Finite Group Databasebeta

← #29470604

Subgroups — #29470604

Order 15104.

2178 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21437139C211yesmaximal, characteristic, complemented
4#21436996C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436804C211yesmaximal, characteristic, complemented
7#21436571C211yesmaximal, characteristic, complemented
8#21436562C211yesmaximal, characteristic, complemented
9#21436449C211yesmaximal, characteristic, complemented
10#21436242C211yesmaximal, characteristic, complemented
11#21436233C211yesmaximal, characteristic, complemented
12#21436062C211yesmaximal, characteristic, complemented
13#21436053C211yesmaximal, characteristic, complemented
14#21435916C211yesmaximal, characteristic, complemented
15#21435905C211yesmaximal, characteristic, complemented
16D8×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435576C211yesmaximal, characteristic, complemented
19#21434831C211yesmaximal, characteristic, complemented
20#21434794C211yesmaximal, characteristic, complemented
21#21434792C211yesmaximal, characteristic, complemented
22#21434243C211yesmaximal, characteristic, complemented
23#21434234C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434187C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21434185C211yesmaximal, characteristic, complemented
28#21433107C211yesmaximal, characteristic, complemented
29#21432907C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C2×C59×#442C211yesmaximal, characteristic, complemented
32C22×#11745685—21no—
33C2×#14273751C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838111C2211yescharacteristic, complemented
37#16838107C2211yescharacteristic, complemented
38#16838102C2211yescharacteristic, complemented
39#16838101—21no—
40#16838100C2211yescharacteristic, complemented
41#16838081—21no—
42#16838078—21no—
43#16838073C2211yescharacteristic, complemented
44D4×Dic118C2211yescharacteristic, complemented
45#16838061—21no—
46#16838057C2211yescharacteristic, complemented
47#16838053C2211yescharacteristic
48#16838053C2211yescharacteristic, complemented
49#16838048—21no—
50#16838047C2211yescharacteristic, complemented
51#16838046C2211yescharacteristic, complemented
52#16838042—21no—
53#16838042—21no—
54#16838042—21no—
55D4×D236C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16837952C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic, complemented
61#16837949C2211yescharacteristic, complemented
62#16837949C2211yescharacteristic, complemented
63#16837936C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837913—21no—
67#16837913—21no—
68#16837911—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×C22⋊D59—21no—
74C4×D4×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77#16837811C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837767C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837734C2211yescharacteristic, complemented
90#16837732C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837692C2211yescharacteristic, complemented
106#16837692C2211yescharacteristic, complemented
107#16837691C2211yescharacteristic, complemented
108#16837691C2211yescharacteristic, complemented
109#16837690C2211yescharacteristic, complemented
110#16837690C2211yescharacteristic, complemented
111#16837686C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic, complemented
113#16837656C2211yescharacteristic, complemented
114#16837654C2211yescharacteristic, complemented
115#16837654C2211yescharacteristic, complemented
116#16837652C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic, complemented
119#16837637C2211yescharacteristic, complemented
120#16837635C2211yescharacteristic, complemented
121#16837632C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837630C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837597C2211yescharacteristic, complemented
131#16837597C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837595C2211yescharacteristic
135#16837595C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic, complemented
142#16837537C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic, complemented
146#16837534C2211yescharacteristic
147#16837534C2211yescharacteristic, complemented
148#16837534C2211yescharacteristic, complemented
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837515C2211yescharacteristic, complemented
152#16837515C2211yescharacteristic, complemented
153#16837514C2211yescharacteristic
154#16837513C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic, complemented
157#16837512C2211yescharacteristic, complemented
158#16837512C2211yescharacteristic, complemented
159#16837512C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic
170#16837482C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837457C2211yescharacteristic, complemented
180#16837441C2211yescharacteristic, complemented
181#106×D59C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C22×D8×C59C2211yescharacteristic
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic, complemented
191C59×#442C2211yescharacteristic
192C59×#442C2211yescharacteristic
193C59×#442C2211yescharacteristic, complemented
194C59×#442C2211yescharacteristic, complemented
195C59×#442C2211yescharacteristic, complemented
196C59×#442C2211yescharacteristic, complemented
197C59×#442C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C2×#106×C59C2211yescharacteristic, complemented
200C2×#102×C59C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—48no—
212C2×#11745685D411yescharacteristic
213C2×#11745687C2311yescharacteristic
214C22×Dic118—21no—
215C22×D236—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225#14273751—24no—
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238D8×D59—24no—
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273715—21no—
259#14273715C2311yescharacteristic
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273710—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273708—21no—
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706—21no—
282#14273706—21no—
283#14273706—21no—
284#14273706C2311yescharacteristic
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273701—21no—
296#14273701—21no—
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273698C2311yescharacteristic
316#14273698C2311yescharacteristic
317#14273697—21no—
318#14273697—21no—
319#14273697—21no—
320#14273696—21no—
321#14273696—21no—
322#14273696—21no—
323#14273696—21no—
324#14273695—21no—
325#14273695—21no—
326#14273695—21no—
327C4×Dic118D411yescharacteristic
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236D411yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59D411yescharacteristic
358C4×C22⋊D59D411yescharacteristic
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686—21no—
366#14273686D411yescharacteristic
367#14273685C2311yescharacteristic
368#14273684—21no—
369#14273684D411yescharacteristic
370#14273684D411yescharacteristic
371#14273683—21no—
372C2×Dic59⋊C4—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C2×C22⋊Dic59—21no—
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59—21no—
382C42×D59C2311yescharacteristic
383C42×D59C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C23×C4×C59—21no—
441C23×C4×C59—21no—
442C2×D8×C59—24no—
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C22×C8×C59C2311yescharacteristic
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464C2×C22⋊C4×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C24×C59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×D4×C59—22no—
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—41no—
492C2×D4×C59—41no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—44no—
508C22×C4×C59—82no—
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2×D411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—44no—
531C2×C22⋊D59—44no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539#11745687—22no—
540#11745687—41no—
541D4×D59—22no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—41no—
547#11745685—24no—
548#11745685—44no—
549#11745685—44no—
550#11745685—44no—
551#11745685—44no—
552#11745685—44no—
553#11745685—44no—
554#11745685—44no—
555#11745685—82no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—44no—
562C2×D236C2×D411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—44no—
576C2×C4×D59—44no—
577C2×C4×D59—82no—
578C2×C4×D59C2×D411yescharacteristic
579C2×C4×D59C2×D411yescharacteristic
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—44no—
589C2×Dic118C2×D411yescharacteristic
590C2×Dic118C2411yescharacteristic
591D8×C59—22no—
592D8×C59—22no—
593D8×C59—22no—
594D8×C59#4114yescomplemented
595C2×C8×C59—22no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632#11745670—22no—
633#11745670—41no—
634#11745669—22no—
635#11745669—22no—
636#11745669—22no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—41no—
700#11745660—22no—
701#11745660—41no—
702#11745659—22no—
703#11745659—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—42no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59C2×#4112yes—
740D4×C59C2×#4112yescomplemented
741C2×C4×C59—22no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—41no—
749C2×C4×C59—42no—
750C2×C4×C59—42no—
751C2×C4×C59—42no—
752C2×C4×C59—42no—
753C2×C4×C59—42no—
754C2×C4×C59—42no—
755C2×C4×C59—42no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C2511yescharacteristic
