Finite Group Databasebeta

← #29483952

Subgroups — #29483952

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438040C211yesmaximal, characteristic, complemented
2#21437162C211yesmaximal, characteristic, complemented
3#21437138C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436799C211yesmaximal, characteristic, complemented
6#21436423C211yesmaximal, characteristic, complemented
7#21436312C211yesmaximal, characteristic, complemented
8#21436237C211yesmaximal, characteristic, complemented
9#21436222C211yesmaximal, characteristic, complemented
10#21436072C211yesmaximal, characteristic, complemented
11#21436057C211yesmaximal, characteristic, complemented
12#21435716C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435637C211yesmaximal, characteristic, complemented
15#21435622C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435561C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435452C211yesmaximal, characteristic, complemented
21#21435190C211yesmaximal, characteristic, complemented
22#21435146C211yesmaximal, characteristic, complemented
23#21435133C211yesmaximal, characteristic, complemented
24#21434367C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434183C211yesmaximal, characteristic, complemented
27#21433631C211yesmaximal, characteristic, complemented
28#21433595C211yesmaximal, characteristic, complemented
29#21433556C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3546C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838112C2211yescharacteristic, complemented
40#16838103—21no—
41#16838098C2211yescharacteristic
42#16838092C2211yescharacteristic, complemented
43#16838079—21no—
44#16838077—21no—
45#16838056C2211yescharacteristic, complemented
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838041—21no—
49D4×D236C2211yescharacteristic, complemented
50#16838023C2211yescharacteristic, complemented
51#16838007C2211yescharacteristic, complemented
52#16838000—21no—
53#16837986—21no—
54#16837936C2211yescharacteristic, complemented
55#16837910—21no—
56#123×D59—21no—
57#16837882C2211yescharacteristic, complemented
58#16837876C2211yescharacteristic, complemented
59C2×C4×D236C2211yescharacteristic, complemented
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837789C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837778C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic, complemented
68#16837766C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic, complemented
71#16837748C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837730C2211yescharacteristic, complemented
74#16837723C2211yescharacteristic, complemented
75#16837718C2211yescharacteristic, complemented
76#16837718C2211yescharacteristic, complemented
77#16837718C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837702C2211yescharacteristic, complemented
80#16837702C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837692C2211yescharacteristic, complemented
83#16837689C2211yescharacteristic, complemented
84#16837689C2211yescharacteristic, complemented
85#16837687C2211yescharacteristic, complemented
86#16837684C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic
91#16837653C2211yescharacteristic, complemented
92#16837653C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837646C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837633C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837621C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic
108#16837614C2211yescharacteristic
109#16837614C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic, complemented
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837604C2211yescharacteristic, complemented
117#16837604C2211yescharacteristic, complemented
118#16837602C2211yescharacteristic, complemented
119#16837599C2211yescharacteristic, complemented
120#16837599C2211yescharacteristic, complemented
121#16837597C2211yescharacteristic, complemented
122#16837594C2211yescharacteristic
123#16837594C2211yescharacteristic
124#16837594C2211yescharacteristic, complemented
