Finite Group Databasebeta

← #29474510

Subgroups — #29474510

Order 15104.

2088 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438314C211yesmaximal, characteristic, complemented
2#21437769C211yesmaximal, characteristic, complemented
3#21436397C211yesmaximal, characteristic, complemented
4#21436394C211yesmaximal, characteristic, complemented
5#21436178C211yesmaximal, characteristic, complemented
6#21436170C211yesmaximal, characteristic, complemented
7#21436091C211yesmaximal, characteristic, complemented
8#21436083C211yesmaximal, characteristic, complemented
9#21435968C211yesmaximal, characteristic, complemented
10#21435965C211yesmaximal, characteristic, complemented
11#21435779C211yesmaximal, characteristic, complemented
12#21435775C211yesmaximal, characteristic, complemented
13#21435753C211yesmaximal, characteristic, complemented
14#21435747C211yesmaximal, characteristic, complemented
15#21435655C211yesmaximal, characteristic, complemented
16#21435651C211yesmaximal, characteristic, complemented
17#21435609C211yesmaximal, characteristic, complemented
18#21435600C211yesmaximal, characteristic, complemented
19#21435211C211yesmaximal, characteristic, complemented
20#21435203C211yesmaximal, characteristic, complemented
21#21434998C211yesmaximal, characteristic, complemented
22#21434993C211yesmaximal, characteristic, complemented
23#21434900C211yesmaximal, characteristic, complemented
24#21434869C211yesmaximal, characteristic, complemented
25#21434359C211yesmaximal, characteristic, complemented
26#21434351C211yesmaximal, characteristic, complemented
27#21433411C211yesmaximal, characteristic, complemented
28#21433353C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433139C211yesmaximal, characteristic, complemented
31C59×#3013C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#14273759C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic
38C2×D8×D59C2211yescharacteristic
39#16838147—21no—
40#16838147—21no—
41#16838110C2211yescharacteristic
42#16838107C2211yescharacteristic
43Q8×C22⋊D59C2211yescharacteristic
44Q8×C22⋊D59C2211yescharacteristic
45#16838063C2211yescharacteristic, complemented
46#16838063C2211yescharacteristic, complemented
47#16838062C2211yescharacteristic, complemented
48#16838059C2211yescharacteristic, complemented
49#16838053C2211yescharacteristic, complemented
50#16838052C2211yescharacteristic, complemented
51#16838051—21no—
52#16838051—21no—
53#16838051C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838049—21no—
56#16838049C2211yescharacteristic
57#16838041—21no—
58#16838040—21no—
59#16838040—21no—
60#16838040C2211yescharacteristic
61#16838040C2211yescharacteristic
62#16838040C2211yescharacteristic
63#16838027—21no—
64#16838025C2211yescharacteristic, complemented
65#16838019C2211yescharacteristic, complemented
66#16837998—21no—
67#16837984—21no—
68#16837981—21no—
69#16837980—21no—
70#16837980C2211yescharacteristic, complemented
71#16837980C2211yescharacteristic, complemented
72#16837976—21no—
73#16837976C2211yescharacteristic, complemented
74#16837909—21no—
75#16837909C2211yescharacteristic
76C2×#14273703—21no—
77C2×#14273703C2211yescharacteristic
78C22⋊Q8×D59C2211yescharacteristic
79#121×D59C2211yescharacteristic
80#16837885C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic
93#16837736C2211yescharacteristic
94#16837736C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic, complemented
96#16837735C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic
115#16837642C2211yescharacteristic
116#16837641C2211yescharacteristic, complemented
117#16837640C2211yescharacteristic
118#16837640C2211yescharacteristic
119#16837638C2211yescharacteristic, complemented
120#16837636C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837610C2211yescharacteristic, complemented
131#16837606C2211yescharacteristic, complemented
132#16837605C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837564C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837559C2211yescharacteristic
140#16837558C2211yescharacteristic, complemented
