Finite Group Databasebeta

← #29485391

Subgroups — #29485391

Order 15104.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438437C211yesmaximal, characteristic, complemented
2#21438039C211yesmaximal, characteristic, complemented
3#21437006C211yesmaximal, characteristic, complemented
4#21436912C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436593C211yesmaximal, characteristic, complemented
7#21436580C211yesmaximal, characteristic, complemented
8#21436543C211yesmaximal, characteristic, complemented
9#21436535C211yesmaximal, characteristic, complemented
10#21436463C211yesmaximal, characteristic, complemented
11#21436442C211yesmaximal, characteristic, complemented
12#21436257C211yesmaximal, characteristic, complemented
13#21436174C211yesmaximal, characteristic, complemented
14#21436114C211yesmaximal, characteristic, complemented
15#21436062C211yesmaximal, characteristic, complemented
16#21435928C211yesmaximal, characteristic, complemented
17#21435911C211yesmaximal, characteristic, complemented
18#21435556C211yesmaximal, characteristic, complemented
19#21435511C211yesmaximal, characteristic, complemented
20#21435447C211yesmaximal, characteristic, complemented
21#21435380C211yesmaximal, characteristic, complemented
22#21435352C211yesmaximal, characteristic, complemented
23#21435318C211yesmaximal, characteristic, complemented
24#21434354C211yesmaximal, characteristic, complemented
25#21434278C211yesmaximal, characteristic, complemented
26#21434232C211yesmaximal, characteristic, complemented
27#21433948C211yesmaximal, characteristic, complemented
28#21433924C211yesmaximal, characteristic, complemented
29#474×D59C211yesmaximal, characteristic, complemented
30#21433234C211yesmaximal, characteristic, complemented
31C59×#3389C211yesmaximal, characteristic, complemented
32#16838153—21no—
33#16838153—21no—
34#16838137C2211yescharacteristic
35Q8×Dic118C2211yescharacteristic, complemented
36#16838117C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838105C2211yescharacteristic
39#16838100—21no—
40#16838090C2211yescharacteristic
41#16838090C2211yescharacteristic
42#16838090C2211yescharacteristic, complemented
43#16838086—21no—
44#16838079—21no—
45#16838079—21no—
46#16838057C2211yescharacteristic
47#16838057C2211yescharacteristic, complemented
48#16838055C2211yescharacteristic
49#16838053—21no—
50#16838047C2211yescharacteristic
51#16838047C2211yescharacteristic
52#16838043—21no—
53D4×D236C2211yescharacteristic
54#16838033—21no—
55#16838032C2211yescharacteristic, complemented
56#16838032C2211yescharacteristic, complemented
57#16838026C2211yescharacteristic
58#16838025—21no—
59#16838017C2211yescharacteristic, complemented
60#16838017C2211yescharacteristic, complemented
61#16838008C2211yescharacteristic
62#16838001—21no—
63#16837992—21no—
64#16837975—21no—
65#16837975—21no—
66C4⋊Q8×D59C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic
68#16837937C2211yescharacteristic
69#16837934C2211yescharacteristic, complemented
70#16837915—21no—
71C2×#14273712—21no—
72#16837881C2211yescharacteristic
73#16837874C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837812C2211yescharacteristic, complemented
76#16837812C2211yescharacteristic, complemented
77#16837805C2211yescharacteristic, complemented
78#16837768C2211yescharacteristic
79#16837764C2211yescharacteristic, complemented
80#16837762C2211yescharacteristic, complemented
81#16837762C2211yescharacteristic, complemented
82#16837759C2211yescharacteristic, complemented
83#16837749C2211yescharacteristic
84#16837746C2211yescharacteristic, complemented
85#16837746C2211yescharacteristic, complemented
86#16837739C2211yescharacteristic, complemented
87#16837739C2211yescharacteristic, complemented
88#16837734C2211yescharacteristic, complemented
89#16837734C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic
93#16837728C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic
97#16837717C2211yescharacteristic
98#16837717C2211yescharacteristic
99#16837717C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837714C2211yescharacteristic, complemented
102#16837712C2211yescharacteristic, complemented
103#16837706C2211yescharacteristic, complemented
104#16837706C2211yescharacteristic, complemented
105#16837706C2211yescharacteristic, complemented
106#16837705C2211yescharacteristic, complemented
