Finite Group Databasebeta

← C37×#62228 #22683481

Subgroups — C37×#62228 #22683481

Order 9472.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3544C211yesmaximal, characteristic, complemented
2C37×#3521C211yesmaximal, characteristic, complemented
3C37×#3389C211yesmaximal, characteristic, complemented
4C37×#3385C211yesmaximal, characteristic, complemented
5C37×#3376C211yesmaximal, characteristic, complemented
6C37×#3369C211yesmaximal, characteristic, complemented
7C37×#3353C211yesmaximal, characteristic, complemented
8C37×#3351C211yesmaximal, characteristic, complemented
9C37×#3349C211yesmaximal, characteristic, complemented
10C37×#3348C211yesmaximal, characteristic, complemented
11C37×#3345C211yesmaximal, characteristic, complemented
12C37×#3344C211yesmaximal, characteristic, complemented
13C37×#3330C211yesmaximal, characteristic, complemented
14C37×#3323C211yesmaximal, characteristic, complemented
15C37×#3319C211yesmaximal, characteristic, complemented
16C37×#3315C211yesmaximal, characteristic, complemented
17C37×#3314C211yesmaximal, characteristic, complemented
18C37×#3306C211yesmaximal, characteristic, complemented
19C37×#3262C211yesmaximal, characteristic, complemented
20C37×#3258C211yesmaximal, characteristic, complemented
21C37×#3256C211yesmaximal, characteristic, complemented
22C37×#3243C211yesmaximal, characteristic, complemented
23C37×#3242C211yesmaximal, characteristic, complemented
24C37×#3239C211yesmaximal, characteristic, complemented
25C37×#3125C211yesmaximal, characteristic, complemented
26C37×#3118C211yesmaximal, characteristic, complemented
27C37×#3111C211yesmaximal, characteristic, complemented
28C37×#3084C211yesmaximal, characteristic, complemented
29C37×#3081C211yesmaximal, characteristic, complemented
30C37×#3079C211yesmaximal, characteristic, complemented
31C37×#2995C211yesmaximal, characteristic, complemented
32C37×#563—21no—
33C37×#563—21no—
34Q82×C37C2211yescharacteristic, complemented
35C37×#556C2211yescharacteristic
36C37×#556C2211yescharacteristic
37C37×#555C2211yescharacteristic
38C37×#554C2211yescharacteristic
39C37×#554C2211yescharacteristic
40C37×#554C2211yescharacteristic, complemented
41C37×#553—21no—
42C37×#553C2211yescharacteristic
43C37×#552—21no—
44C37×#552—21no—
45C37×#552C2211yescharacteristic
46C37×#552C2211yescharacteristic
47C37×#552C2211yescharacteristic, complemented
48C37×#551—21no—
49C37×#551—21no—
50C37×#547—21no—
51C37×#547C2211yescharacteristic
52C37×#547C2211yescharacteristic
53C37×#547C2211yescharacteristic, complemented
54C37×#546C2211yescharacteristic
55C37×#546C2211yescharacteristic
56C37×#544—21no—
57C37×#544C2211yescharacteristic
58C37×#544C2211yescharacteristic, complemented
59C37×#542—21no—
60C37×#542C2211yescharacteristic
61C37×#542C2211yescharacteristic
62C37×#542C2211yescharacteristic, complemented
63C37×#541C2211yescharacteristic
64C37×#539—21no—
65C37×#538—21no—
66C37×#536—21no—
67C37×#536—21no—
68C2×C4⋊Q8×C37C2211yescharacteristic, complemented
69C37×#529—21no—
70C37×#529C2211yescharacteristic
71C37×#529C2211yescharacteristic
72C37×#529C2211yescharacteristic, complemented
73C2×#126×C37—21no—
74C37×#520C2211yescharacteristic
75C37×#518C2211yescharacteristic
76C4×#41×C37C2211yescharacteristic
77C37×#501C2211yescharacteristic, complemented
78C37×#501C2211yescharacteristic, complemented
79C37×#501C2211yescharacteristic, complemented
80C37×#501C2211yescharacteristic, complemented
81C37×#500C2211yescharacteristic, complemented
82C37×#499C2211yescharacteristic, complemented
83C37×#491C2211yescharacteristic, complemented
84C37×#489C2211yescharacteristic
85C37×#489C2211yescharacteristic
86C37×#489C2211yescharacteristic
87C37×#488C2211yescharacteristic
88C37×#487C2211yescharacteristic, complemented
89C37×#485C2211yescharacteristic
90C37×#485C2211yescharacteristic
91C37×#485C2211yescharacteristic
92C37×#485C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#484C2211yescharacteristic
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#484C2211yescharacteristic, complemented
98C37×#483C2211yescharacteristic
99C37×#483C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic
101C37×#482C2211yescharacteristic
102C37×#482C2211yescharacteristic, complemented
103C37×#481C2211yescharacteristic
104C37×#481C2211yescharacteristic
105C37×#481C2211yescharacteristic, complemented
106C37×#480C2211yescharacteristic
107C37×#479C2211yescharacteristic, complemented
108C37×#479C2211yescharacteristic, complemented
109C37×#479C2211yescharacteristic, complemented
110C37×#479C2211yescharacteristic, complemented
111C37×#479C2211yescharacteristic, complemented
112C37×#478C2211yescharacteristic
113C37×#478C2211yescharacteristic
114C37×#478C2211yescharacteristic
115C37×#478C2211yescharacteristic
116C37×#478C2211yescharacteristic
117C37×#478C2211yescharacteristic, complemented
118C37×#478C2211yescharacteristic, complemented
119C37×#477C2211yescharacteristic, complemented
120C37×#477C2211yescharacteristic, complemented
121C37×#477C2211yescharacteristic, complemented
122C37×#476C2211yescharacteristic
123C37×#476C2211yescharacteristic
124C37×#476C2211yescharacteristic
125C37×#476C2211yescharacteristic
126C37×#475C2211yescharacteristic, complemented
127C37×#475C2211yescharacteristic, complemented
128C37×#475C2211yescharacteristic, complemented
129C37×#475C2211yescharacteristic, complemented
130C37×#475C2211yescharacteristic, complemented
131C37×#474C2211yescharacteristic
132C37×#474C2211yescharacteristic
133C37×#474C2211yescharacteristic
