Finite Group Databasebeta

← #29470945

Subgroups — #29470945

Order 15104.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic, complemented
2#21437652C211yesmaximal, characteristic, complemented
3#21437095C211yesmaximal, characteristic, complemented
4#21436958C211yesmaximal, characteristic, complemented
5#21436759C211yesmaximal, characteristic, complemented
6#21436740C211yesmaximal, characteristic, complemented
7#21436715C211yesmaximal, characteristic, complemented
8#21436663C211yesmaximal, characteristic, complemented
9#21436659C211yesmaximal, characteristic, complemented
10#21436410C211yesmaximal, characteristic, complemented
11#21436331C211yesmaximal, characteristic, complemented
12#21436316C211yesmaximal, characteristic, complemented
13#21436309C211yesmaximal, characteristic, complemented
14#21436304C211yesmaximal, characteristic, complemented
15#21436300C211yesmaximal, characteristic, complemented
16#21435707C211yesmaximal, characteristic, complemented
17#21435702C211yesmaximal, characteristic, complemented
18#21435694C211yesmaximal, characteristic, complemented
19#21434823C211yesmaximal, characteristic, complemented
20#21434819C211yesmaximal, characteristic, complemented
21#21434811C211yesmaximal, characteristic, complemented
22#21434254C211yesmaximal, characteristic, complemented
23#21434232C211yesmaximal, characteristic, complemented
24#21434207C211yesmaximal, characteristic, complemented
25#21434203C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433113C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29C4×#14273753C211yesmaximal, characteristic, complemented
30#21432901C211yesmaximal, characteristic, complemented
31C59×#3114C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic
38#16838111C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838102C2211yescharacteristic
42#16838101—21no—
43#16838100C2211yescharacteristic
44#16838097—21no—
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838081—21no—
49#16838080—21no—
50#16838078—21no—
51#16838077—21no—
52#16838054C2211yescharacteristic
53#16838049C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838045C2211yescharacteristic, complemented
57#16838042—21no—
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16837956C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic
61#16837936C2211yescharacteristic, complemented
62#16837934—21no—
63#16837934C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837930—21no—
67#16837913—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C2×C4×C22⋊D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837806C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837785C2211yescharacteristic, complemented
82#16837784C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837756C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837745C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837741C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837696C2211yescharacteristic, complemented
107#16837691C2211yescharacteristic, complemented
108#16837690C2211yescharacteristic, complemented
109#16837690C2211yescharacteristic, complemented
110#16837661C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic
113#16837652C2211yescharacteristic
114#16837651C2211yescharacteristic, complemented
115#16837650C2211yescharacteristic, complemented
116#16837649C2211yescharacteristic, complemented
117#16837647C2211yescharacteristic, complemented
118#16837647C2211yescharacteristic, complemented
119#16837647C2211yescharacteristic, complemented
120#16837646C2211yescharacteristic, complemented
121#16837645C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic
128#16837611C2211yescharacteristic, complemented
129#16837605C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic
131#16837595C2211yescharacteristic
132#16837567C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic
135#16837561C2211yescharacteristic
136#16837554C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic
138#16837546C2211yescharacteristic
139#16837537C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic
141#16837534C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837526C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic
146#16837512C2211yescharacteristic, complemented
147#16837512C2211yescharacteristic, complemented
148#16837510C2211yescharacteristic, complemented
149#16837507C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837504C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158#16837489C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, complemented
161#16837487C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic
163#16837484C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837479C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837477C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837442C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#16837401C2211yescharacteristic, complemented
184#16837400C2211yescharacteristic
185C4×#11745664C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#483C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273754—24no—
214#14273753—24no—
215#14273751—24no—
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273721—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719C2311yescharacteristic
248#14273718—21no—
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273715C2311yescharacteristic
255#14273714—21no—
