Finite Group Databasebeta

← #29484120

Subgroups — #29484120

Order 15104.

1842 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438616C211yesmaximal, characteristic, complemented
2#21438075C211yesmaximal, characteristic, complemented
3#21437151C211yesmaximal, characteristic, complemented
4#21437149C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436363C211yesmaximal, characteristic, complemented
7#21436361C211yesmaximal, characteristic, complemented
8#21436176C211yesmaximal, characteristic, complemented
9#21436174C211yesmaximal, characteristic, complemented
10#21436116C211yesmaximal, characteristic, complemented
11#21436114C211yesmaximal, characteristic, complemented
12#21435697C211yesmaximal, characteristic, complemented
13#21435691C211yesmaximal, characteristic, complemented
14#21435657C211yesmaximal, characteristic, complemented
15#21435653C211yesmaximal, characteristic, complemented
16#21435623C211yesmaximal, characteristic, complemented
17#21435616C211yesmaximal, characteristic, complemented
18#21435528C211yesmaximal, characteristic, complemented
19#21435526C211yesmaximal, characteristic, complemented
20#21435485C211yesmaximal, characteristic, complemented
21#21435171C211yesmaximal, characteristic, complemented
22#21435169C211yesmaximal, characteristic, complemented
23#21435100C211yesmaximal, characteristic, complemented
24#21434362C211yesmaximal, characteristic, complemented
25#21434354C211yesmaximal, characteristic, complemented
26#21434243C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433630C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3370C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273746C2211yescharacteristic, complemented
38#16838149—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41#16838131C2211yescharacteristic, complemented
42#16838113C2211yescharacteristic, complemented
43#16838100—21no—
44#16838094—21no—
45#16838094—21no—
46#16838094—21no—
47#16838090C2211yescharacteristic, complemented
48#16838090C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic
50#16838060C2211yescharacteristic
51#16838056C2211yescharacteristic, complemented
52#16838056C2211yescharacteristic, complemented
53#16838056C2211yescharacteristic, complemented
54#16838048—21no—
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838044—21no—
58D4×D236C2211yescharacteristic
59#16838037C2211yescharacteristic
60#16838024C2211yescharacteristic
61#16838017C2211yescharacteristic
62#16838015C2211yescharacteristic, complemented
63#16838015C2211yescharacteristic, complemented
64#16838001—21no—
65#16838001—21no—
66#16837988—21no—
67#16837986—21no—
68#16837985—21no—
69#16837970C2211yescharacteristic
70#16837965C2211yescharacteristic
71#16837963—21no—
72#16837957C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic
74#16837939C2211yescharacteristic
75#16837938—21no—
76C2×#14273718—21no—
77#124×D59C2211yescharacteristic
78#16837881C2211yescharacteristic, complemented
79#16837881C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837797C2211yescharacteristic, complemented
83#16837796C2211yescharacteristic, complemented
84#16837796C2211yescharacteristic, complemented
85#16837775C2211yescharacteristic
86#16837774C2211yescharacteristic
87#16837768C2211yescharacteristic
88#16837764C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic
95#16837714C2211yescharacteristic
96#16837706C2211yescharacteristic, complemented
97#16837699C2211yescharacteristic, complemented
98#16837696C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837686C2211yescharacteristic, complemented
101#16837680C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837649C2211yescharacteristic
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic
114#16837630C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837613C2211yescharacteristic, complemented
130#16837612C2211yescharacteristic, complemented
131#16837608C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837603C2211yescharacteristic
136#16837601C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837599C2211yescharacteristic
140#16837597C2211yescharacteristic
141#16837595C2211yescharacteristic, complemented
142#16837567C2211yescharacteristic, complemented
143#16837567C2211yescharacteristic, complemented
144#16837565C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837561C2211yescharacteristic, complemented
148#16837559C2211yescharacteristic, complemented
149#16837559C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic
151#16837554C2211yescharacteristic
152#16837554C2211yescharacteristic, complemented
153#16837554C2211yescharacteristic, complemented
154#16837554C2211yescharacteristic, complemented
155#16837554C2211yescharacteristic, complemented
156#16837548C2211yescharacteristic
157#16837548C2211yescharacteristic, complemented
158#16837544C2211yescharacteristic
159#16837544C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167C4×Dic236C2211yescharacteristic, complemented
