Finite Group Databasebeta

← #29470602

Subgroups — #29470602

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437702C211yesmaximal, characteristic, complemented
2#21437582C211yesmaximal, characteristic, complemented
3#21437135C211yesmaximal, characteristic, complemented
4#21436992C211yesmaximal, characteristic, complemented
5#21436885C211yesmaximal, characteristic, complemented
6#21436800C211yesmaximal, characteristic, complemented
7#21436572C211yesmaximal, characteristic, complemented
8#21436565C211yesmaximal, characteristic, complemented
9#21436448C211yesmaximal, characteristic, complemented
10#21436243C211yesmaximal, characteristic, complemented
11#21436236C211yesmaximal, characteristic, complemented
12#21436063C211yesmaximal, characteristic, complemented
13#21436056C211yesmaximal, characteristic, complemented
14#21435915C211yesmaximal, characteristic, complemented
15#21435904C211yesmaximal, characteristic, complemented
16#21435770C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21434831C211yesmaximal, characteristic, complemented
20#21434790C211yesmaximal, characteristic, complemented
21#21434245C211yesmaximal, characteristic, complemented
22#21434238C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434185C211yesmaximal, characteristic, complemented
26#21434183C211yesmaximal, characteristic, complemented
27#21433107C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29C2×#16837515C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3180C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273754C2211yescharacteristic
34C22×D472C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838134C2211yescharacteristic, complemented
37#16838110C2211yescharacteristic, complemented
38#16838108C2211yescharacteristic, complemented
39#16838105C2211yescharacteristic, complemented
40#16838104C2211yescharacteristic, complemented
41#16838103—21no—
42#16838077—21no—
43#16838075—21no—
44#16838072C2211yescharacteristic, complemented
45#16838067C2211yescharacteristic, complemented
46#16838060—21no—
47#16838055C2211yescharacteristic, complemented
48#16838052C2211yescharacteristic
49#16838052C2211yescharacteristic, complemented
50#16838045—21no—
51#16838045C2211yescharacteristic, complemented
52#16838044—21no—
53#16838043C2211yescharacteristic, complemented
54#16838041—21no—
55#16838041—21no—
56#16838037C2211yescharacteristic, complemented
57#16838036C2211yescharacteristic
58#16838036C2211yescharacteristic, complemented
59#16838036C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic, complemented
61#16837949C2211yescharacteristic, complemented
62#16837949C2211yescharacteristic, complemented
63#16837939C2211yescharacteristic, complemented
64#16837930—21no—
65#16837914—21no—
66#16837911—21no—
67#16837911—21no—
68#16837911—21no—
69#16837909—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C2×C4×D236C2211yescharacteristic, complemented
73C2×C4×D236C2211yescharacteristic, complemented
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic, complemented
81#16837777C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837747C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic, complemented
86#16837731C2211yescharacteristic, complemented
87#16837730C2211yescharacteristic, complemented
88#16837729C2211yescharacteristic, complemented
89#16837725C2211yescharacteristic, complemented
90#16837722C2211yescharacteristic, complemented
91#16837722C2211yescharacteristic, complemented
92#16837719C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837713C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837689C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837681C2211yescharacteristic, complemented
110#16837656C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837537C2211yescharacteristic
135#16837537C2211yescharacteristic, complemented
136#16837537C2211yescharacteristic, complemented
137#16837535C2211yescharacteristic
138#16837535C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic
146#16837515C2211yescharacteristic, complemented
147#16837515C2211yescharacteristic, complemented
148#16837515C2211yescharacteristic, complemented
149#16837515C2211yescharacteristic, complemented
150#16837515C2211yescharacteristic, complemented
151#16837515C2211yescharacteristic, complemented
152#16837514C2211yescharacteristic, complemented
153#16837513C2211yescharacteristic
154#16837512C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic, complemented
157#16837512C2211yescharacteristic, complemented
158#16837512C2211yescharacteristic, complemented
