Finite Group Databasebeta

← #29465821

Subgroups — #29465821

Order 15104.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D59C211yesmaximal, characteristic, complemented
2D4×#11745689C211yesmaximal, characteristic
3#21436368C211yesmaximal, characteristic, complemented
4#21436360C211yesmaximal, characteristic, complemented
5#21436318C211yesmaximal, characteristic, complemented
6#21436310C211yesmaximal, characteristic, complemented
7#21436227C211yesmaximal, characteristic, complemented
8#21436219C211yesmaximal, characteristic, complemented
9#21436199C211yesmaximal, characteristic, complemented
10#21436191C211yesmaximal, characteristic, complemented
11#21436147C211yesmaximal, characteristic, complemented
12#21436119C211yesmaximal, characteristic, complemented
13#21436111C211yesmaximal, characteristic, complemented
14#21435987C211yesmaximal, characteristic, complemented
15#21435979C211yesmaximal, characteristic, complemented
16#21435937C211yesmaximal, characteristic, complemented
17#21435929C211yesmaximal, characteristic, complemented
18#21434498C211yesmaximal, characteristic, complemented
19#21434028C211yesmaximal, characteristic, complemented
20#21434020C211yesmaximal, characteristic, complemented
21#21433915C211yesmaximal, characteristic, complemented
22#21433725C211yesmaximal, characteristic, complemented
23#21433723C211yesmaximal, characteristic, complemented
24#21433569C211yesmaximal, characteristic, complemented
25#21433355C211yesmaximal, characteristic, complemented
26#21433355C211yesmaximal, characteristic, complemented
27#21432912C211yesmaximal, characteristic, complemented
28#21432829C211yesmaximal, characteristic, complemented
29#21432614C211yesmaximal, characteristic, complemented
30C2×#16837402C211yesmaximal, characteristic, complemented
31C59×#3312C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273759C2211yescharacteristic
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C22×#11745659C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838094C2211yescharacteristic, complemented
40#16838093C2211yescharacteristic, complemented
41#16838092C2211yescharacteristic
42#16838091C2211yescharacteristic, complemented
43#16838090C2211yescharacteristic, complemented
44#16838089—21no—
45#16838088—21no—
46#16838087C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838085—21no—
49#16838084—21no—
50#16838074C2211yescharacteristic
51#16838063C2211yescharacteristic
52#16838063C2211yescharacteristic
53#16838055—21no—
54#16838055C2211yescharacteristic
55#16838043—21no—
56#16838043—21no—
57#16838043C2211yescharacteristic
58#16838043C2211yescharacteristic
59D4×D236—21no—
60D4×D236C2211yescharacteristic
61#16837953—21no—
62#16837953C2211yescharacteristic
63#126×D59—21no—
64#125×D59—21no—
65#125×D59C2211yescharacteristic, complemented
66#16837915—21no—
67#16837915—21no—
68#16837915C2211yescharacteristic
69#16837915C2211yescharacteristic
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic, complemented
72C22⋊Q8×D59C2211yescharacteristic, complemented
73C4×#11745689C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic
77#117×D59—21no—
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837770C2211yescharacteristic, complemented
81#16837768C2211yescharacteristic, complemented
82#16837767C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837701C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837657C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837640C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837627C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837626C2211yescharacteristic, complemented
126#16837609C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837602C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837558C2211yescharacteristic, complemented
138#16837558C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837555C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837507C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146Q16×Dic59C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148#16837489C2211yescharacteristic, complemented
149#16837487C2211yescharacteristic, complemented
150#16837478C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837474C2211yescharacteristic
154#16837472C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837408C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837402C2211yescharacteristic
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837402C2211yescharacteristic, complemented
