Finite Group Databasebeta

← C37×#61781 #22683034

Subgroups — C37×#61781 #22683034

Order 9472.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3541C211yesmaximal, characteristic
2C37×#3495C211yesmaximal, characteristic, complemented
3C37×#3356C211yesmaximal, characteristic, complemented
4C37×#3356C211yesmaximal, characteristic, complemented
5C37×#3352C211yesmaximal, characteristic, complemented
6C37×#3351C211yesmaximal, characteristic, complemented
7C37×#3350C211yesmaximal, characteristic, complemented
8C37×#3349C211yesmaximal, characteristic, complemented
9C37×#3344C211yesmaximal, characteristic, complemented
10C37×#3344C211yesmaximal, characteristic, complemented
11C37×#3331C211yesmaximal, characteristic, complemented
12C37×#3328C211yesmaximal, characteristic, complemented
13C37×#3327C211yesmaximal, characteristic, complemented
14C37×#3327C211yesmaximal, characteristic, complemented
15C37×#3316C211yesmaximal, characteristic, complemented
16C37×#3315C211yesmaximal, characteristic, complemented
17C37×#3313C211yesmaximal, characteristic, complemented
18C37×#3312C211yesmaximal, characteristic, complemented
19C37×#3244C211yesmaximal, characteristic, complemented
20C37×#3242C211yesmaximal, characteristic, complemented
21C37×#3202C211yesmaximal, characteristic, complemented
22C37×#3201C211yesmaximal, characteristic, complemented
23C37×#3196C211yesmaximal, characteristic, complemented
24C37×#3195C211yesmaximal, characteristic, complemented
25C37×#3127C211yesmaximal, characteristic, complemented
26C37×#3121C211yesmaximal, characteristic, complemented
27C37×#3099C211yesmaximal, characteristic, complemented
28C37×#3097C211yesmaximal, characteristic, complemented
29C37×#3095C211yesmaximal, characteristic, complemented
30C37×#3093C211yesmaximal, characteristic, complemented
31C37×#2978C211yesmaximal, characteristic, complemented
32C37×#563—21no—
33C37×#562—21no—
34C37×#556C2211yescharacteristic
35C37×#556C2211yescharacteristic
36C37×#556C2211yescharacteristic
37C37×#554—21no—
38C37×#554C2211yescharacteristic
39C37×#554C2211yescharacteristic
40C37×#554C2211yescharacteristic
41C37×#553—21no—
42C37×#553C2211yescharacteristic
43C37×#552—21no—
44C37×#552—21no—
45C37×#552C2211yescharacteristic
46C37×#552C2211yescharacteristic
47C37×#552C2211yescharacteristic
48C37×#552C2211yescharacteristic
49C37×#552C2211yescharacteristic
50C37×#551—21no—
51C37×#551—21no—
52D4×Q8×C37C2211yescharacteristic
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic
55C37×#547C2211yescharacteristic
56C37×#544C2211yescharacteristic
57C37×#542—21no—
58C37×#542—21no—
59C37×#542C2211yescharacteristic
60C37×#541—21no—
61C37×#541C2211yescharacteristic
62C37×#539—21no—
63C37×#538—21no—
64C37×#538—21no—
65C37×#537C2211yescharacteristic
66C37×#536C2211yescharacteristic
67C37×#536C2211yescharacteristic
68C37×#533—21no—
69C37×#529—21no—
70C37×#525C2211yescharacteristic
71C37×#525C2211yescharacteristic
72C2×C22⋊Q8×C37C2211yescharacteristic
73C2×C22⋊Q8×C37C2211yescharacteristic
74C37×#520C2211yescharacteristic
75C37×#519C2211yescharacteristic
76C2×#117×C37C2211yescharacteristic
77C37×#501C2211yescharacteristic, complemented
78C37×#501C2211yescharacteristic, complemented
79C37×#499C2211yescharacteristic, complemented
80C37×#498C2211yescharacteristic, complemented
81C37×#491C2211yescharacteristic, complemented
82C37×#489C2211yescharacteristic, complemented
83C37×#488C2211yescharacteristic, complemented
84C37×#487C2211yescharacteristic, complemented
85C37×#485C2211yescharacteristic
86C37×#485C2211yescharacteristic
87C37×#485C2211yescharacteristic
88C37×#485C2211yescharacteristic
89C37×#485C2211yescharacteristic
90C37×#485C2211yescharacteristic
91C37×#485C2211yescharacteristic
92C37×#485C2211yescharacteristic
93C37×#485C2211yescharacteristic
94C37×#485C2211yescharacteristic
95C37×#485C2211yescharacteristic, complemented
96C37×#485C2211yescharacteristic, complemented
97C37×#485C2211yescharacteristic, complemented
98C37×#485C2211yescharacteristic, complemented
99C37×#485C2211yescharacteristic, complemented
100C37×#484C2211yescharacteristic
101C37×#484C2211yescharacteristic
102C37×#484C2211yescharacteristic
103C37×#484C2211yescharacteristic, complemented
104C37×#484C2211yescharacteristic, complemented
105C37×#483C2211yescharacteristic
106C37×#483C2211yescharacteristic
107C37×#483C2211yescharacteristic
108C37×#483C2211yescharacteristic
109C37×#483C2211yescharacteristic
110C37×#483C2211yescharacteristic
111C37×#483C2211yescharacteristic, complemented
112C37×#483C2211yescharacteristic, complemented
113C37×#483C2211yescharacteristic, complemented
114C37×#482C2211yescharacteristic
115C37×#482C2211yescharacteristic
116C37×#482C2211yescharacteristic
117C37×#482C2211yescharacteristic
118C37×#482C2211yescharacteristic, complemented
119C37×#481C2211yescharacteristic
120C37×#481C2211yescharacteristic, complemented
121C37×#479C2211yescharacteristic, complemented
122C37×#479C2211yescharacteristic, complemented
123C37×#479C2211yescharacteristic, complemented
124C37×#479C2211yescharacteristic, complemented
125C37×#479C2211yescharacteristic, complemented
126C37×#478C2211yescharacteristic, complemented
127C37×#477C2211yescharacteristic, complemented
128C37×#477C2211yescharacteristic, complemented
129C37×#476C2211yescharacteristic, complemented
130C37×#475C2211yescharacteristic, complemented
131C37×#475C2211yescharacteristic, complemented
132C37×#475C2211yescharacteristic, complemented
