Finite Group Databasebeta

← #29474158

Subgroups — #29474158

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437932C211yesmaximal, characteristic, complemented
2#21437585C211yesmaximal, characteristic, complemented
3#21436369C211yesmaximal, characteristic, complemented
4#21436319C211yesmaximal, characteristic, complemented
5#21436271C211yesmaximal, characteristic, complemented
6#21436243C211yesmaximal, characteristic, complemented
7#21436226C211yesmaximal, characteristic, complemented
8#21436198C211yesmaximal, characteristic, complemented
9#21435998C211yesmaximal, characteristic, complemented
10#21435948C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435722C211yesmaximal, characteristic, complemented
13#21435705C211yesmaximal, characteristic, complemented
14#21435666C211yesmaximal, characteristic, complemented
15#21435636C211yesmaximal, characteristic, complemented
16#21435625C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435138C211yesmaximal, characteristic, complemented
19#21435067C211yesmaximal, characteristic, complemented
20#21434937C211yesmaximal, characteristic, complemented
21#21434923C211yesmaximal, characteristic, complemented
22#21434890C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434204C211yesmaximal, characteristic, complemented
25#21434120C211yesmaximal, characteristic, complemented
26#21433347C211yesmaximal, characteristic, complemented
27#21433339C211yesmaximal, characteristic, complemented
28#21433310C211yesmaximal, characteristic, complemented
29C2×#16837563C211yesmaximal, characteristic, complemented
30#21433129C211yesmaximal, characteristic, complemented
31C59×#3285C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40#16838104C2211yescharacteristic
41#16838101—21no—
42#16838098C2211yescharacteristic, complemented
43#16838095—21no—
44#16838093C2211yescharacteristic, complemented
45#16838086C2211yescharacteristic, complemented
46#16838082—21no—
47#16838079—21no—
48#16838071C2211yescharacteristic
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic
51#16838063C2211yescharacteristic
52#16838054—21no—
53#16838054C2211yescharacteristic
54#16838048—21no—
55#16838048C2211yescharacteristic, complemented
56#16838045—21no—
57#16838045C2211yescharacteristic
58#16838045C2211yescharacteristic, complemented
59#16838040C2211yescharacteristic, complemented
60#16838036—21no—
61#16838036C2211yescharacteristic, complemented
62#16837998—21no—
63#16837986—21no—
64#16837960—21no—
65#16837951—21no—
66#16837951C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic, complemented
68#16837931C2211yescharacteristic, complemented
69#16837915—21no—
70#16837915C2211yescharacteristic, complemented
71#16837915C2211yescharacteristic, complemented
72#16837912—21no—
73#16837912C2211yescharacteristic
74#16837909C2211yescharacteristic, complemented
75C2×#14273703C2211yescharacteristic, complemented
76#121×D59C2211yescharacteristic, complemented
77#16837874—21no—
78C4×#11745689C2211yescharacteristic, complemented
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837718C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837558C2211yescharacteristic, complemented
141#16837556C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic
145#16837550C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837546C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837541C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837509C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164C4×#11745671C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837473C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173D4×C59⋊C8C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182C2×#14273651C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic, complemented
189C22×Q16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#548C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#467C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C4×Q16×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—42no—
206C2×#11745689—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232#14273754—42no—
233#14273754—42no—
234#14273754—42no—
235#14273747—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745671—42no—
241C2×#11745671C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×D472C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C22×C59⋊C8C2311yescharacteristic
258#14273725—21no—
259#14273725C2311yescharacteristic
260#14273723—21no—
261#14273723C2311yescharacteristic
262#14273722—21no—
263#14273722—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273717—21no—
271#14273717—21no—
272#14273716—21no—
273#14273716C2311yescharacteristic
274#14273715—21no—
275#14273715C2311yescharacteristic
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273711—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706C2311yescharacteristic
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×D236—21no—
