Finite Group Databasebeta

← C37×#61790 #22683043

Subgroups — C37×#61790 #22683043

Order 9472.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3551C211yesmaximal, characteristic, complemented
2C37×#3512C211yesmaximal, characteristic, complemented
3C37×#3355C211yesmaximal, characteristic, complemented
4C37×#3352C211yesmaximal, characteristic, complemented
5C37×#3351C211yesmaximal, characteristic, complemented
6C37×#3351C211yesmaximal, characteristic, complemented
7C37×#3339C211yesmaximal, characteristic, complemented
8C37×#3337C211yesmaximal, characteristic, complemented
9C37×#3337C211yesmaximal, characteristic, complemented
10C37×#3336C211yesmaximal, characteristic, complemented
11C37×#3327C211yesmaximal, characteristic, complemented
12C37×#3326C211yesmaximal, characteristic, complemented
13C37×#3323C211yesmaximal, characteristic, complemented
14C37×#3322C211yesmaximal, characteristic, complemented
15C37×#3301C211yesmaximal, characteristic, complemented
16C37×#3300C211yesmaximal, characteristic, complemented
17C37×#3297C211yesmaximal, characteristic, complemented
18C37×#3296C211yesmaximal, characteristic, complemented
19C37×#3232C211yesmaximal, characteristic, complemented
20C37×#3232C211yesmaximal, characteristic, complemented
21C37×#3204C211yesmaximal, characteristic, complemented
22C37×#3203C211yesmaximal, characteristic, complemented
23C37×#3201C211yesmaximal, characteristic, complemented
24C37×#3198C211yesmaximal, characteristic, complemented
25C37×#3102C211yesmaximal, characteristic, complemented
26C37×#3102C211yesmaximal, characteristic, complemented
27C37×#3099C211yesmaximal, characteristic, complemented
28C37×#3098C211yesmaximal, characteristic, complemented
29C37×#3097C211yesmaximal, characteristic, complemented
30C37×#3096C211yesmaximal, characteristic, complemented
31C37×#2979C211yesmaximal, characteristic, complemented
32C37×#563—21no—
33C37×#560—21no—
34C37×#555—21no—
35C37×#553—21no—
36C37×#553—21no—
37C37×#553—21no—
38C37×#553—21no—
39C37×#553C2211yescharacteristic
40C37×#553C2211yescharacteristic
41C37×#553C2211yescharacteristic
42C37×#553C2211yescharacteristic
43C37×#553C2211yescharacteristic, complemented
44C37×#553C2211yescharacteristic, complemented
45C37×#552C2211yescharacteristic
46C37×#552C2211yescharacteristic
47C37×#552C2211yescharacteristic
48C37×#552C2211yescharacteristic
49C37×#552C2211yescharacteristic, complemented
50C37×#552C2211yescharacteristic, complemented
51C37×#551—21no—
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic
54C37×#546C2211yescharacteristic
55C37×#546C2211yescharacteristic
56C37×#541—21no—
57C37×#540—21no—
58C37×#540—21no—
59C37×#540—21no—
60C37×#538—21no—
61C37×#538—21no—
62C37×#537C2211yescharacteristic
63C37×#537C2211yescharacteristic
64C37×#537C2211yescharacteristic
65C37×#537C2211yescharacteristic, complemented
66C37×#536C2211yescharacteristic
67C37×#535C2211yescharacteristic
68C37×#532C2211yescharacteristic
69C37×#529—21no—
70C37×#529—21no—
71C37×#529C2211yescharacteristic
72C37×#529C2211yescharacteristic
73C2×#125×C37C2211yescharacteristic, complemented
74C37×#520C2211yescharacteristic
75C37×#520C2211yescharacteristic, complemented
76C4×#41×C37C2211yescharacteristic, complemented
77C37×#499C2211yescharacteristic, complemented
78C37×#499C2211yescharacteristic, complemented
79C37×#499C2211yescharacteristic, complemented
80C37×#499C2211yescharacteristic, complemented
81C37×#488C2211yescharacteristic
82C37×#488C2211yescharacteristic
83C37×#488C2211yescharacteristic
84C37×#488C2211yescharacteristic
85C37×#485C2211yescharacteristic
86C37×#485C2211yescharacteristic
87C37×#485C2211yescharacteristic
88C37×#485C2211yescharacteristic, complemented
89C37×#485C2211yescharacteristic, complemented
90C37×#485C2211yescharacteristic, complemented
91C37×#485C2211yescharacteristic, complemented
92C37×#485C2211yescharacteristic, complemented
93C37×#484C2211yescharacteristic
94C37×#484C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#484C2211yescharacteristic, complemented
98C37×#483C2211yescharacteristic
99C37×#483C2211yescharacteristic, complemented
100C37×#483C2211yescharacteristic, complemented
101C37×#483C2211yescharacteristic, complemented
102C37×#483C2211yescharacteristic, complemented
103C37×#482C2211yescharacteristic
104C37×#482C2211yescharacteristic
105C37×#482C2211yescharacteristic
106C37×#482C2211yescharacteristic
107C37×#482C2211yescharacteristic
108C37×#482C2211yescharacteristic
109C37×#482C2211yescharacteristic
110C37×#482C2211yescharacteristic, complemented
111C37×#481C2211yescharacteristic
112C37×#481C2211yescharacteristic
113C37×#481C2211yescharacteristic
114C37×#481C2211yescharacteristic
115C37×#481C2211yescharacteristic, complemented
116C37×#480C2211yescharacteristic
117C37×#480C2211yescharacteristic
118C37×#480C2211yescharacteristic