107#16837701C2211yescharacteristic, complemented
108#16837700C2211yescharacteristic
109#16837699C2211yescharacteristic, complemented
110#16837698C2211yescharacteristic, complemented
111#16837696C2211yescharacteristic, complemented
112#16837696C2211yescharacteristic, complemented
113#16837694C2211yescharacteristic, complemented
114#16837692C2211yescharacteristic
115#16837691C2211yescharacteristic, complemented
116#16837691C2211yescharacteristic, complemented
117#16837683C2211yescharacteristic, complemented
118#16837683C2211yescharacteristic, complemented
119#16837682C2211yescharacteristic
120#16837682C2211yescharacteristic
121#16837681C2211yescharacteristic, complemented
122#16837681C2211yescharacteristic, complemented
123#16837680C2211yescharacteristic
124#16837680C2211yescharacteristic
125#16837679C2211yescharacteristic, complemented
126#16837654C2211yescharacteristic, complemented
127#16837649C2211yescharacteristic
128#16837649C2211yescharacteristic, complemented
129#16837647C2211yescharacteristic, complemented
130#16837644C2211yescharacteristic, complemented
131#16837644C2211yescharacteristic, complemented
132#16837637C2211yescharacteristic
133#16837637C2211yescharacteristic
134#16837637C2211yescharacteristic, complemented
135#16837632C2211yescharacteristic
136#16837632C2211yescharacteristic, complemented
137#16837630C2211yescharacteristic, complemented
138#16837625C2211yescharacteristic, complemented
139#16837625C2211yescharacteristic, complemented
140#16837623C2211yescharacteristic, complemented
141#16837617C2211yescharacteristic, complemented
142#16837617C2211yescharacteristic, complemented
143#16837616C2211yescharacteristic, complemented
144#16837616C2211yescharacteristic, complemented
145#16837615C2211yescharacteristic
146#16837603C2211yescharacteristic
147#16837597C2211yescharacteristic
148#16837565C2211yescharacteristic
149#16837554C2211yescharacteristic
150#16837554C2211yescharacteristic
151#16837544C2211yescharacteristic
152#16837534C2211yescharacteristic
153#16837534C2211yescharacteristic
154#16837533C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic
159#16837502C2211yescharacteristic
160#16837502C2211yescharacteristic, complemented
161C4×Dic236C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic
163C4×#11745669C2211yescharacteristic, complemented
164#16837475C2211yescharacteristic, complemented
165#16837475C2211yescharacteristic, complemented
166#16837472C2211yescharacteristic
167#16837472C2211yescharacteristic, complemented
168C8×D236C2211yescharacteristic
169#16837467C2211yescharacteristic, complemented
170#16837464C2211yescharacteristic, complemented
171#16837461C2211yescharacteristic, complemented
172#16837457C2211yescharacteristic, complemented
173#16837441C2211yescharacteristic, complemented
174#16837441C2211yescharacteristic, complemented
175#16837439C2211yescharacteristic, complemented
176#107×D59C2211yescharacteristic, complemented
177#107×D59C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic
183#16837400C2211yescharacteristic
184#16837395C2211yescharacteristic
185#102×D59C2211yescharacteristic
186#102×D59C2211yescharacteristic
187#102×D59C2211yescharacteristic
188C59×#554C2211yescharacteristic
189C59×#554C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#501C2211yescharacteristic, complemented
192C59×#499C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic
194C59×#478C2211yescharacteristic
195C59×#478C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#474C2211yescharacteristic
198C59×#474C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C4×D8×C59C2211yescharacteristic
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59—21no—
208C22×D236—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C2×Dic236C2311yescharacteristic
213C2×#11745660C2311yescharacteristic
214C2×#11745660C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745669C2311yescharacteristic
218C2×#11745669C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C2×C8×D59C2311yescharacteristic
222C2×C8×D59C2311yescharacteristic
223C2×C8×D59C2311yescharacteristic
224C2×C8×D59C2311yescharacteristic
225#14273727C2311yescharacteristic
226#14273727C2311yescharacteristic
227#14273727C2311yescharacteristic
228#14273726—21no—
229#14273726—21no—
230#14273726—21no—
231#14273726—21no—
