Finite Group Databasebeta

← #29474129

Subgroups — #29474129

Order 15104.

2232 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438125C211yesmaximal, characteristic, complemented
2#550×D59C211yesmaximal, characteristic, complemented
3#21436429C211yesmaximal, characteristic, complemented
4#21436427C211yesmaximal, characteristic, complemented
5#21436109C211yesmaximal, characteristic, complemented
6#21436107C211yesmaximal, characteristic, complemented
7#21436104C211yesmaximal, characteristic, complemented
8#21436102C211yesmaximal, characteristic, complemented
9#21436041C211yesmaximal, characteristic, complemented
10#21436039C211yesmaximal, characteristic, complemented
11#21435850C211yesmaximal, characteristic, complemented
12#21435849C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435635C211yesmaximal, characteristic, complemented
16#21435632C211yesmaximal, characteristic, complemented
17#21435631C211yesmaximal, characteristic, complemented
18#21435110C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434911C211yesmaximal, characteristic, complemented
21#21434908C211yesmaximal, characteristic, complemented
22#21434845C211yesmaximal, characteristic, complemented
23#21434843C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434175C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21433344C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#21433310C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838102C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838097—21no—
45#16838074C2211yescharacteristic, complemented
46#16838073—21no—
47#16838073C2211yescharacteristic, complemented
48#16838072—21no—
49#16838072C2211yescharacteristic, complemented
50#16838071C2211yescharacteristic
51#16838071C2211yescharacteristic, complemented
52#16838071C2211yescharacteristic, complemented
53#16838070—21no—
54#16838070—21no—
55#16838070C2211yescharacteristic
56#16838070C2211yescharacteristic, complemented
57#16838049—21no—
58#16838045C2211yescharacteristic, complemented
59#16838042—21no—
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16838002—21no—
63#16837988—21no—
64#16837987—21no—
65#16837949C2211yescharacteristic
66#127×D59—21no—
67#127×D59C2211yescharacteristic, complemented
68#16837931C2211yescharacteristic
69#16837915C2211yescharacteristic
70#16837909C2211yescharacteristic
71C2×#14273698C2211yescharacteristic
72#121×D59—21no—
73#121×D59—21no—
74#121×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic, complemented
76#121×D59C2211yescharacteristic, complemented
77#16837875—21no—
78C4×Q8×D59C2211yescharacteristic, complemented
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837792C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837731C2211yescharacteristic, complemented
89#16837729C2211yescharacteristic, complemented
90#16837727C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837652C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837601C2211yescharacteristic, complemented
120#16837600C2211yescharacteristic, complemented
121#16837600C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837598C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837556C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837546C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837539C2211yescharacteristic
150#16837539C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164#16837494C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837404C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59D411yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C22×C4×D59—21no—
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237#14273754—42no—
238#14273753—42no—
