Finite Group Databasebeta

← #29475972

Subgroups — #29475972

Order 15104.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438485C211yesmaximal, characteristic, complemented
2#21437883C211yesmaximal, characteristic, complemented
3#21436366C211yesmaximal, characteristic, complemented
4#21436314C211yesmaximal, characteristic, complemented
5#21436284C211yesmaximal, characteristic, complemented
6#21436254C211yesmaximal, characteristic, complemented
7#21436209C211yesmaximal, characteristic, complemented
8#21436179C211yesmaximal, characteristic, complemented
9#21435985C211yesmaximal, characteristic, complemented
10#21435933C211yesmaximal, characteristic, complemented
11#21435839C211yesmaximal, characteristic, complemented
12#21435808C211yesmaximal, characteristic, complemented
13#21435754C211yesmaximal, characteristic, complemented
14#21435732C211yesmaximal, characteristic, complemented
15#21435671C211yesmaximal, characteristic, complemented
16#21435656C211yesmaximal, characteristic, complemented
17#21435626C211yesmaximal, characteristic, complemented
18#21435611C211yesmaximal, characteristic, complemented
19#21435101C211yesmaximal, characteristic, complemented
20#21435063C211yesmaximal, characteristic, complemented
21#21434991C211yesmaximal, characteristic, complemented
22#21434980C211yesmaximal, characteristic, complemented
23#21434969C211yesmaximal, characteristic, complemented
24#21434950C211yesmaximal, characteristic, complemented
25#21434207C211yesmaximal, characteristic, complemented
26#21434168C211yesmaximal, characteristic, complemented
27#21433414C211yesmaximal, characteristic, complemented
28#21433403C211yesmaximal, characteristic, complemented
29#21433393C211yesmaximal, characteristic, complemented
30#21433375C211yesmaximal, characteristic, complemented
31C59×#2981C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic
33C2×#14273773C2211yescharacteristic
34C2×#14273760C2211yescharacteristic
35C2×#14273760C2211yescharacteristic, complemented
36C2×#14273760C2211yescharacteristic, complemented
37C2×#14273755C2211yescharacteristic
38C2×#14273749C2211yescharacteristic
39C2×#14273749C2211yescharacteristic, complemented
40C22×Dic236C2211yescharacteristic, complemented
41C22×#11745660C2211yescharacteristic
42#16838147—21no—
43#16838147—21no—
44#16838117C2211yescharacteristic, complemented
45#16838116—21no—
46#16838109C2211yescharacteristic, complemented
47#16838099—21no—
48#16838092C2211yescharacteristic, complemented
49#16838092C2211yescharacteristic, complemented
50D4×Dic118C2211yescharacteristic, complemented
51#16838061C2211yescharacteristic
52#16838061C2211yescharacteristic
53#16838061C2211yescharacteristic
54#16838061C2211yescharacteristic
55#16838061C2211yescharacteristic, complemented
56#16838061C2211yescharacteristic, complemented
57#16838057C2211yescharacteristic, complemented
58#16838048C2211yescharacteristic
59#16838048C2211yescharacteristic
60#16838048C2211yescharacteristic
61#16838048C2211yescharacteristic
62#16838041—21no—
63#16838041—21no—
64#16838041—21no—
65#16838041—21no—
66#16838029—21no—
67#16838016—21no—
68#16838016—21no—
69#16838006—21no—
70#16837980C2211yescharacteristic
71#16837980C2211yescharacteristic, complemented
72#16837977—21no—
73#16837973C2211yescharacteristic
74#16837973C2211yescharacteristic
75#16837973C2211yescharacteristic, complemented
76#16837966C2211yescharacteristic
77#16837965—21no—
78#16837959C2211yescharacteristic, complemented
79#16837951—21no—
80#16837936C2211yescharacteristic, complemented
81C2×#14273715C2211yescharacteristic
82#124×D59—21no—
83C4×#11745685C2211yescharacteristic
84#16837796C2211yescharacteristic, complemented
85#16837796C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837786C2211yescharacteristic, complemented
88#16837762C2211yescharacteristic, complemented
89#16837762C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837757C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837744C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837744C2211yescharacteristic, complemented
96#16837744C2211yescharacteristic, complemented
97#16837738C2211yescharacteristic, complemented
