Finite Group Databasebeta

← #29475832

Subgroups — #29475832

Order 15104.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438491C211yesmaximal, characteristic, complemented
2#21437855C211yesmaximal, characteristic, complemented
3#21436408C211yesmaximal, characteristic, complemented
4#21436405C211yesmaximal, characteristic, complemented
5#21436061C211yesmaximal, characteristic, complemented
6#21436058C211yesmaximal, characteristic, complemented
7#21436053C211yesmaximal, characteristic, complemented
8#21436050C211yesmaximal, characteristic, complemented
9#21435916C211yesmaximal, characteristic, complemented
10#21435913C211yesmaximal, characteristic, complemented
11#21435824C211yesmaximal, characteristic, complemented
12#21435820C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435625C211yesmaximal, characteristic, complemented
16#21435621C211yesmaximal, characteristic, complemented
17#21435619C211yesmaximal, characteristic, complemented
18#21435615C211yesmaximal, characteristic, complemented
19#21435104C211yesmaximal, characteristic, complemented
20#21435027C211yesmaximal, characteristic, complemented
21#21435008C211yesmaximal, characteristic, complemented
22#21435005C211yesmaximal, characteristic, complemented
23#21435004C211yesmaximal, characteristic, complemented
24#21435002C211yesmaximal, characteristic, complemented
25#21434182C211yesmaximal, characteristic, complemented
26#21434099C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433400C211yesmaximal, characteristic, complemented
29#21433395C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3012C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×#14273746C2211yescharacteristic, complemented
39#16838148—21no—
40#16838147—21no—
41#16838110C2211yescharacteristic, complemented
42#16838107C2211yescharacteristic, complemented
43#16838106—21no—
44#16838071C2211yescharacteristic, complemented
45#16838070—21no—
46#16838070C2211yescharacteristic, complemented
47#16838054C2211yescharacteristic, complemented
48#16838053C2211yescharacteristic, complemented
49#16838052C2211yescharacteristic, complemented
50#16838051—21no—
51#16838051C2211yescharacteristic
52#16838051C2211yescharacteristic
53#16838051C2211yescharacteristic, complemented
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic
57#16838040—21no—
58#16838040C2211yescharacteristic
59#16838040C2211yescharacteristic
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838002—21no—
64#16838002—21no—
65#16837982C2211yescharacteristic, complemented
66#16837981—21no—
67#16837981C2211yescharacteristic, complemented
68#16837980C2211yescharacteristic
69#16837980C2211yescharacteristic
70#16837980C2211yescharacteristic, complemented
71#16837979—21no—
72#16837961—21no—
73#16837961—21no—
74#16837954C2211yescharacteristic, complemented
75#16837948C2211yescharacteristic
76#16837948C2211yescharacteristic
77#16837947C2211yescharacteristic, complemented
78C2×#14273699—21no—
79C2×#14273699—21no—
80C2×D4×Dic59C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837733C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837730C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837658C2211yescharacteristic, complemented
108#16837657C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837611C2211yescharacteristic, complemented
126#16837610C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837565C2211yescharacteristic, complemented
136#16837564C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837564C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837561C2211yescharacteristic, complemented
142#16837561C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic
145#16837553C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic
159#16837536C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C2×#135×C59C2211yescharacteristic, complemented
191C59×#537C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic, complemented
193C59×#452C2211yescharacteristic, complemented
194C59×#450C2211yescharacteristic
195C59×#450C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic
199C59×#447C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59C2311yescharacteristic
222C2×D4×D59C2311yescharacteristic
223C23×Dic59—21no—
224#14273754—42no—
225#14273753—42no—
226#14273751—42no—
227#14273748—42no—
228#14273747—42no—
229#14273746—42no—
230C2×Dic236C2311yescharacteristic