168C4×#11745672C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic
189C59×#554C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic
191C59×#489C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#474C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×D8×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273756—42no—
216#14273751—42no—
217#14273751—42no—
218#14273751—42no—
219#14273748—42no—
220#14273746—42no—
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×Dic236C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745672C2311yescharacteristic
226C2×#11745672C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273726C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722D411yescharacteristic
261#14273722D411yescharacteristic
262#14273721—21no—
263#14273720—21no—
264#14273718—21no—
265#14273718—21no—
266#14273718—21no—
267#14273718—21no—
268#14273718—21no—
269#14273718—21no—
270#14273718—21no—
271#14273718—21no—
272#14273718—21no—
273#14273718—21no—
274#14273718—21no—
275#14273718D411yescharacteristic
276#14273716—21no—
277#14273716D411yescharacteristic
278#14273716C2311yescharacteristic
279#14273715—21no—
280#14273715—21no—
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273714C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712D411yescharacteristic
295#14273712D411yescharacteristic
296#14273711—21no—
297#14273711—21no—
298#14273711—21no—
299#14273711—21no—
300#14273711—21no—
301#14273711—21no—
302#14273711—21no—
303#14273710—21no—
304#14273709—21no—
305#14273707—21no—
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273706—21no—
314#14273705—21no—
315#14273704—21no—
316#14273703—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703D411yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702D411yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701—21no—
329#14273701—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273699—21no—
336#14273699—21no—
337#14273698—21no—
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59—21no—
351Q8×Dic59—21no—
352C4×Dic118C2311yescharacteristic
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689—21no—
367#14273689—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273684C2311yescharacteristic
381#14273684C2311yescharacteristic
382#14273683—21no—
383#14273683—21no—
384#14273683—21no—
385C2×C4⋊Dic59—21no—
386C2×C4⋊Dic59—21no—
387C2×C4⋊Dic59—21no—
388C2×Dic59⋊C4—21no—
389C2×Dic59⋊C4—21no—
390C4⋊C4×D59C2311yescharacteristic
391C4⋊C4×D59C2311yescharacteristic
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C2×C4×Dic59—21no—
397C42×D59C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445#127×C59C2311yescharacteristic
446#125×C59C2311yescharacteristic
447#125×C59C2311yescharacteristic
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#124×C59C2311yescharacteristic
451#123×C59—21no—
452#123×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59—21no—
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516#11745689—41no—
517#11745689—41no—
518Q8×D59—41no—
519Q8×D59—41no—
520#11745687—22no—
521#11745687—22no—
522#11745687—22no—
523#11745687—41no—
524#11745687—41no—
525#11745687—41no—
526#11745687—41no—
527#11745687—41no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—82no—
535#11745685—82no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—82no—
542C2×D236C2×D411yescharacteristic
543C2×D236C2×D411yescharacteristic
544C2×D236C2×D411yescharacteristic
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×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564SD16×C59—22no—
565D8×C59—22no—
566D8×C59—22no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C42×C59—21no—
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602#11745672—41no—
603#11745672—41no—
604#11745672—41no—
605#11745670—22no—
606#11745670—41no—
607#11745670—41no—
608#11745670—41no—
609#11745670—41no—
610#11745670—41no—
611#11745670—41no—
612#11745669—22no—
613#11745669—22no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691Dic236—41no—
692Dic236—41no—
693Dic236—41no—
694#11745660—41no—
695#11745660—41no—
696#11745660—41no—
697#11745660—41no—
698#11745660—41no—
699#11745660—41no—
700#11745659—41no—
701#11745659—41no—
702#11745659—41no—
703#11745659—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—41no—
726Q8×C59—81no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—81no—
733D4×C59—81no—
734D4×C59H(5,𝔽2)12yes—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—42no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—42no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—41no—
784D236—41no—
785D236—41no—
786D236—42no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—21no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62089—591nomaximal, Sylow
824C22×C59—22no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370D5911yescharacteristic, complemented
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314—591no—