159#16837512C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837475C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174#16837459C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837443C2211yescharacteristic, complemented
178C2×#14273659C2211yescharacteristic, complemented
179#106×D59C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685D411yescharacteristic
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212#41×D59—48no—
213C2×Q8×D59—21no—
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C2×D4×D59C2311yescharacteristic
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225C22×C4×D59—21no—
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228#14273754—24no—
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472—24no—
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—24no—
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273720—21no—
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273716C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273711—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273708—21no—
276#14273707—21no—
277#14273707—21no—
278#14273705—21no—
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273703C2311yescharacteristic
288#14273702—21no—
289#14273702—21no—
290#14273702C2311yescharacteristic
291#14273702C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273698—21no—
305#14273698—21no—
306#14273698C2311yescharacteristic
307#14273698C2311yescharacteristic
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273697—21no—
313#14273697—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318#14273695—21no—
319Q8×Dic59C2311yescharacteristic
320C4×Dic118D411yescharacteristic
321C4×Dic118C2311yescharacteristic
322C4×D236—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236—21no—
328C4×D236D411yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59—21no—
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342#14273689—21no—
343#14273689—21no—
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363#14273686D411yescharacteristic
364#14273685—21no—
365#14273685C2311yescharacteristic
366#14273684—21no—
367#14273684D411yescharacteristic
368#14273684D411yescharacteristic
369C2×C4⋊Dic59C2311yescharacteristic
370C2×C4⋊Dic59C2311yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C42×D59—21no—
383C42×D59C2311yescharacteristic
384C42×D59C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#127×C59C2311yescharacteristic
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#124×C59—21no—
451#124×C59C2311yescharacteristic
452#123×C59—21no—
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523#11745689—22no—
524#11745689—41no—
525#11745689—44no—
526Q8×D59—44no—
527#11745687—44no—
528#11745687—44no—
529#11745687—44no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—22no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—44no—
537D4×D59—44no—
538D4×D59—44no—
539D4×D59—44no—
540#11745685—24no—
541#11745685—44no—
542#11745685—44no—
543#11745685—82no—
544C2×D236—22no—
545C2×D236—22no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—41no—
554C2×D236—41no—
555C2×D236C2×D411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—44no—
577C2×C4×D59—44no—
578C2×C4×D59—44no—
579C2×C4×D59—82no—
580C2×C4×D59—82no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118C2×D411yescharacteristic
591SD16×C59—22no—
592SD16×C59—41no—
593D8×C59—22no—
594D8×C59—41no—
595C2×C8×C59—22no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C42×C59—21no—
620C42×C59C2×D411yescharacteristic
621C42×C59C2×D411yescharacteristic
622C42×C59C2411yescharacteristic
623C42×C59C2411yescharacteristic
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632#11745671—22no—
633#11745671—41no—
634#11745669—22no—
635#11745669—22no—
636#11745669—22no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—22no—
700D472—22no—
701D472#4114yescomplemented
702#11745659—22no—
703#11745659—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—42no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—81no—
745C2×C4×C59—22no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—41no—
754C2×C4×C59—42no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—22no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59AGL(1,ℤ/8)14yescomplemented
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—42no—
782C2×Dic59—42no—
783C2×Dic59—42no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792D236—22no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—42no—
804D236—42no—
805D236—81no—
806D236C2×#4112yes—
807D236C2×#4112yescomplemented
808C4×D59—22no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—22no—
814C4×D59—41no—
