Finite Group Databasebeta

← #29466296

Subgroups — #29466296

Order 15104.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437837C211yesmaximal, characteristic, complemented
2#21437726C211yesmaximal, characteristic
3#21436329C211yesmaximal, characteristic, complemented
4#21436325C211yesmaximal, characteristic, complemented
5#21436311C211yesmaximal, characteristic, complemented
6#21436305C211yesmaximal, characteristic, complemented
7#21436183C211yesmaximal, characteristic, complemented
8#21436177C211yesmaximal, characteristic, complemented
9#21436139C211yesmaximal, characteristic, complemented
10#21436128C211yesmaximal, characteristic, complemented
11#21436123C211yesmaximal, characteristic, complemented
12#21436114C211yesmaximal, characteristic, complemented
13#21436113C211yesmaximal, characteristic, complemented
14#21436111C211yesmaximal, characteristic, complemented
15#21435929C211yesmaximal, characteristic, complemented
16#21435921C211yesmaximal, characteristic, complemented
17#21435913C211yesmaximal, characteristic, complemented
18#21434449C211yesmaximal, characteristic, complemented
19#21434049C211yesmaximal, characteristic, complemented
20#21434010C211yesmaximal, characteristic, complemented
21#21433926C211yesmaximal, characteristic, complemented
22#21433730C211yesmaximal, characteristic, complemented
23#21433723C211yesmaximal, characteristic, complemented
24#21433615C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#450×D59C211yesmaximal, characteristic, complemented
27#21432950C211yesmaximal, characteristic, complemented
28#21432816C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30C2×#16837405C211yesmaximal, characteristic, complemented
31C59×#3296C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C22×#11745659C2211yescharacteristic, complemented
39#16838125C2211yescharacteristic, complemented
40#16838120C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838109C2211yescharacteristic, complemented
43#16838094C2211yescharacteristic, complemented
44#16838090—21no—
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838087C2211yescharacteristic, complemented
48#16838076—21no—
49#16838075—21no—
50#16838045C2211yescharacteristic
51#16838044—21no—
52#16838043C2211yescharacteristic
53#16838042—21no—
54#16838040C2211yescharacteristic
55D4×D236C2211yescharacteristic
56D4×D236C2211yescharacteristic
57#16838036—21no—
58#16838036C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838032C2211yescharacteristic, complemented
62#16838018—21no—
63#16838011—21no—
64#16837975C2211yescharacteristic, complemented
65#16837970C2211yescharacteristic
66#16837968C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837955—21no—
70#16837929—21no—
71#16837915C2211yescharacteristic
72#16837911C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74C2×#14273697—21no—
75#120×D59—21no—
76#16837882C2211yescharacteristic, complemented
77#16837878C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×#14273685C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837749C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837741C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837735C2211yescharacteristic, complemented
90#16837728C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837657C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837646C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837555C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837502C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×#11745660C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic, complemented
149#16837489C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837473C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837437C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837406C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837405C2211yescharacteristic, complemented
172#16837403C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178C2×#14273649C2211yescharacteristic, complemented
179C2×#14273649C2211yescharacteristic, complemented
180C2×#14273648C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204#14273773—24no—