119C37×#480C2211yescharacteristic
120C37×#480C2211yescharacteristic, complemented
121C37×#479C2211yescharacteristic, complemented
122C37×#479C2211yescharacteristic, complemented
123C37×#479C2211yescharacteristic, complemented
124C37×#479C2211yescharacteristic, complemented
125C37×#479C2211yescharacteristic, complemented
126C37×#479C2211yescharacteristic, complemented
127C37×#478C2211yescharacteristic
128C37×#478C2211yescharacteristic
129C37×#478C2211yescharacteristic
130C37×#478C2211yescharacteristic
131C37×#478C2211yescharacteristic, complemented
132C37×#478C2211yescharacteristic, complemented
133C37×#470C2211yescharacteristic
134C37×#470C2211yescharacteristic, complemented
135C37×#469C2211yescharacteristic
136C37×#469C2211yescharacteristic
137C37×#468C2211yescharacteristic
138C37×#468C2211yescharacteristic
139C37×#468C2211yescharacteristic
140C37×#468C2211yescharacteristic, complemented
141C37×#467C2211yescharacteristic
142C37×#467C2211yescharacteristic, complemented
143C37×#466C2211yescharacteristic
144C37×#466C2211yescharacteristic
145C37×#465C2211yescharacteristic
146C37×#465C2211yescharacteristic
147C37×#465C2211yescharacteristic
148C37×#465C2211yescharacteristic, complemented
149C37×#464C2211yescharacteristic
150C37×#464C2211yescharacteristic
151C37×#463C2211yescharacteristic
152C37×#463C2211yescharacteristic
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic, complemented
156C37×#452C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic, complemented
158C37×#450C2211yescharacteristic
159C37×#449C2211yescharacteristic
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic
162C37×#449C2211yescharacteristic
163C37×#448C2211yescharacteristic, complemented
164C37×#447C2211yescharacteristic
165C4×Q16×C37C2211yescharacteristic, complemented
166C4×Q16×C37C2211yescharacteristic, complemented
167C4×SD16×C37C2211yescharacteristic
168C4×SD16×C37C2211yescharacteristic
169C4×SD16×C37C2211yescharacteristic, complemented
170C4×SD16×C37C2211yescharacteristic, complemented
171C4×D8×C37C2211yescharacteristic
172C4×D8×C37C2211yescharacteristic
173C37×#436C2211yescharacteristic
174C37×#436C2211yescharacteristic
175C37×#436C2211yescharacteristic, complemented
176C37×#436C2211yescharacteristic, complemented
177C8×D4×C37C2211yescharacteristic
178C8×D4×C37C2211yescharacteristic
179C8×D4×C37C2211yescharacteristic, complemented
180C8×D4×C37C2211yescharacteristic, complemented
181C37×#431C2211yescharacteristic, complemented
182C37×#431C2211yescharacteristic, complemented
183C37×#428C2211yescharacteristic
184C37×#428C2211yescharacteristic, complemented
185C37×#428C2211yescharacteristic, complemented
186C37×#428C2211yescharacteristic, complemented
187C37×#427C2211yescharacteristic
188C37×#427C2211yescharacteristic, complemented
189C2×#107×C37C2211yescharacteristic, complemented
190C2×#106×C37C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic, complemented
192C37×#418C2211yescharacteristic
193C37×#417C2211yescharacteristic
194C37×#417C2211yescharacteristic
195C37×#416C2211yescharacteristic
196C37×#416C2211yescharacteristic
197C2×#103×C37C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#408C2211yescharacteristic, complemented
202C37×#408C2211yescharacteristic, complemented
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C22×D4×C37C2311yescharacteristic
210C2×Q16×C37C2311yescharacteristic
211C2×Q16×C37C2311yescharacteristic
212C2×SD16×C37C2311yescharacteristic
213C2×SD16×C37C2311yescharacteristic
214C2×SD16×C37C2311yescharacteristic
215C2×SD16×C37C2311yescharacteristic
216C2×D8×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×C37D411yescharacteristic
228#127×C37—21no—
229#127×C37D411yescharacteristic
230#126×C37—21no—
231#126×C37—21no—
232#126×C37—21no—
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×C37C2311yescharacteristic
253#125×C37C2311yescharacteristic
254#125×C37C2311yescharacteristic
255#125×C37C2311yescharacteristic
256#125×C37C2311yescharacteristic
257#125×C37C2311yescharacteristic
258#124×C37—21no—
259#124×C37—21no—
260#124×C37—21no—
261#124×C37—21no—
262#124×C37D411yescharacteristic
263#124×C37D411yescharacteristic
264#124×C37C2311yescharacteristic
265#124×C37C2311yescharacteristic
266#123×C37—21no—
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×C37—21no—
284C22⋊Q8×C37—21no—
285C22⋊Q8×C37—21no—
286C22⋊Q8×C37—21no—
287C22⋊Q8×C37—21no—
288C22⋊Q8×C37—21no—
289C22⋊Q8×C37—21no—
290C22⋊Q8×C37C2311yescharacteristic
291C22⋊Q8×C37C2311yescharacteristic
292C22⋊Q8×C37C2311yescharacteristic
293C22⋊Q8×C37C2311yescharacteristic
294C22⋊Q8×C37C2311yescharacteristic
295C22⋊Q8×C37C2311yescharacteristic
296C22⋊Q8×C37C2311yescharacteristic
297C22⋊Q8×C37C2311yescharacteristic
298C22⋊Q8×C37C2311yescharacteristic
299C22⋊Q8×C37C2311yescharacteristic
300#121×C37—21no—
301#121×C37—21no—
302#121×C37—21no—
303#121×C37—21no—