815C4×D59—41no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832Dic118—22no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59C2×#4112yescomplemented
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8—21no—
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59C2×AGL(1,ℤ/8)12yes—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—21no—
862C2×D59—22no—
863C2×D59—22no—
864C2×D59—21no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—84no—
876C2×D59—84no—
877C2×D59—84no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59C22×#4111yescharacteristic
892C4×C59#58511yescharacteristic
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—21no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264—591no—
921#3184—591no—
922#3180—591no—
923#3180D5911yescharacteristic, complemented
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109—591no—
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442—591no—
934C2×C59—22no—
935C2×C59—81no—
936C2×C59—81no—
937C2×C59—81no—
938C2×C59D4×#4111yescharacteristic
939C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
940C2×C59#358511yescharacteristic
941D59—22no—
942D59—41no—
943D59—42no—
944D59—42no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)—591no—
949C22×D8—591no—
950C22×D8—591no—
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—591no—
956#553—1181no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546—1181no—
971D42—591no—
972D42—591no—
973D42—591no—
974D42—591no—
975#532—591no—
976#532—591no—
977#532—591no—
978#532C2×D5911yescharacteristic, complemented
979#529—591no—
980#529—1181no—
981#529C2×D5911yescharacteristic, complemented
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—591no—
993C2×C4×D4—591no—
994C2×C4×D4—1181no—
995#501—591no—
996#501C2×D5911yescharacteristic, complemented
997#498—591no—
998#496—591no—
999#496C2×D5911yescharacteristic, complemented
1000#493—591no—
1001#490—591no—
1002#490C2×D5911yescharacteristic, complemented
1003#489—591no—
1004#489C2×D5911yescharacteristic, complemented
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482—591no—
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481—591no—
1016#481—591no—
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478—591no—
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476—591no—
1028#476—591no—
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469—591no—
1035#466—591no—
1036#466—591no—
1037#466C2×D5911yescharacteristic, complemented
1038#466C2×D5911yescharacteristic, complemented
1039#465—591no—
1040#465—591no—
1041#465C2×D5911yescharacteristic, complemented
1042#465C2×D5911yescharacteristic, complemented
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#449—591no—
1058#449—591no—
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447—591no—
1066#447—591no—
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442C2×D5911yescharacteristic, complemented
1088#442C2×D5911yescharacteristic, complemented
1089#440—591no—
1090#440—591no—
1091#440C2×D5911yescharacteristic, complemented
1092#440C2×D5911yescharacteristic, complemented
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432—591no—
1106#428—591no—
1107C2×#106—591no—
1108C2×#106—591no—
1109#418—591no—
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102—591no—
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97C2×D5911yescharacteristic, complemented
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—21no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1181no—
1129C2×#41—2368no—
1130C22×Q8—1181no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C22×D4—1181no—
1140C23×C4—1181no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—1184no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16C22×D5911yescharacteristic
1149C2×SD16C22×D5911yescharacteristic
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—591no—
1160C2×D8—1184no—
1161C2×D8—1184no—
1162C2×D8C22×D5911yescharacteristic
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16—591no—
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8C22×D5911yescharacteristic
1169C22×C8C22×D5911yescharacteristic
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8C22×D5911yescharacteristic
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127C22×D5911yescharacteristic
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—1181no—
1184#125C22×D5911yescharacteristic
1185#124—21no—
1186#124—591no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#123—21no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206C22⋊Q8—591no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8C22×D5911yescharacteristic
1219#121—21no—