231C2×#11745672C2311yescharacteristic
232C2×#11745672C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273726C2311yescharacteristic
254#14273725D411yescharacteristic
255#14273725C2311yescharacteristic
256#14273725C2311yescharacteristic
257#14273723—21no—
258#14273723—21no—
259#14273723D411yescharacteristic
260#14273723C2311yescharacteristic
261#14273723C2311yescharacteristic
262#14273717—21no—
263#14273717—21no—
264#14273717—21no—
265#14273716D411yescharacteristic
266#14273716C2311yescharacteristic
267#14273714D411yescharacteristic
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273712—21no—
271#14273712—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273707—21no—
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706—21no—
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273701—21no—
309#14273701—21no—
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699D411yescharacteristic
340#14273699D411yescharacteristic
341#14273699D411yescharacteristic
342#14273699D411yescharacteristic
343#14273698—21no—
344#14273698—21no—
345#14273698—21no—
346#14273698—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273696—21no—
351#14273696—21no—
352#14273696—21no—
353#14273696—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358Q8×Dic59C2311yescharacteristic
359#14273692—21no—
360#14273692C2311yescharacteristic
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C2×C4⋊Dic59C2311yescharacteristic
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4—21no—
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443H(5,𝔽2)×C59—42no—
444H(5,𝔽2)×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C22×D4×C59—21no—
452C22×D4×C59—21no—
453C22×D4×C59—21no—
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457AGL(1,ℤ/8)×C59—42no—
458#135×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×SD16×C59C2311yescharacteristic
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×D8×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59—21no—
474#121×C59—21no—
475#121×C59C2311yescharacteristic
476#121×C59C2311yescharacteristic
477C2×C4⋊C4×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—44no—
506C2×Q8×C59C2×D411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—22no—
510C2×D4×C59—22no—
511C2×D4×C59—22no—
512C2×D4×C59—22no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—44no—
525C2×D4×C59—44no—
526C2×D4×C59—44no—
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—44no—
561C2×C22⋊D59—44no—
562C2×C22⋊D59—82no—
563C2×C22⋊D59—82no—
564C2×C22⋊D59C2×D411yescharacteristic
565C2×C22⋊D59C2×D411yescharacteristic
566C2×C22⋊D59C2×D411yescharacteristic
567C2×C22⋊D59C2×D411yescharacteristic
568C2×C22⋊D59C2×D411yescharacteristic
569C2×C22⋊D59C2×D411yescharacteristic
570C22×Dic59—21no—
571C22×Dic59—21no—
572C22×Dic59—21no—
573C22×Dic59—21no—
574C22×Dic59—21no—
575C22×Dic59—21no—
576C22×Dic59—21no—
577C22×Dic59—21no—
578C22×Dic59—21no—
579C22×Dic59—21no—
580C22×Dic59—82no—
581C22×Dic59C2×D411yescharacteristic
582C22×Dic59C2×D411yescharacteristic
583#11745689—41no—
584#11745689—41no—
585#11745687—22no—
586#11745687—22no—
587#11745687—41no—
588#11745687—41no—
589#11745687—41no—
590#11745687—41no—
591#11745687—44no—
592#11745687—82no—
593#11745687—82no—
594D4×D59—22no—
595D4×D59—22no—
596D4×D59—41no—
597D4×D59—41no—
598D4×D59—44no—
599#11745685—41no—
600#11745685—41no—
601#11745685—41no—
602#11745685—41no—
603#11745685—41no—
604#11745685—41no—
605#11745685—82no—
606C2×D236—21no—
607C2×D236—21no—
608C2×D236C2×D411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×Dic118—21no—
620C2×Dic118—21no—
621C2×Dic118C2×D411yescharacteristic
622C2×Dic118C2411yescharacteristic
623C2×Dic118C2411yescharacteristic
624Q16×C59—41no—
625SD16×C59—22no—
626SD16×C59—22no—
627SD16×C59—41no—
628SD16×C59—41no—
629D8×C59—22no—
630D8×C59—22no—
631D8×C59—41no—
632M16×C59—41no—
633C2×C8×C59—41no—
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C2×C8×C59C2411yescharacteristic
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59C2×D411yescharacteristic
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664C22⋊Dic59C2×D411yescharacteristic
665#11745672—41no—
666#11745672—41no—
667#11745671—41no—
668#11745671—41no—
669#11745670—22no—
670#11745670—22no—
671#11745670—41no—
672#11745670—41no—
673#11745669—22no—
674#11745669—22no—
675#11745669—41no—