232#14273726—21no—
233#14273726—21no—
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273725—21no—
237#14273724C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722D411yescharacteristic
245#14273722D411yescharacteristic
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273718—21no—
250#14273718—21no—
251#14273718—21no—
252#14273718—21no—
253#14273718D411yescharacteristic
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273717—21no—
257#14273716—21no—
258#14273716—21no—
259#14273716D411yescharacteristic
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712D411yescharacteristic
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273707—21no—
291#14273707—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706—21no—
299#14273706—21no—
300#14273706—21no—
301#14273705—21no—
302#14273705—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703—21no—
307#14273703D411yescharacteristic
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702D411yescharacteristic
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273698C2311yescharacteristic
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327Q8×Dic59—21no—
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352#14273686—21no—
353#14273686—21no—
354#14273685—21no—
355#14273685—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685C2311yescharacteristic
359#14273685C2311yescharacteristic
360#14273685C2311yescharacteristic
361#14273684C2311yescharacteristic
362#14273684C2311yescharacteristic
363#14273683—21no—
364C2×Dic59⋊C4—21no—
365C4⋊C4×D59—21no—
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C2×(C2×D59)⋊C4—21no—
373C2×(C2×D59)⋊C4—21no—
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C42×D59C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C2×D8×C59C2311yescharacteristic
436C4⋊Q8×C59C2311yescharacteristic
437C4⋊Q8×C59C2311yescharacteristic
438#125×C59C2311yescharacteristic
439#125×C59C2311yescharacteristic
440#125×C59C2311yescharacteristic
441#125×C59C2311yescharacteristic
442C22⋊Q8×C59—21no—
443C22⋊Q8×C59—21no—
444C22⋊Q8×C59—21no—
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C4×Q8×C59C2311yescharacteristic
449C4×D4×C59C2311yescharacteristic
450C4×D4×C59C2311yescharacteristic
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C2×C4⋊C4×C59—21no—
456C2×C4⋊C4×C59—21no—
457#107×C59C2311yescharacteristic
458#107×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#97×C59C2311yescharacteristic
476#97×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59C2×D411yescharacteristic
483C2×D4×C59C2411yescharacteristic
484C2×D4×C59C2411yescharacteristic
485C22×C4×C59—21no—
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C22×C4×C59—21no—
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C2×C22⋊D59—21no—
492C2×C22⋊D59—21no—
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C22×Dic59—21no—
498C22×Dic59—21no—
499#11745689—82no—
500Q8×D59—82no—
501#11745687—22no—
502#11745687—41no—
503D4×D59—22no—
504D4×D59—22no—
505D4×D59—41no—
506D4×D59—41no—
507#11745685—82no—
508#11745685—82no—
509C2×D236—21no—
510C2×D236—21no—
511C2×D236—21no—
512C2×D236—21no—
513C2×D236—21no—
514C2×D236—21no—
515C2×D236—82no—
516C2×D236C2×D411yescharacteristic
517C2×D236C2×D411yescharacteristic
518C2×D236C2×D411yescharacteristic
519C2×D236C2411yescharacteristic
520C2×D236C2411yescharacteristic
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—82no—
532C2×C4×D59C2×D411yescharacteristic
533C2×C4×D59C2×D411yescharacteristic
534C2×C4×D59C2411yescharacteristic
535C2×C4×D59C2411yescharacteristic
536C2×C4×D59C2411yescharacteristic
537C2×Dic118—21no—
538C2×Dic118—21no—
539C2×Dic118—21no—
540C2×Dic118—21no—
541C2×Dic118—21no—
542C2×Dic118C2411yescharacteristic
543C2×Dic118C2411yescharacteristic
544D8×C59—22no—
545C2×C8×C59C2411yescharacteristic
546C2×C8×C59C2411yescharacteristic
547C2×C8×C59C2411yescharacteristic
548C2×C8×C59C2411yescharacteristic
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59C2×D411yescharacteristic
560C4⋊C4×C59C2×D411yescharacteristic
561C4⋊C4×C59C2×D411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C4⋊C4×C59C2411yescharacteristic
567C4⋊C4×C59C2411yescharacteristic
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C42×C59C2411yescharacteristic
575C42×C59C2411yescharacteristic
576C42×C59C2411yescharacteristic