765C22⋊D59—22no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59AGL(1,ℤ/8)14yescomplemented
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800D236—22no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—42no—
808D236—42no—
809D236—42no—
810D236—81no—
811D236—81no—
812C4×D59—22no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—22no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—81no—
828C4×D59—81no—
829Dic118—22no—
830Dic118—21no—
831Dic118—21no—
832Dic118—42no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59C2×#4112yescomplemented
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8—21no—
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—22no—
848C22×C59—22no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—84no—
860C22×C59—84no—
861C22×C59C2×AGL(1,ℤ/8)12yes—
862C22×C59C23×D411yescharacteristic
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—84no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59C22×#4111yescharacteristic
891C4×C59#58511yescharacteristic
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264—591no—
921#3184—591no—
922#3180—591no—
923#3180—591no—
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109—591no—
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442D5911yescharacteristic, complemented
934C2×C59—22no—
935C2×C59—42no—
936C2×C59—42no—
937C2×C59—81no—
938C2×C59—81no—
939C2×C59D4×#4111yescharacteristic
940C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
941C2×C59#358511yescharacteristic
942D59—22no—
943D59—41no—
944D59—81no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)—591no—
949C22×D8—591no—
950C22×D8C2×D5911yescharacteristic
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—591no—
956#553—1181no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546—1181no—
971D42—591no—
972D42—591no—
973D42—591no—
974D42—591no—
975#532—591no—
976#532—591no—
977#532—591no—
978#532—591no—
979#529—591no—
980#529—591no—
981#529—1181no—
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—1181no—
993C2×C4×D4C2×D5911yescharacteristic, complemented
994C2×C4×D4C2×D5911yescharacteristic, complemented
995#501—591no—
996#501—591no—
997#498—591no—
998#496—591no—
999#496—591no—
1000#493—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#489—591no—
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482—591no—
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481—591no—
1016#481—591no—
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478—591no—
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476—591no—
1028#476—591no—
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469—591no—
1035#466—591no—
1036#466—591no—
1037#466—591no—
1038#466—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#449—591no—
1058#449—591no—
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447—591no—
1066#447—591no—
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442C2×D5911yescharacteristic
1082#442C2×D5911yescharacteristic
1083#442C2×D5911yescharacteristic, complemented
1084#442C2×D5911yescharacteristic, complemented
1085#442C2×D5911yescharacteristic, complemented
1086#442C2×D5911yescharacteristic, complemented
1087#442C2×D5911yescharacteristic, complemented
1088#442C2×D5911yescharacteristic, complemented
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432—591no—
1106#428—591no—
1107C2×#106—591no—
1108C2×#106C2×D5911yescharacteristic, complemented
1109#418—591no—
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102C2×D5911yescharacteristic, complemented
1114C2×#102C2×D5911yescharacteristic, complemented
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97C2×D5911yescharacteristic, complemented
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—1181no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1181no—
1129C2×#41—2368no—
1130C22×Q8—1181no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—1181no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4C22×D5911yescharacteristic
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—21no—
1141C23×C4—21no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—1184no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×SD16—591no—
1150C2×D8—24no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—1184no—
1160C2×D8C22×D5911yescharacteristic
1161C2×D8C22×D5911yescharacteristic
1162C2×D8C22×D5911yescharacteristic
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16—591no—
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8C22×D5911yescharacteristic
1169C22×C8C22×D5911yescharacteristic
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8—591no—
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127—591no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—1181no—