256#14273714C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273713—21no—
259#14273713—21no—
260#14273713—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273707—21no—
277#14273707C2311yescharacteristic
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706—21no—
282#14273706C2311yescharacteristic
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273703C2311yescharacteristic
291#14273702C2311yescharacteristic
292#14273701—21no—
293#14273701—21no—
294#14273701C2311yescharacteristic
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273699—21no—
300#14273699—21no—
301#14273699—21no—
302#14273698—21no—
303#14273698C2311yescharacteristic
304#14273698C2311yescharacteristic
305#14273698C2311yescharacteristic
306#14273697—21no—
307#14273697—21no—
308#14273696—21no—
309#14273696—21no—
310#14273695—21no—
311#14273695—21no—
312Q8×Dic59C2311yescharacteristic
313C4×Dic118—21no—
314C4×Dic118D411yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319#14273692C2311yescharacteristic
320C4×D236—21no—
321C4×D236D411yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325C4×D236C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689—21no—
330#14273689C2311yescharacteristic
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59D411yescharacteristic
347C4×C22⋊D59D411yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349C4×C22⋊D59C2311yescharacteristic
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353#14273686—21no—
354#14273686—21no—
355#14273686D411yescharacteristic
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684D411yescharacteristic
366#14273684D411yescharacteristic
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59C2311yescharacteristic
446#124×C59C2311yescharacteristic
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—22no—
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—41no—
489C2×D4×C59C2411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—82no—
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—44no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—41no—
521#11745687—22no—
522#11745687—41no—
523D4×D59—22no—
524D4×D59—22no—
525D4×D59—41no—
526D4×D59—41no—
527#11745685—22no—
528#11745685—42no—
529#11745685—41no—
530#11745685—82no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236C2×D411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—44no—
547C2×C4×D59—82no—
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118C2×D411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559SD16×C59—22no—
560SD16×C59—41no—
561D8×C59—22no—
562D8×C59—41no—
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C42×C59—21no—
586C42×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59C2×D411yescharacteristic
603C22⋊Dic59C2×D411yescharacteristic
604#11745672—41no—
605#11745671—22no—
606#11745670—22no—
607#11745670—22no—
608#11745670—22no—
609#11745669—22no—
610#11745669—41no—
611#11745669#4114yescomplemented
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59C2×D411yescharacteristic
639C4⋊Dic59C2×D411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—22no—
679#11745664—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—41no—
685D472—22no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—22no—
690#11745659—41no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—42no—
717D4×C59—81no—
718D4×C59C2×#4112yes—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—41no—
727C2×C4×C59—41no—
728C2×C4×C59—42no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—81no—
732C2×C4×C59—81no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C2511yescharacteristic
740C22⋊D59—22no—
741C22⋊D59—41no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—81no—
750C22⋊D59—81no—
751C22⋊D59—81no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—42no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—81no—
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768D236—21no—
769D236—21no—
770D236—21no—
771D236—41no—
772D236—42no—
773D236—81no—
774D236C2×#4112yes—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—22no—
780C4×D59—41no—
781C4×D59—41no—
782C4×D59—41no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—22no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61464—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—22no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—84no—
822C22×C59C23×D411yescharacteristic
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—21no—
826C2×D59—21no—
827C2×D59—22no—
828C2×D59—21no—
829C2×D59—21no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—84no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59C22×#4111yescharacteristic
848C4×C59#58511yescharacteristic
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59#57512yes—
861#3481—591no—
862#3475—591no—
863#3394—591no—
864#3380—591no—
865#3361—591no—
866#3360—591no—
867#3357—591no—
868#3351—591no—
869#3351—591no—
870#3331—591no—
871#3325—591no—
872#3323—591no—
873#3323—591no—
874#3322—591no—
875#3322—591no—
876#3273—591no—
877#3273—591no—
878#3272—591no—
879#3183—591no—
880#3183—591no—
881#3182—591no—
882#3116—591no—
883#3114—591no—
884#3114D5911yescharacteristic, complemented
885#3111—591no—
886#3111—591no—
887#3109—591no—
888#2971—591no—
889C4×AGL(1,ℤ/8)—591no—
890C4×AGL(1,ℤ/8)—591no—
891C4×AGL(1,ℤ/8)—591no—
892C2×C59—42no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59D4×#4111yescharacteristic
