Finite Group Databasebeta

← #29470739

Subgroups — #29470739

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437702C211yesmaximal, characteristic, complemented
2#21437691C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437044C211yesmaximal, characteristic, complemented
5#21436861C211yesmaximal, characteristic, complemented
6#21436852C211yesmaximal, characteristic, complemented
7#21436638C211yesmaximal, characteristic, complemented
8#21436585C211yesmaximal, characteristic, complemented
9#21436496C211yesmaximal, characteristic, complemented
10#21436235C211yesmaximal, characteristic, complemented
11#21436211C211yesmaximal, characteristic, complemented
12#21436139C211yesmaximal, characteristic, complemented
13#21436099C211yesmaximal, characteristic, complemented
14#21436002C211yesmaximal, characteristic, complemented
15#21435944C211yesmaximal, characteristic, complemented
16#21435796C211yesmaximal, characteristic, complemented
17#21435631C211yesmaximal, characteristic, complemented
18#21435584C211yesmaximal, characteristic, complemented
19#21434828C211yesmaximal, characteristic, complemented
20#21434795C211yesmaximal, characteristic, complemented
21#21434790C211yesmaximal, characteristic, complemented
22#21434245C211yesmaximal, characteristic, complemented
23#21434238C211yesmaximal, characteristic, complemented
24#21434211C211yesmaximal, characteristic, complemented
25#21434211C211yesmaximal, characteristic, complemented
26#21434188C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29#21432895C211yesmaximal, characteristic, complemented
30C2×#16837500C211yesmaximal, characteristic, complemented
31C59×#3117C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273750C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838137—21no—
36#16838137C2211yescharacteristic, complemented
37#16838134C2211yescharacteristic
38#16838131C2211yescharacteristic, complemented
39#16838125—21no—
40#16838125C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic
42#16838108C2211yescharacteristic
43#16838105C2211yescharacteristic
44#16838104C2211yescharacteristic
45#16838103—21no—
46#16838100—21no—
47#16838100—21no—
48#16838100C2211yescharacteristic
49#16838100C2211yescharacteristic, complemented
50#16838077—21no—
51#16838075—21no—
52#16838074C2211yescharacteristic, complemented
53#16838063C2211yescharacteristic
54#16838063C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic
56#16838044—21no—
57#16838043C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16837952—21no—
60#16837952C2211yescharacteristic, complemented
61#16837949C2211yescharacteristic
62#16837939—21no—
63#16837939—21no—
64#16837939C2211yescharacteristic
65#16837939C2211yescharacteristic, complemented
66#16837939C2211yescharacteristic, complemented
67#16837930—21no—
68#16837914—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745689C2211yescharacteristic, complemented
73C4×#11745685—21no—
74C4×#11745685C2211yescharacteristic
75C2×C4×D236C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837810C2211yescharacteristic, complemented
80#16837802C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837787C2211yescharacteristic, complemented
84#16837768C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic
86#16837763C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic
95#16837728C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic
103#16837704C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic
105#16837701C2211yescharacteristic, complemented
106#16837693C2211yescharacteristic
107#16837693C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837681C2211yescharacteristic, complemented
110#16837657C2211yescharacteristic, complemented
111#16837656C2211yescharacteristic
112#16837651C2211yescharacteristic
113#16837651C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic
117#16837636C2211yescharacteristic
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic
125#16837620C2211yescharacteristic
126#16837620C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic
129#16837598C2211yescharacteristic
130#16837598C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic
132#16837563C2211yescharacteristic
133#16837563C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic
135#16837550C2211yescharacteristic
136#16837550C2211yescharacteristic
137#16837550C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837538C2211yescharacteristic
140#16837538C2211yescharacteristic
141#16837537C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic
146#16837515C2211yescharacteristic, complemented
147#16837515C2211yescharacteristic, complemented
148#16837513C2211yescharacteristic
149#16837512C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837509C2211yescharacteristic, complemented
152#16837505C2211yescharacteristic
153#16837505C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic
158#16837500C2211yescharacteristic, complemented
159#16837500C2211yescharacteristic, complemented
160#16837500C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic
166#16837484C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic
171#16837470C2211yescharacteristic
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837437C2211yescharacteristic, complemented
