Finite Group Databasebeta

← #29470441

Subgroups — #29470441

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437704C211yesmaximal, characteristic, complemented
2#21437702C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437051C211yesmaximal, characteristic, complemented
5#21436848C211yesmaximal, characteristic, complemented
6#21436844C211yesmaximal, characteristic, complemented
7#21436697C211yesmaximal, characteristic, complemented
8#21436580C211yesmaximal, characteristic, complemented
9#21436576C211yesmaximal, characteristic, complemented
10#21436303C211yesmaximal, characteristic, complemented
11#21436292C211yesmaximal, characteristic, complemented
12#21436236C211yesmaximal, characteristic, complemented
13#21436232C211yesmaximal, characteristic, complemented
14#21436176C211yesmaximal, characteristic, complemented
15#21436172C211yesmaximal, characteristic, complemented
16#21435704C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435575C211yesmaximal, characteristic, complemented
19#21434689C211yesmaximal, characteristic, complemented
20#21434662C211yesmaximal, characteristic, complemented
21#21434147C211yesmaximal, characteristic, complemented
22#21434141C211yesmaximal, characteristic, complemented
23#21434112C211yesmaximal, characteristic, complemented
24#21434108C211yesmaximal, characteristic, complemented
25#21434094C211yesmaximal, characteristic, complemented
26#21434092C211yesmaximal, characteristic, complemented
27#21433058C211yesmaximal, characteristic, complemented
28C4×#14273755C211yesmaximal, characteristic, complemented
29C4×#14273754C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3171C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838138C2211yescharacteristic, complemented
36#16838134C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838113C2211yescharacteristic, complemented
39#16838110C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic
42#16838104C2211yescharacteristic, complemented
43#16838103—21no—
44#16838099—21no—
45#16838099C2211yescharacteristic
46#16838099C2211yescharacteristic, complemented
47#16838082—21no—
48#16838082—21no—
49#16838077—21no—
50#16838075—21no—
51#16838049—21no—
52#16838049C2211yescharacteristic
53#16838049C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838044—21no—
56#16838043C2211yescharacteristic, complemented
57#16838037C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic, complemented
59#16837949C2211yescharacteristic, complemented
60#16837939C2211yescharacteristic, complemented
61#16837934—21no—
62#16837934C2211yescharacteristic, complemented
63#16837934C2211yescharacteristic, complemented
64#16837930—21no—
65#16837914—21no—
66#16837911—21no—
67#16837909—21no—
68#16837909—21no—
69C4×#11745689C2211yescharacteristic, complemented
70C4×#11745685C2211yescharacteristic
71C4×#11745685C2211yescharacteristic, complemented
72C2×C4×D236C2211yescharacteristic, complemented
73C4×D4×D59—21no—
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837783C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837746C2211yescharacteristic, complemented
87#16837740C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837723C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837713C2211yescharacteristic, complemented
97#16837713C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837699C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837679C2211yescharacteristic, complemented
109#16837679C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic
116#16837632C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic
127#16837595C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic
129#16837594C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic
135#16837545C2211yescharacteristic
136#16837537C2211yescharacteristic
137#16837537C2211yescharacteristic, complemented
138#16837535C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic
141#16837534C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic, complemented
146#16837513C2211yescharacteristic
147#16837511C2211yescharacteristic, complemented
148#16837505C2211yescharacteristic, complemented
149#16837504C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152C4×#11745672C2211yescharacteristic, complemented
153C4×#11745660C2211yescharacteristic, complemented
154C4×#11745660C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×D472C2211yescharacteristic
158C4×D472C2211yescharacteristic, complemented
159D8×Dic59C2211yescharacteristic, complemented
160#16837484C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162C4×#11745669C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837455C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837453C2211yescharacteristic, complemented
177#16837444C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180#16837408C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic, complemented
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C4×M16×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C2×D4×D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216C22×C4×D59—21no—
217#14273755—24no—
218#14273754—24no—
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231D8×D59—24no—
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273718—21no—
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273716C2311yescharacteristic
251#14273714—21no—
252#14273714C2311yescharacteristic
253#14273714C2311yescharacteristic
254#14273713—21no—
255#14273713—21no—
256#14273712—21no—
257#14273712—21no—
258#14273712—21no—
259#14273711—21no—
260#14273711—21no—
261#14273709—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273709—21no—
