Finite Group Databasebeta

← #29475970

Subgroups — #29475970

Order 15104.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438483C211yesmaximal, characteristic, complemented
2#21437890C211yesmaximal, characteristic, complemented
3#21436360C211yesmaximal, characteristic, complemented
4#21436305C211yesmaximal, characteristic, complemented
5#21436283C211yesmaximal, characteristic, complemented
6#21436248C211yesmaximal, characteristic, complemented
7#21436211C211yesmaximal, characteristic, complemented
8#21436170C211yesmaximal, characteristic, complemented
9#21435987C211yesmaximal, characteristic, complemented
10#21435932C211yesmaximal, characteristic, complemented
11#21435837C211yesmaximal, characteristic, complemented
12#21435801C211yesmaximal, characteristic, complemented
13#21435753C211yesmaximal, characteristic, complemented
14#21435721C211yesmaximal, characteristic, complemented
15#21435666C211yesmaximal, characteristic, complemented
16#21435654C211yesmaximal, characteristic, complemented
17#21435625C211yesmaximal, characteristic, complemented
18#21435600C211yesmaximal, characteristic, complemented
19#21435098C211yesmaximal, characteristic, complemented
20#21435066C211yesmaximal, characteristic, complemented
21#21434989C211yesmaximal, characteristic, complemented
22#21434982C211yesmaximal, characteristic, complemented
23#21434963C211yesmaximal, characteristic, complemented
24#21434950C211yesmaximal, characteristic, complemented
25#21434206C211yesmaximal, characteristic, complemented
26#21434160C211yesmaximal, characteristic, complemented
27#21433411C211yesmaximal, characteristic, complemented
28#21433404C211yesmaximal, characteristic, complemented
29#21433370C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3011C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273759C2211yescharacteristic
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic
36C2×#14273750C2211yescharacteristic
37C2×#14273747C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic
39#16838149—21no—
40#16838146—21no—
41#16838115C2211yescharacteristic, complemented
42#16838114—21no—
43#16838110C2211yescharacteristic, complemented
44#16838097—21no—
45#16838094C2211yescharacteristic, complemented
46#16838091C2211yescharacteristic, complemented
47Q8×C22⋊D59C2211yescharacteristic, complemented
48#16838063C2211yescharacteristic
49#16838063C2211yescharacteristic
50#16838063C2211yescharacteristic
51#16838063C2211yescharacteristic
52#16838063C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838040—21no—
56#16838040—21no—
57#16838040—21no—
58#16838040—21no—
59#16838040C2211yescharacteristic
60#16838040C2211yescharacteristic
61#16838040C2211yescharacteristic
62#16838040C2211yescharacteristic
63#16838029—21no—
64#16838026—21no—
65#16838020—21no—
66#16838004—21no—
67#16837982C2211yescharacteristic
68#16837980C2211yescharacteristic, complemented
69#16837976—21no—
70#16837976C2211yescharacteristic
71#16837975C2211yescharacteristic
72#16837966—21no—
73#16837966C2211yescharacteristic
74#16837954C2211yescharacteristic, complemented
75#16837948—21no—
76#16837948C2211yescharacteristic
77#16837938C2211yescharacteristic, complemented
78C2×#14273716—21no—
79C2×#14273716C2211yescharacteristic
80#41×Dic59C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837787C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837731C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837716C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837640C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837638C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837633C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837626C2211yescharacteristic, complemented
126#16837626C2211yescharacteristic, complemented
127#16837626C2211yescharacteristic, complemented
128#16837620C2211yescharacteristic, complemented
129#16837620C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837605C2211yescharacteristic, complemented
133#16837567C2211yescharacteristic
134#16837564C2211yescharacteristic
135#16837564C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic
137#16837563C2211yescharacteristic
138#16837563C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837558C2211yescharacteristic, complemented
141#16837558C2211yescharacteristic, complemented
142#16837556C2211yescharacteristic, complemented
143#16837556C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic
145#16837554C2211yescharacteristic
146#16837552C2211yescharacteristic
147#16837552C2211yescharacteristic
148#16837551C2211yescharacteristic
149#16837551C2211yescharacteristic
150#16837550C2211yescharacteristic
151#16837549C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837547C2211yescharacteristic
154#16837547C2211yescharacteristic, complemented
155#16837541C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic, complemented
157#16837541C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837538C2211yescharacteristic
160#16837537C2211yescharacteristic
161#16837511C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165Q16×Dic59C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837403C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic
182#16837397C2211yescharacteristic
183C2×#14273651C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic
187#16837367C2211yescharacteristic
188C2×2−1+4×C59C2211yescharacteristic
189C2×#137×C59C2211yescharacteristic, complemented
190C22×Q16×C59C2211yescharacteristic, complemented
191C59×#536C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic
193C59×#452C2211yescharacteristic
194C59×#452C2211yescharacteristic, complemented
195C59×#452C2211yescharacteristic, complemented
196C59×#451C2211yescharacteristic, complemented
197C59×#451C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#419C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C2×D4×D59—21no—
215C2×D4×D59—21no—
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273759—42no—
219#14273758—42no—
220#14273754—42no—
221#14273750—42no—
222#14273747—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745672C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236SD16×D59—42no—
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273726—21no—
247#14273726C2311yescharacteristic
248#14273725—21no—
249#14273725—21no—
250#14273725D411yescharacteristic
251#14273725C2311yescharacteristic
252#14273723—21no—
253#14273723D411yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273720—21no—
257#14273719—21no—
258#14273718—21no—
259#14273718C2311yescharacteristic
260#14273717—21no—
261#14273717—21no—
262#14273716—21no—
263#14273716—21no—
264#14273716—21no—
265#14273716—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716—21no—
271#14273716D411yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273716C2311yescharacteristic
277#14273715—21no—
278#14273714D411yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273710—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703—21no—
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699D411yescharacteristic
342#14273699D411yescharacteristic
343#14273699D411yescharacteristic
344#14273699D411yescharacteristic
345#14273698—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352Q8×Dic59C2311yescharacteristic
353Q8×Dic59C2311yescharacteristic
354Q8×Dic59C2311yescharacteristic
355Q8×Dic59C2311yescharacteristic
356#14273692—21no—
357#14273692C2311yescharacteristic
358D4×Dic59—21no—
359D4×Dic59—21no—
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689C2311yescharacteristic
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686—21no—
377#14273686C2311yescharacteristic
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684—21no—
382#14273683—21no—
383#14273683—21no—
384C2×C4⋊Dic59C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×C4×Dic59—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
4432−1+4×C59—42no—
4442−1+4×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59—21no—
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C2×#41×C59C2311yescharacteristic
452C22×Q8×C59—21no—
453C22×Q8×C59C2311yescharacteristic
454C22×Q8×C59C2311yescharacteristic
455C22×Q8×C59C2311yescharacteristic
456C22×Q8×C59C2311yescharacteristic