133C37×#470C2211yescharacteristic
134C37×#470C2211yescharacteristic
135C37×#470C2211yescharacteristic
136C37×#470C2211yescharacteristic
137C37×#470C2211yescharacteristic
138C37×#470C2211yescharacteristic
139C37×#470C2211yescharacteristic, complemented
140C37×#470C2211yescharacteristic, complemented
141C37×#470C2211yescharacteristic, complemented
142C37×#468C2211yescharacteristic
143C37×#468C2211yescharacteristic
144C37×#468C2211yescharacteristic, complemented
145C37×#467C2211yescharacteristic, complemented
146C37×#467C2211yescharacteristic, complemented
147C37×#467C2211yescharacteristic, complemented
148C37×#465C2211yescharacteristic, complemented
149C37×#464C2211yescharacteristic, complemented
150C37×#464C2211yescharacteristic, complemented
151C37×#462C2211yescharacteristic, complemented
152C37×#462C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic, complemented
156C37×#452C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic
158C37×#451C2211yescharacteristic
159C37×#451C2211yescharacteristic
160C37×#451C2211yescharacteristic
161C37×#451C2211yescharacteristic
162C37×#451C2211yescharacteristic, complemented
163C37×#451C2211yescharacteristic, complemented
164C37×#448C2211yescharacteristic
165C37×#441C2211yescharacteristic, complemented
166C37×#441C2211yescharacteristic, complemented
167C37×#441C2211yescharacteristic, complemented
168C37×#440C2211yescharacteristic, complemented
169C4×Q16×C37C2211yescharacteristic, complemented
170C4×Q16×C37C2211yescharacteristic, complemented
171C4×Q16×C37C2211yescharacteristic, complemented
172C4×SD16×C37C2211yescharacteristic, complemented
173C37×#436C2211yescharacteristic
174C37×#436C2211yescharacteristic
175C37×#436C2211yescharacteristic
176C37×#436C2211yescharacteristic
177C37×#435C2211yescharacteristic
178C37×#435C2211yescharacteristic
179C37×#435C2211yescharacteristic
180C37×#435C2211yescharacteristic
181C37×#433C2211yescharacteristic
182C37×#433C2211yescharacteristic
183C37×#428C2211yescharacteristic
184C37×#428C2211yescharacteristic
185C37×#428C2211yescharacteristic
186C37×#428C2211yescharacteristic
187C37×#428C2211yescharacteristic, complemented
188C37×#428C2211yescharacteristic, complemented
189C37×#427C2211yescharacteristic, complemented
190C2×#106×C37C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic
192C37×#419C2211yescharacteristic
193C37×#419C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic
195C37×#417C2211yescharacteristic
196C37×#417C2211yescharacteristic, complemented
197C37×#416C2211yescharacteristic, complemented
198C2×#103×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#407C2211yescharacteristic
202C37×#407C2211yescharacteristic
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C22×Q8×C37C2311yescharacteristic
207C22×Q8×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C2×Q16×C37C2311yescharacteristic
211C2×Q16×C37C2311yescharacteristic
212C2×Q16×C37C2311yescharacteristic
213C2×Q16×C37C2311yescharacteristic
214C2×Q16×C37C2311yescharacteristic
215C2×Q16×C37C2311yescharacteristic
216C2×SD16×C37C2311yescharacteristic
217C2×SD16×C37C2311yescharacteristic
218C2×M16×C37C2311yescharacteristic
219C2×M16×C37C2311yescharacteristic
220C2×M16×C37C2311yescharacteristic
221C2×M16×C37C2311yescharacteristic
222C2×M16×C37C2311yescharacteristic
223C2×M16×C37C2311yescharacteristic
224C22×C8×C37C2311yescharacteristic
225C22×C8×C37C2311yescharacteristic
226C4⋊Q8×C37—21no—
227C4⋊Q8×C37—21no—
228C4⋊Q8×C37—21no—
229C4⋊Q8×C37—21no—
230C4⋊Q8×C37C2311yescharacteristic
231C4⋊Q8×C37C2311yescharacteristic
232C4⋊Q8×C37C2311yescharacteristic
233C4⋊Q8×C37C2311yescharacteristic
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#126×C37—21no—
245#126×C37—21no—
246#126×C37—21no—
247#126×C37—21no—
248#126×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×C37—21no—
257#125×C37—21no—
258#125×C37—21no—
259#125×C37—21no—
260#125×C37C2311yescharacteristic
261#125×C37C2311yescharacteristic
262#125×C37C2311yescharacteristic
263#124×C37—21no—
264#124×C37—21no—
265#124×C37—21no—
266#124×C37—21no—
267#124×C37—21no—
268#124×C37—21no—
269#124×C37—21no—
270#124×C37—21no—
271#124×C37C2311yescharacteristic
272#123×C37—21no—
273#123×C37—21no—
274#123×C37—21no—
275#123×C37—21no—
276#123×C37—21no—
277#123×C37—21no—
278#123×C37—21no—
279#123×C37—21no—
280#123×C37—21no—
281#123×C37—21no—
282#123×C37—21no—
283#123×C37—21no—
284#123×C37—21no—
285#123×C37—21no—
286#123×C37D411yescharacteristic
287#123×C37D411yescharacteristic
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×C37—21no—
297C22⋊Q8×C37—21no—
298C22⋊Q8×C37—21no—
299C22⋊Q8×C37—21no—
300C22⋊Q8×C37—21no—
301C22⋊Q8×C37—21no—
302C22⋊Q8×C37—21no—
303C22⋊Q8×C37—21no—
304C22⋊Q8×C37—21no—
305C22⋊Q8×C37—21no—
306C22⋊Q8×C37D411yescharacteristic
307C22⋊Q8×C37D411yescharacteristic
308C22⋊Q8×C37C2311yescharacteristic
309C22⋊Q8×C37C2311yescharacteristic
310C22⋊Q8×C37C2311yescharacteristic
311C22⋊Q8×C37C2311yescharacteristic
312C22⋊Q8×C37C2311yescharacteristic
313C22⋊Q8×C37C2311yescharacteristic
314C22⋊Q8×C37C2311yescharacteristic
315C22⋊Q8×C37C2311yescharacteristic
316C22⋊Q8×C37C2311yescharacteristic
317C22⋊Q8×C37C2311yescharacteristic
318C22⋊Q8×C37C2311yescharacteristic
319C22⋊Q8×C37C2311yescharacteristic
320C22⋊Q8×C37C2311yescharacteristic
321C22⋊Q8×C37C2311yescharacteristic
322C22⋊Q8×C37C2311yescharacteristic
323C22⋊Q8×C37C2311yescharacteristic
324C22⋊Q8×C37C2311yescharacteristic
