Finite Group Databasebeta

← #29484089

Subgroups — #29484089

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438662C211yesmaximal, characteristic, complemented
2#21438053C211yesmaximal, characteristic, complemented
3#21437169C211yesmaximal, characteristic, complemented
4#21437158C211yesmaximal, characteristic, complemented
5#21436819C211yesmaximal, characteristic, complemented
6#21436817C211yesmaximal, characteristic, complemented
7#21436386C211yesmaximal, characteristic, complemented
8#21436255C211yesmaximal, characteristic, complemented
9#21436246C211yesmaximal, characteristic, complemented
10#21436163C211yesmaximal, characteristic, complemented
11#21436160C211yesmaximal, characteristic, complemented
12#21435708C211yesmaximal, characteristic, complemented
13#21435704C211yesmaximal, characteristic, complemented
14#21435609C211yesmaximal, characteristic, complemented
15#21435607C211yesmaximal, characteristic, complemented
16#21435598C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435559C211yesmaximal, characteristic, complemented
19#21435553C211yesmaximal, characteristic, complemented
20#21435478C211yesmaximal, characteristic, complemented
21#21435208C211yesmaximal, characteristic, complemented
22#21435203C211yesmaximal, characteristic, complemented
23#21435082C211yesmaximal, characteristic, complemented
24#21434286C211yesmaximal, characteristic, complemented
25#21434283C211yesmaximal, characteristic, complemented
26#21434253C211yesmaximal, characteristic, complemented
27#21433607C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#21433593C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3329C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273755C2211yescharacteristic
35C2×#14273754C2211yescharacteristic
36C22×#11745671C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838151—21no—
39#16838148—21no—
40#16838135C2211yescharacteristic, complemented
41#16838126C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838120C2211yescharacteristic, complemented
44#16838115C2211yescharacteristic
45#16838082—21no—
46#16838081—21no—
47#16838079—21no—
48#16838076—21no—
49#16838067C2211yescharacteristic, complemented
50Q8×C22⋊D59C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic
52#16838062C2211yescharacteristic
53#16838060—21no—
54#16838049C2211yescharacteristic
55#16838048C2211yescharacteristic
56#16838048C2211yescharacteristic, complemented
57#16838043C2211yescharacteristic, complemented
58#16838041—21no—
59#16838036C2211yescharacteristic, complemented
60#16838027—21no—
61#16838026—21no—
62#16838026C2211yescharacteristic, complemented
63#16838025C2211yescharacteristic, complemented
64#16838024C2211yescharacteristic, complemented
65#16838022—21no—
66#16838019C2211yescharacteristic, complemented
67#16837986—21no—
68#16837985—21no—
69#16837984—21no—
70#16837977C2211yescharacteristic, complemented
71#16837976C2211yescharacteristic, complemented
72#16837954C2211yescharacteristic, complemented
73#16837947C2211yescharacteristic
74#16837932C2211yescharacteristic
75#16837930—21no—
76C2×#14273716C2211yescharacteristic, complemented
77#124×D59—21no—
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80#16837870C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic
84#16837788C2211yescharacteristic
85#16837786C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837763C2211yescharacteristic, complemented
91#16837751C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837742C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837696C2211yescharacteristic, complemented
97#16837696C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837695C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic
114#16837636C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic
122#16837620C2211yescharacteristic
123#16837620C2211yescharacteristic
124#16837620C2211yescharacteristic
125#16837620C2211yescharacteristic
126#16837620C2211yescharacteristic, complemented
127#16837620C2211yescharacteristic, complemented
128#16837620C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic
132#16837618C2211yescharacteristic, complemented
133#16837617C2211yescharacteristic, complemented
134#16837616C2211yescharacteristic, complemented
135#16837611C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837606C2211yescharacteristic, complemented
138#16837606C2211yescharacteristic, complemented
139#16837606C2211yescharacteristic, complemented
140#16837605C2211yescharacteristic, complemented
141#16837604C2211yescharacteristic, complemented
142#16837601C2211yescharacteristic, complemented
143#16837600C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic
146#16837566C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic
148#16837559C2211yescharacteristic, complemented
149#16837558C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic
153#16837545C2211yescharacteristic
154#16837542C2211yescharacteristic, complemented
155#16837541C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic
157#16837538C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic
159#16837535C2211yescharacteristic, complemented
160#16837532C2211yescharacteristic, complemented
161#16837531C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837508C2211yescharacteristic, complemented
165#16837506C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837505C2211yescharacteristic, complemented