134C37×#474C2211yescharacteristic
135C37×#474C2211yescharacteristic
136C37×#474C2211yescharacteristic, complemented
137C37×#470C2211yescharacteristic
138C37×#470C2211yescharacteristic, complemented
139C37×#469C2211yescharacteristic
140C37×#468C2211yescharacteristic
141C37×#468C2211yescharacteristic
142C37×#468C2211yescharacteristic
143C37×#468C2211yescharacteristic, complemented
144C37×#468C2211yescharacteristic, complemented
145C37×#467C2211yescharacteristic
146C37×#467C2211yescharacteristic, complemented
147C37×#466C2211yescharacteristic
148C37×#465C2211yescharacteristic
149C37×#464C2211yescharacteristic
150C37×#464C2211yescharacteristic
151C37×#464C2211yescharacteristic, complemented
152C37×#464C2211yescharacteristic, complemented
153C37×#463C2211yescharacteristic
154C37×#463C2211yescharacteristic
155C37×#463C2211yescharacteristic
156C37×#463C2211yescharacteristic
157C37×#462C2211yescharacteristic, complemented
158C37×#461C2211yescharacteristic, complemented
159C37×#452C2211yescharacteristic
160C37×#452C2211yescharacteristic
161C37×#450C2211yescharacteristic
162C37×#449C2211yescharacteristic
163C37×#449C2211yescharacteristic
164C37×#447C2211yescharacteristic
165C37×#446C2211yescharacteristic, complemented
166C37×#446C2211yescharacteristic, complemented
167C37×#442C2211yescharacteristic
168C37×#442C2211yescharacteristic
169C37×#442C2211yescharacteristic
170C37×#441C2211yescharacteristic, complemented
171C37×#441C2211yescharacteristic, complemented
172C37×#440C2211yescharacteristic
173C37×#440C2211yescharacteristic
174C37×#440C2211yescharacteristic, complemented
175C4×SD16×C37C2211yescharacteristic
176C4×SD16×C37C2211yescharacteristic
177C4×SD16×C37C2211yescharacteristic, complemented
178C4×D8×C37C2211yescharacteristic
179C37×#436C2211yescharacteristic
180C37×#436C2211yescharacteristic, complemented
181C37×#435C2211yescharacteristic
182C37×#435C2211yescharacteristic
183C37×#435C2211yescharacteristic
184C37×#435C2211yescharacteristic, complemented
185C37×#433C2211yescharacteristic
186C37×#433C2211yescharacteristic, complemented
187C37×#432C2211yescharacteristic, complemented
188C37×#428C2211yescharacteristic
189C37×#428C2211yescharacteristic, complemented
190C37×#428C2211yescharacteristic, complemented
191C37×#428C2211yescharacteristic, complemented
192C37×#427C2211yescharacteristic
193C2×#106×C37C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic
195C37×#424C2211yescharacteristic, complemented
196C37×#423C2211yescharacteristic, complemented
197C37×#418C2211yescharacteristic
198C37×#417C2211yescharacteristic
199C37×#417C2211yescharacteristic
200C37×#417C2211yescharacteristic
201C37×#416C2211yescharacteristic
202C2×#102×C37C2211yescharacteristic
203C2×#41×C37—21no—
204C2×#41×C37—21no—
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C22×Q8×C37—21no—
208C22×D4×C37C2311yescharacteristic
209C2×Q16×C37C2311yescharacteristic
210C2×Q16×C37C2311yescharacteristic
211C2×SD16×C37C2311yescharacteristic
212C2×SD16×C37C2311yescharacteristic
213C2×SD16×C37C2311yescharacteristic
214C2×SD16×C37C2311yescharacteristic
215C2×D8×C37C2311yescharacteristic
216C2×D8×C37C2311yescharacteristic
217C2×M16×C37C2311yescharacteristic
218C2×M16×C37C2311yescharacteristic
219C2×M16×C37C2311yescharacteristic
220C2×M16×C37C2311yescharacteristic
221C22×C8×C37C2311yescharacteristic
222C22×C8×C37C2311yescharacteristic
223C4⋊Q8×C37—21no—
224C4⋊Q8×C37—21no—
225C4⋊Q8×C37—21no—
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
234C4⋊Q8×C37C2311yescharacteristic
235C4⋊Q8×C37C2311yescharacteristic
236C4⋊Q8×C37C2311yescharacteristic
237C4⋊Q8×C37C2311yescharacteristic
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#126×C37—21no—
250#126×C37—21no—
251#126×C37—21no—
252#126×C37—21no—
253#126×C37D411yescharacteristic
254#126×C37D411yescharacteristic
255#125×C37—21no—
256#125×C37—21no—
257#125×C37—21no—
258#125×C37—21no—
259#125×C37—21no—
260#125×C37—21no—
261#125×C37—21no—
262#125×C37—21no—
263#125×C37D411yescharacteristic
264#125×C37C2311yescharacteristic
265#125×C37C2311yescharacteristic
266#125×C37C2311yescharacteristic
267#125×C37C2311yescharacteristic
268#125×C37C2311yescharacteristic
269#124×C37—21no—
270#124×C37—21no—
271#124×C37—21no—
272#124×C37—21no—
273#124×C37—21no—
274#124×C37—21no—
275#124×C37D411yescharacteristic
276#124×C37C2311yescharacteristic
277#124×C37C2311yescharacteristic
278#124×C37C2311yescharacteristic
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×C37—21no—
287#123×C37—21no—
288#123×C37—21no—
289#123×C37—21no—
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37D411yescharacteristic
297#123×C37D411yescharacteristic
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×C37—21no—
307C22⋊Q8×C37—21no—
308C22⋊Q8×C37—21no—
309C22⋊Q8×C37—21no—
310C22⋊Q8×C37—21no—
311C22⋊Q8×C37—21no—
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37D411yescharacteristic
317C22⋊Q8×C37C2311yescharacteristic
318C22⋊Q8×C37C2311yescharacteristic
319C22⋊Q8×C37C2311yescharacteristic
320C22⋊Q8×C37C2311yescharacteristic
321C22⋊Q8×C37C2311yescharacteristic
322C22⋊Q8×C37C2311yescharacteristic
323C22⋊Q8×C37C2311yescharacteristic
324#121×C37—21no—
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37D411yescharacteristic
330#121×C37C2311yescharacteristic
331#121×C37C2311yescharacteristic
332#121×C37C2311yescharacteristic
333#121×C37C2311yescharacteristic
334#121×C37C2311yescharacteristic
335#120×C37—21no—
336#120×C37—21no—
337C4×Q8×C37—21no—
338C4×Q8×C37—21no—
339C4×Q8×C37C2311yescharacteristic
340C4×Q8×C37C2311yescharacteristic