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37—21no—
330#121×C37—21no—
331#121×C37—21no—
332#121×C37D411yescharacteristic
333#121×C37D411yescharacteristic
334#121×C37C2311yescharacteristic
335#121×C37C2311yescharacteristic
336#121×C37C2311yescharacteristic
337#120×C37—21no—
338#120×C37D411yescharacteristic
339#120×C37D411yescharacteristic
340C4×Q8×C37—21no—
341C4×Q8×C37—21no—
342C4×Q8×C37—21no—
343C4×Q8×C37—21no—
344C4×Q8×C37—21no—
345C4×Q8×C37—21no—
346C4×Q8×C37C2311yescharacteristic
347C4×Q8×C37C2311yescharacteristic
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×C37—21no—
363C4×D4×C37—21no—
364C4×D4×C37—21no—
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369C4×D4×C37C2311yescharacteristic
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×C37—21no—
390C2×C4⋊C4×C37—21no—
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×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#106×C37C2311yescharacteristic
413#106×C37C2311yescharacteristic
414#106×C37C2311yescharacteristic
415#106×C37C2311yescharacteristic
416#106×C37C2311yescharacteristic
417#106×C37C2311yescharacteristic
418#106×C37C2311yescharacteristic
419#106×C37C2311yescharacteristic
420#106×C37C2311yescharacteristic
421#106×C37C2311yescharacteristic
422#106×C37C2311yescharacteristic
423#106×C37C2311yescharacteristic
424#106×C37C2311yescharacteristic
425#106×C37C2311yescharacteristic
426C4⋊C8×C37C2311yescharacteristic
427C4⋊C8×C37C2311yescharacteristic
428C4⋊C8×C37C2311yescharacteristic
429C4⋊C8×C37C2311yescharacteristic
430#103×C37C2311yescharacteristic
431#103×C37C2311yescharacteristic
432#103×C37C2311yescharacteristic
433#103×C37C2311yescharacteristic
434#103×C37C2311yescharacteristic
435#103×C37C2311yescharacteristic
436#103×C37C2311yescharacteristic
437#103×C37C2311yescharacteristic
438#103×C37C2311yescharacteristic
439#103×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×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×C37C2×D411yescharacteristic
479#41×C37—41no—
480#41×C37—41no—
481#41×C37—41no—
482#41×C37—41no—
483#41×C37—41no—
484#41×C37—41no—
485C2×Q8×C37—21no—
486C2×Q8×C37—21no—
487C2×Q8×C37—21no—
488C2×Q8×C37—21no—
489C2×Q8×C37—21no—
490C2×Q8×C37—21no—
491C2×Q8×C37—41no—
492C2×Q8×C37—41no—
493C2×Q8×C37—41no—
494C2×Q8×C37—41no—
495C2×Q8×C37—41no—
496C2×Q8×C37—41no—
497C2×Q8×C37C2×D411yescharacteristic
498C2×Q8×C37C2411yescharacteristic
499C2×Q8×C37C2411yescharacteristic
500C2×Q8×C37C2411yescharacteristic
501C2×Q8×C37C2411yescharacteristic
502C2×Q8×C37C2411yescharacteristic
503C2×D4×C37—21no—
504C2×D4×C37—21no—
505C2×D4×C37—21no—
506C2×D4×C37—21no—
507C2×D4×C37—21no—
508C2×D4×C37C2×D411yescharacteristic
509C2×D4×C37C2×D411yescharacteristic
510C2×D4×C37C2×D411yescharacteristic
511C2×D4×C37C2×D411yescharacteristic
512C2×D4×C37C2×D411yescharacteristic
513C2×D4×C37C2×D411yescharacteristic
514C2×D4×C37C2×D411yescharacteristic
515C2×D4×C37C2411yescharacteristic
516C22×C4×C37—21no—
517C22×C4×C37—21no—
518C22×C4×C37—21no—
519C22×C4×C37—21no—
520C22×C4×C37—21no—
521C22×C4×C37—21no—
522C22×C4×C37—21no—
523C22×C4×C37—21no—
524C22×C4×C37—21no—
525C22×C4×C37—21no—
526C22×C4×C37—21no—
527C22×C4×C37—21no—
528C22×C4×C37—21no—
529C22×C4×C37—41no—
530C22×C4×C37—41no—
531C22×C4×C37C2×D411yescharacteristic
532C22×C4×C37C2×D411yescharacteristic
533C22×C4×C37C2×D411yescharacteristic
534C22×C4×C37C2411yescharacteristic
535C22×C4×C37C2411yescharacteristic
536C22×C4×C37C2411yescharacteristic
537C22×C4×C37C2411yescharacteristic
538C22×C4×C37C2411yescharacteristic
539Q16×C37—41no—
540Q16×C37—41no—
541Q16×C37—41no—
542Q16×C37—41no—
543Q16×C37—41no—
544Q16×C37—41no—
545SD16×C37—41no—
546SD16×C37—41no—
547M16×C37—41no—
548M16×C37—41no—
549M16×C37—41no—
550M16×C37—41no—
551M16×C37—41no—
552M16×C37—41no—
553C2×C8×C37—41no—
554C2×C8×C37—41no—
555C2×C8×C37C2411yescharacteristic
556C2×C8×C37C2411yescharacteristic
557C2×C8×C37C2411yescharacteristic
558C2×C8×C37C2411yescharacteristic
559C2×C8×C37C2411yescharacteristic
560C2×C8×C37C2411yescharacteristic
561C2×C8×C37C2411yescharacteristic
562C2×C8×C37C2411yescharacteristic
563C4⋊C4×C37—21no—
564C4⋊C4×C37—21no—
565C4⋊C4×C37—21no—
566C4⋊C4×C37—21no—
567C4⋊C4×C37—21no—
568C4⋊C4×C37—21no—
569C4⋊C4×C37—21no—
570C4⋊C4×C37—21no—
571C4⋊C4×C37—21no—
572C4⋊C4×C37—21no—
573C4⋊C4×C37—21no—
574C4⋊C4×C37—21no—
575C4⋊C4×C37—21no—
576C4⋊C4×C37—21no—
577C4⋊C4×C37—21no—
578C4⋊C4×C37—21no—
579C4⋊C4×C37—21no—
580C4⋊C4×C37—21no—
581C4⋊C4×C37—21no—
582C4⋊C4×C37—21no—
583C4⋊C4×C37—21no—
584C4⋊C4×C37—21no—
585C4⋊C4×C37—21no—
586C4⋊C4×C37—21no—
587C4⋊C4×C37—21no—
588C4⋊C4×C37—21no—
589C4⋊C4×C37—21no—
590C4⋊C4×C37—21no—
591C4⋊C4×C37—21no—
592C4⋊C4×C37—21no—
593C4⋊C4×C37—21no—
594C4⋊C4×C37—21no—
595C4⋊C4×C37—21no—
596C4⋊C4×C37—21no—
597C4⋊C4×C37—21no—
598C4⋊C4×C37—21no—
599C4⋊C4×C37—21no—
600C4⋊C4×C37—21no—
601C4⋊C4×C37—21no—
602C4⋊C4×C37—21no—
603C4⋊C4×C37—21no—
604C4⋊C4×C37—21no—
605C4⋊C4×C37C2×D411yescharacteristic
606C4⋊C4×C37C2×D411yescharacteristic
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×C37C2×D411yescharacteristic
653C22⋊C4×C37C2×D411yescharacteristic
654C22⋊C4×C37C2×D411yescharacteristic
655C22⋊C4×C37C2×D411yescharacteristic
656C22⋊C4×C37C2×D411yescharacteristic
657C22⋊C4×C37C2×D411yescharacteristic
658C22⋊C4×C37C2×D411yescharacteristic
659C22⋊C4×C37C2×D411yescharacteristic
660C22⋊C4×C37C2×D411yescharacteristic
661C22⋊C4×C37C2×D411yescharacteristic
662C42×C37—21no—
663C42×C37—21no—
664C42×C37—21no—
665C42×C37—21no—