141#16837558C2211yescharacteristic, complemented
142#16837556C2211yescharacteristic
143#16837556C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic
146#16837551C2211yescharacteristic
147#16837551C2211yescharacteristic
148#16837551C2211yescharacteristic
149#16837550C2211yescharacteristic
150#16837549C2211yescharacteristic
151#16837549C2211yescharacteristic, complemented
152#16837548C2211yescharacteristic
153#16837547C2211yescharacteristic
154#16837547C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837546C2211yescharacteristic
157#16837545C2211yescharacteristic
158#16837544C2211yescharacteristic
159#16837541C2211yescharacteristic, complemented
160#16837541C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165Q16×Dic59C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic
176(C22⋊D59)⋊C8C2211yescharacteristic
177#16837460C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182C2×#14273651C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837369C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C2×2−1+4×C59C2211yescharacteristic, complemented
189C2×#137×C59C2211yescharacteristic, complemented
190C2×#135×C59C2211yescharacteristic, complemented
191C59×#537C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic, complemented
193C59×#452C2211yescharacteristic, complemented
194C59×#451C2211yescharacteristic, complemented
195C59×#451C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C2×#103×C59C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C2×Q8×D59C2311yescharacteristic
214C2×Q8×D59C2311yescharacteristic
215C2×D4×D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59C2311yescharacteristic
218C2×D4×D59C2311yescharacteristic
219C22×C4×D59—21no—
220C22×C4×D59C2311yescharacteristic
221#14273759—42no—
222#14273758—42no—
223#14273756—42no—
224#14273747—42no—
225C2×Dic236C2311yescharacteristic
226C2×#11745672C2311yescharacteristic
227C2×#11745672C2311yescharacteristic
228C2×#11745672C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—42no—
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273725—21no—
252#14273725—21no—
253#14273725C2311yescharacteristic
254#14273725C2311yescharacteristic
255#14273722—21no—
256#14273720—21no—
257#14273717—21no—
258#14273717—21no—
259#14273716—21no—
260#14273716—21no—
261#14273716C2311yescharacteristic
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273714—21no—
265#14273714—21no—
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708D411yescharacteristic
286#14273708D411yescharacteristic
287#14273707—21no—
288#14273707—21no—
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706—21no—
292#14273706—21no—
293#14273706—21no—
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703—21no—
314#14273703—21no—
315#14273703—21no—
316#14273703D411yescharacteristic
317#14273703D411yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273698—21no—
343#14273698—21no—
344#14273698—21no—
345#14273698—21no—
346#14273698D411yescharacteristic
347#14273698D411yescharacteristic
348#14273698C2311yescharacteristic
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695D411yescharacteristic
354#14273695D411yescharacteristic
355Q8×Dic59C2311yescharacteristic
356Q8×Dic59C2311yescharacteristic
357Q8×Dic59C2311yescharacteristic
358#14273692C2311yescharacteristic
359D4×Dic59—21no—
360D4×Dic59—21no—
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364#14273689—21no—
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377#14273686—21no—
378#14273686C2311yescharacteristic
379C2×C4⋊Dic59—21no—
380C2×C4⋊Dic59C2311yescharacteristic
381C2×C4⋊Dic59C2311yescharacteristic
382C2×Dic59⋊C4—21no—
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
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
452C2×#41×C59C2311yescharacteristic
453C22×Q8×C59—21no—
454C22×Q8×C59C2311yescharacteristic
455C22×Q8×C59C2311yescharacteristic
456C22×Q8×C59C2311yescharacteristic
457#137×C59—42no—
458#135×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×Q16×C59C2311yescharacteristic
461C2×Q16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×SD16×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59—21no—
