Finite Group Databasebeta

← #29470459

Subgroups — #29470459

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437717C211yesmaximal, characteristic, complemented
2#21437703C211yesmaximal, characteristic, complemented
3#21437169C211yesmaximal, characteristic, complemented
4#21437044C211yesmaximal, characteristic, complemented
5#21436918C211yesmaximal, characteristic, complemented
6#21436869C211yesmaximal, characteristic, complemented
7#21436654C211yesmaximal, characteristic, complemented
8#21436560C211yesmaximal, characteristic, complemented
9#21436549C211yesmaximal, characteristic, complemented
10#21436345C211yesmaximal, characteristic, complemented
11#21436307C211yesmaximal, characteristic, complemented
12#21436203C211yesmaximal, characteristic, complemented
13#21436123C211yesmaximal, characteristic, complemented
14#21436059C211yesmaximal, characteristic, complemented
15#21435730C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21434701C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434171C211yesmaximal, characteristic, complemented
22#21434146C211yesmaximal, characteristic, complemented
23#21434122C211yesmaximal, characteristic, complemented
24#21434121C211yesmaximal, characteristic, complemented
25#21434117C211yesmaximal, characteristic, complemented
26#21434103C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432911C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C2×#16837487C211yesmaximal, characteristic, complemented
31C59×#3320C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838135C2211yescharacteristic
36#16838131C2211yescharacteristic, complemented
37#16838126—21no—
38#16838126C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic
40#16838107C2211yescharacteristic
41#16838097—21no—
42#16838096C2211yescharacteristic
43#16838094—21no—
44#16838094—21no—
45#16838094C2211yescharacteristic
46#16838094C2211yescharacteristic, complemented
47#16838081—21no—
48#16838077—21no—
49#16838063C2211yescharacteristic
50#16838063C2211yescharacteristic, complemented
51#16838056—21no—
52#16838056C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838036C2211yescharacteristic
57#16837957—21no—
58#16837957C2211yescharacteristic, complemented
59#16837947C2211yescharacteristic
60#16837938—21no—
61#16837938—21no—
62#16837938C2211yescharacteristic, complemented
63#16837938C2211yescharacteristic, complemented
64#16837937C2211yescharacteristic
65#16837935—21no—
66#16837933C2211yescharacteristic
67#16837912—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic
73C2×Q8×Dic59C2211yescharacteristic, complemented
74C2×Q8×Dic59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837810C2211yescharacteristic, complemented
80#16837802C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic
85#16837763C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic
94#16837726C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic
99#16837708C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic
103#16837705C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic
105#16837699C2211yescharacteristic, complemented
106#16837693C2211yescharacteristic
107#16837692C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837685C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837655C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic
115#16837651C2211yescharacteristic
116#16837650C2211yescharacteristic, complemented
117#16837641C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic
119#16837631C2211yescharacteristic, complemented
120#16837627C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic
125#16837620C2211yescharacteristic
126#16837620C2211yescharacteristic, complemented
127#16837618C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic
129#16837600C2211yescharacteristic
130#16837600C2211yescharacteristic
131#16837567C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic
133#16837558C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic
135#16837551C2211yescharacteristic
136#16837551C2211yescharacteristic
137#16837550C2211yescharacteristic
138#16837549C2211yescharacteristic
139#16837541C2211yescharacteristic, complemented
140#16837538C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837512C2211yescharacteristic, complemented
145#16837506C2211yescharacteristic, complemented
146#16837506C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic
148#16837505C2211yescharacteristic
149#16837500C2211yescharacteristic
150#16837494C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153SD16×Dic59C2211yescharacteristic, complemented
154SD16×Dic59C2211yescharacteristic, complemented
155SD16×Dic59C2211yescharacteristic, complemented
156#16837489C2211yescharacteristic, complemented
157#16837487C2211yescharacteristic
158#16837487C2211yescharacteristic
159#16837487C2211yescharacteristic
160#16837487C2211yescharacteristic
161#16837487C2211yescharacteristic
162#16837487C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic
168#16837484C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic
174#16837470C2211yescharacteristic
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179#16837443C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic
182#16837404C2211yescharacteristic
183#16837402C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273758—24no—
214#14273754—24no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745671—24no—