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272—591no—
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222—591no—
899#3215—591no—
900#3124—591no—
901#3124—591no—
902#3115—591no—
903#3045—591no—
904#3045—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—42no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—41no—
915D59—41no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C2×#135—591no—
923C2×#135—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559C2×D5911yescharacteristic
928#557—591no—
929#554—591no—
930#554C2×D5911yescharacteristic, complemented
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#541—591no—
951#541—591no—
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#492—591no—
974#492—591no—
975#490—591no—
976#490C2×D5911yescharacteristic
977#489—591no—
978#489C2×D5911yescharacteristic, complemented
979#488—591no—
980#488C2×D5911yescharacteristic, complemented
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#480—591no—
986#480—591no—
987#479—591no—
988#479C2×D5911yescharacteristic, complemented
989#478—591no—
990#478C2×D5911yescharacteristic, complemented
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#474C2×D5911yescharacteristic, complemented
997#470—591no—
998#470—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#465—591no—
1008#465—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463C2×D5911yescharacteristic, complemented
1024#463C2×D5911yescharacteristic, complemented
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#459C2×D5911yescharacteristic
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450—591no—
1052#450—591no—
1053#449—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#446—591no—
1058#446C2×D5911yescharacteristic, complemented
1059#442—591no—
1060#442C2×D5911yescharacteristic, complemented
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic, complemented
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×D8—591no—
1070C4×D8C2×D5911yescharacteristic, complemented
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#417—591no—
1086#417—591no—
1087C2×#102—591no—
1088C2×#102—591no—
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41—1181no—
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106#135—2362no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127—591no—
1145#127C22×D5911yescharacteristic
1146#126—591no—
1147#126—591no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—591no—
1157#125—1181no—
1158#125—1181no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125C22×D5911yescharacteristic
1169#125C22×D5911yescharacteristic
1170#124—21no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124C22×D5911yescharacteristic
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—591no—
1189#123—591no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
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—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#120—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—1181no—
1260C4×Q8—1181no—
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—21no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4C22×D5911yescharacteristic
1282C4×D4C22×D5911yescharacteristic
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106C22×D5911yescharacteristic
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102C22×D5911yescharacteristic
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8—591no—
1365#97—591no—
1366#97—591no—
1367#97C22×D5911yescharacteristic
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—1182no—
1376#41—1182no—
1377#41—4722no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—21no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8D4×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—4722no—
1420C2×D4—4722no—
1421C2×D4—2361no—
1422C2×D4—2361no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4C23×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451Q16—2361no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—22no—
1458SD16—1182no—
1459SD16—2361no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—22no—
1472D8—22no—
1473D8—1182no—
1474D8—1182no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4D4×D5911yescharacteristic
1529C4⋊C4D4×D5911yescharacteristic
1530C4⋊C4D4×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C42—21no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—591no—
1597C23—591no—
1598C23—591no—
1599C23—1181no—
1600C23—1181no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—4721no—
1609C23—2362no—
1610Q8—21no—
1611Q8—21no—
1612Q8—41no—
1613Q8—81no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—4721no—
1623Q8—4721no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—81no—
1630D4—81no—
1631D4—1181no—
1632D4—1181no—
1633D4—1181no—
1634D4—1181no—
1635D4—4721no—
1636D4—4721no—
1637D4—4721no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—2361no—
1647D4—2361no—