897C2×C59C2×#57511yescharacteristic
898C2×C59#358511yescharacteristic
899D59—41no—
900D59—41no—
901D59—42no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×AGL(1,ℤ/8)—591no—
905C2×AGL(1,ℤ/8)—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—1181no—
936#529—1181no—
937#529—1181no—
938#529C2×D5911yescharacteristic, complemented
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—1181no—
949C2×C4×D4C2×D5911yescharacteristic, complemented
950C2×#117—1181no—
951#500—591no—
952#499—591no—
953#499—591no—
954#495—591no—
955#495—591no—
956#492—591no—
957#488—591no—
958#488—591no—
959#488—591no—
960#488—591no—
961#487—591no—
962#486—591no—
963#485—591no—
964#485—591no—
965#485—591no—
966#485—591no—
967#483—591no—
968#483C2×D5911yescharacteristic, complemented
969#482—591no—
970#482—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#480C2×D5911yescharacteristic, complemented
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478C2×D5911yescharacteristic, complemented
982#478C2×D5911yescharacteristic, complemented
983#477—591no—
984#476—591no—
985#476—591no—
986#476—591no—
987#470—591no—
988#470—591no—
989#469—591no—
990#469—591no—
991#468—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#468—591no—
997#468—591no—
998#468—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463C2×D5911yescharacteristic
1006#463C2×D5911yescharacteristic, complemented
1007#462—591no—
1008#461—591no—
1009#459—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#452—591no—
1014#452—591no—
1015#450—591no—
1016#450C2×D5911yescharacteristic, complemented
1017#449—591no—
1018#449—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#447C2×D5911yescharacteristic
1023C8×Q8—591no—
1024C8×Q8—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442C2×D5911yescharacteristic
1030#442C2×D5911yescharacteristic, complemented
1031#441—591no—
1032#441—591no—
1033#440—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440C2×D5911yescharacteristic, complemented
1040#440C2×D5911yescharacteristic, complemented
1041C4×SD16—591no—
1042C4×SD16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046C4×SD16—591no—
1047C4×D8—591no—
1048C4×D8—591no—
1049C4×D8—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#436—591no—
1054#436—591no—
1055#436—591no—
1056#436—591no—
1057#436—591no—
1058#436—591no—
1059#432—591no—
1060#432—591no—
1061#432C2×D5911yescharacteristic, complemented
1062#428—591no—
1063#428—591no—
1064#428—591no—
1065#418—591no—
1066#418—591no—
1067#418—591no—
1068#417—591no—
1069#417—591no—
1070#417—591no—
1071C4×M16—591no—
1072C4×M16—591no—
1073C4×M16—591no—
1074C59#6146411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—1181no—
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—21no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088AGL(1,ℤ/8)—1184no—
1089AGL(1,ℤ/8)—1184no—
1090C2×Q16—591no—
1091C2×Q16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16C22×D5911yescharacteristic
1099C2×SD16C22×D5911yescharacteristic
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8C22×D5911yescharacteristic
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C2×M16—591no—
1109C2×M16—591no—
1110C2×M16—591no—
1111C2×M16—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—21no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—591no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121C22×D5911yescharacteristic
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4C22×D5911yescharacteristic
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—591no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8C22×D5911yescharacteristic
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97C22×D5911yescharacteristic
1346#97C22×D5911yescharacteristic
1347C4×C8—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—21no—
1354C24—1181no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2362no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2364no—
1396C2×D4C23×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—82no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—4722no—
1427C22×C4—2364no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—2361no—
1432Q16—2361no—
1433SD16—22no—
1434SD16—41no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441D8—22no—
1442D8—41no—
1443D8—594no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—1182no—
1448M16—1182no—
1449M16—1182no—
1450M16—2361no—
1451M16—2361no—
1452M16—2361no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—591no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C42—21no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42D4×D5911yescharacteristic
1561C42D4×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—591no—
1571C23—591no—
1572C23—1181no—
1573C23—1181no—
1574C23—4721no—
1575C23—4721no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23—2362no—
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—1182no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—4721no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—81no—
1597D4—592no—
1598D4—1182no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—2361no—
1607D4—2362no—
1608D4—2362no—
1609D4—2361no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4#41×D5912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—591no—
1638C2×C4—1182no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2361no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—592no—
