Finite Group Databasebeta

← #29484014

Subgroups — #29484014

Order 15104.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438085C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437112C211yesmaximal, characteristic, complemented
4#21436932C211yesmaximal, characteristic, complemented
5#21436821C211yesmaximal, characteristic, complemented
6#21436434C211yesmaximal, characteristic, complemented
7#21436297C211yesmaximal, characteristic, complemented
8#21436192C211yesmaximal, characteristic, complemented
9#21436177C211yesmaximal, characteristic, complemented
10#21436117C211yesmaximal, characteristic, complemented
11#21436102C211yesmaximal, characteristic, complemented
12#21435762C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435677C211yesmaximal, characteristic, complemented
15#21435647C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435552C211yesmaximal, characteristic, complemented
19#21435522C211yesmaximal, characteristic, complemented
20#21435452C211yesmaximal, characteristic, complemented
21#21435190C211yesmaximal, characteristic, complemented
22#21435168C211yesmaximal, characteristic, complemented
23#21435133C211yesmaximal, characteristic, complemented
24#21434352C211yesmaximal, characteristic, complemented
25#21434319C211yesmaximal, characteristic, complemented
26#21434214C211yesmaximal, characteristic, complemented
27#21433631C211yesmaximal, characteristic, complemented
28#21433613C211yesmaximal, characteristic, complemented
29#21433564C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3546C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273757C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745670C2211yescharacteristic
38#16838130C2211yescharacteristic, complemented
39#16838125C2211yescharacteristic, complemented
40#16838119—21no—
41#16838109C2211yescharacteristic, complemented
42#16838106—21no—
43#16838098C2211yescharacteristic, complemented
44#16838095—21no—
45#16838092C2211yescharacteristic
46#16838088—21no—
47D4×Dic118C2211yescharacteristic, complemented
48#16838061C2211yescharacteristic
49#16838061C2211yescharacteristic, complemented
50#16838023C2211yescharacteristic, complemented
51#16838016—21no—
52#16838014C2211yescharacteristic, complemented
53#16838011—21no—
54#16837936C2211yescharacteristic, complemented
55#16837929—21no—
56#16837929—21no—
57#16837882C2211yescharacteristic, complemented
58#16837879C2211yescharacteristic, complemented
59C2×C4×Dic118C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic
61#16837794C2211yescharacteristic, complemented
62#16837789C2211yescharacteristic
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic
65#16837774C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic
68#16837766C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic
70#16837756C2211yescharacteristic
71#16837748C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837723C2211yescharacteristic
75#16837713C2211yescharacteristic
76#16837713C2211yescharacteristic
77#16837713C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837702C2211yescharacteristic
80#16837702C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837697C2211yescharacteristic, complemented
83#16837694C2211yescharacteristic, complemented
84#16837694C2211yescharacteristic, complemented
85#16837684C2211yescharacteristic, complemented
86#16837682C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic
93#16837646C2211yescharacteristic
94#16837646C2211yescharacteristic
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837641C2211yescharacteristic, complemented
98#16837636C2211yescharacteristic
99#16837629C2211yescharacteristic
100#16837624C2211yescharacteristic, complemented
101#16837621C2211yescharacteristic
102#16837621C2211yescharacteristic
103#16837621C2211yescharacteristic
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837621C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837621C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837609C2211yescharacteristic, complemented
118#16837609C2211yescharacteristic, complemented
119#16837607C2211yescharacteristic, complemented
120#16837599C2211yescharacteristic
121#16837599C2211yescharacteristic
122#16837599C2211yescharacteristic
123#16837599C2211yescharacteristic
124#16837599C2211yescharacteristic
125#16837599C2211yescharacteristic, complemented
126#16837599C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic
138#16837553C2211yescharacteristic
139#16837553C2211yescharacteristic