267#14273708—21no—
268#14273708—21no—
269#14273708—21no—
270#14273708—21no—
271#14273707—21no—
272#14273707—21no—
273#14273707—21no—
274#14273707C2311yescharacteristic
275#14273707C2311yescharacteristic
276#14273705—21no—
277#14273705—21no—
278#14273704—21no—
279#14273703—21no—
280#14273703—21no—
281#14273703—21no—
282#14273703—21no—
283#14273703C2311yescharacteristic
284#14273702—21no—
285#14273702—21no—
286#14273702C2311yescharacteristic
287#14273702C2311yescharacteristic
288#14273700—21no—
289#14273700—21no—
290#14273700—21no—
291#14273699—21no—
292#14273698—21no—
293#14273698—21no—
294#14273698—21no—
295#14273698—21no—
296#14273698—21no—
297#14273698C2311yescharacteristic
298#14273698C2311yescharacteristic
299#14273698C2311yescharacteristic
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273695—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308Q8×Dic59C2311yescharacteristic
309C4×Dic118D411yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×Dic118C2311yescharacteristic
312C4×Dic118C2311yescharacteristic
313C4×D236—21no—
314C4×D236—21no—
315C4×D236—21no—
316C4×D236—21no—
317C4×D236D411yescharacteristic
318C4×D236C2311yescharacteristic
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59D411yescharacteristic
346C4×C22⋊D59D411yescharacteristic
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356#14273686—21no—
357#14273686—21no—
358#14273686D411yescharacteristic
359#14273686C2311yescharacteristic
360#14273685—21no—
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684D411yescharacteristic
365#14273684D411yescharacteristic
366C2×C4⋊Dic59C2311yescharacteristic
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C2×(C2×D59)⋊C4—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C42×D59—21no—
381C42×D59—21no—
382C42×D59C2311yescharacteristic
383C42×D59C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59—21no—
439C2×SD16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#124×C59—21no—
450#124×C59C2311yescharacteristic
451#123×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59—21no—
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—82no—
486C2×Q8×C59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59C2×D411yescharacteristic
512C2×C22⋊D59C2×D411yescharacteristic
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517#11745689—22no—
518#11745689—41no—
519D4×D59—22no—
520D4×D59—22no—
521D4×D59—22no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—44no—
526D4×D59—44no—
527#11745685—22no—
528#11745685—41no—
529#11745685—42no—
530#11745685—82no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—41no—
537C2×D236C2×D411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—82no—
557C2×C4×D59—82no—
558C2×C4×D59—82no—
559C2×C4×D59—82no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—41no—
571D8×C59—22no—
572D8×C59—41no—
573M16×C59—22no—
574M16×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C42×C59—21no—
598C42×C59C2×D411yescharacteristic
599C42×C59C2×D411yescharacteristic
600C42×C59C2411yescharacteristic
601C42×C59C2411yescharacteristic
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745672—41no—
616#11745671—22no—
617#11745670—41no—
618#11745669—22no—
619#11745669—22no—
620#11745669—22no—
621#11745669—41no—
622#11745669—41no—
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
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688D472#4114yescomplemented
689#11745660—22no—
690#11745660—22no—
691#11745659—22no—
692#11745659—41no—
693C8×D59—22no—
694C8×D59—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59C22×D411yescharacteristic
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—81no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—81no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—42no—
726D4×C59—42no—
727D4×C59—81no—
728D4×C59—81no—
729D4×C59—81no—
730C2×C4×C59—22no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—41no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C2511yescharacteristic
748C22⋊D59—22no—
749C22⋊D59—41no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—81no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59—81no—
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774D236—22no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—42no—
780D236—42no—
781D236—42no—
782D236—81no—
783D236C2×#4112yes—
784D236C2×#4112yes—
785C4×D59—22no—
786C4×D59—22no—
787C4×D59—22no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—41no—
793C4×D59—42no—
794C4×D59—42no—
795C4×D59—42no—
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—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808Dic118—21no—
809Dic118—21no—
810Dic118—41no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59C2×#4112yes—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—22no—
838C2×D59—22no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—84no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59#57512yes—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59#57612yes—
863C4×C59C22×#4111yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171D5911yescharacteristic, complemented
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59D4×#4111yescharacteristic
912C2×C59C2×#57511yescharacteristic
913C2×C59C2×#57611yescharacteristic
914D59—22no—
915D59—41no—
916D59—42no—
917D59—42no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—591no—
942#546—1181no—
943#546—1181no—
944D42—591no—
945D42—591no—
946#532—591no—
947#532C2×D5911yescharacteristic, complemented
948#529—591no—
949#529—591no—
950#529—591no—
951#529—1181no—
952#529—1181no—
953#529C2×D5911yescharacteristic, complemented
