107C23×C3711yescharacteristic
1246#107C23×C3711yescharacteristic
1247#107C23×C3711yescharacteristic
1248#107C23×C3711yescharacteristic
1249#107C23×C3711yescharacteristic
1250#107C23×C3711yescharacteristic
1251#107C23×C3711yescharacteristic
1252#107C23×C3711yescharacteristic
1253#107C23×C3711yescharacteristic
1254#107C23×C3711yescharacteristic
1255#106C23×C3711yescharacteristic
1256#106C23×C3711yescharacteristic
1257#106C23×C3711yescharacteristic
1258#106C23×C3711yescharacteristic
1259#106C23×C3711yescharacteristic
1260#106C23×C3711yescharacteristic
1261#106C23×C3711yescharacteristic
1262#106C23×C3711yescharacteristic
1263#106C23×C3711yescharacteristic
1264#106C23×C3711yescharacteristic
1265#106C23×C3711yescharacteristic
1266#106C23×C3711yescharacteristic
1267C4⋊C8C23×C3711yescharacteristic
1268C4⋊C8C23×C3711yescharacteristic
1269C4⋊C8C23×C3711yescharacteristic
1270C4⋊C8C23×C3711yescharacteristic
1271#103C23×C3711yescharacteristic
1272#103C23×C3711yescharacteristic
1273#103C23×C3711yescharacteristic
1274#103C23×C3711yescharacteristic
1275#103C23×C3711yescharacteristic
1276#103C23×C3711yescharacteristic
1277#103C23×C3711yescharacteristic
1278#103C23×C3711yescharacteristic
1279#103C23×C3711yescharacteristic
1280#103C23×C3711yescharacteristic
1281#103C23×C3711yescharacteristic
1282#103C23×C3711yescharacteristic
1283#103C23×C3711yescharacteristic
1284#103C23×C3711yescharacteristic
1285#103C23×C3711yescharacteristic
1286#103C23×C3711yescharacteristic
1287#103C23×C3711yescharacteristic
1288#103C23×C3711yescharacteristic
1289#103C23×C3711yescharacteristic
1290#103C23×C3711yescharacteristic
1291#103C23×C3711yescharacteristic
1292#103C23×C3711yescharacteristic
1293#102C23×C3711yescharacteristic
1294#102C23×C3711yescharacteristic
1295#102C23×C3711yescharacteristic
1296#102C23×C3711yescharacteristic
1297#102C23×C3711yescharacteristic
1298#102C23×C3711yescharacteristic
1299#102C23×C3711yescharacteristic
1300#102C23×C3711yescharacteristic
1301#102C23×C3711yescharacteristic
1302#102C23×C3711yescharacteristic
1303C22⋊C8C23×C3711yescharacteristic
1304C22⋊C8C23×C3711yescharacteristic
1305C22⋊C8C23×C3711yescharacteristic
1306C22⋊C8C23×C3711yescharacteristic
1307C22⋊C8C23×C3711yescharacteristic
1308C22⋊C8C23×C3711yescharacteristic
1309C22⋊C8C23×C3711yescharacteristic
1310C22⋊C8C23×C3711yescharacteristic
1311C22⋊C8C23×C3711yescharacteristic
1312C22⋊C8C23×C3711yescharacteristic
1313C22⋊C8C23×C3711yescharacteristic
1314C22⋊C8C23×C3711yescharacteristic
1315#97C23×C3711yescharacteristic
1316#97C23×C3711yescharacteristic
1317C4×C8C23×C3711yescharacteristic
1318C4×C8C23×C3711yescharacteristic
1319#41—41no—
1320#41—41no—
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328#41—41no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—41no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8—41no—
1336C2×Q8C2×D4×C3711yescharacteristic
1337C2×Q8C2×D4×C3711yescharacteristic
1338C2×Q8C24×C3711yescharacteristic
1339C2×Q8C24×C3711yescharacteristic
1340C2×Q8C24×C3711yescharacteristic
1341C2×Q8C24×C3711yescharacteristic
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4C2×D4×C3711yescharacteristic
1353C2×D4C2×D4×C3711yescharacteristic
1354C2×D4C2×D4×C3711yescharacteristic
1355C2×D4C2×D4×C3711yescharacteristic
1356C2×D4C2×D4×C3711yescharacteristic
1357C2×D4C2×D4×C3711yescharacteristic
1358C2×D4C2×D4×C3711yescharacteristic
1359C2×D4C2×D4×C3711yescharacteristic
1360C2×D4C2×D4×C3711yescharacteristic
1361C2×D4C2×D4×C3711yescharacteristic
1362C2×D4C24×C3711yescharacteristic
1363C2×D4C24×C3711yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4C2×D4×C3711yescharacteristic
1381C22×C4C2×D4×C3711yescharacteristic
1382C22×C4C24×C3711yescharacteristic
1383C22×C4C24×C3711yescharacteristic
1384C22×C4C24×C3711yescharacteristic
1385C22×C4C24×C3711yescharacteristic
1386C22×C4C24×C3711yescharacteristic
1387Q16—41no—
1388Q16—41no—
1389Q16—41no—
1390SD16—41no—
1391SD16—41no—
1392SD16—41no—
1393SD16—41no—
1394D8—41no—
1395M16—41no—
1396M16—41no—
1397M16—41no—
1398M16—41no—
1399C2×C8—41no—
1400C2×C8—41no—
1401C2×C8—41no—
1402C2×C8—41no—
1403C2×C8C24×C3711yescharacteristic
1404C2×C8C24×C3711yescharacteristic
1405C2×C8C24×C3711yescharacteristic
1406C2×C8C24×C3711yescharacteristic
1407C2×C8C24×C3711yescharacteristic
1408C2×C8C24×C3711yescharacteristic
1409C2×C8C24×C3711yescharacteristic
1410C2×C8C24×C3711yescharacteristic