140#16837547C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic
144#16837540C2211yescharacteristic
145#16837540C2211yescharacteristic
146#16837540C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837507C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic
152#16837502C2211yescharacteristic
153#16837502C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745672C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
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
175#16837403C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837398C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic
180C59×#560—21no—
181C59×#560—21no—
182C59×#556C2211yescharacteristic
183C59×#553—21no—
184C59×#550C2211yescharacteristic
185C59×#550C2211yescharacteristic
186C59×#550C2211yescharacteristic
187C59×#547C2211yescharacteristic
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#542C2211yescharacteristic
193C59×#542C2211yescharacteristic
194C59×#538—21no—
195C59×#538—21no—
196C59×#537—21no—
197C59×#535—21no—
198C59×#535C2211yescharacteristic
199C59×#535C2211yescharacteristic
200C59×#532C2211yescharacteristic
201C59×#532C2211yescharacteristic
202C59×#529C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C22×Dic118C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206#14273757—42no—
207#14273757—42no—
208#14273757—42no—
209#14273753—42no—
210#14273747—42no—
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745664C2311yescharacteristic
237C2×#11745664C2311yescharacteristic
238C2×#11745664C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273726—21no—
245#14273725—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273718—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273704—21no—
279#14273704—21no—
280#14273704—21no—
281#14273704—21no—
282#14273703—21no—
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273699—21no—
286#14273699—21no—
287#14273699—21no—
288C4×Dic118—21no—
289C4×Dic118—21no—
290C4×Dic118C2311yescharacteristic
291C4×Dic118C2311yescharacteristic
292C4×Dic118C2311yescharacteristic
293C4×Dic118C2311yescharacteristic
294C4×Dic118C2311yescharacteristic
295C4×Dic118C2311yescharacteristic
296C4×Dic118C2311yescharacteristic
297C4×Dic118C2311yescharacteristic
298#14273692—21no—
299#14273692—21no—
300#14273692—21no—
301C4×D236C2311yescharacteristic
302C4×D236C2311yescharacteristic
303D4×Dic59—21no—
304D4×Dic59—21no—
305C4×C22⋊D59—21no—
306(C22⋊D59)⋊C4—21no—
307(C22⋊D59)⋊C4—21no—
308(C22⋊D59)⋊C4—21no—
309(C22⋊D59)⋊C4—21no—
310(C22⋊D59)⋊C4—21no—
311#14273686C2311yescharacteristic
312#14273685—21no—
313#14273685—21no—
314#14273684—21no—
315#14273683—21no—
316#14273683—21no—
317#14273683—21no—
318C2×C4⋊Dic59C2311yescharacteristic
319C2×C4⋊Dic59C2311yescharacteristic
320C2×Dic59⋊C4—21no—
321C4⋊C4×D59—21no—
322C2×C4×Dic59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
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#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
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#14273648C2311yescharacteristic
368#14273648C2311yescharacteristic
369#14273648C2311yescharacteristic
370#14273648C2311yescharacteristic
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—
486#41×C59—41no—
487#41×C59—41no—
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—82no—
495#41×C59—82no—
496C2×Q8×C59—21no—
497C2×Q8×C59C2×D411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
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—41no—
519C2×D4×C59—41no—
520C2×D4×C59—41no—
521C2×D4×C59—41no—
522C2×D4×C59—82no—
523C2×D4×C59C2×D411yescharacteristic
524C2×D4×C59C2×D411yescharacteristic
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2411yescharacteristic
527C2×D4×C59C2411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C22×C4×C59—21no—
531C22×C4×C59—21no—
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×C59C2×D411yescharacteristic
539C22×C4×C59C2×D411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550#11745685—22no—
551#11745685—41no—
552C2×D236C2411yescharacteristic
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×Dic118—22no—
557C2×Dic118—22no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—41no—
562C2×Dic118—41no—
563C2×Dic118C2411yescharacteristic
564C2×Dic118C2411yescharacteristic
565C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C22⋊C4×C59C2×D411yescharacteristic
612C22⋊C4×C59C2×D411yescharacteristic
613C42×C59—21no—
614C42×C59—21no—
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C42×C59C2411yescharacteristic
