Finite Group Databasebeta

← C37×#61780 #22683033

Subgroups — C37×#61780 #22683033

Order 9472.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3542C211yesmaximal, characteristic
2C37×#3495C211yesmaximal, characteristic, complemented
3C37×#3357C211yesmaximal, characteristic, complemented
4C37×#3353C211yesmaximal, characteristic, complemented
5C37×#3352C211yesmaximal, characteristic, complemented
6C37×#3351C211yesmaximal, characteristic, complemented
7C37×#3349C211yesmaximal, characteristic, complemented
8C37×#3348C211yesmaximal, characteristic, complemented
9C37×#3346C211yesmaximal, characteristic, complemented
10C37×#3343C211yesmaximal, characteristic, complemented
11C37×#3333C211yesmaximal, characteristic, complemented
12C37×#3324C211yesmaximal, characteristic, complemented
13C37×#3323C211yesmaximal, characteristic, complemented
14C37×#3323C211yesmaximal, characteristic, complemented
15C37×#3317C211yesmaximal, characteristic, complemented
16C37×#3314C211yesmaximal, characteristic, complemented
17C37×#3311C211yesmaximal, characteristic, complemented
18C37×#3310C211yesmaximal, characteristic, complemented
19C37×#3243C211yesmaximal, characteristic, complemented
20C37×#3241C211yesmaximal, characteristic, complemented
21C37×#3201C211yesmaximal, characteristic, complemented
22C37×#3200C211yesmaximal, characteristic, complemented
23C37×#3196C211yesmaximal, characteristic, complemented
24C37×#3193C211yesmaximal, characteristic, complemented
25C37×#3126C211yesmaximal, characteristic, complemented
26C37×#3121C211yesmaximal, characteristic, complemented
27C37×#3098C211yesmaximal, characteristic, complemented
28C37×#3096C211yesmaximal, characteristic, complemented
29C37×#3094C211yesmaximal, characteristic, complemented
30C37×#3093C211yesmaximal, characteristic, complemented
31C37×#2978C211yesmaximal, characteristic, complemented
32C37×#562—21no—
33C37×#560—21no—
34C37×#556C2211yescharacteristic
35C37×#556C2211yescharacteristic, complemented
36C37×#555C2211yescharacteristic
37C37×#554C2211yescharacteristic, complemented
38C37×#554C2211yescharacteristic, complemented
39C37×#553C2211yescharacteristic
40C37×#552—21no—
41C37×#552—21no—
42C37×#552C2211yescharacteristic
43C37×#552C2211yescharacteristic
44C37×#552C2211yescharacteristic, complemented
45C37×#552C2211yescharacteristic, complemented
46C37×#552C2211yescharacteristic, complemented
47C37×#551—21no—
48C37×#551—21no—
49C37×#551—21no—
50C37×#550C2211yescharacteristic
51C37×#547C2211yescharacteristic
52C37×#546—21no—
53C37×#546C2211yescharacteristic
54C37×#546C2211yescharacteristic
55D42×C37C2211yescharacteristic
56C37×#544C2211yescharacteristic, complemented
57C37×#542—21no—
58C37×#542C2211yescharacteristic
59C37×#541—21no—
60C37×#540—21no—
61C37×#540C2211yescharacteristic
62C37×#538—21no—
63C37×#537C2211yescharacteristic
64C37×#536C2211yescharacteristic, complemented
65C37×#535—21no—
66C37×#535C2211yescharacteristic
67C37×#534—21no—
68C37×#533—21no—
69C37×#529—21no—
70C37×#525C2211yescharacteristic
71C37×#525C2211yescharacteristic
72C2×C22⋊Q8×C37C2211yescharacteristic, complemented
73C2×#121×C37C2211yescharacteristic
74C37×#520C2211yescharacteristic, complemented
75C37×#519C2211yescharacteristic, complemented
76C2×#117×C37C2211yescharacteristic, complemented
77C37×#501C2211yescharacteristic, complemented
78C37×#501C2211yescharacteristic, complemented
79C37×#500C2211yescharacteristic, complemented
80C37×#499C2211yescharacteristic, complemented
81C37×#490C2211yescharacteristic, complemented
82C37×#489C2211yescharacteristic, complemented
83C37×#488C2211yescharacteristic, complemented
84C37×#486C2211yescharacteristic, complemented
85C37×#485C2211yescharacteristic, complemented
86C37×#485C2211yescharacteristic, complemented
87C37×#485C2211yescharacteristic, complemented
88C37×#485C2211yescharacteristic, complemented
89C37×#485C2211yescharacteristic, complemented
90C37×#485C2211yescharacteristic, complemented
91C37×#485C2211yescharacteristic, complemented
92C37×#485C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#484C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#484C2211yescharacteristic, complemented
98C37×#484C2211yescharacteristic, complemented
99C37×#483C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic
101C37×#482C2211yescharacteristic
102C37×#482C2211yescharacteristic
103C37×#482C2211yescharacteristic
104C37×#482C2211yescharacteristic, complemented
105C37×#482C2211yescharacteristic, complemented
106C37×#482C2211yescharacteristic, complemented
107C37×#482C2211yescharacteristic, complemented
108C37×#482C2211yescharacteristic, complemented
109C37×#482C2211yescharacteristic, complemented
110C37×#482C2211yescharacteristic, complemented
111C37×#481C2211yescharacteristic
112C37×#481C2211yescharacteristic, complemented
113C37×#481C2211yescharacteristic, complemented
114C37×#481C2211yescharacteristic, complemented
115C37×#480C2211yescharacteristic
116C37×#480C2211yescharacteristic
117C37×#480C2211yescharacteristic, complemented
118C37×#480C2211yescharacteristic, complemented
119C37×#480C2211yescharacteristic, complemented
120C37×#480C2211yescharacteristic, complemented
121C37×#479C2211yescharacteristic, complemented
122C37×#479C2211yescharacteristic, complemented
123C37×#479C2211yescharacteristic, complemented
124C37×#478C2211yescharacteristic, complemented
125C37×#478C2211yescharacteristic, complemented
126C37×#478C2211yescharacteristic, complemented
127C37×#477C2211yescharacteristic, complemented
128C37×#477C2211yescharacteristic, complemented
129C37×#476C2211yescharacteristic, complemented
130C37×#475C2211yescharacteristic, complemented
131C37×#474C2211yescharacteristic, complemented
132C37×#474C2211yescharacteristic, complemented
133C37×#470C2211yescharacteristic, complemented
134C37×#470C2211yescharacteristic, complemented
135C37×#470C2211yescharacteristic, complemented
136C37×#468C2211yescharacteristic