125#16837594C2211yescharacteristic, complemented
126#16837594C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic
142#16837536C2211yescharacteristic
143#16837536C2211yescharacteristic, complemented
144#16837536C2211yescharacteristic, complemented
145#16837535C2211yescharacteristic
146#16837535C2211yescharacteristic
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837512C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837507C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837407C2211yescharacteristic, complemented
175#16837403C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837398C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic, complemented
180C59×#560—21no—
181C59×#560—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#553—21no—
184C59×#550C2211yescharacteristic
185C59×#550C2211yescharacteristic, complemented
186C59×#550C2211yescharacteristic, complemented
187C59×#547C2211yescharacteristic, complemented
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#542C2211yescharacteristic, complemented
193C59×#542C2211yescharacteristic, complemented
194C59×#538—21no—
195C59×#538—21no—
196C59×#537—21no—
197C59×#535—21no—
198C59×#535C2211yescharacteristic, complemented
199C59×#535C2211yescharacteristic, complemented
200C59×#532C2211yescharacteristic, complemented
201C59×#532C2211yescharacteristic, complemented
202C59×#529C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209#14273753—42no—
210#14273752—42no—
211#14273752—42no—
212#14273752—42no—
213#14273747—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745669—42no—
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273724C2311yescharacteristic
247#14273722—21no—
248#14273722—21no—
249#14273721—21no—
250#14273720—21no—
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273717—21no—
254#14273716—21no—
255#14273715C2311yescharacteristic
256#14273715C2311yescharacteristic
257#14273713—21no—
258#14273712—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273707—21no—
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273705—21no—
274#14273705—21no—
275#14273705—21no—
276#14273703—21no—
277#14273702—21no—
278#14273701C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273700—21no—
283#14273700—21no—
284#14273700—21no—
285#14273700—21no—
286#14273699—21no—
287#14273697—21no—
288#14273697—21no—
289#14273695—21no—
290#14273695—21no—
291C4×Dic118C2311yescharacteristic
292C4×Dic118C2311yescharacteristic
293C4×D236—21no—
294C4×D236—21no—
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301C4×D236C2311yescharacteristic
302C4×D236C2311yescharacteristic
303#14273689—21no—
304#14273689—21no—
305#14273689—21no—
306C4×C22⋊D59—21no—
307(C22⋊D59)⋊C4—21no—
308(C22⋊D59)⋊C4—21no—
309(C22⋊D59)⋊C4—21no—
310#14273686C2311yescharacteristic
311#14273685—21no—
312#14273684—21no—
313#14273683—21no—
314C2×C4⋊Dic59C2311yescharacteristic
315C2×C4⋊Dic59C2311yescharacteristic
316C4⋊C4×D59—21no—
317C4⋊C4×D59—21no—
318C2×(C2×D59)⋊C4—21no—
319C22⋊C4×D59—21no—
320C22⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59—21no—
386C2×#41×C59—21no—
387C2×#41×C59C2311yescharacteristic
388C2×#41×C59C2311yescharacteristic
389C2×#41×C59C2311yescharacteristic
390C2×#41×C59C2311yescharacteristic
391C22×D4×C59—21no—
392C22×D4×C59C2311yescharacteristic
393C22×D4×C59C2311yescharacteristic
394C4⋊Q8×C59C2311yescharacteristic
395C4⋊Q8×C59C2311yescharacteristic
396#127×C59—21no—
397#127×C59—21no—
398#127×C59C2311yescharacteristic
399#127×C59C2311yescharacteristic
400#127×C59C2311yescharacteristic
401#127×C59C2311yescharacteristic
402#126×C59—21no—
403#126×C59—21no—
404#126×C59—21no—
405#126×C59—21no—
406#126×C59D411yescharacteristic
407#126×C59D411yescharacteristic
408#125×C59D411yescharacteristic
409#124×C59—21no—
410#124×C59—21no—
411#124×C59—21no—
412#124×C59D411yescharacteristic
413#124×C59C2311yescharacteristic
414#124×C59C2311yescharacteristic
415#124×C59C2311yescharacteristic
416#124×C59C2311yescharacteristic
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423#123×C59D411yescharacteristic