1185#124—591no—
1186#124—591no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219#121—591no—
1220#121—591no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4C22×D5911yescharacteristic
1297C4×D4C22×D5911yescharacteristic
1298C4×D4C22×D5911yescharacteristic
1299C4×D4C22×D5911yescharacteristic
1300C4×D4C22×D5911yescharacteristic
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—591no—
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4C22×D5911yescharacteristic
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—21no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—1181no—
1327C2×C42C22×D5911yescharacteristic
1328#107—591no—
1329#107—591no—
1330#107—591no—
1331#107—591no—
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342#106C22×D5911yescharacteristic
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97C22×D5911yescharacteristic
1393#97C22×D5911yescharacteristic
1394#97C22×D5911yescharacteristic
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—21no—
1399C24—21no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—1184no—
1404#41—1182no—
1405#41—4722no—
1406#41—2364no—
1407#41—2364no—
1408#41—2364no—
1409#41—2364no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2361no—
1414C2×Q8—591no—
1415C2×Q8—591no—
1416C2×Q8—1181no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—1181no—
1420C2×Q8—2364no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1182no—
1446C2×D4—1182no—
1447C2×D4—1182no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—2364no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4—2364no—
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—44no—
1480C22×C4—82no—
1481C22×C4—591no—
1482C22×C4—591no—
1483C22×C4—591no—
1484C22×C4—591no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—4722no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4D4×D5911yescharacteristic
1505C22×C4D4×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—1182no—
1508SD16—1182no—
1509SD16—2361no—
1510SD16—2361no—
1511D8—22no—
1512D8—22no—
1513D8—22no—
1514D8—1182no—
1515D8—1182no—
1516D8—1182no—
1517D8—1182no—
1518D8—2361no—
1519D8—2361no—
1520D8—2361no—
1521D8—2361no—
1522D8#1174568514yescomplemented
1523M16—1182no—
1524M16—2361no—
1525C2×C8—22no—
1526C2×C8—41no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—591no—
1531C2×C8—1182no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4C23×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42D4×D5911yescharacteristic
1619C42D4×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—591no—
1633C23—591no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23—2362no—
1646C23C2×D4×D5911yescharacteristic
1647Q8—1182no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—4721no—
1651Q8—2362no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—594no—
1663D4—1182no—
1664D4—1182no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—2362no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4C2×#1174568512yes—
1694D4C2×#1174568512yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—591no—
1718C2×C4—591no—
1719C2×C4—1182no—
1720C2×C4—1182no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C8C2×#1174568512yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—84no—
1776C22—592no—
1777C22—1181no—
1778C22—1181no—
1779C22—1181no—
1780C22—1181no—
1781C22—1181no—
1782C22—4724no—
1783C22—4724no—
1784C22—4724no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—592no—
1806C4—1181no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—2361no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C22×#1174568511yescharacteristic
1817C4#1683823811yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—1182no—
1824C2—4721no—
1825C2—4721no—
1826C2—4721no—
1827C2—2361no—
1828C2D4×#1174568511yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#442C2
socleC22×C59C23×D4
hypercenterC2×#442D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #21437700C2semidirect
2. D4×#11745685C2semidirect
3. #21437139C2semidirect
4. #21436996C2semidirect
5. #21436889C2semidirect
6. #21436804C2semidirect
7. #21436571C2semidirect
8. #21436562C2semidirect
9. #21436449C2semidirect
10. #21436242C2semidirect
11. #21436233C2semidirect
12. #21436062C2semidirect
13. #21436053C2semidirect
14. #21435916C2semidirect
15. #21435905C2semidirect
16. D8×C22⋊D59C2semidirect
17. #21435578C2semidirect
18. #21435576C2semidirect
19. #21434831C2semidirect
20. #21434794C2semidirect
21. #21434792C2semidirect
22. #21434243C2semidirect
23. #21434234C2semidirect
24. #21434232C2semidirect
25. #21434187C2semidirect
26. #21434185C2semidirect
27. #21434185C2semidirect