666C42×C37—21no—
667C42×C37—21no—
668C42×C37—21no—
669C42×C37—21no—
670C42×C37—21no—
671C42×C37—21no—
672C42×C37—21no—
673C42×C37—21no—
674C42×C37—21no—
675C42×C37—21no—
676C42×C37—21no—
677C42×C37C2411yescharacteristic
678C42×C37C2411yescharacteristic
679C23×C37—21no—
680C23×C37—41no—
681C23×C37—41no—
682C23×C37—41no—
683C23×C37C22×D411yescharacteristic
684C23×C37C22×D411yescharacteristic
685C23×C37C22×D411yescharacteristic
686C23×C37C22×D411yescharacteristic
687C23×C37C22×D411yescharacteristic
688Q8×C37—21no—
689Q8×C37—21no—
690Q8×C37—21no—
691Q8×C37—21no—
692Q8×C37—21no—
693Q8×C37—21no—
694Q8×C37—21no—
695Q8×C37—21no—
696Q8×C37—21no—
697Q8×C37—21no—
698Q8×C37—41no—
699Q8×C37—42no—
700Q8×C37—81no—
701Q8×C37—81no—
702Q8×C37—81no—
703Q8×C37—81no—
704Q8×C37—81no—
705D4×C37—21no—
706D4×C37—21no—
707D4×C37—41no—
708D4×C37—41no—
709D4×C37—41no—
710D4×C37—41no—
711D4×C37—41no—
712D4×C37—41no—
713D4×C37—41no—
714D4×C37—42no—
715D4×C37—81no—
716D4×C37—81no—
717D4×C37—81no—
718D4×C37—81no—
719C2×C4×C37—21no—
720C2×C4×C37—21no—
721C2×C4×C37—21no—
722C2×C4×C37—21no—
723C2×C4×C37—21no—
724C2×C4×C37—21no—
725C2×C4×C37—21no—
726C2×C4×C37—21no—
727C2×C4×C37—21no—
728C2×C4×C37—21no—
729C2×C4×C37—21no—
730C2×C4×C37—21no—
731C2×C4×C37—21no—
732C2×C4×C37—21no—
733C2×C4×C37—21no—
734C2×C4×C37—21no—
735C2×C4×C37—21no—
736C2×C4×C37—21no—
737C2×C4×C37—21no—
738C2×C4×C37—21no—
739C2×C4×C37—21no—
740C2×C4×C37—21no—
741C2×C4×C37—21no—
742C2×C4×C37—21no—
743C2×C4×C37—21no—
744C2×C4×C37—41no—
745C2×C4×C37—41no—
746C2×C4×C37—41no—
747C2×C4×C37—42no—
748C2×C4×C37—42no—
749C2×C4×C37—81no—
750C2×C4×C37—81no—
751C2×C4×C37—81no—
752C2×C4×C37—81no—
753C2×C4×C37—81no—
754C2×C4×C37—81no—
755C2×C4×C37—81no—
756C2×C4×C37—81no—
757C2×C4×C37—81no—
758C2×C4×C37—81no—
759C2×C4×C37—81no—
760C2×C4×C37C22×D411yescharacteristic
761C2×C4×C37C22×D411yescharacteristic
762C2×C4×C37C22×D411yescharacteristic
763C2×C4×C37C22×D411yescharacteristic
764C2×C4×C37C22×D411yescharacteristic
765C2×C4×C37C22×D411yescharacteristic
766C2×C4×C37C22×D411yescharacteristic
767C2×C4×C37C22×D411yescharacteristic
768C2×C4×C37C22×D411yescharacteristic
769C2×C4×C37C2511yescharacteristic
770C8×C37—21no—
771C8×C37—21no—
772C8×C37—21no—
773C8×C37—21no—
774C8×C37—21no—
775C8×C37—21no—
776C8×C37—21no—
777C8×C37—21no—
778#61781C3711yesmaximal, characteristic, direct product factor, Sylow
779C22×C37—21no—
780C22×C37—21no—
781C22×C37—21no—
782C22×C37—21no—
783C22×C37—21no—
784C22×C37—21no—
785C22×C37—21no—
786C22×C37—21no—
787C22×C37—21no—
788C22×C37—21no—
789C22×C37—21no—
790C22×C37—21no—
791C22×C37—21no—
792C22×C37—21no—
793C22×C37—21no—
794C22×C37—41no—
795C22×C37—41no—
796C22×C37—41no—
797C22×C37—82no—
798C22×C37C23×D411yescharacteristic
799C4×C37—21no—
800C4×C37—21no—
801C4×C37—21no—
802C4×C37—21no—
803C4×C37—21no—
804C4×C37—21no—
805C4×C37—21no—
806C4×C37—21no—
807C4×C37—21no—
808C4×C37—41no—
809C4×C37—41no—
810C4×C37—41no—
811C4×C37—41no—
812C4×C37—41no—
813C4×C37—41no—
814C4×C37—41no—
815C4×C37—41no—
816C4×C37—41no—
817C4×C37—41no—
818C4×C37—41no—
819C4×C37—41no—
820C4×C37—41no—
821C4×C37—41no—
822C4×C37—41no—
823C4×C37#58511yescharacteristic
824C4×C37#58511yescharacteristic
825#3541C2×C3711yescharacteristic
826#3495C2×C3711yescharacteristic, complemented
827#3356C2×C3711yescharacteristic, complemented
828#3356C2×C3711yescharacteristic, complemented
829#3352C2×C3711yescharacteristic, complemented
830#3351C2×C3711yescharacteristic, complemented
831#3350C2×C3711yescharacteristic, complemented
832#3349C2×C3711yescharacteristic, complemented
833#3344C2×C3711yescharacteristic, complemented
834#3344C2×C3711yescharacteristic, complemented
835#3331C2×C3711yescharacteristic, complemented
836#3328C2×C3711yescharacteristic, complemented
837#3327C2×C3711yescharacteristic, complemented
838#3327C2×C3711yescharacteristic, complemented
839#3316C2×C3711yescharacteristic, complemented
840#3315C2×C3711yescharacteristic, complemented
841#3313C2×C3711yescharacteristic, complemented
842#3312C2×C3711yescharacteristic, complemented
843#3244C2×C3711yescharacteristic, complemented
844#3242C2×C3711yescharacteristic, complemented
845#3202C2×C3711yescharacteristic, complemented
846#3201C2×C3711yescharacteristic, complemented
847#3196C2×C3711yescharacteristic, complemented
848#3195C2×C3711yescharacteristic, complemented
849#3127C2×C3711yescharacteristic, complemented
850#3121C2×C3711yescharacteristic, complemented
851#3099C2×C3711yescharacteristic, complemented
852#3097C2×C3711yescharacteristic, complemented
853#3095C2×C3711yescharacteristic, complemented
854#3093C2×C3711yescharacteristic, complemented
855#2978C2×C3711yescharacteristic, complemented
856C2×C37—41no—
857C2×C37—41no—
858C2×C37—41no—
859C2×C37—41no—
860C2×C37—41no—
861C2×C37—81no—
862C2×C37#348511yescharacteristic
863C2×C37#358611yescharacteristic
864C2×C37#358611yescharacteristic
865#563—21no—
866#562—21no—
867#556C22×C3711yescharacteristic
868#556C22×C3711yescharacteristic
869#556C22×C3711yescharacteristic
870#554—21no—
871#554C22×C3711yescharacteristic
872#554C22×C3711yescharacteristic
873#554C22×C3711yescharacteristic
874#553—21no—
875#553C22×C3711yescharacteristic
876#552—21no—
877#552—21no—
878#552C22×C3711yescharacteristic
879#552C22×C3711yescharacteristic
880#552C22×C3711yescharacteristic
881#552C22×C3711yescharacteristic
882#552C22×C3711yescharacteristic
883#551—21no—
884#551—21no—
885D4×Q8C22×C3711yescharacteristic
886#548C22×C3711yescharacteristic
