Finite Group Databasebeta

← #29466294

Subgroups — #29466294

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#21437847C211yesmaximal, characteristic, complemented
2#21437724C211yesmaximal, characteristic
3#21436327C211yesmaximal, characteristic, complemented
4#21436322C211yesmaximal, characteristic, complemented
5#21436308C211yesmaximal, characteristic, complemented
6#21436306C211yesmaximal, characteristic, complemented
7#21436182C211yesmaximal, characteristic, complemented
8#21436180C211yesmaximal, characteristic, complemented
9#21436134C211yesmaximal, characteristic, complemented
10#21436125C211yesmaximal, characteristic, complemented
11#21436120C211yesmaximal, characteristic, complemented
12#21436116C211yesmaximal, characteristic, complemented
13#21436110C211yesmaximal, characteristic, complemented
14#21435928C211yesmaximal, characteristic, complemented
15#21435926C211yesmaximal, characteristic, complemented
16#21435923C211yesmaximal, characteristic, complemented
17#21435916C211yesmaximal, characteristic, complemented
18#21434451C211yesmaximal, characteristic, complemented
19#21434047C211yesmaximal, characteristic, complemented
20#21434008C211yesmaximal, characteristic, complemented
21#21433926C211yesmaximal, characteristic, complemented
22#21433730C211yesmaximal, characteristic, complemented
23#21433721C211yesmaximal, characteristic, complemented
24#21433612C211yesmaximal, characteristic, complemented
25#21433368C211yesmaximal, characteristic, complemented
26#450×D59C211yesmaximal, characteristic, complemented
27#21432952C211yesmaximal, characteristic, complemented
28#21432819C211yesmaximal, characteristic, complemented
29#21432617C211yesmaximal, characteristic, complemented
30#418×D59C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838123C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic, complemented
42#16838107C2211yescharacteristic, complemented
43#16838091—21no—
44#16838091C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic, complemented
46#16838086C2211yescharacteristic, complemented
47#16838084—21no—
48#16838080—21no—
49#16838077—21no—
50#16838049C2211yescharacteristic
51#16838048C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838041—21no—
55#16838039—21no—
56#16838037C2211yescharacteristic
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838032C2211yescharacteristic, complemented
62#16838020—21no—
63#16838009—21no—
64#16837975C2211yescharacteristic, complemented
65#16837968C2211yescharacteristic
66#16837965C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837958—21no—
70#16837930—21no—
71#16837912C2211yescharacteristic
72#16837911C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74C2×#14273695—21no—
75#120×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837878C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79#117×D59C2211yescharacteristic, complemented
80#16837765C2211yescharacteristic, complemented
81#16837762C2211yescharacteristic, complemented
82#16837760C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837748C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837644C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837493C2211yescharacteristic, complemented
147C4×#11745671C2211yescharacteristic, complemented
148C4×#11745670C2211yescharacteristic, complemented
149#16837487C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837467C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837439C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837407C2211yescharacteristic, complemented
165#16837406C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic
167#16837405C2211yescharacteristic
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837401C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837399C2211yescharacteristic, complemented
175#16837395C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#102×D59C2211yescharacteristic
179#102×D59C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204#14273772—24no—
205#14273772—42no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
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—42no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273756—42no—
231C2×Dic236C2311yescharacteristic, complemented
232C2×#11745672C2311yescharacteristic, complemented
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic, complemented
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240SD16×D59—24no—
241SD16×D59—42no—
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic, complemented
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic, complemented