137C37×#468C2211yescharacteristic
138C37×#468C2211yescharacteristic
139C37×#468C2211yescharacteristic
140C37×#468C2211yescharacteristic, complemented
141C37×#468C2211yescharacteristic, complemented
142C37×#468C2211yescharacteristic, complemented
143C37×#468C2211yescharacteristic, complemented
144C37×#468C2211yescharacteristic, complemented
145C37×#467C2211yescharacteristic, complemented
146C37×#465C2211yescharacteristic, complemented
147C37×#465C2211yescharacteristic, complemented
148C37×#465C2211yescharacteristic, complemented
149C37×#464C2211yescharacteristic, complemented
150C37×#464C2211yescharacteristic, complemented
151C37×#460C2211yescharacteristic, complemented
152C37×#460C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic, complemented
154C37×#452C2211yescharacteristic, complemented
155C37×#452C2211yescharacteristic, complemented
156C37×#452C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic, complemented
158C37×#450C2211yescharacteristic
159C37×#450C2211yescharacteristic
160C37×#450C2211yescharacteristic, complemented
161C37×#450C2211yescharacteristic, complemented
162C37×#448C2211yescharacteristic
163C37×#448C2211yescharacteristic, complemented
164C37×#448C2211yescharacteristic, complemented
165C37×#441C2211yescharacteristic, complemented
166C37×#440C2211yescharacteristic, complemented
167C37×#440C2211yescharacteristic, complemented
168C37×#440C2211yescharacteristic, complemented
169C4×Q16×C37C2211yescharacteristic, complemented
170C4×SD16×C37C2211yescharacteristic, complemented
171C4×SD16×C37C2211yescharacteristic, complemented
172C4×SD16×C37C2211yescharacteristic, complemented
173C37×#436C2211yescharacteristic
174C37×#436C2211yescharacteristic, complemented
175C37×#436C2211yescharacteristic, complemented
176C37×#436C2211yescharacteristic, complemented
177C37×#435C2211yescharacteristic
178C37×#435C2211yescharacteristic, complemented
179C37×#435C2211yescharacteristic, complemented
180C37×#435C2211yescharacteristic, complemented
181C37×#433C2211yescharacteristic, complemented
182C37×#433C2211yescharacteristic, complemented
183C37×#428C2211yescharacteristic, complemented
184C37×#428C2211yescharacteristic, complemented
185C37×#428C2211yescharacteristic, complemented
186C37×#428C2211yescharacteristic, complemented
187C37×#428C2211yescharacteristic, complemented
188C37×#428C2211yescharacteristic, complemented
189C37×#427C2211yescharacteristic, complemented
190C2×#107×C37C2211yescharacteristic, complemented
191C37×#418C2211yescharacteristic
192C37×#418C2211yescharacteristic
193C37×#418C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#417C2211yescharacteristic, complemented
196C37×#417C2211yescharacteristic, complemented
197C37×#416C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C37×#407C2211yescharacteristic, complemented
202C37×#407C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C22×Q8×C37C2311yescharacteristic
208C22×D4×C37—21no—
209C22×D4×C37—21no—
210C22×D4×C37C2311yescharacteristic
211C22×D4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C2×Q16×C37C2311yescharacteristic
214C2×Q16×C37C2311yescharacteristic
215C2×SD16×C37C2311yescharacteristic
216C2×SD16×C37C2311yescharacteristic
217C2×SD16×C37C2311yescharacteristic
218C2×SD16×C37C2311yescharacteristic
219C2×SD16×C37C2311yescharacteristic
220C2×SD16×C37C2311yescharacteristic
221C2×M16×C37C2311yescharacteristic
222C2×M16×C37C2311yescharacteristic
223C2×M16×C37C2311yescharacteristic
224C2×M16×C37C2311yescharacteristic
225C2×M16×C37C2311yescharacteristic
226C2×M16×C37C2311yescharacteristic
227C22×C8×C37C2311yescharacteristic
228C22×C8×C37C2311yescharacteristic
229C4⋊Q8×C37—21no—
230C4⋊Q8×C37—21no—
231C4⋊Q8×C37C2311yescharacteristic
232C4⋊Q8×C37C2311yescharacteristic
233C4⋊Q8×C37C2311yescharacteristic
234#127×C37—21no—
235#127×C37—21no—
236#127×C37C2311yescharacteristic
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#126×C37—21no—
245#126×C37—21no—
246#126×C37—21no—
247#126×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×C37—21no—
255#125×C37—21no—
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×C37—21no—
266#124×C37C2311yescharacteristic
267#123×C37—21no—
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×C37D411yescharacteristic
284#123×C37D411yescharacteristic
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×C37D411yescharacteristic
297C22⋊Q8×C37D411yescharacteristic
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×C37D411yescharacteristic
324#121×C37D411yescharacteristic
325#121×C37C2311yescharacteristic
326#121×C37C2311yescharacteristic
327#121×C37C2311yescharacteristic
328#121×C37C2311yescharacteristic
329#121×C37C2311yescharacteristic
330#121×C37C2311yescharacteristic
331#121×C37C2311yescharacteristic
332#121×C37C2311yescharacteristic
333#121×C37C2311yescharacteristic
334#120×C37—21no—
335#120×C37—21no—
336#120×C37—21no—
337#120×C37—21no—
338#120×C37—21no—
339#120×C37—21no—
340#120×C37—21no—
341#120×C37D411yescharacteristic
342#120×C37D411yescharacteristic
343C4×Q8×C37—21no—
344C4×Q8×C37—21no—
345C4×Q8×C37—21no—
346C4×Q8×C37—21no—
347C4×Q8×C37—21no—
348C4×Q8×C37C2311yescharacteristic
349C4×Q8×C37C2311yescharacteristic
350C4×Q8×C37C2311yescharacteristic
351C4×Q8×C37C2311yescharacteristic
352C4×Q8×C37C2311yescharacteristic
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×C37C2311yescharacteristic
363C4×D4×C37C2311yescharacteristic
364C4×D4×C37C2311yescharacteristic
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369#117×C37—21no—
370#117×C37—21no—
371#117×C37—21no—
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×C37C2311yescharacteristic
380#117×C37C2311yescharacteristic
381#117×C37C2311yescharacteristic
382#117×C37C2311yescharacteristic
383#117×C37C2311yescharacteristic
384#117×C37C2311yescharacteristic
385#117×C37C2311yescharacteristic
386#117×C37C2311yescharacteristic
387#117×C37C2311yescharacteristic