424#123×C59D411yescharacteristic
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59D411yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59D411yescharacteristic
450#121×C59C2311yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454#120×C59—21no—
455#120×C59—21no—
456#120×C59—21no—
457#120×C59—21no—
458#120×C59—21no—
459#120×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477#117×C59—21no—
478#117×C59C2311yescharacteristic
479#117×C59C2311yescharacteristic
480C2×C4⋊C4×C59—21no—
481C2×C22⋊C4×C59—21no—
482C2×C22⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—82no—
497#41×C59—82no—
498C2×Q8×C59—21no—
499C2×Q8×C59C2×D411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—41no—
521C2×D4×C59—41no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—82no—
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59C2×D411yescharacteristic
541C22×C4×C59C2×D411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552#11745687—82no—
553D4×D59—82no—
554#11745685—22no—
555#11745685—41no—
556C2×D236—22no—
557C2×D236—22no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—82no—
577C2×Dic118—21no—
578C2×Dic118C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C22⋊C4×C59C2×D411yescharacteristic
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C42×C59—21no—
627C42×C59—21no—
628C42×C59C2×D411yescharacteristic
629C42×C59C2×D411yescharacteristic
630C42×C59C2411yescharacteristic
631C42×C59C2411yescharacteristic
632C42×C59C2411yescharacteristic
633C42×C59C2411yescharacteristic
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637#11745672—41no—
638#11745672—41no—
639#11745671—22no—
640#11745671—22no—
641#11745671—41no—
642#11745671—41no—
643#11745671—41no—
644#11745671—41no—
645#11745670—41no—
646#11745670—41no—
647#11745670—41no—
648#11745670—41no—
649#11745669—22no—
650#11745669—22no—
651#11745669—22no—
652#11745669—22no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658#11745669—41no—
659#11745669—41no—
660#11745669—41no—
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—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695#11745664—41no—
696#11745664—41no—
697#11745664—41no—
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8—41no—
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C23×C59C22×D411yescharacteristic
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—21no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—41no—
736Q8×C59—81no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—41no—
746D4×C59—41no—
747D4×C59—41no—
748D4×C59—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59—81no—
761D4×C59—81no—
762D4×C59—81no—
763D4×C59—81no—
764D4×C59—81no—
765D4×C59—81no—
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—21no—
776C2×C4×C59—41no—
777C2×C4×C59—41no—
778C2×C4×C59—42no—
779C2×C4×C59—42no—
780C2×C4×C59—81no—
781C2×C4×C59—81no—
782C2×C4×C59—81no—
783C2×C4×C59—81no—
784C2×C4×C59—81no—
785C2×C4×C59—81no—
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—42no—
809C2×Dic59—81no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—21no—
815D236—42no—
816D236—42no—
817D236—81no—
818D236—81no—
819D236H(5,𝔽2)12yes—
820C4×D59—42no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829Dic118—21no—
830Dic118—21no—
831Dic118—81no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835C59⋊C8—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62083—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—162no—
863C22×C59—162no—
864C22×C59C23×D411yescharacteristic
865C2×D59—22no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—84no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59C2×H(5,𝔽2)11yescharacteristic
892C4×C59#58511yescharacteristic
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546D5911yescharacteristic, complemented
899#3513—591no—
900#3401—591no—
901#3399—591no—
902#3376—591no—
903#3366—591no—
904#3332—591no—
905#3323—591no—
906#3318—591no—
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59—81no—
936C2×C59#348811yescharacteristic