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501C2×D5911yescharacteristic, complemented
969#499—591no—
970#496—591no—
971#496C2×D5911yescharacteristic, complemented
972#495—591no—
973#490—591no—
974#490C2×D5911yescharacteristic, complemented
975#489—591no—
976#489C2×D5911yescharacteristic, complemented
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474—591no—
1003#469—591no—
1004#469—591no—
1005#469C2×D5911yescharacteristic, complemented
1006#469C2×D5911yescharacteristic, complemented
1007#468—591no—
1008#468—591no—
1009#468C2×D5911yescharacteristic, complemented
1010#468C2×D5911yescharacteristic, complemented
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447—591no—
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16C2×D5911yescharacteristic, complemented
1055C4×SD16C2×D5911yescharacteristic, complemented
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8C2×D5911yescharacteristic, complemented
1068C4×D8C2×D5911yescharacteristic, complemented
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16C2×D5911yescharacteristic, complemented
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—21no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41—1181no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16C22×D5911yescharacteristic
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—1184no—
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16C22×D5911yescharacteristic
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8C22×D5911yescharacteristic
1133#127—591no—
1134#127C22×D5911yescharacteristic
1135#126—21no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—591no—
1146#125—1181no—
1147#125—1181no—
1148#125C22×D5911yescharacteristic
1149#124—21no—
1150#124—591no—
1151#124—591no—
1152#124—591no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124C22×D5911yescharacteristic
1157#123—21no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—591no—
1174C22⋊Q8—591no—
1175C22⋊Q8—591no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8C22×D5911yescharacteristic
1187#121—21no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—1181no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121C22×D5911yescharacteristic
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—1181no—
1208#120—1181no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8C22×D5911yescharacteristic
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—591no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—21no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—591no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—591no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4—1181no—
1286C2×C22⋊C4—1181no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—1181no—
1297C2×C42—1181no—
1298C2×C42C22×D5911yescharacteristic
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106C22×D5911yescharacteristic
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103C22×D5911yescharacteristic
1328#103C22×D5911yescharacteristic
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359#97—591no—
1360#97—591no—
1361#97C22×D5911yescharacteristic
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8C22×D5911yescharacteristic
1368C4×C8C22×D5911yescharacteristic
1369C24—1181no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—82no—
1374#41—1182no—
1375#41—1182no—
1376#41—4722no—
1377#41—2361no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—21no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—1181no—
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—1182no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2364no—
1418C2×D4—2364no—
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
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—4722no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4D4×D5911yescharacteristic
1455C22×C4D4×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—22no—
1459SD16—41no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—2361no—
1464D8—22no—
1465D8—41no—
1466D8—594no—
1467D8—1182no—
1468D8—1182no—
1469D8—1182no—
1470D8—1182no—
1471D8—2361no—
1472D8—2361no—
1473M16—22no—
1474M16—41no—
1475M16—1182no—
1476M16—2361no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—1182no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
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—
1567C42—21no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42D4×D5911yescharacteristic
1580C42D4×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—591no—
1587C23—591no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—4721no—
1592C23—4721no—
1593C23—4721no—
1594C23—4721no—
1595C23—2362no—
1596C23—2362no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—592no—
1623D4—592no—
1624D4—1182no—
1625D4—1182no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—1181no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2361no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4—2362no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—1182no—
1663C2×C4—1182no—
1664C2×C4—1182no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—2361no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4C2×D4×D5911yescharacteristic
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8#41×D5912yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—592no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1182no—
1727C22—1182no—
1728C22—4724no—
1729C22—4724no—
1730C22—4724no—
1731C22—4724no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4#1683820612yes—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823811yescharacteristic
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—1182no—