341C4×Q8×C37C2311yescharacteristic
342C4×Q8×C37C2311yescharacteristic
343C4×Q8×C37C2311yescharacteristic
344C4×Q8×C37C2311yescharacteristic
345C4×Q8×C37C2311yescharacteristic
346C4×Q8×C37C2311yescharacteristic
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×C37C2311yescharacteristic
358C4×D4×C37C2311yescharacteristic
359C4×D4×C37C2311yescharacteristic
360C4×D4×C37C2311yescharacteristic
361C4×D4×C37C2311yescharacteristic
362C4×D4×C37C2311yescharacteristic
363C4×D4×C37C2311yescharacteristic
364C4×D4×C37C2311yescharacteristic
365C4×D4×C37C2311yescharacteristic
366C4×D4×C37C2311yescharacteristic
367C4×D4×C37C2311yescharacteristic
368C4×D4×C37C2311yescharacteristic
369#117×C37—21no—
370#117×C37—21no—
371#117×C37—21no—
372#117×C37—21no—
373#117×C37—21no—
374#117×C37—21no—
375#117×C37—21no—
376#117×C37—21no—
377#117×C37—21no—
378#117×C37C2311yescharacteristic
379#117×C37C2311yescharacteristic
380#117×C37C2311yescharacteristic
381#117×C37C2311yescharacteristic
382#117×C37C2311yescharacteristic
383#117×C37C2311yescharacteristic
384C2×C4⋊C4×C37—21no—
385C2×C4⋊C4×C37—21no—
386C2×C4⋊C4×C37—21no—
387C2×C4⋊C4×C37—21no—
388C2×C4⋊C4×C37—21no—
389C2×C4⋊C4×C37C2311yescharacteristic
390C2×C4⋊C4×C37C2311yescharacteristic
391C2×C4⋊C4×C37C2311yescharacteristic
392C2×C4⋊C4×C37C2311yescharacteristic
393C2×C4⋊C4×C37C2311yescharacteristic
394C2×C22⋊C4×C37—21no—
395C2×C22⋊C4×C37—21no—
396C2×C22⋊C4×C37—21no—
397C2×C22⋊C4×C37—21no—
398C2×C42×C37—21no—
399C2×C42×C37C2311yescharacteristic
400#107×C37C2311yescharacteristic
401#107×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#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
424C4⋊C8×C37C2311yescharacteristic
425C4⋊C8×C37C2311yescharacteristic
426C4⋊C8×C37C2311yescharacteristic
427C4⋊C8×C37C2311yescharacteristic
428C4⋊C8×C37C2311yescharacteristic
429C4⋊C8×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×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#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
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466C22⋊C8×C37C2311yescharacteristic
467C22⋊C8×C37C2311yescharacteristic
468C22⋊C8×C37C2311yescharacteristic
469C22⋊C8×C37C2311yescharacteristic
470C22⋊C8×C37C2311yescharacteristic
471C22⋊C8×C37C2311yescharacteristic
472#97×C37C2311yescharacteristic
473#97×C37C2311yescharacteristic
474#97×C37C2311yescharacteristic
475#97×C37C2311yescharacteristic
476C4×C8×C37C2311yescharacteristic
477C4×C8×C37C2311yescharacteristic
478C24×C37—21no—
479#41×C37—22no—
480#41×C37—22no—
481#41×C37—41no—
482#41×C37—41no—
483#41×C37—82no—
484#41×C37—82no—
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—21no—
492C2×Q8×C37—82no—
493C2×Q8×C37C2×D411yescharacteristic
494C2×Q8×C37C2411yescharacteristic
495C2×Q8×C37C2411yescharacteristic
496C2×Q8×C37C2411yescharacteristic
497C2×D4×C37—22no—
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—41no—
507C2×D4×C37C2×D411yescharacteristic
508C2×D4×C37C2×D411yescharacteristic
509C2×D4×C37C2×D411yescharacteristic
510C2×D4×C37C2411yescharacteristic
511C2×D4×C37C2411yescharacteristic
512C2×D4×C37C2411yescharacteristic
513C22×C4×C37—21no—
514C22×C4×C37—21no—
515C22×C4×C37—21no—
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×C37C2×D411yescharacteristic
530C22×C4×C37C2×D411yescharacteristic
531C22×C4×C37C2411yescharacteristic
532C22×C4×C37C2411yescharacteristic
533C22×C4×C37C2411yescharacteristic
534Q16×C37—41no—
535Q16×C37—41no—
536SD16×C37—22no—
537SD16×C37—41no—
538SD16×C37—41no—
539SD16×C37—41no—
540D8×C37—22no—
541D8×C37—41no—
542M16×C37—41no—
543M16×C37—41no—
544M16×C37—41no—
545M16×C37—41no—
546C2×C8×C37—41no—
547C2×C8×C37—41no—
548C2×C8×C37C2411yescharacteristic
549C2×C8×C37C2411yescharacteristic
550C2×C8×C37C2411yescharacteristic
551C2×C8×C37C2411yescharacteristic
552C2×C8×C37C2411yescharacteristic
553C2×C8×C37C2411yescharacteristic
554C2×C8×C37C2411yescharacteristic
555C2×C8×C37C2411yescharacteristic
556C4⋊C4×C37—21no—
557C4⋊C4×C37—21no—
558C4⋊C4×C37—21no—
559C4⋊C4×C37—21no—
560C4⋊C4×C37—21no—
561C4⋊C4×C37—21no—
562C4⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
595C4⋊C4×C37C2×D411yescharacteristic
596C4⋊C4×C37C2×D411yescharacteristic
597C4⋊C4×C37C2×D411yescharacteristic
598C4⋊C4×C37C2×D411yescharacteristic
599C4⋊C4×C37C2×D411yescharacteristic
600C4⋊C4×C37C2×D411yescharacteristic
601C4⋊C4×C37C2×D411yescharacteristic
602C4⋊C4×C37C2×D411yescharacteristic
603C4⋊C4×C37C2×D411yescharacteristic
604C4⋊C4×C37C2411yescharacteristic
605C4⋊C4×C37C2411yescharacteristic
606C4⋊C4×C37C2411yescharacteristic
607C4⋊C4×C37C2411yescharacteristic
608C4⋊C4×C37C2411yescharacteristic
609C4⋊C4×C37C2411yescharacteristic
610C4⋊C4×C37C2411yescharacteristic
611C4⋊C4×C37C2411yescharacteristic
612C4⋊C4×C37C2411yescharacteristic
613C4⋊C4×C37C2411yescharacteristic
614C22⋊C4×C37—21no—
615C22⋊C4×C37—21no—
616C22⋊C4×C37—21no—
617C22⋊C4×C37—21no—
618C22⋊C4×C37—21no—
619C22⋊C4×C37—21no—
620C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
646C22⋊C4×C37C2×D411yescharacteristic
647C22⋊C4×C37C2×D411yescharacteristic
648C22⋊C4×C37C2×D411yescharacteristic
649C22⋊C4×C37C2×D411yescharacteristic
650C22⋊C4×C37C2×D411yescharacteristic
651C22⋊C4×C37C2×D411yescharacteristic
652C22⋊C4×C37C2×D411yescharacteristic
653C22⋊C4×C37C2×D411yescharacteristic
654C22⋊C4×C37C2×D411yescharacteristic
655C42×C37—21no—
656C42×C37—21no—
657C42×C37—21no—
658C42×C37—21no—
659C42×C37—21no—
660C42×C37—21no—
661C42×C37—21no—
662C42×C37—21no—
663C42×C37—21no—
664C42×C37—21no—
665C42×C37—21no—