304#121×C37—21no—
305#121×C37—21no—
306#121×C37—21no—
307#121×C37—21no—
308#121×C37—21no—
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×C37D411yescharacteristic
323#121×C37D411yescharacteristic
324#121×C37D411yescharacteristic
325#121×C37D411yescharacteristic
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#121×C37C2311yescharacteristic
335#121×C37C2311yescharacteristic
336#120×C37—21no—
337#120×C37—21no—
338#120×C37—21no—
339#120×C37—21no—
340C4×Q8×C37—21no—
341C4×Q8×C37—21no—
342C4×Q8×C37C2311yescharacteristic
343C4×Q8×C37C2311yescharacteristic
344C4×Q8×C37C2311yescharacteristic
345C4×Q8×C37C2311yescharacteristic
346C4×D4×C37—21no—
347C4×D4×C37—21no—
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×C37C2311yescharacteristic
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×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×C37—21no—
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×C4⋊C4×C37C2311yescharacteristic
397C2×C4⋊C4×C37C2311yescharacteristic
398C2×C22⋊C4×C37—21no—
399C2×C22⋊C4×C37—21no—
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#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
474C4×C8×C37C2311yescharacteristic
475C4×C8×C37C2311yescharacteristic
476C4×C8×C37C2311yescharacteristic
477C4×C8×C37C2311yescharacteristic
478C24×C37—21no—
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—
488#41×C37—41no—
489C2×Q8×C37—21no—
490C2×Q8×C37—41no—
491C2×Q8×C37—41no—
492C2×Q8×C37C2×D411yescharacteristic
493C2×Q8×C37C2×D411yescharacteristic
494C2×Q8×C37C2411yescharacteristic
495C2×Q8×C37C2411yescharacteristic
496C2×Q8×C37C2411yescharacteristic
497C2×D4×C37—21no—
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—41no—
512C2×D4×C37—41no—
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×C37C2×D411yescharacteristic
522C2×D4×C37C2×D411yescharacteristic
523C2×D4×C37C2411yescharacteristic
524C2×D4×C37C2411yescharacteristic
525C2×D4×C37C2411yescharacteristic
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×C37—21no—
540C22×C4×C37—21no—
541C22×C4×C37—21no—
542C22×C4×C37C2×D411yescharacteristic
543C22×C4×C37C2×D411yescharacteristic
544C22×C4×C37C2411yescharacteristic
545C22×C4×C37C2411yescharacteristic
546C22×C4×C37C2411yescharacteristic
547C22×C4×C37C2411yescharacteristic
548C22×C4×C37C2411yescharacteristic
549Q16×C37—41no—
550Q16×C37—41no—
551SD16×C37—41no—
552SD16×C37—41no—
553SD16×C37—41no—
554SD16×C37—41no—
555D8×C37—41no—
556D8×C37—41no—
557M16×C37—41no—
558M16×C37—41no—
559M16×C37—41no—
560M16×C37—41no—
561C2×C8×C37—41no—
562C2×C8×C37—41no—
563C2×C8×C37—41no—
564C2×C8×C37—41no—
565C2×C8×C37C2411yescharacteristic
566C2×C8×C37C2411yescharacteristic
567C2×C8×C37C2411yescharacteristic
568C2×C8×C37C2411yescharacteristic
569C2×C8×C37C2411yescharacteristic
570C2×C8×C37C2411yescharacteristic
571C2×C8×C37C2411yescharacteristic
572C2×C8×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
608C4⋊C4×C37C2×D411yescharacteristic
609C4⋊C4×C37C2×D411yescharacteristic
610C4⋊C4×C37C2×D411yescharacteristic
611C4⋊C4×C37C2411yescharacteristic
612C4⋊C4×C37C2411yescharacteristic
613C4⋊C4×C37C2411yescharacteristic
614C4⋊C4×C37C2411yescharacteristic
615C4⋊C4×C37C2411yescharacteristic
616C4⋊C4×C37C2411yescharacteristic
617C4⋊C4×C37C2411yescharacteristic
618C4⋊C4×C37C2411yescharacteristic
619C4⋊C4×C37C2411yescharacteristic
620C4⋊C4×C37C2411yescharacteristic
621C22⋊C4×C37—21no—
622C22⋊C4×C37—21no—
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×C37—21no—
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
663C22⋊C4×C37C2×D411yescharacteristic
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×C37—21no—
682C23×C37—81no—
683C23×C37—81no—
684C23×C37—81no—
685C23×C37C22×D411yescharacteristic
686C23×C37C22×D411yescharacteristic
687C23×C37C22×D411yescharacteristic
688C23×C37C22×D411yescharacteristic
689C23×C37C22×D411yescharacteristic
690Q8×C37—21no—
691Q8×C37—21no—
692Q8×C37—21no—
693Q8×C37—21no—
694Q8×C37—21no—
695Q8×C37—21no—
696Q8×C37—41no—
697Q8×C37—41no—
698Q8×C37—81no—
699D4×C37—21no—
700D4×C37—21no—
701D4×C37—21no—
702D4×C37—21no—
703D4×C37—21no—
704D4×C37—21no—
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—41no—
714D4×C37—41no—
715D4×C37—42no—
716D4×C37—81no—
717D4×C37—81no—
718D4×C37—81no—
719D4×C37—81no—
720D4×C37—81no—
721D4×C37—81no—
722D4×C37—81no—
723D4×C37—81no—
724D4×C37—81no—
725D4×C37—81no—
726D4×C37—81no—
727D4×C37—81no—
728D4×C37—81no—
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—21no—
748C2×C4×C37—21no—
749C2×C4×C37—21no—
750C2×C4×C37—21no—
751C2×C4×C37—21no—
752C2×C4×C37—41no—
753C2×C4×C37—41no—
754C2×C4×C37—42no—
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×C37—81no—
766C2×C4×C37—81no—
767C2×C4×C37—81no—
768C2×C4×C37—81no—
769C2×C4×C37—81no—
770C2×C4×C37C22×D411yescharacteristic
771C2×C4×C37C22×D411yescharacteristic
772C2×C4×C37C22×D411yescharacteristic