474#121×C59—21no—
475#121×C59C2311yescharacteristic
476#121×C59C2311yescharacteristic
477C2×C4⋊C4×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×D59C2×D411yescharacteristic
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—41no—
503#41×C59—41no—
504#41×C59—44no—
505#41×C59—44no—
506C2×Q8×C59—21no—
507C2×Q8×C59—21no—
508C2×Q8×C59—21no—
509C2×Q8×C59—22no—
510C2×Q8×C59—22no—
511C2×Q8×C59—41no—
512C2×Q8×C59—41no—
513C2×Q8×C59—41no—
514C2×Q8×C59—41no—
515C2×Q8×C59—44no—
516C2×Q8×C59C2×D411yescharacteristic
517C2×Q8×C59C2411yescharacteristic
518C2×Q8×C59C2411yescharacteristic
519C2×Q8×C59C2411yescharacteristic
520C2×Q8×C59C2411yescharacteristic
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—21no—
527C2×D4×C59C2×D411yescharacteristic
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59C2×D411yescharacteristic
554C2×C22⋊D59C2×D411yescharacteristic
555C2×C22⋊D59C2×D411yescharacteristic
556C2×C22⋊D59C2×D411yescharacteristic
557C22×Dic59—21no—
558C22×Dic59—21no—
559C22×Dic59—21no—
560C22×Dic59—21no—
561C22×Dic59—21no—
562C22×Dic59—21no—
563C22×Dic59C2×D411yescharacteristic
564#11745689—22no—
565#11745689—41no—
566Q8×D59—22no—
567Q8×D59—41no—
568Q8×D59—41no—
569Q8×D59—41no—
570#11745687—22no—
571#11745687—41no—
572#11745687—44no—
573#11745687—82no—
574D4×D59—22no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—44no—
579D4×D59—82no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—41no—
584#11745685—44no—
585#11745685—82no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236C2411yescharacteristic
589C2×D236C2411yescharacteristic
590C2×C4×D59—21no—
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×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—44no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×Dic118—21no—
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611Q16×C59—22no—
612Q16×C59—41no—
613Q16×C59—41no—
614SD16×C59—22no—
615SD16×C59—22no—
616SD16×C59—41no—
617SD16×C59—41no—
618D8×C59—22no—
619M16×C59—41no—
620C2×C8×C59—41no—
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649C22⋊Dic59C2×D411yescharacteristic
650#11745672—22no—
651#11745672—41no—
652#11745672—41no—
653#11745672—41no—
654#11745671—22no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745670—22no—
659#11745670—41no—
660#11745669—22no—
661#11745669—41no—
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)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59C2×D411yescharacteristic
691C4⋊Dic59C2×D411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2411yescharacteristic
723C4×Dic59C2411yescharacteristic
724#11745664—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730Dic236—41no—
731D472—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C23×C59C22×D411yescharacteristic
743C22×D59—22no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59C22×D411yescharacteristic
755C22×D59C22×D411yescharacteristic
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—41no—
764Q8×C59—42no—
765Q8×C59—42no—
766Q8×C59—42no—
767Q8×C59H(5,𝔽2)12yes—
768D4×C59—24no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—41no—
773D4×C59—41no—
774D4×C59—41no—
775D4×C59—42no—
776D4×C59—42no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780D4×C59H(5,𝔽2)12yes—
781C2×C4×C59—24no—
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—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—42no—
795C2×C4×C59—42no—
796C2×C4×C59—42no—
797C2×C4×C59—42no—
798C2×C4×C59—42no—
799C2×C4×C59—81no—
800C2×C4×C59—81no—
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C2511yescharacteristic
805C22⋊D59—22no—
806C22⋊D59—22no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—41no—
826C2×Dic59—42no—
827C2×Dic59—81no—
828C2×Dic59—81no—
829C2×Dic59—81no—
830C2×Dic59—81no—
831C2×Dic59—81no—
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—42no—
843D236—42no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—41no—
849C4×D59—41no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858Dic118—21no—
859Dic118—21no—
860Dic118—21no—
861Dic118—21no—