248M16×D59—42no—
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic, complemented
254#14273727C2311yescharacteristic, complemented
255#14273726—21no—
256#14273726—21no—
257#14273726C2311yescharacteristic, complemented
258#14273723—21no—
259#14273723C2311yescharacteristic
260#14273722—21no—
261#14273722—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719—21no—
268#14273719—21no—
269#14273718—21no—
270#14273718C2311yescharacteristic, complemented
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712D411yescharacteristic
284#14273711—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic, complemented
296#14273706—21no—
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic, complemented
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705D411yescharacteristic
306#14273704—21no—
307#14273704D411yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic, complemented
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273700—21no—
315#14273700D411yescharacteristic
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699D411yescharacteristic
321#14273698—21no—
322#14273698—21no—
323#14273698C2311yescharacteristic
324#14273698C2311yescharacteristic
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697D411yescharacteristic
329#14273696—21no—
330#14273696—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59C2311yescharacteristic, complemented
343C4×Dic118—21no—
344C4×Dic118C2311yescharacteristic, complemented
345#14273692—21no—
346#14273692—21no—
347#14273692—21no—
348#14273692—21no—
349#14273692C2311yescharacteristic, complemented
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689C2311yescharacteristic
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686C2311yescharacteristic
366#14273686C2311yescharacteristic, complemented
367#14273685—21no—
368#14273685—21no—
369#14273685—21no—
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic, complemented
374#14273684—21no—
375#14273684—21no—
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic, complemented
384C2×C22⋊Dic59—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic, complemented
394#14273660C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273659C2311yescharacteristic, complemented
398#14273659C2311yescharacteristic, complemented
399#14273658C2311yescharacteristic, complemented
400#14273658C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402C4⋊(C59⋊C8)C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273652C2311yescharacteristic, complemented
409#14273651C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273650C2311yescharacteristic, complemented
412#14273650C2311yescharacteristic, complemented
413#14273650C2311yescharacteristic, complemented
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
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#14273637C2311yescharacteristic, complemented
442C4×C59⋊C8C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic, complemented
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic, complemented
452#127×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59—21no—
455#125×C59C2311yescharacteristic, complemented
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic, complemented
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59—21no—
464C4×Q8×C59C2311yescharacteristic, complemented
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59—21no—
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic, complemented
470#107×C59C2311yescharacteristic, complemented
471#107×C59C2311yescharacteristic, complemented
472#106×C59C2311yescharacteristic, complemented
473C4⋊C8×C59C2311yescharacteristic, complemented
474#103×C59C2311yescharacteristic, complemented
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic, complemented
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic, complemented
486#97×C59C2311yescharacteristic, complemented
487C24×C59—21no—
488C24×C59—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
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—22no—
501C2×D4×C59—22no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—41no—
509C2×D4×C59—41no—
510C2×D4×C59—82no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59—82no—
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59C2×D411yescharacteristic
544Q8×D59—22no—
545Q8×D59—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—41no—
550#11745687—44no—
551D4×D59—22no—
552D4×D59—22no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—82no—
564D4×D59—82no—
565D4×D59#4114yes—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—41no—