773C2×C4×C37C22×D411yescharacteristic
774C2×C4×C37C22×D411yescharacteristic
775C2×C4×C37C22×D411yescharacteristic
776C2×C4×C37C22×D411yescharacteristic
777C2×C4×C37C22×D411yescharacteristic
778C2×C4×C37C22×D411yescharacteristic
779C2×C4×C37C2511yescharacteristic
780C8×C37—21no—
781C8×C37—21no—
782C8×C37—21no—
783C8×C37—21no—
784C8×C37—21no—
785C8×C37—21no—
786C8×C37—21no—
787C8×C37—21no—
788#61790C3711yesmaximal, characteristic, direct product factor, Sylow
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—21no—
800C22×C37—21no—
801C22×C37—21no—
802C22×C37—21no—
803C22×C37—21no—
804C22×C37—41no—
805C22×C37—41no—
806C22×C37—41no—
807C22×C37—41no—
808C22×C37—41no—
809C22×C37—41no—
810C22×C37—41no—
811C22×C37—41no—
812C22×C37—41no—
813C22×C37—162no—
814C22×C37C23×D411yescharacteristic
815C4×C37—21no—
816C4×C37—21no—
817C4×C37—21no—
818C4×C37—21no—
819C4×C37—21no—
820C4×C37—21no—
821C4×C37—21no—
822C4×C37—21no—
823C4×C37—21no—
824C4×C37—41no—
825C4×C37—41no—
826C4×C37—41no—
827C4×C37—41no—
828C4×C37—41no—
829C4×C37—41no—
830C4×C37—41no—
831C4×C37—41no—
832C4×C37—41no—
833C4×C37—41no—
834C4×C37—41no—
835C4×C37—41no—
836C4×C37—41no—
837C4×C37#58511yescharacteristic
838C4×C37#58511yescharacteristic
839#3551C2×C3711yescharacteristic, complemented
840#3512C2×C3711yescharacteristic, complemented
841#3355C2×C3711yescharacteristic, complemented
842#3352C2×C3711yescharacteristic, complemented
843#3351C2×C3711yescharacteristic, complemented
844#3351C2×C3711yescharacteristic, complemented
845#3339C2×C3711yescharacteristic, complemented
846#3337C2×C3711yescharacteristic, complemented
847#3337C2×C3711yescharacteristic, complemented
848#3336C2×C3711yescharacteristic, complemented
849#3327C2×C3711yescharacteristic, complemented
850#3326C2×C3711yescharacteristic, complemented
851#3323C2×C3711yescharacteristic, complemented
852#3322C2×C3711yescharacteristic, complemented
853#3301C2×C3711yescharacteristic, complemented
854#3300C2×C3711yescharacteristic, complemented
855#3297C2×C3711yescharacteristic, complemented
856#3296C2×C3711yescharacteristic, complemented
857#3232C2×C3711yescharacteristic, complemented
858#3232C2×C3711yescharacteristic, complemented
859#3204C2×C3711yescharacteristic, complemented
860#3203C2×C3711yescharacteristic, complemented
861#3201C2×C3711yescharacteristic, complemented
862#3198C2×C3711yescharacteristic, complemented
863#3102C2×C3711yescharacteristic, complemented
864#3102C2×C3711yescharacteristic, complemented
865#3099C2×C3711yescharacteristic, complemented
866#3098C2×C3711yescharacteristic, complemented
867#3097C2×C3711yescharacteristic, complemented
868#3096C2×C3711yescharacteristic, complemented
869#2979C2×C3711yescharacteristic, complemented
870C2×C37—41no—
871C2×C37—41no—
872C2×C37—41no—
873C2×C37—41no—
874C2×C37—41no—
875C2×C37—81no—
876C2×C37—81no—
877C2×C37—81no—
878C2×C37#348511yescharacteristic
879C2×C37#358411yescharacteristic
880C2×C37#358411yescharacteristic
881#563—21no—
882#560—21no—
883#555—21no—
884#553—21no—
885#553—21no—
886#553—21no—
887#553—21no—
888#553C22×C3711yescharacteristic
889#553C22×C3711yescharacteristic
890#553C22×C3711yescharacteristic
891#553C22×C3711yescharacteristic
892#553C22×C3711yescharacteristic, complemented
893#553C22×C3711yescharacteristic, complemented
894#552C22×C3711yescharacteristic
895#552C22×C3711yescharacteristic
896#552C22×C3711yescharacteristic
897#552C22×C3711yescharacteristic
898#552C22×C3711yescharacteristic, complemented
899#552C22×C3711yescharacteristic, complemented
900#551—21no—
901#548C22×C3711yescharacteristic
902#548C22×C3711yescharacteristic
903#546C22×C3711yescharacteristic
904#546C22×C3711yescharacteristic
905#541—21no—
906#540—21no—
907#540—21no—
908#540—21no—
909#538—21no—
910#538—21no—
911#537C22×C3711yescharacteristic
912#537C22×C3711yescharacteristic
913#537C22×C3711yescharacteristic
914#537C22×C3711yescharacteristic, complemented
915#536C22×C3711yescharacteristic
916#535C22×C3711yescharacteristic
917#532C22×C3711yescharacteristic
918#529—21no—
919#529—21no—
920#529C22×C3711yescharacteristic
921#529C22×C3711yescharacteristic
922C2×#125C22×C3711yescharacteristic, complemented
923#520C22×C3711yescharacteristic
924#520C22×C3711yescharacteristic, complemented
925C4×#41C22×C3711yescharacteristic, complemented
926#499C22×C3711yescharacteristic, complemented
927#499C22×C3711yescharacteristic, complemented
928#499C22×C3711yescharacteristic, complemented
929#499C22×C3711yescharacteristic, complemented
930#488C22×C3711yescharacteristic
931#488C22×C3711yescharacteristic
932#488C22×C3711yescharacteristic
933#488C22×C3711yescharacteristic
934#485C22×C3711yescharacteristic
935#485C22×C3711yescharacteristic
936#485C22×C3711yescharacteristic
937#485C22×C3711yescharacteristic, complemented
938#485C22×C3711yescharacteristic, complemented