178C2×#14273660C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837402C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic
182#16837397C2211yescharacteristic, complemented
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C2×C4×Q8×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic
192C59×#479C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#451C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic
198C59×#441C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685D411yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273754—24no—
215#14273750—24no—
216C2×#11745671—24no—
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×D472C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235#14273727—21no—
236#14273727C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273724—21no—
239#14273724C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273720—21no—
250#14273718—21no—
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273716—21no—
257#14273716—21no—
258#14273716C2311yescharacteristic
259#14273716C2311yescharacteristic
260#14273716C2311yescharacteristic
261#14273715—21no—
262#14273715—21no—
263#14273715—21no—
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273711—21no—
276#14273711—21no—
277#14273709—21no—
278#14273709—21no—
279#14273707—21no—
280#14273707—21no—
281#14273705—21no—
282#14273705—21no—
283#14273704—21no—
284#14273703—21no—
285#14273703—21no—
286#14273703C2311yescharacteristic
287#14273703C2311yescharacteristic
288#14273703C2311yescharacteristic
289#14273702—21no—
290#14273702—21no—
291#14273702—21no—
292#14273702—21no—
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701—21no—
301#14273701—21no—
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273695—21no—
313Q8×Dic59C2311yescharacteristic
314Q8×Dic59C2311yescharacteristic
315Q8×Dic59C2311yescharacteristic
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118D411yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×D236—21no—
321C4×D236—21no—
322C4×D236—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236—21no—
328C4×D236—21no—
329C4×D236—21no—
330C4×D236—21no—
331C4×D236D411yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339D4×Dic59—21no—
340D4×Dic59C2311yescharacteristic
341#14273689—21no—
342#14273689—21no—
343#14273689—21no—
344#14273689—21no—
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59D411yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362#14273686D411yescharacteristic
363#14273685—21no—
364#14273685—21no—
365#14273685—21no—
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684D411yescharacteristic
373#14273684D411yescharacteristic
374C2×C4⋊Dic59C2311yescharacteristic
375C4⋊C4×D59—21no—
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C42×D59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443#126×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449C4×Q8×C59—21no—
450C4×Q8×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459C2×C4⋊C4×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—22no—
485C2×Q8×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59C2×D411yescharacteristic
504C2×C22⋊D59C2×D411yescharacteristic
505C22×Dic59—21no—
506C22×Dic59—21no—
507#11745689—22no—
508#11745689—22no—
509#11745689—22no—
510#11745689—41no—
511#11745689—41no—
512#11745689—41no—
513D4×D59—22no—
514D4×D59—41no—
515D4×D59—44no—
516#11745685—42no—
517#11745685—44no—
518#11745685—82no—
519C2×D236—22no—
520C2×D236—21no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—41no—
531C2×D236C2×D411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—82no—
551C2×C4×D59—82no—
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2×D411yescharacteristic
561Q16×C59—22no—
562Q16×C59—41no—
563SD16×C59—22no—
564SD16×C59—41no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59—21no—
590C42×C59—21no—
591C42×C59—21no—
592C42×C59C2×D411yescharacteristic
593C42×C59C2×D411yescharacteristic
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59C2×D411yescharacteristic
599C22⋊Dic59C2×D411yescharacteristic
600#11745671—22no—
601#11745671—22no—
602#11745671—22no—
603#11745671—22no—
604#11745671—41no—
605#11745671#4114yescomplemented
606#11745669—22no—
607#11745669—41no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59C2×D411yescharacteristic
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C2×C59⋊C8—22no—
679C2×C59⋊C8—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472—22no—
686D472—41no—
687D472—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59C22×D411yescharacteristic
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—81no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705C22×D59C22×D411yescharacteristic
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—42no—
712Q8×C59C2×#4112yes—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—42no—
716C2×C4×C59—22no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—41no—
727C2×C4×C59—42no—
728C2×C4×C59—42no—
729C2×C4×C59—81no—
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C2511yescharacteristic
736C22⋊D59—22no—
737C22⋊D59—22no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—81no—
749C2×Dic59—81no—
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756D236—21no—
757D236—21no—
758D236—21no—
759D236—21no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—41no—
764D236—42no—
765D236—42no—