343C4×D236—21no—
344C4×D236—21no—
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59D411yescharacteristic
351D4×Dic59C2311yescharacteristic
352#14273689—21no—
353#14273689—21no—
354#14273689—21no—
355#14273689D411yescharacteristic
356#14273689C2311yescharacteristic
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
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(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4D411yescharacteristic
372(C22⋊D59)⋊C4D411yescharacteristic
373#14273686C2311yescharacteristic
374#14273685—21no—
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273684—21no—
379#14273684—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59D411yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C4×C59⋊C8C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#135×C59—42no—
450C2×Q16×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C22×C8×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462#124×C59—21no—
463#124×C59—21no—
464#124×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470#121×C59—21no—
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—21no—
501C2×Q8×C59—22no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59—41no—
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59C2×D411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745689—22no—
542#11745689—22no—
543#11745689—22no—
544#11745689—22no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745689—44no—
550#11745689—41no—
551#11745689—41no—
552#11745689—44no—
553Q8×D59—22no—
554Q8×D59—41no—
555#11745687—41no—
556#11745687—41no—
557#11745687—44no—
558D4×D59—22no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—44no—
563D4×D59—42no—
564D4×D59—44no—
565D4×D59—44no—
566#11745685—22no—
567#11745685—41no—
568#11745685—44no—
569C2×D236—21no—
570C2×D236—22no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—41no—
579C2×D236—44no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—41no—
598C2×C4×D59—41no—
599C2×C4×D59—44no—
600C2×C4×D59—44no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2×D411yescharacteristic
606C2×C4×D59C2×D411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×C4×D59C2411yescharacteristic
609C2×C4×D59C2411yescharacteristic
610C2×Dic118—21no—
611C2×Dic118C2411yescharacteristic
612Q16×C59—22no—
613Q16×C59—22no—
614Q16×C59—41no—
615Q16×C59—41no—
616SD16×C59—22no—
617SD16×C59—41no—
618SD16×C59—41no—
619SD16×C59—41no—
620D8×C59—41no—
621C2×C8×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—41no—
656#11745672—41no—
657#11745671—22no—
658#11745671—22no—
659#11745671—22no—
660#11745671—41no—
661#11745671—41no—
662#11745671—41no—
663#11745670—41no—
664#11745669—22no—
665#11745669—41no—
666#11745669—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59C2×D411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—22no—
732D472—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737#11745659—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—22no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—42no—
771Q8×C59—81no—
772Q8×C59H(5,𝔽2)12yes—
773D4×C59—22no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—81no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—42no—
793C2×C4×C59—42no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C2511yescharacteristic
801C22⋊D59—22no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—41no—
822C2×Dic59—42no—
823C2×Dic59—81no—
824C2×Dic59—81no—
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830D236—24no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—41no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236—42no—
843D236—81no—
844D236H(5,𝔽2)12yes—
845C4×D59—24no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—41no—
853C4×D59—41no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—41no—
857C4×D59—41no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868Dic118—21no—
869Dic118—21no—
870Dic118—42no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59#57512yes—
892C22×C59C23×D411yescharacteristic
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—22no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—82no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—84no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—22no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285D5911yescharacteristic, complemented
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191—591no—
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006—591no—
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—81no—
972C2×C59—81no—
973C2×C59#348411yescharacteristic
974C2×C59C2×#57511yescharacteristic
975C2×C59#358411yescharacteristic
976D59—41no—
977D59—41no—
978D59—41no—
979D59—42no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135C2×D5911yescharacteristic, complemented
990C22×Q16C2×D5911yescharacteristic, complemented
991C22×SD16—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548C2×D5911yescharacteristic, complemented