388C2×C4⋊C4×C37—21no—
389C2×C4⋊C4×C37C2311yescharacteristic
390C2×C4⋊C4×C37C2311yescharacteristic
391C2×C4⋊C4×C37C2311yescharacteristic
392C2×C4⋊C4×C37C2311yescharacteristic
393C2×C4⋊C4×C37C2311yescharacteristic
394C2×C4⋊C4×C37C2311yescharacteristic
395C2×C4⋊C4×C37C2311yescharacteristic
396C2×C22⋊C4×C37—21no—
397C2×C22⋊C4×C37—21no—
398C2×C22⋊C4×C37—21no—
399C2×C22⋊C4×C37—21no—
400C2×C22⋊C4×C37—21no—
401C2×C42×C37—21no—
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#107×C37C2311yescharacteristic
415#107×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#102×C37C2311yescharacteristic
445#102×C37C2311yescharacteristic
446#102×C37C2311yescharacteristic
447#102×C37C2311yescharacteristic
448#102×C37C2311yescharacteristic
449#102×C37C2311yescharacteristic
450#102×C37C2311yescharacteristic
451#102×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
478C24×C37—21no—
479C24×C37—21no—
480C24×C37C2×D411yescharacteristic
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—82no—
488C2×Q8×C37—21no—
489C2×Q8×C37—21no—
490C2×Q8×C37—21no—
491C2×Q8×C37—21no—
492C2×Q8×C37—41no—
493C2×Q8×C37—41no—
494C2×Q8×C37C2×D411yescharacteristic
495C2×Q8×C37C2411yescharacteristic
496C2×Q8×C37C2411yescharacteristic
497C2×Q8×C37C2411yescharacteristic
498C2×D4×C37—21no—
499C2×D4×C37—21no—
500C2×D4×C37—21no—
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×C37—21no—
512C2×D4×C37—21no—
513C2×D4×C37—41no—
514C2×D4×C37—41no—
515C2×D4×C37—41no—
516C2×D4×C37—41no—
517C2×D4×C37—82no—
518C2×D4×C37—82no—
519C2×D4×C37C2×D411yescharacteristic
520C2×D4×C37C2×D411yescharacteristic
521C2×D4×C37C2×D411yescharacteristic
522C2×D4×C37C2×D411yescharacteristic
523C2×D4×C37C2×D411yescharacteristic
524C2×D4×C37C2×D411yescharacteristic
525C2×D4×C37C2×D411yescharacteristic
526C2×D4×C37C2411yescharacteristic
527C2×D4×C37C2411yescharacteristic
528C2×D4×C37C2411yescharacteristic
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×C37—21no—
540C22×C4×C37—21no—
541C22×C4×C37—21no—
542C22×C4×C37—41no—
543C22×C4×C37—41no—
544C22×C4×C37C2×D411yescharacteristic
545C22×C4×C37C2×D411yescharacteristic
546C22×C4×C37C2×D411yescharacteristic
547C22×C4×C37C2411yescharacteristic
548C22×C4×C37C2411yescharacteristic
549C22×C4×C37C2411yescharacteristic
550C22×C4×C37C2411yescharacteristic
551C22×C4×C37C2411yescharacteristic
552Q16×C37—41no—
553Q16×C37—41no—
554SD16×C37—41no—
555SD16×C37—41no—
556SD16×C37—41no—
557SD16×C37—41no—
558SD16×C37—41no—
559SD16×C37—41no—
560M16×C37—41no—
561M16×C37—41no—
562M16×C37—41no—
563M16×C37—41no—
564M16×C37—41no—
565M16×C37—41no—
566C2×C8×C37—41no—
567C2×C8×C37—41no—
568C2×C8×C37C2411yescharacteristic
569C2×C8×C37C2411yescharacteristic
570C2×C8×C37C2411yescharacteristic
571C2×C8×C37C2411yescharacteristic
572C2×C8×C37C2411yescharacteristic
573C2×C8×C37C2411yescharacteristic
574C2×C8×C37C2411yescharacteristic
575C2×C8×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
609C4⋊C4×C37C2×D411yescharacteristic
610C4⋊C4×C37C2×D411yescharacteristic
611C4⋊C4×C37C2×D411yescharacteristic
612C4⋊C4×C37C2×D411yescharacteristic
613C4⋊C4×C37C2×D411yescharacteristic
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
623C4⋊C4×C37C2411yescharacteristic
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×C37—21no—
656C22⋊C4×C37—21no—
657C22⋊C4×C37C2×D411yescharacteristic
658C22⋊C4×C37C2×D411yescharacteristic
659C22⋊C4×C37C2×D411yescharacteristic
660C22⋊C4×C37C2×D411yescharacteristic
661C22⋊C4×C37C2×D411yescharacteristic
662C22⋊C4×C37C2×D411yescharacteristic
663C22⋊C4×C37C2×D411yescharacteristic
664C22⋊C4×C37C2×D411yescharacteristic
665C22⋊C4×C37C2×D411yescharacteristic
666C22⋊C4×C37C2×D411yescharacteristic
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×C37—21no—
676C42×C37—21no—
677C42×C37—21no—
678C42×C37—21no—
679C42×C37—21no—
680C42×C37C2411yescharacteristic
681C42×C37C2411yescharacteristic
682C23×C37—21no—
683C23×C37—21no—
684C23×C37—21no—
685C23×C37—41no—
686C23×C37—41no—
687C23×C37—41no—
688C23×C37—42no—
689C23×C37—81no—
690C23×C37—81no—
691C23×C37—81no—
692C23×C37—81no—
693C23×C37—81no—
694C23×C37C22×D411yescharacteristic
695C23×C37C22×D411yescharacteristic
696C23×C37C22×D411yescharacteristic
697C23×C37C22×D411yescharacteristic
698C23×C37C22×D411yescharacteristic
699Q8×C37—21no—
700Q8×C37—21no—
701Q8×C37—21no—
702Q8×C37—21no—
703Q8×C37—21no—
704Q8×C37—21no—
705Q8×C37—41no—
706Q8×C37—42no—
707Q8×C37—81no—
708Q8×C37—81no—
709Q8×C37—81no—
710D4×C37—21no—
711D4×C37—21no—
712D4×C37—21no—
713D4×C37—21no—
714D4×C37—21no—
715D4×C37—21no—
716D4×C37—41no—
717D4×C37—41no—
718D4×C37—41no—
719D4×C37—41no—
720D4×C37—41no—
721D4×C37—41no—
722D4×C37—41no—
723D4×C37—42no—
724D4×C37—81no—
725D4×C37—81no—
726D4×C37—81no—
727D4×C37—81no—
728D4×C37—81no—
729D4×C37—81no—
730D4×C37—81no—
731D4×C37—81no—
732D4×C37—81no—
733D4×C37—81no—
734D4×C37—81no—
735D4×C37—81no—
736D4×C37—81no—
737D4×C37—81no—
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—21no—
748C2×C4×C37—21no—
749C2×C4×C37—21no—
750C2×C4×C37—21no—
751C2×C4×C37—21no—
752C2×C4×C37—21no—
753C2×C4×C37—21no—
754C2×C4×C37—21no—
755C2×C4×C37—21no—
756C2×C4×C37—21no—
757C2×C4×C37—21no—
758C2×C4×C37—21no—
759C2×C4×C37—21no—
760C2×C4×C37—21no—
761C2×C4×C37—41no—
762C2×C4×C37—41no—
763C2×C4×C37—41no—
764C2×C4×C37—42no—
765C2×C4×C37—42no—
766C2×C4×C37—42no—
767C2×C4×C37—81no—
768C2×C4×C37—81no—
769C2×C4×C37—81no—
770C2×C4×C37—81no—
771C2×C4×C37—81no—
772C2×C4×C37—81no—
773C2×C4×C37—81no—
774C2×C4×C37—81no—
775C2×C4×C37—81no—
776C2×C4×C37—81no—
777C2×C4×C37C22×D411yescharacteristic
778C2×C4×C37C22×D411yescharacteristic
779C2×C4×C37C22×D411yescharacteristic
780C2×C4×C37C22×D411yescharacteristic
781C2×C4×C37C22×D411yescharacteristic
782C2×C4×C37C22×D411yescharacteristic
783C2×C4×C37C22×D411yescharacteristic
784C2×C4×C37C22×D411yescharacteristic
785C2×C4×C37C22×D411yescharacteristic
786C2×C4×C37C2511yescharacteristic
787C8×C37—21no—
788C8×C37—21no—
789C8×C37—21no—