766D236—42no—
767D236—42no—
768D236—42no—
769D236—42no—
770D236—81no—
771D236—81no—
772D236—81no—
773D236—81no—
774D236C2×#4112yes—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—41no—
780C4×D59—41no—
781C4×D59—41no—
782C4×D59—41no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797Dic118—41no—
798Dic118—42no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59#57512yes—
815C22×C59C23×D411yescharacteristic
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—21no—
819C2×D59—21no—
820C2×D59—22no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—84no—
835C2×D59—84no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—22no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59C22×#4111yescharacteristic
849C4×C59#58511yescharacteristic
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117D5911yescharacteristic, complemented
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—81no—
893C2×C59D4×#4111yescharacteristic
894C2×C59C2×#57511yescharacteristic
895C2×C59#358511yescharacteristic
896D59—41no—
897D59—41no—
898D59—42no—
899D59—81no—
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16—591no—
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548—591no—
925#546—591no—
926#546—591no—
927#546—1181no—
928D42—591no—
929#532—591no—
930#532—591no—
931#532—1181no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—1181no—
936#529—1181no—
937#529—1181no—
938#529C2×D5911yescharacteristic
939#525—1181no—
940#525—1181no—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—1181no—
946C2×C4×Q8C2×D5911yescharacteristic, complemented
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484C2×D5911yescharacteristic, complemented
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481C2×D5911yescharacteristic
973#480—591no—
974#479—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#479C2×D5911yescharacteristic, complemented
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464C2×D5911yescharacteristic, complemented
1001#464C2×D5911yescharacteristic, complemented
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451C2×D5911yescharacteristic, complemented
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449—591no—
1018#448C2×D5911yescharacteristic
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441C2×D5911yescharacteristic, complemented
1033#441C2×D5911yescharacteristic, complemented
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440C2×D5911yescharacteristic, complemented
1047#440C2×D5911yescharacteristic, complemented
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432C2×D5911yescharacteristic, complemented
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41—1181no—
1080C22×Q8C22×D5911yescharacteristic
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16C22×D5911yescharacteristic
1089C2×Q16C22×D5911yescharacteristic
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—1184no—
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—1181no—
1114#127—591no—
1115#127—591no—
1116#127—1181no—
1117#126—21no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124—1181no—
1144#124C22×D5911yescharacteristic
1145#123—21no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#121C22×D5911yescharacteristic
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×Q8C22×D5911yescharacteristic
1206C4×Q8C22×D5911yescharacteristic
1207C4×Q8C22×D5911yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4C22×D5911yescharacteristic
1253#117—21no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—591no—
1259#117—591no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117—1181no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—21no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#103C22×D5911yescharacteristic
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—1181no—
1353C24—1181no—
1354#41—1182no—
1355#41—1182no—
1356#41—1182no—
1357#41—4722no—
1358#41—2362no—
1359#41—2364no—
1360#41—2361no—
1361#41—2361no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—22no—
1365C2×Q8—41no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C23×D5911yescharacteristic
1370C2×Q8C23×D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—21no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—1182no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1182no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—2361no—
1399C2×D4—2361no—
1400C2×D4—2364no—
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—4722no—
1428C22×C4—4722no—
1429C22×C4D4×D5911yescharacteristic
1430C22×C4D4×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—22no—
1433Q16—41no—
1434SD16—22no—
1435SD16—41no—
1436SD16—594no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—1182no—
1441SD16—2361no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—1182no—
1455C2×C8—1182no—
1456C2×C8—2361no—
1457C2×C8—2361no—
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—591no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42D4×D5911yescharacteristic
1560C42D4×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—591no—
1565C23—591no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—4721no—
1571C23—4721no—
1572C23—2362no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23C2×D4×D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—42no—
1583Q8—4721no—
1584Q8—2361no—