1220#121—591no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—21no—
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—591no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—591no—
1315C2×C4⋊C4—591no—
1316C2×C4⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—1181no—
1327C2×C42C22×D5911yescharacteristic
1328#107—591no—
1329#107—591no—
1330#107C22×D5911yescharacteristic
1331#107C22×D5911yescharacteristic
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342#106C22×D5911yescharacteristic
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350#103—591no—
1351#103—591no—
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97C22×D5911yescharacteristic
1393#97C22×D5911yescharacteristic
1394#97C22×D5911yescharacteristic
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—44no—
1404#41—1184no—
1405#41—1182no—
1406#41—4722no—
1407#41—2364no—
1408#41—2364no—
1409#41—2361no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2364no—
1414C2×Q8—21no—
1415C2×Q8—591no—
1416C2×Q8—1181no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—2364no—
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1182no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4—2364no—
1465C2×D4—2364no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—4722no—
1500C22×C4—4722no—
1501C22×C4—2364no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4D4×D5911yescharacteristic
1505C22×C4D4×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—22no—
1508SD16—41no—
1509SD16—1182no—
1510SD16—2361no—
1511D8—22no—
1512D8—41no—
1513D8—594no—
1514D8—1182no—
1515D8—1182no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—1182no—
1520D8—2361no—
1521D8—2361no—
1522D8—2361no—
1523M16—1182no—
1524M16—2361no—
1525C2×C8—22no—
1526C2×C8—41no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—591no—
1531C2×C8—1182no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—591no—
1550C4⋊C4—591no—
1551C4⋊C4—591no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4C23×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
1582C22⋊C4—591no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
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—1181no—
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—1181no—
1617C42—1181no—
1618C42D4×D5911yescharacteristic
1619C42D4×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—591no—
1626C23—591no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—2362no—
1637C23—2362no—
1638C23—2362no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23—2362no—
1646C23C2×D4×D5911yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—42no—
1650Q8—1182no—
1651Q8—4721no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—81no—
1665D4—594no—
1666D4—592no—
1667D4—592no—
1668D4—1182no—
1669D4—1182no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—2362no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—41no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—2361no—
1730C2×C4—2361no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C8#41×D5912yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—592no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1182no—
1777C22—1182no—
1778C22—1181no—
1779C22—4724no—
1780C22—4724no—
1781C22—4724no—
1782C22—4724no—
1783C22—4724no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—592no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—1181no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C2×#41×D5911yescharacteristic
1817C4#1683823811yescharacteristic
1818C2—22no—
1819C2—81no—
1820C2—81no—
1821C2—81no—
1822C2—1182no—
1823C2—4721no—
1824C2—4721no—
1825C2—2361no—
1826C2—2362no—
1827C2—2362no—
1828C2#2143758211yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3180C2
socleC22×C59C23×D4
hypercenter#3180D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #21437702C2semidirect
2. #21437582C2semidirect
3. #21437135C2semidirect
4. #21436992C2semidirect
5. #21436885C2semidirect
6. #21436800C2semidirect
7. #21436572C2semidirect
8. #21436565C2semidirect
9. #21436448C2semidirect
10. #21436243C2semidirect
11. #21436236C2semidirect
12. #21436063C2semidirect
13. #21436056C2semidirect
14. #21435915C2semidirect
15. #21435904C2semidirect
16. #21435770C2semidirect
17. #21435575C2semidirect
18. #21435573C2semidirect
19. #21434831C2semidirect
20. #21434790C2semidirect
21. #21434245C2semidirect
22. #21434238C2semidirect
23. #21434230C2semidirect
24. #21434185C2semidirect
25. #21434185C2semidirect
26. #21434183C2semidirect
27. #21433107C2semidirect
28. #21432901C2semidirect
29. C2×#16837515C2semidirect
30. #442×D59C2semidirect
31. C59×#3180C2semidirect