790C8×C37—21no—
791C8×C37—21no—
792C8×C37—21no—
793C8×C37—21no—
794C8×C37—21no—
795#61780C3711yesmaximal, characteristic, direct product factor, Sylow
796C22×C37—21no—
797C22×C37—21no—
798C22×C37—21no—
799C22×C37—21no—
800C22×C37—21no—
801C22×C37—21no—
802C22×C37—21no—
803C22×C37—21no—
804C22×C37—21no—
805C22×C37—21no—
806C22×C37—21no—
807C22×C37—21no—
808C22×C37—21no—
809C22×C37—21no—
810C22×C37—21no—
811C22×C37—41no—
812C22×C37—41no—
813C22×C37—41no—
814C22×C37—41no—
815C22×C37—41no—
816C22×C37—41no—
817C22×C37—41no—
818C22×C37—41no—
819C22×C37—41no—
820C22×C37—82no—
821C22×C37—162no—
822C22×C37—162no—
823C22×C37C23×D411yescharacteristic
824C4×C37—21no—
825C4×C37—21no—
826C4×C37—21no—
827C4×C37—21no—
828C4×C37—21no—
829C4×C37—21no—
830C4×C37—21no—
831C4×C37—21no—
832C4×C37—21no—
833C4×C37—41no—
834C4×C37—41no—
835C4×C37—41no—
836C4×C37—41no—
837C4×C37—41no—
838C4×C37—41no—
839C4×C37—41no—
840C4×C37—41no—
841C4×C37—41no—
842C4×C37—41no—
843C4×C37—41no—
844C4×C37—41no—
845C4×C37—41no—
846C4×C37#58511yescharacteristic
847C4×C37#58511yescharacteristic
848#3542C2×C3711yescharacteristic
849#3495C2×C3711yescharacteristic, complemented
850#3357C2×C3711yescharacteristic, complemented
851#3353C2×C3711yescharacteristic, complemented
852#3352C2×C3711yescharacteristic, complemented
853#3351C2×C3711yescharacteristic, complemented
854#3349C2×C3711yescharacteristic, complemented
855#3348C2×C3711yescharacteristic, complemented
856#3346C2×C3711yescharacteristic, complemented
857#3343C2×C3711yescharacteristic, complemented
858#3333C2×C3711yescharacteristic, complemented
859#3324C2×C3711yescharacteristic, complemented
860#3323C2×C3711yescharacteristic, complemented
861#3323C2×C3711yescharacteristic, complemented
862#3317C2×C3711yescharacteristic, complemented
863#3314C2×C3711yescharacteristic, complemented
864#3311C2×C3711yescharacteristic, complemented
865#3310C2×C3711yescharacteristic, complemented
866#3243C2×C3711yescharacteristic, complemented
867#3241C2×C3711yescharacteristic, complemented
868#3201C2×C3711yescharacteristic, complemented
869#3200C2×C3711yescharacteristic, complemented
870#3196C2×C3711yescharacteristic, complemented
871#3193C2×C3711yescharacteristic, complemented
872#3126C2×C3711yescharacteristic, complemented
873#3121C2×C3711yescharacteristic, complemented
874#3098C2×C3711yescharacteristic, complemented
875#3096C2×C3711yescharacteristic, complemented
876#3094C2×C3711yescharacteristic, complemented
877#3093C2×C3711yescharacteristic, complemented
878#2978C2×C3711yescharacteristic, complemented
879C2×C37—41no—
880C2×C37—41no—
881C2×C37—41no—
882C2×C37—41no—
883C2×C37—41no—
884C2×C37—81no—
885C2×C37—81no—
886C2×C37—81no—
887C2×C37#348511yescharacteristic
888C2×C37#358511yescharacteristic
889C2×C37#358611yescharacteristic
890#562—21no—
891#560—21no—
892#556C22×C3711yescharacteristic
893#556C22×C3711yescharacteristic, complemented
894#555C22×C3711yescharacteristic
895#554C22×C3711yescharacteristic, complemented
896#554C22×C3711yescharacteristic, complemented
897#553C22×C3711yescharacteristic
898#552—21no—
899#552—21no—
900#552C22×C3711yescharacteristic
901#552C22×C3711yescharacteristic
902#552C22×C3711yescharacteristic, complemented
903#552C22×C3711yescharacteristic, complemented
904#552C22×C3711yescharacteristic, complemented
905#551—21no—
906#551—21no—
907#551—21no—
908#550C22×C3711yescharacteristic
909#547C22×C3711yescharacteristic
910#546—21no—
911#546C22×C3711yescharacteristic
912#546C22×C3711yescharacteristic
913D42C22×C3711yescharacteristic
914#544C22×C3711yescharacteristic, complemented
915#542—21no—
916#542C22×C3711yescharacteristic
917#541—21no—
918#540—21no—
919#540C22×C3711yescharacteristic
920#538—21no—
921#537C22×C3711yescharacteristic
922#536C22×C3711yescharacteristic, complemented
923#535—21no—
924#535C22×C3711yescharacteristic
925#534—21no—
926#533—21no—
927#529—21no—
928#525C22×C3711yescharacteristic
929#525C22×C3711yescharacteristic
930C2×C22⋊Q8C22×C3711yescharacteristic, complemented
931C2×#121C22×C3711yescharacteristic
932#520C22×C3711yescharacteristic, complemented
933#519C22×C3711yescharacteristic, complemented
934C2×#117C22×C3711yescharacteristic, complemented
935#501C22×C3711yescharacteristic, complemented
936#501C22×C3711yescharacteristic, complemented
937#500C22×C3711yescharacteristic, complemented
938#499C22×C3711yescharacteristic, complemented
939#490C22×C3711yescharacteristic, complemented
940#489C22×C3711yescharacteristic, complemented
941#488C22×C3711yescharacteristic, complemented
942#486C22×C3711yescharacteristic, complemented
943#485C22×C3711yescharacteristic, complemented
944#485C22×C3711yescharacteristic, complemented
945#485C22×C3711yescharacteristic, complemented
946#485C22×C3711yescharacteristic, complemented
947#485C22×C3711yescharacteristic, complemented
948#485C22×C3711yescharacteristic, complemented
949#485C22×C3711yescharacteristic, complemented
950#485C22×C3711yescharacteristic, complemented
951#485C22×C3711yescharacteristic, complemented
952#484C22×C3711yescharacteristic, complemented
953#484C22×C3711yescharacteristic, complemented
954#484C22×C3711yescharacteristic, complemented
955#484C22×C3711yescharacteristic, complemented
956#484C22×C3711yescharacteristic, complemented
957#483C22×C3711yescharacteristic, complemented
958#482C22×C3711yescharacteristic
959#482C22×C3711yescharacteristic
960#482C22×C3711yescharacteristic
961#482C22×C3711yescharacteristic
962#482C22×C3711yescharacteristic, complemented
963#482C22×C3711yescharacteristic, complemented
964#482C22×C3711yescharacteristic, complemented
965#482C22×C3711yescharacteristic, complemented
966#482C22×C3711yescharacteristic, complemented
967#482C22×C3711yescharacteristic, complemented
968#482C22×C3711yescharacteristic, complemented
969#481C22×C3711yescharacteristic
970#481C22×C3711yescharacteristic, complemented
971#481C22×C3711yescharacteristic, complemented