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579C22⋊Dic59—21no—
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583#11745670—22no—
584#11745670—41no—
585#11745669—41no—
586#11745669—41no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4C2×D411yescharacteristic
608(C2×D59)⋊C4C2×D411yescharacteristic
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611(C2×D59)⋊C4C2×D411yescharacteristic
612(C2×D59)⋊C4C2×D411yescharacteristic
613(C2×D59)⋊C4C2×D411yescharacteristic
614(C2×D59)⋊C4C2×D411yescharacteristic
615(C2×D59)⋊C4C2×D411yescharacteristic
616(C2×D59)⋊C4C2×D411yescharacteristic
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59C2×D411yescharacteristic
627C4⋊Dic59C2×D411yescharacteristic
628C4⋊Dic59C2×D411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630C4⋊Dic59C2411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632C4⋊Dic59C2411yescharacteristic
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649Dic59⋊C4C2×D411yescharacteristic
650Dic59⋊C4C2×D411yescharacteristic
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59C2×D411yescharacteristic
660C4×Dic59C2×D411yescharacteristic
661C4×Dic59C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663C2×C59⋊C8C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666Dic236—41no—
667#11745660—41no—
668#11745660—41no—
669#11745659—41no—
670#11745659—41no—
671C8×D59—41no—
672C8×D59—41no—
673C8×D59—41no—
674C8×D59—41no—
675C23×C59—21no—
676C23×C59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—42no—
680C22×D59—42no—
681C22×D59—42no—
682C22×D59—81no—
683C22×D59—81no—
684C22×D59—81no—
685C22×D59C22×D411yescharacteristic
686C22×D59C22×D411yescharacteristic
687C22×D59C22×D411yescharacteristic
688Q8×C59—41no—
689Q8×C59—81no—
690Q8×C59—81no—
691D4×C59—21no—
692D4×C59—21no—
693D4×C59—21no—
694D4×C592−1+412yes—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—42no—
702C2×C4×C59—81no—
703C2×C4×C59—81no—
704C2×C4×C59—81no—
705C2×C4×C59—81no—
706C2×C4×C59—81no—
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C22×D411yescharacteristic
710C2×C4×C59C22×D411yescharacteristic
711C2×C4×C59C22×D411yescharacteristic
712C2×C4×C59C22×D411yescharacteristic
713C2×C4×C59C2511yescharacteristic
714C22⋊D59—42no—
715C22⋊D59—42no—
716C22⋊D59—42no—
717C22⋊D59—42no—
718C22⋊D59—81no—
719C22⋊D59—81no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—42no—
727C2×Dic59—81no—
728C2×Dic59C22×D411yescharacteristic
729C2×Dic59C22×D411yescharacteristic
730C2×Dic59C22×D411yescharacteristic
731C2×Dic59C22×D411yescharacteristic
732C2×Dic59C22×D411yescharacteristic
733D236—22no—
734D236—22no—
735D236—21no—
736D236—21no—
737D236—21no—
738D236—21no—
739D236—41no—
740D236—42no—
741D236—81no—
742D236—81no—
743D236—81no—
744D236—81no—
745D236—81no—
746C4×D59—22no—
747C4×D59—21no—
748C4×D59—21no—
749C4×D59—21no—
750C4×D59—21no—
751C4×D59—21no—
752C4×D59—21no—
753C4×D59—41no—
754C4×D59—42no—
755C4×D59—42no—
756C4×D59—42no—
757C4×D59—81no—
758C4×D59—81no—
759C4×D59—81no—
760C4×D59—81no—
761C4×D59—81no—
762C4×D59—81no—
763C4×D59—81no—
764Dic118—21no—
765Dic118—21no—
766Dic118—21no—
767Dic118—21no—
768Dic118—81no—
769Dic118—81no—
770Dic118—81no—
771Dic118—81no—
772Dic118—81no—
773C8×C59—21no—
774C8×C59—21no—
775C8×C59—21no—
776C8×C59—21no—
777C59⋊C8—21no—
778C59⋊C8—21no—
779C59⋊C8—21no—
780C59⋊C8—21no—
781#62155—591nomaximal, Sylow
782C22×C59—22no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59C23×D411yescharacteristic
789C2×D59—21no—
790C2×D59—21no—
791C2×D59—21no—
792C2×D59—21no—
793C2×D59—21no—
794C2×D59—21no—
795C2×D59—21no—
796C2×D59—21no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—84no—
804C2×D59—162no—
805C2×D59#57612yes—
806C4×C59—21no—
807C4×C59—21no—
808C4×C59—21no—
809C4×C59—21no—
810C4×C59—21no—
811C4×C59—21no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59C2×2−1+411yescharacteristic
819C4×C59#58511yescharacteristic
820Dic59—21no—
821Dic59—21no—
822Dic59—21no—
823Dic59—21no—
824Dic59—21no—
825Dic59—41no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829Dic59—41no—
830Dic59—41no—
831#3544—591no—
832#3513—591no—
833#3389D5911yescharacteristic, complemented
834#3385—591no—
835#3375—591no—
836#3370—591no—
837#3347—591no—
838#3346—591no—
839#3343—591no—
840#3343—591no—
841#3336—591no—
842#3334—591no—
843#3319—591no—
844#3314—591no—
845#3310—591no—