1768C2—4721no—
1769C2—2361no—
1770C2—2362no—
1771C2—2362no—
1772C2#2143758211yescharacteristic
1773C2#575×D5911yescharacteristic
1774C2C2×#1683820611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3171C2
socleC22×C59C23×D4
hypercenter#3171D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3171

Complements

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

NH ≅ G/Ntype
1. #21437704C2semidirect
2. #21437702C2semidirect
3. #21437181C2semidirect
4. #21437051C2semidirect
5. #21436848C2semidirect
6. #21436844C2semidirect
7. #21436697C2semidirect
8. #21436580C2semidirect
9. #21436576C2semidirect
10. #21436303C2semidirect
11. #21436292C2semidirect
12. #21436236C2semidirect
13. #21436232C2semidirect
14. #21436176C2semidirect
15. #21436172C2semidirect
16. #21435704C2semidirect
17. #21435583C2semidirect
18. #21435575C2semidirect
19. #21434689C2semidirect
20. #21434662C2semidirect
21. #21434147C2semidirect
22. #21434141C2semidirect
23. #21434112C2semidirect
24. #21434108C2semidirect
25. #21434094C2semidirect
26. #21434092C2semidirect
27. #21433058C2semidirect
28. C4×#14273755C2semidirect
29. C4×#14273754C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3171C2semidirect
35. #16838138C22semidirect
36. #16838134C22semidirect
37. #16838113C22semidirect
38. #16838113C22semidirect
39. #16838110C22semidirect
40. #16838108C22semidirect
42. #16838104C22semidirect
46. #16838099C22semidirect
53. #16838049C22semidirect
56. #16838043C22semidirect
57. #16838037C22semidirect
58. #16838036C22semidirect
59. #16837949C22semidirect
60. #16837939C22semidirect
62. #16837934C22semidirect
63. #16837934C22semidirect
69. C4×#11745689C22semidirect
71. C4×#11745685C22semidirect
72. C2×C4×D236C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837802C22semidirect
80. #16837790C22semidirect
81. #16837783C22semidirect
82. #16837765C22semidirect
83. #16837760C22semidirect
84. #16837758C22semidirect
85. #16837755C22semidirect
86. #16837746C22semidirect
87. #16837740C22semidirect
88. #16837739C22semidirect
89. #16837736C22semidirect
90. #16837725C22semidirect
91. #16837723C22semidirect
92. #16837722C22semidirect
93. #16837719C22semidirect
94. #16837717C22semidirect
95. #16837714C22semidirect
96. #16837713C22semidirect
97. #16837713C22semidirect
98. #16837707C22semidirect
99. #16837706C22semidirect
100. #16837705C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837701C22semidirect
104. #16837700C22semidirect
105. #16837699C22semidirect
106. #16837681C22semidirect
107. #16837680C22semidirect
108. #16837679C22semidirect
109. #16837679C22semidirect
110. #16837654C22semidirect
111. #16837652C22semidirect
112. #16837649C22semidirect
113. #16837647C22semidirect
114. #16837642C22semidirect
116. #16837632C22semidirect
117. #16837628C22semidirect
118. #16837622C22semidirect
119. #16837621C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837616C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837614C22semidirect
127. #16837595C22semidirect
129. #16837594C22semidirect
130. #16837567C22semidirect
131. #16837562C22semidirect
132. #16837554C22semidirect
133. #16837551C22semidirect
137. #16837537C22semidirect
138. #16837535C22semidirect
139. #16837535C22semidirect
141. #16837534C22semidirect
142. #16837530C22semidirect
143. #16837530C22semidirect
145. #16837515C22semidirect
147. #16837511C22semidirect
148. #16837505C22semidirect
149. #16837504C22semidirect
150. #16837504C22semidirect
151. #16837503C22semidirect
152. C4×#11745672C22semidirect
153. C4×#11745660C22semidirect
154. C4×#11745660C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745670C22semidirect
158. C4×D472C22semidirect
159. D8×Dic59C22semidirect
161. C4×#11745669C22semidirect
162. C4×#11745669C22semidirect
163. C4×#11745669C22semidirect
164. C4×#11745669C22semidirect
165. C4×#11745669C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837478C22semidirect
169. #16837478C22semidirect
170. #16837475C22semidirect
171. #16837475C22semidirect
172. #16837471C22semidirect
173. #16837471C22semidirect
174. #16837455C22semidirect
175. #16837453C22semidirect
176. #16837453C22semidirect
177. #16837444C22semidirect
178. #16837441C22semidirect
179. #107×D59C22semidirect
180. #16837408C22semidirect
181. #16837405C22semidirect
182. #16837404C22semidirect
183. #16837402C22semidirect
184. #102×D59C22semidirect
185. #102×D59C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#532C22semidirect
189. C59×#529C22semidirect
190. C59×#501C22semidirect
191. C59×#496C22semidirect
192. C59×#490C22semidirect
193. C59×#489C22semidirect
194. C59×#469C22semidirect
195. C59×#469C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
200. C4×D8×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C4×M16×C59C22semidirect
688. D472#41semidirect
895. #3171D59semidirect
947. #532C2×D59semidirect
953. #529C2×D59semidirect
968. #501C2×D59semidirect
971. #496C2×D59semidirect
974. #490C2×D59semidirect
976. #489C2×D59semidirect
1005. #469C2×D59semidirect
1006. #469C2×D59semidirect
1009. #468C2×D59semidirect
1010. #468C2×D59semidirect
1054. C4×SD16C2×D59semidirect
1055. C4×SD16C2×D59semidirect
1067. C4×D8C2×D59semidirect
1068. C4×D8C2×D59semidirect
1088. C4×M16C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377042
#214377022
#214371812
#214370512
#214368482
#214368442
#214366972
#214365802
#214365762
#214363032
#214362922
#214362362
#214362322
#214361762
#214361722
#214357042
#214355832
#214355752
#214346892
#214346622
#214341472
#214341412
#214341122
#214341082
#214340942
#214340922
#214330582
C4×#142737552
C4×#142737542
C4×D8×D592
C59×#31712
#6144459