Finite Group Databasebeta

← #29470631

Subgroups — #29470631

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437713C211yesmaximal, characteristic, complemented
2#21437582C211yesmaximal, characteristic, complemented
3#21437111C211yesmaximal, characteristic, complemented
4#21437020C211yesmaximal, characteristic, complemented
5#21436820C211yesmaximal, characteristic, complemented
6#21436817C211yesmaximal, characteristic, complemented
7#21436540C211yesmaximal, characteristic, complemented
8#21436533C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436124C211yesmaximal, characteristic, complemented
11#21436115C211yesmaximal, characteristic, complemented
12#21436091C211yesmaximal, characteristic, complemented
13#21436084C211yesmaximal, characteristic, complemented
14#21435954C211yesmaximal, characteristic, complemented
15#21435907C211yesmaximal, characteristic, complemented
16#21435785C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435584C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434790C211yesmaximal, characteristic, complemented
21#21434788C211yesmaximal, characteristic, complemented
22#21434245C211yesmaximal, characteristic, complemented
23#21434238C211yesmaximal, characteristic, complemented
24#21434236C211yesmaximal, characteristic, complemented
25#21434216C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29C2×#16837500C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3112C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273754C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36#16838128C2211yescharacteristic, complemented
37#16838124—21no—
38#16838124C2211yescharacteristic, complemented
39#16838093—21no—
40#16838093C2211yescharacteristic, complemented
41#16838087—21no—
42#16838087C2211yescharacteristic, complemented
43#16838072C2211yescharacteristic
44#16838067C2211yescharacteristic
45Q8×C22⋊D59C2211yescharacteristic, complemented
46#16838064C2211yescharacteristic, complemented
47#16838063C2211yescharacteristic, complemented
48#16838060—21no—
49#16838055C2211yescharacteristic
50#16838053—21no—
51#16838053C2211yescharacteristic, complemented
52#16838052C2211yescharacteristic
53#16838052C2211yescharacteristic
54#16838045—21no—
55#16838041—21no—
56#16838041—21no—
57#16838037C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic
60#16837956—21no—
61#16837956C2211yescharacteristic, complemented
62#16837949C2211yescharacteristic
63#16837949C2211yescharacteristic
64#16837939—21no—
65#16837939C2211yescharacteristic, complemented
66#16837936—21no—
67#16837936C2211yescharacteristic, complemented
68#16837911—21no—
69#16837911—21no—
70#16837909—21no—
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745685—21no—
73C4×#11745685C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×C4×D236C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837766C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837764C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic
103#16837703C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic
123#16837619C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic
125#16837618C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic
127#16837605C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic, complemented
132#16837555C2211yescharacteristic
133#16837554C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837551C2211yescharacteristic
136#16837550C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic, complemented
140#16837538C2211yescharacteristic
141#16837537C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic, complemented
147#16837512C2211yescharacteristic, complemented
148#16837505C2211yescharacteristic
149#16837504C2211yescharacteristic
150#16837504C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic
158#16837500C2211yescharacteristic
159#16837500C2211yescharacteristic, complemented
160#16837500C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic
166#16837484C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177C2×#14273660C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837402C2211yescharacteristic, complemented
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic
189C2×C4×Q8×C59C2211yescharacteristic, complemented
190C59×#480C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#477C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#460C2211yescharacteristic, complemented
196C59×#448C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#440C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, 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—
214C2×Q8×D59C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224#14273754—24no—
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671—24no—
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—24no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273726—21no—
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725—21no—
250#14273725C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273721—21no—
257#14273721—21no—
258#14273721—21no—
259#14273719—21no—
260#14273719C2311yescharacteristic
261#14273718—21no—
262#14273718C2311yescharacteristic
263#14273717—21no—
264#14273717—21no—
265#14273717—21no—
266#14273716—21no—
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273710—21no—
278#14273710—21no—
279#14273710—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273707—21no—
285#14273707C2311yescharacteristic
286#14273706—21no—
287#14273706C2311yescharacteristic
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273701—21no—
306#14273701C2311yescharacteristic