239#14273751—42no—
240#14273750—42no—
241#14273748—42no—
242#14273747—42no—
243C2×#11745672C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×D472C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745664C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C2×#11745659C2311yescharacteristic
261C22×C59⋊C8C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264#14273726C2311yescharacteristic
265#14273724—21no—
266#14273724C2311yescharacteristic
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723—21no—
272#14273723—21no—
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273723C2311yescharacteristic
277#14273723C2311yescharacteristic
278#14273723C2311yescharacteristic
279#14273722—21no—
280#14273720—21no—
281#14273720—21no—
282#14273719C2311yescharacteristic
283#14273717—21no—
284#14273714—21no—
285#14273713—21no—
286#14273713—21no—
287#14273712—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273708—21no—
293#14273707—21no—
294#14273704—21no—
295#14273703C2311yescharacteristic
296#14273703C2311yescharacteristic
297#14273702—21no—
298#14273702—21no—
299#14273702C2311yescharacteristic
300#14273702C2311yescharacteristic
301#14273702C2311yescharacteristic
302#14273701—21no—
303#14273701—21no—
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273698C2311yescharacteristic
341#14273697—21no—
342#14273697—21no—
343#14273696—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350#14273692—21no—
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355D4×Dic59—21no—
356D4×Dic59D411yescharacteristic
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689—21no—
360#14273689D411yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4D411yescharacteristic
377(C22⋊D59)⋊C4D411yescharacteristic
378#14273686C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C4⋊C4×D59—21no—
384C4⋊C4×D59D411yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—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#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273659C2311yescharacteristic
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#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462#127×C59—21no—
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—44no—
551C2×C22⋊D59—82no—
552C2×C22⋊D59C2×D411yescharacteristic
553C2×C22⋊D59C2×D411yescharacteristic
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59C2×D411yescharacteristic
559C22×Dic59C2×D411yescharacteristic
560#11745689—22no—
561#11745689—22no—
562#11745689—41no—
563#11745689—41no—
564#11745689—41no—
565#11745689—41no—
566Q8×D59—22no—
567Q8×D59—22no—
568#11745687—22no—
569#11745687—22no—
570#11745687—41no—
571#11745687—41no—
572#11745687—44no—
573#11745687—44no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—41no—
579D4×D59—41no—
580D4×D59—42no—
581D4×D59—44no—
582D4×D59—44no—
583D4×D59—44no—
584D4×D59—82no—
585D4×D59—82no—
586D4×D59—82no—
587D4×D59—82no—
588#11745685—22no—
589#11745685—22no—
590#11745685—41no—
591#11745685—41no—
592#11745685—44no—
593#11745685—44no—
594#11745685—82no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236C2×D411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×D236C2411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—41no—
617C2×C4×D59—41no—
618C2×C4×D59—41no—
619C2×C4×D59—41no—
620C2×C4×D59—44no—
621C2×C4×D59—44no—
622C2×C4×D59C2×D411yescharacteristic
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×C4×D59C2411yescharacteristic
631C2×Dic118—21no—
632C2×Dic118—21no—
633C2×Dic118C2411yescharacteristic
634Q16×C59—22no—
635SD16×C59—22no—
636SD16×C59—22no—
637SD16×C59—41no—
638SD16×C59—41no—
639D8×C59—41no—
640D8×C59—41no—
641D8×C59—41no—
642D8×C59—41no—
643M16×C59—41no—