457#137×C59—42no—
458C2×Q16×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×Q16×C59C2311yescharacteristic
461C2×Q16×C59C2311yescharacteristic
462C2×Q16×C59C2311yescharacteristic
463C2×Q16×C59C2311yescharacteristic
464C2×Q16×C59C2311yescharacteristic
465C2×SD16×C59C2311yescharacteristic
466C2×SD16×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C4⋊Q8×C59—21no—
470#124×C59—21no—
471#123×C59—21no—
472#123×C59—21no—
473C22⋊Q8×C59C2311yescharacteristic
474C22⋊Q8×C59C2311yescharacteristic
475C22⋊Q8×C59C2311yescharacteristic
476C22⋊Q8×C59C2311yescharacteristic
477#117×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493#41×C59—22no—
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—44no—
502#41×C59—44no—
503#41×C59—44no—
504C2×Q8×C59—21no—
505C2×Q8×C59—21no—
506C2×Q8×C59—21no—
507C2×Q8×C59—21no—
508C2×Q8×C59—22no—
509C2×Q8×C59—22no—
510C2×Q8×C59—41no—
511C2×Q8×C59—41no—
512C2×Q8×C59—41no—
513C2×Q8×C59—41no—
514C2×Q8×C59—44no—
515C2×Q8×C59—41no—
516C2×Q8×C59—41no—
517C2×Q8×C59C2×D411yescharacteristic
518C2×Q8×C59C2411yescharacteristic
519C2×Q8×C59C2411yescharacteristic
520C2×Q8×C59C2411yescharacteristic
521C2×Q8×C59C2411yescharacteristic
522C2×Q8×C59C2411yescharacteristic
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59C2×D411yescharacteristic
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C2×C22⋊D59C2×D411yescharacteristic
554C2×C22⋊D59C2×D411yescharacteristic
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59C2×D411yescharacteristic
559C22×Dic59C2×D411yescharacteristic
560#11745689—22no—
561#11745689—22no—
562#11745689—41no—
563#11745689—41no—
564#11745689—41no—
565#11745689—41no—
566Q8×D59—41no—
567Q8×D59—41no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—44no—
573D4×D59—44no—
574#11745685—41no—
575#11745685—41no—
576#11745685—41no—
577#11745685—41no—
578#11745685—44no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—41no—
585C2×D236—41no—
586C2×D236—44no—
587C2×D236C2×D411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×D236C2411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118C2×D411yescharacteristic
603C2×Dic118C2411yescharacteristic
604Q16×C59—22no—
605Q16×C59—22no—
606Q16×C59—41no—
607Q16×C59—41no—
608Q16×C59—41no—
609Q16×C59—41no—
610SD16×C59—22no—
611SD16×C59—22no—
612M16×C59—41no—
613C2×C8×C59—41no—
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C42×C59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59C2×D411yescharacteristic
636C22⋊Dic59C2×D411yescharacteristic
637C22⋊Dic59C2×D411yescharacteristic
638C22⋊Dic59C2×D411yescharacteristic
639#11745672—22no—
640#11745672—41no—
641#11745672—41no—
642#11745671—22no—
643#11745671—41no—
644#11745671—41no—
645#11745671—41no—
646#11745671—41no—
647#11745671—41no—
648#11745671—41no—
649#11745670—22no—
650#11745669—22no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59C2411yescharacteristic
689C4⋊Dic59C2411yescharacteristic
690C4⋊Dic59C2411yescharacteristic
691C4⋊Dic59C2411yescharacteristic
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4C2×D411yescharacteristic
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2×D411yescharacteristic
719C4×Dic59C2411yescharacteristic
720C4×Dic59C2411yescharacteristic
721#11745664—41no—
722C2×C59⋊C8—41no—
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727D472—41no—
728D472—41no—
729#11745660—41no—
730#11745660—41no—
731#11745659—41no—
732#11745659—41no—
733C8×D59—41no—
734C8×D59—41no—
735C23×C59—21no—
736C23×C59C22×D411yescharacteristic
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C22×D59—21no—
740C22×D59—21no—
741C22×D59—21no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59C22×D411yescharacteristic
752C22×D59C22×D411yescharacteristic
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—41no—
763Q8×C59—42no—
764Q8×C59—42no—
765Q8×C59—42no—
766Q8×C59—81no—
767Q8×C59H(5,𝔽2)12yes—
768D4×C59—24no—
769D4×C59—21no—
770D4×C59—41no—
771D4×C59—41no—
772D4×C59—41no—
773D4×C59—42no—
774D4×C59—42no—
775D4×C59H(5,𝔽2)12yes—
776C2×C4×C59—24no—
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—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—42no—
