Finite Group Databasebeta

← #29484177

Subgroups — #29484177

Order 15104.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438616C211yesmaximal, characteristic, complemented
2#21438114C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21437156C211yesmaximal, characteristic, complemented
5#21436910C211yesmaximal, characteristic, complemented
6#21436326C211yesmaximal, characteristic, complemented
7#21436324C211yesmaximal, characteristic, complemented
8#21436251C211yesmaximal, characteristic, complemented
9#21436249C211yesmaximal, characteristic, complemented
10#21436161C211yesmaximal, characteristic, complemented
11#21436159C211yesmaximal, characteristic, complemented
12#21435752C211yesmaximal, characteristic, complemented
13#21435748C211yesmaximal, characteristic, complemented
14#21435608C211yesmaximal, characteristic, complemented
15#21435601C211yesmaximal, characteristic, complemented
16#21435593C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435559C211yesmaximal, characteristic, complemented
19#21435556C211yesmaximal, characteristic, complemented
20#21435485C211yesmaximal, characteristic, complemented
21#21435193C211yesmaximal, characteristic, complemented
22#21435191C211yesmaximal, characteristic, complemented
23#21435100C211yesmaximal, characteristic, complemented
24#21434331C211yesmaximal, characteristic, complemented
25#21434323C211yesmaximal, characteristic, complemented
26#21434245C211yesmaximal, characteristic, complemented
27#21433615C211yesmaximal, characteristic, complemented
28#21433612C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3375C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838149—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41#16838126—21no—
42#16838126—21no—
43#16838126C2211yescharacteristic, complemented
44#16838126C2211yescharacteristic, complemented
45#16838125—21no—
46#16838125C2211yescharacteristic, complemented
47#16838118—21no—
48#16838118C2211yescharacteristic, complemented
49Q8×D236C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic
51#16838064C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838060C2211yescharacteristic
54#16838048—21no—
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838044—21no—
58D4×D236C2211yescharacteristic
59#16838037C2211yescharacteristic
60#16838026—21no—
61#16838026—21no—
62#16838026C2211yescharacteristic, complemented
63#16838026C2211yescharacteristic, complemented
64#16838024C2211yescharacteristic
65#16838017C2211yescharacteristic
66#16837988—21no—
67#16837986—21no—
68#16837985—21no—
69#16837970C2211yescharacteristic
70#16837965C2211yescharacteristic
71#16837963—21no—
72#16837957—21no—
73#16837957C2211yescharacteristic, complemented
74#16837949C2211yescharacteristic
75#16837939—21no—
76#16837939C2211yescharacteristic
77#124×D59C2211yescharacteristic
78#16837878C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837789C2211yescharacteristic
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837764C2211yescharacteristic, complemented
89#16837750C2211yescharacteristic
90#16837745C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic
93#16837729C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic
95#16837725C2211yescharacteristic, complemented
96#16837696C2211yescharacteristic, complemented
97#16837696C2211yescharacteristic, complemented
98#16837694C2211yescharacteristic, complemented
99#16837685C2211yescharacteristic, complemented
100#16837681C2211yescharacteristic, complemented
101#16837679C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837649C2211yescharacteristic
105#16837649C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic
114#16837637C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837621C2211yescharacteristic, complemented
127#16837620C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837614C2211yescharacteristic, complemented
133#16837608C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837603C2211yescharacteristic
136#16837602C2211yescharacteristic
137#16837601C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic
141#16837596C2211yescharacteristic, complemented
142#16837567C2211yescharacteristic, complemented
143#16837565C2211yescharacteristic, complemented
144#16837559C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837554C2211yescharacteristic
149#16837554C2211yescharacteristic
150#16837554C2211yescharacteristic, complemented
151#16837554C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837550C2211yescharacteristic, complemented
154#16837548C2211yescharacteristic, complemented
155#16837546C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic
157#16837539C2211yescharacteristic
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837510C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167C4×#11745672C2211yescharacteristic, complemented
168C4×#11745660C2211yescharacteristic, complemented
169C4×#11745670C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic
189Q82×C59C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#489C2211yescharacteristic, complemented
192C59×#486C2211yescharacteristic
193C59×#477C2211yescharacteristic, complemented
194C59×#474C2211yescharacteristic, complemented
195C59×#474C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#464C2211yescharacteristic, complemented
198C59×#460C2211yescharacteristic
199C59×#446C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×Q16×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273759—42no—