644C2×C8×C59—41no—
645C2×C8×C59C2411yescharacteristic
646C2×C8×C59C2411yescharacteristic
647C2×C8×C59C2411yescharacteristic
648C2×C8×C59C2411yescharacteristic
649C4⋊C4×C59—21no—
650C4⋊C4×C59—21no—
651C4⋊C4×C59C2×D411yescharacteristic
652C4⋊C4×C59C2411yescharacteristic
653C4⋊C4×C59C2411yescharacteristic
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59C2×D411yescharacteristic
662C22⋊C4×C59C2×D411yescharacteristic
663C42×C59—21no—
664C42×C59C2411yescharacteristic
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59C2×D411yescharacteristic
675C22⋊Dic59C2×D411yescharacteristic
676#11745672—22no—
677#11745671—22no—
678#11745671—41no—
679#11745671—41no—
680#11745670—22no—
681#11745670—22no—
682#11745669—41no—
683#11745669—41no—
684#11745669—41no—
685#11745669—41no—
686#11745669—41no—
687#11745669—41no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59—21no—
706C4⋊Dic59C2×D411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4C2×D411yescharacteristic
721Dic59⋊C4C2×D411yescharacteristic
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2×D411yescharacteristic
729C4×Dic59C2×D411yescharacteristic
730C4×Dic59C2411yescharacteristic
731#11745664—41no—
732C2×C59⋊C8—41no—
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737D472—41no—
738D472—41no—
739#11745660—22no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—42no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—22no—
754C22×D59—22no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—41no—
759C22×D59—41no—
760C22×D59—41no—
761C22×D59—41no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—42no—
768C22×D59—42no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59H(5,𝔽2)12yes—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—41no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—81no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—42no—
805C2×C4×C59—42no—
806C2×C4×C59—81no—
807C2×C4×C59—81no—
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C2511yescharacteristic
813C22⋊D59—22no—
814C22⋊D59—22no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—41no—
845C2×Dic59—41no—
846C2×Dic59—42no—
847C2×Dic59—42no—
848C2×Dic59—42no—
849C2×Dic59—81no—
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—41no—
862D236—42no—
863D236—42no—
864D236—42no—
865D236—42no—
866D236—81no—
867D236—81no—
868D236—81no—
869D236—81no—
870C4×D59—24no—
871C4×D59—22no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—21no—
875C4×D59—21no—
876C4×D59—21no—
877C4×D59—21no—
878C4×D59—22no—
879C4×D59—41no—
880C4×D59—41no—
881C4×D59—41no—
882C4×D59—41no—
883C4×D59—42no—
884C4×D59—42no—
885C4×D59—42no—
886C4×D59—42no—
887C4×D59—42no—
888C4×D59—81no—
889C4×D59—81no—
890C4×D59—81no—
891Dic118—24no—
892Dic118—21no—
893Dic118—81no—
894Dic118H(5,𝔽2)12yes—
895C8×C59—21no—
896C8×C59—21no—
897C8×C59—21no—
898C8×C59—21no—
899C59⋊C8—21no—
900C59⋊C8—21no—
901C59⋊C8—21no—
902C59⋊C8—21no—
903#61605—591nomaximal, Sylow
904C22×C59—21no—
905C22×C59—21no—
906C22×C59—21no—
907C22×C59—21no—
908C22×C59—21no—
909C22×C59—21no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—162no—
923C22×C59C23×D411yescharacteristic
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—82no—
942C2×D59—82no—
943C2×D59—84no—
944C2×D59—84no—
945C2×D59—162no—
946C2×D59#57612yes—
947C4×C59—22no—
948C4×C59—21no—
949C4×C59—21no—
950C4×C59—21no—
951C4×C59—21no—
952C4×C59—41no—
953C4×C59—41no—
954C4×C59—41no—
955C4×C59C2×H(5,𝔽2)11yescharacteristic
956C4×C59C2×H(5,𝔽2)11yescharacteristic
957Dic59—21no—
958Dic59—22no—
959Dic59—21no—
960Dic59—21no—
961Dic59—21no—
962Dic59—41no—
963Dic59—41no—
964Dic59—41no—
965Dic59—41no—
966Dic59#57512yes—
967#3519—591no—
968C2×#550—591no—
969#3333—591no—