205#14273773—42no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×Q8×D59C2311yescharacteristic
211C22×D236—21no—
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—24no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—42no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232C2×#11745672C2311yescharacteristic, complemented
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic, complemented
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic, complemented
241SD16×D59—24no—
242SD16×D59—42no—
243#14273733—42no—
244C2×#11745664C2311yescharacteristic, complemented
245C2×#11745659—42no—
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic, complemented
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic, complemented
255#14273727C2311yescharacteristic, complemented
256#14273726—21no—
257#14273726—21no—
258#14273726C2311yescharacteristic, complemented
259#14273724C2311yescharacteristic
260#14273723—21no—
261#14273723C2311yescharacteristic
262#14273722—21no—
263#14273722—21no—
264#14273722—21no—
265#14273722—21no—
266#14273722—21no—
267#14273721—21no—
268#14273720—21no—
269#14273718—21no—
270#14273718—21no—
271#14273718—21no—
272#14273718C2311yescharacteristic, complemented
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273716C2311yescharacteristic
277#14273715—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273710—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709D411yescharacteristic
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic, complemented
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic, complemented
298#14273705—21no—
299#14273705—21no—
300#14273705D411yescharacteristic
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic, complemented
309#14273702—21no—
310#14273702—21no—
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700D411yescharacteristic
321#14273699—21no—
322#14273699—21no—
323#14273699D411yescharacteristic
324#14273698C2311yescharacteristic
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697D411yescharacteristic
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695D411yescharacteristic
343Q8×Dic59C2311yescharacteristic, complemented
344C4×Dic118—21no—
345C4×Dic118—21no—
346C4×Dic118—21no—
347C4×Dic118—21no—
348C4×Dic118C2311yescharacteristic, complemented
349#14273692—21no—
350#14273692C2311yescharacteristic, complemented
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356#14273689—21no—
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
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(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273685—21no—
368#14273685—21no—
369#14273685—21no—
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic, complemented
377#14273684—21no—
378#14273684C2311yescharacteristic
379#14273683—21no—
380C2×C4⋊Dic59C2311yescharacteristic
381C2×C4⋊Dic59C2311yescharacteristic, complemented
382C4⋊C4×D59—21no—
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic, complemented
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273660C2311yescharacteristic, complemented
394#14273660C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273660C2311yescharacteristic, complemented
398#14273659C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273659C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402C4⋊(C59⋊C8)C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273651C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273651C2311yescharacteristic, complemented
409#14273651C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic, complemented
418#14273649C2311yescharacteristic, complemented
419#14273649C2311yescharacteristic, complemented
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic, complemented
433#14273647C2311yescharacteristic, complemented
434#14273647C2311yescharacteristic, complemented
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441#14273638C2311yescharacteristic, complemented
442#14273637C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic, complemented
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic, complemented
451#126×C59—21no—
452#125×C59—21no—
453#125×C59C2311yescharacteristic, complemented