846#3306—591no—
847#3296—591no—
848#3294—591no—
849#3262—591no—
850#3257—591no—
851#3250—591no—
852#3243—591no—
853#3241—591no—
854#3238—591no—
855#3124—591no—
856#3118—591no—
857#3114—591no—
858#3083—591no—
859#3081—591no—
860C2×#474—591no—
861#2992—591no—
862C2×C59—42no—
863C2×C59—81no—
864C2×C59#348911yescharacteristic
865C2×C59C2×#57611yescharacteristic
866C2×C59#358611yescharacteristic
867D59—22no—
868D59—41no—
869D59—41no—
870D59—81no—
871D59—81no—
872#563—1181no—
873#563—1181no—
874#559—591no—
875Q82—591no—
876#555—591no—
877#554—591no—
878#554C2×D5911yescharacteristic
879#554C2×D5911yescharacteristic, complemented
880#553—591no—
881#553—1181no—
882#552—591no—
883#552—591no—
884#552—591no—
885#552—1181no—
886#551—1181no—
887#551—1181no—
888#547—591no—
889#547—591no—
890#547—591no—
891#547—1181no—
892#546—591no—
893#546—591no—
894#546—1181no—
895D42—591no—
896#544—591no—
897#544—591no—
898#544—1181no—
899#542—591no—
900#542—591no—
901#542—591no—
902#542—1181no—
903#540—591no—
904#539—1181no—
905#538—1181no—
906#536—1181no—
907#536—1181no—
908C2×C4⋊Q8—591no—
909#529—591no—
910#529—591no—
911#529—591no—
912#525—1181no—
913C2×#123—1181no—
914#520—591no—
915#518—591no—
916C2×C4×D4—591no—
917#501—591no—
918#501—591no—
919#501C2×D5911yescharacteristic, complemented
920#501C2×D5911yescharacteristic, complemented
921#500—591no—
922#499C2×D5911yescharacteristic, complemented
923#490—591no—
924#489—591no—
925#489—591no—
926#489—591no—
927#488—591no—
928#486—591no—
929#485—591no—
930#485—591no—
931#484—591no—
932#484—591no—
933#483—591no—
934#483—591no—
935#483—591no—
936#482—591no—
937#482—591no—
938#482—591no—
939#482—591no—
940#481—591no—
941#480—591no—
942#480—591no—
943#480—591no—
944#480—591no—
945#480—591no—
946#480—591no—
947#479—591no—
948#479—591no—
949#479—591no—
950#479—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478C2×D5911yescharacteristic
956#478C2×D5911yescharacteristic
957#478C2×D5911yescharacteristic, complemented
958#478C2×D5911yescharacteristic, complemented
959#477—591no—
960#477—591no—
961#477—591no—
962#477—591no—
963#476—591no—
964#476—591no—
965#476—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474—591no—
973#474—591no—
974#474—591no—
975#474C2×D5911yescharacteristic
976#474C2×D5911yescharacteristic, complemented
977#469—591no—
978#468—591no—
979#468—591no—
980#468—591no—
981#467—591no—
982#467—591no—
983#466—591no—
984#466—591no—
985#466—591no—
986#465—591no—
987#465—591no—
988#465—591no—
989#464—591no—
990#464—591no—
991#464—591no—
992#463—591no—
993#463—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#460—591no—
998#459—591no—
999#452—591no—
1000#450—591no—
1001#450—591no—
1002#449—591no—
1003#447—591no—
1004#447—591no—
1005#446—591no—
1006#446C2×D5911yescharacteristic, complemented
1007#442—591no—
1008#442C2×D5911yescharacteristic
1009#442C2×D5911yescharacteristic
1010#440—591no—
1011#440—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015C4×Q16—591no—
1016C4×SD16—591no—
1017C4×D8—591no—
1018C4×D8C2×D5911yescharacteristic
1019#435—591no—
1020#435—591no—
1021#435—591no—
1022#435—591no—
1023C8×D4—591no—
1024C8×D4—591no—
1025#433—591no—
1026#433—591no—
1027#432—591no—
1028#428—591no—
1029#428—591no—
1030#427—591no—
1031C2×#107—591no—
1032C2×#107—591no—
1033C2×#107—591no—
1034#424—591no—
1035#424—591no—
1036C2×C4⋊C8—591no—
1037#418—591no—
1038#417—591no—
1039#416—591no—
1040C2×#102—591no—
1041C2×#102—591no—
1042C2×#102—591no—
1043C59#6215511yescharacteristic, complemented, Sylow
1044C2×#41—591no—
1045C2×#41—1181no—
1046C2×#41—1181no—
1047C2×#41—1181no—
1048C22×Q8—1181no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—1181no—
1052C23×C4—1181no—
1053C2×Q16—591no—
1054C2×SD16—591no—
1055C2×SD16—591no—
1056C2×SD16—591no—
1057C2×SD16—591no—
1058C2×D8—591no—
1059C2×D8—591no—
1060C2×D8C22×D5911yescharacteristic
1061C2×M16—591no—
1062C2×M16—591no—
1063C22×C8—591no—
1064C22×C8—591no—
1065C22×C8—591no—
1066C22×C8—591no—
1067C4⋊Q8—591no—
1068C4⋊Q8—591no—
1069C4⋊Q8—591no—
1070C4⋊Q8—591no—
1071C4⋊Q8—591no—
1072C4⋊Q8—1181no—
1073C4⋊Q8—1181no—
1074C4⋊Q8—1181no—
1075C4⋊Q8—1181no—
1076C4⋊Q8—1181no—
1077C4⋊Q8—1181no—
1078C4⋊Q8—1181no—
1079C4⋊Q8C22×D5911yescharacteristic
1080C4⋊Q8C22×D5911yescharacteristic
1081#127—591no—
1082#126—591no—
1083#126—591no—
1084#126—1181no—
1085#126—1181no—