970#3333—591no—
971#3309—591no—
972#3309—591no—
973#3309—591no—
974#3309—591no—
975#3305—591no—
976#3305—591no—
977#3287—591no—
978#3287—591no—
979#3274—591no—
980#3274—591no—
981#3268—591no—
982#3268—591no—
983#3268—591no—
984#3268D5911yescharacteristic, complemented
985#3217—591no—
986#3205—591no—
987#3194—591no—
988#3194—591no—
989#3186—591no—
990#3186—591no—
991#3112—591no—
992#3108—591no—
993#3006—591no—
994#3006—591no—
995#3002—591no—
996#3002—591no—
997#2974—591no—
998C2×C59—41no—
999C2×C59—41no—
1000C2×C59—81no—
1001C2×C59—81no—
1002C2×C59—81no—
1003C2×C59—81no—
1004C2×C59#348411yescharacteristic
1005C2×C59C2×#57511yescharacteristic
1006C2×C59C2×#57611yescharacteristic
1007D59—22no—
1008D59—41no—
1009D59—41no—
1010D59—81no—
1011D59—81no—
1012D59—81no—
1013C22×#41—591no—
1014C22×#41—591no—
1015C2×AGL(1,ℤ/8)—591no—
1016C2×AGL(1,ℤ/8)—591no—
1017C2×AGL(1,ℤ/8)—591no—
1018C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1019C2×#135—591no—
1020C2×#135—591no—
1021C2×#135—591no—
1022C2×#135C2×D5911yescharacteristic, complemented
1023#555—591no—
1024#554—591no—
1025#553—591no—
1026#553—591no—
1027#553—1181no—
1028#550—591no—
1029#550—591no—
1030#550—591no—
1031#550—591no—
1032#550—591no—
1033#550—591no—
1034#550—591no—
1035#550—591no—
1036#550—1181no—
1037#550—1181no—
1038#550—1181no—
1039#550—1181no—
1040#550C2×D5911yescharacteristic, complemented
1041#546—591no—
1042#546—1181no—
1043#546—1181no—
1044#546C2×D5911yescharacteristic, complemented
1045D42—591no—
1046D42—1181no—
1047#540—1181no—
1048#538—1181no—
1049#538—1181no—
1050#532—591no—
1051C2×#127—591no—
1052C2×#127—1181no—
1053#529—591no—
1054#525—591no—
1055#525—591no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—591no—
1059C2×#121—591no—
1060C2×#121—1181no—
1061C2×#121—1181no—
1062#518—1181no—
1063C2×C4×Q8—591no—
1064C2×C4×D4—591no—
1065C2×C4×D4—1181no—
1066#496—591no—
1067#496C2×D5911yescharacteristic, complemented
1068#493—591no—
1069#493—591no—
1070#490—591no—
1071#490—591no—
1072#486—591no—
1073#486—591no—
1074#483—591no—
1075#482—591no—
1076#482—591no—
1077#482—591no—
1078#482—591no—
1079#480—591no—
1080#480—591no—
1081#480—591no—
1082#480—591no—
1083#480—591no—
1084#480—591no—
1085#480—591no—
1086#479—591no—
1087#479—591no—
1088#477—591no—
1089#477—591no—
1090#469—591no—
1091#469—591no—
1092#469—591no—
1093#469—591no—
1094#468—591no—
1095#468—591no—
1096#468—591no—
1097#468C2×D5911yescharacteristic, complemented
1098#466—591no—
1099#466—591no—
1100#466—591no—
1101#466—591no—
1102#466—591no—
1103#466—591no—
1104#466—591no—
1105#466C2×D5911yescharacteristic, complemented
1106#464—591no—
1107#464C2×D5911yescharacteristic, complemented
1108#460—591no—
1109#460—591no—
1110#460—591no—
1111#460—591no—
1112#459—591no—
1113#459—591no—
1114#459—591no—
1115#459—591no—
1116#459—591no—
1117#459C2×D5911yescharacteristic, complemented
1118#452—591no—
1119#452—591no—
1120#452—591no—
1121#452C2×D5911yescharacteristic, complemented
1122#451—591no—
1123#450—591no—
1124#450—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449C2×D5911yescharacteristic, complemented
1140#449C2×D5911yescharacteristic, complemented
1141#448—591no—
1142#448—591no—
1143#448—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#447—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447C2×D5911yescharacteristic, complemented
1154#440—591no—
1155#440—591no—
1156#440—591no—
1157#440C2×D5911yescharacteristic, complemented
1158C4×Q16—591no—
1159C4×Q16—591no—
1160C4×SD16—591no—
1161C4×SD16—591no—
1162#436—591no—
1163#436—591no—
1164#435—591no—
1165#435—591no—
1166#435—591no—
1167#435C2×D5911yescharacteristic, complemented
1168C8×D4—591no—
1169C8×D4—591no—
