Finite Group Databasebeta

← #29470446

Subgroups — #29470446

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#21437702C211yesmaximal, characteristic, complemented
2#21437700C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437054C211yesmaximal, characteristic, complemented
5#21436853C211yesmaximal, characteristic, complemented
6#21436847C211yesmaximal, characteristic, complemented
7#21436699C211yesmaximal, characteristic, complemented
8#21436585C211yesmaximal, characteristic, complemented
9#21436579C211yesmaximal, characteristic, complemented
10#21436304C211yesmaximal, characteristic, complemented
11#21436294C211yesmaximal, characteristic, complemented
12#21436241C211yesmaximal, characteristic, complemented
13#21436235C211yesmaximal, characteristic, complemented
14#21436181C211yesmaximal, characteristic, complemented
15#21436175C211yesmaximal, characteristic, complemented
16#21435702C211yesmaximal, characteristic, complemented
17#21435580C211yesmaximal, characteristic, complemented
18#21435569C211yesmaximal, characteristic, complemented
19#21434689C211yesmaximal, characteristic, complemented
20#21434687C211yesmaximal, characteristic, complemented
21#21434660C211yesmaximal, characteristic, complemented
22#21434145C211yesmaximal, characteristic, complemented
23#21434118C211yesmaximal, characteristic, complemented
24#21434112C211yesmaximal, characteristic, complemented
25#21434094C211yesmaximal, characteristic, complemented
26#21434094C211yesmaximal, characteristic, complemented
27#21433057C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C2×C4×#11745669C211yesmaximal, characteristic, complemented
31C59×#3105C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838134C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838110C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic
43#16838103—21no—
44#16838102C2211yescharacteristic, complemented
45#16838101—21no—
46#16838100C2211yescharacteristic
47#16838081—21no—
48#16838078—21no—
49#16838077—21no—
50#16838075—21no—
51#16838047C2211yescharacteristic, complemented
52#16838046C2211yescharacteristic
53#16838045C2211yescharacteristic, complemented
54#16838044—21no—
55#16838043C2211yescharacteristic
56#16838042—21no—
57#16838036C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16837949C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic, complemented
61#16837939C2211yescharacteristic, complemented
62#16837936C2211yescharacteristic, complemented
63#16837934C2211yescharacteristic, complemented
64#16837932—21no—
65#16837930—21no—
66#16837914—21no—
67#16837913—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×D236C2211yescharacteristic, complemented
74C2×C4×C22⋊D59—21no—
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837759C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837701C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837656C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic, complemented
115#16837649C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic
120#16837633C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic
129#16837596C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic
131#16837595C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837548C2211yescharacteristic
136#16837546C2211yescharacteristic
137#16837538C2211yescharacteristic
138#16837537C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837529C2211yescharacteristic, complemented
143#16837529C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic
147#16837511C2211yescharacteristic
148#16837505C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837499C2211yescharacteristic, complemented
152C4×#11745672C2211yescharacteristic, complemented
153C4×#11745660C2211yescharacteristic, complemented
154C4×#11745660C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×D472C2211yescharacteristic, complemented
158C4×D472C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic
160C4×#11745669C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162C4×#11745669C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178C2×#14273660C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185C4×#11745659C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C2×C4×C59⋊C8C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685D411yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216#14273754—24no—
217#14273751—24no—
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669—24no—
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236C22×C59⋊C8C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273716C2311yescharacteristic
254#14273715C2311yescharacteristic
255#14273714C2311yescharacteristic
256#14273713—21no—
257#14273713—21no—
258#14273713—21no—
259#14273713—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273711—21no—
267#14273710—21no—
268#14273710—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273707—21no—
276#14273707—21no—
277#14273707C2311yescharacteristic
278#14273706—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273703C2311yescharacteristic
288#14273702—21no—
289#14273702—21no—
290#14273702C2311yescharacteristic
291#14273702C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273701—21no—
294#14273701—21no—
295#14273701C2311yescharacteristic
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273698C2311yescharacteristic
305#14273698C2311yescharacteristic
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311#14273696—21no—
312#14273696—21no—
313#14273695—21no—
314#14273695—21no—
315Q8×Dic59C2311yescharacteristic
316C4×Dic118D411yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319#14273692C2311yescharacteristic
320C4×D236—21no—
321C4×D236—21no—
322C4×D236—21no—
323C4×D236—21no—
324C4×D236D411yescharacteristic
325C4×D236C2311yescharacteristic
326C4×D236C2311yescharacteristic
327C4×D236C2311yescharacteristic
328C4×D236C2311yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331D4×Dic59—21no—
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335#14273689—21no—
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59D411yescharacteristic
352C4×C22⋊D59D411yescharacteristic
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686D411yescharacteristic
362#14273685—21no—
363#14273685C2311yescharacteristic
364#14273685C2311yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273684D411yescharacteristic
368#14273684D411yescharacteristic