791C2×C4×C59—42no—
792C2×C4×C59—42no—
793C2×C4×C59—42no—
794C2×C4×C59—42no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—41no—
822C2×Dic59—81no—
823C2×Dic59—81no—
824C2×Dic59—81no—
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—41no—
838D236—42no—
839D236—42no—
840D236—42no—
841D236—81no—
842D236—81no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854Dic118—21no—
855Dic118—21no—
856Dic118—41no—
857Dic118—81no—
858Dic118—81no—
859C8×C59—21no—
860C8×C59—21no—
861C8×C59—21no—
862C8×C59—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867#61691—591nomaximal, Sylow
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—22no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59C23×D411yescharacteristic
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—162no—
897C2×D59—162no—
898C2×D59—162no—
899C4×C59—21no—
900C4×C59—22no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59C2×H(5,𝔽2)11yescharacteristic
910C4×C59C2×H(5,𝔽2)11yescharacteristic
911Dic59—21no—
912Dic59—21no—
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3547—591no—
923#3500—591no—
924#3327—591no—
925#3323—591no—
926#3321—591no—
927#3319—591no—
928#3316—591no—
929#3314—591no—
930#3300—591no—
931#3296—591no—
932#3285—591no—
933#3282—591no—
934#3277—591no—
935#3275—591no—
936#3270—591no—
937#3269—591no—
938#3267—591no—
939#3266—591no—
940#3215—591no—
941#3211—591no—
942#3202—591no—
943#3201—591no—
944#3200—591no—
945#3198—591no—
946#3111—591no—
947#3107—591no—
948#3013—591no—
949#3012—591no—
950#3011D5911yescharacteristic, complemented
951#3009—591no—
952#2981—591no—
953C2×C59—41no—
954C2×C59—42no—
955C2×C59—41no—
956C2×C59—41no—
957C2×C59#348411yescharacteristic
958C2×C59#358411yescharacteristic
959C2×C59#358611yescharacteristic
960D59—41no—
961D59—41no—
962D59—81no—
963D59—81no—
964D59—81no—
965C2×2−1+4C2×D5911yescharacteristic
966C2×H(5,𝔽2)—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137C2×D5911yescharacteristic, complemented
970C2×AGL(1,ℤ/8)—591no—
971C2×#135—591no—
972C2×#135—591no—
973C22×Q16C2×D5911yescharacteristic, complemented
974C22×SD16—591no—
975#562—1181no—
976#562—1181no—
977#555—591no—
978#555—1181no—
979#554—591no—
980#553—1181no—
981#552—591no—
982#552—591no—
983D4×Q8—591no—
984#548—591no—
985#548—591no—
986#548—591no—
987#548—591no—
988#548—591no—
989#548—591no—
990#547—591no—
991#546—591no—
992#546—591no—
993#546—591no—
994#546—591no—
995#546—1181no—
996#546—1181no—
997#546—1181no—
998#546—1181no—
999#544—1181no—
1000#542—1181no—
1001#542—1181no—
1002#540—1181no—
1003#537—591no—
1004#537—591no—
1005#536—591no—
1006#536—591no—
1007#536—1181no—
1008#536C2×D5911yescharacteristic, complemented
1009#535—591no—
1010#535—1181no—
1011#533—591no—
1012#532—591no—
1013#532—1181no—
1014#529—591no—
1015C2×#124—591no—
1016C2×#124—1181no—
1017C4×#41—591no—
1018#497—591no—
1019#497—591no—
1020#495—591no—
1021#495—591no—
1022#489—591no—
1023#489—591no—
1024#488—591no—
1025#488—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#485—591no—
1030#485—591no—
1031#484—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#481—591no—
1037#480—591no—
1038#479—591no—
1039#478—591no—
1040#475—591no—
1041#474—591no—
1042#470—591no—
1043#470—591no—
1044#470—591no—
1045#469—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#466—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#462—591no—
1069#461—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452C2×D5911yescharacteristic
1078#452C2×D5911yescharacteristic
1079#452C2×D5911yescharacteristic, complemented
1080#452C2×D5911yescharacteristic, complemented
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451C2×D5911yescharacteristic, complemented
1086#451C2×D5911yescharacteristic, complemented
1087#451C2×D5911yescharacteristic, complemented
1088#451C2×D5911yescharacteristic, complemented
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#450—591no—
1095#449—591no—
1096#449—591no—
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#447—591no—
1106#442—591no—
1107#441—591no—
1108#440—591no—