1677C8—1181no—
1678C8—1181no—
1679C8—1181no—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—84no—
1693C22—1181no—
1694C22—1181no—
1695C22—1181no—
1696C22—1181no—
1697C22—1182no—
1698C22—1181no—
1699C22—1181no—
1700C22—4724no—
1701C22—4724no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—592no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—4721no—
1737C2—2361no—
1738C2—2361no—
1739C2—2362no—
1740C2#2143757911yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3114C2
socleC22×C59C23×D4
hypercenter#3114D59
hypocenterC59#61464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #21437700C2semidirect
2. #21437652C2semidirect
3. #21437095C2semidirect
4. #21436958C2semidirect
5. #21436759C2semidirect
6. #21436740C2semidirect
7. #21436715C2semidirect
8. #21436663C2semidirect
9. #21436659C2semidirect
10. #21436410C2semidirect
11. #21436331C2semidirect
12. #21436316C2semidirect
13. #21436309C2semidirect
14. #21436304C2semidirect
15. #21436300C2semidirect
16. #21435707C2semidirect
17. #21435702C2semidirect
18. #21435694C2semidirect
19. #21434823C2semidirect
20. #21434819C2semidirect
21. #21434811C2semidirect
22. #21434254C2semidirect
23. #21434232C2semidirect
24. #21434207C2semidirect
25. #21434203C2semidirect
26. #21434185C2semidirect
27. #21433113C2semidirect
28. #21432907C2semidirect
29. C4×#14273753C2semidirect
30. #21432901C2semidirect
31. C59×#3114C2semidirect
35. #16838135C22semidirect
36. #16838121C22semidirect
38. #16838111C22semidirect
39. #16838108C22semidirect
40. #16838107C22semidirect
45. #16838090C22semidirect
47. #16838086C22semidirect
53. #16838049C22semidirect
56. #16838045C22semidirect
58. D4×C22⋊D59C22semidirect
59. #16837956C22semidirect
61. #16837936C22semidirect
63. #16837934C22semidirect
64. #16837934C22semidirect
70. C4×#11745689C22semidirect
72. C4×#11745685C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837806C22semidirect
79. #16837802C22semidirect
80. #16837801C22semidirect
81. #16837785C22semidirect
82. #16837784C22semidirect
83. #16837773C22semidirect
84. #16837759C22semidirect
85. #16837756C22semidirect
86. #16837755C22semidirect
87. #16837755C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837745C22semidirect
91. #16837745C22semidirect
92. #16837744C22semidirect
93. #16837741C22semidirect
94. #16837734C22semidirect
95. #16837727C22semidirect
96. #16837724C22semidirect
97. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837714C22semidirect
100. #16837711C22semidirect
101. #16837710C22semidirect
102. #16837705C22semidirect
103. #16837703C22semidirect
104. #16837701C22semidirect
105. #16837700C22semidirect
106. #16837696C22semidirect
107. #16837691C22semidirect
108. #16837690C22semidirect
109. #16837690C22semidirect
110. #16837661C22semidirect
111. #16837658C22semidirect
114. #16837651C22semidirect
115. #16837650C22semidirect
116. #16837649C22semidirect
117. #16837647C22semidirect
118. #16837647C22semidirect
119. #16837647C22semidirect
120. #16837646C22semidirect
121. #16837645C22semidirect
122. #16837625C22semidirect
123. #16837622C22semidirect
124. #16837618C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
128. #16837611C22semidirect
129. #16837605C22semidirect
132. #16837567C22semidirect
133. #16837566C22semidirect
136. #16837554C22semidirect
139. #16837537C22semidirect
141. #16837534C22semidirect
142. #16837526C22semidirect
143. #16837526C22semidirect
144. #16837515C22semidirect
146. #16837512C22semidirect
147. #16837512C22semidirect
148. #16837510C22semidirect
149. #16837507C22semidirect
150. #16837504C22semidirect
151. #16837504C22semidirect
152. #16837502C22semidirect
153. #16837502C22semidirect
154. #16837502C22semidirect
155. #16837500C22semidirect
156. #16837493C22semidirect
157. SD16×Dic59C22semidirect
158. #16837489C22semidirect
159. C4×#11745670C22semidirect
160. C4×#11745670C22semidirect
161. #16837487C22semidirect
163. #16837484C22semidirect
165. C4×#11745669C22semidirect
168. #16837479C22semidirect
169. #16837479C22semidirect
170. #16837477C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837477C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. #16837442C22semidirect
178. #16837441C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837405C22semidirect
182. #16837402C22semidirect
183. #16837401C22semidirect
185. C4×#11745664C22semidirect
186. #16837354C22semidirect
187. #16837354C22semidirect
188. C59×#529C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#483C22semidirect
191. C59×#480C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
611. #11745669#41semidirect
884. #3114D59semidirect
938. #529C2×D59semidirect
949. C2×C4×D4C2×D59semidirect
968. #483C2×D59semidirect
974. #480C2×D59semidirect
981. #478C2×D59semidirect
982. #478C2×D59semidirect
1006. #463C2×D59semidirect
1016. #450C2×D59semidirect
1030. #442C2×D59semidirect
1039. #440C2×D59semidirect
1040. #440C2×D59semidirect
1061. #432C2×D59semidirect
1074. C59#61464semidirect

Maximal subgroups

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

subgroupindex
#214377002
#214376522
#214370952
#214369582
#214367592
#214367402
#214367152
#214366632
#214366592
#214364102
#214363312
#214363162
#214363092
#214363042
#214363002
#214357072
#214357022
#214356942
#214348232
#214348192
#214348112
#214342542
#214342322
#214342072
#214342032
#214341852
#214331132
#214329072
C4×#142737532
#214329012
C59×#31142
#6146459