1086#126—1181no—
1087#126—1181no—
1088#126—1181no—
1089#126—1181no—
1090#126—1181no—
1091#126—1181no—
1092#126—1181no—
1093#125—591no—
1094#125—591no—
1095#125—1181no—
1096#125—1181no—
1097#125—1181no—
1098#125—1181no—
1099#125—1181no—
1100#125—1181no—
1101#125C22×D5911yescharacteristic
1102#125C22×D5911yescharacteristic
1103#125C22×D5911yescharacteristic
1104#125C22×D5911yescharacteristic
1105#124—591no—
1106#124—591no—
1107#124—591no—
1108#124—591no—
1109#124—1181no—
1110#124—1181no—
1111#124—1181no—
1112#124—1181no—
1113#124—1181no—
1114#124—1181no—
1115#123—591no—
1116#123—591no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162#121—591no—
1163#121—591no—
1164#121—591no—
1165#121—591no—
1166#121—591no—
1167#121—591no—
1168#121—591no—
1169#121—591no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#120—1181no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—1181no—
1187C4×Q8C22×D5911yescharacteristic
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4C22×D5911yescharacteristic
1208C4×D4C22×D5911yescharacteristic
1209C4×D4C22×D5911yescharacteristic
1210C4×D4C22×D5911yescharacteristic
1211C4×D4C22×D5911yescharacteristic
1212C4×D4C22×D5911yescharacteristic
1213#117—591no—
1214#117—591no—
1215#117—591no—
1216#117—591no—
1217#117—591no—
1218#117—1181no—
1219#117—1181no—
1220#117—1181no—
1221#117—1181no—
1222#117—1181no—
1223#117—1181no—
1224#117—1181no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—591no—
1228C2×C4⋊C4—591no—
1229C2×C4⋊C4—591no—
1230C2×C4⋊C4—591no—
1231C2×C4⋊C4—591no—
1232C2×C4⋊C4—591no—
1233C2×C4⋊C4—1181no—
1234C2×C4⋊C4—1181no—
1235C2×C22⋊C4—1181no—
1236C2×C22⋊C4—1181no—
1237C2×C22⋊C4—1181no—
1238C2×C22⋊C4—1181no—
1239C2×C22⋊C4—1181no—
1240C2×C42—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107—591no—
1245#107—591no—
1246#107—591no—
1247#107—591no—
1248#107—591no—
1249#107—591no—
1250#107—591no—
1251#107—591no—
1252#107C22×D5911yescharacteristic
1253#107C22×D5911yescharacteristic
1254#107C22×D5911yescharacteristic
1255#107C22×D5911yescharacteristic
1256#107C22×D5911yescharacteristic
1257#106—591no—
1258#106—591no—
1259#106—591no—
1260#106—591no—
1261#106C22×D5911yescharacteristic
1262#106C22×D5911yescharacteristic
1263#106C22×D5911yescharacteristic
1264#106C22×D5911yescharacteristic
1265C4⋊C8—591no—
1266C4⋊C8—591no—
1267C4⋊C8—591no—
1268C4⋊C8—591no—
1269C4⋊C8—591no—
1270C4⋊C8—591no—
1271C4⋊C8—591no—
1272C4⋊C8C22×D5911yescharacteristic
1273C4⋊C8C22×D5911yescharacteristic
1274C4⋊C8C22×D5911yescharacteristic
1275#103—591no—
1276#103—591no—
1277#103—591no—
1278#103—591no—
1279#103—591no—
1280#103—591no—
1281#103—591no—
1282#103—591no—
1283#103—591no—
1284#103—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102—591no—
1295#102—591no—
1296#102—591no—
1297#102—591no—
1298#102—591no—
1299#102—591no—
1300#102—591no—
1301#102C22×D5911yescharacteristic
1302#102C22×D5911yescharacteristic
1303#102C22×D5911yescharacteristic
1304#102C22×D5911yescharacteristic
1305#102C22×D5911yescharacteristic
1306#102C22×D5911yescharacteristic
1307C22⋊C8—591no—
1308C22⋊C8—591no—
1309C22⋊C8—591no—
1310C22⋊C8—591no—
1311C22⋊C8—591no—
1312C22⋊C8—591no—
1313#97—591no—
1314#97—591no—
1315#97C22×D5911yescharacteristic
1316#97C22×D5911yescharacteristic
1317C4×C8—591no—
1318C4×C8C22×D5911yescharacteristic
1319C24—1181no—
1320C24—1181no—
1321#41—1182no—
1322#41—4722no—
1323#41—4722no—
1324#41—4722no—
1325#41—2361no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—591no—
1329C2×Q8—591no—
1330C2×Q8—1181no—
1331C2×Q8—1181no—
1332C2×Q8—1181no—
1333C2×Q8—1181no—
1334C2×Q8—1181no—
1335C2×Q8—4722no—
1336C2×Q8D4×D5911yescharacteristic
1337C2×D4—591no—
1338C2×D4—591no—
1339C2×D4—591no—
1340C2×D4—591no—
1341C2×D4—591no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—1181no—
1345C2×D4—1181no—
1346C2×D4—1181no—
1347C2×D4—1181no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1181no—
1351C2×D4—1181no—
1352C2×D4—1181no—
1353C2×D4—1181no—
1354C2×D4—1181no—
1355C2×D4—1181no—
1356C2×D4—4722no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4C23×D5911yescharacteristic
1360C2×D4C23×D5911yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—1181no—
1373C22×C4—1181no—
1374C22×C4—1181no—
1375C22×C4—1181no—
1376C22×C4—1181no—
1377C22×C4—1181no—
1378C22×C4—1181no—
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—1181no—