369#14273683—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
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
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C4×C59⋊C8C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59C2311yescharacteristic
446#124×C59C2311yescharacteristic
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—41no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—82no—
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—44no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522#11745689—22no—
523#11745689—41no—
524#11745687—22no—
525#11745687—41no—
526D4×D59—22no—
527D4×D59—22no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—44no—
531#11745685—42no—
532#11745685—82no—
533#11745685—82no—
534C2×D236—22no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236C2×D411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
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×D59C2×D411yescharacteristic
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—41no—
571D8×C59—22no—
572D8×C59—41no—
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C42×C59—21no—
596C42×C59C2×D411yescharacteristic
597C42×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C42×C59C2411yescharacteristic
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745671—22no—
613#11745670—22no—
614#11745669—22no—
615#11745669—22no—
616#11745669—22no—
617#11745669—41no—
618#11745669#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59C2×D411yescharacteristic
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C2×C59⋊C8—22no—
682C2×C59⋊C8—41no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688D472—41no—
689#11745660—22no—
690#11745660—41no—
691#11745659—22no—
692#11745659—22no—
693#11745659—41no—
694#11745659—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—42no—
699C23×C59—42no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—42no—
724D4×C59—42no—
725D4×C59C2×#4112yes—
726C2×C4×C59—22no—
727C2×C4×C59—22no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—81no—
739C2×C4×C59—81no—
740C2×C4×C59—81no—
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C2511yescharacteristic
747C22⋊D59—22no—
748C22⋊D59—22no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
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—42no—
766C2×Dic59—42no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776D236—21no—
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—41no—
782D236—42no—
783D236—42no—
784D236—42no—
785D236—81no—
786D236—81no—
787D236C2×#4112yes—
788C4×D59—22no—
789C4×D59—22no—
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—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—81no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—22no—
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—84no—
833C22×C59#57512yes—
834C22×C59C23×D411yescharacteristic
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—22no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59—84no—
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#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105D5911yescharacteristic, complemented
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—22no—
908C2×C59—42no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59D4×#4111yescharacteristic
912C2×C59C2×#57511yescharacteristic
913C2×C59C2×#57611yescharacteristic
914D59—41no—
915D59—41no—
916D59—42no—
917D59—81no—
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#532—591no—
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—1181no—
965C2×C4×D4—1181no—
966C2×C4×D4C2×D5911yescharacteristic, complemented
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489—591no—
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#481—591no—
986#481C2×D5911yescharacteristic, complemented
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#478C2×D5911yescharacteristic, complemented
998#478C2×D5911yescharacteristic, complemented
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474—591no—
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
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#463C2×D5911yescharacteristic, complemented
1022#463C2×D5911yescharacteristic, complemented
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450C2×D5911yescharacteristic, complemented
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447C2×D5911yescharacteristic
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#431C2×D5911yescharacteristic, complemented
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×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41—1181no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—21no—
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×M16—591no—
1128C2×M16—591no—
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133#127—591no—
1134#127—591no—
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—591no—
1150#124—591no—
1151#124—591no—
1152#124—1181no—
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—591no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
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#121—1181no—
1205#121—1181no—
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—21no—
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—1181no—
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×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
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—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—21no—
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⋊C8C22×D5911yescharacteristic
1320C4⋊C8C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97—591no—
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8C22×D5911yescharacteristic
1368C4×C8C22×D5911yescharacteristic
1369C24—21no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—1182no—
1374#41—1182no—
1375#41—4722no—
1376#41—4722no—
1377#41—2362no—
1378#41—2361no—
1379#41—2361no—
1380C2×Q8—591no—
1381C2×Q8—591no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—591no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—1182no—
1396C2×D4—1181no—
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—1181no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
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—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—82no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