972#481C22×C3711yescharacteristic, complemented
973#480C22×C3711yescharacteristic
974#480C22×C3711yescharacteristic
975#480C22×C3711yescharacteristic, complemented
976#480C22×C3711yescharacteristic, complemented
977#480C22×C3711yescharacteristic, complemented
978#480C22×C3711yescharacteristic, complemented
979#479C22×C3711yescharacteristic, complemented
980#479C22×C3711yescharacteristic, complemented
981#479C22×C3711yescharacteristic, complemented
982#478C22×C3711yescharacteristic, complemented
983#478C22×C3711yescharacteristic, complemented
984#478C22×C3711yescharacteristic, complemented
985#477C22×C3711yescharacteristic, complemented
986#477C22×C3711yescharacteristic, complemented
987#476C22×C3711yescharacteristic, complemented
988#475C22×C3711yescharacteristic, complemented
989#474C22×C3711yescharacteristic, complemented
990#474C22×C3711yescharacteristic, complemented
991#470C22×C3711yescharacteristic, complemented
992#470C22×C3711yescharacteristic, complemented
993#470C22×C3711yescharacteristic, complemented
994#468C22×C3711yescharacteristic
995#468C22×C3711yescharacteristic
996#468C22×C3711yescharacteristic
997#468C22×C3711yescharacteristic
998#468C22×C3711yescharacteristic, complemented
999#468C22×C3711yescharacteristic, complemented
1000#468C22×C3711yescharacteristic, complemented
1001#468C22×C3711yescharacteristic, complemented
1002#468C22×C3711yescharacteristic, complemented
1003#467C22×C3711yescharacteristic, complemented
1004#465C22×C3711yescharacteristic, complemented
1005#465C22×C3711yescharacteristic, complemented
1006#465C22×C3711yescharacteristic, complemented
1007#464C22×C3711yescharacteristic, complemented
1008#464C22×C3711yescharacteristic, complemented
1009#460C22×C3711yescharacteristic, complemented
1010#460C22×C3711yescharacteristic, complemented
1011#452C22×C3711yescharacteristic, complemented
1012#452C22×C3711yescharacteristic, complemented
1013#452C22×C3711yescharacteristic, complemented
1014#452C22×C3711yescharacteristic, complemented
1015#451C22×C3711yescharacteristic, complemented
1016#450C22×C3711yescharacteristic
1017#450C22×C3711yescharacteristic
1018#450C22×C3711yescharacteristic, complemented
1019#450C22×C3711yescharacteristic, complemented
1020#448C22×C3711yescharacteristic
1021#448C22×C3711yescharacteristic, complemented
1022#448C22×C3711yescharacteristic, complemented
1023#441C22×C3711yescharacteristic, complemented
1024#440C22×C3711yescharacteristic, complemented
1025#440C22×C3711yescharacteristic, complemented
1026#440C22×C3711yescharacteristic, complemented
1027C4×Q16C22×C3711yescharacteristic, complemented
1028C4×SD16C22×C3711yescharacteristic, complemented
1029C4×SD16C22×C3711yescharacteristic, complemented
1030C4×SD16C22×C3711yescharacteristic, complemented
1031#436C22×C3711yescharacteristic
1032#436C22×C3711yescharacteristic, complemented
1033#436C22×C3711yescharacteristic, complemented
1034#436C22×C3711yescharacteristic, complemented
1035#435C22×C3711yescharacteristic
1036#435C22×C3711yescharacteristic, complemented
1037#435C22×C3711yescharacteristic, complemented
1038#435C22×C3711yescharacteristic, complemented
1039#433C22×C3711yescharacteristic, complemented
1040#433C22×C3711yescharacteristic, complemented
1041#428C22×C3711yescharacteristic, complemented
1042#428C22×C3711yescharacteristic, complemented
1043#428C22×C3711yescharacteristic, complemented
1044#428C22×C3711yescharacteristic, complemented
1045#428C22×C3711yescharacteristic, complemented
1046#428C22×C3711yescharacteristic, complemented
1047#427C22×C3711yescharacteristic, complemented
1048C2×#107C22×C3711yescharacteristic, complemented
1049#418C22×C3711yescharacteristic
1050#418C22×C3711yescharacteristic
1051#418C22×C3711yescharacteristic, complemented
1052#417C22×C3711yescharacteristic, complemented
1053#417C22×C3711yescharacteristic, complemented
1054#417C22×C3711yescharacteristic, complemented
1055#416C22×C3711yescharacteristic, complemented
1056C2×#102C22×C3711yescharacteristic, complemented
1057#408C22×C3711yescharacteristic, complemented
1058#408C22×C3711yescharacteristic, complemented
1059#407C22×C3711yescharacteristic, complemented
1060#407C22×C3711yescharacteristic, complemented
1061C37#6178011yescharacteristic, direct product factor, Sylow
1062C2×#41—21no—
1063C2×#41C23×C3711yescharacteristic
1064C2×#41C23×C3711yescharacteristic
1065C2×#41C23×C3711yescharacteristic
1066C22×Q8C23×C3711yescharacteristic
1067C22×D4—21no—
1068C22×D4—21no—
1069C22×D4C23×C3711yescharacteristic
1070C22×D4C23×C3711yescharacteristic
1071C23×C4C23×C3711yescharacteristic
1072C2×Q16C23×C3711yescharacteristic
1073C2×Q16C23×C3711yescharacteristic
1074C2×SD16C23×C3711yescharacteristic
1075C2×SD16C23×C3711yescharacteristic
1076C2×SD16C23×C3711yescharacteristic
1077C2×SD16C23×C3711yescharacteristic
1078C2×SD16C23×C3711yescharacteristic
1079C2×SD16C23×C3711yescharacteristic
1080C2×M16C23×C3711yescharacteristic
1081C2×M16C23×C3711yescharacteristic
1082C2×M16C23×C3711yescharacteristic
1083C2×M16C23×C3711yescharacteristic
1084C2×M16C23×C3711yescharacteristic
1085C2×M16C23×C3711yescharacteristic
1086C22×C8C23×C3711yescharacteristic
1087C22×C8C23×C3711yescharacteristic
1088C4⋊Q8—21no—
1089C4⋊Q8—21no—
1090C4⋊Q8C23×C3711yescharacteristic
1091C4⋊Q8C23×C3711yescharacteristic
1092C4⋊Q8C23×C3711yescharacteristic
1093#127—21no—
1094#127—21no—
1095#127C23×C3711yescharacteristic
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125—21no—
1115#125C23×C3711yescharacteristic
1116#125C23×C3711yescharacteristic
1117#125C23×C3711yescharacteristic
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124C23×C3711yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123D4×C3711yescharacteristic
1143#123D4×C3711yescharacteristic
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8D4×C3711yescharacteristic
1156C22⋊Q8D4×C3711yescharacteristic
1157C22⋊Q8C23×C3711yescharacteristic