862Dic118—42no—
863Dic118—81no—
864Dic118—81no—
865Dic118—81no—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61619—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—22no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59C23×D411yescharacteristic
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—82no—
903C2×D59—84no—
904C2×D59—162no—
905C2×D59#57812yes—
906C4×C59—22no—
907C4×C59—21no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59C2×H(5,𝔽2)11yescharacteristic
916C4×C59C2×H(5,𝔽2)11yescharacteristic
917Dic59—21no—
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—41no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929#3536—591no—
930#3489—591no—
931#3330—591no—
932#3330—591no—
933#3314—591no—
934#3314—591no—
935#3308—591no—
936#3308—591no—
937#3299—591no—
938#3299—591no—
939#3280—591no—
940#3280—591no—
941#3277—591no—
942#3277—591no—
943#3269—591no—
944#3269—591no—
945#3266—591no—
946#3266—591no—
947#3225—591no—
948#3225—591no—
949#3203—591no—
950#3203—591no—
951#3193—591no—
952#3189—591no—
953#3124—591no—
954#3124—591no—
955#3013—591no—
956#3013D5911yescharacteristic, complemented
957#3007—591no—
958C2×#449—591no—
959#2976—591no—
960C2×C59—41no—
961C2×C59—42no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59—81no—
965C2×C59#348411yescharacteristic
966C2×C59C2×#57811yescharacteristic
967C2×C59#358511yescharacteristic
968D59—22no—
969D59—41no—
970D59—81no—
971D59—81no—
972C2×2−1+4C2×D5911yescharacteristic, complemented
973C22×#41—591no—
974C2×#137—591no—
975C2×#137—591no—
976C2×#137—591no—
977C2×#137C2×D5911yescharacteristic, complemented
978C2×#135—591no—
979C2×#135C2×D5911yescharacteristic, complemented
980C22×SD16—591no—
981C22×D8—591no—
982#562—1181no—
983#562—1181no—
984#554—591no—
985#554—591no—
986D4×Q8—591no—
987D4×Q8—591no—
988#548—591no—
989#548—591no—
990#548—591no—
991#548—591no—
992#547—591no—
993#547—591no—
994#547—591no—
995#547—591no—
996#547—1181no—
997#547—1181no—
998#546—591no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—1181no—
1003#546—1181no—
1004#546—1181no—
1005#546—1181no—
1006#543—1181no—
1007#542—591no—
1008#542—591no—
1009#539—1181no—
1010#538—1181no—
1011#537—591no—
1012#537—591no—
1013#537—1181no—
1014#537—1181no—
1015#537C2×D5911yescharacteristic, complemented
1016#536—591no—
1017#536—1181no—
1018#525—591no—
1019#525—1181no—
1020C2×C22⋊Q8—591no—
1021C2×C22⋊Q8—591no—
1022C2×C22⋊Q8—1181no—
1023C2×#121—591no—
1024#520—591no—
1025#497—591no—
1026#497—591no—
1027#495—591no—
1028#495—591no—
1029#489—591no—
1030#489—591no—
1031#487—591no—
1032#487—591no—
1033#484—591no—
1034#484—591no—
1035#484—591no—
1036#484—591no—
1037#484—591no—
1038#484—591no—
1039#484—591no—
1040#484—591no—
1041#480—591no—
1042#480—591no—
1043#480—591no—
1044#480—591no—
1045#477—591no—
1046#477—591no—
1047#474—591no—
1048#474—591no—
1049#468—591no—
1050#468—591no—
1051#468—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468—591no—
1057#467—591no—
1058#467—591no—
1059#467—591no—
1060#467—591no—
1061#467—591no—
1062#467—591no—
1063#466—591no—
1064#466—591no—
1065#464—591no—
1066#464—591no—
1067#464—591no—
1068#464—591no—
1069#463—591no—
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#462—591no—
1074#462—591no—
1075#461—591no—
1076#461—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452C2×D5911yescharacteristic, complemented
1084#452C2×D5911yescharacteristic, complemented
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#451—591no—
1090#451—591no—
1091#451C2×D5911yescharacteristic, complemented
1092#451C2×D5911yescharacteristic, complemented
1093#450—591no—
1094#450—591no—
1095#450—591no—
1096#450—591no—
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449C2×D5911yescharacteristic
1108#449C2×D5911yescharacteristic, complemented
1109#448—591no—
1110#448—591no—
1111#448C2×D5911yescharacteristic, complemented
1112#448C2×D5911yescharacteristic, complemented
1113#440—591no—
1114#440—591no—
1115#440—591no—
1116#440—591no—
1117C4×Q16—591no—
1118C4×Q16—591no—
1119C4×D8—591no—
1120C4×D8—591no—
1121#436—591no—
1122#436—591no—