666C42×C37C2×D411yescharacteristic
667C42×C37C2×D411yescharacteristic
668C42×C37C2411yescharacteristic
669C42×C37C2411yescharacteristic
670C42×C37C2411yescharacteristic
671C42×C37C2411yescharacteristic
672C23×C37—21no—
673C23×C37—21no—
674C23×C37—21no—
675C23×C37—42no—
676C23×C37—81no—
677C23×C37—81no—
678C23×C37C22×D411yescharacteristic
679C23×C37C22×D411yescharacteristic
680C23×C37C22×D411yescharacteristic
681Q8×C37—21no—
682Q8×C37—21no—
683Q8×C37—21no—
684Q8×C37—21no—
685Q8×C37—21no—
686Q8×C37—21no—
687Q8×C37—41no—
688Q8×C37—81no—
689Q8×C37—81no—
690Q8×C37—81no—
691Q8×C37—81no—
692Q8×C37—81no—
693Q8×C37—81no—
694Q8×C37—81no—
695D4×C37—21no—
696D4×C37—21no—
697D4×C37—21no—
698D4×C37—21no—
699D4×C37—21no—
700D4×C37—41no—
701D4×C37—41no—
702D4×C37—41no—
703D4×C37—42no—
704D4×C37—42no—
705D4×C37—42no—
706D4×C37—42no—
707D4×C37—81no—
708D4×C37—81no—
709D4×C37—81no—
710D4×C37—81no—
711D4×C372−1+412yes—
712C2×C4×C37—21no—
713C2×C4×C37—21no—
714C2×C4×C37—21no—
715C2×C4×C37—21no—
716C2×C4×C37—21no—
717C2×C4×C37—21no—
718C2×C4×C37—21no—
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—41no—
732C2×C4×C37—41no—
733C2×C4×C37—42no—
734C2×C4×C37—42no—
735C2×C4×C37—42no—
736C2×C4×C37—42no—
737C2×C4×C37—42no—
738C2×C4×C37—81no—
739C2×C4×C37—81no—
740C2×C4×C37—81no—
741C2×C4×C37—81no—
742C2×C4×C37—81no—
743C2×C4×C37—81no—
744C2×C4×C37—81no—
745C2×C4×C37—81no—
746C2×C4×C37—81no—
747C2×C4×C37—81no—
748C2×C4×C37—81no—
749C2×C4×C37C22×D411yescharacteristic
750C2×C4×C37C22×D411yescharacteristic
751C2×C4×C37C22×D411yescharacteristic
752C2×C4×C37C22×D411yescharacteristic
753C2×C4×C37C22×D411yescharacteristic
754C2×C4×C37C22×D411yescharacteristic
755C2×C4×C37C22×D411yescharacteristic
756C2×C4×C37C22×D411yescharacteristic
757C2×C4×C37C22×D411yescharacteristic
758C2×C4×C37C22×D411yescharacteristic
759C2×C4×C37C22×D411yescharacteristic
760C2×C4×C37C2511yescharacteristic
761C8×C37—21no—
762C8×C37—21no—
763C8×C37—21no—
764C8×C37—21no—
765C8×C37—21no—
766C8×C37—21no—
767C8×C37—21no—
768C8×C37—21no—
769#62228C3711yesmaximal, characteristic, direct product factor, Sylow
770C22×C37—21no—
771C22×C37—21no—
772C22×C37—21no—
773C22×C37—21no—
774C22×C37—21no—
775C22×C37—21no—
776C22×C37—21no—
777C22×C37—21no—
778C22×C37—21no—
779C22×C37—22no—
780C22×C37—41no—
781C22×C37—41no—
782C22×C37—41no—
783C22×C37—41no—
784C22×C37—41no—
785C22×C37—41no—
786C22×C37—41no—
787C22×C37—41no—
788C22×C37—162no—
789C22×C37C23×D411yescharacteristic
790C4×C37—21no—
791C4×C37—21no—
792C4×C37—21no—
793C4×C37—21no—
794C4×C37—21no—
795C4×C37—21no—
796C4×C37—21no—
797C4×C37—21no—
798C4×C37—21no—
799C4×C37—21no—
800C4×C37—21no—
801C4×C37—41no—
802C4×C37—41no—
803C4×C37—41no—
804C4×C37—41no—
805C4×C37—41no—
806C4×C37—41no—
807C4×C37—41no—
808C4×C37—41no—
809C4×C37—41no—
810C4×C37—41no—
811C4×C37—41no—
812C4×C37—41no—
813C4×C37—41no—
814C4×C37C2×2−1+411yescharacteristic
815C4×C37#58511yescharacteristic
816#3544C2×C3711yescharacteristic, complemented
817#3521C2×C3711yescharacteristic, complemented
818#3389C2×C3711yescharacteristic, complemented
819#3385C2×C3711yescharacteristic, complemented
820#3376C2×C3711yescharacteristic, complemented
821#3369C2×C3711yescharacteristic, complemented
822#3353C2×C3711yescharacteristic, complemented
823#3351C2×C3711yescharacteristic, complemented
824#3349C2×C3711yescharacteristic, complemented
825#3348C2×C3711yescharacteristic, complemented
826#3345C2×C3711yescharacteristic, complemented
827#3344C2×C3711yescharacteristic, complemented
828#3330C2×C3711yescharacteristic, complemented
829#3323C2×C3711yescharacteristic, complemented
830#3319C2×C3711yescharacteristic, complemented
831#3315C2×C3711yescharacteristic, complemented
832#3314C2×C3711yescharacteristic, complemented
833#3306C2×C3711yescharacteristic, complemented
834#3262C2×C3711yescharacteristic, complemented
835#3258C2×C3711yescharacteristic, complemented
836#3256C2×C3711yescharacteristic, complemented
837#3243C2×C3711yescharacteristic, complemented
838#3242C2×C3711yescharacteristic, complemented
839#3239C2×C3711yescharacteristic, complemented
840#3125C2×C3711yescharacteristic, complemented
841#3118C2×C3711yescharacteristic, complemented
842#3111C2×C3711yescharacteristic, complemented
843#3084C2×C3711yescharacteristic, complemented
844#3081C2×C3711yescharacteristic, complemented
845#3079C2×C3711yescharacteristic, complemented
846#2995C2×C3711yescharacteristic, complemented
847C2×C37—41no—
848C2×C37—41no—
849C2×C37—41no—
850C2×C37—42no—
851C2×C37—81no—
852C2×C37—81no—
853C2×C37#348911yescharacteristic
854C2×C37#358511yescharacteristic
855C2×C37#358611yescharacteristic
856#563—21no—
857#563—21no—
858Q82C22×C3711yescharacteristic, complemented
859#556C22×C3711yescharacteristic
860#556C22×C3711yescharacteristic
861#555C22×C3711yescharacteristic
862#554C22×C3711yescharacteristic
863#554C22×C3711yescharacteristic
864#554C22×C3711yescharacteristic, complemented
865#553—21no—
866#553C22×C3711yescharacteristic
867#552—21no—
868#552—21no—
869#552C22×C3711yescharacteristic
870#552C22×C3711yescharacteristic
871#552C22×C3711yescharacteristic, complemented
872#551—21no—
873#551—21no—
874#547—21no—
875#547C22×C3711yescharacteristic
876#547C22×C3711yescharacteristic
877#547C22×C3711yescharacteristic, complemented
878#546C22×C3711yescharacteristic
879#546C22×C3711yescharacteristic
880#544—21no—
881#544C22×C3711yescharacteristic
882#544C22×C3711yescharacteristic, complemented
883#542—21no—
884#542C22×C3711yescharacteristic
885#542C22×C3711yescharacteristic