937C2×C59#358511yescharacteristic
938C2×C59#358511yescharacteristic
939D59—42no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—21no—
949#560—21no—
950#559—591no—
951#556C2×D5911yescharacteristic, complemented
952#554—591no—
953#553—21no—
954#553—591no—
955#553—1181no—
956#552—591no—
957#551—1181no—
958#551—1181no—
959#550C2×D5911yescharacteristic
960#550C2×D5911yescharacteristic, complemented
961#550C2×D5911yescharacteristic, complemented
962#547—591no—
963#547C2×D5911yescharacteristic, complemented
964#546—21no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546C2×D5911yescharacteristic
969#546C2×D5911yescharacteristic, complemented
970D42—591no—
971D42C2×D5911yescharacteristic, complemented
972#542—591no—
973#542C2×D5911yescharacteristic, complemented
974#542C2×D5911yescharacteristic, complemented
975#540—591no—
976#539—1181no—
977#538—21no—
978#538—21no—
979#538—1181no—
980#537—21no—
981#535—21no—
982#535C2×D5911yescharacteristic, complemented
983#535C2×D5911yescharacteristic, complemented
984#532C2×D5911yescharacteristic, complemented
985#532C2×D5911yescharacteristic, complemented
986#529—591no—
987#529C2×D5911yescharacteristic
988#525—1181no—
989C2×#123—1181no—
990#520—591no—
991#518—591no—
992C2×C4×D4—591no—
993#497—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#491—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#483—591no—
1007#482—591no—
1008#481—591no—
1009#481—591no—
1010#481—591no—
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#478—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442—591no—
1089#441—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#417—591no—
1109#417—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—21no—
1115C2×#41—21no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C2×#41C22×D5911yescharacteristic
1120C2×#41C22×D5911yescharacteristic
1121C2×#41C22×D5911yescharacteristic
1122C22×D4—21no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4C22×D5911yescharacteristic
1127C22×D4C22×D5911yescharacteristic
1128C23×C4—1181no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—2362no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8C22×D5911yescharacteristic
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—21no—
1169#127—21no—
1170#127—591no—
1171#127C22×D5911yescharacteristic
1172#127C22×D5911yescharacteristic
1173#127C22×D5911yescharacteristic
1174#127C22×D5911yescharacteristic
1175#126—21no—
1176#126—21no—
1177#126—21no—
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126C22⋊D5911yescharacteristic
1184#126C22⋊D5911yescharacteristic
1185#125—591no—
1186#125—591no—
1187#125—1181no—
1188#125C22⋊D5911yescharacteristic
1189#124—21no—
1190#124—21no—
1191#124—21no—
1192#124—591no—
1193#124—591no—
1194#124—1181no—
1195#124—1181no—
1196#124C22⋊D5911yescharacteristic
1197#124C22×D5911yescharacteristic
1198#124C22×D5911yescharacteristic
1199#124C22×D5911yescharacteristic
1200#124C22×D5911yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123C22⋊D5911yescharacteristic
1220#123C22⋊D5911yescharacteristic
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8C22⋊D5911yescharacteristic
1232C22⋊Q8C22×D5911yescharacteristic
1233C22⋊Q8C22×D5911yescharacteristic
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121C22⋊D5911yescharacteristic
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—21no—
1268#120—21no—
1269#120—21no—
1270#120—21no—
1271#120—21no—
1272#120—21no—
1273#120—21no—
1274#120—21no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8C22×D5911yescharacteristic
1282C4×Q8C22×D5911yescharacteristic
1283C4×Q8C22×D5911yescharacteristic
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—21no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117C22×D5911yescharacteristic
1319#117C22×D5911yescharacteristic
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C22⋊C4—21no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—41no—
1400#41—41no—
1401#41—41no—
1402#41—41no—
1403#41—41no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—82no—
1408#41—82no—