1384C22×C4—4722no—
1385Q16—2361no—
1386SD16—1182no—
1387SD16—2361no—
1388SD16—2361no—
1389SD16—2361no—
1390D8—22no—
1391D8—2361no—
1392D8—2361no—
1393M16—2361no—
1394M16—2361no—
1395C2×C8—591no—
1396C2×C8—591no—
1397C2×C8—591no—
1398C2×C8—591no—
1399C2×C8—2361no—
1400C2×C8—2361no—
1401C2×C8—2361no—
1402C2×C8—2361no—
1403C2×C8C23×D5911yescharacteristic
1404C2×C8C23×D5911yescharacteristic
1405C2×C8C23×D5911yescharacteristic
1406C2×C8C23×D5911yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—591no—
1418C4⋊C4—591no—
1419C4⋊C4—591no—
1420C4⋊C4—591no—
1421C4⋊C4—591no—
1422C4⋊C4—591no—
1423C4⋊C4—591no—
1424C4⋊C4—591no—
1425C4⋊C4—591no—
1426C4⋊C4—591no—
1427C4⋊C4—591no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4—1181no—
1440C4⋊C4—1181no—
1441C4⋊C4—1181no—
1442C4⋊C4—1181no—
1443C4⋊C4—1181no—
1444C4⋊C4—1181no—
1445C4⋊C4—1181no—
1446C4⋊C4—1181no—
1447C4⋊C4—1181no—
1448C4⋊C4—1181no—
1449C4⋊C4—1181no—
1450C4⋊C4—1181no—
1451C4⋊C4D4×D5911yescharacteristic
1452C4⋊C4D4×D5911yescharacteristic
1453C4⋊C4D4×D5911yescharacteristic
1454C4⋊C4C23×D5911yescharacteristic
1455C4⋊C4C23×D5911yescharacteristic
1456C4⋊C4C23×D5911yescharacteristic
1457C4⋊C4C23×D5911yescharacteristic
1458C4⋊C4C23×D5911yescharacteristic
1459C4⋊C4C23×D5911yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—591no—
1467C22⋊C4—591no—
1468C22⋊C4—591no—
1469C22⋊C4—591no—
1470C22⋊C4—591no—
1471C22⋊C4—591no—
1472C22⋊C4—591no—
1473C22⋊C4—591no—
1474C22⋊C4—591no—
1475C22⋊C4—591no—
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—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4—1181no—
1489C22⋊C4—1181no—
1490C22⋊C4—1181no—
1491C22⋊C4—1181no—
1492C22⋊C4—1181no—
1493C22⋊C4—1181no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C42—591no—
1503C42—591no—
1504C42—591no—
1505C42—1181no—
1506C42—1181no—
1507C42—1181no—
1508C42—1181no—
1509C42—1181no—
1510C42—1181no—
1511C42—1181no—
1512C42—1181no—
1513C42C23×D5911yescharacteristic
1514C42C23×D5911yescharacteristic
1515C42C23×D5911yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—591no—
1519C23—591no—
1520C23—591no—
1521C23—1181no—
1522C23—1181no—
1523C23—4721no—
1524C23—4721no—
1525C23—4721no—
1526C23—2362no—
1527C23—2362no—
1528C23—2362no—
1529Q8—41no—
1530Q8—81no—
1531Q8—81no—
1532Q8—1181no—
1533Q8—1181no—
1534Q8—1181no—
1535Q8—1181no—
1536Q8—4721no—
1537Q8—4721no—
1538Q8—4721no—
1539Q8—4721no—
1540Q8—4721no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—1182no—
1545D4—1182no—
1546D4—1181no—
1547D4—1181no—
1548D4—1181no—
1549D4—1181no—
1550D4—4721no—
1551D4—4721no—
1552D4—4721no—
1553D4—4721no—
1554D4—4721no—
1555D4—4721no—
1556D4—4721no—
1557D4—2361no—
1558D4—2362no—
1559D4—2362no—
1560D4—2362no—
1561D4—2362no—
1562D4—2362no—
1563D4#1427377512yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—591no—
1577C2×C4—591no—
1578C2×C4—591no—
1579C2×C4—591no—
1580C2×C4—591no—
1581C2×C4—1182no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—4721no—
1595C2×C4—4721no—
1596C2×C4—4721no—
1597C2×C4—4721no—
1598C2×C4—4721no—
1599C2×C4—4721no—
1600C2×C4—4721no—
1601C2×C4—4721no—
1602C2×C4—2361no—
1603C2×C4—2362no—
1604C2×C4—2362no—
1605C2×C4—2362no—
1606C2×C4—2362no—
1607C2×C4C2×D4×D5911yescharacteristic
1608C2×C4C2×D4×D5911yescharacteristic
1609C2×C4C2×D4×D5911yescharacteristic
1610C2×C4C2×D4×D5911yescharacteristic
1611C2×C4C2×D4×D5911yescharacteristic
1612C2×C4C2×D4×D5911yescharacteristic
1613C2×C4C24×D5911yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1181no—
1619C8—1181no—
1620C8—1181no—
1621C8—1181no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—592no—
1629C22—1181no—
1630C22—1181no—
1631C22—1181no—
1632C22—1181no—
1633C22—1181no—
1634C22—1181no—
1635C22—1181no—
1636C22—1181no—
1637C22—9442no—
1638C22—4724no—
1639C22—2361no—
1640C22—2361no—
1641C22—2361no—
1642C22—2361no—
1643C22—2361no—
1644C22—2361no—
1645C22C22×D4×D5911yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1181no—
1659C4—1181no—
1660C4—1181no—
1661C4—1181no—
1662C4—1181no—
1663C4—2361no—
1664C4—2361no—
1665C4—2361no—
1666C4—2361no—
1667C4—2361no—
1668C4—2361no—
1669C4C2×#1427377511yescharacteristic
1670C4#1683823911yescharacteristic
1671C2—42no—
1672C2—81no—
1673C2—1182no—
1674C2—4721no—
1675C2—4721no—
1676C2—2361no—
1677C2—2361no—
1678C2#2143777311yescharacteristic