887#548C22×C3711yescharacteristic
888#547C22×C3711yescharacteristic
889#544C22×C3711yescharacteristic
890#542—21no—
891#542—21no—
892#542C22×C3711yescharacteristic
893#541—21no—
894#541C22×C3711yescharacteristic
895#539—21no—
896#538—21no—
897#538—21no—
898#537C22×C3711yescharacteristic
899#536C22×C3711yescharacteristic
900#536C22×C3711yescharacteristic
901#533—21no—
902#529—21no—
903#525C22×C3711yescharacteristic
904#525C22×C3711yescharacteristic
905C2×C22⋊Q8C22×C3711yescharacteristic
906C2×C22⋊Q8C22×C3711yescharacteristic
907#520C22×C3711yescharacteristic
908#519C22×C3711yescharacteristic
909C2×#117C22×C3711yescharacteristic
910#501C22×C3711yescharacteristic, complemented
911#501C22×C3711yescharacteristic, complemented
912#499C22×C3711yescharacteristic, complemented
913#498C22×C3711yescharacteristic, complemented
914#491C22×C3711yescharacteristic, complemented
915#489C22×C3711yescharacteristic, complemented
916#488C22×C3711yescharacteristic, complemented
917#487C22×C3711yescharacteristic, complemented
918#485C22×C3711yescharacteristic
919#485C22×C3711yescharacteristic
920#485C22×C3711yescharacteristic
921#485C22×C3711yescharacteristic
922#485C22×C3711yescharacteristic
923#485C22×C3711yescharacteristic
924#485C22×C3711yescharacteristic
925#485C22×C3711yescharacteristic
926#485C22×C3711yescharacteristic
927#485C22×C3711yescharacteristic
928#485C22×C3711yescharacteristic, complemented
929#485C22×C3711yescharacteristic, complemented
930#485C22×C3711yescharacteristic, complemented
931#485C22×C3711yescharacteristic, complemented
932#485C22×C3711yescharacteristic, complemented
933#484C22×C3711yescharacteristic
934#484C22×C3711yescharacteristic
935#484C22×C3711yescharacteristic
936#484C22×C3711yescharacteristic, complemented
937#484C22×C3711yescharacteristic, complemented
938#483C22×C3711yescharacteristic
939#483C22×C3711yescharacteristic
940#483C22×C3711yescharacteristic
941#483C22×C3711yescharacteristic
942#483C22×C3711yescharacteristic
943#483C22×C3711yescharacteristic
944#483C22×C3711yescharacteristic, complemented
945#483C22×C3711yescharacteristic, complemented
946#483C22×C3711yescharacteristic, complemented
947#482C22×C3711yescharacteristic
948#482C22×C3711yescharacteristic
949#482C22×C3711yescharacteristic
950#482C22×C3711yescharacteristic
951#482C22×C3711yescharacteristic, complemented
952#481C22×C3711yescharacteristic
953#481C22×C3711yescharacteristic, complemented
954#479C22×C3711yescharacteristic, complemented
955#479C22×C3711yescharacteristic, complemented
956#479C22×C3711yescharacteristic, complemented
957#479C22×C3711yescharacteristic, complemented
958#479C22×C3711yescharacteristic, complemented
959#478C22×C3711yescharacteristic, complemented
960#477C22×C3711yescharacteristic, complemented
961#477C22×C3711yescharacteristic, complemented
962#476C22×C3711yescharacteristic, complemented
963#475C22×C3711yescharacteristic, complemented
964#475C22×C3711yescharacteristic, complemented
965#475C22×C3711yescharacteristic, complemented
966#470C22×C3711yescharacteristic
967#470C22×C3711yescharacteristic
968#470C22×C3711yescharacteristic
969#470C22×C3711yescharacteristic
970#470C22×C3711yescharacteristic
971#470C22×C3711yescharacteristic
972#470C22×C3711yescharacteristic, complemented
973#470C22×C3711yescharacteristic, complemented
974#470C22×C3711yescharacteristic, complemented
975#468C22×C3711yescharacteristic
976#468C22×C3711yescharacteristic
977#468C22×C3711yescharacteristic, complemented
978#467C22×C3711yescharacteristic, complemented
979#467C22×C3711yescharacteristic, complemented
980#467C22×C3711yescharacteristic, complemented
981#465C22×C3711yescharacteristic, complemented
982#464C22×C3711yescharacteristic, complemented
983#464C22×C3711yescharacteristic, complemented
984#462C22×C3711yescharacteristic, complemented
985#462C22×C3711yescharacteristic, complemented
986#452C22×C3711yescharacteristic
987#452C22×C3711yescharacteristic
988#452C22×C3711yescharacteristic, complemented
989#452C22×C3711yescharacteristic, complemented
990#451C22×C3711yescharacteristic
991#451C22×C3711yescharacteristic
992#451C22×C3711yescharacteristic
993#451C22×C3711yescharacteristic
994#451C22×C3711yescharacteristic
995#451C22×C3711yescharacteristic, complemented
996#451C22×C3711yescharacteristic, complemented
997#448C22×C3711yescharacteristic
998#441C22×C3711yescharacteristic, complemented
999#441C22×C3711yescharacteristic, complemented
1000#441C22×C3711yescharacteristic, complemented
1001#440C22×C3711yescharacteristic, complemented
1002C4×Q16C22×C3711yescharacteristic, complemented
1003C4×Q16C22×C3711yescharacteristic, complemented
1004C4×Q16C22×C3711yescharacteristic, complemented
1005C4×SD16C22×C3711yescharacteristic, complemented
1006#436C22×C3711yescharacteristic
1007#436C22×C3711yescharacteristic
1008#436C22×C3711yescharacteristic
1009#436C22×C3711yescharacteristic
1010#435C22×C3711yescharacteristic
1011#435C22×C3711yescharacteristic
1012#435C22×C3711yescharacteristic
1013#435C22×C3711yescharacteristic
1014#433C22×C3711yescharacteristic
1015#433C22×C3711yescharacteristic
1016#428C22×C3711yescharacteristic
1017#428C22×C3711yescharacteristic
1018#428C22×C3711yescharacteristic
1019#428C22×C3711yescharacteristic
1020#428C22×C3711yescharacteristic, complemented
1021#428C22×C3711yescharacteristic, complemented
1022#427C22×C3711yescharacteristic, complemented
1023C2×#106C22×C3711yescharacteristic, complemented