570C2×D236—22no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—41no—
574C2×D236C2×D411yescharacteristic
575C2×D236C2×D411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×C4×D59—22no—
579C2×C4×D59—22no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
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×D59C2×D411yescharacteristic
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×Dic118—21no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—22no—
600SD16×C59—41no—
601SD16×C59—41no—
602M16×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×C59C2×D411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C42×C59—21no—
628C42×C59—21no—
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59C2×D411yescharacteristic
641C22⋊Dic59C2×D411yescharacteristic
642#11745672—41no—
643#11745671—22no—
644#11745671—41no—
645#11745670—22no—
646#11745670—41no—
647#11745670—41no—
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)⋊C4C2×D411yescharacteristic
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
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59C2×D411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
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—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713Dic236—41no—
714#11745660—22no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719C8×D59—22no—
720C8×D59—22no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—42no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59C22×D411yescharacteristic
734C23×C59C22×D411yescharacteristic
735C22×D59—21no—
736C22×D59—22no—
737C22×D59—22no—
738C22×D59—24no—
739C22×D59—21no—
740C22×D59—41no—
741C22×D59—42no—
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—
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—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—41no—
770D4×C59—42no—
771D4×C59—42no—
772D4×C59—42no—
773D4×C59—81no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59C2×#4112yes—
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—21no—
785C2×C4×C59—21no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—22no—
794C22⋊D59—22no—
795C22⋊D59—22no—
796C22⋊D59—24no—
797C22⋊D59—41no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C2×Dic59—22no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—42no—
818C2×Dic59—42no—
819C2×Dic59—81no—
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825D236—22no—
826D236—22no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—42no—
831D236—81no—
832D236C2×#4112yes—
833C4×D59—22no—
834C4×D59—21no—
835C4×D59—21no—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—22no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—81no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59C2×#4112yes—
848C4×D59H(5,𝔽2)12yes—
849Dic118—22no—
850Dic118—21no—
851Dic118—21no—
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—22no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—84no—
882C22×C59—162no—
883C22×C59C23×D411yescharacteristic
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—22no—
891C2×D59—21no—
892C2×D59—44no—
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#54612yes—
905C2×D59#57712yes—
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×C59C22×#4111yescharacteristic
916C4×C59C2×H(5,𝔽2)11yescharacteristic
917Dic59—21no—
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—41no—
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#3310D5911yescharacteristic, complemented
942#3296—591no—
943#3296—591no—
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—41no—
960C2×C59—42no—
961C2×C59—41no—
962C2×C59—81no—
963C2×C59—81no—
964C2×C59C2×#54611yescharacteristic
965C2×C59C2×#57711yescharacteristic
966C2×C59#358511yescharacteristic
967D59—22no—
968D59—22no—
969D59—41no—
970D59—42no—
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—591no—
995#546—1181no—
996#546—1181no—
997D42—591no—
998D42—591no—
999D42—591no—
1000D42—1181no—
1001D42—1181no—
1002D42C2×D5911yescharacteristic
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#490C2×D5911yescharacteristic, complemented
1024#489—591no—
1025#489—591no—
1026#488—591no—
1027#488—591no—
1028#486—591no—
1029#486—591no—
1030#485—591no—
1031#485—591no—
1032#484—591no—
1033#483—591no—
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#480C2×D5911yescharacteristic, complemented
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#468C2×D5911yescharacteristic, complemented
1062#467—591no—
1063#467—591no—
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#464—591no—
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#460C2×D5911yescharacteristic, complemented