886#542C22×C3711yescharacteristic, complemented
887#541C22×C3711yescharacteristic
888#539—21no—
889#538—21no—
890#536—21no—
891#536—21no—
892C2×C4⋊Q8C22×C3711yescharacteristic, complemented
893#529—21no—
894#529C22×C3711yescharacteristic
895#529C22×C3711yescharacteristic
896#529C22×C3711yescharacteristic, complemented
897C2×#126—21no—
898#520C22×C3711yescharacteristic
899#518C22×C3711yescharacteristic
900C4×#41C22×C3711yescharacteristic
901#501C22×C3711yescharacteristic, complemented
902#501C22×C3711yescharacteristic, complemented
903#501C22×C3711yescharacteristic, complemented
904#501C22×C3711yescharacteristic, complemented
905#500C22×C3711yescharacteristic, complemented
906#499C22×C3711yescharacteristic, complemented
907#491C22×C3711yescharacteristic, complemented
908#489C22×C3711yescharacteristic
909#489C22×C3711yescharacteristic
910#489C22×C3711yescharacteristic
911#488C22×C3711yescharacteristic
912#487C22×C3711yescharacteristic, complemented
913#485C22×C3711yescharacteristic
914#485C22×C3711yescharacteristic
915#485C22×C3711yescharacteristic
916#485C22×C3711yescharacteristic, complemented
917#485C22×C3711yescharacteristic, complemented
918#484C22×C3711yescharacteristic
919#484C22×C3711yescharacteristic, complemented
920#484C22×C3711yescharacteristic, complemented
921#484C22×C3711yescharacteristic, complemented
922#483C22×C3711yescharacteristic
923#483C22×C3711yescharacteristic, complemented
924#482C22×C3711yescharacteristic
925#482C22×C3711yescharacteristic
926#482C22×C3711yescharacteristic, complemented
927#481C22×C3711yescharacteristic
928#481C22×C3711yescharacteristic
929#481C22×C3711yescharacteristic, complemented
930#480C22×C3711yescharacteristic
931#479C22×C3711yescharacteristic, complemented
932#479C22×C3711yescharacteristic, complemented
933#479C22×C3711yescharacteristic, complemented
934#479C22×C3711yescharacteristic, complemented
935#479C22×C3711yescharacteristic, complemented
936#478C22×C3711yescharacteristic
937#478C22×C3711yescharacteristic
938#478C22×C3711yescharacteristic
939#478C22×C3711yescharacteristic
940#478C22×C3711yescharacteristic
941#478C22×C3711yescharacteristic, complemented
942#478C22×C3711yescharacteristic, complemented
943#477C22×C3711yescharacteristic, complemented
944#477C22×C3711yescharacteristic, complemented
945#477C22×C3711yescharacteristic, complemented
946#476C22×C3711yescharacteristic
947#476C22×C3711yescharacteristic
948#476C22×C3711yescharacteristic
949#476C22×C3711yescharacteristic
950#475C22×C3711yescharacteristic, complemented
951#475C22×C3711yescharacteristic, complemented
952#475C22×C3711yescharacteristic, complemented
953#475C22×C3711yescharacteristic, complemented
954#475C22×C3711yescharacteristic, complemented
955#474C22×C3711yescharacteristic
956#474C22×C3711yescharacteristic
957#474C22×C3711yescharacteristic
958#474C22×C3711yescharacteristic
959#474C22×C3711yescharacteristic
960#474C22×C3711yescharacteristic, complemented
961#470C22×C3711yescharacteristic
962#470C22×C3711yescharacteristic, complemented
963#469C22×C3711yescharacteristic
964#468C22×C3711yescharacteristic
965#468C22×C3711yescharacteristic
966#468C22×C3711yescharacteristic
967#468C22×C3711yescharacteristic, complemented
968#468C22×C3711yescharacteristic, complemented
969#467C22×C3711yescharacteristic
970#467C22×C3711yescharacteristic, complemented
971#466C22×C3711yescharacteristic
972#465C22×C3711yescharacteristic
973#464C22×C3711yescharacteristic
974#464C22×C3711yescharacteristic
975#464C22×C3711yescharacteristic, complemented
976#464C22×C3711yescharacteristic, complemented
977#463C22×C3711yescharacteristic
978#463C22×C3711yescharacteristic
979#463C22×C3711yescharacteristic
980#463C22×C3711yescharacteristic
981#462C22×C3711yescharacteristic, complemented
982#461C22×C3711yescharacteristic, complemented
983#452C22×C3711yescharacteristic
984#452C22×C3711yescharacteristic
985#450C22×C3711yescharacteristic
986#449C22×C3711yescharacteristic
987#449C22×C3711yescharacteristic
988#447C22×C3711yescharacteristic
989#446C22×C3711yescharacteristic, complemented
990#446C22×C3711yescharacteristic, complemented
991#442C22×C3711yescharacteristic
992#442C22×C3711yescharacteristic
993#442C22×C3711yescharacteristic
994#441C22×C3711yescharacteristic, complemented
995#441C22×C3711yescharacteristic, complemented
996#440C22×C3711yescharacteristic
997#440C22×C3711yescharacteristic
998#440C22×C3711yescharacteristic, complemented
999C4×SD16C22×C3711yescharacteristic
1000C4×SD16C22×C3711yescharacteristic
1001C4×SD16C22×C3711yescharacteristic, complemented
1002C4×D8C22×C3711yescharacteristic
1003#436C22×C3711yescharacteristic
1004#436C22×C3711yescharacteristic, complemented
1005#435C22×C3711yescharacteristic
1006#435C22×C3711yescharacteristic
1007#435C22×C3711yescharacteristic
1008#435C22×C3711yescharacteristic, complemented
1009#433C22×C3711yescharacteristic
1010#433C22×C3711yescharacteristic, complemented
1011#432C22×C3711yescharacteristic, complemented
1012#428C22×C3711yescharacteristic
1013#428C22×C3711yescharacteristic, complemented
1014#428C22×C3711yescharacteristic, complemented
1015#428C22×C3711yescharacteristic, complemented
1016#427C22×C3711yescharacteristic
1017C2×#106C22×C3711yescharacteristic, complemented
1018#424C22×C3711yescharacteristic
1019#424C22×C3711yescharacteristic, complemented
1020#423C22×C3711yescharacteristic, complemented
1021#418C22×C3711yescharacteristic
1022#417C22×C3711yescharacteristic
1023#417C22×C3711yescharacteristic
1024#417C22×C3711yescharacteristic