1024#419C22×C3711yescharacteristic
1025#419C22×C3711yescharacteristic
1026#419C22×C3711yescharacteristic, complemented
1027#417C22×C3711yescharacteristic
1028#417C22×C3711yescharacteristic
1029#417C22×C3711yescharacteristic, complemented
1030#416C22×C3711yescharacteristic, complemented
1031C2×#103C22×C3711yescharacteristic, complemented
1032#408C22×C3711yescharacteristic
1033#408C22×C3711yescharacteristic
1034#407C22×C3711yescharacteristic
1035#407C22×C3711yescharacteristic
1036C37#6178111yescharacteristic, direct product factor, Sylow
1037C2×#41C23×C3711yescharacteristic
1038C2×#41C23×C3711yescharacteristic
1039C2×#41C23×C3711yescharacteristic
1040C22×Q8C23×C3711yescharacteristic
1041C22×Q8C23×C3711yescharacteristic
1042C22×Q8C23×C3711yescharacteristic
1043C23×C4C23×C3711yescharacteristic
1044C2×Q16C23×C3711yescharacteristic
1045C2×Q16C23×C3711yescharacteristic
1046C2×Q16C23×C3711yescharacteristic
1047C2×Q16C23×C3711yescharacteristic
1048C2×Q16C23×C3711yescharacteristic
1049C2×Q16C23×C3711yescharacteristic
1050C2×SD16C23×C3711yescharacteristic
1051C2×SD16C23×C3711yescharacteristic
1052C2×M16C23×C3711yescharacteristic
1053C2×M16C23×C3711yescharacteristic
1054C2×M16C23×C3711yescharacteristic
1055C2×M16C23×C3711yescharacteristic
1056C2×M16C23×C3711yescharacteristic
1057C2×M16C23×C3711yescharacteristic
1058C22×C8C23×C3711yescharacteristic
1059C22×C8C23×C3711yescharacteristic
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—21no—
1064C4⋊Q8C23×C3711yescharacteristic
1065C4⋊Q8C23×C3711yescharacteristic
1066C4⋊Q8C23×C3711yescharacteristic
1067C4⋊Q8C23×C3711yescharacteristic
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125C23×C3711yescharacteristic
1095#125C23×C3711yescharacteristic
1096#125C23×C3711yescharacteristic
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124C23×C3711yescharacteristic
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123D4×C3711yescharacteristic
1121#123D4×C3711yescharacteristic
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8D4×C3711yescharacteristic
1141C22⋊Q8D4×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
1150C22⋊Q8C23×C3711yescharacteristic
1151C22⋊Q8C23×C3711yescharacteristic
1152C22⋊Q8C23×C3711yescharacteristic
1153C22⋊Q8C23×C3711yescharacteristic
1154C22⋊Q8C23×C3711yescharacteristic
1155C22⋊Q8C23×C3711yescharacteristic
1156C22⋊Q8C23×C3711yescharacteristic
1157C22⋊Q8C23×C3711yescharacteristic
1158C22⋊Q8C23×C3711yescharacteristic
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121D4×C3711yescharacteristic
1167#121D4×C3711yescharacteristic
1168#121C23×C3711yescharacteristic
1169#121C23×C3711yescharacteristic
1170#121C23×C3711yescharacteristic
1171#120—21no—
1172#120D4×C3711yescharacteristic
1173#120D4×C3711yescharacteristic
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—21no—
1179C4×Q8—21no—
1180C4×Q8C23×C3711yescharacteristic
1181C4×Q8C23×C3711yescharacteristic
1182C4×Q8C23×C3711yescharacteristic
1183C4×Q8C23×C3711yescharacteristic
1184C4×Q8C23×C3711yescharacteristic
1185C4×Q8C23×C3711yescharacteristic
1186C4×Q8C23×C3711yescharacteristic
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4C23×C3711yescharacteristic
1200C4×D4C23×C3711yescharacteristic
1201C4×D4C23×C3711yescharacteristic
1202C4×D4C23×C3711yescharacteristic
1203C4×D4C23×C3711yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117C23×C3711yescharacteristic
1214#117C23×C3711yescharacteristic
1215#117C23×C3711yescharacteristic
1216#117C23×C3711yescharacteristic
1217#117C23×C3711yescharacteristic
1218#117C23×C3711yescharacteristic
1219#117C23×C3711yescharacteristic
1220#117C23×C3711yescharacteristic
1221#117C23×C3711yescharacteristic
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4C23×C3711yescharacteristic
1226C2×C4⋊C4C23×C3711yescharacteristic
1227C2×C4⋊C4C23×C3711yescharacteristic
1228C2×C4⋊C4C23×C3711yescharacteristic
1229C2×C4⋊C4C23×C3711yescharacteristic
1230C2×C4⋊C4C23×C3711yescharacteristic
1231C2×C4⋊C4C23×C3711yescharacteristic
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—21no—
1235C2×C42—21no—
1236#107C23×C3711yescharacteristic
1237#107C23×C3711yescharacteristic
1238#107C23×C3711yescharacteristic
1239#107C23×C3711yescharacteristic
1240#107C23×C3711yescharacteristic
1241#107C23×C3711yescharacteristic
1242#107C23×C3711yescharacteristic
1243#107C23×C3711yescharacteristic
1244#107C23×C3711yescharacteristic
1245#107C23×C3711yescharacteristic
1246#106C23×C3711yescharacteristic
1247#106C23×C3711yescharacteristic
1248#106C23×C3711yescharacteristic
1249#106C23×C3711yescharacteristic
1250#106C23×C3711yescharacteristic
1251#106C23×C3711yescharacteristic
1252#106C23×C3711yescharacteristic
1253#106C23×C3711yescharacteristic
1254#106C23×C3711yescharacteristic
1255#106C23×C3711yescharacteristic
1256#106C23×C3711yescharacteristic
1257#106C23×C3711yescharacteristic
1258#106C23×C3711yescharacteristic
1259#106C23×C3711yescharacteristic
1260C4⋊C8C23×C3711yescharacteristic
1261C4⋊C8C23×C3711yescharacteristic
1262C4⋊C8C23×C3711yescharacteristic
1263C4⋊C8C23×C3711yescharacteristic
1264#103C23×C3711yescharacteristic
1265#103C23×C3711yescharacteristic
1266#103C23×C3711yescharacteristic
1267#103C23×C3711yescharacteristic
1268#103C23×C3711yescharacteristic
1269#103C23×C3711yescharacteristic
1270#103C23×C3711yescharacteristic
1271#103C23×C3711yescharacteristic
1272#103C23×C3711yescharacteristic
1273#103C23×C3711yescharacteristic
1274#103C23×C3711yescharacteristic