1170#432—591no—
1171#431—591no—
1172#417—591no—
1173#417—591no—
1174#417—591no—
1175#417—591no—
1176#416—591no—
1177#416—591no—
1178#416—591no—
1179#416—591no—
1180#407—591no—
1181#407—591no—
1182C2×C22⋊C8—591no—
1183C2×C22⋊C8—591no—
1184C59#6160511yescharacteristic, complemented, Sylow
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—591no—
1192C2×#41—1181no—
1193C2×#41—1181no—
1194C2×#41—1181no—
1195C2×#41—1181no—
1196C2×#41—1181no—
1197C2×#41—2362no—
1198C2×#41—2362no—
1199C2×#41—2362no—
1200C2×#41—2362no—
1201C2×#41C22×D5911yescharacteristic
1202C2×#41C22×D5911yescharacteristic
1203C2×#41C22×D5911yescharacteristic
1204C22×Q8—591no—
1205C22×D4—591no—
1206C22×D4—591no—
1207C22×D4—591no—
1208C22×D4—591no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C22×D4—1181no—
1218C22×D4C22×D5911yescharacteristic
1219C23×C4—591no—
1220C23×C4—591no—
1221C23×C4—1181no—
1222C23×C4—1181no—
1223AGL(1,ℤ/8)—42no—
1224AGL(1,ℤ/8)—2362no—
1225AGL(1,ℤ/8)—2362no—
1226AGL(1,ℤ/8)—2362no—
1227#135—42no—
1228#135—2362no—
1229#135—2362no—
1230#135—2362no—
1231C2×Q16—591no—
1232C2×Q16C22×D5911yescharacteristic
1233C2×SD16—591no—
1234C2×SD16—591no—
1235C2×SD16—591no—
1236C2×SD16—591no—
1237C2×SD16—591no—
1238C2×SD16—591no—
1239C2×SD16C22×D5911yescharacteristic
1240C2×SD16C22×D5911yescharacteristic
1241C2×SD16C22×D5911yescharacteristic
1242C2×SD16C22×D5911yescharacteristic
1243C2×D8—591no—
1244C2×D8—591no—
1245C2×D8—591no—
1246C2×D8—591no—
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8C22×D5911yescharacteristic
1252C2×D8C22×D5911yescharacteristic
1253C2×D8C22×D5911yescharacteristic
1254C2×D8C22×D5911yescharacteristic
1255C2×M16—591no—
1256C2×M16—591no—
1257C2×M16—591no—
1258C2×M16C22×D5911yescharacteristic
1259C22×C8—591no—
1260C22×C8—591no—
1261C22×C8—591no—
1262C22×C8C22×D5911yescharacteristic
1263C4⋊Q8—591no—
1264#127—21no—
1265#127—591no—
1266#127—591no—
1267#127—591no—
1268#127—591no—
1269#127—1181no—
1270#127—1181no—
1271#127—1181no—
1272#127—1181no—
1273#127—1181no—
1274#127—1181no—
1275#127—1181no—
1276#127—1181no—
1277#127—1181no—
1278#127—1181no—
1279#127C22×D5911yescharacteristic
1280#126—1181no—
1281#126—1181no—
1282#126—1181no—
1283#125—591no—
1284#125—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124C22×D5911yescharacteristic
1289#123—21no—
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296C22⋊Q8—591no—
1297C22⋊Q8—591no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8C22×D5911yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#121C22×D5911yescharacteristic
1351#120—21no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357C4×Q8—591no—
1358C4×Q8—591no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—1181no—
1362C4×Q8—1181no—
1363C4×Q8C22×D5911yescharacteristic
1364C4×D4—21no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4C22×D5911yescharacteristic
1392C4×D4C22×D5911yescharacteristic
1393#117—591no—
1394#117—591no—
1395#117—1181no—
1396#117—1181no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—591no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4—1181no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—591no—
1404C2×C22⋊C4—591no—
1405C2×C22⋊C4—1181no—
1406C2×C22⋊C4—1181no—
1407C2×C22⋊C4—1181no—
1408C2×C22⋊C4—1181no—
1409C2×C22⋊C4—1181no—
1410C2×C42—591no—
1411C2×C42—1181no—
1412#107—591no—
1413#107—591no—
1414#107—591no—
1415#107—591no—
1416#107—591no—
1417#107C22×D5911yescharacteristic
1418#106—591no—
1419#106—591no—
1420C4⋊C8—591no—
1421C4⋊C8—591no—
1422C4⋊C8—591no—
1423C4⋊C8C22×D5911yescharacteristic
1424#103—591no—
1425#103—591no—
1426#103—591no—
1427#103—591no—
1428#103—591no—
1429#103—591no—
1430#103—591no—
1431#103—591no—