939#485C22×C3711yescharacteristic, complemented
940#485C22×C3711yescharacteristic, complemented
941#485C22×C3711yescharacteristic, complemented
942#484C22×C3711yescharacteristic
943#484C22×C3711yescharacteristic, complemented
944#484C22×C3711yescharacteristic, complemented
945#484C22×C3711yescharacteristic, complemented
946#484C22×C3711yescharacteristic, complemented
947#483C22×C3711yescharacteristic
948#483C22×C3711yescharacteristic, complemented
949#483C22×C3711yescharacteristic, complemented
950#483C22×C3711yescharacteristic, complemented
951#483C22×C3711yescharacteristic, complemented
952#482C22×C3711yescharacteristic
953#482C22×C3711yescharacteristic
954#482C22×C3711yescharacteristic
955#482C22×C3711yescharacteristic
956#482C22×C3711yescharacteristic
957#482C22×C3711yescharacteristic
958#482C22×C3711yescharacteristic
959#482C22×C3711yescharacteristic, complemented
960#481C22×C3711yescharacteristic
961#481C22×C3711yescharacteristic
962#481C22×C3711yescharacteristic
963#481C22×C3711yescharacteristic
964#481C22×C3711yescharacteristic, complemented
965#480C22×C3711yescharacteristic
966#480C22×C3711yescharacteristic
967#480C22×C3711yescharacteristic
968#480C22×C3711yescharacteristic
969#480C22×C3711yescharacteristic, complemented
970#479C22×C3711yescharacteristic, complemented
971#479C22×C3711yescharacteristic, complemented
972#479C22×C3711yescharacteristic, complemented
973#479C22×C3711yescharacteristic, complemented
974#479C22×C3711yescharacteristic, complemented
975#479C22×C3711yescharacteristic, complemented
976#478C22×C3711yescharacteristic
977#478C22×C3711yescharacteristic
978#478C22×C3711yescharacteristic
979#478C22×C3711yescharacteristic
980#478C22×C3711yescharacteristic, complemented
981#478C22×C3711yescharacteristic, complemented
982#470C22×C3711yescharacteristic
983#470C22×C3711yescharacteristic, complemented
984#469C22×C3711yescharacteristic
985#469C22×C3711yescharacteristic
986#468C22×C3711yescharacteristic
987#468C22×C3711yescharacteristic
988#468C22×C3711yescharacteristic
989#468C22×C3711yescharacteristic, complemented
990#467C22×C3711yescharacteristic
991#467C22×C3711yescharacteristic, complemented
992#466C22×C3711yescharacteristic
993#466C22×C3711yescharacteristic
994#465C22×C3711yescharacteristic
995#465C22×C3711yescharacteristic
996#465C22×C3711yescharacteristic
997#465C22×C3711yescharacteristic, complemented
998#464C22×C3711yescharacteristic
999#464C22×C3711yescharacteristic
1000#463C22×C3711yescharacteristic
1001#463C22×C3711yescharacteristic
1002#452C22×C3711yescharacteristic
1003#452C22×C3711yescharacteristic
1004#452C22×C3711yescharacteristic, complemented
1005#452C22×C3711yescharacteristic, complemented
1006#451C22×C3711yescharacteristic, complemented
1007#450C22×C3711yescharacteristic
1008#449C22×C3711yescharacteristic
1009#449C22×C3711yescharacteristic
1010#449C22×C3711yescharacteristic
1011#449C22×C3711yescharacteristic
1012#448C22×C3711yescharacteristic, complemented
1013#447C22×C3711yescharacteristic
1014C4×Q16C22×C3711yescharacteristic, complemented
1015C4×Q16C22×C3711yescharacteristic, complemented
1016C4×SD16C22×C3711yescharacteristic
1017C4×SD16C22×C3711yescharacteristic
1018C4×SD16C22×C3711yescharacteristic, complemented
1019C4×SD16C22×C3711yescharacteristic, complemented
1020C4×D8C22×C3711yescharacteristic
1021C4×D8C22×C3711yescharacteristic
1022#436C22×C3711yescharacteristic
1023#436C22×C3711yescharacteristic
1024#436C22×C3711yescharacteristic, complemented
1025#436C22×C3711yescharacteristic, complemented
1026C8×D4C22×C3711yescharacteristic
1027C8×D4C22×C3711yescharacteristic
1028C8×D4C22×C3711yescharacteristic, complemented
1029C8×D4C22×C3711yescharacteristic, complemented
1030#431C22×C3711yescharacteristic, complemented
1031#431C22×C3711yescharacteristic, complemented
1032#428C22×C3711yescharacteristic
1033#428C22×C3711yescharacteristic, complemented
1034#428C22×C3711yescharacteristic, complemented
1035#428C22×C3711yescharacteristic, complemented
1036#427C22×C3711yescharacteristic
1037#427C22×C3711yescharacteristic, complemented
1038C2×#107C22×C3711yescharacteristic, complemented
1039C2×#106C22×C3711yescharacteristic, complemented
1040#419C22×C3711yescharacteristic, complemented
1041#418C22×C3711yescharacteristic
1042#417C22×C3711yescharacteristic
1043#417C22×C3711yescharacteristic
1044#416C22×C3711yescharacteristic
1045#416C22×C3711yescharacteristic
1046C2×#103C22×C3711yescharacteristic, complemented
1047C2×#102C22×C3711yescharacteristic
1048#408C22×C3711yescharacteristic
1049#408C22×C3711yescharacteristic
1050#408C22×C3711yescharacteristic, complemented
1051#408C22×C3711yescharacteristic, complemented
1052C37#6179011yescharacteristic, direct product factor, Sylow
1053C2×#41C23×C3711yescharacteristic
1054C2×#41C23×C3711yescharacteristic
1055C2×#41C23×C3711yescharacteristic