1275#103C23×C3711yescharacteristic
1276#103C23×C3711yescharacteristic
1277#103C23×C3711yescharacteristic
1278#103C23×C3711yescharacteristic
1279#103C23×C3711yescharacteristic
1280#103C23×C3711yescharacteristic
1281#103C23×C3711yescharacteristic
1282#103C23×C3711yescharacteristic
1283#103C23×C3711yescharacteristic
1284#103C23×C3711yescharacteristic
1285#103C23×C3711yescharacteristic
1286#103C23×C3711yescharacteristic
1287#103C23×C3711yescharacteristic
1288#103C23×C3711yescharacteristic
1289#103C23×C3711yescharacteristic
1290#102C23×C3711yescharacteristic
1291#102C23×C3711yescharacteristic
1292#102C23×C3711yescharacteristic
1293#102C23×C3711yescharacteristic
1294#102C23×C3711yescharacteristic
1295#102C23×C3711yescharacteristic
1296C22⋊C8C23×C3711yescharacteristic
1297C22⋊C8C23×C3711yescharacteristic
1298C22⋊C8C23×C3711yescharacteristic
1299C22⋊C8C23×C3711yescharacteristic
1300C22⋊C8C23×C3711yescharacteristic
1301C22⋊C8C23×C3711yescharacteristic
1302C22⋊C8C23×C3711yescharacteristic
1303C22⋊C8C23×C3711yescharacteristic
1304C22⋊C8C23×C3711yescharacteristic
1305C22⋊C8C23×C3711yescharacteristic
1306C22⋊C8C23×C3711yescharacteristic
1307C22⋊C8C23×C3711yescharacteristic
1308#97C23×C3711yescharacteristic
1309#97C23×C3711yescharacteristic
1310C4×C8C23×C3711yescharacteristic
1311C4×C8C23×C3711yescharacteristic
1312C24C2×D4×C3711yescharacteristic
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318#41—41no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—21no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×Q8—41no—
1330C2×Q8—41no—
1331C2×Q8C2×D4×C3711yescharacteristic
1332C2×Q8C24×C3711yescharacteristic
1333C2×Q8C24×C3711yescharacteristic
1334C2×Q8C24×C3711yescharacteristic
1335C2×Q8C24×C3711yescharacteristic
1336C2×Q8C24×C3711yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4C2×D4×C3711yescharacteristic
1343C2×D4C2×D4×C3711yescharacteristic
1344C2×D4C2×D4×C3711yescharacteristic
1345C2×D4C2×D4×C3711yescharacteristic
1346C2×D4C2×D4×C3711yescharacteristic
1347C2×D4C2×D4×C3711yescharacteristic
1348C2×D4C2×D4×C3711yescharacteristic
1349C2×D4C24×C3711yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4C2×D4×C3711yescharacteristic
1366C22×C4C2×D4×C3711yescharacteristic
1367C22×C4C2×D4×C3711yescharacteristic
1368C22×C4C24×C3711yescharacteristic
1369C22×C4C24×C3711yescharacteristic
1370C22×C4C24×C3711yescharacteristic
1371C22×C4C24×C3711yescharacteristic
1372C22×C4C24×C3711yescharacteristic
1373Q16—41no—
1374Q16—41no—
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—41no—
1379SD16—41no—
1380SD16—41no—
1381M16—41no—
1382M16—41no—
1383M16—41no—
1384M16—41no—
1385M16—41no—
1386M16—41no—
1387C2×C8—41no—
1388C2×C8—41no—
1389C2×C8C24×C3711yescharacteristic
1390C2×C8C24×C3711yescharacteristic
1391C2×C8C24×C3711yescharacteristic
1392C2×C8C24×C3711yescharacteristic
1393C2×C8C24×C3711yescharacteristic
1394C2×C8C24×C3711yescharacteristic
1395C2×C8C24×C3711yescharacteristic
1396C2×C8C24×C3711yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4C2×D4×C3711yescharacteristic
1440C4⋊C4C2×D4×C3711yescharacteristic
1441C4⋊C4C2×D4×C3711yescharacteristic
1442C4⋊C4C2×D4×C3711yescharacteristic
1443C4⋊C4C2×D4×C3711yescharacteristic
1444C4⋊C4C2×D4×C3711yescharacteristic
1445C4⋊C4C24×C3711yescharacteristic
1446C4⋊C4C24×C3711yescharacteristic
1447C4⋊C4C24×C3711yescharacteristic
1448C4⋊C4C24×C3711yescharacteristic
1449C4⋊C4C24×C3711yescharacteristic
1450C4⋊C4C24×C3711yescharacteristic
1451C4⋊C4C24×C3711yescharacteristic
1452C4⋊C4C24×C3711yescharacteristic
1453C4⋊C4C24×C3711yescharacteristic
1454C4⋊C4C24×C3711yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4C2×D4×C3711yescharacteristic
1487C22⋊C4C2×D4×C3711yescharacteristic
1488C22⋊C4C2×D4×C3711yescharacteristic
1489C22⋊C4C2×D4×C3711yescharacteristic
1490C22⋊C4C2×D4×C3711yescharacteristic
1491C22⋊C4C2×D4×C3711yescharacteristic
1492C22⋊C4C2×D4×C3711yescharacteristic
1493C22⋊C4C2×D4×C3711yescharacteristic
1494C22⋊C4C2×D4×C3711yescharacteristic
1495C22⋊C4C2×D4×C3711yescharacteristic
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42C24×C3711yescharacteristic
1512C42C24×C3711yescharacteristic
1513C23—21no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23C22×D4×C3711yescharacteristic
1518C23C22×D4×C3711yescharacteristic
1519C23C22×D4×C3711yescharacteristic
1520C23C22×D4×C3711yescharacteristic
1521C23C22×D4×C3711yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—41no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4C22×D4×C3711yescharacteristic
1595C2×C4C22×D4×C3711yescharacteristic
1596C2×C4C22×D4×C3711yescharacteristic
1597C2×C4C22×D4×C3711yescharacteristic
1598C2×C4C22×D4×C3711yescharacteristic
1599C2×C4C22×D4×C3711yescharacteristic
1600C2×C4C22×D4×C3711yescharacteristic
1601C2×C4C22×D4×C3711yescharacteristic
1602C2×C4C22×D4×C3711yescharacteristic
1603C2×C4C25×C3711yescharacteristic
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C8—21no—
1611C8—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—82no—
1631C22C23×D4×C3711yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4C37×#58511yescharacteristic
1657C4C37×#58511yescharacteristic
1658C2—41no—
1659C2—41no—
1660C2—41no—
1661C2—41no—
1662C2—41no—
1663C2—81no—
1664C2C37×#348511yescharacteristic
1665C2C37×#358611yescharacteristic
1666C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
prime radicalC37×#3541C2
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×#3356C2semidirect
4. C37×#3356C2semidirect