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273699—21no—
312#14273699—21no—
313#14273698—21no—
314#14273698—21no—
315#14273698C2311yescharacteristic
316#14273698C2311yescharacteristic
317#14273697—21no—
318#14273697—21no—
319#14273695—21no—
320#14273695—21no—
321#14273695—21no—
322#14273695—21no—
323Q8×Dic59C2311yescharacteristic
324Q8×Dic59C2311yescharacteristic
325C4×Dic118—21no—
326C4×Dic118—21no—
327C4×Dic118—21no—
328C4×Dic118D411yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331#14273692—21no—
332#14273692C2311yescharacteristic
333C4×D236—21no—
334C4×D236—21no—
335C4×D236—21no—
336C4×D236—21no—
337C4×D236—21no—
338C4×D236D411yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345D4×Dic59C2311yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689—21no—
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350#14273689C2311yescharacteristic
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59D411yescharacteristic
359C4×C22⋊D59D411yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686—21no—
365#14273686D411yescharacteristic
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273684D411yescharacteristic
374#14273684D411yescharacteristic
375C2×C4⋊Dic59C2311yescharacteristic
376C4⋊C4×D59—21no—
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C42×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C22×Q8×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#124×C59—21no—
448#121×C59—21no—
449#121×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×Q8×C59—21no—
452C4×Q8×C59—21no—
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×D4×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C2×C4⋊C4×C59—21no—
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C42×C59—21no—
463C2×C42×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—22no—
489C2×Q8×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—41no—
521#11745689—44no—
522Q8×D59—22no—
523Q8×D59—41no—
524Q8×D59—44no—
525#11745687—44no—
526#11745687—44no—
527#11745687—44no—
528D4×D59—22no—
529D4×D59—22no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—44no—
533D4×D59—44no—
534D4×D59—44no—
535#11745685—24no—
536#11745685—44no—
537#11745685—44no—
538#11745685—44no—
539C2×D236—22no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—41no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—44no—
564C2×C4×D59—44no—
565C2×C4×D59—44no—
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2411yescharacteristic
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—22no—
580SD16×C59—41no—
581SD16×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C42×C59—21no—
601C42×C59—21no—
602C42×C59—21no—
603C42×C59—21no—
604C42×C59C2×D411yescharacteristic
605C42×C59C2×D411yescharacteristic
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745671—22no—
616#11745671—22no—
617#11745671—22no—
618#11745671#4114yescomplemented
619#11745670—22no—
620#11745670—41no—
621#11745669—22no—
622#11745669—41no—
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)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689C2×C59⋊C8—22no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—41no—
697#11745660—22no—
698#11745660—41no—
699#11745659—22no—
700#11745659—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59C22×D411yescharacteristic
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—42no—
724Q8×C59—42no—
725Q8×C59C2×#4112yescomplemented
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—42no—
731D4×C59—42no—
732D4×C59—42no—
733D4×C59—81no—
734C2×C4×C59—22no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—41no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C2511yescharacteristic
754C22⋊D59—22no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59AGL(1,ℤ/8)14yescomplemented
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779D236—22no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—42no—
786D236—42no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236C2×#4112yes—
791C4×D59—22no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—22no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812Dic118—22no—
813Dic118—21no—
814Dic118—21no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118—42no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8C2×#4112yescomplemented
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59C2×AGL(1,ℤ/8)12yes—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—22no—
843C2×D59—21no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—84no—
853C2×D59—84no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—22no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C22×#4111yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
898#3182—591no—
899#3180—591no—
900#3180—591no—
901#3115—591no—
902#3114—591no—
903#3114—591no—
904#3112—591no—
905#3112D5911yescharacteristic, complemented
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440—591no—
911C2×C59—22no—
912C2×C59—81no—
913C2×C59—81no—
914C2×C59D4×#4111yescharacteristic
915C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
916C2×C59#358611yescharacteristic
917D59—22no—
918D59—41no—
919D59—42no—
920D59—81no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16—591no—
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—591no—
938#548—1181no—
939#547—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#547—1181no—
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42—591no—
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532C2×D5911yescharacteristic
955#529—591no—
956#529—591no—
957#529—1181no—
958#529—1181no—