1679C2#576×D5911yescharacteristic
1680C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3389C2
socleC22×C59C23×D4
hypercenter#3389D59
hypocenterC59#62155
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21438437C2semidirect
2. #21438039C2semidirect
3. #21437006C2semidirect
4. #21436912C2semidirect
5. #21436849C2semidirect
6. #21436593C2semidirect
7. #21436580C2semidirect
8. #21436543C2semidirect
9. #21436535C2semidirect
10. #21436463C2semidirect
11. #21436442C2semidirect
12. #21436257C2semidirect
13. #21436174C2semidirect
14. #21436114C2semidirect
15. #21436062C2semidirect
16. #21435928C2semidirect
17. #21435911C2semidirect
18. #21435556C2semidirect
19. #21435511C2semidirect
20. #21435447C2semidirect
21. #21435380C2semidirect
22. #21435352C2semidirect
23. #21435318C2semidirect
24. #21434354C2semidirect
25. #21434278C2semidirect
26. #21434232C2semidirect
27. #21433948C2semidirect
28. #21433924C2semidirect
29. #474×D59C2semidirect
30. #21433234C2semidirect
31. C59×#3389C2semidirect
35. Q8×Dic118C22semidirect
36. #16838117C22semidirect
37. #16838113C22semidirect
42. #16838090C22semidirect
47. #16838057C22semidirect
55. #16838032C22semidirect
56. #16838032C22semidirect
59. #16838017C22semidirect
60. #16838017C22semidirect
66. C4⋊Q8×D59C22semidirect
69. #16837934C22semidirect
75. #16837812C22semidirect
76. #16837812C22semidirect
77. #16837805C22semidirect
79. #16837764C22semidirect
80. #16837762C22semidirect
81. #16837762C22semidirect
82. #16837759C22semidirect
84. #16837746C22semidirect
85. #16837746C22semidirect
86. #16837739C22semidirect
87. #16837739C22semidirect
88. #16837734C22semidirect
89. #16837734C22semidirect
90. #16837734C22semidirect
91. #16837729C22semidirect
93. #16837728C22semidirect
94. #16837724C22semidirect
95. #16837722C22semidirect
99. #16837717C22semidirect
100. #16837714C22semidirect
101. #16837714C22semidirect
102. #16837712C22semidirect
103. #16837706C22semidirect
104. #16837706C22semidirect
105. #16837706C22semidirect
106. #16837705C22semidirect
107. #16837701C22semidirect
109. #16837699C22semidirect
110. #16837698C22semidirect
111. #16837696C22semidirect
112. #16837696C22semidirect
113. #16837694C22semidirect
115. #16837691C22semidirect
116. #16837691C22semidirect
117. #16837683C22semidirect
118. #16837683C22semidirect
121. #16837681C22semidirect
122. #16837681C22semidirect
125. #16837679C22semidirect
126. #16837654C22semidirect
128. #16837649C22semidirect
129. #16837647C22semidirect
130. #16837644C22semidirect
131. #16837644C22semidirect
134. #16837637C22semidirect
136. #16837632C22semidirect
137. #16837630C22semidirect
138. #16837625C22semidirect
139. #16837625C22semidirect
140. #16837623C22semidirect
141. #16837617C22semidirect
142. #16837617C22semidirect
143. #16837616C22semidirect
144. #16837616C22semidirect
154. #16837533C22semidirect
155. #16837512C22semidirect
156. #16837504C22semidirect
157. #16837504C22semidirect
160. #16837502C22semidirect
161. C4×Dic236C22semidirect
163. C4×#11745669C22semidirect
164. #16837475C22semidirect
165. #16837475C22semidirect
167. #16837472C22semidirect
169. #16837467C22semidirect
170. #16837464C22semidirect
171. #16837461C22semidirect
172. #16837457C22semidirect
173. #16837441C22semidirect
174. #16837441C22semidirect
175. #16837439C22semidirect
176. #107×D59C22semidirect
177. #107×D59C22semidirect
178. #107×D59C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
189. C59×#554C22semidirect
190. C59×#501C22semidirect
191. C59×#501C22semidirect
192. C59×#499C22semidirect
195. C59×#478C22semidirect
196. C59×#478C22semidirect
198. C59×#474C22semidirect
199. C59×#446C22semidirect
833. #3389D59semidirect
879. #554C2×D59semidirect
919. #501C2×D59semidirect
920. #501C2×D59semidirect
922. #499C2×D59semidirect
957. #478C2×D59semidirect
958. #478C2×D59semidirect
976. #474C2×D59semidirect
1006. #446C2×D59semidirect
1043. C59#62155semidirect

Maximal subgroups

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

subgroupindex
#214384372
#214380392
#214370062
#214369122
#214368492
#214365932
#214365802
#214365432
#214365352
#214364632
#214364422
#214362572
#214361742
#214361142
#214360622
#214359282
#214359112
#214355562
#214355112
#214354472
#214353802
#214353522
#214353182
#214343542
#214342782
#214342322
#214339482
#214339242
#474×D592
#214332342
C59×#33892
#6215559