5. C37×#3352C2semidirect
6. C37×#3351C2semidirect
7. C37×#3350C2semidirect
8. C37×#3349C2semidirect
9. C37×#3344C2semidirect
10. C37×#3344C2semidirect
11. C37×#3331C2semidirect
12. C37×#3328C2semidirect
13. C37×#3327C2semidirect
14. C37×#3327C2semidirect
15. C37×#3316C2semidirect
16. C37×#3315C2semidirect
17. C37×#3313C2semidirect
18. C37×#3312C2semidirect
19. C37×#3244C2semidirect
20. C37×#3242C2semidirect
21. C37×#3202C2semidirect
22. C37×#3201C2semidirect
23. C37×#3196C2semidirect
24. C37×#3195C2semidirect
25. C37×#3127C2semidirect
26. C37×#3121C2semidirect
27. C37×#3099C2semidirect
28. C37×#3097C2semidirect
29. C37×#3095C2semidirect
30. C37×#3093C2semidirect
31. C37×#2978C2semidirect
77. C37×#501C22semidirect
78. C37×#501C22semidirect
79. C37×#499C22semidirect
80. C37×#498C22semidirect
81. C37×#491C22semidirect
82. C37×#489C22semidirect
83. C37×#488C22semidirect
84. C37×#487C22semidirect
95. C37×#485C22semidirect
96. C37×#485C22semidirect
97. C37×#485C22semidirect
98. C37×#485C22semidirect
99. C37×#485C22semidirect
103. C37×#484C22semidirect
104. C37×#484C22semidirect
111. C37×#483C22semidirect
112. C37×#483C22semidirect
113. C37×#483C22semidirect
118. C37×#482C22semidirect
120. C37×#481C22semidirect
121. C37×#479C22semidirect
122. C37×#479C22semidirect
123. C37×#479C22semidirect
124. C37×#479C22semidirect
125. C37×#479C22semidirect
126. C37×#478C22semidirect
127. C37×#477C22semidirect
128. C37×#477C22semidirect
129. C37×#476C22semidirect
130. C37×#475C22semidirect
131. C37×#475C22semidirect
132. C37×#475C22semidirect
139. C37×#470C22semidirect
140. C37×#470C22semidirect
141. C37×#470C22semidirect
144. C37×#468C22semidirect
145. C37×#467C22semidirect
146. C37×#467C22semidirect
147. C37×#467C22semidirect
148. C37×#465C22semidirect
149. C37×#464C22semidirect
150. C37×#464C22semidirect
151. C37×#462C22semidirect
152. C37×#462C22semidirect
155. C37×#452C22semidirect
156. C37×#452C22semidirect
162. C37×#451C22semidirect
163. C37×#451C22semidirect
165. C37×#441C22semidirect
166. C37×#441C22semidirect
167. C37×#441C22semidirect
168. C37×#440C22semidirect
169. C4×Q16×C37C22semidirect
170. C4×Q16×C37C22semidirect
171. C4×Q16×C37C22semidirect
172. C4×SD16×C37C22semidirect
187. C37×#428C22semidirect
188. C37×#428C22semidirect
189. C37×#427C22semidirect
190. C2×#106×C37C22semidirect
193. C37×#419C22semidirect
196. C37×#417C22semidirect
197. C37×#416C22semidirect
198. C2×#103×C37C22semidirect
778. #61781C37direct (N × H)
826. #3495C2×C37semidirect
827. #3356C2×C37semidirect
828. #3356C2×C37semidirect
829. #3352C2×C37semidirect
830. #3351C2×C37semidirect
831. #3350C2×C37semidirect
832. #3349C2×C37semidirect
833. #3344C2×C37semidirect
834. #3344C2×C37semidirect
835. #3331C2×C37semidirect
836. #3328C2×C37semidirect
837. #3327C2×C37semidirect
838. #3327C2×C37semidirect
839. #3316C2×C37semidirect
840. #3315C2×C37semidirect
841. #3313C2×C37semidirect
842. #3312C2×C37semidirect
843. #3244C2×C37semidirect
844. #3242C2×C37semidirect
845. #3202C2×C37semidirect
846. #3201C2×C37semidirect
847. #3196C2×C37semidirect
848. #3195C2×C37semidirect
849. #3127C2×C37semidirect
850. #3121C2×C37semidirect
851. #3099C2×C37semidirect
852. #3097C2×C37semidirect
853. #3095C2×C37semidirect
854. #3093C2×C37semidirect
855. #2978C2×C37semidirect
910. #501C22×C37semidirect
911. #501C22×C37semidirect
912. #499C22×C37semidirect
913. #498C22×C37semidirect
914. #491C22×C37semidirect
915. #489C22×C37semidirect
916. #488C22×C37semidirect
917. #487C22×C37semidirect
928. #485C22×C37semidirect
929. #485C22×C37semidirect
930. #485C22×C37semidirect
931. #485C22×C37semidirect
932. #485C22×C37semidirect
936. #484C22×C37semidirect
937. #484C22×C37semidirect
944. #483C22×C37semidirect
945. #483C22×C37semidirect
946. #483C22×C37semidirect
951. #482C22×C37semidirect
953. #481C22×C37semidirect
954. #479C22×C37semidirect
955. #479C22×C37semidirect
956. #479C22×C37semidirect
957. #479C22×C37semidirect
958. #479C22×C37semidirect
959. #478C22×C37semidirect
960. #477C22×C37semidirect
961. #477C22×C37semidirect
962. #476C22×C37semidirect
963. #475C22×C37semidirect
964. #475C22×C37semidirect
965. #475C22×C37semidirect
972. #470C22×C37semidirect
973. #470C22×C37semidirect
974. #470C22×C37semidirect
977. #468C22×C37semidirect
978. #467C22×C37semidirect
979. #467C22×C37semidirect
980. #467C22×C37semidirect
981. #465C22×C37semidirect
982. #464C22×C37semidirect
983. #464C22×C37semidirect
984. #462C22×C37semidirect
985. #462C22×C37semidirect
988. #452C22×C37semidirect
989. #452C22×C37semidirect
995. #451C22×C37semidirect
996. #451C22×C37semidirect
998. #441C22×C37semidirect
999. #441C22×C37semidirect
1000. #441C22×C37semidirect
1001. #440C22×C37semidirect
1002. C4×Q16C22×C37semidirect
1003. C4×Q16C22×C37semidirect
1004. C4×Q16C22×C37semidirect
1005. C4×SD16C22×C37semidirect
1020. #428C22×C37semidirect
1021. #428C22×C37semidirect
1022. #427C22×C37semidirect
1023. C2×#106C22×C37semidirect
1026. #419C22×C37semidirect
1029. #417C22×C37semidirect
1030. #416C22×C37semidirect
1031. C2×#103C22×C37semidirect
1036. C37#61781direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35412
C37×#34952
C37×#33562
C37×#33522
C37×#33512
C37×#33502
C37×#33492
C37×#33442
C37×#33312
C37×#33282
C37×#33272
C37×#33162
C37×#33152
C37×#33132
C37×#33122
C37×#32442
C37×#32422
C37×#32022
C37×#32012
C37×#31962
C37×#31952
C37×#31272
C37×#31212
C37×#30992
C37×#30972
C37×#30952
C37×#30932
C37×#29782
#6178137