216#14273759—42no—
217#14273756—42no—
218#14273754—42no—
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236SD16×D59—42no—
237SD16×D59—42no—
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273727—21no—
249#14273727C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722D411yescharacteristic
262#14273722D411yescharacteristic
263#14273721—21no—
264#14273720—21no—
265#14273718—21no—
266#14273718D411yescharacteristic
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716—21no—
271#14273716—21no—
272#14273716—21no—
273#14273716—21no—
274#14273716D411yescharacteristic
275#14273716C2311yescharacteristic
276#14273715—21no—
277#14273715—21no—
278#14273715—21no—
279#14273715—21no—
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712D411yescharacteristic
296#14273712D411yescharacteristic
297#14273711—21no—
298#14273710—21no—
299#14273709—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273706—21no—
311#14273705—21no—
312#14273704—21no—
313#14273703—21no—
314#14273703—21no—
315#14273703—21no—
316#14273703—21no—
317#14273703D411yescharacteristic
318#14273703C2311yescharacteristic
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702D411yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273701—21no—
329#14273701—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273699—21no—
336#14273699—21no—
337#14273698—21no—
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59—21no—
351Q8×Dic59—21no—
352Q8×Dic59—21no—
353Q8×Dic59C2311yescharacteristic
354C4×Dic118—21no—
355C4×Dic118—21no—
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358C4×Dic118C2311yescharacteristic
359#14273692—21no—
360#14273692—21no—
361#14273692C2311yescharacteristic
362#14273692C2311yescharacteristic
363C4×D236—21no—
364C4×D236—21no—
365C4×D236—21no—
366C4×D236—21no—
367C4×D236—21no—
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374#14273689—21no—
375#14273689—21no—
376#14273689C2311yescharacteristic
377C4×C22⋊D59—21no—
378(C22⋊D59)⋊C4—21no—
379#14273685—21no—
380#14273685—21no—
381#14273685—21no—
382#14273685—21no—
383#14273685—21no—
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273684—21no—
389#14273684—21no—
390#14273684C2311yescharacteristic
391#14273684C2311yescharacteristic
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C42×D59—21no—
397C42×D59C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C4⋊Q8×C59—21no—
445C4⋊Q8×C59—21no—
446C4⋊Q8×C59—21no—
447C4⋊Q8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449C4⋊Q8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#124×C59—21no—
452#124×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456C4×Q8×C59—21no—
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C22×Dic59—21no—
508#11745689—22no—
509#11745689—41no—
510#11745689—41no—
511#11745689—41no—
512Q8×D59—22no—
513Q8×D59—22no—
514Q8×D59—41no—
515Q8×D59—41no—
516Q8×D59—41no—
517Q8×D59—41no—
518#11745687—41no—
519#11745687—41no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527#11745685—82no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—82no—
537C2×D236C2×D411yescharacteristic
538C2×D236C2×D411yescharacteristic
539C2×D236C2×D411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—22no—
565SD16×C59—22no—
566SD16×C59—22no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
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—
591C42×C59—21no—
592C42×C59—21no—
593C42×C59—21no—
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C42×C59C2411yescharacteristic
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602#11745672—22no—
603#11745672—41no—
604#11745672—41no—
605#11745671—22no—
606#11745671—22no—
607#11745671—41no—
608#11745670—41no—
609#11745670—41no—
610#11745670—41no—
611#11745670—41no—
612#11745669—41no—
613#11745669—41no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊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⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691Dic236—41no—
692Dic236—41no—
693D472—41no—
694D472—41no—
695#11745660—41no—
696#11745660—41no—
697#11745660—41no—
698#11745660—41no—
699#11745660—41no—
700#11745659—41no—
701#11745659—41no—
702#11745659—41no—
703#11745659—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—41no—
727Q8×C59—81no—
728Q8×C59—81no—
729Q8×C59—81no—
730Q8×C59H(5,𝔽2)12yes—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—81no—
736D4×C59—81no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—42no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—81no—
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771D236—21no—
772D236—21no—
773D236—21no—
774D236—21no—
775D236—21no—
776D236—21no—
777D236—41no—
778D236—41no—
779D236—41no—
780D236—42no—
781D236—42no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236—81no—
786D236—81no—
787D236—81no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—41no—
795C4×D59—41no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—42no—
812Dic118—42no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62092—591nomaximal, Sylow
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59C23×D411yescharacteristic
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—21no—
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—22no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59C2×H(5,𝔽2)11yescharacteristic
865C4×C59#58511yescharacteristic
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3518—591no—
