Finite Group Databasebeta

← #29481226

Subgroups — #29481226

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438045C211yesmaximal, characteristic, complemented
2#21437704C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437155C211yesmaximal, characteristic, complemented
5#21436930C211yesmaximal, characteristic, complemented
6#21436856C211yesmaximal, characteristic, complemented
7#21436355C211yesmaximal, characteristic, complemented
8#21436303C211yesmaximal, characteristic, complemented
9#21436262C211yesmaximal, characteristic, complemented
10#21436232C211yesmaximal, characteristic, complemented
11#21436204C211yesmaximal, characteristic, complemented
12#21436174C211yesmaximal, characteristic, complemented
13#21435734C211yesmaximal, characteristic, complemented
14#21435704C211yesmaximal, characteristic, complemented
15#21435613C211yesmaximal, characteristic, complemented
16#21435586C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435571C211yesmaximal, characteristic, complemented
19#21435496C211yesmaximal, characteristic, complemented
20#21435447C211yesmaximal, characteristic, complemented
21#21435132C211yesmaximal, characteristic, complemented
22#21435079C211yesmaximal, characteristic, complemented
23#21435059C211yesmaximal, characteristic, complemented
24#21434239C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434148C211yesmaximal, characteristic, complemented
27#21433591C211yesmaximal, characteristic, complemented
28#21433558C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433210C211yesmaximal, characteristic, complemented
31C59×#3251C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838138C2211yescharacteristic, complemented
39#16838135C2211yescharacteristic, complemented
40#16838124C2211yescharacteristic, complemented
41#16838115—21no—
42#16838113C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838099—21no—
45#16838099C2211yescharacteristic
46#16838099C2211yescharacteristic, complemented
47#16838082—21no—
48#16838082—21no—
49#16838076—21no—
50#16838075—21no—
51#16838065C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic
53#16838058C2211yescharacteristic, complemented
54#16838049—21no—
55#16838049C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838047C2211yescharacteristic
58#16838044—21no—
59#16838043C2211yescharacteristic, complemented
60#16838037C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838018—21no—
63#16837991—21no—
64#16837985—21no—
65#16837951C2211yescharacteristic, complemented
66#16837937C2211yescharacteristic, complemented
67#16837937C2211yescharacteristic, complemented
68#16837934—21no—
69#16837934C2211yescharacteristic, complemented
70#16837934C2211yescharacteristic, complemented
71C2×#14273715C2211yescharacteristic, complemented
72#124×D59C2211yescharacteristic, complemented
73#16837909—21no—
74#16837909—21no—
75#16837874—21no—
76C4×#11745685C2211yescharacteristic
77C4×#11745685C2211yescharacteristic, complemented
78C4×D4×D59—21no—
79C4×D4×D59C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837789C2211yescharacteristic
84#16837789C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837764C2211yescharacteristic, complemented
90#16837764C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837755C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837706C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837699C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic
111#16837632C2211yescharacteristic, complemented
112#16837630C2211yescharacteristic, complemented
113#16837625C2211yescharacteristic, complemented
114#16837625C2211yescharacteristic, complemented
115#16837625C2211yescharacteristic, complemented
116#16837625C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic
123#16837618C2211yescharacteristic
124#16837618C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837616C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic
138#16837595C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837565C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837559C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic
148#16837544C2211yescharacteristic, complemented
149#16837540C2211yescharacteristic, complemented
150#16837540C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic
154#16837535C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837531C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic
160#16837512C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837454C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#478C2211yescharacteristic, complemented
191C59×#478C2211yescharacteristic, complemented
192C59×#475C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic, complemented
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#463C2211yescharacteristic, complemented
199C59×#463C2211yescharacteristic, complemented
200C59×#460C2211yescharacteristic, complemented
201C59×#459C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C22×C4×D59—21no—
216C22×C4×D59—21no—
217#14273760—42no—
218#14273755—42no—
219#14273754—42no—
220#14273751—42no—
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—42no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273726—21no—
248#14273725C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273721—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273718—21no—
259#14273718C2311yescharacteristic
260#14273718C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273715—21no—
263#14273715—21no—
264#14273715—21no—
265#14273715C2311yescharacteristic
266#14273715C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273715C2311yescharacteristic
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273711—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273707—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273705—21no—
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703—21no—
304#14273703—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273698—21no—
315#14273698—21no—
316#14273698—21no—
317#14273698—21no—
318#14273698—21no—
319#14273698C2311yescharacteristic
320#14273698C2311yescharacteristic
321#14273697—21no—
322#14273697—21no—
323#14273697—21no—
324#14273695—21no—
325#14273695—21no—
326#14273695—21no—
327#14273695—21no—
328#14273695—21no—
329C4×Dic118D411yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×Dic118C2311yescharacteristic
333#14273692C2311yescharacteristic
334#14273692C2311yescharacteristic
335C4×D236—21no—
336C4×D236D411yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340D4×Dic59—21no—
341D4×Dic59—21no—
342D4×Dic59C2311yescharacteristic
343D4×Dic59C2311yescharacteristic
344#14273689—21no—
345#14273689—21no—
346#14273689—21no—
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350#14273689C2311yescharacteristic
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59D411yescharacteristic