1432#103C22×D5911yescharacteristic
1433#103C22×D5911yescharacteristic
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102C22×D5911yescharacteristic
1453#102C22×D5911yescharacteristic
1454#102C22×D5911yescharacteristic
1455#102C22×D5911yescharacteristic
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8—591no—
1461C22⋊C8—591no—
1462C22⋊C8—591no—
1463C22⋊C8—591no—
1464C22⋊C8—591no—
1465C22⋊C8—591no—
1466C22⋊C8C22×D5911yescharacteristic
1467C22⋊C8C22×D5911yescharacteristic
1468#97—591no—
1469#97C22×D5911yescharacteristic
1470C4×C8—591no—
1471C4×C8—591no—
1472C24—21no—
1473C24—591no—
1474C24—591no—
1475C24—1181no—
1476C24—1181no—
1477C24—1181no—
1478#41—22no—
1479#41—22no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—1182no—
1485#41—1182no—
1486#41—1182no—
1487#41—1182no—
1488#41—1182no—
1489#41—1182no—
1490#41—4722no—
1491#41—2361no—
1492#41—2361no—
1493#41—2364no—
1494#41—2364no—
1495#41—2361no—
1496#41—2361no—
1497#41—2361no—
1498#41—2361no—
1499#41—2361no—
1500#41—2361no—
1501#41—2364no—
1502#41—2364no—
1503C2×Q8—591no—
1504C2×Q8—1181no—
1505C2×Q8—1181no—
1506C2×Q8—1182no—
1507C2×Q8—1182no—
1508C2×Q8C23×D5911yescharacteristic
1509C2×Q8C23×D5911yescharacteristic
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—4722no—
1563C2×D4—4722no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2362no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4D4×D5911yescharacteristic
1576C2×D4C23×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—591no—
1592C22×C4—591no—
1593C22×C4—591no—
1594C22×C4—591no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4—1181no—
1600C22×C4—1181no—
1601C22×C4—1181no—
1602C22×C4—1181no—
1603C22×C4—1181no—
1604C22×C4—1181no—
1605C22×C4—1181no—
1606C22×C4—1181no—
1607C22×C4—1181no—
1608C22×C4—2361no—
1609C22×C4—2361no—
1610C22×C4—2361no—
1611C22×C4—2361no—
1612C22×C4—2364no—
1613C22×C4—2364no—
1614C22×C4C23×D5911yescharacteristic
1615C22×C4C23×D5911yescharacteristic
1616Q16—22no—
1617Q16—1182no—
1618SD16—22no—
1619SD16—22no—
1620SD16—41no—
1621SD16—41no—
1622SD16—1182no—
1623SD16—1182no—
1624SD16—1182no—
1625SD16—1182no—
1626SD16—2361no—
1627SD16—2361no—
1628D8—41no—
1629D8—41no—
1630D8—41no—
1631D8—41no—
1632D8—2361no—
1633D8—2361no—
1634D8—2361no—
1635D8—2361no—
1636D8—2361no—
1637D8—2361no—
1638D8—2361no—
1639D8—2361no—
1640M16—41no—
1641M16—2361no—
1642M16—2361no—
1643M16—2361no—
1644C2×C8—41no—
1645C2×C8—591no—
1646C2×C8—591no—
1647C2×C8—591no—
1648C2×C8—591no—
1649C2×C8—2361no—
1650C2×C8—2361no—
1651C2×C8—2361no—
1652C2×C8C23×D5911yescharacteristic
1653C2×C8C23×D5911yescharacteristic
1654C2×C8C23×D5911yescharacteristic
1655C2×C8C23×D5911yescharacteristic
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—591no—
1659C4⋊C4—591no—
1660C4⋊C4—591no—
1661C4⋊C4—591no—
1662C4⋊C4—591no—
1663C4⋊C4—591no—
1664C4⋊C4—591no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4—1181no—
1670C4⋊C4—1181no—
1671C4⋊C4—1181no—
1672C4⋊C4—1181no—
1673C4⋊C4—1181no—
1674C4⋊C4—1181no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4D4×D5911yescharacteristic
1678C4⋊C4C23×D5911yescharacteristic
1679C4⋊C4C23×D5911yescharacteristic
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—591no—
1688C22⋊C4—591no—
1689C22⋊C4—591no—
1690C22⋊C4—591no—
1691C22⋊C4—591no—
1692C22⋊C4—591no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4D4×D5911yescharacteristic
1714C22⋊C4D4×D5911yescharacteristic
1715C42—21no—
1716C42—591no—
1717C42—591no—
1718C42—591no—
1719C42—1181no—
1720C42—1181no—
1721C42—1181no—
1722C42—1181no—
1723C42—1181no—
1724C42—1181no—
1725C42C23×D5911yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—81no—
1732C23—81no—
1733C23—591no—
1734C23—591no—
1735C23—591no—