1158C22⋊Q8C23×C3711yescharacteristic
1159C22⋊Q8C23×C3711yescharacteristic
1160C22⋊Q8C23×C3711yescharacteristic
1161C22⋊Q8C23×C3711yescharacteristic
1162C22⋊Q8C23×C3711yescharacteristic
1163C22⋊Q8C23×C3711yescharacteristic
1164C22⋊Q8C23×C3711yescharacteristic
1165C22⋊Q8C23×C3711yescharacteristic
1166C22⋊Q8C23×C3711yescharacteristic
1167C22⋊Q8C23×C3711yescharacteristic
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121D4×C3711yescharacteristic
1183#121D4×C3711yescharacteristic
1184#121C23×C3711yescharacteristic
1185#121C23×C3711yescharacteristic
1186#121C23×C3711yescharacteristic
1187#121C23×C3711yescharacteristic
1188#121C23×C3711yescharacteristic
1189#121C23×C3711yescharacteristic
1190#121C23×C3711yescharacteristic
1191#121C23×C3711yescharacteristic
1192#121C23×C3711yescharacteristic
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196#120—21no—
1197#120—21no—
1198#120—21no—
1199#120—21no—
1200#120D4×C3711yescharacteristic
1201#120D4×C3711yescharacteristic
1202C4×Q8—21no—
1203C4×Q8—21no—
1204C4×Q8—21no—
1205C4×Q8—21no—
1206C4×Q8—21no—
1207C4×Q8C23×C3711yescharacteristic
1208C4×Q8C23×C3711yescharacteristic
1209C4×Q8C23×C3711yescharacteristic
1210C4×Q8C23×C3711yescharacteristic
1211C4×Q8C23×C3711yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4C23×C3711yescharacteristic
1222C4×D4C23×C3711yescharacteristic
1223C4×D4C23×C3711yescharacteristic
1224C4×D4C23×C3711yescharacteristic
1225C4×D4C23×C3711yescharacteristic
1226C4×D4C23×C3711yescharacteristic
1227C4×D4C23×C3711yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117C23×C3711yescharacteristic
1239#117C23×C3711yescharacteristic
1240#117C23×C3711yescharacteristic
1241#117C23×C3711yescharacteristic
1242#117C23×C3711yescharacteristic
1243#117C23×C3711yescharacteristic
1244#117C23×C3711yescharacteristic
1245#117C23×C3711yescharacteristic
1246#117C23×C3711yescharacteristic
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4C23×C3711yescharacteristic
1249C2×C4⋊C4C23×C3711yescharacteristic
1250C2×C4⋊C4C23×C3711yescharacteristic
1251C2×C4⋊C4C23×C3711yescharacteristic
1252C2×C4⋊C4C23×C3711yescharacteristic
1253C2×C4⋊C4C23×C3711yescharacteristic
1254C2×C4⋊C4C23×C3711yescharacteristic
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C42—21no—
1261#107C23×C3711yescharacteristic
1262#107C23×C3711yescharacteristic
1263#107C23×C3711yescharacteristic
1264#107C23×C3711yescharacteristic
1265#107C23×C3711yescharacteristic
1266#107C23×C3711yescharacteristic
1267#107C23×C3711yescharacteristic
1268#107C23×C3711yescharacteristic
1269#107C23×C3711yescharacteristic
1270#107C23×C3711yescharacteristic
1271#107C23×C3711yescharacteristic
1272#107C23×C3711yescharacteristic
1273#107C23×C3711yescharacteristic
1274#107C23×C3711yescharacteristic
1275#106C23×C3711yescharacteristic
1276#106C23×C3711yescharacteristic
1277#106C23×C3711yescharacteristic
1278#106C23×C3711yescharacteristic
1279#106C23×C3711yescharacteristic
1280#106C23×C3711yescharacteristic
1281#106C23×C3711yescharacteristic
1282#106C23×C3711yescharacteristic
1283#106C23×C3711yescharacteristic
1284#106C23×C3711yescharacteristic
1285C4⋊C8C23×C3711yescharacteristic
1286C4⋊C8C23×C3711yescharacteristic
1287C4⋊C8C23×C3711yescharacteristic
1288C4⋊C8C23×C3711yescharacteristic
1289#103C23×C3711yescharacteristic
1290#103C23×C3711yescharacteristic
1291#103C23×C3711yescharacteristic
1292#103C23×C3711yescharacteristic
1293#103C23×C3711yescharacteristic
1294#103C23×C3711yescharacteristic
1295#103C23×C3711yescharacteristic
1296#103C23×C3711yescharacteristic
1297#103C23×C3711yescharacteristic
1298#103C23×C3711yescharacteristic
1299#103C23×C3711yescharacteristic
1300#103C23×C3711yescharacteristic
1301#103C23×C3711yescharacteristic
1302#103C23×C3711yescharacteristic
1303#102C23×C3711yescharacteristic
1304#102C23×C3711yescharacteristic
1305#102C23×C3711yescharacteristic
1306#102C23×C3711yescharacteristic
1307#102C23×C3711yescharacteristic
1308#102C23×C3711yescharacteristic
1309#102C23×C3711yescharacteristic
1310#102C23×C3711yescharacteristic
1311#102C23×C3711yescharacteristic
1312#102C23×C3711yescharacteristic
1313#102C23×C3711yescharacteristic
1314#102C23×C3711yescharacteristic
1315#102C23×C3711yescharacteristic
1316#102C23×C3711yescharacteristic
1317#102C23×C3711yescharacteristic
1318#102C23×C3711yescharacteristic
1319#102C23×C3711yescharacteristic
1320#102C23×C3711yescharacteristic
1321C22⋊C8C23×C3711yescharacteristic
1322C22⋊C8C23×C3711yescharacteristic
1323C22⋊C8C23×C3711yescharacteristic
1324C22⋊C8C23×C3711yescharacteristic
1325C22⋊C8C23×C3711yescharacteristic
1326C22⋊C8C23×C3711yescharacteristic
1327C22⋊C8C23×C3711yescharacteristic
1328C22⋊C8C23×C3711yescharacteristic
1329C22⋊C8C23×C3711yescharacteristic
1330C22⋊C8C23×C3711yescharacteristic
1331C22⋊C8C23×C3711yescharacteristic
1332C22⋊C8C23×C3711yescharacteristic
1333#97C23×C3711yescharacteristic
1334#97C23×C3711yescharacteristic
1335C4×C8C23×C3711yescharacteristic
1336C4×C8C23×C3711yescharacteristic
1337C24—21no—
1338C24—21no—
1339C24C2×D4×C3711yescharacteristic
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—82no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8C2×D4×C3711yescharacteristic
1354C2×Q8C24×C3711yescharacteristic
1355C2×Q8C24×C3711yescharacteristic
1356C2×Q8C24×C3711yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—82no—
1377C2×D4—82no—
1378C2×D4C2×D4×C3711yescharacteristic
1379C2×D4C2×D4×C3711yescharacteristic
1380C2×D4C2×D4×C3711yescharacteristic
1381C2×D4C2×D4×C3711yescharacteristic
1382C2×D4C2×D4×C3711yescharacteristic
1383C2×D4C2×D4×C3711yescharacteristic
1384C2×D4C2×D4×C3711yescharacteristic
1385C2×D4C24×C3711yescharacteristic
1386C2×D4C24×C3711yescharacteristic
1387C2×D4C24×C3711yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4C2×D4×C3711yescharacteristic
1404C22×C4C2×D4×C3711yescharacteristic
1405C22×C4C2×D4×C3711yescharacteristic
1406C22×C4C24×C3711yescharacteristic
1407C22×C4C24×C3711yescharacteristic