359C4×C22⋊D59D411yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369#14273686—21no—
370#14273686—21no—
371#14273686D411yescharacteristic
372#14273686C2311yescharacteristic
373#14273685—21no—
374#14273685—21no—
375#14273684—21no—
376#14273684—21no—
377#14273684D411yescharacteristic
378#14273684D411yescharacteristic
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393C42×D59C2311yescharacteristic
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59—21no—
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#127×C59C2311yescharacteristic
450#126×C59—21no—
451#125×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456#121×C59—21no—
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467C2×C42×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—82no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520#11745689—41no—
521#11745689—41no—
522Q8×D59—41no—
523Q8×D59—41no—
524#11745687—41no—
525#11745687—41no—
526D4×D59—22no—
527D4×D59—22no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—44no—
533D4×D59—44no—
534#11745685—22no—
535#11745685—41no—
536#11745685—42no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
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—21no—
557C2×C4×D59—21no—
558C2×C4×D59—82no—
559C2×C4×D59—82no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118—41no—
569C2×Dic118—41no—
570C2×Dic118C2×D411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—41no—
575SD16×C59—41no—
576D8×C59—41no—
577D8×C59—41no—
578M16×C59—41no—
579M16×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C42×C59—21no—
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745672—41no—
621#11745671—22no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745670—41no—
626#11745670—41no—
627#11745669—22no—
628#11745669—41no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—41no—
698Dic236—41no—
699D472—22no—
700D472—22no—
701#11745660—22no—
702#11745660—22no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—81no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—41no—
752C2×C4×C59—41no—
753C2×C4×C59—42no—
754C2×C4×C59—42no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C2511yescharacteristic
762C22⋊D59—22no—
763C22⋊D59—41no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—81no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788D236—22no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—42no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236H(5,𝔽2)12yes—
799C4×D59—22no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—41no—
805C4×D59—41no—
806C4×D59—41no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—41no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—22no—
854C2×D59—21no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251D5911yescharacteristic, complemented
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—41no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57511yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—42no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532C2×D5911yescharacteristic, complemented
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—1181no—
974#529C2×D5911yescharacteristic, complemented
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478C2×D5911yescharacteristic, complemented
1010#478C2×D5911yescharacteristic, complemented
1011#475C2×D5911yescharacteristic, complemented
1012#474C2×D5911yescharacteristic, complemented
1013#470—591no—
1014#469—591no—
1015#469C2×D5911yescharacteristic, complemented
1016#469C2×D5911yescharacteristic, complemented
1017#468—591no—
1018#468—591no—
1019#468C2×D5911yescharacteristic, complemented
1020#468C2×D5911yescharacteristic, complemented
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460C2×D5911yescharacteristic, complemented
1052#459—591no—
1053#459—591no—
1054#459C2×D5911yescharacteristic, complemented
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423C2×D5911yescharacteristic, complemented
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—21no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—591no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16C22×D5911yescharacteristic
1154C2×M16C22×D5911yescharacteristic
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—1181no—
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127C22×D5911yescharacteristic
1162#126—21no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—1181no—
1174#125C22×D5911yescharacteristic
1175#124—21no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—591no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—1181no—
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8C22×D5911yescharacteristic
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102C22×D5911yescharacteristic
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—82no—
1392#41—1182no—
1393#41—2361no—
1394#41—2362no—
1395#41—2361no—
1396#41—2361no—
1397#41—2361no—
1398#41—2361no—
1399C2×Q8—21no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—591no—
1403C2×Q8—591no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2364no—
1444C2×D4—2364no—
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—4722no—
1473C22×C4—4722no—
1474C22×C4D4×D5911yescharacteristic
1475C22×C4D4×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—41no—
1481SD16—41no—
1482SD16—1182no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—41no—
1493D8—41no—
1494D8—1182no—
1495D8—1182no—
1496D8—1182no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—41no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
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—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—21no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—1181no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42D4×D5911yescharacteristic
1609C42D4×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—591no—
1616C23—591no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—2362no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—81no—
1636Q8—1181no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—42no—
1652D4—42no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—592no—
1657D4—1182no—
1658D4—1182no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—2362no—
1671D4—2361no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—1182no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—2361no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—592no—
1751C22—1181no—
1752C22—1181no—
1753C22—1181no—
1754C22—1182no—
1755C22—1181no—
1756C22—1181no—
1757C22—9442no—
1758C22—9442no—
1759C22—4724no—
1760C22—4724no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823911yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—4721no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776011yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3251C2
socleC22×C59C23×D4
hypercenter#3251D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3251