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic, complemented
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×Q8×C59C2311yescharacteristic, complemented
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic, complemented
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic, complemented
471#106×C59C2311yescharacteristic, complemented
472#106×C59C2311yescharacteristic, complemented
473C4⋊C8×C59C2311yescharacteristic, complemented
474#103×C59C2311yescharacteristic, complemented
475#103×C59C2311yescharacteristic, complemented
476#103×C59C2311yescharacteristic, complemented
477#103×C59C2311yescharacteristic, complemented
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic, complemented
486C4×C8×C59C2311yescharacteristic, complemented
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—44no—
496C23×D59—82no—
497C23×D59—82no—
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—22no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
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—44no—
527C2×C22⋊D59—82no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59C2×D411yescharacteristic
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—41no—
540Q8×D59—22no—
541Q8×D59—22no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—44no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—44no—
555D4×D59—82no—
556D4×D59—82no—
557D4×D59#4114yes—
558#11745685—22no—
559#11745685—22no—
560#11745685—44no—
561C2×D236—22no—
562C2×D236—22no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—41no—
572C2×D236—41no—
573C2×D236—44no—
574C2×D236—82no—
575C2×D236C2×D411yescharacteristic
576C2×D236C2×D411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×C4×D59—22no—
581C2×C4×D59—22no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118C2×D411yescharacteristic
598C2×Dic118C2411yescharacteristic
599Q16×C59—41no—
600SD16×C59—22no—
601SD16×C59—41no—
602C2×C8×C59—41no—
603C2×C8×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59C2×D411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C42×C59—21no—
631C42×C59—21no—
632C42×C59C2411yescharacteristic
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59C2×D411yescharacteristic
638C22⋊Dic59C2×D411yescharacteristic
639#11745672—41no—
640#11745671—22no—
641#11745671—41no—
642#11745671—41no—
643#11745670—22no—
644#11745670—41no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59C2×D411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713#11745660—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—42no—
727C23×C59—42no—
728C23×C59—81no—
729C23×C59C22×D411yescharacteristic
730C23×C59C22×D411yescharacteristic
731C22×D59—22no—
732C22×D59—21no—
733C22×D59—22no—
734C22×D59—24no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—41no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—816no—
759C22×D59C22×D411yescharacteristic
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766D4×C59—22no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—42no—
771D4×C59—42no—
772D4×C59—81no—
773D4×C59C2×#4112yes—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C2511yescharacteristic
792C22⋊D59—22no—
793C22⋊D59—22no—
794C22⋊D59—22no—
795C22⋊D59—24no—
796C22⋊D59—41no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C2×Dic59—22no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—81no—
813C2×Dic59—81no—
814C2×Dic59—81no—
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820D236—22no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—21no—
826D236—41no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236—42no—
831D236—42no—
832D236—81no—
833D236—81no—
834D236—81no—
835D236C2×#4112yes—
836C4×D59—22no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—22no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59C2×#4112yes—
850C4×D59H(5,𝔽2)12yes—
851Dic118—22no—
852Dic118—21no—
853Dic118—21no—
854Dic118—42no—
855Dic118—81no—
856Dic118—81no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C8×C59—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865#61184—591nomaximal, Sylow
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—22no—
871C22×C59—21no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—84no—