168#16837501C2211yescharacteristic, complemented
169#16837500C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171C4×D472C2211yescharacteristic
172#16837484C2211yescharacteristic
173#16837478C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837461C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837406C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#16837396C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#487C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#485C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#419C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×Q8×D59—21no—
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213#14273758—42no—
214#14273755—42no—
215#14273755—42no—
216#14273754—42no—
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671—42no—
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233SD16×D59—42no—
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273725—21no—
248#14273725C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273721—21no—
258#14273721—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720D411yescharacteristic
263#14273717—21no—
264#14273717D411yescharacteristic
265#14273716—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716—21no—
269#14273716C2311yescharacteristic
270#14273716C2311yescharacteristic
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273715—21no—
275#14273715—21no—
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273714—21no—
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713D411yescharacteristic
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273711D411yescharacteristic
295#14273710—21no—
296#14273710—21no—
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273708—21no—
302#14273708D411yescharacteristic
303#14273707—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704D411yescharacteristic
319#14273703—21no—
320#14273703—21no—
321#14273703—21no—
322#14273703—21no—
323#14273703—21no—
324#14273703—21no—
325#14273703C2311yescharacteristic
326#14273702—21no—
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273699—21no—
338#14273699D411yescharacteristic
339#14273698—21no—
340#14273697—21no—
341#14273697—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350#14273692—21no—
351#14273692C2311yescharacteristic
352#14273692C2311yescharacteristic
353#14273692C2311yescharacteristic
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686C2311yescharacteristic
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273684—21no—
380#14273684—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383#14273683—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59C2311yescharacteristic
395C42×D59—21no—
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C4⋊Q8×C59—21no—
449C4⋊Q8×C59C2311yescharacteristic
450C4⋊Q8×C59C2311yescharacteristic
451#124×C59—21no—
452#124×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465#117×C59C2311yescharacteristic
466#117×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—41no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59—41no—
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C22×Dic59—21no—
516C22×Dic59C2×D411yescharacteristic
517C22×Dic59C2×D411yescharacteristic
518#11745689—41no—
519#11745689—41no—
520Q8×D59—41no—
521Q8×D59—41no—
522Q8×D59—82no—
523#11745687—82no—
524D4×D59—22no—
525D4×D59—41no—
526D4×D59—82no—
527#11745685—22no—
528#11745685—41no—
529#11745685—41no—
530#11745685—41no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—41no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118C2×D411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564SD16×C59—41no—
565SD16×C59—41no—
566SD16×C59—41no—
567M16×C59—41no—
568M16×C59—41no—
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59—21no—
595C42×C59—21no—
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59C2×D411yescharacteristic
603C22⋊Dic59C2×D411yescharacteristic
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745672—41no—
607#11745672—41no—
608#11745672—41no—
609#11745671—22no—
610#11745671—22no—
611#11745671—22no—
612#11745671—41no—
613#11745671—41no—
614#11745671—41no—
615#11745670—41no—
616#11745669—41no—
617#11745669—41no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59C2×D411yescharacteristic
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695Dic236—41no—
696D472—22no—
697D472—22no—
698D472—41no—
699D472—41no—
700#11745660—22no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59C22×D411yescharacteristic
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—81no—
730Q8×C59—81no—
731Q8×C59—81no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—41no—
735D4×C59—81no—
736D4×C59—81no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C2511yescharacteristic
756C22⋊D59—41no—
757C22⋊D59—41no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—41no—
770C2×Dic59—41no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—42no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236H(5,𝔽2)12yes—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—42no—
795C4×D59—42no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—41no—
811Dic118—42no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62087—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—22no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3561—591no—