1056C2×#41C23×C3711yescharacteristic
1057C2×#41C23×C3711yescharacteristic
1058C22×Q8C23×C3711yescharacteristic
1059C22×D4C23×C3711yescharacteristic
1060C2×Q16C23×C3711yescharacteristic
1061C2×Q16C23×C3711yescharacteristic
1062C2×SD16C23×C3711yescharacteristic
1063C2×SD16C23×C3711yescharacteristic
1064C2×SD16C23×C3711yescharacteristic
1065C2×SD16C23×C3711yescharacteristic
1066C2×D8C23×C3711yescharacteristic
1067C2×D8C23×C3711yescharacteristic
1068C2×M16C23×C3711yescharacteristic
1069C2×M16C23×C3711yescharacteristic
1070C2×M16C23×C3711yescharacteristic
1071C2×M16C23×C3711yescharacteristic
1072C22×C8C23×C3711yescharacteristic
1073C22×C8C23×C3711yescharacteristic
1074C22×C8C23×C3711yescharacteristic
1075C22×C8C23×C3711yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8D4×C3711yescharacteristic
1078#127—21no—
1079#127D4×C3711yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125C23×C3711yescharacteristic
1103#125C23×C3711yescharacteristic
1104#125C23×C3711yescharacteristic
1105#125C23×C3711yescharacteristic
1106#125C23×C3711yescharacteristic
1107#125C23×C3711yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124D4×C3711yescharacteristic
1113#124D4×C3711yescharacteristic
1114#124C23×C3711yescharacteristic
1115#124C23×C3711yescharacteristic
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—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
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#121—21no—
1171#121—21no—
1172#121D4×C3711yescharacteristic
1173#121D4×C3711yescharacteristic
1174#121D4×C3711yescharacteristic
1175#121D4×C3711yescharacteristic
1176#121C23×C3711yescharacteristic
1177#121C23×C3711yescharacteristic
1178#121C23×C3711yescharacteristic
1179#121C23×C3711yescharacteristic
1180#121C23×C3711yescharacteristic
1181#121C23×C3711yescharacteristic
1182#121C23×C3711yescharacteristic
1183#121C23×C3711yescharacteristic
1184#121C23×C3711yescharacteristic
1185#121C23×C3711yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—21no—
1189#120—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8C23×C3711yescharacteristic
1193C4×Q8C23×C3711yescharacteristic
1194C4×Q8C23×C3711yescharacteristic
1195C4×Q8C23×C3711yescharacteristic
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×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4C23×C3711yescharacteristic
1215C4×D4C23×C3711yescharacteristic
1216C4×D4C23×C3711yescharacteristic
1217C4×D4C23×C3711yescharacteristic
1218C4×D4C23×C3711yescharacteristic
1219C4×D4C23×C3711yescharacteristic
1220C4×D4C23×C3711yescharacteristic
1221C4×D4C23×C3711yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117C23×C3711yescharacteristic
1232#117C23×C3711yescharacteristic
1233#117C23×C3711yescharacteristic
1234#117C23×C3711yescharacteristic
1235#117C23×C3711yescharacteristic
1236#117C23×C3711yescharacteristic
1237#117C23×C3711yescharacteristic
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C3711yescharacteristic
1241C2×C4⋊C4C23×C3711yescharacteristic
1242C2×C4⋊C4C23×C3711yescharacteristic
1243C2×C4⋊C4C23×C3711yescharacteristic
1244C2×C4⋊C4C23×C3711yescharacteristic
1245C2×C4⋊C4C23×C3711yescharacteristic
1246C2×C4⋊C4C23×C3711yescharacteristic
1247C2×C4⋊C4C23×C3711yescharacteristic
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42C23×C3711yescharacteristic
1252#107C23×C3711yescharacteristic
1253#107C23×C3711yescharacteristic
1254#107C23×C3711yescharacteristic
1255#107C23×C3711yescharacteristic
1256#107C23×C3711yescharacteristic
1257#107C23×C3711yescharacteristic
1258#107C23×C3711yescharacteristic
1259#107C23×C3711yescharacteristic
1260#107C23×C3711yescharacteristic
1261#107C23×C3711yescharacteristic
1262#107C23×C3711yescharacteristic
1263#107C23×C3711yescharacteristic
1264#106C23×C3711yescharacteristic
1265#106C23×C3711yescharacteristic
1266#106C23×C3711yescharacteristic
1267#106C23×C3711yescharacteristic
1268#106C23×C3711yescharacteristic
1269#106C23×C3711yescharacteristic
1270#106C23×C3711yescharacteristic
1271#106C23×C3711yescharacteristic
1272#106C23×C3711yescharacteristic
1273#106C23×C3711yescharacteristic
1274#106C23×C3711yescharacteristic
1275#106C23×C3711yescharacteristic
1276C4⋊C8C23×C3711yescharacteristic
1277C4⋊C8C23×C3711yescharacteristic
1278C4⋊C8C23×C3711yescharacteristic
1279C4⋊C8C23×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#103C23×C3711yescharacteristic
1294#103C23×C3711yescharacteristic
1295#103C23×C3711yescharacteristic
1296#102C23×C3711yescharacteristic
1297#102C23×C3711yescharacteristic
1298#102C23×C3711yescharacteristic
1299#102C23×C3711yescharacteristic
1300#102C23×C3711yescharacteristic
1301#102C23×C3711yescharacteristic
1302#102C23×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
1312C22⋊C8C23×C3711yescharacteristic
1313C22⋊C8C23×C3711yescharacteristic
1314C22⋊C8C23×C3711yescharacteristic
1315C22⋊C8C23×C3711yescharacteristic