1025#416C22×C3711yescharacteristic
1026C2×#102C22×C3711yescharacteristic
1027C37#6222811yescharacteristic, direct product factor, Sylow
1028C2×#41—21no—
1029C2×#41—21no—
1030C2×#41C23×C3711yescharacteristic
1031C2×#41C23×C3711yescharacteristic
1032C22×Q8—21no—
1033C22×D4C23×C3711yescharacteristic
1034C2×Q16C23×C3711yescharacteristic
1035C2×Q16C23×C3711yescharacteristic
1036C2×SD16C23×C3711yescharacteristic
1037C2×SD16C23×C3711yescharacteristic
1038C2×SD16C23×C3711yescharacteristic
1039C2×SD16C23×C3711yescharacteristic
1040C2×D8C23×C3711yescharacteristic
1041C2×D8C23×C3711yescharacteristic
1042C2×M16C23×C3711yescharacteristic
1043C2×M16C23×C3711yescharacteristic
1044C2×M16C23×C3711yescharacteristic
1045C2×M16C23×C3711yescharacteristic
1046C22×C8C23×C3711yescharacteristic
1047C22×C8C23×C3711yescharacteristic
1048C4⋊Q8—21no—
1049C4⋊Q8—21no—
1050C4⋊Q8—21no—
1051C4⋊Q8—21no—
1052C4⋊Q8—21no—
1053C4⋊Q8—21no—
1054C4⋊Q8—21no—
1055C4⋊Q8C23×C3711yescharacteristic
1056C4⋊Q8C23×C3711yescharacteristic
1057C4⋊Q8C23×C3711yescharacteristic
1058C4⋊Q8C23×C3711yescharacteristic
1059C4⋊Q8C23×C3711yescharacteristic
1060C4⋊Q8C23×C3711yescharacteristic
1061C4⋊Q8C23×C3711yescharacteristic
1062C4⋊Q8C23×C3711yescharacteristic
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
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#126D4×C3711yescharacteristic
1079#126D4×C3711yescharacteristic
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125D4×C3711yescharacteristic
1089#125C23×C3711yescharacteristic
1090#125C23×C3711yescharacteristic
1091#125C23×C3711yescharacteristic
1092#125C23×C3711yescharacteristic
1093#125C23×C3711yescharacteristic
1094#124—21no—
1095#124—21no—
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124D4×C3711yescharacteristic
1101#124C23×C3711yescharacteristic
1102#124C23×C3711yescharacteristic
1103#124C23×C3711yescharacteristic
1104#123—21no—
1105#123—21no—
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#123—21no—
1121#123D4×C3711yescharacteristic
1122#123D4×C3711yescharacteristic
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⋊Q8—21no—
1141C22⋊Q8D4×C3711yescharacteristic
1142C22⋊Q8C23×C3711yescharacteristic
1143C22⋊Q8C23×C3711yescharacteristic
1144C22⋊Q8C23×C3711yescharacteristic
1145C22⋊Q8C23×C3711yescharacteristic
1146C22⋊Q8C23×C3711yescharacteristic
1147C22⋊Q8C23×C3711yescharacteristic
1148C22⋊Q8C23×C3711yescharacteristic
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121D4×C3711yescharacteristic
1155#121C23×C3711yescharacteristic
1156#121C23×C3711yescharacteristic
1157#121C23×C3711yescharacteristic
1158#121C23×C3711yescharacteristic
1159#121C23×C3711yescharacteristic
1160#120—21no—
1161#120—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8C23×C3711yescharacteristic
1165C4×Q8C23×C3711yescharacteristic
1166C4×Q8C23×C3711yescharacteristic
1167C4×Q8C23×C3711yescharacteristic
1168C4×Q8C23×C3711yescharacteristic
1169C4×Q8C23×C3711yescharacteristic
1170C4×Q8C23×C3711yescharacteristic
1171C4×Q8C23×C3711yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4C23×C3711yescharacteristic
1183C4×D4C23×C3711yescharacteristic
1184C4×D4C23×C3711yescharacteristic
1185C4×D4C23×C3711yescharacteristic
1186C4×D4C23×C3711yescharacteristic
1187C4×D4C23×C3711yescharacteristic
1188C4×D4C23×C3711yescharacteristic
1189C4×D4C23×C3711yescharacteristic
1190C4×D4C23×C3711yescharacteristic
1191C4×D4C23×C3711yescharacteristic
1192C4×D4C23×C3711yescharacteristic
1193C4×D4C23×C3711yescharacteristic
1194#117—21no—
1195#117—21no—
1196#117—21no—
1197#117—21no—
1198#117—21no—
1199#117—21no—
1200#117—21no—
1201#117—21no—
1202#117—21no—
1203#117C23×C3711yescharacteristic
1204#117C23×C3711yescharacteristic
1205#117C23×C3711yescharacteristic
1206#117C23×C3711yescharacteristic
1207#117C23×C3711yescharacteristic
1208#117C23×C3711yescharacteristic
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—21no—
1214C2×C4⋊C4C23×C3711yescharacteristic
1215C2×C4⋊C4C23×C3711yescharacteristic
1216C2×C4⋊C4C23×C3711yescharacteristic
1217C2×C4⋊C4C23×C3711yescharacteristic
1218C2×C4⋊C4C23×C3711yescharacteristic
1219C2×C22⋊C4—21no—
1220C2×C22⋊C4—21no—
1221C2×C22⋊C4—21no—
1222C2×C22⋊C4—21no—
1223C2×C42—21no—
1224C2×C42C23×C3711yescharacteristic
1225#107C23×C3711yescharacteristic
1226#107C23×C3711yescharacteristic
1227#107C23×C3711yescharacteristic
1228#107C23×C3711yescharacteristic
1229#107C23×C3711yescharacteristic
1230#107C23×C3711yescharacteristic
1231#107C23×C3711yescharacteristic
1232#107C23×C3711yescharacteristic
1233#107C23×C3711yescharacteristic
1234#107C23×C3711yescharacteristic
1235#107C23×C3711yescharacteristic
1236#107C23×C3711yescharacteristic
1237#106C23×C3711yescharacteristic
1238#106C23×C3711yescharacteristic
1239#106C23×C3711yescharacteristic
1240#106C23×C3711yescharacteristic
1241#106C23×C3711yescharacteristic
1242#106C23×C3711yescharacteristic
1243#106C23×C3711yescharacteristic
1244#106C23×C3711yescharacteristic
1245#106C23×C3711yescharacteristic
1246#106C23×C3711yescharacteristic
1247#106C23×C3711yescharacteristic
1248#106C23×C3711yescharacteristic
1249C4⋊C8C23×C3711yescharacteristic
1250C4⋊C8C23×C3711yescharacteristic
1251C4⋊C8C23×C3711yescharacteristic
1252C4⋊C8C23×C3711yescharacteristic
1253C4⋊C8C23×C3711yescharacteristic
1254C4⋊C8C23×C3711yescharacteristic
1255C4⋊C8C23×C3711yescharacteristic
1256C4⋊C8C23×C3711yescharacteristic
1257C4⋊C8C23×C3711yescharacteristic
1258C4⋊C8C23×C3711yescharacteristic
1259#103C23×C3711yescharacteristic
1260#103C23×C3711yescharacteristic
1261#103C23×C3711yescharacteristic