878#3401—591no—
879#3401—591no—
880#3375—591no—
881#3375D5911yescharacteristic, complemented
882#3324—591no—
883#3324—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3277—591no—
889#3277—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3224—591no—
898#3224—591no—
899#3215—591no—
900#3121—591no—
901#3121—591no—
902#3115—591no—
903#3043—591no—
904#3043—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—81no—
908C2×C59—81no—
909C2×C59#348811yescharacteristic
910C2×C59#358511yescharacteristic
911C2×C59#358611yescharacteristic
912D59—41no—
913D59—41no—
914D59—41no—
915D59—81no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×#137—591no—
920C2×#137—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559C2×D5911yescharacteristic
928Q82C2×D5911yescharacteristic, complemented
929#556—591no—
930#556—591no—
931#556—591no—
932#556—1181no—
933#556—1181no—
934#556—1181no—
935#555—591no—
936#555—1181no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#548—591no—
941#548—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—1181no—
953#542—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#533—1181no—
962#532—591no—
963#529—591no—
964#529—1181no—
965C2×#124—591no—
966#519—591no—
967#519—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#496—591no—
972#496—591no—
973#495—591no—
974#495—591no—
975#489—591no—
976#489—591no—
977#489C2×D5911yescharacteristic, complemented
978#489C2×D5911yescharacteristic, complemented
979#486—591no—
980#486C2×D5911yescharacteristic
981#485—591no—
982#485—591no—
983#482—591no—
984#482—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477C2×D5911yescharacteristic, complemented
991#475—591no—
992#474—591no—
993#474—591no—
994#474—591no—
995#474C2×D5911yescharacteristic, complemented
996#474C2×D5911yescharacteristic, complemented
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#466—591no—
1008#466—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#464—591no—
1019#464—591no—
1020#464—591no—
1021#464C2×D5911yescharacteristic, complemented
1022#464C2×D5911yescharacteristic, complemented
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#460—591no—
1037#460C2×D5911yescharacteristic
1038#459—591no—
1039#452—591no—
1040#452—591no—
1041#451—591no—
1042#451—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#450—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#449—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446C2×D5911yescharacteristic, complemented
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440C2×D5911yescharacteristic, complemented
1066#440C2×D5911yescharacteristic, complemented
1067C4×Q16—591no—
1068C4×Q16C2×D5911yescharacteristic, complemented
1069C4×SD16—591no—
1070C4×SD16—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#418—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6209211yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102#137—2362no—
1103#137—2362no—
1104#137—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16C22×D5911yescharacteristic
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—2362no—
1125C2×SD16—2362no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8—21no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—1181no—
1144C4⋊Q8C22×D5911yescharacteristic
1145C4⋊Q8C22×D5911yescharacteristic
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#127—591no—
1149#127C22×D5911yescharacteristic
1150#126—591no—
1151#126—591no—
1152#126—1181no—
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#126—1181no—
1162#125—591no—
1163#125—1181no—
1164#124—21no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—591no—
1171#124—591no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—591no—
1193#123—591no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—591no—
1203C22⋊Q8—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#120—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—21no—
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×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×Q8C22×D5911yescharacteristic
1268C4×Q8C22×D5911yescharacteristic
1269C4×Q8C22×D5911yescharacteristic
1270C4×Q8C22×D5911yescharacteristic
1271C4×D4—21no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—591no—
1294#117—591no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8—591no—
1365#97—591no—
1366#97—591no—
1367#97C22×D5911yescharacteristic
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1182no—
1392C2×Q8—1182no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8D4×D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—4722no—
1425C2×D4—4722no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4C23×D5911yescharacteristic
1433C2×D4C23×D5911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451Q16—22no—
1452Q16—1182no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—22no—
1458SD16—22no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1521C4⋊C4D4×D5911yescharacteristic
1522C4⋊C4D4×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C4⋊C4C23×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
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⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—1181no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—591no—
1596C23—591no—
1597C23—591no—
1598C23—1181no—
1599C23—1181no—
1600C23—1181no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—4721no—
1609C23—2362no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—41no—