98#16837733C2211yescharacteristic, complemented
99#16837727C2211yescharacteristic, complemented
100#16837727C2211yescharacteristic, complemented
101#16837727C2211yescharacteristic, complemented
102#16837721C2211yescharacteristic, complemented
103#16837716C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837688C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837643C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837625C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
129#16837625C2211yescharacteristic, complemented
130#16837625C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic, complemented
132#16837618C2211yescharacteristic, complemented
133#16837618C2211yescharacteristic, complemented
134#16837613C2211yescharacteristic, complemented
135#16837608C2211yescharacteristic, complemented
136#16837566C2211yescharacteristic
137#16837566C2211yescharacteristic
138#16837566C2211yescharacteristic
139#16837566C2211yescharacteristic
140#16837566C2211yescharacteristic
141#16837566C2211yescharacteristic
142#16837566C2211yescharacteristic, complemented
143#16837566C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837566C2211yescharacteristic, complemented
147#16837560C2211yescharacteristic, complemented
148#16837560C2211yescharacteristic, complemented
149#16837560C2211yescharacteristic, complemented
150#16837560C2211yescharacteristic, complemented
151#16837560C2211yescharacteristic, complemented
152#16837560C2211yescharacteristic, complemented
153#16837560C2211yescharacteristic, complemented
154#16837560C2211yescharacteristic, complemented
155#16837555C2211yescharacteristic
156#16837555C2211yescharacteristic
157#16837555C2211yescharacteristic
158#16837555C2211yescharacteristic
159#16837555C2211yescharacteristic
160#16837555C2211yescharacteristic
161#16837549C2211yescharacteristic
162#16837549C2211yescharacteristic
163#16837549C2211yescharacteristic, complemented
164#16837549C2211yescharacteristic, complemented
165#16837549C2211yescharacteristic, complemented
166#16837543C2211yescharacteristic, complemented
167#16837543C2211yescharacteristic, complemented
168#16837543C2211yescharacteristic, complemented
169#16837543C2211yescharacteristic, complemented
170#16837538C2211yescharacteristic
171#16837538C2211yescharacteristic
172#16837515C2211yescharacteristic, complemented
173#16837510C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176C4×Dic236C2211yescharacteristic, complemented
177C4×Dic236C2211yescharacteristic, complemented
178C4×#11745660C2211yescharacteristic, complemented
179C4×#11745660C2211yescharacteristic, complemented
180#16837412C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic
182#16837404C2211yescharacteristic
183#16837404C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic
185#16837399C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic
188C59×#532C2211yescharacteristic
189C59×#436C2211yescharacteristic, complemented
190C59×#436C2211yescharacteristic, complemented
191C59×#435C2211yescharacteristic, complemented
192C59×#435C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C8×D4×C59C2211yescharacteristic, complemented
196C8×D4×C59C2211yescharacteristic, complemented
197C59×#432C2211yescharacteristic, complemented
198C59×#431C2211yescharacteristic, complemented
199C59×#408C2211yescharacteristic
200C59×#408C2211yescharacteristic
201C59×#408C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687—21no—
218C22×Dic118C2311yescharacteristic
219C22×Dic118C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C22×Dic118C2311yescharacteristic
222C22×Dic118C2311yescharacteristic
223C2×Q8×D59—21no—
224C22×D236C2311yescharacteristic
225C22×D236C2311yescharacteristic
226C22×D236C2311yescharacteristic
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230#14273760—42no—
231#14273760—42no—
232#14273760—42no—
233#14273755—42no—
234#14273749—42no—
235#14273749—42no—
236C2×Dic236—42no—
237C2×Dic236C2311yescharacteristic
238C2×Dic236C2311yescharacteristic
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×Dic236C2311yescharacteristic
244C2×Dic236C2311yescharacteristic
245C2×Dic236C2311yescharacteristic
246C2×#11745660—42no—