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233#14273727—21no—
234#14273727C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273723C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273721—21no—
245#14273720—21no—
246#14273718—21no—
247#14273718—21no—
248#14273718—21no—
249#14273718—21no—
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273716—21no—
256#14273716—21no—
257#14273716C2311yescharacteristic
258#14273716C2311yescharacteristic
259#14273715C2311yescharacteristic
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273711—21no—
266#14273711—21no—
267#14273711—21no—
268#14273711—21no—
269#14273711—21no—
270#14273711—21no—
271#14273710—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273707—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707—21no—
280#14273707C2311yescharacteristic
281#14273706—21no—
282#14273706C2311yescharacteristic
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273703—21no—
287#14273703—21no—
288#14273703C2311yescharacteristic
289#14273703C2311yescharacteristic
290#14273702C2311yescharacteristic
291#14273701—21no—
292#14273701—21no—
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273699—21no—
300#14273698—21no—
301#14273697—21no—
302#14273695—21no—
303#14273695—21no—
304#14273695—21no—
305Q8×Dic59—21no—
306Q8×Dic59—21no—
307Q8×Dic59—21no—
308Q8×Dic59—21no—
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311Q8×Dic59C2311yescharacteristic
312Q8×Dic59C2311yescharacteristic
313Q8×Dic59C2311yescharacteristic
314Q8×Dic59C2311yescharacteristic
315Q8×Dic59C2311yescharacteristic
316C4×Dic118—21no—
317C4×Dic118C2311yescharacteristic
318#14273692—21no—
319#14273692D411yescharacteristic
320#14273692C2311yescharacteristic
321#14273692C2311yescharacteristic
322C4×D236—21no—
323C4×D236—21no—
324C4×D236C2311yescharacteristic
325C4×D236C2311yescharacteristic
326D4×Dic59—21no—
327D4×Dic59D411yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4D411yescharacteristic
353(C22⋊D59)⋊C4D411yescharacteristic
354#14273685—21no—
355#14273685—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685D411yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683D411yescharacteristic
367#14273683D411yescharacteristic
368C2×C4⋊Dic59—21no—
369C2×C4⋊Dic59—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C2×C4⋊Dic59C2311yescharacteristic
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59C2311yescharacteristic
381C2×C4×Dic59C2311yescharacteristic
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×Q8×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59—21no—
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#123×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—21no—
485C2×Q8×C59—22no—
486C2×Q8×C59—22no—
487C2×Q8×C59—41no—
488C2×Q8×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2×D411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59C2×D411yescharacteristic
515C22×Dic59C2×D411yescharacteristic
516C22×Dic59C2×D411yescharacteristic
517C22×Dic59C2×D411yescharacteristic
518#11745689—22no—
519#11745689—41no—
520#11745687—42no—
521#11745687—44no—
522#11745687—82no—
523D4×D59—22no—
524D4×D59—41no—
525D4×D59—44no—
526#11745685—22no—
527#11745685—41no—
528C2×D236—22no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—41no—
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—82no—
548C2×C4×D59—82no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2411yescharacteristic
552C2×Dic118—21no—
553C2×Dic118—21no—
554C2×Dic118C2×D411yescharacteristic
555C2×Dic118C2411yescharacteristic
556SD16×C59—22no—
557SD16×C59—41no—
558SD16×C59—41no—
559M16×C59—41no—
560C2×C8×C59—41no—
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59C2×D411yescharacteristic
585C22⋊C4×C59C2×D411yescharacteristic
586C42×C59—21no—
587C42×C59—21no—
588C42×C59C2411yescharacteristic
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59C2×D411yescharacteristic
594C22⋊Dic59C2×D411yescharacteristic
595#11745672—22no—
596#11745672—22no—
597#11745672—41no—
598#11745671—22no—
599#11745671—22no—
600#11745671—22no—
601#11745671—22no—
602#11745671—41no—
603#11745671#4114yescomplemented
604#11745669—22no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2×D411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688D472—41no—
689#11745660—41no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59C22×D411yescharacteristic
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—81no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—42no—
711Q8×C59—42no—
712Q8×C59C2×#4112yes—
713D4×C59—22no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—42no—
717D4×C59—81no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—81no—
732C2×C4×C59—81no—
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C2511yescharacteristic
738C22⋊D59—22no—
739C22⋊D59—41no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C2×Dic59—22no—
748C2×Dic59—22no—
749C2×Dic59—22no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—41no—
756C2×Dic59—42no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766D236—21no—
767D236—21no—
768D236—21no—
769D236—21no—
770D236—21no—
771D236—42no—
772D236—42no—
773D236—42no—
774D236C2×#4112yes—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—22no—
778C4×D59—41no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790Dic118—21no—
791Dic118—21no—
792Dic118—41no—