176#16837402C2211yescharacteristic, complemented
177#16837402C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273651C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#451C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—24no—
209C2×#11745689—42no—
210C2×#11745689—42no—
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745689C2311yescharacteristic
215C2×#11745689C2311yescharacteristic
216C2×#11745689C2311yescharacteristic
217C2×#11745689C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C22×C4×D59—21no—
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273759—24no—
231#14273759—42no—
232#14273759—42no—
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×#11745671C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745659—42no—
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273724—21no—
255#14273724C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273719—21no—
264#14273719C2311yescharacteristic
265#14273718—21no—
266#14273718—21no—
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273716—21no—
276#14273716—21no—
277#14273716C2311yescharacteristic
278#14273716C2311yescharacteristic
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273711—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273705—21no—
297#14273705—21no—
298#14273704—21no—
299#14273704—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273697—21no—
321#14273697—21no—
322#14273697—21no—
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326Q8×Dic59C2311yescharacteristic
327Q8×Dic59C2311yescharacteristic
328C4×Dic118—21no—
329C4×Dic118C2311yescharacteristic
330#14273692—21no—
331#14273692C2311yescharacteristic
332C4×D236—21no—
333C4×D236—21no—
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59D411yescharacteristic
337#14273689—21no—
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689D411yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59C2311yescharacteristic
347C4×C22⋊D59C2311yescharacteristic
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4D411yescharacteristic
351(C22⋊D59)⋊C4D411yescharacteristic
352#14273686—21no—
353#14273686C2311yescharacteristic
354#14273685—21no—
355#14273685—21no—
356#14273685—21no—
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366C2×C4⋊Dic59C2311yescharacteristic
367C2×Dic59⋊C4—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59D411yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59D411yescharacteristic
388C22⋊C4×D59D411yescharacteristic
389C42×D59—21no—
390C42×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C22×Q8×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×Q16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59—21no—
452C4⋊Q8×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59—21no—
455#125×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467#117×C59—21no—
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490C23×D59C2×D411yescharacteristic
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—22no—
494C2×Q8×C59—22no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59C2×D411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59C2411yescharacteristic
506C22×C4×C59C2411yescharacteristic
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512C22×Dic59C2×D411yescharacteristic
513C22×Dic59C2×D411yescharacteristic
514#11745689—22no—
515#11745689—22no—
516#11745689—22no—
517#11745689—22no—
518#11745689—22no—
519#11745689—22no—
520#11745689—22no—
521#11745689—22no—
522#11745689—22no—
523#11745689—44no—
524#11745689—44no—
525#11745689—41no—
526#11745689—41no—
527#11745689—41no—
528#11745689—41no—
529#11745689—44no—
530#11745689—44no—
531#11745689#4114yes—
532Q8×D59—22no—
533Q8×D59—22no—
534D4×D59—42no—
535D4×D59—44no—
536C2×D236—21no—
537C2×D236—22no—
538C2×D236—22no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236—44no—
554C2×D236—44no—
555C2×D236C2×D411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×C4×D59—21no—
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—22no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—44no—
579C2×C4×D59—44no—
580C2×C4×D59—44no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×Dic118—21no—
591C2×Dic118C2411yescharacteristic
592Q16×C59—22no—
593Q16×C59—41no—
594Q16×C59—41no—
595M16×C59—41no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59C2×D411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59C2×D411yescharacteristic
623C22⋊C4×C59C2×D411yescharacteristic
624C42×C59—21no—
625C42×C59—21no—
626C42×C59—21no—
627C42×C59C2411yescharacteristic