36. #16838134C22semidirect
37. #16838110C22semidirect
38. #16838108C22semidirect
39. #16838105C22semidirect
40. #16838104C22semidirect
44. #16838072C22semidirect
45. #16838067C22semidirect
47. #16838055C22semidirect
49. #16838052C22semidirect
51. #16838045C22semidirect
53. #16838043C22semidirect
56. #16838037C22semidirect
58. #16838036C22semidirect
59. #16838036C22semidirect
60. #16837949C22semidirect
61. #16837949C22semidirect
62. #16837949C22semidirect
63. #16837939C22semidirect
70. C4×#11745689C22semidirect
72. C2×C4×D236C22semidirect
73. C2×C4×D236C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837799C22semidirect
80. #16837788C22semidirect
81. #16837777C22semidirect
82. #16837765C22semidirect
83. #16837763C22semidirect
84. #16837747C22semidirect
85. #16837747C22semidirect
86. #16837731C22semidirect
87. #16837730C22semidirect
88. #16837729C22semidirect
89. #16837725C22semidirect
90. #16837722C22semidirect
91. #16837722C22semidirect
92. #16837719C22semidirect
93. #16837719C22semidirect
94. #16837718C22semidirect
95. #16837718C22semidirect
96. #16837717C22semidirect
97. #16837713C22semidirect
98. #16837705C22semidirect
99. #16837704C22semidirect
100. #16837699C22semidirect
101. #16837699C22semidirect
102. #16837691C22semidirect
103. #16837691C22semidirect
104. #16837690C22semidirect
105. #16837690C22semidirect
106. #16837689C22semidirect
107. #16837689C22semidirect
108. #16837685C22semidirect
109. #16837681C22semidirect
110. #16837656C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837652C22semidirect
114. #16837639C22semidirect
115. #16837637C22semidirect
116. #16837634C22semidirect
117. #16837628C22semidirect
118. #16837620C22semidirect
119. #16837619C22semidirect
120. #16837614C22semidirect
121. #16837614C22semidirect
122. #16837600C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837595C22semidirect
127. #16837595C22semidirect
128. #16837594C22semidirect
129. #16837594C22semidirect
130. #16837552C22semidirect
131. #16837551C22semidirect
132. #16837550C22semidirect
133. #16837546C22semidirect
135. #16837537C22semidirect
136. #16837537C22semidirect
138. #16837535C22semidirect
139. #16837535C22semidirect
140. #16837534C22semidirect
141. #16837534C22semidirect
142. #16837530C22semidirect
143. #16837530C22semidirect
146. #16837515C22semidirect
147. #16837515C22semidirect
148. #16837515C22semidirect
149. #16837515C22semidirect
150. #16837515C22semidirect
151. #16837515C22semidirect
152. #16837514C22semidirect
154. #16837512C22semidirect
155. #16837512C22semidirect
156. #16837512C22semidirect
157. #16837512C22semidirect
158. #16837512C22semidirect
159. #16837512C22semidirect
160. #16837511C22semidirect
161. #16837511C22semidirect
162. #16837500C22semidirect
163. #16837500C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
167. #16837482C22semidirect
168. #16837475C22semidirect
169. #16837475C22semidirect
170. #16837473C22semidirect
171. #16837473C22semidirect
172. C8×C22⋊D59C22semidirect
173. C8×C22⋊D59C22semidirect
174. #16837459C22semidirect
175. #16837457C22semidirect
176. #16837457C22semidirect
177. #16837443C22semidirect
178. C2×#14273659C22semidirect
179. #106×D59C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. C2×#14273649C22semidirect
183. C2×#14273649C22semidirect
184. #102×D59C22semidirect
185. #102×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
188. C59×#532C22semidirect
189. C59×#529C22semidirect
190. C59×#501C22semidirect
191. C59×#496C22semidirect
192. C59×#490C22semidirect
193. C59×#489C22semidirect
194. C59×#466C22semidirect
195. C59×#466C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C2×#97×C59C22semidirect
701. D472#41semidirect
776. C22⋊D59AGL(1,ℤ/8)semidirect
807. D236C2×#41semidirect
839. C8×C59C2×#41semidirect
923. #3180D59semidirect
978. #532C2×D59semidirect
981. #529C2×D59semidirect
996. #501C2×D59semidirect
999. #496C2×D59semidirect
1002. #490C2×D59semidirect
1004. #489C2×D59semidirect
1037. #466C2×D59semidirect
1038. #466C2×D59semidirect
1041. #465C2×D59semidirect
1042. #465C2×D59semidirect
1087. #442C2×D59semidirect
1088. #442C2×D59semidirect
1091. #440C2×D59semidirect
1092. #440C2×D59semidirect
1117. C2×#97C2×D59semidirect
1118. C59#61451semidirect
1759. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214375822
#214371352
#214369922
#214368852
#214368002
#214365722
#214365652
#214364482
#214362432
#214362362
#214360632
#214360562
#214359152
#214359042
#214357702
#214355752
#214355732
#214348312
#214347902
#214342452
#214342382
#214342302
#214341852
#214341832
#214331072
#214329012
C2×#168375152
#442×D592
C59×#31802
#6145159