793Dic118—42no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59#57512yes—
813C22×C59C23×D411yescharacteristic
814C2×D59—21no—
815C2×D59—22no—
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—84no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—22no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59C22×#4111yescharacteristic
840C4×C59#58511yescharacteristic
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—21no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57712yes—
853#3482—591no—
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320D5911yescharacteristic, complemented
865#3316—591no—
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—81no—
887C2×C59D4×#4111yescharacteristic
888C2×C59C2×#57511yescharacteristic
889C2×C59C2×#57711yescharacteristic
890D59—41no—
891D59—42no—
892D59—81no—
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559—591no—
898#557—591no—
899#556—591no—
900#556—1181no—
901#554—591no—
902#554—591no—
903#553—591no—
904#553—1181no—
905#553C2×D5911yescharacteristic
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8C2×D5911yescharacteristic, complemented
913#548—591no—
914#548—591no—
915#547—591no—
916#547—1181no—
917#546—591no—
918#546—591no—
919#546—1181no—
920D42—591no—
921#533—591no—
922#533—1181no—
923#532—591no—
924#529—591no—
925#529—591no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—1181no—
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491C2×D5911yescharacteristic, complemented
949#490—591no—
950#489—591no—
951#489—591no—
952#488—591no—
953#488—591no—
954#485—591no—
955#485C2×D5911yescharacteristic, complemented
956#484C2×D5911yescharacteristic, complemented
957#483—591no—
958#483—591no—
959#483—591no—
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479C2×D5911yescharacteristic, complemented
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468C2×D5911yescharacteristic, complemented
986#467—591no—
987#466—591no—
988#465—591no—
989#465C2×D5911yescharacteristic
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461C2×D5911yescharacteristic, complemented
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449—591no—
1010#448—591no—
1011#448C2×D5911yescharacteristic
1012#448C2×D5911yescharacteristic, complemented
1013#447—591no—
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440C2×D5911yescharacteristic, complemented
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435C2×D5911yescharacteristic, complemented
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419C2×D5911yescharacteristic, complemented
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060C2×#103C2×D5911yescharacteristic, complemented
1061C2×#102—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—591no—
1069C2×#41—1181no—
1070C2×#41—1181no—
1071C22×Q8C22×D5911yescharacteristic
1072C22×Q8C22×D5911yescharacteristic
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—1181no—
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—1184no—
1091C2×SD16C22×D5911yescharacteristic
1092C2×SD16C22×D5911yescharacteristic
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—591no—
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—21no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—1181no—
1107C4⋊Q8C22×D5911yescharacteristic
1108#127—591no—
1109#126—21no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—591no—
1120#125—591no—
1121#125—591no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125C22×D5911yescharacteristic
1129#124—591no—
1130#124—591no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124—1181no—
1137#123—21no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8C22×D5911yescharacteristic
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121C22×D5911yescharacteristic
1182#121C22×D5911yescharacteristic
1183#120—1181no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—1181no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42—1181no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107C22×D5911yescharacteristic
1279#107C22×D5911yescharacteristic
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#103C22×D5911yescharacteristic
1306#103C22×D5911yescharacteristic
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—1181no—
1345C24—1181no—
1346#41—1182no—
1347#41—1182no—
1348#41—4722no—
1349#41—2361no—
1350#41—2362no—
1351#41—2361no—
1352#41—2364no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—591no—
1360C2×Q8—591no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8C23×D5911yescharacteristic
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—1182no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2364no—
1388C2×D4D4×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—22no—
1423SD16—41no—
1424SD16—41no—
1425SD16—594no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—1182no—
1429SD16—1182no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—1182no—
1433D8—1182no—
1434D8—2361no—
1435M16—41no—
1436M16—1182no—
1437M16—1182no—
1438M16—2361no—
1439C2×C8—41no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—1182no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4D4×D5911yescharacteristic
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1532C22⋊C4D4×D5911yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—591no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—591no—
1543C42—591no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—591no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—4721no—