1005#548C2×D5911yescharacteristic, complemented
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495C2×D5911yescharacteristic, complemented
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467C2×D5911yescharacteristic, complemented
1068#466—591no—
1069#466—591no—
1070#466C2×D5911yescharacteristic, complemented
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464C2×D5911yescharacteristic, complemented
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452C2×D5911yescharacteristic, complemented
1100#452C2×D5911yescharacteristic, complemented
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#448—591no—
1116#448—591no—
1117#448C2×D5911yescharacteristic, complemented
1118#448C2×D5911yescharacteristic, complemented
1119#447—591no—
1120#447—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16C2×D5911yescharacteristic, complemented
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4C2×D5911yescharacteristic, complemented
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—1181no—
1185C23×C4—1181no—
1186#137—2362no—
1187AGL(1,ℤ/8)—2362no—
1188AGL(1,ℤ/8)—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—42no—
1191#135—2362no—
1192C2×Q16—42no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16C22×D5911yescharacteristic
1196C2×Q16C22×D5911yescharacteristic
1197C2×Q16C22×D5911yescharacteristic
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—2362no—
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8C22×D5911yescharacteristic
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—21no—
1241#124—21no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124C22×D5911yescharacteristic
1247#124C22×D5911yescharacteristic
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8C22×D5911yescharacteristic
1323C4×Q8C22×D5911yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4—1181no—
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107C22×D5911yescharacteristic
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8C22×D5911yescharacteristic
1441C24—591no—
1442C24—591no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—2361no—
1456#41—2364no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2364no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—591no—
1475C2×Q8—1181no—
1476C2×Q8—1182no—
1477C2×Q8—2361no—
1478C2×Q8C23×D5911yescharacteristic
1479C2×Q8C23×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—1182no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1182no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—2361no—
1515C2×D4—2364no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2362no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4D4×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—2361no—
1556C22×C4—2361no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2364no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—1182no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—41no—
1582D8—1182no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4D4×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4D4×D5911yescharacteristic
1677C22⋊C4D4×D5911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—591no—
1681C42—591no—
1682C42—591no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—591no—
1692C23—591no—
1693C23—591no—
1694C23—1182no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—2361no—
1703C23—2361no—
1704C23—2361no—
1705C23—2361no—
1706C23—2361no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—2362no—
1726Q8#1427377212yes—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—592no—
1737D4—1184no—
1738D4—1182no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—1181no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—2361no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2361no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—591no—
1784C2×C4—1184no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—2361no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2361no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2361no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—1181no—
1842C22—1182no—
1843C22—1181no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—1181no—
1850C22—1181no—
1851C22—9442no—
1852C22—4724no—
1853C22—4722no—
1854C22—4722no—
1855C22—4724no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683819912yes—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—1181no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—4721no—
1893C2—4721no—
1894C2—2361no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772411yescharacteristic
1899C2C2×#1683819911yescharacteristic
1900C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3285C2
socleC22×C59C23×D4
hypercenter#3285D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3285

Complements

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

NH ≅ G/Ntype
1. #21437932C2semidirect
2. #21437585C2semidirect