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626#11745672—22no—
627#11745672—22no—
628#11745672—41no—
629#11745672—41no—
630#11745672—41no—
631#11745672—41no—
632#11745671—41no—
633#11745671—41no—
634#11745670—22no—
635#11745670—22no—
636#11745670—22no—
637#11745670—22no—
638#11745670—41no—
639#11745670—41no—
640#11745670—41no—
641#11745670—41no—
642#11745670—41no—
643#11745670—41no—
644#11745670—41no—
645#11745670—41no—
646#11745669—41no—
647#11745669—41no—
648#11745669—41no—
649#11745669—41no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694#11745664—41no—
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C23×C59C22×D411yescharacteristic
719C22×D59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—41no—
725Q8×C59—81no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—41no—
735D4×C59—41no—
736D4×C59—41no—
737D4×C59—42no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754D4×C59—81no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—41no—
766C2×C4×C59—41no—
767C2×C4×C59—42no—
768C2×C4×C59—42no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C2511yescharacteristic
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801D236—21no—
802D236—21no—
803C4×D59—42no—
804C4×D59—81no—
805C4×D59—81no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—42no—
812Dic118—42no—
813Dic118—81no—
814Dic118H(5,𝔽2)12yes—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62085—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—162no—
846C22×C59—162no—
847C22×C59C23×D411yescharacteristic
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59C2×H(5,𝔽2)11yescharacteristic
867C4×C59#58511yescharacteristic
868Dic59—22no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3546D5911yescharacteristic, complemented
876#3516—591no—
877#3402—591no—
878#3397—591no—
879#3377—591no—
880#3368—591no—
881#3333—591no—
882#3322—591no—
883#3315—591no—
884#3314—591no—
885#3310—591no—
886#3309—591no—
887#3278—591no—
888#3275—591no—
889#3271—591no—
890#3269—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3258—591no—
895#3251—591no—
896#3224—591no—
897#3222—591no—
898#3219—591no—
899#3124—591no—
900#3121—591no—
901#3112—591no—
902#3045—591no—
903#3043—591no—
904#3037—591no—
905#2995—591no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59—81no—
913C2×C59#348811yescharacteristic
914C2×C59#358511yescharacteristic
915C2×C59#358611yescharacteristic
916D59—81no—
917C2×#137—591no—
918C2×#137—591no—
919C2×#137—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#560—21no—
924#560—21no—
925#557—591no—
926#556—591no—
927#556—1181no—
928#556C2×D5911yescharacteristic
929#554—591no—
930#554—1181no—
931#553—21no—
932#553—591no—
933#553—1181no—
934#552—591no—
935#552—1181no—
936#550C2×D5911yescharacteristic
937#550C2×D5911yescharacteristic
938#550C2×D5911yescharacteristic
939D4×Q8—591no—
940#548—591no—
941#548—591no—
942#547C2×D5911yescharacteristic
943#546—21no—
944#546C2×D5911yescharacteristic
945#546C2×D5911yescharacteristic
946D42C2×D5911yescharacteristic
947#542—591no—
948#542—1181no—
949#542C2×D5911yescharacteristic
950#542C2×D5911yescharacteristic
951#541—591no—
952#541—1181no—
953#538—21no—
954#538—21no—
955#537—21no—
956#535—21no—
957#535C2×D5911yescharacteristic
958#535C2×D5911yescharacteristic
959#532C2×D5911yescharacteristic
960#532C2×D5911yescharacteristic
961#529—591no—
962#529—1181no—
963#529—1181no—
964#529C2×D5911yescharacteristic
965#520—591no—
966#519—591no—
967C2×C4×Q8—591no—
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#486—591no—
980#485—591no—
981#484—591no—
982#482—591no—
983#480—591no—
984#480—591no—
985#480—591no—
986#479—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#469—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#467—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#446—591no—
1057#446—591no—
1058#441—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×Q16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070#436—591no—
1071#436—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#433—591no—
1077#433—591no—
1078#432—591no—
1079#424—591no—
1080#424—591no—
1081#423—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#102—591no—
1088C59#6208511yescharacteristic, complemented, Sylow
1089C2×#41—21no—
1090C2×#41—21no—
1091C2×#41—591no—
1092C2×#41C22×D5911yescharacteristic
1093C2×#41C22×D5911yescharacteristic
1094C2×#41C22×D5911yescharacteristic
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×Q8—591no—
1098C22×D4—21no—