1262#103C23×C3711yescharacteristic
1263#103C23×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#102C23×C3711yescharacteristic
1276#102C23×C3711yescharacteristic
1277#102C23×C3711yescharacteristic
1278#102C23×C3711yescharacteristic
1279#102C23×C3711yescharacteristic
1280#102C23×C3711yescharacteristic
1281#102C23×C3711yescharacteristic
1282#102C23×C3711yescharacteristic
1283#102C23×C3711yescharacteristic
1284#102C23×C3711yescharacteristic
1285#102C23×C3711yescharacteristic
1286#102C23×C3711yescharacteristic
1287#102C23×C3711yescharacteristic
1288#102C23×C3711yescharacteristic
1289#102C23×C3711yescharacteristic
1290#102C23×C3711yescharacteristic
1291C22⋊C8C23×C3711yescharacteristic
1292C22⋊C8C23×C3711yescharacteristic
1293C22⋊C8C23×C3711yescharacteristic
1294C22⋊C8C23×C3711yescharacteristic
1295C22⋊C8C23×C3711yescharacteristic
1296C22⋊C8C23×C3711yescharacteristic
1297#97C23×C3711yescharacteristic
1298#97C23×C3711yescharacteristic
1299#97C23×C3711yescharacteristic
1300#97C23×C3711yescharacteristic
1301C4×C8C23×C3711yescharacteristic
1302C4×C8C23×C3711yescharacteristic
1303C24—21no—
1304#41—22no—
1305#41—22no—
1306#41—41no—
1307#41—41no—
1308#41—82no—
1309#41—82no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—21no—
1314C2×Q8—21no—
1315C2×Q8—21no—
1316C2×Q8—21no—
1317C2×Q8—82no—
1318C2×Q8C2×D4×C3711yescharacteristic
1319C2×Q8C24×C3711yescharacteristic
1320C2×Q8C24×C3711yescharacteristic
1321C2×Q8C24×C3711yescharacteristic
1322C2×D4—22no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4C2×D4×C3711yescharacteristic
1333C2×D4C2×D4×C3711yescharacteristic
1334C2×D4C2×D4×C3711yescharacteristic
1335C2×D4C24×C3711yescharacteristic
1336C2×D4C24×C3711yescharacteristic
1337C2×D4C24×C3711yescharacteristic
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4C2×D4×C3711yescharacteristic
1355C22×C4C2×D4×C3711yescharacteristic
1356C22×C4C24×C3711yescharacteristic
1357C22×C4C24×C3711yescharacteristic
1358C22×C4C24×C3711yescharacteristic
1359Q16—41no—
1360Q16—41no—
1361SD16—22no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365D8—22no—
1366D8—41no—
1367M16—41no—
1368M16—41no—
1369M16—41no—
1370M16—41no—
1371C2×C8—41no—
1372C2×C8—41no—
1373C2×C8C24×C3711yescharacteristic
1374C2×C8C24×C3711yescharacteristic
1375C2×C8C24×C3711yescharacteristic
1376C2×C8C24×C3711yescharacteristic
1377C2×C8C24×C3711yescharacteristic
1378C2×C8C24×C3711yescharacteristic
1379C2×C8C24×C3711yescharacteristic
1380C2×C8C24×C3711yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
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⋊C4C2×D4×C3711yescharacteristic
1420C4⋊C4C2×D4×C3711yescharacteristic
1421C4⋊C4C2×D4×C3711yescharacteristic
1422C4⋊C4C2×D4×C3711yescharacteristic
1423C4⋊C4C2×D4×C3711yescharacteristic
1424C4⋊C4C2×D4×C3711yescharacteristic
1425C4⋊C4C2×D4×C3711yescharacteristic
1426C4⋊C4C2×D4×C3711yescharacteristic
1427C4⋊C4C2×D4×C3711yescharacteristic
1428C4⋊C4C2×D4×C3711yescharacteristic
1429C4⋊C4C24×C3711yescharacteristic
1430C4⋊C4C24×C3711yescharacteristic
1431C4⋊C4C24×C3711yescharacteristic
1432C4⋊C4C24×C3711yescharacteristic
1433C4⋊C4C24×C3711yescharacteristic
1434C4⋊C4C24×C3711yescharacteristic
1435C4⋊C4C24×C3711yescharacteristic
1436C4⋊C4C24×C3711yescharacteristic
1437C4⋊C4C24×C3711yescharacteristic
1438C4⋊C4C24×C3711yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
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⋊C4C2×D4×C3711yescharacteristic
1471C22⋊C4C2×D4×C3711yescharacteristic
1472C22⋊C4C2×D4×C3711yescharacteristic
1473C22⋊C4C2×D4×C3711yescharacteristic
1474C22⋊C4C2×D4×C3711yescharacteristic
1475C22⋊C4C2×D4×C3711yescharacteristic
1476C22⋊C4C2×D4×C3711yescharacteristic
1477C22⋊C4C2×D4×C3711yescharacteristic
1478C22⋊C4C2×D4×C3711yescharacteristic
1479C22⋊C4C2×D4×C3711yescharacteristic
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42C2×D4×C3711yescharacteristic
1492C42C2×D4×C3711yescharacteristic
1493C42C24×C3711yescharacteristic
1494C42C24×C3711yescharacteristic
1495C42C24×C3711yescharacteristic
1496C42C24×C3711yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—81no—
1502C23—81no—
1503C23C22×D4×C3711yescharacteristic
1504C23C22×D4×C3711yescharacteristic
1505C23C22×D4×C3711yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—41no—
1513Q8—81no—
1514Q8—81no—
1515Q8—81no—
1516Q8—81no—
1517Q8—81no—
1518Q8—81no—
1519Q8—81no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—42no—
1529D4—42no—
1530D4—42no—
1531D4—42no—
1532D4—81no—
1533D4—81no—
1534D4—81no—
1535D4—81no—
1536D42−1+4×C3712yes—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4C22×D4×C3711yescharacteristic
1575C2×C4C22×D4×C3711yescharacteristic
1576C2×C4C22×D4×C3711yescharacteristic
1577C2×C4C22×D4×C3711yescharacteristic
1578C2×C4C22×D4×C3711yescharacteristic
1579C2×C4C22×D4×C3711yescharacteristic
1580C2×C4C22×D4×C3711yescharacteristic
1581C2×C4C22×D4×C3711yescharacteristic
1582C2×C4C22×D4×C3711yescharacteristic
1583C2×C4C22×D4×C3711yescharacteristic
1584C2×C4C22×D4×C3711yescharacteristic
1585C2×C4C25×C3711yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—22no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—162no—
1613C22C23×D4×C3711yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4C2×2−1+4×C3711yescharacteristic
1639C4C37×#58511yescharacteristic
1640C2—41no—
1641C2—41no—
1642C2—41no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2C37×#348911yescharacteristic
1647C2C37×#358511yescharacteristic
1648C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3544C2semidirect
2. C37×#3521C2semidirect