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
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#450C2×D5911yescharacteristic, complemented
1093#450C2×D5911yescharacteristic, complemented
1094#440—591no—
1095#440—591no—
1096#440—591no—
1097#440C2×D5911yescharacteristic, complemented
1098C4×SD16—591no—
1099C4×SD16—591no—
1100C4×SD16—591no—
1101C4×SD16—591no—
1102#436—591no—
1103#436—591no—
1104#435—591no—
1105#435—591no—
1106#435—591no—
1107#435C2×D5911yescharacteristic, complemented
1108C8×D4—591no—
1109C8×D4—591no—
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#418C2×D5911yescharacteristic, complemented
1125#417—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131#416—591no—
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—591no—
1151C2×#41—1181no—
1152C22×Q8—591no—
1153C22×D4—21no—
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—1184no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—2362no—
1171C22×D4C22×D5911yescharacteristic
1172C22×D4C22×D5911yescharacteristic
1173C23×C4—591no—
1174#137—2362no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—1184no—
1185C2×SD16—2362no—
1186C2×SD16C22×D5911yescharacteristic
1187C2×SD16C22×D5911yescharacteristic
1188C2×SD16C22×D5911yescharacteristic, complemented
1189#131—2362no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—591no—
1193C2×M16—591no—
1194C2×M16—591no—
1195C2×M16—2362no—
1196C2×M16C22×D5911yescharacteristic
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C22×C8—591no—
1201C22×C8—591no—
1202C22×C8C22×D5911yescharacteristic, complemented
1203C4⋊Q8—591no—
1204C4⋊Q8—591no—
1205C4⋊Q8—1181no—
1206C4⋊Q8—1181no—
1207#127—591no—
1208#127—1181no—
1209#127C22×D5911yescharacteristic
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—591no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#123—21no—
1234#123—591no—
1235#123—591no—
1236#123—1181no—
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—591no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
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—1181no—
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#121C22×D5911yescharacteristic
1283#121C22×D5911yescharacteristic
1284#120—21no—
1285#120—21no—
1286#120—591no—
1287#120—591no—
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
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—591no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4C22×D5911yescharacteristic, complemented
1351C2×C22⋊C4—1181no—
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#107C22×D5911yescharacteristic, complemented
1365#107C22×D5911yescharacteristic, complemented
1366#106—591no—
1367#106—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
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#103—591no—
1383#103—591no—
1384#103—591no—
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#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic, complemented
1414#102C22×D5911yescharacteristic, complemented
1415#102C22×D5911yescharacteristic, complemented
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#97C22×D5911yescharacteristic, complemented
1426C4×C8—591no—
1427C4×C8—591no—
1428C24—21no—
1429C24—21no—
1430C24—591no—
1431C24—1181no—
1432C24—1181no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—4722no—
1438C24—4722no—
1439C24—2364no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—591no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8—1182no—
1455C2×Q8—1182no—
1456C2×Q8—1181no—
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—22no—
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—82no—
1469C2×D4—594no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—1182no—
1479C2×D4—1181no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1182no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1182no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—4722no—
1501C2×D4—4722no—
1502C2×D4—4722no—
1503C2×D4—2361no—
1504C2×D4—2361no—
1505C2×D4—2361no—
1506C2×D4—2361no—
1507C2×D4—2364no—
1508C2×D4—2364no—
1509C2×D4—2364no—
1510C2×D4—2364no—
1511C2×D4—2364no—
1512C2×D4—2364no—
1513C2×D4D4×D5911yescharacteristic
1514C2×D4C23×D5911yescharacteristic
1515C2×D4C23×D5911yescharacteristic
1516C2×D4C23×D5911yescharacteristic
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—591no—
1520C22×C4—591no—
1521C22×C4—591no—
1522C22×C4—591no—
1523C22×C4—591no—
1524C22×C4—591no—
1525C22×C4—1182no—
1526C22×C4—1182no—
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×C4C23×D5911yescharacteristic
1539C22×C4C23×D5911yescharacteristic
1540Q16—2361no—
1541Q16—2361no—
1542SD16—22no—