Complements

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

NH ≅ G/Ntype
1. #21438045C2semidirect
2. #21437704C2semidirect
3. #21437179C2semidirect
4. #21437155C2semidirect
5. #21436930C2semidirect
6. #21436856C2semidirect
7. #21436355C2semidirect
8. #21436303C2semidirect
9. #21436262C2semidirect
10. #21436232C2semidirect
11. #21436204C2semidirect
12. #21436174C2semidirect
13. #21435734C2semidirect
14. #21435704C2semidirect
15. #21435613C2semidirect
16. #21435586C2semidirect
17. #21435583C2semidirect
18. #21435571C2semidirect
19. #21435496C2semidirect
20. #21435447C2semidirect
21. #21435132C2semidirect
22. #21435079C2semidirect
23. #21435059C2semidirect
24. #21434239C2semidirect
25. #21434199C2semidirect
26. #21434148C2semidirect
27. #21433591C2semidirect
28. #21433558C2semidirect
29. #463×D59C2semidirect
30. #21433210C2semidirect
31. C59×#3251C2semidirect
32. C2×#14273760C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838138C22semidirect
39. #16838135C22semidirect
40. #16838124C22semidirect
42. #16838113C22semidirect
43. #16838113C22semidirect
46. #16838099C22semidirect
51. #16838065C22semidirect
53. #16838058C22semidirect
56. #16838049C22semidirect
59. #16838043C22semidirect
60. #16838037C22semidirect
61. #16838036C22semidirect
65. #16837951C22semidirect
66. #16837937C22semidirect
67. #16837937C22semidirect
69. #16837934C22semidirect
70. #16837934C22semidirect
71. C2×#14273715C22semidirect
72. #124×D59C22semidirect
77. C4×#11745685C22semidirect
79. C4×D4×D59C22semidirect
80. C4×D4×D59C22semidirect
81. #16837793C22semidirect
82. #16837790C22semidirect
84. #16837789C22semidirect
85. #16837785C22semidirect
86. #16837783C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837764C22semidirect
90. #16837764C22semidirect
91. #16837758C22semidirect
92. #16837755C22semidirect
93. #16837740C22semidirect
94. #16837739C22semidirect
95. #16837734C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837717C22semidirect
99. #16837712C22semidirect
100. #16837708C22semidirect
101. #16837706C22semidirect
102. #16837705C22semidirect
103. #16837701C22semidirect
104. #16837699C22semidirect
105. #16837661C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837644C22semidirect
111. #16837632C22semidirect
112. #16837630C22semidirect
113. #16837625C22semidirect
114. #16837625C22semidirect
115. #16837625C22semidirect
116. #16837625C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837621C22semidirect
121. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
129. #16837617C22semidirect
130. #16837616C22semidirect
131. #16837616C22semidirect
132. #16837616C22semidirect
133. #16837615C22semidirect
134. #16837614C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
138. #16837595C22semidirect
139. #16837567C22semidirect
140. #16837565C22semidirect
141. #16837562C22semidirect
142. #16837559C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837554C22semidirect
146. #16837546C22semidirect
148. #16837544C22semidirect
149. #16837540C22semidirect
150. #16837540C22semidirect
151. #16837539C22semidirect
154. #16837535C22semidirect
155. #16837535C22semidirect
157. #16837531C22semidirect
158. #16837531C22semidirect
160. #16837512C22semidirect
161. #16837511C22semidirect
162. #16837507C22semidirect
163. #16837502C22semidirect
164. #16837501C22semidirect
165. #16837500C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. #16837489C22semidirect
169. #16837484C22semidirect
170. #16837482C22semidirect
171. #16837478C22semidirect
172. #16837478C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837459C22semidirect
178. #16837458C22semidirect
179. #16837454C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837412C22semidirect
183. #16837408C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#532C22semidirect
189. C59×#529C22semidirect
190. C59×#478C22semidirect
191. C59×#478C22semidirect
192. C59×#475C22semidirect
193. C59×#474C22semidirect
194. C59×#469C22semidirect
195. C59×#469C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C59×#463C22semidirect
199. C59×#463C22semidirect
200. C59×#460C22semidirect
201. C59×#459C22semidirect
202. C59×#423C22semidirect
910. #3251D59semidirect
968. #532C2×D59semidirect
974. #529C2×D59semidirect
1009. #478C2×D59semidirect
1010. #478C2×D59semidirect
1011. #475C2×D59semidirect
1012. #474C2×D59semidirect
1015. #469C2×D59semidirect
1016. #469C2×D59semidirect
1019. #468C2×D59semidirect
1020. #468C2×D59semidirect
1047. #463C2×D59semidirect
1048. #463C2×D59semidirect
1051. #460C2×D59semidirect
1054. #459C2×D59semidirect
1097. #423C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380452
#214377042
#214371792
#214371552
#214369302
#214368562
#214363552
#214363032
#214362622
#214362322
#214362042
#214361742
#214357342
#214357042
#214356132
#214355862
#214355832
#214355712
#214354962
#214354472
#214351322
#214350792
#214350592
#214342392
#214341992
#214341482
#214335912
#214335582
#463×D592
#214332102
C59×#32512
#6197159