1109#440—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×SD16—591no—
1113C4×SD16—591no—
1114#436—591no—
1115#436—591no—
1116#435—591no—
1117#435—591no—
1118#435—591no—
1119#435—591no—
1120C8×D4—591no—
1121C8×D4—591no—
1122#432—591no—
1123#431—591no—
1124#419C2×D5911yescharacteristic, complemented
1125#418—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416C2×D5911yescharacteristic, complemented
1130C2×#103—591no—
1131C2×#102—591no—
1132#408—591no—
1133#408—591no—
1134#408—591no—
1135#408C2×D5911yescharacteristic, complemented
1136C59#6169111yescharacteristic, complemented, Sylow
11372−1+4—42no—
11382−1+4—42no—
1139H(5,𝔽2)—2362no—
1140H(5,𝔽2)—2362no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—1181no—
1150C2×#41C22×D5911yescharacteristic
1151C2×#41C22×D5911yescharacteristic
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—21no—
1155C22×Q8—591no—
1156C22×Q8C22×D5911yescharacteristic
1157C22×Q8C22×D5911yescharacteristic
1158C22×Q8C22×D5911yescharacteristic
1159C22×Q8C22×D5911yescharacteristic
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166#137—42no—
1167#137—2362no—
1168#137—2362no—
1169AGL(1,ℤ/8)—2362no—
1170#135—2362no—
1171#135—2362no—
1172C2×Q16—42no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16C22×D5911yescharacteristic
1177C2×Q16C22×D5911yescharacteristic
1178C2×Q16C22×D5911yescharacteristic
1179C2×Q16C22×D5911yescharacteristic
1180C2×Q16C22×D5911yescharacteristic
1181C2×Q16C22×D5911yescharacteristic
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—2362no—
1193C2×SD16C22×D5911yescharacteristic
1194C2×SD16C22×D5911yescharacteristic
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16C22×D5911yescharacteristic
1202C22×C8—591no—
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8C22×D5911yescharacteristic
1206C4⋊Q8—21no—
1207C4⋊Q8—591no—
1208C4⋊Q8—591no—
1209C4⋊Q8—591no—
1210C4⋊Q8—1181no—
1211C4⋊Q8—1181no—
1212C4⋊Q8—1181no—
1213#127—591no—
1214#127—1181no—
1215#126—1181no—
1216#126—1181no—
1217#126—1181no—
1218#125—591no—
1219#125—1181no—
1220#125—1181no—
1221#125—1181no—
1222#125—1181no—
1223#124—21no—
1224#124—591no—
1225#124—591no—
1226#124—591no—
1227#124—591no—
1228#124—591no—
1229#124—591no—
1230#124—591no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124—1181no—
1243#124—1181no—
1244#123—21no—
1245#123—21no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8C22×D5911yescharacteristic
1282C22⋊Q8C22×D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×Q8—591no—
1325C4×Q8—1181no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344#117—591no—
1345#117—591no—
1346#117—1181no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117C22×D5911yescharacteristic
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C42—591no—
1363C2×C42—1181no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375C4⋊C8—591no—
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#103—591no—
1386#103—591no—
1387#103—591no—
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#103C22×D5911yescharacteristic
1392#103C22×D5911yescharacteristic
1393#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1407#102C22×D5911yescharacteristic
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8C22×D5911yescharacteristic
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419C22⋊C8C22×D5911yescharacteristic
1420#97—591no—
1421#97—591no—
1422C4×C8—591no—
1423C4×C8—591no—
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—44no—
1436#41—44no—
1437#41—44no—
1438#41—1182no—
1439#41—1182no—
1440#41—2361no—
1441#41—2361no—
1442#41—2361no—
1443#41—2361no—
1444#41—2364no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2361no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—22no—
1454C2×Q8—22no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—44no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—591no—
1463C2×Q8—591no—
1464C2×Q8—1181no—
1465C2×Q8—1181no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8D4×D5911yescharacteristic
1469C2×Q8C23×D5911yescharacteristic
1470C2×Q8C23×D5911yescharacteristic
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1182no—