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745660C2311yescharacteristic
254C2×#11745660C2311yescharacteristic
255C2×#11745660C2311yescharacteristic
256C2×#11745660C2311yescharacteristic
257C2×#11745660C2311yescharacteristic
258C2×#11745660C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic
262#14273727C2311yescharacteristic
263#14273727C2311yescharacteristic
264#14273726—21no—
265#14273725—21no—
266#14273725—21no—
267#14273725—21no—
268#14273723—21no—
269#14273721—21no—
270#14273720—21no—
271#14273720—21no—
272#14273719—21no—
273#14273719C2311yescharacteristic
274#14273718—21no—
275#14273717—21no—
276#14273717—21no—
277#14273716—21no—
278#14273715—21no—
279#14273715—21no—
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273715C2311yescharacteristic
285#14273714—21no—
286#14273714—21no—
287#14273714—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273713—21no—
294#14273713—21no—
295#14273713—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273712—21no—
300#14273710—21no—
301#14273709—21no—
302#14273709—21no—
303#14273708—21no—
304#14273708—21no—
305#14273708—21no—
306#14273708—21no—
307#14273708—21no—
308#14273708—21no—
309#14273708—21no—
310#14273708—21no—
311#14273706—21no—
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273706C2311yescharacteristic
318#14273706C2311yescharacteristic
319#14273706C2311yescharacteristic
320#14273706C2311yescharacteristic
321#14273706C2311yescharacteristic
322#14273706C2311yescharacteristic
323#14273706C2311yescharacteristic
324#14273706C2311yescharacteristic
325#14273705—21no—
326#14273705—21no—
327#14273705—21no—
328#14273705—21no—
329#14273705—21no—
330#14273705—21no—
331#14273704—21no—
332#14273704—21no—
333#14273704—21no—
334#14273704—21no—
335#14273703—21no—
336#14273703—21no—
337#14273701C2311yescharacteristic
338#14273701C2311yescharacteristic
339#14273701C2311yescharacteristic
340#14273701C2311yescharacteristic
341#14273701C2311yescharacteristic
342#14273701C2311yescharacteristic
343#14273701C2311yescharacteristic
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273699—21no—
354#14273699—21no—
355#14273699—21no—
356#14273699—21no—
357#14273699—21no—
358#14273698—21no—
359#14273698—21no—
360#14273698—21no—
361#14273698—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368C4×Dic118—21no—
369C4×Dic118C2311yescharacteristic
370C4×Dic118C2311yescharacteristic
371C4×Dic118C2311yescharacteristic
372C4×Dic118C2311yescharacteristic
373C4×Dic118C2311yescharacteristic
374C4×D236C2311yescharacteristic
375C4×D236C2311yescharacteristic
376C4×D236C2311yescharacteristic
377D4×Dic59—21no—
378D4×Dic59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686—21no—
389#14273686C2311yescharacteristic
390#14273686C2311yescharacteristic
391#14273686C2311yescharacteristic
392#14273685—21no—
393#14273684—21no—
394#14273684—21no—
395#14273683—21no—
396#14273683—21no—
397C2×C4⋊Dic59C2311yescharacteristic
398C2×C4⋊Dic59C2311yescharacteristic
399C4⋊C4×D59—21no—
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404C22⋊C4×D59—21no—
405C22⋊C4×D59—21no—
406C42×D59—21no—
407#14273661C2311yescharacteristic
408#14273661C2311yescharacteristic
409#14273661C2311yescharacteristic
410#14273661C2311yescharacteristic
411#14273659C2311yescharacteristic
412#14273659C2311yescharacteristic
413#14273659C2311yescharacteristic
414#14273659C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
422#14273652C2311yescharacteristic
423#14273652C2311yescharacteristic
424#14273652C2311yescharacteristic
425#14273652C2311yescharacteristic
426#14273652C2311yescharacteristic
427#14273652C2311yescharacteristic
428#14273652C2311yescharacteristic
429#14273652C2311yescharacteristic
430#14273652C2311yescharacteristic
431#14273652C2311yescharacteristic
432#14273652C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441#14273649C2311yescharacteristic
442#14273649C2311yescharacteristic
443#14273649C2311yescharacteristic
444#14273649C2311yescharacteristic
445#14273649C2311yescharacteristic
446#14273649C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457C4⋊Q8×C59D411yescharacteristic
458#127×C59D411yescharacteristic
459#124×C59D411yescharacteristic
460#124×C59D411yescharacteristic