878C22×C59#57712yes—
879C22×C59C23×D411yescharacteristic
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—22no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—44no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—84no—
899C2×D59—84no—
900C2×D59—84no—
901C2×D59—84no—
902C2×D59—84no—
903C2×D59—162no—
904C2×D59—162no—
905C2×D59#54612yes—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59C22×#4111yescharacteristic
917C4×C59C2×H(5,𝔽2)11yescharacteristic
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—21no—
922Dic59—41no—
923Dic59—41no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59#54612yes—
928#3495—591no—
929#3484—591no—
930#3324—591no—
931#3324—591no—
932#3323—591no—
933#3323—591no—
934#3314—591no—
935#3314—591no—
936#3311—591no—
937#3311—591no—
938#3310—591no—
939#3310—591no—
940#3310—591no—
941#3310—591no—
942#3296—591no—
943#3296D5911yescharacteristic, complemented
944#3295—591no—
945#3295—591no—
946#3136—591no—
947#3096—591no—
948#3091—591no—
949#3081—591no—
950#3057—591no—
951#3056—591no—
952#3043—591no—
953#3009—591no—
954C2×#450—591no—
955#2949—591no—
956#2933—591no—
957#2897—591no—
958C2×#418—591no—
959C2×C59—22no—
960C2×C59—42no—
961C2×C59—41no—
962C2×C59—81no—
963C2×C59C2×#54611yescharacteristic
964C2×C59C2×#57711yescharacteristic
965C2×C59#358511yescharacteristic
966D59—22no—
967D59—41no—
968D59—41no—
969D59—42no—
970D59—81no—
971D59—81no—
972C2×H(5,𝔽2)—591no—
973C23×D4—591no—
974C2×#137—591no—
975C22×SD16—591no—
976C22×SD16—591no—
977C2×#131—591no—
978C22×M16—591no—
979#556—591no—
980#556—591no—
981#554—591no—
982#554—591no—
983#552—591no—
984#552—591no—
985#552—591no—
986#552—1181no—
987#552—1181no—
988#552C2×D5911yescharacteristic, complemented
989#551—1181no—
990#551—1181no—
991#546—591no—
992#546—591no—
993#546—591no—
994#546—1181no—
995#546—1181no—
996#546C2×D5911yescharacteristic
997D42—591no—
998D42—591no—
999D42—591no—
1000D42—591no—
1001D42—1181no—
1002D42—1181no—
1003#544—591no—
1004#542—1181no—
1005#541—1181no—
1006#536—591no—
1007#535—591no—
1008#535—591no—
1009#534—1181no—
1010#534—1181no—
1011#533—1181no—
1012#529—1181no—
1013#525—591no—
1014#525—591no—
1015C2×C22⋊Q8—591no—
1016C2×#120—1181no—
1017C2×#120—1181no—
1018#520—591no—
1019#519—591no—
1020#518—591no—
1021C2×#117—591no—
1022#490—591no—
1023#490—591no—
1024#489—591no—
1025#489—591no—
1026#488—591no—
1027#488C2×D5911yescharacteristic, complemented
1028#486—591no—
1029#486—591no—
1030#485—591no—
1031#485—591no—
1032#484—591no—
1033#483C2×D5911yescharacteristic, complemented
1034#482—591no—
1035#482—591no—
1036#482—591no—
1037#482—591no—
1038#482—591no—
1039#482C2×D5911yescharacteristic, complemented
1040#481—591no—
1041#481—591no—
1042#481—591no—
1043#480—591no—
1044#480—591no—
1045#480—591no—
1046#478—591no—
1047#478—591no—
1048#478—591no—
1049#478C2×D5911yescharacteristic, complemented
1050#476—591no—
1051#476—591no—
1052#474—591no—
1053#474—591no—
1054#470—591no—
1055#470—591no—
1056#468—591no—
1057#468—591no—
1058#468—591no—
1059#468—591no—
1060#468—591no—
1061#468—591no—
1062#467—591no—
1063#467C2×D5911yescharacteristic, complemented
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465—591no—
1068#465—591no—
1069#465C2×D5911yescharacteristic, complemented
1070#464—591no—
1071#464—591no—
1072#464—591no—
1073#464C2×D5911yescharacteristic, complemented
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#460—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452C2×D5911yescharacteristic, complemented
1082#450—591no—
1083#450—591no—
1084#450—591no—
1085#450—591no—
1086#450—591no—
1087#450—591no—
1088#450—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450C2×D5911yescharacteristic, complemented
1094#440—591no—
1095#440—591no—
1096#440—591no—
1097#440—591no—
1098C4×SD16—591no—
1099C4×SD16—591no—
1100C4×SD16—591no—
1101C4×SD16C2×D5911yescharacteristic, complemented
1102#436—591no—
1103#436—591no—
1104#435—591no—
1105#435—591no—
1106#435—591no—
1107#435—591no—
1108C8×D4—591no—
1109C8×D4C2×D5911yescharacteristic, complemented
1110#428—591no—
1111#427—591no—
1112#427—591no—
1113#424—591no—
1114#419—591no—
1115#418—591no—
1116#418—591no—