1543SD16—41no—
1544SD16—41no—
1545SD16—1182no—
1546SD16—1182no—
1547SD16—1182no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551SD16—2361no—
1552M16—41no—
1553M16—1182no—
1554M16—1182no—
1555M16—2361no—
1556M16—2361no—
1557M16—2361no—
1558C2×C8—41no—
1559C2×C8—591no—
1560C2×C8—591no—
1561C2×C8—591no—
1562C2×C8—591no—
1563C2×C8—1182no—
1564C2×C8—1182no—
1565C2×C8—2361no—
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—591no—
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—1181no—
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—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
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—21no—
1668C23—42no—
1669C23—42no—
1670C23—42no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23—591no—
1675C23—591no—
1676C23—591no—
1677C23—1184no—
1678C23—1182no—
1679C23—1182no—
1680C23—1181no—
1681C23—1181no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—47216no—
1692C23—2361no—
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—1182no—
1706Q8—1181no—
1707Q8—1181no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—4721no—
1711Q8—4721no—
1712Q8—2362no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—41no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—592no—
1726D4—1182no—
1727D4—1182no—
1728D4—1184no—
1729D4—1182no—
1730D4—1182no—
1731D4—1182no—
1732D4—1181no—
1733D4—1181no—
1734D4—1181no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—2362no—
1741D4—2362no—
1742D4—2361no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
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—81no—
1761C2×C4—81no—
1762C2×C4—591no—
1763C2×C4—592no—
1764C2×C4—592no—
1765C2×C4—591no—
1766C2×C4—591no—
1767C2×C4—591no—
1768C2×C4—591no—
1769C2×C4—1182no—
1770C2×C4—1182no—
1771C2×C4—1182no—
1772C2×C4—1181no—
1773C2×C4—1181no—
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—4721no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—2362no—
1789C2×C4—2362no—
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—22no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—84no—
1822C22—162no—
1823C22—592no—
1824C22—592no—
1825C22—1181no—
1826C22—1181no—
1827C22—1181no—
1828C22—1181no—
1829C22—1181no—
1830C22—1182no—
1831C22—1181no—
1832C22—1181no—
1833C22—9442no—
1834C22—4724no—
1835C22—4724no—
1836C22—4724no—
1837C22—4724no—
1838C22—4724no—
1839C22—2364no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22C22×D4×D5911yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—592no—
1856C4—1181no—
1857C4—1181no—
1858C4—1181no—
1859C4—1181no—
1860C4—2361no—
1861C4—2361no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4C2×#41×D5911yescharacteristic
1867C4H(5,𝔽2)×D5911yescharacteristic
1868C2—41no—
1869C2—41no—
1870C2—42no—
1871C2—81no—
1872C2—81no—
1873C2—1182no—
1874C2—1182no—
1875C2—4721no—
1876C2—2361no—
1877C2—2362no—
1878C2#546×D5911yescharacteristic
1879C2#577×D5911yescharacteristic
1880C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
prime radical#21437724C2
hypercenter#3310D59
hypocenterC59#61184
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21437847C2semidirect
3. #21436327C2semidirect
4. #21436322C2semidirect
5. #21436308C2semidirect
6. #21436306C2semidirect
7. #21436182C2semidirect
8. #21436180C2semidirect
9. #21436134C2semidirect
10. #21436125C2semidirect
11. #21436120C2semidirect
12. #21436116C2semidirect
13. #21436110C2semidirect
14. #21435928C2semidirect
15. #21435926C2semidirect
16. #21435923C2semidirect
17. #21435916C2semidirect
18. #21434451C2semidirect
19. #21434047C2semidirect
20. #21434008C2semidirect
21. #21433926C2semidirect
22. #21433730C2semidirect
23. #21433721C2semidirect
24. #21433612C2semidirect
25. #21433368C2semidirect
26. #450×D59C2semidirect
27. #21432952C2semidirect
28. #21432819C2semidirect
29. #21432617C2semidirect
30. #418×D59C2semidirect
31. C59×#3310C2semidirect
34. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838123C22semidirect
40. #16838122C22semidirect
41. #16838112C22semidirect
42. #16838107C22semidirect
44. #16838091C22semidirect
45. #16838090C22semidirect
46. #16838086C22semidirect
61. #16838032C22semidirect
64. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
76. #16837883C22semidirect
77. #16837878C22semidirect
79. #117×D59C22semidirect
80. #16837765C22semidirect
81. #16837762C22semidirect
82. #16837760C22semidirect
83. #16837759C22semidirect
84. #16837755C22semidirect
85. #16837748C22semidirect
86. #16837747C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837739C22semidirect
90. #16837734C22semidirect
91. #16837729C22semidirect