3. C37×#3389C2semidirect
4. C37×#3385C2semidirect
5. C37×#3376C2semidirect
6. C37×#3369C2semidirect
7. C37×#3353C2semidirect
8. C37×#3351C2semidirect
9. C37×#3349C2semidirect
10. C37×#3348C2semidirect
11. C37×#3345C2semidirect
12. C37×#3344C2semidirect
13. C37×#3330C2semidirect
14. C37×#3323C2semidirect
15. C37×#3319C2semidirect
16. C37×#3315C2semidirect
17. C37×#3314C2semidirect
18. C37×#3306C2semidirect
19. C37×#3262C2semidirect
20. C37×#3258C2semidirect
21. C37×#3256C2semidirect
22. C37×#3243C2semidirect
23. C37×#3242C2semidirect
24. C37×#3239C2semidirect
25. C37×#3125C2semidirect
26. C37×#3118C2semidirect
27. C37×#3111C2semidirect
28. C37×#3084C2semidirect
29. C37×#3081C2semidirect
30. C37×#3079C2semidirect
31. C37×#2995C2semidirect
34. Q82×C37C22semidirect
40. C37×#554C22semidirect
47. C37×#552C22semidirect
53. C37×#547C22semidirect
58. C37×#544C22semidirect
62. C37×#542C22semidirect
68. C2×C4⋊Q8×C37C22semidirect
72. C37×#529C22semidirect
77. C37×#501C22semidirect
78. C37×#501C22semidirect
79. C37×#501C22semidirect
80. C37×#501C22semidirect
81. C37×#500C22semidirect
82. C37×#499C22semidirect
83. C37×#491C22semidirect
88. C37×#487C22semidirect
92. C37×#485C22semidirect
93. C37×#485C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#484C22semidirect
99. C37×#483C22semidirect
102. C37×#482C22semidirect
105. C37×#481C22semidirect
107. C37×#479C22semidirect
108. C37×#479C22semidirect
109. C37×#479C22semidirect
110. C37×#479C22semidirect
111. C37×#479C22semidirect
117. C37×#478C22semidirect
118. C37×#478C22semidirect
119. C37×#477C22semidirect
120. C37×#477C22semidirect
121. C37×#477C22semidirect
126. C37×#475C22semidirect
127. C37×#475C22semidirect
128. C37×#475C22semidirect
129. C37×#475C22semidirect
130. C37×#475C22semidirect
136. C37×#474C22semidirect
138. C37×#470C22semidirect
143. C37×#468C22semidirect
144. C37×#468C22semidirect
146. C37×#467C22semidirect
151. C37×#464C22semidirect
152. C37×#464C22semidirect
157. C37×#462C22semidirect
158. C37×#461C22semidirect
165. C37×#446C22semidirect
166. C37×#446C22semidirect
170. C37×#441C22semidirect
171. C37×#441C22semidirect
174. C37×#440C22semidirect
177. C4×SD16×C37C22semidirect
180. C37×#436C22semidirect
184. C37×#435C22semidirect
186. C37×#433C22semidirect
187. C37×#432C22semidirect
189. C37×#428C22semidirect
190. C37×#428C22semidirect
191. C37×#428C22semidirect
193. C2×#106×C37C22semidirect
195. C37×#424C22semidirect
196. C37×#423C22semidirect
769. #62228C37direct (N × H)
816. #3544C2×C37semidirect
817. #3521C2×C37semidirect
818. #3389C2×C37semidirect
819. #3385C2×C37semidirect
820. #3376C2×C37semidirect
821. #3369C2×C37semidirect
822. #3353C2×C37semidirect
823. #3351C2×C37semidirect
824. #3349C2×C37semidirect
825. #3348C2×C37semidirect
826. #3345C2×C37semidirect
827. #3344C2×C37semidirect
828. #3330C2×C37semidirect
829. #3323C2×C37semidirect
830. #3319C2×C37semidirect
831. #3315C2×C37semidirect
832. #3314C2×C37semidirect
833. #3306C2×C37semidirect
834. #3262C2×C37semidirect
835. #3258C2×C37semidirect
836. #3256C2×C37semidirect
837. #3243C2×C37semidirect
838. #3242C2×C37semidirect
839. #3239C2×C37semidirect
840. #3125C2×C37semidirect
841. #3118C2×C37semidirect
842. #3111C2×C37semidirect
843. #3084C2×C37semidirect
844. #3081C2×C37semidirect
845. #3079C2×C37semidirect
846. #2995C2×C37semidirect
858. Q82C22×C37semidirect
864. #554C22×C37semidirect
871. #552C22×C37semidirect
877. #547C22×C37semidirect
882. #544C22×C37semidirect
886. #542C22×C37semidirect
892. C2×C4⋊Q8C22×C37semidirect
896. #529C22×C37semidirect
901. #501C22×C37semidirect
902. #501C22×C37semidirect
903. #501C22×C37semidirect
904. #501C22×C37semidirect
905. #500C22×C37semidirect
906. #499C22×C37semidirect
907. #491C22×C37semidirect
912. #487C22×C37semidirect
916. #485C22×C37semidirect
917. #485C22×C37semidirect
919. #484C22×C37semidirect
920. #484C22×C37semidirect
921. #484C22×C37semidirect
923. #483C22×C37semidirect
926. #482C22×C37semidirect
929. #481C22×C37semidirect
931. #479C22×C37semidirect
932. #479C22×C37semidirect
933. #479C22×C37semidirect
934. #479C22×C37semidirect
935. #479C22×C37semidirect
941. #478C22×C37semidirect
942. #478C22×C37semidirect
943. #477C22×C37semidirect
944. #477C22×C37semidirect
945. #477C22×C37semidirect
950. #475C22×C37semidirect
951. #475C22×C37semidirect
952. #475C22×C37semidirect
953. #475C22×C37semidirect
954. #475C22×C37semidirect
960. #474C22×C37semidirect
962. #470C22×C37semidirect
967. #468C22×C37semidirect
968. #468C22×C37semidirect
970. #467C22×C37semidirect
975. #464C22×C37semidirect
976. #464C22×C37semidirect
981. #462C22×C37semidirect
982. #461C22×C37semidirect
989. #446C22×C37semidirect
990. #446C22×C37semidirect
994. #441C22×C37semidirect
995. #441C22×C37semidirect
998. #440C22×C37semidirect
1001. C4×SD16C22×C37semidirect
1004. #436C22×C37semidirect
1008. #435C22×C37semidirect
1010. #433C22×C37semidirect
1011. #432C22×C37semidirect
1013. #428C22×C37semidirect
1014. #428C22×C37semidirect
1015. #428C22×C37semidirect
1017. C2×#106C22×C37semidirect
1019. #424C22×C37semidirect
1020. #423C22×C37semidirect
1027. C37#62228direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35442
C37×#35212
C37×#33892
C37×#33852
C37×#33762
C37×#33692
C37×#33532
C37×#33512
C37×#33492
C37×#33482
C37×#33452
C37×#33442
C37×#33302
C37×#33232
C37×#33192
C37×#33152
C37×#33142
C37×#33062
C37×#32622
C37×#32582
C37×#32562
C37×#32432
C37×#32422
C37×#32392
C37×#31252
C37×#31182
C37×#31112
C37×#30842
C37×#30812
C37×#30792
C37×#29952
#6222837