877#3514—591no—
878#3401—591no—
879#3401—591no—
880#3367—591no—
881#3367—591no—
882#3329—591no—
883#3329D5911yescharacteristic, complemented
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3273—591no—
889#3273—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3225—591no—
898#3225—591no—
899#3213—591no—
900#3118—591no—
901#3118—591no—
902#3116—591no—
903#3042—591no—
904#3042—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—42no—
915D59—81no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#563—1181no—
925#562—1181no—
926#559—591no—
927#556—591no—
928#556—591no—
929#556—591no—
930#555—591no—
931#555C2×D5911yescharacteristic
932#551—1181no—
933#551—1181no—
934#551—1181no—
935#551—1181no—
936D4×Q8—591no—
937D4×Q8—591no—
938D4×Q8C2×D5911yescharacteristic, complemented
939#548—591no—
940#548—591no—
941#548—1181no—
942#546—591no—
943#546—591no—
944#546—591no—
945#546—591no—
946#546—1181no—
947D42—591no—
948#543—1181no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—591no—
953#542—1181no—
954#542—1181no—
955#538—1181no—
956#538—1181no—
957#538—1181no—
958#536—591no—
959#536—591no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#124—591no—
965C2×#124—1181no—
966#518—591no—
967#518—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#496—591no—
972#496—591no—
973#495—591no—
974#495—591no—
975#489—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#487—591no—
980#487C2×D5911yescharacteristic, complemented
981#485—591no—
982#485—591no—
983#485C2×D5911yescharacteristic, complemented
984#485C2×D5911yescharacteristic, complemented
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#477C2×D5911yescharacteristic, complemented
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468C2×D5911yescharacteristic, complemented
1004#468C2×D5911yescharacteristic, complemented
1005#467—591no—
1006#467—591no—
1007#466—591no—
1008#466—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#462—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#461—591no—
1035#461—591no—
1036#461C2×D5911yescharacteristic, complemented
1037#460—591no—
1038#460—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#449—591no—
1048#449—591no—
1049#448—591no—
1050#448—591no—
1051#448C2×D5911yescharacteristic, complemented
1052#448C2×D5911yescharacteristic, complemented
1053#447—591no—
1054#447—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×SD16—591no—
1068C4×SD16C2×D5911yescharacteristic, complemented
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436C2×D5911yescharacteristic, complemented
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#419C2×D5911yescharacteristic, complemented
1085#419C2×D5911yescharacteristic, complemented
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6208711yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C22×Q8—591no—
1095C22×Q8—1181no—
1096C22×Q8C22×D5911yescharacteristic
1097C22×Q8C22×D5911yescharacteristic
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—1181no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—2362no—
1122C2×SD16—2362no—
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16C22×D5911yescharacteristic
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—21no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—1181no—
1145C4⋊Q8C22×D5911yescharacteristic
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#126—591no—
1149#126—591no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#125—591no—
1161#125—1181no—
1162#124—21no—
1163#124—21no—
1164#124—591no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#123—591no—
1187#123—591no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8C22×D5911yescharacteristic
1228C22⋊Q8C22×D5911yescharacteristic
1229#121—21no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121C22×D5911yescharacteristic
1245#121C22×D5911yescharacteristic
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×Q8C22×D5911yescharacteristic
1261C4×D4—21no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—21no—
1287#117—591no—
1288#117—591no—
1289#117—591no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117C22×D5911yescharacteristic
1296#117C22×D5911yescharacteristic
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106C22×D5911yescharacteristic
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103C22×D5911yescharacteristic
1337#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#103C22×D5911yescharacteristic
1342#103C22×D5911yescharacteristic
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—591no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—4722no—
1396C2×Q8—2361no—
1397C2×Q8—2361no—
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×Q8C23×D5911yescharacteristic
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1182no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1182no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4D4×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451Q16—2361no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469D8—1182no—
1470D8—1182no—
1471D8—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—41no—
1476M16—41no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4D4×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C4⋊C4C23×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—591no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—591no—