1408C22×C4C24×C3711yescharacteristic
1409C22×C4C24×C3711yescharacteristic
1410C22×C4C24×C3711yescharacteristic
1411Q16—41no—
1412Q16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417SD16—41no—
1418SD16—41no—
1419M16—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423M16—41no—
1424M16—41no—
1425C2×C8—41no—
1426C2×C8—41no—
1427C2×C8C24×C3711yescharacteristic
1428C2×C8C24×C3711yescharacteristic
1429C2×C8C24×C3711yescharacteristic
1430C2×C8C24×C3711yescharacteristic
1431C2×C8C24×C3711yescharacteristic
1432C2×C8C24×C3711yescharacteristic
1433C2×C8C24×C3711yescharacteristic
1434C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4C2×D4×C3711yescharacteristic
1468C4⋊C4C2×D4×C3711yescharacteristic
1469C4⋊C4C2×D4×C3711yescharacteristic
1470C4⋊C4C2×D4×C3711yescharacteristic
1471C4⋊C4C2×D4×C3711yescharacteristic
1472C4⋊C4C2×D4×C3711yescharacteristic
1473C4⋊C4C24×C3711yescharacteristic
1474C4⋊C4C24×C3711yescharacteristic
1475C4⋊C4C24×C3711yescharacteristic
1476C4⋊C4C24×C3711yescharacteristic
1477C4⋊C4C24×C3711yescharacteristic
1478C4⋊C4C24×C3711yescharacteristic
1479C4⋊C4C24×C3711yescharacteristic
1480C4⋊C4C24×C3711yescharacteristic
1481C4⋊C4C24×C3711yescharacteristic
1482C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4C2×D4×C3711yescharacteristic
1517C22⋊C4C2×D4×C3711yescharacteristic
1518C22⋊C4C2×D4×C3711yescharacteristic
1519C22⋊C4C2×D4×C3711yescharacteristic
1520C22⋊C4C2×D4×C3711yescharacteristic
1521C22⋊C4C2×D4×C3711yescharacteristic
1522C22⋊C4C2×D4×C3711yescharacteristic
1523C22⋊C4C2×D4×C3711yescharacteristic
1524C22⋊C4C2×D4×C3711yescharacteristic
1525C22⋊C4C2×D4×C3711yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42C24×C3711yescharacteristic
1540C42C24×C3711yescharacteristic
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23—81no—
1551C23—81no—
1552C23—81no—
1553C23C22×D4×C3711yescharacteristic
1554C23C22×D4×C3711yescharacteristic
1555C23C22×D4×C3711yescharacteristic
1556C23C22×D4×C3711yescharacteristic
1557C23C22×D4×C3711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—41no—
1565Q8—42no—
1566Q8—81no—
1567Q8—81no—
1568Q8—81no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—42no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4C22×D4×C3711yescharacteristic
1637C2×C4C22×D4×C3711yescharacteristic
1638C2×C4C22×D4×C3711yescharacteristic
1639C2×C4C22×D4×C3711yescharacteristic
1640C2×C4C22×D4×C3711yescharacteristic
1641C2×C4C22×D4×C3711yescharacteristic
1642C2×C4C22×D4×C3711yescharacteristic
1643C2×C4C22×D4×C3711yescharacteristic
1644C2×C4C22×D4×C3711yescharacteristic
1645C2×C4C25×C3711yescharacteristic
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—82no—
1679C22—162no—
1680C22—162no—
1681C22C23×D4×C3711yescharacteristic
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4C37×#58511yescharacteristic
1705C4C37×#58511yescharacteristic
1706C2—41no—
1707C2—41no—
1708C2—41no—
1709C2—41no—
1710C2—41no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2C37×#348511yescharacteristic
1715C2C37×#358511yescharacteristic
1716C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
prime radicalC37×#3542C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#525 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#3495C2semidirect
3. C37×#3357C2semidirect
4. C37×#3353C2semidirect
5. C37×#3352C2semidirect
6. C37×#3351C2semidirect
7. C37×#3349C2semidirect
8. C37×#3348C2semidirect
9. C37×#3346C2semidirect
10. C37×#3343C2semidirect
11. C37×#3333C2semidirect
12. C37×#3324C2semidirect
13. C37×#3323C2semidirect
14. C37×#3323C2semidirect
15. C37×#3317C2semidirect
16. C37×#3314C2semidirect
17. C37×#3311C2semidirect
18. C37×#3310C2semidirect
19. C37×#3243C2semidirect
20. C37×#3241C2semidirect
21. C37×#3201C2semidirect
22. C37×#3200C2semidirect
23. C37×#3196C2semidirect
24. C37×#3193C2semidirect
25. C37×#3126C2semidirect
26. C37×#3121C2semidirect
27. C37×#3098C2semidirect
28. C37×#3096C2semidirect
29. C37×#3094C2semidirect
30. C37×#3093C2semidirect
31. C37×#2978C2semidirect
35. C37×#556C22semidirect
37. C37×#554C22semidirect
38. C37×#554C22semidirect
44. C37×#552C22semidirect
45. C37×#552C22semidirect
46. C37×#552C22semidirect
56. C37×#544C22semidirect
64. C37×#536C22semidirect
72. C2×C22⋊Q8×C37C22semidirect
74. C37×#520C22semidirect
75. C37×#519C22semidirect
76. C2×#117×C37C22semidirect
77. C37×#501C22semidirect
78. C37×#501C22semidirect
79. C37×#500C22semidirect
80. C37×#499C22semidirect
81. C37×#490C22semidirect
82. C37×#489C22semidirect
83. C37×#488C22semidirect
84. C37×#486C22semidirect
85. C37×#485C22semidirect
86. C37×#485C22semidirect
87. C37×#485C22semidirect
88. C37×#485C22semidirect
89. C37×#485C22semidirect
90. C37×#485C22semidirect
91. C37×#485C22semidirect
92. C37×#485C22semidirect
93. C37×#485C22semidirect
94. C37×#484C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#484C22semidirect
98. C37×#484C22semidirect
99. C37×#483C22semidirect
104. C37×#482C22semidirect
105. C37×#482C22semidirect
106. C37×#482C22semidirect
107. C37×#482C22semidirect
108. C37×#482C22semidirect
109. C37×#482C22semidirect
110. C37×#482C22semidirect
112. C37×#481C22semidirect
113. C37×#481C22semidirect
114. C37×#481C22semidirect
117. C37×#480C22semidirect
118. C37×#480C22semidirect
119. C37×#480C22semidirect
120. C37×#480C22semidirect
121. C37×#479C22semidirect
122. C37×#479C22semidirect
123. C37×#479C22semidirect
124. C37×#478C22semidirect
125. C37×#478C22semidirect
126. C37×#478C22semidirect
127. C37×#477C22semidirect
128. C37×#477C22semidirect
129. C37×#476C22semidirect
130. C37×#475C22semidirect
131. C37×#474C22semidirect
132. C37×#474C22semidirect
133. C37×#470C22semidirect
134. C37×#470C22semidirect
135. C37×#470C22semidirect
140. C37×#468C22semidirect
141. C37×#468C22semidirect
142. C37×#468C22semidirect
143. C37×#468C22semidirect
144. C37×#468C22semidirect
145. C37×#467C22semidirect
146. C37×#465C22semidirect
147. C37×#465C22semidirect