1316C22⋊C8C23×C3711yescharacteristic
1317C22⋊C8C23×C3711yescharacteristic
1318C22⋊C8C23×C3711yescharacteristic
1319C22⋊C8C23×C3711yescharacteristic
1320C22⋊C8C23×C3711yescharacteristic
1321C22⋊C8C23×C3711yescharacteristic
1322C22⋊C8C23×C3711yescharacteristic
1323C22⋊C8C23×C3711yescharacteristic
1324C4×C8C23×C3711yescharacteristic
1325C4×C8C23×C3711yescharacteristic
1326C4×C8C23×C3711yescharacteristic
1327C4×C8C23×C3711yescharacteristic
1328C24—21no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C3711yescharacteristic
1343C2×Q8C2×D4×C3711yescharacteristic
1344C2×Q8C24×C3711yescharacteristic
1345C2×Q8C24×C3711yescharacteristic
1346C2×Q8C24×C3711yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4C2×D4×C3711yescharacteristic
1364C2×D4C2×D4×C3711yescharacteristic
1365C2×D4C2×D4×C3711yescharacteristic
1366C2×D4C2×D4×C3711yescharacteristic
1367C2×D4C2×D4×C3711yescharacteristic
1368C2×D4C2×D4×C3711yescharacteristic
1369C2×D4C2×D4×C3711yescharacteristic
1370C2×D4C2×D4×C3711yescharacteristic
1371C2×D4C2×D4×C3711yescharacteristic
1372C2×D4C2×D4×C3711yescharacteristic
1373C2×D4C24×C3711yescharacteristic
1374C2×D4C24×C3711yescharacteristic
1375C2×D4C24×C3711yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4C2×D4×C3711yescharacteristic
1393C22×C4C2×D4×C3711yescharacteristic
1394C22×C4C24×C3711yescharacteristic
1395C22×C4C24×C3711yescharacteristic
1396C22×C4C24×C3711yescharacteristic
1397C22×C4C24×C3711yescharacteristic
1398C22×C4C24×C3711yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C3711yescharacteristic
1416C2×C8C24×C3711yescharacteristic
1417C2×C8C24×C3711yescharacteristic
1418C2×C8C24×C3711yescharacteristic
1419C2×C8C24×C3711yescharacteristic
1420C2×C8C24×C3711yescharacteristic
1421C2×C8C24×C3711yescharacteristic
1422C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4C2×D4×C3711yescharacteristic
1458C4⋊C4C2×D4×C3711yescharacteristic
1459C4⋊C4C2×D4×C3711yescharacteristic
1460C4⋊C4C2×D4×C3711yescharacteristic
1461C4⋊C4C24×C3711yescharacteristic
1462C4⋊C4C24×C3711yescharacteristic
1463C4⋊C4C24×C3711yescharacteristic
1464C4⋊C4C24×C3711yescharacteristic
1465C4⋊C4C24×C3711yescharacteristic
1466C4⋊C4C24×C3711yescharacteristic
1467C4⋊C4C24×C3711yescharacteristic
1468C4⋊C4C24×C3711yescharacteristic
1469C4⋊C4C24×C3711yescharacteristic
1470C4⋊C4C24×C3711yescharacteristic
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⋊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⋊C4C2×D4×C3711yescharacteristic
1507C22⋊C4C2×D4×C3711yescharacteristic
1508C22⋊C4C2×D4×C3711yescharacteristic
1509C22⋊C4C2×D4×C3711yescharacteristic
1510C22⋊C4C2×D4×C3711yescharacteristic
1511C22⋊C4C2×D4×C3711yescharacteristic
1512C22⋊C4C2×D4×C3711yescharacteristic
1513C22⋊C4C2×D4×C3711yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42C2×D4×C3711yescharacteristic
1526C42C2×D4×C3711yescharacteristic
1527C42C24×C3711yescharacteristic
1528C42C24×C3711yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—81no—
1533C23—81no—
1534C23—81no—
1535C23C22×D4×C3711yescharacteristic
1536C23C22×D4×C3711yescharacteristic
1537C23C22×D4×C3711yescharacteristic
1538C23C22×D4×C3711yescharacteristic
1539C23C22×D4×C3711yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—41no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
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—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C3711yescharacteristic
1621C2×C4C22×D4×C3711yescharacteristic
1622C2×C4C22×D4×C3711yescharacteristic
1623C2×C4C22×D4×C3711yescharacteristic
1624C2×C4C22×D4×C3711yescharacteristic
1625C2×C4C22×D4×C3711yescharacteristic
1626C2×C4C22×D4×C3711yescharacteristic
1627C2×C4C22×D4×C3711yescharacteristic
1628C2×C4C22×D4×C3711yescharacteristic
1629C2×C4C25×C3711yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—162no—
1663C22C23×D4×C3711yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4C37×#58511yescharacteristic
1687C4C37×#58511yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C37×#348511yescharacteristic
1697C2C37×#358411yescharacteristic
1698C2C37×#358411yescharacteristic
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×#3551C2semidirect
2. C37×#3512C2semidirect
3. C37×#3355C2semidirect
4. C37×#3352C2semidirect
5. C37×#3351C2semidirect
6. C37×#3351C2semidirect
7. C37×#3339C2semidirect
8. C37×#3337C2semidirect
9. C37×#3337C2semidirect
10. C37×#3336C2semidirect
11. C37×#3327C2semidirect
12. C37×#3326C2semidirect
13. C37×#3323C2semidirect
14. C37×#3322C2semidirect
15. C37×#3301C2semidirect
16. C37×#3300C2semidirect
17. C37×#3297C2semidirect
18. C37×#3296C2semidirect
19. C37×#3232C2semidirect
20. C37×#3232C2semidirect
21. C37×#3204C2semidirect
22. C37×#3203C2semidirect
23. C37×#3201C2semidirect
24. C37×#3198C2semidirect
25. C37×#3102C2semidirect
26. C37×#3102C2semidirect
27. C37×#3099C2semidirect
28. C37×#3098C2semidirect