3. #21436369C2semidirect
4. #21436319C2semidirect
5. #21436271C2semidirect
6. #21436243C2semidirect
7. #21436226C2semidirect
8. #21436198C2semidirect
9. #21435998C2semidirect
10. #21435948C2semidirect
11. #21435804C2semidirect
12. #21435722C2semidirect
13. #21435705C2semidirect
14. #21435666C2semidirect
15. #21435636C2semidirect
16. #21435625C2semidirect
17. #21435584C2semidirect
18. #21435138C2semidirect
19. #21435067C2semidirect
20. #21434937C2semidirect
21. #21434923C2semidirect
22. #21434890C2semidirect
23. #21434856C2semidirect
24. #21434204C2semidirect
25. #21434120C2semidirect
26. #21433347C2semidirect
27. #21433339C2semidirect
28. #21433310C2semidirect
29. C2×#16837563C2semidirect
30. #21433129C2semidirect
31. C59×#3285C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273747C22semidirect
39. C22×#11745671C22semidirect
42. #16838098C22semidirect
44. #16838093C22semidirect
45. #16838086C22semidirect
49. Q8×C22⋊D59C22semidirect
55. #16838048C22semidirect
58. #16838045C22semidirect
59. #16838040C22semidirect
61. #16838036C22semidirect
66. #16837951C22semidirect
67. #16837939C22semidirect
68. #16837931C22semidirect
70. #16837915C22semidirect
71. #16837915C22semidirect
74. #16837909C22semidirect
75. C2×#14273703C22semidirect
76. #121×D59C22semidirect
78. C4×#11745689C22semidirect
81. #16837795C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837769C22semidirect
85. #16837765C22semidirect
86. #16837757C22semidirect
87. #16837756C22semidirect
88. #16837742C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837740C22semidirect
92. #16837739C22semidirect
93. #16837738C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837727C22semidirect
97. #16837725C22semidirect
98. #16837719C22semidirect
99. #16837718C22semidirect
100. #16837711C22semidirect
101. #16837709C22semidirect
102. #16837705C22semidirect
103. #16837703C22semidirect
104. #16837659C22semidirect
105. #16837659C22semidirect
106. #16837657C22semidirect
107. #16837654C22semidirect
108. #16837651C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837645C22semidirect
112. #16837638C22semidirect
113. #16837636C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837631C22semidirect
117. #16837629C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837620C22semidirect
121. #16837618C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837610C22semidirect
125. #16837605C22semidirect
126. #16837600C22semidirect
127. #16837595C22semidirect
128. #16837563C22semidirect
129. #16837563C22semidirect
130. #16837563C22semidirect
131. #16837563C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837561C22semidirect
140. #16837558C22semidirect
141. #16837556C22semidirect
142. #16837554C22semidirect
143. #16837551C22semidirect
145. #16837550C22semidirect
146. #16837550C22semidirect
147. #16837549C22semidirect
148. #16837548C22semidirect
149. #16837547C22semidirect
150. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837544C22semidirect
154. #16837541C22semidirect
155. #16837539C22semidirect
156. #16837538C22semidirect
157. #16837535C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837511C22semidirect
161. #16837509C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. C4×#11745671C22semidirect
165. C4×#11745671C22semidirect
166. C4×D472C22semidirect
167. #16837481C22semidirect
168. #16837479C22semidirect
169. #16837473C22semidirect
170. #16837473C22semidirect
171. #16837470C22semidirect
172. #16837470C22semidirect
173. D4×C59⋊C8C22semidirect
174. #16837458C22semidirect
175. #16837453C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837402C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. C2×#14273651C22semidirect
183. C2×#14273649C22semidirect
184. #16837364C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C2×#135×C59C22semidirect
189. C22×Q16×C59C22semidirect
190. C59×#548C22semidirect
191. C59×#548C22semidirect
192. C59×#495C22semidirect
193. C59×#467C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#448C22semidirect
200. C59×#448C22semidirect
201. C4×Q16×C59C22semidirect
202. C8×D4×C59C22semidirect
948. #3285D59semidirect
989. C2×#135C2×D59semidirect
990. C22×Q16C2×D59semidirect
1004. #548C2×D59semidirect
1005. #548C2×D59semidirect
1038. #495C2×D59semidirect
1067. #467C2×D59semidirect
1070. #466C2×D59semidirect
1077. #464C2×D59semidirect
1078. #464C2×D59semidirect
1099. #452C2×D59semidirect
1100. #452C2×D59semidirect
1117. #448C2×D59semidirect
1118. #448C2×D59semidirect
1127. C4×Q16C2×D59semidirect
1138. C8×D4C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
#214379322
#214375852
#214363692
#214363192
#214362712
#214362432
#214362262
#214361982
#214359982
#214359482
#214358042
#214357222
#214357052
#214356662
#214356362
#214356252
#214355842
#214351382
#214350672
#214349372
#214349232
#214348902
#214348562
#214342042
#214341202
#214333472
#214333392
#214333102
C2×#168375632
#214331292
C59×#32852
#6160659