1409#41—1182no—
1410#41—4722no—
1411#41—2361no—
1412C2×Q8—21no—
1413C2×Q8—591no—
1414C2×Q8—1181no—
1415C2×Q8C2×C22⋊D5911yescharacteristic
1416C2×Q8C23×D5911yescharacteristic
1417C2×Q8C23×D5911yescharacteristic
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—82no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—591no—
1444C2×D4—1182no—
1445C2×D4—1182no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4C2×C22⋊D5911yescharacteristic
1459C2×D4C2×C22⋊D5911yescharacteristic
1460C2×D4C2×C22⋊D5911yescharacteristic
1461C2×D4C23×D5911yescharacteristic
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—4722no—
1485C22×C4C2×C22⋊D5911yescharacteristic
1486C22×C4C2×C22⋊D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—2361no—
1491Q16—2361no—
1492SD16—1182no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—1182no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—591no—
1524C2×C8—591no—
1525C2×C8—591no—
1526C2×C8—2361no—
1527C2×C8—2361no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4C2×C22⋊D5911yescharacteristic
1551C4⋊C4C2×C22⋊D5911yescharacteristic
1552C4⋊C4C2×C22⋊D5911yescharacteristic
1553C4⋊C4C2×C22⋊D5911yescharacteristic
1554C4⋊C4C2×C22⋊D5911yescharacteristic
1555C4⋊C4C2×C22⋊D5911yescharacteristic
1556C4⋊C4C2×C22⋊D5911yescharacteristic
1557C4⋊C4C2×C22⋊D5911yescharacteristic
1558C4⋊C4C2×C22⋊D5911yescharacteristic
1559C4⋊C4C2×C22⋊D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4C2×C22⋊D5911yescharacteristic
1600C22⋊C4C2×C22⋊D5911yescharacteristic
1601C22⋊C4C2×C22⋊D5911yescharacteristic
1602C22⋊C4C2×C22⋊D5911yescharacteristic
1603C22⋊C4C2×C22⋊D5911yescharacteristic
1604C22⋊C4C2×C22⋊D5911yescharacteristic
1605C22⋊C4C2×C22⋊D5911yescharacteristic
1606C22⋊C4C2×C22⋊D5911yescharacteristic
1607C22⋊C4C2×C22⋊D5911yescharacteristic
1608C22⋊C4C2×C22⋊D5911yescharacteristic
1609C42—21no—
1610C42—21no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42C2×C22⋊D5911yescharacteristic
1615C42C2×C22⋊D5911yescharacteristic
1616C42C23×D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—2362no—
1637C23—2362no—
1638C23—2362no—
1639C23C22×C22⋊D5911yescharacteristic
1640C23C22×C22⋊D5911yescharacteristic
1641C23C22×C22⋊D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—41no—
1647Q8—81no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—4721no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—592no—
1681D4—1181no—
1682D4—1181no—
1683D4—1181no—
1684D4—1181no—
1685D4—1181no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4C22×C22⋊D5911yescharacteristic
1732C2×C4C22×C22⋊D5911yescharacteristic
1733C2×C4C22×C22⋊D5911yescharacteristic
1734C2×C4C22×C22⋊D5911yescharacteristic
1735C2×C4C22×C22⋊D5911yescharacteristic
1736C2×C4C22×C22⋊D5911yescharacteristic
1737C2×C4C22×C22⋊D5911yescharacteristic
1738C2×C4C22×C22⋊D5911yescharacteristic
1739C2×C4C22×C22⋊D5911yescharacteristic
1740C2×C4C22×C22⋊D5911yescharacteristic
1741C2×C4C22×C22⋊D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—1181no—
1744C8—1181no—
1745C8—1181no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—162no—
1773C22—162no—
1774C22—1182no—
1775C22—9442no—
1776C22—4724no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C23×C22⋊D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823711yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—4721no—
1816C2—4721no—
1817C2—2362no—
1818C2#2143775811yescharacteristic
1819C2#2143887511yescharacteristic
1820C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3546C2
socleC22×C59C23×D4
hypercenter#3546D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #21438040C2semidirect
2. #21437162C2semidirect
3. #21437138C2semidirect
4. #21436917C2semidirect
5. #21436799C2semidirect
6. #21436423C2semidirect
7. #21436312C2semidirect
8. #21436237C2semidirect
9. #21436222C2semidirect
10. #21436072C2semidirect
11. #21436057C2semidirect
12. #21435716C2semidirect
13. #21435703C2semidirect
14. #21435637C2semidirect
15. #21435622C2semidirect
16. #21435577C2semidirect
17. #21435572C2semidirect
18. #21435561C2semidirect