676#11745669—41no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2×D411yescharacteristic
725C4×Dic59C2411yescharacteristic
726C4×Dic59C2411yescharacteristic
727#11745664—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733Dic236—41no—
734D472—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—24no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C23×C59C22×D411yescharacteristic
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—41no—
772D4×C59—24no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59H(5,𝔽2)12yes—
791D4×C59H(5,𝔽2)12yes—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—42no—
803C2×C4×C59—42no—
804C2×C4×C59—42no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C2511yescharacteristic
811C22⋊D59—22no—
812C22⋊D59—22no—
813C22⋊D59—41no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C2×Dic59—22no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—41no—
843C2×Dic59—42no—
844C2×Dic59—42no—
845C2×Dic59—42no—
846C2×Dic59—42no—
847C2×Dic59—42no—
848C2×Dic59—81no—
849C2×Dic59—81no—
850C2×Dic59—81no—
851C2×Dic59—81no—
852C2×Dic59—81no—
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858C2×Dic59C22×D411yescharacteristic
859D236—21no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—41no—
864D236—81no—
865D236—81no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—42no—
871C4×D59—42no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875C4×D59—81no—
876Dic118—21no—
877Dic118—21no—
878Dic118—21no—
879Dic118—21no—
880Dic118—41no—
881Dic118—42no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61685—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—22no—
896C22×C59—22no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—84no—
914C22×C59—162no—
915C22×C59—162no—
916C22×C59C23×D411yescharacteristic
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—162no—
930C2×D59—162no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59C2×H(5,𝔽2)11yescharacteristic
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940Dic59—21no—
941Dic59—21no—
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—41no—
946Dic59—41no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59#57712yes—
952#3548—591no—
953#3496—591no—
954#3331—591no—
955#3331—591no—
956#3306—591no—
957#3306—591no—
958#3306—591no—
959#3306—591no—
960#3295—591no—
961#3295—591no—
962#3284—591no—
963#3284—591no—
964#3274—591no—
965#3274—591no—
966#3267—591no—
967#3267—591no—
968#3267—591no—
969#3267—591no—
970#3216—591no—
971#3207—591no—
972#3204—591no—
973#3204—591no—
974#3204—591no—
975#3204—591no—
976#3109—591no—
977#3101—591no—
978#3012—591no—
979#3012—591no—
980#3012—591no—
981#3012D5911yescharacteristic, complemented
982#2981—591no—
983C2×C59—42no—
984C2×C59—42no—
985C2×C59—41no—
986C2×C59—41no—
987C2×C59—41no—
988C2×C59—81no—
989C2×C59—81no—
990C2×C59#348411yescharacteristic
991C2×C59C2×#57711yescharacteristic
992C2×C59#358511yescharacteristic
993D59—41no—
994D59—41no—
995D59—81no—
996D59—81no—
997C2×H(5,𝔽2)—591no—
998C2×H(5,𝔽2)C2×D5911yescharacteristic
999C2×AGL(1,ℤ/8)—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1003C2×#135—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C2×#135C2×D5911yescharacteristic, complemented
1007#562—1181no—
1008#562—1181no—
1009#554—591no—
1010#554—591no—
1011#554—1181no—
1012#550—591no—
1013#550—591no—
1014#550—1181no—
1015#547—591no—
1016#547—591no—
1017#547—591no—
1018#547—591no—
1019#547—591no—
1020#547—591no—
1021#547—1181no—
1022#546—591no—
1023#546—591no—
1024#546—591no—
1025#546—591no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031#540—1181no—
1032#540—1181no—
1033#537—591no—
1034#537—591no—
1035#537—591no—
1036#537—591no—
1037#537—591no—
1038#537—1181no—
1039#537—1181no—
1040#537C2×D5911yescharacteristic, complemented
1041#534—1181no—
1042#534—1181no—
1043#533—591no—
1044#532—591no—
1045#532—591no—
1046#532—591no—
1047C2×#121—1181no—
1048C2×#121—1181no—
1049C2×C4×D4—591no—
1050#497—591no—
1051#497—591no—
1052#493—591no—
1053#492—591no—
1054#489—591no—
1055#489—591no—
1056#487—591no—
1057#486—591no—
1058#483—591no—
1059#483—591no—
1060#483—591no—
1061#483—591no—
1062#483—591no—
1063#483—591no—
1064#481—591no—
1065#481—591no—
1066#481—591no—
1067#481—591no—
1068#481—591no—
1069#481—591no—
1070#476—591no—
1071#476—591no—
1072#476—591no—
1073#476—591no—
1074#470—591no—
1075#470—591no—
1076#470—591no—
1077#470—591no—
1078#469—591no—