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59C2×D411yescharacteristic
632C22⋊Dic59C2×D411yescharacteristic
633#11745672—22no—
634#11745672—41no—
635#11745672—41no—
636#11745671—22no—
637#11745671—41no—
638#11745671—41no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710#11745660—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—22no—
716#11745659—22no—
717#11745659—41no—
718#11745659—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59C22×D411yescharacteristic
722C23×C59C22×D411yescharacteristic
723C22×D59—22no—
724C22×D59—21no—
725C22×D59—22no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—41no—
731C22×D59—41no—
732C22×D59—42no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59C22×D411yescharacteristic
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—42no—
749Q8×C59—42no—
750Q8×C59C2×#4112yes—
751D4×C59—22no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—42no—
765C2×C4×C59—42no—
766C2×C4×C59—42no—
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2511yescharacteristic
772C22⋊D59—22no—
773C22⋊D59—41no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C2×Dic59—22no—
777C2×Dic59—22no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—42no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—24no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—41no—
796D236—42no—
797D236—42no—
798D236—42no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—42no—
804D236—42no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236C2×#4112yes—
809C4×D59—22no—
810C4×D59—22no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—22no—
816C4×D59—22no—
817C4×D59—24no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—81no—
834C4×D59C2×#4112yes—
835C4×D59H(5,𝔽2)12yes—
836Dic118—21no—
837Dic118—21no—
838Dic118—42no—
839C8×C59—21no—
840C8×C59—21no—
841C8×C59—21no—
842C8×C59—21no—
843C59⋊C8—21no—
844C59⋊C8—21no—
845C59⋊C8—21no—
846C59⋊C8—21no—
847#61163—591nomaximal, Sylow
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—21no—
852C22×C59—21no—
853C22×C59#57512yes—
854C22×C59C23×D411yescharacteristic
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—22no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—44no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—82no—
874C2×D59—84no—
875C2×D59—84no—
876C2×D59#54612yes—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—22no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59C22×#4111yescharacteristic
890C4×C59C2×H(5,𝔽2)11yescharacteristic
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59#54612yes—
901C2×#552—591no—
902D4×#41—591no—
903#3327—591no—
904#3327—591no—
905#3323—591no—
906#3323—591no—
907#3317—591no—
908#3317—591no—
909#3315—591no—
910#3315—591no—
911#3312—591no—
912#3312D5911yescharacteristic, complemented
913#3310—591no—
914#3310—591no—
915#3300—591no—
916#3300—591no—
917#3296—591no—
918#3296—591no—
919#3142—591no—
920#3093—591no—
921#3092—591no—
922#3080—591no—
923#3056—591no—
924#3056—591no—
925#3037—591no—
926#3007—591no—
927#3007—591no—
928C4×#137—591no—
929D4×M16—591no—
930#2896—591no—
931C2×#417—591no—
932C2×C59—22no—
933C2×C59—41no—
934C2×C59C2×#54611yescharacteristic
935C2×C59C2×#57511yescharacteristic
936C2×C59#358611yescharacteristic
937D59—22no—
938D59—41no—
939D59—41no—
940D59—42no—
941D59—81no—
942D59—81no—
943C22×#41—591no—
944C22×#41—591no—
945C2×#137—591no—
946C2×#137—591no—
947C2×#137—591no—
948C22×M16—591no—
949C22×M16—591no—
950#552—591no—
951#552—591no—
952#552—591no—
953#552—591no—
954#552—591no—
955#552—591no—
956#552—591no—
957#552—1181no—
958#552—1181no—
959#552—1181no—
960#552—1181no—
961#552C2×D5911yescharacteristic
962#550—591no—
963D4×Q8C2×D5911yescharacteristic
964#548—591no—
965#548—591no—
966#547—591no—
967#547—1181no—
968#546—591no—
969#546—591no—
970#546—1181no—
971#546—1181no—
972D42—591no—
973D42—1181no—
974#532—591no—
975#532—1181no—
976C2×#126—1181no—
977C2×#125—591no—
978C2×#125—1181no—
979#525—591no—
980#525—591no—
981#525—1181no—
982#525—1181no—
983C2×#123—1181no—
984C2×C22⋊Q8—591no—
985C2×C22⋊Q8—591no—
986C4×#41—591no—
987C2×C4×Q8—591no—
988C2×C4×D4—591no—
989C2×C4×D4—1181no—
990C2×#117—591no—
991C2×#117—1181no—
992C22×C4⋊C4—591no—
993#491—591no—
994#491C2×D5911yescharacteristic, complemented
995#490—591no—
996#490—591no—
997#488—591no—
998#488—591no—
999#488—591no—
1000#488—591no—
1001#485—591no—
1002#485—591no—
1003#485—591no—
1004#485C2×D5911yescharacteristic, complemented
1005#484—591no—
1006#484—591no—
1007#483—591no—