19. #21435507C2semidirect
20. #21435452C2semidirect
21. #21435190C2semidirect
22. #21435146C2semidirect
23. #21435133C2semidirect
24. #21434367C2semidirect
25. #21434274C2semidirect
26. #21434183C2semidirect
27. #21433631C2semidirect
28. #21433595C2semidirect
29. #21433556C2semidirect
30. #21433266C2semidirect
31. C59×#3546C2semidirect
33. C2×#14273752C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
38. #16838137C22semidirect
39. #16838112C22semidirect
42. #16838092C22semidirect
45. #16838056C22semidirect
47. #16838048C22semidirect
49. D4×D236C22semidirect
50. #16838023C22semidirect
51. #16838007C22semidirect
54. #16837936C22semidirect
57. #16837882C22semidirect
58. #16837876C22semidirect
59. C2×C4×D236C22semidirect
60. #16837794C22semidirect
62. #16837789C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837778C22semidirect
66. #16837770C22semidirect
67. #16837766C22semidirect
68. #16837766C22semidirect
69. #16837761C22semidirect
70. #16837756C22semidirect
71. #16837748C22semidirect
72. #16837740C22semidirect
73. #16837730C22semidirect
74. #16837723C22semidirect
75. #16837718C22semidirect
76. #16837718C22semidirect
77. #16837718C22semidirect
78. #16837709C22semidirect
79. #16837702C22semidirect
80. #16837702C22semidirect
81. #16837702C22semidirect
82. #16837692C22semidirect
83. #16837689C22semidirect
84. #16837689C22semidirect
85. #16837687C22semidirect
86. #16837684C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
91. #16837653C22semidirect
92. #16837653C22semidirect
93. #16837650C22semidirect
94. #16837646C22semidirect
95. #16837646C22semidirect
96. #16837636C22semidirect
97. #16837633C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837621C22semidirect
102. #16837621C22semidirect
103. #16837621C22semidirect
104. #16837617C22semidirect
105. #16837617C22semidirect
106. #16837617C22semidirect
109. #16837614C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
112. #16837614C22semidirect
113. #16837614C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837604C22semidirect
117. #16837604C22semidirect
118. #16837602C22semidirect
119. #16837599C22semidirect
120. #16837599C22semidirect
121. #16837597C22semidirect
124. #16837594C22semidirect
125. #16837594C22semidirect
126. #16837594C22semidirect
127. #16837594C22semidirect
128. #16837594C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837562C22semidirect
134. #16837553C22semidirect
135. #16837552C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
140. #16837547C22semidirect
143. #16837536C22semidirect
144. #16837536C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837512C22semidirect
155. #16837512C22semidirect
156. #16837507C22semidirect
157. #16837500C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745671C22semidirect
160. C4×#11745670C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837407C22semidirect
175. #16837403C22semidirect
176. #16837403C22semidirect
177. #16837403C22semidirect
178. #16837398C22semidirect
179. C2×#14273648C22semidirect
182. C59×#556C22semidirect
185. C59×#550C22semidirect
186. C59×#550C22semidirect
187. C59×#547C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#542C22semidirect
193. C59×#542C22semidirect
198. C59×#535C22semidirect
199. C59×#535C22semidirect
200. C59×#532C22semidirect
201. C59×#532C22semidirect
898. #3546D59semidirect
951. #556C2×D59semidirect
960. #550C2×D59semidirect
961. #550C2×D59semidirect
963. #547C2×D59semidirect
969. #546C2×D59semidirect
971. D42C2×D59semidirect
973. #542C2×D59semidirect
974. #542C2×D59semidirect
982. #535C2×D59semidirect
983. #535C2×D59semidirect
984. #532C2×D59semidirect
985. #532C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214380402
#214371622
#214371382
#214369172
#214367992
#214364232
#214363122
#214362372
#214362222
#214360722
#214360572
#214357162
#214357032
#214356372
#214356222
#214355772
#214355722
#214355612
#214355072
#214354522
#214351902
#214351462
#214351332
#214343672
#214342742
#214341832
#214336312
#214335952
#214335562
#214332662
C59×#35462
#6208359