1123#435—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127C8×D4—591no—
1128C8×D4—591no—
1129#433—591no—
1130#433—591no—
1131#417—591no—
1132#417—591no—
1133#417—591no—
1134#417C2×D5911yescharacteristic, complemented
1135C2×#103—591no—
1136C2×#103—591no—
1137C2×#103C2×D5911yescharacteristic, complemented
1138C2×#102—591no—
1139#408—591no—
1140#408C2×D5911yescharacteristic, complemented
1141#407—591no—
1142C2×C22⋊C8—591no—
1143C59#6161911yescharacteristic, complemented, Sylow
11442−1+4—42no—
11452−1+4—42no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—1181no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—2362no—
1158C2×#41—2362no—
1159C2×#41C22×D5911yescharacteristic
1160C2×#41C22×D5911yescharacteristic
1161C2×#41C22×D5911yescharacteristic
1162C2×#41C22×D5911yescharacteristic
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—21no—
1165C22×Q8—591no—
1166C22×Q8—591no—
1167C22×Q8C22×D5911yescharacteristic
1168C22×Q8C22×D5911yescharacteristic
1169C22×Q8C22×D5911yescharacteristic
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C23×C4—591no—
1175C23×C4—1181no—
1176#137—42no—
1177#137—2362no—
1178#137—2362no—
1179#137—2362no—
1180#135—42no—
1181#135—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16C22×D5911yescharacteristic
1188C2×Q16C22×D5911yescharacteristic
1189C2×Q16C22×D5911yescharacteristic
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—2362no—
1199C2×SD16C22×D5911yescharacteristic
1200C2×SD16C22×D5911yescharacteristic
1201C2×SD16C22×D5911yescharacteristic
1202C2×SD16C22×D5911yescharacteristic
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8—2362no—
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16C22×D5911yescharacteristic
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8—591no—
1215C22×C8C22×D5911yescharacteristic
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8—591no—
1219C4⋊Q8—591no—
1220C4⋊Q8—1181no—
1221C4⋊Q8—1181no—
1222#126—1181no—
1223#126—1181no—
1224#125—1181no—
1225#125—1181no—
1226#124—591no—
1227#124—591no—
1228#124—591no—
1229#124—591no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#123—591no—
1237#123—591no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254C22⋊Q8—21no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
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—1181no—
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⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
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#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—591no—
1325#120—591no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—591no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352#117—591no—
1353#117—1181no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—1181no—
1359C2×C4⋊C4—1181no—
1360C2×C4⋊C4—1181no—
1361C2×C4⋊C4—1181no—
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4C22×D5911yescharacteristic
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371#107—591no—
1372#107—591no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#107—591no—
1378#107—591no—
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#103C22×D5911yescharacteristic
1402#103C22×D5911yescharacteristic
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8C22×D5911yescharacteristic
1424C22⋊C8C22×D5911yescharacteristic
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427#97—591no—
1428#97—591no—
1429C4×C8—591no—
1430C4×C8—591no—
1431C24—591no—
1432C24—1181no—
1433C24—1181no—
1434#41—22no—
1435#41—22no—
1436#41—22no—
1437#41—22no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—44no—
1446#41—44no—
1447#41—1182no—
1448#41—1182no—
1449#41—4722no—
1450#41—4722no—
1451#41—2361no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2364no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—21no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8—44no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—1181no—
1472C2×Q8—1181no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8D4×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×Q8C23×D5911yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1182no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—4722no—