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4C2×D4×C3711yescharacteristic
1451C4⋊C4C2×D4×C3711yescharacteristic
1452C4⋊C4C2×D4×C3711yescharacteristic
1453C4⋊C4C2×D4×C3711yescharacteristic
1454C4⋊C4C24×C3711yescharacteristic
1455C4⋊C4C24×C3711yescharacteristic
1456C4⋊C4C24×C3711yescharacteristic
1457C4⋊C4C24×C3711yescharacteristic
1458C4⋊C4C24×C3711yescharacteristic
1459C4⋊C4C24×C3711yescharacteristic
1460C4⋊C4C24×C3711yescharacteristic
1461C4⋊C4C24×C3711yescharacteristic
1462C4⋊C4C24×C3711yescharacteristic
1463C4⋊C4C24×C3711yescharacteristic
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4C2×D4×C3711yescharacteristic
1497C22⋊C4C2×D4×C3711yescharacteristic
1498C22⋊C4C2×D4×C3711yescharacteristic
1499C22⋊C4C2×D4×C3711yescharacteristic
1500C22⋊C4C2×D4×C3711yescharacteristic
1501C22⋊C4C2×D4×C3711yescharacteristic
1502C22⋊C4C2×D4×C3711yescharacteristic
1503C22⋊C4C2×D4×C3711yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42C2×D4×C3711yescharacteristic
1517C42C2×D4×C3711yescharacteristic
1518C42C24×C3711yescharacteristic
1519C42C24×C3711yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23C22×D4×C3711yescharacteristic
1523C23C22×D4×C3711yescharacteristic
1524C23C22×D4×C3711yescharacteristic
1525C23C22×D4×C3711yescharacteristic
1526C23C22×D4×C3711yescharacteristic
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—41no—
1536Q8—41no—
1537Q8—81no—
1538Q8—81no—
1539Q8—81no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—42no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4C22×D4×C3711yescharacteristic
1607C2×C4C22×D4×C3711yescharacteristic
1608C2×C4C22×D4×C3711yescharacteristic
1609C2×C4C22×D4×C3711yescharacteristic
1610C2×C4C22×D4×C3711yescharacteristic
1611C2×C4C22×D4×C3711yescharacteristic
1612C2×C4C22×D4×C3711yescharacteristic
1613C2×C4C22×D4×C3711yescharacteristic
1614C2×C4C22×D4×C3711yescharacteristic
1615C2×C4C25×C3711yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22C23×D4×C3711yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4C37×#58511yescharacteristic
1670C4C37×#58511yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—41no—
1674C2—41no—
1675C2—41no—
1676C2—81no—
1677C2—81no—
1678C2C37×#348511yescharacteristic
1679C2C37×#358411yescharacteristic
1680C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3547C2semidirect
2. C37×#3512C2semidirect
3. C37×#3352C2semidirect
4. C37×#3351C2semidirect
5. C37×#3348C2semidirect
6. C37×#3347C2semidirect
7. C37×#3346C2semidirect
8. C37×#3344C2semidirect
9. C37×#3337C2semidirect
10. C37×#3336C2semidirect
11. C37×#3327C2semidirect
12. C37×#3326C2semidirect
13. C37×#3320C2semidirect
14. C37×#3315C2semidirect
15. C37×#3312C2semidirect
16. C37×#3307C2semidirect
17. C37×#3301C2semidirect
18. C37×#3300C2semidirect
19. C37×#3236C2semidirect
20. C37×#3232C2semidirect
21. C37×#3204C2semidirect
22. C37×#3203C2semidirect
23. C37×#3201C2semidirect
24. C37×#3201C2semidirect
25. C37×#3111C2semidirect
26. C37×#3107C2semidirect
27. C37×#3099C2semidirect
28. C37×#3098C2semidirect
29. C37×#3097C2semidirect
30. C37×#3097C2semidirect
31. C37×#2981C2semidirect
783. #61814C37direct (N × H)
831. #3547C2×C37semidirect
832. #3512C2×C37semidirect
833. #3352C2×C37semidirect
834. #3351C2×C37semidirect
835. #3348C2×C37semidirect
836. #3347C2×C37semidirect
837. #3346C2×C37semidirect
838. #3344C2×C37semidirect
839. #3337C2×C37semidirect
840. #3336C2×C37semidirect
841. #3327C2×C37semidirect
842. #3326C2×C37semidirect
843. #3320C2×C37semidirect
844. #3315C2×C37semidirect
845. #3312C2×C37semidirect
846. #3307C2×C37semidirect
847. #3301C2×C37semidirect
848. #3300C2×C37semidirect
849. #3236C2×C37semidirect
850. #3232C2×C37semidirect
851. #3204C2×C37semidirect
852. #3203C2×C37semidirect
853. #3201C2×C37semidirect
854. #3201C2×C37semidirect
855. #3111C2×C37semidirect
856. #3107C2×C37semidirect
857. #3099C2×C37semidirect
858. #3098C2×C37semidirect
859. #3097C2×C37semidirect
860. #3097C2×C37semidirect
861. #2981C2×C37semidirect
1043. C37#61814direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35472
C37×#35122
C37×#33522
C37×#33512
C37×#33482
C37×#33472
C37×#33462
C37×#33442
C37×#33372
C37×#33362
C37×#33272
C37×#33262
C37×#33202
C37×#33152
C37×#33122
C37×#33072
C37×#33012
C37×#33002
C37×#32362
C37×#32322
C37×#32042
C37×#32032
C37×#32012
C37×#31112
C37×#31072
C37×#30992
C37×#30982
C37×#30972
C37×#29812
#6181437