1117#418—591no—
1118#418—591no—
1119#418—591no—
1120#418—591no—
1121#418—591no—
1122#418—591no—
1123#418—591no—
1124#418—591no—
1125#417—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131#416C2×D5911yescharacteristic, complemented
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135C2×#102—591no—
1136C2×#102—591no—
1137C2×#102—591no—
1138C2×#102—591no—
1139C2×#102C2×D5911yescharacteristic, complemented
1140#408—591no—
1141C2×C22⋊C8—591no—
1142#405—591no—
1143C59#6118411yescharacteristic, complemented, Sylow
1144C25—1181no—
1145H(5,𝔽2)—1184no—
1146H(5,𝔽2)—2362no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—1181no—
1151C2×#41C22×D5911yescharacteristic
1152C22×Q8—591no—
1153C22×D4—591no—
1154C22×D4—591no—
1155C22×D4—591no—
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—1181no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1184no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—2362no—
1172C22×D4C22×D5911yescharacteristic
1173C23×C4—591no—
1174#137—2362no—
1175C2×Q16—591no—
1176C2×Q16C22×D5911yescharacteristic, complemented
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—1184no—
1186C2×SD16—2362no—
1187C2×SD16C22×D5911yescharacteristic
1188C2×SD16C22×D5911yescharacteristic
1189#131—2362no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—591no—
1193C2×M16—591no—
1194C2×M16—591no—
1195C2×M16—591no—
1196C2×M16—2362no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C22×C8—591no—
1201C22×C8C22×D5911yescharacteristic
1202C22×C8C22×D5911yescharacteristic, complemented
1203C4⋊Q8—591no—
1204C4⋊Q8—591no—
1205C4⋊Q8—1181no—
1206C4⋊Q8—1181no—
1207#127—591no—
1208#127—591no—
1209#127—1181no—
1210#126—21no—
1211#126—1181no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#126—1181no—
1216#126—1181no—
1217#126—1181no—
1218#125—21no—
1219#125—591no—
1220#125—1181no—
1221#125—1181no—
1222#125—1181no—
1223#125—1181no—
1224#125—1181no—
1225#125—1181no—
1226#125C22×D5911yescharacteristic, complemented
1227#124—591no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124C22×D5911yescharacteristic
1233#123—21no—
1234#123—21no—
1235#123—591no—
1236#123—591no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246C22⋊Q8—591no—
1247C22⋊Q8—591no—
1248C22⋊Q8—591no—
1249C22⋊Q8—591no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—1181no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8C22×D5911yescharacteristic
1264C22⋊Q8C22×D5911yescharacteristic
1265C22⋊Q8C22×D5911yescharacteristic, complemented
1266#121—21no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—591no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121C22×D5911yescharacteristic
1284#120—21no—
1285#120—591no—
1286#120—591no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303C4×Q8—591no—
1304C4×Q8—591no—
1305C4×Q8—591no—
1306C4×Q8—1181no—
1307C4×Q8—1181no—
1308C4×Q8—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8C22×D5911yescharacteristic, complemented
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4C22×D5911yescharacteristic
1328C4×D4C22×D5911yescharacteristic
1329#117—21no—
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—591no—
1334#117—591no—
1335#117—591no—
1336#117—591no—
1337#117—1181no—
1338#117—1181no—
1339#117—1181no—
1340#117—1181no—
1341#117—1181no—
1342#117—1181no—
1343#117—1181no—
1344#117C22×D5911yescharacteristic, complemented
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—591no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4C22×D5911yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355C2×C22⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C42—1181no—
1360#107—591no—
1361#107—591no—
1362#107—591no—
1363#107—591no—
1364#107—591no—
1365#107C22×D5911yescharacteristic, complemented
1366#106—591no—
1367#106—591no—
1368#106—591no—
1369#106—591no—
1370#106C22×D5911yescharacteristic, complemented
1371#106C22×D5911yescharacteristic, complemented
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375C4⋊C8C22×D5911yescharacteristic, complemented
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103C22×D5911yescharacteristic, complemented
1383#103C22×D5911yescharacteristic, complemented