1079#469—591no—
1080#469—591no—
1081#469—591no—
1082#465—591no—
1083#465—591no—
1084#465—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#465—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#463—591no—
1094#462—591no—
1095#462—591no—
1096#461—591no—
1097#461—591no—
1098#460—591no—
1099#460—591no—
1100#459—591no—
1101#459—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452C2×D5911yescharacteristic, complemented
1113#452C2×D5911yescharacteristic, complemented
1114#450—591no—
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450C2×D5911yescharacteristic
1119#450C2×D5911yescharacteristic, complemented
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449C2×D5911yescharacteristic, complemented
1131#449C2×D5911yescharacteristic, complemented
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447C2×D5911yescharacteristic
1137#447C2×D5911yescharacteristic, complemented
1138#442—591no—
1139#442—591no—
1140#442—591no—
1141#442—591no—
1142C4×SD16—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146#436—591no—
1147#436—591no—
1148#435—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152C8×D4—591no—
1153C8×D4—591no—
1154#432—591no—
1155#431—591no—
1156#417—591no—
1157#417—591no—
1158#417—591no—
1159#417C2×D5911yescharacteristic, complemented
1160C2×#102—591no—
1161C2×#102—591no—
1162C2×#102—591no—
1163C2×#102C2×D5911yescharacteristic, complemented
1164#408—591no—
1165#408—591no—
1166#408—591no—
1167#408C2×D5911yescharacteristic, complemented
1168C59#6168511yescharacteristic, complemented, Sylow
1169H(5,𝔽2)—42no—
1170H(5,𝔽2)—42no—
1171H(5,𝔽2)—2362no—
1172H(5,𝔽2)—2362no—
1173C2×#41—21no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—591no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41—1181no—
1185C2×#41C22×D5911yescharacteristic
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C2×#41C22×D5911yescharacteristic
1189C2×#41C22×D5911yescharacteristic
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4C22×D5911yescharacteristic
1201C22×D4C22×D5911yescharacteristic
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—1181no—
1204AGL(1,ℤ/8)—42no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208#135—42no—
1209#135—2362no—
1210#135—2362no—
1211#135—2362no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—591no—
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×D8—591no—
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8C22×D5911yescharacteristic
1234C2×D8C22×D5911yescharacteristic
1235C2×D8C22×D5911yescharacteristic
1236C2×M16—591no—
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16C22×D5911yescharacteristic
1240C22×C8—591no—
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8C22×D5911yescharacteristic
1244C4⋊Q8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247C4⋊Q8—591no—
1248C4⋊Q8—591no—
1249#127—591no—
1250#127—591no—
1251#127—591no—
1252#127—1181no—
1253#127—1181no—
1254#125—1181no—
1255#125—1181no—
1256#125—1181no—
1257#124—591no—
1258#124—591no—
1259#124—591no—
1260#124—591no—
1261#124—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278C22⋊Q8—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8C22×D5911yescharacteristic
1300C22⋊Q8C22×D5911yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358C4×Q8—591no—
1359C4×Q8—591no—
1360C4×Q8—1181no—
1361C4×D4—591no—
1362C4×D4—591no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380#117—1181no—
1381C2×C4⋊C4—591no—
1382C2×C4⋊C4—591no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—1181no—
1386C2×C4⋊C4—1181no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C42—591no—
1396#106—591no—
1397#106—591no—
1398#106—591no—
1399#106—591no—
1400#106—591no—
1401#106—591no—
1402#106—591no—
1403#106—591no—
1404C4⋊C8—591no—
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103—591no—
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102C22×D5911yescharacteristic
1435#102C22×D5911yescharacteristic
1436#102C22×D5911yescharacteristic
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8C22×D5911yescharacteristic
1449C22⋊C8C22×D5911yescharacteristic
1450C22⋊C8C22×D5911yescharacteristic
1451C22⋊C8C22×D5911yescharacteristic
1452#97—591no—
1453#97—591no—
1454C4×C8—591no—
1455C4×C8—591no—
1456C24—21no—
1457C24—21no—
1458C24—21no—
1459C24—1181no—
1460C24—1181no—
1461#41—22no—
1462#41—22no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—44no—