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8C2×D5911yescharacteristic, complemented
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4—591no—
970#501—591no—
971#501—591no—
972#500—591no—
973#496—591no—
974#496—591no—
975#492—591no—
976#490—591no—
977#490—591no—
978#489—591no—
979#489—591no—
980#487—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#483—591no—
985#483—591no—
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480C2×D5911yescharacteristic, complemented
993#480C2×D5911yescharacteristic, complemented
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#477—591no—
999#477—591no—
1000#477C2×D5911yescharacteristic, complemented
1001#477C2×D5911yescharacteristic, complemented
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460C2×D5911yescharacteristic, complemented
1028#460C2×D5911yescharacteristic, complemented
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450—591no—
1034#449—591no—
1035#449—591no—
1036#448—591no—
1037#448—591no—
1038#448C2×D5911yescharacteristic, complemented
1039#448C2×D5911yescharacteristic, complemented
1040#447—591no—
1041#447—591no—
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442—591no—
1047#442—591no—
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440C2×D5911yescharacteristic, complemented
1065#440C2×D5911yescharacteristic, complemented
1066#440C2×D5911yescharacteristic, complemented
1067#440C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432C2×D5911yescharacteristic, complemented
1081#428—591no—
1082C2×#107—591no—
1083C2×#107—591no—
1084#418—591no—
1085#417—591no—
1086C2×#103—591no—
1087C2×#103—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97—591no—
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—21no—
1095C2×#41—591no—
1096C2×#41—591no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—591no—
1106C22×Q8—1181no—
1107C22×Q8C22×D5911yescharacteristic
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C22×D4—1181no—
1114C23×C4—1181no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—1184no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—1184no—
1127C2×SD16—1184no—
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×M16—591no—
1137C2×M16—591no—
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8—591no—
1141C22×C8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—1181no—
1147C4⋊Q8—1181no—
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127C22×D5911yescharacteristic
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#124—21no—
1166#124—591no—
1167#124—591no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#123—1181no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—591no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201#121—21no—
1202#121—591no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121C22×D5911yescharacteristic
1219#121C22×D5911yescharacteristic
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—1181no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8C22×D5911yescharacteristic
1239C4×Q8C22×D5911yescharacteristic
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—591no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—591no—
1292C2×C4⋊C4—1181no—
1293C2×C4⋊C4C22×D5911yescharacteristic
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—21no—
1298C2×C42—591no—
1299C2×C42—591no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42C22×D5911yescharacteristic
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107C22×D5911yescharacteristic
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8C22×D5911yescharacteristic
1324C4⋊C8C22×D5911yescharacteristic
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8C22×D5911yescharacteristic
1362C22⋊C8C22×D5911yescharacteristic
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369#97C22×D5911yescharacteristic
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—1181no—
1374C24—1181no—
1375C24—1181no—
1376#41—44no—
1377#41—1184no—
1378#41—1182no—
1379#41—2364no—
1380#41—2364no—
1381#41—2364no—
1382#41—2361no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2364no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—41no—
1391C2×Q8—591no—
1392C2×Q8—591no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2361no—
1399C2×Q8—2364no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—1182no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1182no—
1424C2×D4—1182no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4—2364no—
1433C2×D4—2364no—
1434C2×D4—2364no—
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—2364no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4D4×D5911yescharacteristic
1467C22×C4D4×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473SD16—594no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—1182no—
1478SD16—1182no—
1479SD16—2361no—
1480SD16—2361no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485M16—1182no—
1486M16—2361no—
1487C2×C8—591no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—1182no—
1492C2×C8—1182no—
1493C2×C8—2361no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42D4×D5911yescharacteristic
1591C42D4×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—591no—
1597C23—591no—
1598C23—1181no—
1599C23—1181no—
1600C23—1181no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—2362no—
1605C23—2362no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23—2362no—
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—42no—
1616Q8—1182no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8#41×D5912yescomplemented
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—42no—
1629D4—42no—