461#121×C59D411yescharacteristic
462#121×C59D411yescharacteristic
463#121×C59D411yescharacteristic
464#121×C59D411yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C2×C42×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487#97×C59C2311yescharacteristic
488C4×C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497C2×Q8×C59C2×D411yescharacteristic
498C2×Q8×C59C2×D411yescharacteristic
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2×D411yescharacteristic
508C2×D4×C59C2×D411yescharacteristic
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2×D411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537#11745689—44no—
538Q8×D59—44no—
539#11745687—44no—
540#11745687—44no—
541#11745687—44no—
542D4×D59—44no—
543D4×D59—44no—
544D4×D59—44no—
545#11745685—22no—
546#11745685—22no—
547#11745685—22no—
548#11745685—22no—
549#11745685—22no—
550#11745685—22no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555#11745685—41no—
556#11745685—41no—
557#11745685—41no—
558#11745685—41no—
559C2×D236—22no—
560C2×D236—22no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—41no—
565C2×D236—41no—
566C2×D236—41no—
567C2×D236—41no—
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×Dic118—22no—
583C2×Dic118—22no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118—41no—
591C2×Dic118—41no—
592C2×Dic118—41no—
593C2×Dic118—41no—
594C2×Dic118—41no—
595C2×Dic118—41no—
596C2×Dic118—41no—
597C2×Dic118—41no—
598C2×Dic118C2411yescharacteristic
599C2×Dic118C2411yescharacteristic
600C2×Dic118C2411yescharacteristic
601C2×Dic118C2411yescharacteristic
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604M16×C59—41no—
605M16×C59—41no—
606M16×C59—41no—
607M16×C59—41no—
608C2×C8×C59—41no—
609C2×C8×C59—41no—
610C2×C8×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C4⋊C4×C59C2×D411yescharacteristic
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2×D411yescharacteristic
623C4⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C22⋊C4×C59C2×D411yescharacteristic
631C22⋊C4×C59C2×D411yescharacteristic
632C42×C59C2×D411yescharacteristic
633C42×C59C2×D411yescharacteristic
634C42×C59C2411yescharacteristic
635C42×C59C2411yescharacteristic
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59—21no—
707C4×Dic59—21no—
708C4×Dic59—21no—
709C4×Dic59—21no—
710C4×Dic59—21no—
711Dic236—22no—
712Dic236—22no—
713Dic236—22no—
714Dic236—41no—
715Dic236—41no—
716Dic236—41no—
717Dic236—41no—
718Dic236—41no—
719Dic236—41no—
720D472—22no—
721D472—41no—
722D472—41no—
723#11745660—22no—
724#11745660—22no—
725#11745660—22no—
726#11745660—22no—
727#11745660—41no—
728#11745660—41no—
729#11745660—41no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745660—41no—
735C23×C59C22×D411yescharacteristic
736C23×C59C22×D411yescharacteristic
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C23×C59C22×D411yescharacteristic
740C22×D59—21no—
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753Q8×C59—41no—
754Q8×C59—41no—
755D4×C59—41no—
756D4×C59—41no—
757D4×C59—41no—
758D4×C59—41no—
759D4×C59—41no—
760D4×C59—41no—
761D4×C59—41no—
762D4×C59—41no—
763D4×C59—41no—
764D4×C59—41no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—41no—
776C2×C4×C59—41no—
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C2511yescharacteristic
787C22⋊D59—24no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—42no—
814C2×Dic59—42no—
815C2×Dic59—42no—
816C2×Dic59—81no—
817C2×Dic59—81no—
818C2×Dic59—81no—
819C2×Dic59—81no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—21no—
826D236—21no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236H(5,𝔽2)12yes—
831C4×D59—24no—
832C4×D59—42no—
833C4×D59—42no—
834C4×D59—42no—
835C4×D59—42no—
836C4×D59—42no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841Dic118—21no—
842Dic118—21no—
843Dic118—21no—
844Dic118—21no—
845Dic118—21no—
846Dic118—21no—
847Dic118—21no—
848Dic118—21no—
849Dic118—21no—
850Dic118—21no—
851Dic118—21no—
852Dic118—42no—
853Dic118—42no—
854Dic118—42no—
855Dic118—81no—
856Dic118—81no—
857Dic118—81no—
858Dic118H(5,𝔽2)12yes—
859C8×C59—21no—
860C8×C59—21no—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867#61691—591nomaximal, Sylow