1008#483C2×D5911yescharacteristic, complemented
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#482—591no—
1013#481—591no—
1014#481—591no—
1015#480—591no—
1016#480—591no—
1017#479—591no—
1018#479—591no—
1019#479—591no—
1020#479C2×D5911yescharacteristic, complemented
1021#478—591no—
1022#478—591no—
1023#478—591no—
1024#478—591no—
1025#470—591no—
1026#470—591no—
1027#470—591no—
1028#470C2×D5911yescharacteristic, complemented
1029#468—591no—
1030#468—591no—
1031#468—591no—
1032#468—591no—
1033#467—591no—
1034#467—591no—
1035#467—591no—
1036#467C2×D5911yescharacteristic, complemented
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#465—591no—
1041#464—591no—
1042#464—591no—
1043#464—591no—
1044#464—591no—
1045#462—591no—
1046#462C2×D5911yescharacteristic, complemented
1047#460—591no—
1048#460—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#452—591no—
1053#452—591no—
1054#452—591no—
1055#452—591no—
1056#452—591no—
1057#451—591no—
1058#451—591no—
1059#451C2×D5911yescharacteristic, complemented
1060#451C2×D5911yescharacteristic, complemented
1061#450—591no—
1062#450—591no—
1063#450—591no—
1064#450—591no—
1065#441—591no—
1066#441C2×D5911yescharacteristic, complemented
1067#440—591no—
1068#440—591no—
1069C4×Q16—591no—
1070C4×Q16—591no—
1071C4×SD16—591no—
1072C4×SD16—591no—
1073#436—591no—
1074#436—591no—
1075#435—591no—
1076#435—591no—
1077#435—591no—
1078#435C2×D5911yescharacteristic
1079C8×D4—591no—
1080C8×D4—591no—
1081#428—591no—
1082#428—591no—
1083#428—591no—
1084#423—591no—
1085#419—591no—
1086#419—591no—
1087#419C2×D5911yescharacteristic, complemented
1088#418—591no—
1089#418—591no—
1090#417—591no—
1091#417—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#417—591no—
1096#417—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107C2×#103—591no—
1108C2×#103C2×D5911yescharacteristic, complemented
1109C2×#102—591no—
1110C2×#102—591no—
1111#407—591no—
1112#407—591no—
1113C4×M16—591no—
1114C59#6116311yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1184no—
1127C2×#41—1184no—
1128C2×#41—2362no—
1129C2×#41—2362no—
1130C22×Q8—591no—
1131C22×Q8C22×D5911yescharacteristic
1132C22×Q8C22×D5911yescharacteristic
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144#137—1184no—
1145#137—2362no—
1146#137—2362no—
1147C2×Q16—591no—
1148C2×Q16—591no—
1149C2×Q16—591no—
1150C2×Q16C22×D5911yescharacteristic
1151C2×Q16C22×D5911yescharacteristic
1152C2×Q16C22×D5911yescharacteristic
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C2×M16—591no—
1165C2×M16—591no—
1166C2×M16—2362no—
1167C2×M16—2362no—
1168C2×M16C22×D5911yescharacteristic
1169C22×C8—591no—
1170C22×C8—591no—
1171C22×C8—591no—
1172C22×C8C22×D5911yescharacteristic
1173C4⋊Q8—21no—
1174C4⋊Q8C22×D5911yescharacteristic
1175#127—591no—
1176#127—1181no—
1177#126—21no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—21no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#125—1181no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#125C22×D5911yescharacteristic
1199#124—591no—
1200#124—591no—
1201#124—1181no—
1202#124—1181no—
1203#123—21no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8C22×D5911yescharacteristic
1234C22⋊Q8C22×D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236C22⋊Q8C22×D5911yescharacteristic
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8C22×D5911yescharacteristic
1264C4×Q8C22×D5911yescharacteristic
1265C4×D4—21no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4C22×D5911yescharacteristic
1287#117—21no—
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117C22×D5911yescharacteristic
1303C2×C4⋊C4—591no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—591no—
1307C2×C4⋊C4—591no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C4⋊C4—1181no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4—1181no—
1317C2×C4⋊C4—1181no—
1318C2×C4⋊C4—1181no—
1319C2×C4⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4—591no—
1321C2×C22⋊C4—591no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C42—591no—
1328C2×C42—1181no—
1329C2×C42—1181no—
1330C2×C42—1181no—
1331#107—591no—
1332#107—591no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106C22×D5911yescharacteristic
1342#106C22×D5911yescharacteristic
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8C22×D5911yescharacteristic
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
1362#103C22×D5911yescharacteristic
1363#103C22×D5911yescharacteristic
1364#103C22×D5911yescharacteristic
1365#103C22×D5911yescharacteristic