1384#103C22×D5911yescharacteristic, complemented
1385#103C22×D5911yescharacteristic, complemented
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102C22×D5911yescharacteristic
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8C22×D5911yescharacteristic
1423C22⋊C8C22×D5911yescharacteristic, complemented
1424#97—591no—
1425#97—591no—
1426C4×C8—591no—
1427C4×C8C22×D5911yescharacteristic, complemented
1428C24—21no—
1429C24—591no—
1430C24—1181no—
1431C24—1181no—
1432C24—1181no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—4722no—
1438C24—4722no—
1439C24—2364no—
1440#41—22no—
1441#41—41no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—1182no—
1447#41—2364no—
1448#41—2361no—
1449C2×Q8—591no—
1450C2×Q8—591no—
1451C2×Q8—1181no—
1452C2×Q8—1181no—
1453C2×Q8—1182no—
1454C2×Q8—1182no—
1455C2×Q8—1181no—
1456C2×Q8C23×D5911yescharacteristic
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—22no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—41no—
1463C2×D4—594no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—1182no—
1474C2×D4—1182no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1182no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1182no—
1490C2×D4—1182no—
1491C2×D4—1182no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—4722no—
1500C2×D4—4722no—
1501C2×D4—4722no—
1502C2×D4—4722no—
1503C2×D4—2361no—
1504C2×D4—2361no—
1505C2×D4—2364no—
1506C2×D4—2361no—
1507C2×D4—2361no—
1508C2×D4—2361no—
1509C2×D4—2364no—
1510C2×D4—2364no—
1511C2×D4—2364no—
1512C2×D4—2364no—
1513C2×D4—2364no—
1514C2×D4D4×D5911yescharacteristic
1515C2×D4C23×D5911yescharacteristic
1516C2×D4C23×D5911yescharacteristic
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—591no—
1521C22×C4—591no—
1522C22×C4—591no—
1523C22×C4—591no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—1182no—
1527C22×C4—1182no—
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×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540Q16—41no—
1541Q16—2361no—
1542SD16—22no—
1543SD16—41no—
1544SD16—1182no—
1545SD16—1182no—
1546SD16—1182no—
1547SD16—2361no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551SD16—2361no—
1552M16—1182no—
1553M16—1182no—
1554M16—2361no—
1555M16—2361no—
1556M16—2361no—
1557M16—2361no—
1558C2×C8—41no—
1559C2×C8—41no—
1560C2×C8—591no—
1561C2×C8—591no—
1562C2×C8—591no—
1563C2×C8—591no—
1564C2×C8—1182no—
1565C2×C8—1182no—
1566C2×C8—2361no—
1567C2×C8—2361no—
1568C2×C8C23×D5911yescharacteristic
1569C2×C8C23×D5911yescharacteristic
1570C2×C8C23×D5911yescharacteristic
1571C2×C8C23×D5911yescharacteristic
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4D4×D5911yescharacteristic
1607C4⋊C4C23×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4D4×D5911yescharacteristic
1651C22⋊C4D4×D5911yescharacteristic
1652C42—21no—
1653C42—21no—
1654C42—591no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42—1181no—
1660C42—1181no—
1661C42—1181no—
1662C42—1181no—
1663C42—1181no—
1664C42C23×D5911yescharacteristic
1665C23—21no—
1666C23—21no—
1667C23—42no—
1668C23—42no—
1669C23—81no—
1670C23—591no—
1671C23—591no—
1672C23—591no—
1673C23—1184no—
1674C23—1182no—
1675C23—1182no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—4721no—
1680C23—4721no—
1681C23—4721no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—47216no—
1691C23—2361no—
1692C23—2362no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23—2362no—
1697C23—2362no—
1698C23—2362no—
1699C23—2362no—
1700C23—2362no—
1701C23C2×D4×D5911yescharacteristic
1702C23C2×D4×D5911yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—1182no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—4721no—
1711Q8—4721no—
1712Q8—2362no—
1713D4—22no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—42no—
1718D4—42no—
1719D4—81no—
1720D4—592no—
1721D4—1182no—
1722D4—1184no—
1723D4—1182no—
1724D4—1182no—
1725D4—1182no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—2361no—
1739D4—2362no—
1740D4—2362no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2361no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4#41×D5912yes—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—81no—
1764C2×C4—591no—
1765C2×C4—592no—
1766C2×C4—592no—