1494C2×D4—1182no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—2361no—
1504C2×D4—2361no—
1505C2×D4—2364no—
1506C2×D4—2361no—
1507C2×D4—2361no—
1508C2×D4—2364no—
1509C2×D4—2364no—
1510C2×D4D4×D5911yescharacteristic
1511C2×D4D4×D5911yescharacteristic
1512C2×D4D4×D5911yescharacteristic
1513C2×D4C23×D5911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—591no—
1522C22×C4—591no—
1523C22×C4—591no—
1524C22×C4—591no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—1182no—
1545Q16—2361no—
1546Q16—2361no—
1547SD16—22no—
1548SD16—22no—
1549SD16—1182no—
1550SD16—1182no—
1551SD16—2361no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—1182no—
1560D8—2361no—
1561D8—2361no—
1562M16—41no—
1563M16—2361no—
1564M16—2361no—
1565M16—2361no—
1566C2×C8—41no—
1567C2×C8—591no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—2361no—
1572C2×C8—2361no—
1573C2×C8—2361no—
1574C2×C8C23×D5911yescharacteristic
1575C2×C8C23×D5911yescharacteristic
1576C2×C8C23×D5911yescharacteristic
1577C2×C8C23×D5911yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
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⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
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⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C42—21no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C23—21no—
1670C23—591no—
1671C23—591no—
1672C23—1181no—
1673C23—1181no—
1674C23—1181no—
1675C23—4721no—
1676C23—4721no—
1677C23—4721no—
1678C23—4721no—
1679C23—4721no—
1680C23—4721no—
1681C23—2362no—
1682C23—2362no—
1683C23—2362no—
1684C23C2×D4×D5911yescharacteristic
1685C23C2×D4×D5911yescharacteristic
1686C23C2×D4×D5911yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—41no—
1697Q8—42no—
1698Q8—42no—
1699Q8—42no—
1700Q8—81no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—4721no—
1704Q8—4721no—
1705Q8—2361no—
1706Q8#1427377212yes—
1707D4—24no—
1708D4—21no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—1181no—
1715D4—1181no—
1716D4—1181no—
1717D4—1181no—
1718D4—1181no—
1719D4—1181no—
1720D4—4721no—
1721D4—4721no—
1722D4—4721no—
1723D4—4721no—
1724D4—4721no—
1725D4—4721no—
1726D4—4721no—
1727D4—4721no—
1728D4—4721no—
1729D4—2361no—
1730D4—2362no—
1731D4—2362no—
1732D4—2362no—
1733D4—2361no—
1734D4—2361no—
1735D4—2361no—
1736D4—2361no—
1737D4—2361no—
1738D4—2361no—
1739D4—2362no—
1740D4—2362no—
1741D4#1427377212yes—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—591no—
1763C2×C4—591no—
1764C2×C4—591no—
1765C2×C4—591no—
1766C2×C4—591no—
1767C2×C4—591no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—4721no—
1781C2×C4—4721no—
1782C2×C4—4721no—
1783C2×C4—4721no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4—2361no—
1788C2×C4—2361no—
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C2×D4×D5911yescharacteristic
1792C2×C4C24×D5911yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—1181no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—9442no—
1820C22—9442no—
1821C22—9442no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22C22×D4×D5911yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—1181no—
1843C4—1181no—
1844C4—1181no—
1845C4—1181no—
1846C4—1181no—
1847C4—1181no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4C2×#1427377211yescharacteristic
1854C4C2×#1427377211yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—42no—
1859C2—4721no—
1860C2—4721no—
1861C2—4721no—
1862C2—2361no—
1863C2—2361no—
1864C2#2143772511yescharacteristic
1865C2#2143886611yescharacteristic
1866C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3011C2
socleC22×C59C23×D4
hypercenter#3011D59
hypocenterC59#61691
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3011

Complements

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

NH ≅ G/Ntype
1. #21438483C2semidirect
2. #21437890C2semidirect
3. #21436360C2semidirect
4. #21436305C2semidirect
5. #21436283C2semidirect
6. #21436248C2semidirect
7. #21436211C2semidirect
8. #21436170C2semidirect
9. #21435987C2semidirect
10. #21435932C2semidirect
11. #21435837C2semidirect
12. #21435801C2semidirect