1099C22×D4C22×D5911yescharacteristic
1100C22×D4C22×D5911yescharacteristic
1101#137—2362no—
1102#137—2362no—
1103#137—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—2362no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C22×C8—591no—
1136C22×C8—591no—
1137C4⋊Q8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—1181no—
1140C4⋊Q8—1181no—
1141C4⋊Q8C22×D5911yescharacteristic
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—21no—
1144#127—21no—
1145#127C22×D5911yescharacteristic
1146#127C22×D5911yescharacteristic
1147#127C22×D5911yescharacteristic
1148#127C22×D5911yescharacteristic
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126C22⋊D5911yescharacteristic
1162#126C22⋊D5911yescharacteristic
1163#125—591no—
1164#125—591no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#125C22⋊D5911yescharacteristic
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124C22⋊D5911yescharacteristic
1181#124C22×D5911yescharacteristic
1182#124C22×D5911yescharacteristic
1183#124C22×D5911yescharacteristic
1184#124C22×D5911yescharacteristic
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123C22⋊D5911yescharacteristic
1196#123C22⋊D5911yescharacteristic
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—591no—
1201C22⋊Q8—591no—
1202C22⋊Q8—591no—
1203C22⋊Q8—591no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8C22⋊D5911yescharacteristic
1213C22⋊Q8C22×D5911yescharacteristic
1214C22⋊Q8C22×D5911yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121C22⋊D5911yescharacteristic
1239#121C22×D5911yescharacteristic
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—1181no—
1260C4×Q8—1181no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4C22×D5911yescharacteristic
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—21no—
1290#117—591no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117C22×D5911yescharacteristic
1298#117C22×D5911yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—591no—
1301C2×C4⋊C4—591no—
1302C2×C4⋊C4—1181no—
1303C2×C4⋊C4—1181no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C42—1181no—
1307C2×C42C22×D5911yescharacteristic
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#106—591no—
1315#106—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368C4×C8—591no—
1369C4×C8—591no—
1370C24—21no—
1371C24—21no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—82no—
1381#41—82no—
1382#41—1182no—
1383#41—2361no—
1384C2×Q8—21no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—1182no—
1389C2×Q8—1182no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8C2×C22⋊D5911yescharacteristic
1396C2×Q8C23×D5911yescharacteristic
1397C2×Q8C23×D5911yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—82no—
1421C2×D4—591no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4C2×C22⋊D5911yescharacteristic
1426C2×D4C2×C22⋊D5911yescharacteristic
1427C2×D4C2×C22⋊D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C2×D4C23×D5911yescharacteristic
1431C2×D4C23×D5911yescharacteristic
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4C2×C22⋊D5911yescharacteristic
1448C22×C4C2×C22⋊D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—1182no—
1453Q16—1182no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457Q16—2361no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471SD16—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479M16—2361no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—591no—
1485C2×C8—591no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—2361no—
1489C2×C8—2361no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4C2×C22⋊D5911yescharacteristic
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C2×C22⋊D5911yescharacteristic
1531C4⋊C4C2×C22⋊D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4C2×C22⋊D5911yescharacteristic
1566C22⋊C4C2×C22⋊D5911yescharacteristic
1567C22⋊C4C2×C22⋊D5911yescharacteristic
1568C22⋊C4C2×C22⋊D5911yescharacteristic
1569C22⋊C4C2×C22⋊D5911yescharacteristic
1570C22⋊C4C2×C22⋊D5911yescharacteristic
1571C22⋊C4C2×C22⋊D5911yescharacteristic
1572C22⋊C4C2×C22⋊D5911yescharacteristic
1573C22⋊C4C2×C22⋊D5911yescharacteristic
1574C22⋊C4C2×C22⋊D5911yescharacteristic
1575C42—21no—
1576C42—21no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42C2×C22⋊D5911yescharacteristic
1587C42C2×C22⋊D5911yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—1181no—
1603C23C22×C22⋊D5911yescharacteristic
1604C23C22×C22⋊D5911yescharacteristic
1605C23C22×C22⋊D5911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—41no—
1611Q8—81no—