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59C23×D411yescharacteristic
884C2×D59—22no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—162no—
897C2×D59—162no—
898C2×D59—162no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59C2×H(5,𝔽2)11yescharacteristic
909C4×C59C2×H(5,𝔽2)11yescharacteristic
910Dic59—22no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3547—591no—
923#3500—591no—
924#3327—591no—
925#3323—591no—
926#3321—591no—
927#3319—591no—
928#3316—591no—
929#3314—591no—
930#3300—591no—
931#3296—591no—
932#3285—591no—
933#3282—591no—
934#3277—591no—
935#3275—591no—
936#3270—591no—
937#3269—591no—
938#3267—591no—
939#3266—591no—
940#3215—591no—
941#3211—591no—
942#3202—591no—
943#3201—591no—
944#3200—591no—
945#3198—591no—
946#3111—591no—
947#3107—591no—
948#3013—591no—
949#3012—591no—
950#3011—591no—
951#3009—591no—
952#2981D5911yescharacteristic, complemented
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—41no—
957C2×C59—41no—
958C2×C59#348411yescharacteristic
959C2×C59#358411yescharacteristic
960C2×C59#358611yescharacteristic
961D59—42no—
962D59—81no—
963D59—81no—
964D59—81no—
965C2×2−1+4—591no—
966C2×H(5,𝔽2)—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137—591no—
970C2×AGL(1,ℤ/8)—591no—
971C2×#135—591no—
972C2×#135—591no—
973C22×Q16—591no—
974C22×SD16—591no—
975#562—1181no—
976#562—1181no—
977#555—591no—
978#555—1181no—
979#554—591no—
980#553—1181no—
981#552—591no—
982#552—591no—
983D4×Q8—591no—
984#548—591no—
985#548—591no—
986#548—591no—
987#548—591no—
988#548—591no—
989#548—591no—
990#547—591no—
991#546—591no—
992#546—591no—
993#546—591no—
994#546—591no—
995#546—1181no—
996#546—1181no—
997#546—1181no—
998#546—1181no—
999#544—1181no—
1000#542—1181no—
1001#542—1181no—
1002#540—1181no—
1003#537—591no—
1004#537—591no—
1005#536—591no—
1006#536—591no—
1007#536—591no—
1008#536—1181no—
1009#535—591no—
1010#535—1181no—
1011#533—591no—
1012#532—1181no—
1013#532C2×D5911yescharacteristic
1014#529—591no—
1015C2×#124—591no—
1016C2×#124—1181no—
1017C4×#41—591no—
1018#497—591no—
1019#497—591no—
1020#495—591no—
1021#495—591no—
1022#489—591no—
1023#489—591no—
1024#488—591no—
1025#488—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#485—591no—
1030#485—591no—
1031#484—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#481—591no—
1037#480—591no—
1038#479—591no—
1039#478—591no—
1040#475—591no—
1041#474—591no—
1042#470—591no—
1043#470—591no—
1044#470—591no—
1045#469—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#466—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#462—591no—
1069#461—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#450—591no—
1095#449—591no—
1096#449—591no—
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#447—591no—
1106#442—591no—
1107#441—591no—
1108#440—591no—
1109#440—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×SD16—591no—
1113C4×SD16—591no—
1114#436C2×D5911yescharacteristic, complemented
1115#436C2×D5911yescharacteristic, complemented
1116#435C2×D5911yescharacteristic, complemented
1117#435C2×D5911yescharacteristic, complemented
1118#435C2×D5911yescharacteristic, complemented
1119#435C2×D5911yescharacteristic, complemented
1120C8×D4C2×D5911yescharacteristic, complemented
1121C8×D4C2×D5911yescharacteristic, complemented
1122#432C2×D5911yescharacteristic, complemented
1123#431C2×D5911yescharacteristic, complemented
1124#419—591no—
1125#418—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130C2×#103—591no—
1131C2×#102—591no—
1132#408C2×D5911yescharacteristic
1133#408C2×D5911yescharacteristic
1134#408C2×D5911yescharacteristic, complemented
1135#408C2×D5911yescharacteristic, complemented
1136C59#6169111yescharacteristic, complemented, Sylow
11372−1+4—2362no—
11382−1+4—2362no—
1139H(5,𝔽2)—2362no—
1140H(5,𝔽2)—2362no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41—1181no—
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—591no—
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8—591no—
1158C22×Q8—591no—
1159C22×Q8—1181no—
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166#137—2362no—
1167#137—2362no—
1168#137—2362no—
1169AGL(1,ℤ/8)—2362no—
1170#135—2362no—