92. #16837727C22semidirect
93. #16837724C22semidirect
94. #16837723C22semidirect
95. #16837723C22semidirect
96. #16837720C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837714C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837690C22semidirect
106. #16837682C22semidirect
107. #16837681C22semidirect
108. #16837660C22semidirect
109. #16837658C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837647C22semidirect
113. #16837646C22semidirect
114. #16837646C22semidirect
115. #16837644C22semidirect
116. #16837642C22semidirect
117. #16837632C22semidirect
118. #16837631C22semidirect
119. #16837630C22semidirect
120. #16837628C22semidirect
121. #16837628C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837599C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837562C22semidirect
132. #16837561C22semidirect
133. #16837555C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837554C22semidirect
137. #16837553C22semidirect
138. #16837553C22semidirect
139. #16837552C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837501C22semidirect
146. #16837493C22semidirect
147. C4×#11745671C22semidirect
148. C4×#11745670C22semidirect
149. #16837487C22semidirect
150. #16837480C22semidirect
151. #16837478C22semidirect
152. #16837476C22semidirect
153. #16837476C22semidirect
154. #16837475C22semidirect
155. #16837467C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837443C22semidirect
158. #16837439C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837408C22semidirect
163. #16837407C22semidirect
164. #16837407C22semidirect
165. #16837406C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837405C22semidirect
171. #16837401C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837399C22semidirect
175. #16837395C22semidirect
176. #16837395C22semidirect
177. #16837395C22semidirect
179. #102×D59C22semidirect
180. #102×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
231. C2×Dic236C23semidirect
232. C2×#11745672C23semidirect
237. C2×#11745670C23semidirect
244. C2×#11745664C23semidirect
247. C2×#11745659C23semidirect
253. C2×C8×D59C23semidirect
254. #14273727C23semidirect
257. #14273726C23semidirect
270. #14273718C23semidirect
295. #14273707C23semidirect
299. #14273706C23semidirect
309. #14273703C23semidirect
342. Q8×Dic59C23semidirect
344. C4×Dic118C23semidirect
349. #14273692C23semidirect
366. #14273686C23semidirect
373. #14273685C23semidirect
383. C4⋊C4×D59C23semidirect
393. #14273661C23semidirect
394. #14273660C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273659C23semidirect
398. #14273659C23semidirect
399. #14273658C23semidirect
400. #14273658C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273651C23semidirect
410. #14273650C23semidirect
411. #14273650C23semidirect
412. #14273650C23semidirect
413. #14273650C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. #14273637C23semidirect
442. C4×C59⋊C8C23semidirect
443. C8×Dic59C23semidirect
449. C2×SD16×C59C23semidirect
451. C22×C8×C59C23semidirect
455. #125×C59C23semidirect
458. C22⋊Q8×C59C23semidirect
464. C4×Q8×C59C23semidirect
469. C2×C4⋊C4×C59C23semidirect
470. #107×C59C23semidirect
471. #107×C59C23semidirect
472. #106×C59C23semidirect
473. C4⋊C8×C59C23semidirect
474. #103×C59C23semidirect
481. #102×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. #97×C59C23semidirect
941. #3310D59semidirect
988. #552C2×D59semidirect
1023. #490C2×D59semidirect
1039. #482C2×D59semidirect
1045. #480C2×D59semidirect
1049. #478C2×D59semidirect
1061. #468C2×D59semidirect
1069. #465C2×D59semidirect
1077. #460C2×D59semidirect
1092. #450C2×D59semidirect
1093. #450C2×D59semidirect
1097. #440C2×D59semidirect
1107. #435C2×D59semidirect
1124. #418C2×D59semidirect
1139. C2×#102C2×D59semidirect
1143. C59#61184semidirect
1188. C2×SD16C22×D59semidirect
1202. C22×C8C22×D59semidirect
1226. #125C22×D59semidirect
1265. C22⋊Q8C22×D59semidirect
1311. C4×Q8C22×D59semidirect
1350. C2×C4⋊C4C22×D59semidirect
1364. #107C22×D59semidirect
1365. #107C22×D59semidirect
1371. #106C22×D59semidirect
1375. C4⋊C8C22×D59semidirect
1385. #103C22×D59semidirect
1413. #102C22×D59semidirect
1414. #102C22×D59semidirect
1415. #102C22×D59semidirect
1423. C22⋊C8C22×D59semidirect
1425. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378472
#214377242
#214363272
#214363222
#214363082
#214363062
#214361822
#214361802
#214361342
#214361252
#214361202
#214361162
#214361102
#214359282
#214359262
#214359232
#214359162
#214344512
#214340472
#214340082
#214339262
#214337302
#214337212
#214336122
#214333682
#450×D592
#214329522
#214328192
#214326172
#418×D592
C59×#33102
#6118459