1585Q8—2362no—
1586Q8#41×D5912yes—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—592no—
1591D4—1182no—
1592D4—1182no—
1593D4—1181no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—4721no—
1601D4—4721no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—2361no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—41no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—2361no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2361no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4C2×D4×D5911yescharacteristic
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—592no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C22—21no—
1680C22—21no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—1181no—
1685C22—1181no—
1686C22—1181no—
1687C22—1181no—
1688C22—1182no—
1689C22—1181no—
1690C22—1181no—
1691C22—4724no—
1692C22—4724no—
1693C22—2361no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683820112yes—
1705C22C22×D4×D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C2×#41×D5911yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—22no—
1731C2—81no—
1732C2—4721no—
1733C2—4721no—
1734C2—4721no—
1735C2—2361no—
1736C2—2361no—
1737C2—2362no—
1738C2#2143757911yescharacteristic
1739C2C2×#1683820111yescharacteristic
1740C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3117C2
socleC22×C59C23×D4
hypercenter#3117D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
1. #21437702C2semidirect
2. #21437691C2semidirect
3. #21437183C2semidirect
4. #21437044C2semidirect
5. #21436861C2semidirect
6. #21436852C2semidirect
7. #21436638C2semidirect
8. #21436585C2semidirect
9. #21436496C2semidirect
10. #21436235C2semidirect
11. #21436211C2semidirect
12. #21436139C2semidirect
13. #21436099C2semidirect
14. #21436002C2semidirect
15. #21435944C2semidirect
16. #21435796C2semidirect
17. #21435631C2semidirect
18. #21435584C2semidirect
19. #21434828C2semidirect
20. #21434795C2semidirect
21. #21434790C2semidirect
22. #21434245C2semidirect
23. #21434238C2semidirect
24. #21434211C2semidirect
25. #21434211C2semidirect
26. #21434188C2semidirect
27. #21433105C2semidirect
28. #21432901C2semidirect
29. #21432895C2semidirect
30. C2×#16837500C2semidirect
31. C59×#3117C2semidirect
36. #16838137C22semidirect
38. #16838131C22semidirect
40. #16838125C22semidirect
49. #16838100C22semidirect
52. #16838074C22semidirect
54. #16838063C22semidirect
60. #16837952C22semidirect
65. #16837939C22semidirect
66. #16837939C22semidirect
71. C4×#11745689C22semidirect
72. C4×#11745689C22semidirect
78. #16837812C22semidirect
79. #16837810C22semidirect
80. #16837802C22semidirect
81. #16837792C22semidirect
83. #16837787C22semidirect
84. #16837768C22semidirect
86. #16837763C22semidirect
87. #16837761C22semidirect
88. #16837758C22semidirect
89. #16837758C22semidirect
90. #16837741C22semidirect
91. #16837741C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837725C22semidirect
97. #16837721C22semidirect
98. #16837721C22semidirect
99. #16837717C22semidirect
100. #16837707C22semidirect
101. #16837707C22semidirect
103. #16837704C22semidirect
105. #16837701C22semidirect
107. #16837693C22semidirect
108. #16837685C22semidirect
109. #16837681C22semidirect
110. #16837657C22semidirect
113. #16837651C22semidirect
114. #16837639C22semidirect
115. #16837637C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837633C22semidirect
121. #16837628C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
126. #16837620C22semidirect
127. #16837619C22semidirect
130. #16837598C22semidirect
133. #16837563C22semidirect
137. #16837550C22semidirect
138. #16837546C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
146. #16837515C22semidirect
147. #16837515C22semidirect
149. #16837512C22semidirect
150. #16837512C22semidirect
151. #16837509C22semidirect
153. #16837505C22semidirect
158. #16837500C22semidirect
159. #16837500C22semidirect
160. #16837500C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837500C22semidirect
164. SD16×Dic59C22semidirect
167. #16837482C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. #16837437C22semidirect
178. C2×#14273660C22semidirect
180. #16837402C22semidirect
182. #16837397C22semidirect
183. C2×#14273651C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
189. C2×C4×Q8×C59C22semidirect
190. C59×#484C22semidirect
192. C59×#479C22semidirect
193. C59×#479C22semidirect
194. C59×#464C22semidirect
195. C59×#464C22semidirect
196. C59×#451C22semidirect
198. C59×#441C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
605. #11745671#41semidirect
881. #3117D59semidirect
946. C2×C4×Q8C2×D59semidirect
964. #484C2×D59semidirect
976. #479C2×D59semidirect
977. #479C2×D59semidirect
1000. #464C2×D59semidirect
1001. #464C2×D59semidirect
1012. #451C2×D59semidirect
1032. #441C2×D59semidirect
1033. #441C2×D59semidirect
1046. #440C2×D59semidirect
1047. #440C2×D59semidirect
1060. #432C2×D59semidirect
1073. C59#61456semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214376912
#214371832
#214370442
#214368612
#214368522
#214366382
#214365852
#214364962
#214362352
#214362112
#214361392
#214360992
#214360022
#214359442
#214357962
#214356312
#214355842
#214348282
#214347952
#214347902
#214342452
#214342382
#214342112
#214341882
#214331052
#214329012
#214328952
C2×#168375002
C59×#31172
#6145659