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
1368#103C22×D5911yescharacteristic
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390C22⋊C8—591no—
1391C22⋊C8—591no—
1392C22⋊C8—591no—
1393C22⋊C8C22×D5911yescharacteristic
1394C22⋊C8C22×D5911yescharacteristic
1395#97—591no—
1396#97C22×D5911yescharacteristic
1397C4×C8—591no—
1398C4×C8—591no—
1399C24—591no—
1400C24—591no—
1401C24—1181no—
1402C24—1181no—
1403#41—594no—
1404#41—1182no—
1405#41—1182no—
1406#41—1182no—
1407#41—1182no—
1408#41—1182no—
1409#41—1182no—
1410#41—1182no—
1411#41—1182no—
1412#41—1182no—
1413#41—2364no—
1414#41—2364no—
1415#41—2361no—
1416#41—2361no—
1417#41—2361no—
1418#41—2361no—
1419#41—2364no—
1420#41—2364no—
1421C2×Q8—21no—
1422C2×Q8—21no—
1423C2×Q8—22no—
1424C2×Q8—22no—
1425C2×Q8—41no—
1426C2×Q8—41no—
1427C2×Q8—591no—
1428C2×Q8—1181no—
1429C2×Q8—1182no—
1430C2×Q8—1182no—
1431C2×Q8C23×D5911yescharacteristic
1432C2×Q8C23×D5911yescharacteristic
1433C2×Q8C23×D5911yescharacteristic
1434C2×Q8C23×D5911yescharacteristic
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—1182no—
1442C2×D4—1182no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2364no—
1461C2×D4—2364no—
1462C2×D4—2362no—
1463C2×D4—2364no—
1464C2×D4D4×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—1181no—
1480C22×C4—1182no—
1481C22×C4—1182no—
1482C22×C4—1182no—
1483C22×C4—1182no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—2364no—
1500C22×C4—2364no—
1501C22×C4—2364no—
1502C22×C4C23×D5911yescharacteristic
1503C22×C4C23×D5911yescharacteristic
1504Q16—22no—
1505Q16—41no—
1506Q16—41no—
1507Q16—1182no—
1508Q16—2361no—
1509Q16—2361no—
1510SD16—1182no—
1511SD16—1182no—
1512SD16—2361no—
1513SD16—2361no—
1514SD16—2361no—
1515SD16—2361no—
1516M16—41no—
1517M16—1182no—
1518M16—1182no—
1519M16—1182no—
1520M16—1182no—
1521M16—2361no—
1522M16—2361no—
1523M16—2361no—
1524C2×C8—41no—
1525C2×C8—591no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—2361no—
1530C2×C8—2361no—
1531C2×C8—2361no—
1532C2×C8C23×D5911yescharacteristic
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—591no—
1550C4⋊C4—591no—
1551C4⋊C4—591no—
1552C4⋊C4—591no—
1553C4⋊C4—591no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4D4×D5911yescharacteristic
1579C4⋊C4C23×D5911yescharacteristic
1580C4⋊C4C23×D5911yescharacteristic
1581C4⋊C4C23×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—591no—
1589C22⋊C4—591no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4D4×D5911yescharacteristic
1617C22⋊C4D4×D5911yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—591no—
1622C42—591no—
1623C42—591no—
1624C42—1181no—
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42—1181no—
1631C42—1181no—
1632C42C23×D5911yescharacteristic
1633C23—591no—
1634C23—591no—
1635C23—591no—
1636C23—1182no—
1637C23—1182no—
1638C23—1182no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—4721no—
1643C23—4721no—
1644C23—2361no—
1645C23—2361no—
1646C23—2361no—
1647C23—2362no—
1648C23—2362no—
1649C23—2362no—
1650C23—2362no—
1651C23C2×D4×D5911yescharacteristic
1652C23C2×D4×D5911yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—21no—
1659Q8—21no—
1660Q8—42no—
1661Q8—42no—
1662Q8—1181no—
1663Q8—1181no—
1664Q8—2362no—
1665Q8#41×D5912yes—
1666D4—22no—
1667D4—592no—
1668D4—1184no—
1669D4—1182no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2361no—
1689D4—2362no—
1690D4—2362no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—591no—
1707C2×C4—592no—
1708C2×C4—592no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1184no—
1716C2×C4—1182no—
1717C2×C4—1182no—
1718C2×C4—1182no—
1719C2×C4—1182no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—4721no—
1730C2×C4—2361no—
1731C2×C4—2361no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C24×D5911yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—592no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—1181no—
1769C22—1182no—
1770C22—1181no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—4724no—
1775C22—4722no—
1776C22—4724no—
1777C22—2364no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22#1683820112yes—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—592no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—1181no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4—2361no—
1809C4—2361no—
1810C4C2×#41×D5911yescharacteristic
1811C4H(5,𝔽2)×D5911yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—1182no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2—2361no—
1819C2—2362no—
1820C2#546×D5911yescharacteristic