1510C2×D4—2361no—
1511C2×D4—2361no—
1512C2×D4—2361no—
1513C2×D4—2364no—
1514C2×D4D4×D5911yescharacteristic
1515C2×D4D4×D5911yescharacteristic
1516C2×D4D4×D5911yescharacteristic
1517C2×D4C23×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—2361no—
1547C22×C4—2361no—
1548C22×C4—2364no—
1549C22×C4C23×D5911yescharacteristic
1550C22×C4C23×D5911yescharacteristic
1551C22×C4C23×D5911yescharacteristic
1552Q16—22no—
1553Q16—41no—
1554Q16—41no—
1555Q16—1182no—
1556Q16—2361no—
1557Q16—2361no—
1558Q16—2361no—
1559Q16—2361no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—1182no—
1565SD16—1182no—
1566SD16—2361no—
1567SD16—2361no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572D8—22no—
1573D8—1182no—
1574D8—2361no—
1575D8—2361no—
1576M16—41no—
1577M16—2361no—
1578M16—2361no—
1579M16—2361no—
1580C2×C8—41no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—2361no—
1586C2×C8—2361no—
1587C2×C8—2361no—
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C2×C8C23×D5911yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—591no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4C23×D5911yescharacteristic
1630C4⋊C4C23×D5911yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
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—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C42—591no—
1674C42—591no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42—1181no—
1679C23—21no—
1680C23—21no—
1681C23—591no—
1682C23—591no—
1683C23—1182no—
1684C23—1181no—
1685C23—1181no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—2361no—
1690C23—2361no—
1691C23—2362no—
1692C23—2362no—
1693C23—2362no—
1694C23C2×D4×D5911yescharacteristic
1695C23C2×D4×D5911yescharacteristic
1696C23C2×D4×D5911yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—41no—
1705Q8—42no—
1706Q8—42no—
1707Q8—42no—
1708Q8—1181no—
1709Q8—1181no—
1710Q8—1181no—
1711Q8—1181no—
1712Q8—4721no—
1713Q8—4721no—
1714Q8—4721no—
1715Q8—2362no—
1716Q8#1427377212yes—
1717D4—24no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—42no—
1725D4—42no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—1182no—
1730D4—1182no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—1181no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—2362no—
1742D4—2362no—
1743D4—2361no—
1744D4—2361no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4#1427377212yes—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—591no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—2361no—
1796C2×C4—2361no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2361no—
1802C2×C4—2362no—
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C24×D5911yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—592no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—9442no—
1837C22—4724no—
1838C22—4722no—
1839C22—2361no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22C22×D4×D5911yescharacteristic
1846C4—21no—
1847C4—22no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—1181no—
1856C4—1181no—
1857C4—1181no—
1858C4—1181no—
1859C4—1181no—
1860C4—1181no—
1861C4—2361no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4—2361no—
1867C4C2×#1427377211yescharacteristic
1868C4C2×#1427377211yescharacteristic
1869C2—41no—
1870C2—41no—
1871C2—41no—
1872C2—42no—
1873C2—81no—
1874C2—1182no—
1875C2—4721no—
1876C2—4721no—
1877C2—2361no—
1878C2#2143772511yescharacteristic
1879C2#578×D5911yescharacteristic
1880C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3013C2
socleC22×C59C23×D4
hypercenter#3013D59
hypocenterC59#61619
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #21438314C2semidirect
2. #21437769C2semidirect
3. #21436397C2semidirect
4. #21436394C2semidirect
5. #21436178C2semidirect
6. #21436170C2semidirect
7. #21436091C2semidirect
8. #21436083C2semidirect
9. #21435968C2semidirect
10. #21435965C2semidirect
11. #21435779C2semidirect
12. #21435775C2semidirect
13. #21435753C2semidirect
14. #21435747C2semidirect