1561C23—4721no—
1562C23—2362no—
1563C23—2362no—
1564C23—2362no—
1565C23—2362no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—42no—
1574Q8—42no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—4721no—
1578Q8—2361no—
1579Q8—2362no—
1580Q8#41×D5912yes—
1581D4—22no—
1582D4—21no—
1583D4—21no—
1584D4—42no—
1585D4—81no—
1586D4—592no—
1587D4—1182no—
1588D4—1181no—
1589D4—1181no—
1590D4—1181no—
1591D4—1181no—
1592D4—1181no—
1593D4—4721no—
1594D4—4721no—
1595D4—2362no—
1596D4—2362no—
1597D4—2362no—
1598D4—2361no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4—2362no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—1182no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1182no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—2361no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2361no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—592no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—1181no—
1675C22—1181no—
1676C22—1181no—
1677C22—1182no—
1678C22—4724no—
1679C22—4724no—
1680C22—2361no—
1681C22—2361no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683820112yes—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—592no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—1181no—
1707C4—1181no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—81no—
1718C2—4721no—
1719C2—4721no—
1720C2—2361no—
1721C2—2362no—
1722C2#2143758011yescharacteristic
1723C2C2×#1683820111yescharacteristic
1724C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3320C2
socleC22×C59C23×D4
hypercenter#3320D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #21437717C2semidirect
2. #21437703C2semidirect
3. #21437169C2semidirect
4. #21437044C2semidirect
5. #21436918C2semidirect
6. #21436869C2semidirect
7. #21436654C2semidirect
8. #21436560C2semidirect
9. #21436549C2semidirect
10. #21436345C2semidirect
11. #21436307C2semidirect
12. #21436203C2semidirect
13. #21436123C2semidirect
14. #21436059C2semidirect
15. #21435730C2semidirect
16. #21435607C2semidirect
17. #21435584C2semidirect
18. #21434701C2semidirect
19. #21434684C2semidirect
20. #21434659C2semidirect
21. #21434171C2semidirect
22. #21434146C2semidirect
23. #21434122C2semidirect
24. #21434121C2semidirect
25. #21434117C2semidirect
26. #21434103C2semidirect
27. #21433056C2semidirect
28. #21432911C2semidirect
29. #21432901C2semidirect
30. C2×#16837487C2semidirect
31. C59×#3320C2semidirect
36. #16838131C22semidirect
38. #16838126C22semidirect
46. #16838094C22semidirect
50. #16838063C22semidirect
52. #16838056C22semidirect
58. #16837957C22semidirect
62. #16837938C22semidirect
63. #16837938C22semidirect
69. C4×#11745689C22semidirect
73. C2×Q8×Dic59C22semidirect
74. C2×Q8×Dic59C22semidirect
78. #16837812C22semidirect
79. #16837810C22semidirect
80. #16837802C22semidirect
81. #16837794C22semidirect
83. #16837783C22semidirect
85. #16837763C22semidirect
86. #16837762C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837745C22semidirect
90. #16837733C22semidirect
91. #16837731C22semidirect
92. #16837731C22semidirect
94. #16837726C22semidirect
95. #16837721C22semidirect
96. #16837720C22semidirect
97. #16837718C22semidirect
99. #16837708C22semidirect
100. #16837707C22semidirect
101. #16837707C22semidirect
103. #16837705C22semidirect
105. #16837699C22semidirect
107. #16837692C22semidirect
108. #16837685C22semidirect
109. #16837685C22semidirect
110. #16837659C22semidirect
111. #16837659C22semidirect
112. #16837655C22semidirect
113. #16837653C22semidirect
116. #16837650C22semidirect
117. #16837641C22semidirect
119. #16837631C22semidirect
120. #16837627C22semidirect
121. #16837624C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
126. #16837620C22semidirect
127. #16837618C22semidirect
131. #16837567C22semidirect
133. #16837558C22semidirect
139. #16837541C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837512C22semidirect
145. #16837506C22semidirect
146. #16837506C22semidirect
150. #16837494C22semidirect
151. #16837494C22semidirect
152. #16837494C22semidirect
153. SD16×Dic59C22semidirect
154. SD16×Dic59C22semidirect
155. SD16×Dic59C22semidirect
156. #16837489C22semidirect
162. #16837487C22semidirect
163. #16837487C22semidirect
164. #16837487C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
168. #16837484C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837445C22semidirect
179. #16837443C22semidirect
180. C2×#14273658C22semidirect
183. #16837402C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
196. C59×#461C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
603. #11745671#41semidirect
864. #3320D59semidirect
912. D4×Q8C2×D59semidirect
948. #491C2×D59semidirect
955. #485C2×D59semidirect
956. #484C2×D59semidirect
969. #479C2×D59semidirect
985. #468C2×D59semidirect
999. #461C2×D59semidirect
1012. #448C2×D59semidirect
1023. #440C2×D59semidirect
1049. #435C2×D59semidirect
1056. #419C2×D59semidirect
1060. C2×#103C2×D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377172
#214377032
#214371692
#214370442
#214369182
#214368692
#214366542
#214365602
#214365492
#214363452
#214363072
#214362032
#214361232
#214360592
#214357302
#214356072
#214355842
#214347012
#214346842
#214346592
#214341712
#214341462
#214341222
#214341212
#214341172
#214341032
#214330562
#214329112
#214329012
C2×#168374872
C59×#33202
#6144559