1648D4—2361no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377312yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—591no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—2361no—
1691C2×C4—2361no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1181no—
1727C22—1181no—
1728C22—9442no—
1729C22—9442no—
1730C22—9442no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377311yescharacteristic
1761C4#1683823911yescharacteristic
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143776211yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3370C2
socleC22×C59C23×D4
hypercenter#3370D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #21438616C2semidirect
2. #21438075C2semidirect
3. #21437151C2semidirect
4. #21437149C2semidirect
5. #21436849C2semidirect
6. #21436363C2semidirect
7. #21436361C2semidirect
8. #21436176C2semidirect
9. #21436174C2semidirect
10. #21436116C2semidirect
11. #21436114C2semidirect
12. #21435697C2semidirect
13. #21435691C2semidirect
14. #21435657C2semidirect
15. #21435653C2semidirect
16. #21435623C2semidirect
17. #21435616C2semidirect
18. #21435528C2semidirect
19. #21435526C2semidirect
20. #21435485C2semidirect
21. #21435171C2semidirect
22. #21435169C2semidirect
23. #21435100C2semidirect
24. #21434362C2semidirect
25. #21434354C2semidirect
26. #21434243C2semidirect
27. #21433636C2semidirect
28. #21433630C2semidirect
29. #21433585C2semidirect
30. #21433265C2semidirect
31. C59×#3370C2semidirect
32. C2×#14273756C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273746C22semidirect
41. #16838131C22semidirect
42. #16838113C22semidirect
47. #16838090C22semidirect
48. #16838090C22semidirect
51. #16838056C22semidirect
52. #16838056C22semidirect
53. #16838056C22semidirect
62. #16838015C22semidirect
63. #16838015C22semidirect
72. #16837957C22semidirect
78. #16837881C22semidirect
79. #16837881C22semidirect
80. C4×#11745687C22semidirect
81. #16837797C22semidirect
82. #16837797C22semidirect
83. #16837796C22semidirect
84. #16837796C22semidirect
88. #16837764C22semidirect
89. #16837759C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837728C22semidirect
93. #16837724C22semidirect
96. #16837706C22semidirect
97. #16837699C22semidirect
98. #16837696C22semidirect
99. #16837696C22semidirect
100. #16837686C22semidirect
101. #16837680C22semidirect
102. #16837679C22semidirect
103. #16837661C22semidirect
104. #16837659C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837644C22semidirect
112. #16837642C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837625C22semidirect
120. #16837623C22semidirect
121. #16837623C22semidirect
122. #16837623C22semidirect
123. #16837621C22semidirect
124. #16837621C22semidirect
125. #16837619C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837615C22semidirect
129. #16837613C22semidirect
130. #16837612C22semidirect
131. #16837608C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837607C22semidirect
136. #16837601C22semidirect
137. #16837601C22semidirect
138. #16837601C22semidirect
141. #16837595C22semidirect
142. #16837567C22semidirect
143. #16837567C22semidirect
144. #16837565C22semidirect
145. #16837565C22semidirect
146. #16837565C22semidirect
147. #16837561C22semidirect
148. #16837559C22semidirect
149. #16837559C22semidirect
152. #16837554C22semidirect
153. #16837554C22semidirect
154. #16837554C22semidirect
155. #16837554C22semidirect
157. #16837548C22semidirect
159. #16837544C22semidirect
160. #16837533C22semidirect
161. #16837512C22semidirect
162. #16837504C22semidirect
163. #16837504C22semidirect
164. #16837502C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
167. C4×Dic236C22semidirect
168. C4×#11745672C22semidirect
169. C4×#11745669C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837464C22semidirect
177. #16837461C22semidirect
178. #16837457C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
186. #102×D59C22semidirect
187. #102×D59C22semidirect
189. C59×#554C22semidirect
191. C59×#489C22semidirect
192. C59×#488C22semidirect
193. C59×#479C22semidirect
194. C59×#478C22semidirect
195. C59×#474C22semidirect
196. C59×#463C22semidirect
197. C59×#463C22semidirect
199. C59×#446C22semidirect
200. C59×#442C22semidirect
201. C59×#440C22semidirect
202. C4×D8×C59C22semidirect
881. #3370D59semidirect
930. #554C2×D59semidirect
978. #489C2×D59semidirect
980. #488C2×D59semidirect
988. #479C2×D59semidirect
990. #478C2×D59semidirect
996. #474C2×D59semidirect
1023. #463C2×D59semidirect
1024. #463C2×D59semidirect
1058. #446C2×D59semidirect
1060. #442C2×D59semidirect
1066. #440C2×D59semidirect
1070. C4×D8C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386162
#214380752
#214371512
#214371492
#214368492
#214363632
#214363612
#214361762
#214361742
#214361162
#214361142
#214356972
#214356912
#214356572
#214356532
#214356232
#214356162
#214355282
#214355262
#214354852
#214351712
#214351692
#214351002
#214343622
#214343542
#214342432
#214336362
#214336302
#214335852
#214332652
C59×#33702
#6208959