1171#135—2362no—
1172C2×Q16—591no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—2362no—
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×M16C22×D5911yescharacteristic
1199C2×M16C22×D5911yescharacteristic
1200C2×M16C22×D5911yescharacteristic
1201C2×M16C22×D5911yescharacteristic
1202C22×C8C22×D5911yescharacteristic
1203C22×C8C22×D5911yescharacteristic
1204C22×C8C22×D5911yescharacteristic
1205C22×C8C22×D5911yescharacteristic
1206C4⋊Q8—591no—
1207C4⋊Q8—591no—
1208C4⋊Q8—1181no—
1209C4⋊Q8—1181no—
1210C4⋊Q8—1181no—
1211C4⋊Q8—1181no—
1212C4⋊Q8D23611yescharacteristic
1213#127—1181no—
1214#127D23611yescharacteristic
1215#126—1181no—
1216#126—1181no—
1217#126—1181no—
1218#125—591no—
1219#125—1181no—
1220#125—1181no—
1221#125—1181no—
1222#125—1181no—
1223#124—591no—
1224#124—591no—
1225#124—591no—
1226#124—591no—
1227#124—591no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124D23611yescharacteristic
1243#124D23611yescharacteristic
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121D23611yescharacteristic
1311#121D23611yescharacteristic
1312#121D23611yescharacteristic
1313#121D23611yescharacteristic
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×Q8—591no—
1325C4×Q8—1181no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4C22×D5911yescharacteristic
1341C4×D4C22×D5911yescharacteristic
1342C4×D4C22×D5911yescharacteristic
1343C4×D4C22×D5911yescharacteristic
1344#117—591no—
1345#117—591no—
1346#117—591no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117—1181no—
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C42—1181no—
1363C2×C42C22×D5911yescharacteristic
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372C4⋊C8C22×D5911yescharacteristic
1373C4⋊C8C22×D5911yescharacteristic
1374C4⋊C8C22×D5911yescharacteristic
1375C4⋊C8C22×D5911yescharacteristic
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408C22⋊C8C22×D5911yescharacteristic
1409C22⋊C8C22×D5911yescharacteristic
1410C22⋊C8C22×D5911yescharacteristic
1411C22⋊C8C22×D5911yescharacteristic
1412C22⋊C8C22×D5911yescharacteristic
1413C22⋊C8C22×D5911yescharacteristic
1414C22⋊C8C22×D5911yescharacteristic
1415C22⋊C8C22×D5911yescharacteristic
1416C22⋊C8C22×D5911yescharacteristic
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419C22⋊C8C22×D5911yescharacteristic
1420#97C22×D5911yescharacteristic
1421#97C22×D5911yescharacteristic
1422C4×C8C22×D5911yescharacteristic
1423C4×C8C22×D5911yescharacteristic
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—2361no—
1438#41—2361no—
1439#41—2361no—
1440#41—2361no—
1441#41—2361no—
1442#41—2361no—
1443#41—2361no—
1444#41—2361no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2364no—
1449C2×Q8—591no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—591no—
1453C2×Q8—591no—
1454C2×Q8—591no—
1455C2×Q8—1182no—
1456C2×Q8—1182no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—1181no—
1461C2×Q8—1181no—
1462C2×Q8—1181no—
1463C2×Q8—2361no—
1464C2×Q8—2361no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2364no—
1472C2×Q8C2×D23611yescharacteristic
1473C2×Q8C2×D23611yescharacteristic
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—1182no—
1479C2×D4—1182no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—2361no—
1498C2×D4—2361no—
1499C2×D4—2361no—
1500C2×D4—2361no—
1501C2×D4—2364no—
1502C2×D4—2364no—
1503C2×D4—2364no—
1504C2×D4C2×D23611yescharacteristic
1505C2×D4C2×D23611yescharacteristic
1506C2×D4C2×D23611yescharacteristic
1507C2×D4C2×D23611yescharacteristic
1508C2×D4C2×D23611yescharacteristic
1509C2×D4C2×D23611yescharacteristic
1510C2×D4C2×D23611yescharacteristic
1511C2×D4C2×D23611yescharacteristic
1512C2×D4C2×D23611yescharacteristic
1513C2×D4C2×D23611yescharacteristic
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4C2×D23611yescharacteristic
1532C22×C4C2×D23611yescharacteristic
1533C22×C4C23×D5911yescharacteristic
1534C22×C4C23×D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538Q16—1182no—
1539Q16—1182no—
1540Q16—1182no—
1541Q16—2361no—
1542Q16—2361no—
1543Q16—2361no—
1544Q16—2361no—
1545Q16—2361no—
1546Q16—2361no—
1547SD16—1182no—
1548SD16—1182no—
1549SD16—1182no—
1550SD16—1182no—
1551SD16—2361no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—1182no—