15. #21435655C2semidirect
16. #21435651C2semidirect
17. #21435609C2semidirect
18. #21435600C2semidirect
19. #21435211C2semidirect
20. #21435203C2semidirect
21. #21434998C2semidirect
22. #21434993C2semidirect
23. #21434900C2semidirect
24. #21434869C2semidirect
25. #21434359C2semidirect
26. #21434351C2semidirect
27. #21433411C2semidirect
28. #21433353C2semidirect
29. #449×D59C2semidirect
30. #21433139C2semidirect
31. C59×#3013C2semidirect
33. C2×#14273759C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273747C22semidirect
45. #16838063C22semidirect
46. #16838063C22semidirect
47. #16838062C22semidirect
48. #16838059C22semidirect
49. #16838053C22semidirect
50. #16838052C22semidirect
53. #16838051C22semidirect
54. #16838051C22semidirect
64. #16838025C22semidirect
65. #16838019C22semidirect
70. #16837980C22semidirect
71. #16837980C22semidirect
73. #16837976C22semidirect
80. #16837885C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
83. #16837787C22semidirect
84. #16837783C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837751C22semidirect
88. #16837751C22semidirect
89. #16837738C22semidirect
90. #16837738C22semidirect
91. #16837737C22semidirect
94. #16837736C22semidirect
95. #16837736C22semidirect
96. #16837735C22semidirect
97. #16837716C22semidirect
98. #16837716C22semidirect
99. #16837715C22semidirect
100. #16837713C22semidirect
101. #16837695C22semidirect
102. #16837695C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837651C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837643C22semidirect
116. #16837641C22semidirect
119. #16837638C22semidirect
120. #16837636C22semidirect
121. #16837627C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
124. #16837622C22semidirect
125. #16837620C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837615C22semidirect
129. #16837611C22semidirect
130. #16837610C22semidirect
131. #16837606C22semidirect
132. #16837605C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
135. #16837564C22semidirect
136. #16837564C22semidirect
137. #16837564C22semidirect
138. #16837562C22semidirect
140. #16837558C22semidirect
141. #16837558C22semidirect
143. #16837556C22semidirect
144. #16837556C22semidirect
151. #16837549C22semidirect
154. #16837547C22semidirect
155. #16837547C22semidirect
159. #16837541C22semidirect
160. #16837541C22semidirect
161. #16837505C22semidirect
162. #16837503C22semidirect
163. #16837503C22semidirect
164. #16837499C22semidirect
165. Q16×Dic59C22semidirect
166. #16837494C22semidirect
167. D8×Dic59C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
172. #16837473C22semidirect
174. #16837470C22semidirect
177. #16837460C22semidirect
178. #16837460C22semidirect
179. #16837403C22semidirect
180. #16837402C22semidirect
181. #16837400C22semidirect
182. C2×#14273651C22semidirect
185. #16837369C22semidirect
188. C2×2−1+4×C59C22semidirect
189. C2×#137×C59C22semidirect
190. C2×#135×C59C22semidirect
191. C59×#537C22semidirect
192. C59×#452C22semidirect
193. C59×#452C22semidirect
194. C59×#451C22semidirect
195. C59×#451C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#448C22semidirect
200. C59×#417C22semidirect
201. C2×#103×C59C22semidirect
202. C59×#408C22semidirect
956. #3013D59semidirect
972. C2×2−1+4C2×D59semidirect
977. C2×#137C2×D59semidirect
979. C2×#135C2×D59semidirect
1015. #537C2×D59semidirect
1083. #452C2×D59semidirect
1084. #452C2×D59semidirect
1091. #451C2×D59semidirect
1092. #451C2×D59semidirect
1108. #449C2×D59semidirect
1111. #448C2×D59semidirect
1112. #448C2×D59semidirect
1134. #417C2×D59semidirect
1137. C2×#103C2×D59semidirect
1140. #408C2×D59semidirect
1143. C59#61619semidirect

Maximal subgroups

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

subgroupindex
#214383142
#214377692
#214363972
#214363942
#214361782
#214361702
#214360912
#214360832
#214359682
#214359652
#214357792
#214357752
#214357532
#214357472
#214356552
#214356512
#214356092
#214356002
#214352112
#214352032
#214349982
#214349932
#214349002
#214348692
#214343592
#214343512
#214334112
#214333532
#449×D592
#214331392
C59×#30132
#6161959