1767C2×C4—591no—
1768C2×C4—591no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—1182no—
1772C2×C4—1182no—
1773C2×C4—1182no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—2362no—
1791C2×C4—2362no—
1792C2×C4—2362no—
1793C2×C4C2×D4×D5911yescharacteristic
1794C2×C4C2×D4×D5911yescharacteristic
1795C2×C4C2×D4×D5911yescharacteristic
1796C2×C4C2×D4×D5911yescharacteristic
1797C2×C4C24×D5911yescharacteristic
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—21no—
1802C8—1181no—
1803C8—1181no—
1804C8—1181no—
1805C8—1181no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—22no—
1810C22—21no—
1811C22—21no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—84no—
1818C22—592no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—1181no—
1823C22—1182no—
1824C22—1181no—
1825C22—1181no—
1826C22—1181no—
1827C22—1181no—
1828C22—9442no—
1829C22—9442no—
1830C22—4724no—
1831C22—4724no—
1832C22—4724no—
1833C22—4724no—
1834C22—4724no—
1835C22—2364no—
1836C22—2361no—
1837C22—2361no—
1838C22—2361no—
1839C22—2361no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22#1683820912yes—
1845C22C22×D4×D5911yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—592no—
1857C4—1181no—
1858C4—1181no—
1859C4—1181no—
1860C4—1181no—
1861C4—2361no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4C2×#41×D5911yescharacteristic
1867C4H(5,𝔽2)×D5911yescharacteristic
1868C2—22no—
1869C2—41no—
1870C2—42no—
1871C2—81no—
1872C2—1182no—
1873C2—4721no—
1874C2—4721no—
1875C2—2361no—
1876C2—2361no—
1877C2—2362no—
1878C2#546×D5911yescharacteristic
1879C2C2×#1683820911yescharacteristic
1880C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3296C2
socleC22×C59C23×D4
prime radical#21437726C2
hypercenter#3296D59
hypocenterC59#61184
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #21437837C2semidirect
3. #21436329C2semidirect
4. #21436325C2semidirect
5. #21436311C2semidirect
6. #21436305C2semidirect
7. #21436183C2semidirect
8. #21436177C2semidirect
9. #21436139C2semidirect
10. #21436128C2semidirect
11. #21436123C2semidirect
12. #21436114C2semidirect
13. #21436113C2semidirect
14. #21436111C2semidirect
15. #21435929C2semidirect
16. #21435921C2semidirect
17. #21435913C2semidirect
18. #21434449C2semidirect
19. #21434049C2semidirect
20. #21434010C2semidirect
21. #21433926C2semidirect
22. #21433730C2semidirect
23. #21433723C2semidirect
24. #21433615C2semidirect
25. #21433370C2semidirect
26. #450×D59C2semidirect
27. #21432950C2semidirect
28. #21432816C2semidirect
29. #21432618C2semidirect
30. C2×#16837405C2semidirect
31. C59×#3296C2semidirect
34. C2×#14273759C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
38. C22×#11745659C22semidirect
39. #16838125C22semidirect
40. #16838120C22semidirect
41. #16838110C22semidirect
42. #16838109C22semidirect
43. #16838094C22semidirect
45. #16838090C22semidirect
47. #16838087C22semidirect
61. #16838032C22semidirect
64. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
76. #16837882C22semidirect
77. #16837878C22semidirect
79. C2×#14273685C22semidirect
80. #16837768C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837761C22semidirect
84. #16837758C22semidirect
85. #16837749C22semidirect
86. #16837747C22semidirect
87. #16837741C22semidirect
88. #16837741C22semidirect
89. #16837735C22semidirect
90. #16837728C22semidirect
91. #16837728C22semidirect
92. #16837728C22semidirect
93. #16837726C22semidirect
94. #16837725C22semidirect
95. #16837721C22semidirect
96. #16837721C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837715C22semidirect
100. #16837713C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837690C22semidirect
106. #16837682C22semidirect
107. #16837681C22semidirect
108. #16837659C22semidirect
109. #16837657C22semidirect
110. #16837651C22semidirect
111. #16837651C22semidirect
112. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837647C22semidirect
115. #16837646C22semidirect
116. #16837641C22semidirect
117. #16837633C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837631C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837621C22semidirect
125. #16837603C22semidirect
126. #16837602C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