28. #21433107C2semidirect
29. #21432907C2semidirect
30. #442×D59C2semidirect
31. C2×C59×#442C2semidirect
35. #16838135C22semidirect
36. #16838111C22semidirect
37. #16838107C22semidirect
38. #16838102C22semidirect
40. #16838100C22semidirect
43. #16838073C22semidirect
44. D4×Dic118C22semidirect
46. #16838057C22semidirect
48. #16838053C22semidirect
50. #16838047C22semidirect
51. #16838046C22semidirect
55. D4×D236C22semidirect
57. D4×C22⋊D59C22semidirect
58. D4×C22⋊D59C22semidirect
59. #16837952C22semidirect
60. #16837949C22semidirect
61. #16837949C22semidirect
62. #16837949C22semidirect
63. #16837936C22semidirect
64. #16837934C22semidirect
72. C4×#11745687C22semidirect
74. C4×D4×D59C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. #16837811C22semidirect
78. #16837809C22semidirect
79. #16837799C22semidirect
80. #16837791C22semidirect
81. #16837790C22semidirect
82. #16837777C22semidirect
83. #16837767C22semidirect
84. #16837765C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837734C22semidirect
90. #16837732C22semidirect
91. #16837728C22semidirect
92. #16837724C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837720C22semidirect
96. #16837720C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837702C22semidirect
102. #16837702C22semidirect
103. #16837701C22semidirect
104. #16837700C22semidirect
105. #16837692C22semidirect
106. #16837692C22semidirect
107. #16837691C22semidirect
108. #16837691C22semidirect
109. #16837690C22semidirect
110. #16837690C22semidirect
111. #16837686C22semidirect
112. #16837680C22semidirect
113. #16837656C22semidirect
114. #16837654C22semidirect
115. #16837654C22semidirect
116. #16837652C22semidirect
117. #16837638C22semidirect
118. #16837638C22semidirect
119. #16837637C22semidirect
120. #16837635C22semidirect
121. #16837632C22semidirect
122. #16837631C22semidirect
123. #16837631C22semidirect
124. #16837630C22semidirect
125. #16837617C22semidirect
126. #16837617C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837601C22semidirect
130. #16837597C22semidirect
131. #16837597C22semidirect
132. #16837596C22semidirect
133. #16837596C22semidirect
135. #16837595C22semidirect
136. #16837595C22semidirect
137. #16837554C22semidirect
138. #16837553C22semidirect
139. #16837548C22semidirect
140. #16837544C22semidirect
141. #16837537C22semidirect
142. #16837537C22semidirect
144. #16837536C22semidirect
145. #16837536C22semidirect
147. #16837534C22semidirect
148. #16837534C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
151. #16837515C22semidirect
152. #16837515C22semidirect
154. #16837513C22semidirect
155. #16837512C22semidirect
156. #16837512C22semidirect
157. #16837512C22semidirect
158. #16837512C22semidirect
159. #16837512C22semidirect
160. #16837512C22semidirect
161. #16837511C22semidirect
162. #16837511C22semidirect
163. #16837504C22semidirect
164. #16837504C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
167. #16837493C22semidirect
168. #16837489C22semidirect
170. #16837482C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. C8×C22⋊D59C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837459C22semidirect
178. #16837457C22semidirect
179. #16837457C22semidirect
180. #16837441C22semidirect
181. #106×D59C22semidirect
182. #16837405C22semidirect
183. #16837400C22semidirect
184. #102×D59C22semidirect
185. #102×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C2×C4×D4×C59C22semidirect
193. C59×#442C22semidirect
194. C59×#442C22semidirect
195. C59×#442C22semidirect
196. C59×#442C22semidirect
197. C59×#442C22semidirect
198. C59×#442C22semidirect
199. C2×#106×C59C22semidirect
200. C2×#102×C59C22semidirect
201. C2×#102×C59C22semidirect
202. C2×#97×C59C22semidirect
594. D8×C59#41semidirect
740. D4×C59C2×#41semidirect
783. C22⋊D59AGL(1,ℤ/8)semidirect
839. C8×C59C2×#41semidirect
933. C2×#442D59semidirect
993. C2×C4×D4C2×D59semidirect
994. C2×C4×D4C2×D59semidirect
1083. #442C2×D59semidirect
1084. #442C2×D59semidirect
1085. #442C2×D59semidirect
1086. #442C2×D59semidirect
1087. #442C2×D59semidirect
1088. #442C2×D59semidirect
1108. C2×#106C2×D59semidirect
1113. C2×#102C2×D59semidirect
1114. C2×#102C2×D59semidirect
1117. C2×#97C2×D59semidirect
1118. C59#61451semidirect
1522. D8#11745685semidirect
1694. D4C2×#11745685semidirect
1759. C8C2×#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377002
D4×#117456852
#214371392
#214369962
#214368892
#214368042
#214365712
#214365622
#214364492
#214362422
#214362332
#214360622
#214360532
#214359162
#214359052
D8×C22⋊D592
#214355782
#214355762
#214348312
#214347942
#214347922
#214342432
#214342342
#214342322
#214341872
#214341852
#214331072
#214329072
#442×D592
C2×C59×#4422
#6145159