1821C2C2×#1683820111yescharacteristic
1822C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3312C2
socleC22×C59C23×D4
prime radicalD4×#11745689C2
hypercenter#3312D59
hypocenterC59#61163
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #552×D59C2semidirect
3. #21436368C2semidirect
4. #21436360C2semidirect
5. #21436318C2semidirect
6. #21436310C2semidirect
7. #21436227C2semidirect
8. #21436219C2semidirect
9. #21436199C2semidirect
10. #21436191C2semidirect
11. #21436147C2semidirect
12. #21436119C2semidirect
13. #21436111C2semidirect
14. #21435987C2semidirect
15. #21435979C2semidirect
16. #21435937C2semidirect
17. #21435929C2semidirect
18. #21434498C2semidirect
19. #21434028C2semidirect
20. #21434020C2semidirect
21. #21433915C2semidirect
22. #21433725C2semidirect
23. #21433723C2semidirect
24. #21433569C2semidirect
25. #21433355C2semidirect
26. #21433355C2semidirect
27. #21432912C2semidirect
28. #21432829C2semidirect
29. #21432614C2semidirect
30. C2×#16837402C2semidirect
31. C59×#3312C2semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C22×#11745659C22semidirect
38. C2×M16×D59C22semidirect
39. #16838094C22semidirect
40. #16838093C22semidirect
42. #16838091C22semidirect
43. #16838090C22semidirect
46. #16838087C22semidirect
47. #16838086C22semidirect
65. #125×D59C22semidirect
71. C22⋊Q8×D59C22semidirect
72. C22⋊Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837770C22semidirect
81. #16837768C22semidirect
82. #16837767C22semidirect
83. #16837758C22semidirect
84. #16837758C22semidirect
85. #16837758C22semidirect
86. #16837758C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837730C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837726C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837707C22semidirect
104. #16837705C22semidirect
105. #16837703C22semidirect
106. #16837701C22semidirect
107. #16837699C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837657C22semidirect
111. #16837651C22semidirect
112. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837648C22semidirect
115. #16837642C22semidirect
116. #16837641C22semidirect
117. #16837640C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837632C22semidirect
121. #16837631C22semidirect
122. #16837627C22semidirect
123. #16837627C22semidirect
124. #16837626C22semidirect
125. #16837626C22semidirect
126. #16837609C22semidirect
127. #16837603C22semidirect
128. #16837602C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837567C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837558C22semidirect
138. #16837558C22semidirect
139. #16837555C22semidirect
140. #16837555C22semidirect
141. #16837552C22semidirect
142. #16837552C22semidirect
143. #16837507C22semidirect
144. #16837504C22semidirect
145. #16837500C22semidirect
146. Q16×Dic59C22semidirect
147. #16837494C22semidirect
148. #16837489C22semidirect
149. #16837487C22semidirect
150. #16837478C22semidirect
151. #16837477C22semidirect
152. #16837475C22semidirect
154. #16837472C22semidirect
155. C8×C22⋊D59C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837411C22semidirect
162. #16837409C22semidirect
163. #16837408C22semidirect
164. #16837406C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837402C22semidirect
176. #16837402C22semidirect
177. #16837402C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. #16837397C22semidirect
182. C2×#14273651C22semidirect
183. C2×#14273649C22semidirect
184. C2×#14273647C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. #16837354C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#479C22semidirect
194. C59×#470C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#451C22semidirect
198. C59×#451C22semidirect
199. C59×#441C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
912. #3312D59semidirect
994. #491C2×D59semidirect
1004. #485C2×D59semidirect
1008. #483C2×D59semidirect
1020. #479C2×D59semidirect
1028. #470C2×D59semidirect
1036. #467C2×D59semidirect
1046. #462C2×D59semidirect
1059. #451C2×D59semidirect
1060. #451C2×D59semidirect
1066. #441C2×D59semidirect
1087. #419C2×D59semidirect
1108. C2×#103C2×D59semidirect
1114. C59#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D592
D4×#117456892
#214363682
#214363602
#214363182
#214363102
#214362272
#214362192
#214361992
#214361912
#214361472
#214361192
#214361112
#214359872
#214359792
#214359372
#214359292
#214344982
#214340282
#214340202
#214339152
#214337252
#214337232
#214335692
#214333552
#214329122
#214328292
#214326142
C2×#168374022
C59×#33122
#6116359