1560D8—2361no—
1561D8—2361no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C23×D5911yescharacteristic
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C2×C8C23×D5911yescharacteristic
1576C2×C8C23×D5911yescharacteristic
1577C2×C8C23×D5911yescharacteristic
1578C4⋊C4—591no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4C2×D23611yescharacteristic
1610C4⋊C4C2×D23611yescharacteristic
1611C4⋊C4C2×D23611yescharacteristic
1612C4⋊C4C2×D23611yescharacteristic
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4C2×D23611yescharacteristic
1650C22⋊C4C2×D23611yescharacteristic
1651C22⋊C4C2×D23611yescharacteristic
1652C22⋊C4C2×D23611yescharacteristic
1653C22⋊C4C2×D23611yescharacteristic
1654C22⋊C4C2×D23611yescharacteristic
1655C22⋊C4C2×D23611yescharacteristic
1656C22⋊C4C2×D23611yescharacteristic
1657C42—1181no—
1658C42—1181no—
1659C42—1181no—
1660C42—1181no—
1661C42—1181no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42C2×D23611yescharacteristic
1666C42C2×D23611yescharacteristic
1667C42C23×D5911yescharacteristic
1668C42C23×D5911yescharacteristic
1669C23—1181no—
1670C23—1181no—
1671C23—1181no—
1672C23—1181no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—4721no—
1678C23—4721no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23C22×D23611yescharacteristic
1683C23C22×D23611yescharacteristic
1684C23C22×D23611yescharacteristic
1685C23C22×D23611yescharacteristic
1686C23C22×D23611yescharacteristic
1687Q8—41no—
1688Q8—41no—
1689Q8—592no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—1181no—
1693Q8—1181no—
1694Q8—1181no—
1695Q8—1181no—
1696Q8—1181no—
1697Q8—1181no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—4721no—
1702Q8—4721no—
1703Q8—4721no—
1704Q8—2362no—
1705Q8—2362no—
1706Q8—2362no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—592no—
1718D4—1184no—
1719D4—1181no—
1720D4—1181no—
1721D4—1181no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—1181no—
1726D4—4721no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—2362no—
1736D4—2362no—
1737D4—2362no—
1738D4—2362no—
1739D4—2362no—
1740D4—2362no—
1741D4—2362no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—1184no—
1755C2×C4—1181no—
1756C2×C4—1181no—
1757C2×C4—1181no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—4721no—
1768C2×C4—4721no—
1769C2×C4—4721no—
1770C2×C4—4721no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—2362no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4C22×D23611yescharacteristic
1784C2×C4C22×D23611yescharacteristic
1785C2×C4C22×D23611yescharacteristic
1786C2×C4C22×D23611yescharacteristic
1787C2×C4C22×D23611yescharacteristic
1788C2×C4C22×D23611yescharacteristic
1789C2×C4C22×D23611yescharacteristic
1790C2×C4C22×D23611yescharacteristic
1791C2×C4C22×D23611yescharacteristic
1792C2×C4C24×D5911yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—1182no—
1817C22—9442no—
1818C22—9442no—
1819C22—9442no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22C23×D23611yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—1182no—
1842C4—2361no—
1843C4—2361no—
1844C4—2361no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4H(5,𝔽2)×D5911yescharacteristic
1854C4H(5,𝔽2)×D5911yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—4721no—
1861C2—4721no—
1862C2—4721no—
1863C2—2362no—
1864C2#2143773211yescharacteristic
1865C2#2143887011yescharacteristic
1866C2#2143888411yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2981C2
socleC22×C59C23×D4
hypercenter#2981D59
hypocenterC59#61691
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #2981

Complements

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

NH ≅ G/Ntype
1. #21438485C2semidirect
2. #21437883C2semidirect
3. #21436366C2semidirect
4. #21436314C2semidirect
5. #21436284C2semidirect
6. #21436254C2semidirect
7. #21436209C2semidirect
8. #21436179C2semidirect
9. #21435985C2semidirect
10. #21435933C2semidirect
11. #21435839C2semidirect
12. #21435808C2semidirect
13. #21435754C2semidirect
14. #21435732C2semidirect
15. #21435671C2semidirect
16. #21435656C2semidirect
17. #21435626C2semidirect
18. #21435611C2semidirect
19. #21435101C2semidirect
20. #21435063C2semidirect