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—1181no—
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—1182no—
1474M16—1182no—
1475M16—2361no—
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—42no—
1587C23—42no—
1588C23—81no—
1589C23—591no—
1590C23—591no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—4721no—
1595C23—4721no—
1596C23—4721no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—4721no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—42no—
1618D4—592no—
1619D4—1182no—
1620D4—1182no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2361no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—1182no—
1666C2×C4—1182no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
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—2361no—
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—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—84no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1182no—
1727C22—4724no—
1728C22—4724no—
1729C22—4724no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#1683819912yes—
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—22no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—4721no—
1768C2—4721no—
1769C2—2361no—
1770C2—2361no—
1771C2—2362no—
1772C2#2143757911yescharacteristic
1773C2C2×#1683819911yescharacteristic
1774C2C2×#1683820611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3105C2
socleC22×C59C23×D4
hypercenter#3105D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21437702C2semidirect
2. #21437700C2semidirect
3. #21437184C2semidirect
4. #21437054C2semidirect
5. #21436853C2semidirect
6. #21436847C2semidirect
7. #21436699C2semidirect
8. #21436585C2semidirect
9. #21436579C2semidirect
10. #21436304C2semidirect
11. #21436294C2semidirect
12. #21436241C2semidirect
13. #21436235C2semidirect
14. #21436181C2semidirect
15. #21436175C2semidirect
16. #21435702C2semidirect
17. #21435580C2semidirect
18. #21435569C2semidirect
19. #21434689C2semidirect
20. #21434687C2semidirect
21. #21434660C2semidirect
22. #21434145C2semidirect
23. #21434118C2semidirect
24. #21434112C2semidirect
25. #21434094C2semidirect
26. #21434094C2semidirect
27. #21433057C2semidirect
28. C4×#14273754C2semidirect
29. C4×#14273751C2semidirect
30. C2×C4×#11745669C2semidirect
31. C59×#3105C2semidirect
35. #16838135C22semidirect
36. #16838134C22semidirect
37. #16838111C22semidirect
38. #16838110C22semidirect
39. #16838108C22semidirect
40. #16838107C22semidirect
41. #16838105C22semidirect
44. #16838102C22semidirect
51. #16838047C22semidirect
53. #16838045C22semidirect
57. #16838036C22semidirect
58. D4×C22⋊D59C22semidirect
59. #16837949C22semidirect
60. #16837949C22semidirect
61. #16837939C22semidirect
62. #16837936C22semidirect
63. #16837934C22semidirect
70. C4×#11745689C22semidirect
72. C4×#11745687C22semidirect
73. C2×C4×D236C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837809C22semidirect
80. #16837801C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837765C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837759C22semidirect
89. #16837756C22semidirect
90. #16837746C22semidirect
91. #16837741C22semidirect
92. #16837738C22semidirect
93. #16837728C22semidirect
94. #16837725C22semidirect
95. #16837721C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837712C22semidirect
101. #16837707C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837701C22semidirect
106. #16837681C22semidirect
107. #16837681C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837656C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837652C22semidirect
114. #16837651C22semidirect
115. #16837649C22semidirect
116. #16837647C22semidirect
117. #16837645C22semidirect
118. #16837641C22semidirect
120. #16837633C22semidirect
121. #16837629C22semidirect
122. #16837627C22semidirect
123. #16837622C22semidirect
124. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837618C22semidirect
127. #16837616C22semidirect
129. #16837596C22semidirect
131. #16837595C22semidirect
132. #16837567C22semidirect
133. #16837561C22semidirect
134. #16837555C22semidirect
138. #16837537C22semidirect
139. #16837537C22semidirect
140. #16837534C22semidirect
141. #16837534C22semidirect
142. #16837529C22semidirect
143. #16837529C22semidirect
144. #16837514C22semidirect
145. #16837513C22semidirect
148. #16837505C22semidirect
149. #16837503C22semidirect
150. #16837501C22semidirect
151. #16837499C22semidirect
152. C4×#11745672C22semidirect
153. C4×#11745660C22semidirect
154. C4×#11745660C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745670C22semidirect
157. C4×D472C22semidirect
158. C4×D472C22semidirect
161. C4×#11745669C22semidirect
162. C4×#11745669C22semidirect
163. C4×#11745669C22semidirect
164. C4×#11745669C22semidirect
165. C4×#11745669C22semidirect
166. C4×#11745669C22semidirect
167. C4×#11745669C22semidirect
168. #16837479C22semidirect
169. #16837479C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. #16837470C22semidirect
173. #16837470C22semidirect
174. #16837453C22semidirect
175. #16837453C22semidirect
176. #16837443C22semidirect
177. #16837441C22semidirect
178. C2×#14273660C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. #16837400C22semidirect
183. C2×#14273648C22semidirect
184. C2×#14273647C22semidirect
185. C4×#11745659C22semidirect
186. C4×#11745659C22semidirect
187. C2×C4×C59⋊C8C22semidirect
188. C59×#529C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#484C22semidirect
191. C59×#481C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
200. C4×D8×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
618. #11745669#41semidirect
898. #3105D59semidirect
953. #529C2×D59semidirect
966. C2×C4×D4C2×D59semidirect
982. #484C2×D59semidirect
986. #481C2×D59semidirect
997. #478C2×D59semidirect
998. #478C2×D59semidirect
1021. #463C2×D59semidirect
1022. #463C2×D59semidirect
1030. #450C2×D59semidirect
1054. C4×SD16C2×D59semidirect
1055. C4×SD16C2×D59semidirect
1067. C4×D8C2×D59semidirect
1068. C4×D8C2×D59semidirect
1077. #431C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214377002
#214371842
#214370542
#214368532
#214368472
#214366992
#214365852
#214365792
#214363042
#214362942
#214362412
#214362352
#214361812
#214361752
#214357022
#214355802
#214355692
#214346892
#214346872
#214346602
#214341452
#214341182
#214341122
#214340942
#214330572
C4×#142737542
C4×#142737512
C2×C4×#117456692
C59×#31052
#6144459