131. #16837563C22semidirect
132. #16837555C22semidirect
133. #16837555C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837554C22semidirect
137. #16837553C22semidirect
138. #16837552C22semidirect
139. #16837552C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837505C22semidirect
144. #16837502C22semidirect
145. #16837500C22semidirect
146. #16837499C22semidirect
147. C4×#11745660C22semidirect
148. SD16×Dic59C22semidirect
149. #16837489C22semidirect
150. #16837481C22semidirect
151. #16837477C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837473C22semidirect
155. #16837472C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837437C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837405C22semidirect
171. #16837405C22semidirect
172. #16837403C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837397C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. C2×#14273649C22semidirect
179. C2×#14273649C22semidirect
180. C2×#14273648C22semidirect
181. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#552C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#478C22semidirect
194. C59×#467C22semidirect
195. C59×#465C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#102×C59C22semidirect
232. C2×#11745672C23semidirect
235. C2×#11745660C23semidirect
240. C2×#11745671C23semidirect
244. C2×#11745664C23semidirect
250. C2×#11745659C23semidirect
254. C2×C8×D59C23semidirect
255. #14273727C23semidirect
258. #14273726C23semidirect
272. #14273718C23semidirect
295. #14273707C23semidirect
297. #14273706C23semidirect
308. #14273703C23semidirect
343. Q8×Dic59C23semidirect
348. C4×Dic118C23semidirect
350. #14273692C23semidirect
376. #14273685C23semidirect
381. C2×C4⋊Dic59C23semidirect
384. C4⋊C4×D59C23semidirect
393. #14273660C23semidirect
394. #14273660C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273660C23semidirect
398. #14273659C23semidirect
399. #14273659C23semidirect
400. #14273659C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273651C23semidirect
407. #14273651C23semidirect
408. #14273651C23semidirect
409. #14273651C23semidirect
410. #14273650C23semidirect
417. #14273649C23semidirect
418. #14273649C23semidirect
419. #14273649C23semidirect
432. #14273647C23semidirect
433. #14273647C23semidirect
434. #14273647C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. #14273638C23semidirect
442. #14273637C23semidirect
443. C8×Dic59C23semidirect
446. C2×Q16×C59C23semidirect
450. C22×C8×C59C23semidirect
453. #125×C59C23semidirect
459. C22⋊Q8×C59C23semidirect
463. C4×Q8×C59C23semidirect
467. #117×C59C23semidirect
470. #107×C59C23semidirect
471. #106×C59C23semidirect
472. #106×C59C23semidirect
473. C4⋊C8×C59C23semidirect
474. #103×C59C23semidirect
475. #103×C59C23semidirect
476. #103×C59C23semidirect
477. #103×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. C4×C8×C59C23semidirect
943. #3296D59semidirect
988. #552C2×D59semidirect
1027. #488C2×D59semidirect
1033. #483C2×D59semidirect
1039. #482C2×D59semidirect
1049. #478C2×D59semidirect
1063. #467C2×D59semidirect
1069. #465C2×D59semidirect
1073. #464C2×D59semidirect
1081. #452C2×D59semidirect
1093. #450C2×D59semidirect
1101. C4×SD16C2×D59semidirect
1109. C8×D4C2×D59semidirect
1131. #416C2×D59semidirect
1139. C2×#102C2×D59semidirect
1143. C59#61184semidirect
1176. C2×Q16C22×D59semidirect
1202. C22×C8C22×D59semidirect
1226. #125C22×D59semidirect
1265. C22⋊Q8C22×D59semidirect
1311. C4×Q8C22×D59semidirect
1344. #117C22×D59semidirect
1365. #107C22×D59semidirect
1370. #106C22×D59semidirect
1371. #106C22×D59semidirect
1375. C4⋊C8C22×D59semidirect
1382. #103C22×D59semidirect
1383. #103C22×D59semidirect
1384. #103C22×D59semidirect
1385. #103C22×D59semidirect
1423. C22⋊C8C22×D59semidirect
1427. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378372
#214377262
#214363292
#214363252
#214363112
#214363052
#214361832
#214361772
#214361392
#214361282
#214361232
#214361142
#214361132
#214361112
#214359292
#214359212
#214359132
#214344492
#214340492
#214340102
#214339262
#214337302
#214337232
#214336152
#214333702
#450×D592
#214329502
#214328162
#214326182
C2×#168374052
C59×#32962
#6118459