148. C37×#465C22semidirect
149. C37×#464C22semidirect
150. C37×#464C22semidirect
151. C37×#460C22semidirect
152. C37×#460C22semidirect
153. C37×#452C22semidirect
154. C37×#452C22semidirect
155. C37×#452C22semidirect
156. C37×#452C22semidirect
157. C37×#451C22semidirect
160. C37×#450C22semidirect
161. C37×#450C22semidirect
163. C37×#448C22semidirect
164. C37×#448C22semidirect
165. C37×#441C22semidirect
166. C37×#440C22semidirect
167. C37×#440C22semidirect
168. C37×#440C22semidirect
169. C4×Q16×C37C22semidirect
170. C4×SD16×C37C22semidirect
171. C4×SD16×C37C22semidirect
172. C4×SD16×C37C22semidirect
174. C37×#436C22semidirect
175. C37×#436C22semidirect
176. C37×#436C22semidirect
178. C37×#435C22semidirect
179. C37×#435C22semidirect
180. C37×#435C22semidirect
181. C37×#433C22semidirect
182. C37×#433C22semidirect
183. C37×#428C22semidirect
184. C37×#428C22semidirect
185. C37×#428C22semidirect
186. C37×#428C22semidirect
187. C37×#428C22semidirect
188. C37×#428C22semidirect
189. C37×#427C22semidirect
190. C2×#107×C37C22semidirect
193. C37×#418C22semidirect
194. C37×#417C22semidirect
195. C37×#417C22semidirect
196. C37×#417C22semidirect
197. C37×#416C22semidirect
198. C2×#102×C37C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C37×#407C22semidirect
202. C37×#407C22semidirect
795. #61780C37direct (N × H)
849. #3495C2×C37semidirect
850. #3357C2×C37semidirect
851. #3353C2×C37semidirect
852. #3352C2×C37semidirect
853. #3351C2×C37semidirect
854. #3349C2×C37semidirect
855. #3348C2×C37semidirect
856. #3346C2×C37semidirect
857. #3343C2×C37semidirect
858. #3333C2×C37semidirect
859. #3324C2×C37semidirect
860. #3323C2×C37semidirect
861. #3323C2×C37semidirect
862. #3317C2×C37semidirect
863. #3314C2×C37semidirect
864. #3311C2×C37semidirect
865. #3310C2×C37semidirect
866. #3243C2×C37semidirect
867. #3241C2×C37semidirect
868. #3201C2×C37semidirect
869. #3200C2×C37semidirect
870. #3196C2×C37semidirect
871. #3193C2×C37semidirect
872. #3126C2×C37semidirect
873. #3121C2×C37semidirect
874. #3098C2×C37semidirect
875. #3096C2×C37semidirect
876. #3094C2×C37semidirect
877. #3093C2×C37semidirect
878. #2978C2×C37semidirect
893. #556C22×C37semidirect
895. #554C22×C37semidirect
896. #554C22×C37semidirect
902. #552C22×C37semidirect
903. #552C22×C37semidirect
904. #552C22×C37semidirect
914. #544C22×C37semidirect
922. #536C22×C37semidirect
930. C2×C22⋊Q8C22×C37semidirect
932. #520C22×C37semidirect
933. #519C22×C37semidirect
934. C2×#117C22×C37semidirect
935. #501C22×C37semidirect
936. #501C22×C37semidirect
937. #500C22×C37semidirect
938. #499C22×C37semidirect
939. #490C22×C37semidirect
940. #489C22×C37semidirect
941. #488C22×C37semidirect
942. #486C22×C37semidirect
943. #485C22×C37semidirect
944. #485C22×C37semidirect
945. #485C22×C37semidirect
946. #485C22×C37semidirect
947. #485C22×C37semidirect
948. #485C22×C37semidirect
949. #485C22×C37semidirect
950. #485C22×C37semidirect
951. #485C22×C37semidirect
952. #484C22×C37semidirect
953. #484C22×C37semidirect
954. #484C22×C37semidirect
955. #484C22×C37semidirect
956. #484C22×C37semidirect
957. #483C22×C37semidirect
962. #482C22×C37semidirect
963. #482C22×C37semidirect
964. #482C22×C37semidirect
965. #482C22×C37semidirect
966. #482C22×C37semidirect
967. #482C22×C37semidirect
968. #482C22×C37semidirect
970. #481C22×C37semidirect
971. #481C22×C37semidirect
972. #481C22×C37semidirect
975. #480C22×C37semidirect
976. #480C22×C37semidirect
977. #480C22×C37semidirect
978. #480C22×C37semidirect
979. #479C22×C37semidirect
980. #479C22×C37semidirect
981. #479C22×C37semidirect
982. #478C22×C37semidirect
983. #478C22×C37semidirect
984. #478C22×C37semidirect
985. #477C22×C37semidirect
986. #477C22×C37semidirect
987. #476C22×C37semidirect
988. #475C22×C37semidirect
989. #474C22×C37semidirect
990. #474C22×C37semidirect
991. #470C22×C37semidirect
992. #470C22×C37semidirect
993. #470C22×C37semidirect
998. #468C22×C37semidirect
999. #468C22×C37semidirect
1000. #468C22×C37semidirect
1001. #468C22×C37semidirect
1002. #468C22×C37semidirect
1003. #467C22×C37semidirect
1004. #465C22×C37semidirect
1005. #465C22×C37semidirect
1006. #465C22×C37semidirect
1007. #464C22×C37semidirect
1008. #464C22×C37semidirect
1009. #460C22×C37semidirect
1010. #460C22×C37semidirect
1011. #452C22×C37semidirect
1012. #452C22×C37semidirect
1013. #452C22×C37semidirect
1014. #452C22×C37semidirect
1015. #451C22×C37semidirect
1018. #450C22×C37semidirect
1019. #450C22×C37semidirect
1021. #448C22×C37semidirect
1022. #448C22×C37semidirect
1023. #441C22×C37semidirect
1024. #440C22×C37semidirect
1025. #440C22×C37semidirect
1026. #440C22×C37semidirect
1027. C4×Q16C22×C37semidirect
1028. C4×SD16C22×C37semidirect
1029. C4×SD16C22×C37semidirect
1030. C4×SD16C22×C37semidirect
1032. #436C22×C37semidirect
1033. #436C22×C37semidirect
1034. #436C22×C37semidirect
1036. #435C22×C37semidirect
1037. #435C22×C37semidirect
1038. #435C22×C37semidirect
1039. #433C22×C37semidirect
1040. #433C22×C37semidirect
1041. #428C22×C37semidirect
1042. #428C22×C37semidirect
1043. #428C22×C37semidirect
1044. #428C22×C37semidirect
1045. #428C22×C37semidirect
1046. #428C22×C37semidirect
1047. #427C22×C37semidirect
1048. C2×#107C22×C37semidirect
1051. #418C22×C37semidirect
1052. #417C22×C37semidirect
1053. #417C22×C37semidirect
1054. #417C22×C37semidirect
1055. #416C22×C37semidirect
1056. C2×#102C22×C37semidirect
1057. #408C22×C37semidirect
1058. #408C22×C37semidirect
1059. #407C22×C37semidirect
1060. #407C22×C37semidirect
1061. C37#61780direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35422
C37×#34952
C37×#33572
C37×#33532
C37×#33522
C37×#33512
C37×#33492
C37×#33482
C37×#33462
C37×#33432
C37×#33332
C37×#33242
C37×#33232
C37×#33172
C37×#33142
C37×#33112
C37×#33102
C37×#32432
C37×#32412
C37×#32012
C37×#32002
C37×#31962
C37×#31932
C37×#31262
C37×#31212
C37×#30982
C37×#30962
C37×#30942
C37×#30932
C37×#29782
#6178037