1630D4—42no—
1631D4—81no—
1632D4—594no—
1633D4—592no—
1634D4—1182no—
1635D4—1182no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—4721no—
1642D4—4721no—
1643D4—2362no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—1182no—
1676C2×C4—1182no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—2361no—
1687C2×C4—2361no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4C2×D4×D5911yescharacteristic
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—592no—
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
1718C22—21no—
1719C22—21no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—592no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—1181no—
1731C22—1182no—
1732C22—1181no—
1733C22—4724no—
1734C22—4724no—
1735C22—4724no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—21no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—592no—
1758C4—1181no—
1759C4—1181no—
1760C4—1181no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C2×#41×D5911yescharacteristic
1769C4#1683823811yescharacteristic
1770C2—22no—
1771C2—81no—
1772C2—81no—
1773C2—1182no—
1774C2—4721no—
1775C2—4721no—
1776C2—2361no—
1777C2—2362no—
1778C2#2143757911yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3112C2
socleC22×C59C23×D4
hypercenter#3112D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3112

Complements

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

NH ≅ G/Ntype
1. #21437713C2semidirect
2. #21437582C2semidirect
3. #21437111C2semidirect
4. #21437020C2semidirect
5. #21436820C2semidirect
6. #21436817C2semidirect
7. #21436540C2semidirect
8. #21436533C2semidirect
9. #21436438C2semidirect
10. #21436124C2semidirect
11. #21436115C2semidirect
12. #21436091C2semidirect
13. #21436084C2semidirect
14. #21435954C2semidirect
15. #21435907C2semidirect
16. #21435785C2semidirect
17. #21435586C2semidirect
18. #21435584C2semidirect
19. #21434811C2semidirect
20. #21434790C2semidirect
21. #21434788C2semidirect
22. #21434245C2semidirect
23. #21434238C2semidirect
24. #21434236C2semidirect
25. #21434216C2semidirect
26. #21434193C2semidirect
27. #21433105C2semidirect
28. #21432901C2semidirect
29. C2×#16837500C2semidirect
30. #440×D59C2semidirect
31. C59×#3112C2semidirect
36. #16838128C22semidirect
38. #16838124C22semidirect
40. #16838093C22semidirect
42. #16838087C22semidirect
45. Q8×C22⋊D59C22semidirect
46. #16838064C22semidirect
47. #16838063C22semidirect
51. #16838053C22semidirect
61. #16837956C22semidirect
65. #16837939C22semidirect
67. #16837936C22semidirect
71. C4×#11745689C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837806C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837773C22semidirect
84. #16837766C22semidirect
85. #16837765C22semidirect
86. #16837764C22semidirect
87. #16837763C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837733C22semidirect
93. #16837731C22semidirect
94. #16837729C22semidirect
95. #16837725C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837716C22semidirect
99. #16837714C22semidirect
101. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837696C22semidirect
105. #16837695C22semidirect
106. #16837685C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837639C22semidirect
115. #16837637C22semidirect
116. #16837636C22semidirect
117. #16837636C22semidirect
118. #16837634C22semidirect
119. #16837629C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
123. #16837619C22semidirect
125. #16837618C22semidirect
127. #16837605C22semidirect
128. #16837601C22semidirect
129. #16837600C22semidirect
130. #16837600C22semidirect
131. #16837596C22semidirect
136. #16837550C22semidirect
137. #16837546C22semidirect
138. #16837542C22semidirect
139. #16837539C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
145. #16837515C22semidirect
146. #16837512C22semidirect
147. #16837512C22semidirect
150. #16837504C22semidirect
151. #16837503C22semidirect
152. #16837502C22semidirect
153. #16837502C22semidirect
159. #16837500C22semidirect
160. #16837500C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837499C22semidirect
164. SD16×Dic59C22semidirect
167. #16837482C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. C2×#14273660C22semidirect
178. #107×D59C22semidirect
180. #16837402C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
189. C2×C4×Q8×C59C22semidirect
190. C59×#480C22semidirect
191. C59×#480C22semidirect
192. C59×#477C22semidirect
193. C59×#477C22semidirect
194. C59×#460C22semidirect
195. C59×#460C22semidirect
196. C59×#448C22semidirect
197. C59×#448C22semidirect
198. C59×#440C22semidirect
199. C59×#440C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
618. #11745671#41semidirect
725. Q8×C59C2×#41semidirect
764. C22⋊D59AGL(1,ℤ/8)semidirect
826. C59⋊C8C2×#41semidirect
905. #3112D59semidirect
966. C2×C4×Q8C2×D59semidirect
992. #480C2×D59semidirect
993. #480C2×D59semidirect
1000. #477C2×D59semidirect
1001. #477C2×D59semidirect
1027. #460C2×D59semidirect
1028. #460C2×D59semidirect
1038. #448C2×D59semidirect
1039. #448C2×D59semidirect
1064. #440C2×D59semidirect
1065. #440C2×D59semidirect
1066. #440C2×D59semidirect
1067. #440C2×D59semidirect
1080. #432C2×D59semidirect
1093. C59#61452semidirect
1623. Q8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377132
#214375822
#214371112
#214370202
#214368202
#214368172
#214365402
#214365332
#214364382
#214361242
#214361152
#214360912
#214360842
#214359542
#214359072
#214357852
#214355862
#214355842
#214348112
#214347902
#214347882
#214342452
#214342382
#214342362
#214342162
#214341932
#214331052
#214329012
C2×#168375002
#440×D592
C59×#31122
#6145259