1736C23—1182no—
1737C23—1182no—
1738C23—1181no—
1739C23—1181no—
1740C23—1181no—
1741C23—4721no—
1742C23—4721no—
1743C23—2361no—
1744C23—2361no—
1745C23—2361no—
1746C23—2361no—
1747C23—2362no—
1748C23—2362no—
1749C23—2362no—
1750C23—2362no—
1751C23—2362no—
1752C23—2362no—
1753C23—2362no—
1754C23C2×D4×D5911yescharacteristic
1755C23C2×D4×D5911yescharacteristic
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—592no—
1760Q8—1184no—
1761Q8—1181no—
1762Q8—4721no—
1763Q8#1427377212yes—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—41no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—1182no—
1783D4—1182no—
1784D4—1181no—
1785D4—1181no—
1786D4—1181no—
1787D4—1181no—
1788D4—1181no—
1789D4—1181no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—4721no—
1801D4—4721no—
1802D4—4721no—
1803D4—4721no—
1804D4—4721no—
1805D4—2361no—
1806D4—2362no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819D4—2362no—
1820D4—2362no—
1821D4—2362no—
1822D4—2362no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—591no—
1836C2×C4—591no—
1837C2×C4—591no—
1838C2×C4—591no—
1839C2×C4—591no—
1840C2×C4—1182no—
1841C2×C4—1182no—
1842C2×C4—1184no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—1181no—
1852C2×C4—1181no—
1853C2×C4—1181no—
1854C2×C4—4721no—
1855C2×C4—4721no—
1856C2×C4—4721no—
1857C2×C4—4721no—
1858C2×C4—2361no—
1859C2×C4—2361no—
1860C2×C4—2361no—
1861C2×C4—2361no—
1862C2×C4—2362no—
1863C2×C4—2362no—
1864C2×C4—2362no—
1865C2×C4—2362no—
1866C2×C4—2362no—
1867C2×C4—2362no—
1868C2×C4—2361no—
1869C2×C4—2361no—
1870C2×C4—2362no—
1871C2×C4—2362no—
1872C2×C4C2×D4×D5911yescharacteristic
1873C2×C4C2×D4×D5911yescharacteristic
1874C2×C4C2×D4×D5911yescharacteristic
1875C2×C4C2×D4×D5911yescharacteristic
1876C2×C4C24×D5911yescharacteristic
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—21no—
1881C8—1181no—
1882C8—1181no—
1883C8—1181no—
1884C8—1181no—
1885C22—21no—
1886C22—21no—
1887C22—21no—
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—162no—
1904C22—592no—
1905C22—1181no—
1906C22—1181no—
1907C22—1181no—
1908C22—1181no—
1909C22—1181no—
1910C22—1181no—
1911C22—1181no—
1912C22—1181no—
1913C22—9442no—
1914C22—4722no—
1915C22—4722no—
1916C22—4724no—
1917C22—4724no—
1918C22—2361no—
1919C22—2361no—
1920C22—2361no—
1921C22—2361no—
1922C22—2361no—
1923C22—2361no—
1924C22—2361no—
1925C22—2361no—
1926C22—2361no—
1927C22C22×D4×D5911yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—22no—
1931C4—21no—
1932C4—21no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—592no—
1937C4—1181no—
1938C4—1181no—
1939C4—1181no—
1940C4—1182no—
1941C4—1181no—
1942C4—2361no—
1943C4—2361no—
1944C4—2361no—
1945C4—2361no—
1946C4H(5,𝔽2)×D5911yescharacteristic
1947C4C2×#1427377211yescharacteristic
1948C2—41no—
1949C2—41no—
1950C2—81no—
1951C2—81no—
1952C2—81no—
1953C2—81no—
1954C2—1182no—
1955C2—4721no—
1956C2—4721no—
1957C2—4721no—
1958C2—2361no—
1959C2—2361no—
1960C2#2143772411yescharacteristic
1961C2#575×D5911yescharacteristic
1962C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61605
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21438125C2semidirect
2. #550×D59C2semidirect
3. #21436429C2semidirect
4. #21436427C2semidirect
5. #21436109C2semidirect
6. #21436107C2semidirect
7. #21436104C2semidirect
8. #21436102C2semidirect
9. #21436041C2semidirect
10. #21436039C2semidirect
11. #21435850C2semidirect
12. #21435849C2semidirect
13. #21435714C2semidirect
14. #21435710C2semidirect
15. #21435635C2semidirect
16. #21435632C2semidirect
17. #21435631C2semidirect
18. #21435110C2semidirect
19. #21435013C2semidirect
20. #21434911C2semidirect
21. #21434908C2semidirect
22. #21434845C2semidirect