13. #21435753C2semidirect
14. #21435721C2semidirect
15. #21435666C2semidirect
16. #21435654C2semidirect
17. #21435625C2semidirect
18. #21435600C2semidirect
19. #21435098C2semidirect
20. #21435066C2semidirect
21. #21434989C2semidirect
22. #21434982C2semidirect
23. #21434963C2semidirect
24. #21434950C2semidirect
25. #21434206C2semidirect
26. #21434160C2semidirect
27. #21433411C2semidirect
28. #21433404C2semidirect
29. #21433370C2semidirect
30. #21433169C2semidirect
31. C59×#3011C2semidirect
34. C2×#14273758C22semidirect
37. C2×#14273747C22semidirect
41. #16838115C22semidirect
43. #16838110C22semidirect
45. #16838094C22semidirect
46. #16838091C22semidirect
47. Q8×C22⋊D59C22semidirect
52. #16838063C22semidirect
53. #16838062C22semidirect
54. #16838054C22semidirect
68. #16837980C22semidirect
74. #16837954C22semidirect
77. #16837938C22semidirect
81. #16837795C22semidirect
82. #16837795C22semidirect
83. #16837787C22semidirect
84. #16837787C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837758C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837741C22semidirect
92. #16837740C22semidirect
93. #16837740C22semidirect
94. #16837736C22semidirect
95. #16837731C22semidirect
96. #16837727C22semidirect
97. #16837726C22semidirect
98. #16837726C22semidirect
99. #16837721C22semidirect
100. #16837716C22semidirect
101. #16837711C22semidirect
102. #16837704C22semidirect
103. #16837685C22semidirect
104. #16837680C22semidirect
105. #16837659C22semidirect
106. #16837657C22semidirect
107. #16837657C22semidirect
108. #16837655C22semidirect
109. #16837651C22semidirect
110. #16837650C22semidirect
111. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837642C22semidirect
114. #16837640C22semidirect
115. #16837640C22semidirect
116. #16837638C22semidirect
117. #16837634C22semidirect
118. #16837633C22semidirect
119. #16837633C22semidirect
120. #16837631C22semidirect
121. #16837627C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837626C22semidirect
125. #16837626C22semidirect
126. #16837626C22semidirect
127. #16837626C22semidirect
128. #16837620C22semidirect
129. #16837620C22semidirect
130. #16837619C22semidirect
131. #16837610C22semidirect
132. #16837605C22semidirect
135. #16837564C22semidirect
138. #16837563C22semidirect
139. #16837563C22semidirect
140. #16837558C22semidirect
141. #16837558C22semidirect
142. #16837556C22semidirect
143. #16837556C22semidirect
151. #16837549C22semidirect
152. #16837549C22semidirect
154. #16837547C22semidirect
155. #16837541C22semidirect
156. #16837541C22semidirect
157. #16837541C22semidirect
158. #16837541C22semidirect
161. #16837511C22semidirect
162. #16837509C22semidirect
163. #16837505C22semidirect
164. #16837503C22semidirect
165. Q16×Dic59C22semidirect
166. #16837494C22semidirect
167. #16837493C22semidirect
168. SD16×Dic59C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
180. #16837403C22semidirect
183. C2×#14273651C22semidirect
185. #16837369C22semidirect
189. C2×#137×C59C22semidirect
190. C22×Q16×C59C22semidirect
191. C59×#536C22semidirect
194. C59×#452C22semidirect
195. C59×#452C22semidirect
196. C59×#451C22semidirect
197. C59×#451C22semidirect
198. C59×#451C22semidirect
199. C59×#451C22semidirect
200. C59×#419C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
950. #3011D59semidirect
969. C2×#137C2×D59semidirect
973. C22×Q16C2×D59semidirect
1008. #536C2×D59semidirect
1079. #452C2×D59semidirect
1080. #452C2×D59semidirect
1085. #451C2×D59semidirect
1086. #451C2×D59semidirect
1087. #451C2×D59semidirect
1088. #451C2×D59semidirect
1124. #419C2×D59semidirect
1129. #416C2×D59semidirect
1135. #408C2×D59semidirect
1136. C59#61691semidirect

Maximal subgroups

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

subgroupindex
#214384832
#214378902
#214363602
#214363052
#214362832
#214362482
#214362112
#214361702
#214359872
#214359322
#214358372
#214358012
#214357532
#214357212
#214356662
#214356542
#214356252
#214356002
#214350982
#214350662
#214349892
#214349822
#214349632
#214349502
#214342062
#214341602
#214334112
#214334042
#214333702
#214331692
C59×#30112
#6169159