21. #21434991C2semidirect
22. #21434980C2semidirect
23. #21434969C2semidirect
24. #21434950C2semidirect
25. #21434207C2semidirect
26. #21434168C2semidirect
27. #21433414C2semidirect
28. #21433403C2semidirect
29. #21433393C2semidirect
30. #21433375C2semidirect
31. C59×#2981C2semidirect
35. C2×#14273760C22semidirect
36. C2×#14273760C22semidirect
39. C2×#14273749C22semidirect
40. C22×Dic236C22semidirect
44. #16838117C22semidirect
46. #16838109C22semidirect
48. #16838092C22semidirect
49. #16838092C22semidirect
50. D4×Dic118C22semidirect
55. #16838061C22semidirect
56. #16838061C22semidirect
57. #16838057C22semidirect
71. #16837980C22semidirect
75. #16837973C22semidirect
78. #16837959C22semidirect
80. #16837936C22semidirect
84. #16837796C22semidirect
85. #16837796C22semidirect
86. #16837786C22semidirect
87. #16837786C22semidirect
88. #16837762C22semidirect
89. #16837762C22semidirect
90. #16837757C22semidirect
91. #16837757C22semidirect
92. #16837744C22semidirect
93. #16837744C22semidirect
94. #16837744C22semidirect
95. #16837744C22semidirect
96. #16837744C22semidirect
97. #16837738C22semidirect
98. #16837733C22semidirect
99. #16837727C22semidirect
100. #16837727C22semidirect
101. #16837727C22semidirect
102. #16837721C22semidirect
103. #16837716C22semidirect
104. #16837710C22semidirect
105. #16837703C22semidirect
106. #16837688C22semidirect
107. #16837683C22semidirect
108. #16837660C22semidirect
109. #16837660C22semidirect
110. #16837660C22semidirect
111. #16837655C22semidirect
112. #16837648C22semidirect
113. #16837648C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837643C22semidirect
117. #16837643C22semidirect
118. #16837643C22semidirect
119. #16837638C22semidirect
120. #16837631C22semidirect
121. #16837631C22semidirect
122. #16837631C22semidirect
123. #16837631C22semidirect
124. #16837625C22semidirect
125. #16837625C22semidirect
126. #16837625C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
129. #16837625C22semidirect
130. #16837625C22semidirect
131. #16837618C22semidirect
132. #16837618C22semidirect
133. #16837618C22semidirect
134. #16837613C22semidirect
135. #16837608C22semidirect
142. #16837566C22semidirect
143. #16837566C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837566C22semidirect
147. #16837560C22semidirect
148. #16837560C22semidirect
149. #16837560C22semidirect
150. #16837560C22semidirect
151. #16837560C22semidirect
152. #16837560C22semidirect
153. #16837560C22semidirect
154. #16837560C22semidirect
163. #16837549C22semidirect
164. #16837549C22semidirect
165. #16837549C22semidirect
166. #16837543C22semidirect
167. #16837543C22semidirect
168. #16837543C22semidirect
169. #16837543C22semidirect
172. #16837515C22semidirect
173. #16837510C22semidirect
174. #16837504C22semidirect
175. #16837504C22semidirect
176. C4×Dic236C22semidirect
177. C4×Dic236C22semidirect
178. C4×#11745660C22semidirect
179. C4×#11745660C22semidirect
180. #16837412C22semidirect
183. #16837404C22semidirect
185. #16837399C22semidirect
186. C2×#14273652C22semidirect
189. C59×#436C22semidirect
190. C59×#436C22semidirect
191. C59×#435C22semidirect
192. C59×#435C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C8×D4×C59C22semidirect
196. C8×D4×C59C22semidirect
197. C59×#432C22semidirect
198. C59×#431C22semidirect
201. C59×#408C22semidirect
202. C59×#408C22semidirect
952. #2981D59semidirect
1114. #436C2×D59semidirect
1115. #436C2×D59semidirect
1116. #435C2×D59semidirect
1117. #435C2×D59semidirect
1118. #435C2×D59semidirect
1119. #435C2×D59semidirect
1120. C8×D4C2×D59semidirect
1121. C8×D4C2×D59semidirect
1122. #432C2×D59semidirect
1123. #431C2×D59semidirect
1134. #408C2×D59semidirect
1135. #408C2×D59semidirect
1136. C59#61691semidirect

Maximal subgroups

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

subgroupindex
#214384852
#214378832
#214363662
#214363142
#214362842
#214362542
#214362092
#214361792
#214359852
#214359332
#214358392
#214358082
#214357542
#214357322
#214356712
#214356562
#214356262
#214356112
#214351012
#214350632
#214349912
#214349802
#214349692
#214349502
#214342072
#214341682
#214334142
#214334032
#214333932
#214333752
C59×#29812
#6169159