29. C37×#3097C2semidirect
30. C37×#3096C2semidirect
31. C37×#2979C2semidirect
43. C37×#553C22semidirect
44. C37×#553C22semidirect
49. C37×#552C22semidirect
50. C37×#552C22semidirect
65. C37×#537C22semidirect
73. C2×#125×C37C22semidirect
75. C37×#520C22semidirect
76. C4×#41×C37C22semidirect
77. C37×#499C22semidirect
78. C37×#499C22semidirect
79. C37×#499C22semidirect
80. C37×#499C22semidirect
88. C37×#485C22semidirect
89. C37×#485C22semidirect
90. C37×#485C22semidirect
91. C37×#485C22semidirect
92. C37×#485C22semidirect
94. C37×#484C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#484C22semidirect
99. C37×#483C22semidirect
100. C37×#483C22semidirect
101. C37×#483C22semidirect
102. C37×#483C22semidirect
110. C37×#482C22semidirect
115. C37×#481C22semidirect
120. C37×#480C22semidirect
121. C37×#479C22semidirect
122. C37×#479C22semidirect
123. C37×#479C22semidirect
124. C37×#479C22semidirect
125. C37×#479C22semidirect
126. C37×#479C22semidirect
131. C37×#478C22semidirect
132. C37×#478C22semidirect
134. C37×#470C22semidirect
140. C37×#468C22semidirect
142. C37×#467C22semidirect
148. C37×#465C22semidirect
155. C37×#452C22semidirect
156. C37×#452C22semidirect
157. C37×#451C22semidirect
163. C37×#448C22semidirect
165. C4×Q16×C37C22semidirect
166. C4×Q16×C37C22semidirect
169. C4×SD16×C37C22semidirect
170. C4×SD16×C37C22semidirect
175. C37×#436C22semidirect
176. C37×#436C22semidirect
179. C8×D4×C37C22semidirect
180. C8×D4×C37C22semidirect
181. C37×#431C22semidirect
182. C37×#431C22semidirect
184. C37×#428C22semidirect
185. C37×#428C22semidirect
186. C37×#428C22semidirect
188. C37×#427C22semidirect
189. C2×#107×C37C22semidirect
190. C2×#106×C37C22semidirect
191. C37×#419C22semidirect
197. C2×#103×C37C22semidirect
201. C37×#408C22semidirect
202. C37×#408C22semidirect
788. #61790C37direct (N × H)
839. #3551C2×C37semidirect
840. #3512C2×C37semidirect
841. #3355C2×C37semidirect
842. #3352C2×C37semidirect
843. #3351C2×C37semidirect
844. #3351C2×C37semidirect
845. #3339C2×C37semidirect
846. #3337C2×C37semidirect
847. #3337C2×C37semidirect
848. #3336C2×C37semidirect
849. #3327C2×C37semidirect
850. #3326C2×C37semidirect
851. #3323C2×C37semidirect
852. #3322C2×C37semidirect
853. #3301C2×C37semidirect
854. #3300C2×C37semidirect
855. #3297C2×C37semidirect
856. #3296C2×C37semidirect
857. #3232C2×C37semidirect
858. #3232C2×C37semidirect
859. #3204C2×C37semidirect
860. #3203C2×C37semidirect
861. #3201C2×C37semidirect
862. #3198C2×C37semidirect
863. #3102C2×C37semidirect
864. #3102C2×C37semidirect
865. #3099C2×C37semidirect
866. #3098C2×C37semidirect
867. #3097C2×C37semidirect
868. #3096C2×C37semidirect
869. #2979C2×C37semidirect
892. #553C22×C37semidirect
893. #553C22×C37semidirect
898. #552C22×C37semidirect
899. #552C22×C37semidirect
914. #537C22×C37semidirect
922. C2×#125C22×C37semidirect
924. #520C22×C37semidirect
925. C4×#41C22×C37semidirect
926. #499C22×C37semidirect
927. #499C22×C37semidirect
928. #499C22×C37semidirect
929. #499C22×C37semidirect
937. #485C22×C37semidirect
938. #485C22×C37semidirect
939. #485C22×C37semidirect
940. #485C22×C37semidirect
941. #485C22×C37semidirect
943. #484C22×C37semidirect
944. #484C22×C37semidirect
945. #484C22×C37semidirect
946. #484C22×C37semidirect
948. #483C22×C37semidirect
949. #483C22×C37semidirect
950. #483C22×C37semidirect
951. #483C22×C37semidirect
959. #482C22×C37semidirect
964. #481C22×C37semidirect
969. #480C22×C37semidirect
970. #479C22×C37semidirect
971. #479C22×C37semidirect
972. #479C22×C37semidirect
973. #479C22×C37semidirect
974. #479C22×C37semidirect
975. #479C22×C37semidirect
980. #478C22×C37semidirect
981. #478C22×C37semidirect
983. #470C22×C37semidirect
989. #468C22×C37semidirect
991. #467C22×C37semidirect
997. #465C22×C37semidirect
1004. #452C22×C37semidirect
1005. #452C22×C37semidirect
1006. #451C22×C37semidirect
1012. #448C22×C37semidirect
1014. C4×Q16C22×C37semidirect
1015. C4×Q16C22×C37semidirect
1018. C4×SD16C22×C37semidirect
1019. C4×SD16C22×C37semidirect
1024. #436C22×C37semidirect
1025. #436C22×C37semidirect
1028. C8×D4C22×C37semidirect
1029. C8×D4C22×C37semidirect
1030. #431C22×C37semidirect
1031. #431C22×C37semidirect
1033. #428C22×C37semidirect
1034. #428C22×C37semidirect
1035. #428C22×C37semidirect
1037. #427C22×C37semidirect
1038. C2×#107C22×C37semidirect
1039. C2×#106C22×C37semidirect
1040. #419C22×C37semidirect
1046. C2×#103C22×C37semidirect
1050. #408C22×C37semidirect
1051. #408C22×C37semidirect
1052. C37#61790direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35512
C37×#35122
C37×#33552
C37×#33522
C37×#33512
C37×#33392
C37×#33372
C37×#33362
C37×#33272
C37×#33262
C37×#33232
C37×#33222
C37×#33012
C37×#33002
C37×#32972
C37×#32962
C37×#32322
C37×#32042
C37×#32032
C37×#32012
C37×#31982
C37×#31022
C37×#30992
C37×#30982
C37×#30972
C37×#30962
C37×#29792
#6179037