1472#41—1182no—
1473#41—1182no—
1474#41—4722no—
1475#41—4722no—
1476#41—4722no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2364no—
1490C2×Q8—591no—
1491C2×Q8—591no—
1492C2×Q8—591no—
1493C2×Q8—1181no—
1494C2×Q8—1181no—
1495C2×Q8D4×D5911yescharacteristic
1496C2×Q8C23×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1182no—
1534C2×D4—1182no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—4722no—
1548C2×D4—4722no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2364no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4D4×D5911yescharacteristic
1555C2×D4D4×D5911yescharacteristic
1556C2×D4D4×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C2×D4C23×D5911yescharacteristic
1560C2×D4C23×D5911yescharacteristic
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—591no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—1181no—
1585C22×C4—1181no—
1586C22×C4—4722no—
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589C22×C4C23×D5911yescharacteristic
1590Q16—41no—
1591Q16—2361no—
1592Q16—2361no—
1593Q16—2361no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—1182no—
1599SD16—1182no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605SD16—2361no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—1182no—
1610D8—1182no—
1611D8—2361no—
1612D8—2361no—
1613D8—2361no—
1614M16—41no—
1615M16—2361no—
1616M16—2361no—
1617M16—2361no—
1618C2×C8—41no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—591no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8—2361no—
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C2×C8C23×D5911yescharacteristic
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4C23×D5911yescharacteristic
1662C4⋊C4C23×D5911yescharacteristic
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C42—591no—
1702C42—591no—
1703C42—591no—
1704C42—591no—
1705C42—1181no—
1706C42—1181no—
1707C23—24no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—42no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—81no—
1719C23—81no—
1720C23—591no—
1721C23—591no—
1722C23—1181no—
1723C23—1181no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—2362no—
1729C23—2362no—
1730C23C2×D4×D5911yescharacteristic
1731C23C2×D4×D5911yescharacteristic
1732C23C2×D4×D5911yescharacteristic
1733Q8—21no—
1734Q8—21no—
1735Q8—21no—
1736Q8—21no—
1737Q8—41no—
1738Q8—1181no—
1739Q8—1181no—
1740Q8—1181no—
1741Q8—1181no—
1742Q8—4721no—
1743Q8—2361no—
1744Q8—2362no—
1745D4—24no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—1182no—
1764D4—1182no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—2361no—
1783D4—2362no—
1784D4—2362no—
1785D4—2361no—
1786D4—2361no—
1787D4—2361no—
1788D4—2361no—
1789D4—2362no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4#1427377212yes—
1795D4#1427377212yes—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—591no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—1182no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—2362no—
1838C2×C4—2362no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2361no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2362no—
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C24×D5911yescharacteristic
1849C8—21no—
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—1181no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—22no—
1861C22—22no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—84no—
1879C22—162no—
1880C22—162no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—9442no—
1888C22—9442no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22C22×D4×D5911yescharacteristic
1896C4—21no—
1897C4—21no—
1898C4—21no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—592no—
1904C4—1181no—
1905C4—1181no—
1906C4—1181no—
1907C4—1181no—
1908C4—1181no—
1909C4—2361no—
1910C4—2361no—
1911C4—2361no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4C2×#1427377211yescharacteristic
1916C4C2×#1427377211yescharacteristic
1917C2—41no—
1918C2—41no—
1919C2—41no—
1920C2—42no—
1921C2—42no—
1922C2—81no—
1923C2—81no—
1924C2—4721no—
1925C2—4721no—
1926C2—2361no—
1927C2—2361no—
1928C2#2143772511yescharacteristic
1929C2#577×D5911yescharacteristic
1930C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3012C2
socleC22×C59C23×D4
hypercenter#3012D59
hypocenterC59#61685
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #21438491C2semidirect
2. #21437855C2semidirect
3. #21436408C2semidirect