1612Q8—592no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—4721no—
1619Q8—2362no—
1620Q8—2362no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—1181no—
1651D4—1181no—
1652D4—4721no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4C22×C22⋊D5911yescharacteristic
1690C2×C4C22×C22⋊D5911yescharacteristic
1691C2×C4C22×C22⋊D5911yescharacteristic
1692C2×C4C22×C22⋊D5911yescharacteristic
1693C2×C4C22×C22⋊D5911yescharacteristic
1694C2×C4C22×C22⋊D5911yescharacteristic
1695C2×C4C22×C22⋊D5911yescharacteristic
1696C2×C4C22×C22⋊D5911yescharacteristic
1697C2×C4C22×C22⋊D5911yescharacteristic
1698C2×C4C22×C22⋊D5911yescharacteristic
1699C2×C4C22×C22⋊D5911yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—162no—
1731C22—162no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C23×C22⋊D5911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—1182no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4H(5,𝔽2)×D5911yescharacteristic
1759C4#1683823711yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—4721no—
1768C2#2143775811yescharacteristic
1769C2#2143887611yescharacteristic
1770C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3546C2
socleC22×C59C23×D4
hypercenter#3546D59
hypocenterC59#62085
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. #21438085C2semidirect
2. #21437171C2semidirect
3. #21437112C2semidirect
4. #21436932C2semidirect
5. #21436821C2semidirect
6. #21436434C2semidirect
7. #21436297C2semidirect
8. #21436192C2semidirect
9. #21436177C2semidirect
10. #21436117C2semidirect
11. #21436102C2semidirect
12. #21435762C2semidirect
13. #21435723C2semidirect
14. #21435677C2semidirect
15. #21435647C2semidirect
16. #21435602C2semidirect
17. #21435587C2semidirect
18. #21435552C2semidirect
19. #21435522C2semidirect
20. #21435452C2semidirect
21. #21435190C2semidirect
22. #21435168C2semidirect
23. #21435133C2semidirect
24. #21434352C2semidirect
25. #21434319C2semidirect
26. #21434214C2semidirect
27. #21433631C2semidirect
28. #21433613C2semidirect
29. #21433564C2semidirect
30. #21433266C2semidirect
31. C59×#3546C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273757C22semidirect
34. C2×#14273757C22semidirect
36. C2×#14273747C22semidirect
38. #16838130C22semidirect
39. #16838125C22semidirect
41. #16838109C22semidirect
43. #16838098C22semidirect
47. D4×Dic118C22semidirect
49. #16838061C22semidirect
50. #16838023C22semidirect
52. #16838014C22semidirect
54. #16837936C22semidirect
57. #16837882C22semidirect
58. #16837879C22semidirect
59. C2×C4×Dic118C22semidirect
61. #16837794C22semidirect
63. #16837789C22semidirect
65. #16837774C22semidirect
66. #16837770C22semidirect
68. #16837766C22semidirect
71. #16837748C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
77. #16837713C22semidirect
78. #16837709C22semidirect
80. #16837702C22semidirect
81. #16837702C22semidirect
82. #16837697C22semidirect
83. #16837694C22semidirect
84. #16837694C22semidirect
85. #16837684C22semidirect
86. #16837682C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
97. #16837641C22semidirect
100. #16837624C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837621C22semidirect
107. #16837621C22semidirect
108. #16837621C22semidirect
109. #16837621C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837609C22semidirect
118. #16837609C22semidirect
119. #16837607C22semidirect
125. #16837599C22semidirect
126. #16837599C22semidirect
127. #16837599C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837562C22semidirect
136. #16837557C22semidirect
140. #16837547C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
146. #16837540C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837507C22semidirect
153. #16837502C22semidirect
154. #16837502C22semidirect
155. #16837502C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
159. C4×#11745672C22semidirect
160. C4×#11745670C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
175. #16837403C22semidirect
176. #16837403C22semidirect
177. #16837403C22semidirect
178. #16837398C22semidirect
875. #3546D59semidirect
1088. C59#62085semidirect

Maximal subgroups

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

subgroupindex
#214380852
#214371712
#214371122
#214369322
#214368212
#214364342
#214362972
#214361922
#214361772
#214361172
#214361022
#214357622
#214357232
#214356772
#214356472
#214356022
#214355872
#214355522
#214355222
#214354522
#214351902
#214351682
#214351332
#214343522
#214343192
#214342142
#214336312
#214336132
#214335642
#214332662
C59×#35462
#6208559