1614Q8—81no—
1615Q8—81no—
1616Q8—81no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—2362no—
1626Q8—2362no—
1627Q8#1427377312yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—2361no—
1654D4—2361no—
1655D4—2361no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—2361no—
1690C2×C4—2361no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—1181no—
1717C22—1181no—
1718C22—1181no—
1719C22—1181no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—9442no—
1726C22—9442no—
1727C22—9442no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377311yescharacteristic
1761C4#1683823911yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—4721no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143776211yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3375C2
socleC22×C59C23×D4
hypercenter#3375D59
hypocenterC59#62092
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #21438616C2semidirect
2. #21438114C2semidirect
3. #21437164C2semidirect
4. #21437156C2semidirect
5. #21436910C2semidirect
6. #21436326C2semidirect
7. #21436324C2semidirect
8. #21436251C2semidirect
9. #21436249C2semidirect
10. #21436161C2semidirect
11. #21436159C2semidirect
12. #21435752C2semidirect
13. #21435748C2semidirect
14. #21435608C2semidirect
15. #21435601C2semidirect
16. #21435593C2semidirect
17. #21435586C2semidirect
18. #21435559C2semidirect
19. #21435556C2semidirect
20. #21435485C2semidirect
21. #21435193C2semidirect
22. #21435191C2semidirect
23. #21435100C2semidirect
24. #21434331C2semidirect
25. #21434323C2semidirect
26. #21434245C2semidirect
27. #21433615C2semidirect
28. #21433612C2semidirect
29. #21433587C2semidirect
30. #21433265C2semidirect
31. C59×#3375C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273759C22semidirect
34. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×SD16×D59C22semidirect
43. #16838126C22semidirect
44. #16838126C22semidirect
46. #16838125C22semidirect
48. #16838118C22semidirect
49. Q8×D236C22semidirect
51. #16838064C22semidirect
52. #16838064C22semidirect
62. #16838026C22semidirect
63. #16838026C22semidirect
73. #16837957C22semidirect
78. #16837878C22semidirect
79. #16837878C22semidirect
80. C4×#11745689C22semidirect
81. #16837797C22semidirect
82. #16837796C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837764C22semidirect
88. #16837764C22semidirect
90. #16837745C22semidirect
91. #16837741C22semidirect
93. #16837729C22semidirect
95. #16837725C22semidirect
96. #16837696C22semidirect
97. #16837696C22semidirect
98. #16837694C22semidirect
99. #16837685C22semidirect
100. #16837681C22semidirect
101. #16837679C22semidirect
102. #16837679C22semidirect
103. #16837651C22semidirect
105. #16837649C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837644C22semidirect
112. #16837642C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837626C22semidirect
118. #16837625C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837624C22semidirect
122. #16837624C22semidirect
123. #16837623C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837621C22semidirect
127. #16837620C22semidirect
128. #16837618C22semidirect
129. #16837618C22semidirect
130. #16837617C22semidirect
131. #16837616C22semidirect
132. #16837614C22semidirect
133. #16837608C22semidirect
134. #16837607C22semidirect
137. #16837601C22semidirect
138. #16837601C22semidirect
139. #16837600C22semidirect
141. #16837596C22semidirect
142. #16837567C22semidirect
143. #16837565C22semidirect
144. #16837559C22semidirect
145. #16837559C22semidirect
146. #16837559C22semidirect
147. #16837556C22semidirect
150. #16837554C22semidirect
151. #16837554C22semidirect
152. #16837550C22semidirect
153. #16837550C22semidirect
154. #16837548C22semidirect
155. #16837546C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837533C22semidirect
161. #16837515C22semidirect
162. #16837512C22semidirect
163. #16837510C22semidirect
164. #16837507C22semidirect
165. #16837500C22semidirect
166. #16837500C22semidirect
167. C4×#11745672C22semidirect
168. C4×#11745660C22semidirect
169. C4×#11745670C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837464C22semidirect
177. #16837461C22semidirect
178. #16837457C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. #16837397C22semidirect
187. #16837395C22semidirect
189. Q82×C59C22semidirect
190. C59×#489C22semidirect
191. C59×#489C22semidirect
193. C59×#477C22semidirect
194. C59×#474C22semidirect
195. C59×#474C22semidirect
196. C59×#464C22semidirect
197. C59×#464C22semidirect
199. C59×#446C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C4×Q16×C59C22semidirect
881. #3375D59semidirect
928. Q82C2×D59semidirect
977. #489C2×D59semidirect
978. #489C2×D59semidirect
990. #477C2×D59semidirect
995. #474C2×D59semidirect
996. #474C2×D59semidirect
1021. #464C2×D59semidirect
1022. #464C2×D59semidirect
1058. #446C2×D59semidirect
1065. #440C2×D59semidirect
1066. #440C2×D59semidirect
1068. C4×Q16C2×D59semidirect
1089. C59#62092semidirect

Maximal subgroups

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

subgroupindex
#214386162
#214381142
#214371642
#214371562
#214369102
#214363262
#214363242
#214362512
#214362492
#214361612
#214361592
#214357522
#214357482
#214356082
#214356012
#214355932
#214355862
#214355592
#214355562
#214354852
#214351932
#214351912
#214351002
#214343312
#214343232
#214342452
#214336152
#214336122
#214335872
#214332652
C59×#33752
#6209259