23. #21434843C2semidirect
24. #21434216C2semidirect
25. #21434175C2semidirect
26. #21433345C2semidirect
27. #21433344C2semidirect
28. #21433317C2semidirect
29. #21433310C2semidirect
30. #21433126C2semidirect
31. C59×#3268C2semidirect
32. C2×#41×D59C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
40. #16838116C22semidirect
41. #16838110C22semidirect
42. #16838102C22semidirect
43. #16838098C22semidirect
45. #16838074C22semidirect
47. #16838073C22semidirect
49. #16838072C22semidirect
51. #16838071C22semidirect
52. #16838071C22semidirect
56. #16838070C22semidirect
58. #16838045C22semidirect
60. D4×C22⋊D59C22semidirect
67. #127×D59C22semidirect
75. #121×D59C22semidirect
76. #121×D59C22semidirect
78. C4×Q8×D59C22semidirect
81. #16837792C22semidirect
82. #16837777C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837747C22semidirect
87. #16837747C22semidirect
88. #16837731C22semidirect
89. #16837729C22semidirect
90. #16837727C22semidirect
91. #16837725C22semidirect
92. #16837723C22semidirect
93. #16837717C22semidirect
94. #16837717C22semidirect
95. #16837716C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837710C22semidirect
101. #16837709C22semidirect
102. #16837696C22semidirect
103. #16837695C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837652C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837645C22semidirect
111. #16837638C22semidirect
112. #16837637C22semidirect
113. #16837637C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837635C22semidirect
118. #16837621C22semidirect
119. #16837601C22semidirect
120. #16837600C22semidirect
121. #16837600C22semidirect
122. #16837600C22semidirect
123. #16837598C22semidirect
124. #16837597C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837563C22semidirect
129. #16837562C22semidirect
130. #16837561C22semidirect
131. #16837556C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837550C22semidirect
135. #16837549C22semidirect
136. #16837549C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
140. #16837546C22semidirect
141. #16837546C22semidirect
142. #16837546C22semidirect
143. #16837546C22semidirect
144. #16837545C22semidirect
145. #16837544C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837542C22semidirect
150. #16837539C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837504C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. Q16×Dic59C22semidirect
164. #16837494C22semidirect
165. #16837493C22semidirect
166. SD16×Dic59C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837404C22semidirect
177. #16837403C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#550C22semidirect
191. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
196. C59×#459C22semidirect
197. C59×#452C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
984. #3268D59semidirect
1018. C2×AGL(1,ℤ/8)C2×D59semidirect
1022. C2×#135C2×D59semidirect
1040. #550C2×D59semidirect
1044. #546C2×D59semidirect
1067. #496C2×D59semidirect
1097. #468C2×D59semidirect
1105. #466C2×D59semidirect
1107. #464C2×D59semidirect
1117. #459C2×D59semidirect
1121. #452C2×D59semidirect
1139. #449C2×D59semidirect
1140. #449C2×D59semidirect
1153. #447C2×D59semidirect
1157. #440C2×D59semidirect
1167. #435C2×D59semidirect
1184. C59#61605semidirect

Maximal subgroups

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

subgroupindex
#214381252
#550×D592
#214364292
#214364272
#214361092
#214361072
#214361042
#214361022
#214360412
#214360392
#214358502
#214358492
#214357142
#214357102
#214356352
#214356322
#214356312
#214351102
#214350132
#214349112
#214349082
#214348452
#214348432
#214342162
#214341752
#214333452
#214333442
#214333172
#214333102
#214331262
C59×#32682
#6160559