4. #21436405C2semidirect
5. #21436061C2semidirect
6. #21436058C2semidirect
7. #21436053C2semidirect
8. #21436050C2semidirect
9. #21435916C2semidirect
10. #21435913C2semidirect
11. #21435824C2semidirect
12. #21435820C2semidirect
13. #21435714C2semidirect
14. #21435710C2semidirect
15. #21435625C2semidirect
16. #21435621C2semidirect
17. #21435619C2semidirect
18. #21435615C2semidirect
19. #21435104C2semidirect
20. #21435027C2semidirect
21. #21435008C2semidirect
22. #21435005C2semidirect
23. #21435004C2semidirect
24. #21435002C2semidirect
25. #21434182C2semidirect
26. #21434099C2semidirect
27. #21433401C2semidirect
28. #21433400C2semidirect
29. #21433395C2semidirect
30. #21433169C2semidirect
31. C59×#3012C2semidirect
33. C2×#14273754C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273747C22semidirect
38. C2×#14273746C22semidirect
41. #16838110C22semidirect
42. #16838107C22semidirect
44. #16838071C22semidirect
46. #16838070C22semidirect
47. #16838054C22semidirect
48. #16838053C22semidirect
49. #16838052C22semidirect
53. #16838051C22semidirect
65. #16837982C22semidirect
67. #16837981C22semidirect
70. #16837980C22semidirect
74. #16837954C22semidirect
77. #16837947C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
83. #16837777C22semidirect
84. #16837773C22semidirect
85. #16837763C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837733C22semidirect
90. #16837733C22semidirect
91. #16837732C22semidirect
92. #16837731C22semidirect
93. #16837731C22semidirect
94. #16837730C22semidirect
95. #16837721C22semidirect
96. #16837721C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837690C22semidirect
104. #16837690C22semidirect
105. #16837660C22semidirect
106. #16837659C22semidirect
107. #16837658C22semidirect
108. #16837657C22semidirect
109. #16837655C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837652C22semidirect
113. #16837634C22semidirect
114. #16837633C22semidirect
115. #16837631C22semidirect
116. #16837631C22semidirect
117. #16837630C22semidirect
118. #16837629C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837611C22semidirect
126. #16837610C22semidirect
127. #16837605C22semidirect
128. #16837605C22semidirect
129. #16837601C22semidirect
130. #16837600C22semidirect
131. #16837595C22semidirect
132. #16837595C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
135. #16837565C22semidirect
136. #16837564C22semidirect
137. #16837564C22semidirect
138. #16837564C22semidirect
139. #16837563C22semidirect
140. #16837562C22semidirect
141. #16837561C22semidirect
142. #16837561C22semidirect
143. #16837554C22semidirect
145. #16837553C22semidirect
146. #16837551C22semidirect
147. #16837549C22semidirect
148. #16837549C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
151. #16837547C22semidirect
152. #16837547C22semidirect
153. #16837546C22semidirect
154. #16837545C22semidirect
155. #16837544C22semidirect
156. #16837544C22semidirect
157. #16837537C22semidirect
159. #16837536C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. #16837493C22semidirect
166. #16837493C22semidirect
167. SD16×Dic59C22semidirect
168. SD16×Dic59C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837403C22semidirect
180. #16837400C22semidirect
181. #16837400C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C2×#135×C59C22semidirect
191. C59×#537C22semidirect
192. C59×#452C22semidirect
193. C59×#452C22semidirect
195. C59×#450C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#417C22semidirect
201. C2×#102×C59C22semidirect
202. C59×#408C22semidirect
981. #3012D59semidirect
1002. C2×AGL(1,ℤ/8)C2×D59semidirect
1006. C2×#135C2×D59semidirect
1040. #537C2×D59semidirect
1112. #452C2×D59semidirect
1113. #452C2×D59semidirect
1119. #450C2×D59semidirect
1130. #449C2×D59semidirect
1131. #449C2×D59semidirect
1137. #447C2×D59semidirect
1159. #417C2×D59semidirect
1163. C2×#102C2×D59semidirect
1167. #408C2×D59semidirect
1168. C59#61685semidirect

Maximal subgroups

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

subgroupindex
#214384912
#214378552
#214364082
#214364052
#214360612
#214360582
#214360532
#214360502
#214359162
#214359132
#214358242
#214358202
#214357142
#214357102
#214356252
#214356212
#214356192
#214356152
#214351042
#214350272
#214350082
#214350052
#214350042
#214350022
#214341822
#214340992
#214334012
#214334002
#214333952
#214331692
C59×#30122
#6168559