1595C23—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—1181no—
1599C23—4721no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—2362no—
1606C23—2362no—
1607C23—2362no—
1608C23C2×D4×D5911yescharacteristic
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—81no—
1618Q8—81no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2361no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—81no—
1632D4—81no—
1633D4—592no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—2362no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—4721no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2361no—
1696C2×C4—2361no—
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1182no—
1721C22—1181no—
1722C22—1181no—
1723C22—9442no—
1724C22—9442no—
1725C22—9442no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4H(5,𝔽2)×D5911yescharacteristic
1761C4#1683823811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—4721no—
1768C2—2361no—
1769C2—2362no—
1770C2#2143775911yescharacteristic
1771C2#2143887411yescharacteristic
1772C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3329C2
socleC22×C59C23×D4
hypercenter#3329D59
hypocenterC59#62087
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3329

Complements

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

NH ≅ G/Ntype
1. #21438662C2semidirect
2. #21438053C2semidirect
3. #21437169C2semidirect
4. #21437158C2semidirect
5. #21436819C2semidirect
6. #21436817C2semidirect
7. #21436386C2semidirect
8. #21436255C2semidirect
9. #21436246C2semidirect
10. #21436163C2semidirect
11. #21436160C2semidirect
12. #21435708C2semidirect
13. #21435704C2semidirect
14. #21435609C2semidirect
15. #21435607C2semidirect
16. #21435598C2semidirect
17. #21435584C2semidirect
18. #21435559C2semidirect
19. #21435553C2semidirect
20. #21435478C2semidirect
21. #21435208C2semidirect
22. #21435203C2semidirect
23. #21435082C2semidirect
24. #21434286C2semidirect
25. #21434283C2semidirect
26. #21434253C2semidirect
27. #21433607C2semidirect
28. #21433603C2semidirect
29. #21433593C2semidirect
30. #21433260C2semidirect
31. C59×#3329C2semidirect
36. C22×#11745671C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838126C22semidirect
42. #16838124C22semidirect
43. #16838120C22semidirect
49. #16838067C22semidirect
50. Q8×C22⋊D59C22semidirect
56. #16838048C22semidirect
57. #16838043C22semidirect
59. #16838036C22semidirect
62. #16838026C22semidirect
63. #16838025C22semidirect
64. #16838024C22semidirect
66. #16838019C22semidirect
70. #16837977C22semidirect
71. #16837976C22semidirect
72. #16837954C22semidirect
76. C2×#14273716C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
81. #16837794C22semidirect
82. #16837793C22semidirect
85. #16837786C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837763C22semidirect
90. #16837763C22semidirect
91. #16837751C22semidirect
92. #16837743C22semidirect
93. #16837742C22semidirect
94. #16837728C22semidirect
95. #16837726C22semidirect
96. #16837696C22semidirect
97. #16837696C22semidirect
98. #16837695C22semidirect
99. #16837695C22semidirect
100. #16837691C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837679C22semidirect
105. #16837651C22semidirect
106. #16837650C22semidirect
107. #16837649C22semidirect
108. #16837648C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
111. #16837642C22semidirect
112. #16837641C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837624C22semidirect
120. #16837622C22semidirect
126. #16837620C22semidirect
127. #16837620C22semidirect
128. #16837620C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
132. #16837618C22semidirect
133. #16837617C22semidirect
134. #16837616C22semidirect
135. #16837611C22semidirect
136. #16837606C22semidirect
137. #16837606C22semidirect
138. #16837606C22semidirect
139. #16837606C22semidirect
140. #16837605C22semidirect
141. #16837604C22semidirect
142. #16837601C22semidirect
143. #16837600C22semidirect
144. #16837567C22semidirect
146. #16837566C22semidirect
148. #16837559C22semidirect
149. #16837558C22semidirect
150. #16837552C22semidirect
151. #16837551C22semidirect
154. #16837542C22semidirect
155. #16837541C22semidirect
157. #16837538C22semidirect
159. #16837535C22semidirect
160. #16837532C22semidirect
161. #16837531C22semidirect
162. #16837513C22semidirect
163. #16837512C22semidirect
164. #16837508C22semidirect
165. #16837506C22semidirect
166. #16837505C22semidirect
167. #16837505C22semidirect
168. #16837501C22semidirect
169. #16837500C22semidirect
170. #16837487C22semidirect
173. #16837478C22semidirect
174. #16837476C22semidirect
175. #16837474C22semidirect
176. #16837471C22semidirect
177. #16837470C22semidirect
178. #16837461C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837430C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837409C22semidirect
185. #16837406C22semidirect
186. #16837397C22semidirect
187. #16837396C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#487C22semidirect
191. C59×#485C22semidirect
192. C59×#485C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#461C22semidirect
197. C59×#448C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#419C22semidirect
883. #3329D59semidirect
938. D4×Q8C2×D59semidirect
980. #487C2×D59semidirect
983. #485C2×D59semidirect
984. #485C2×D59semidirect
991. #477C2×D59semidirect
1003. #468C2×D59semidirect
1004. #468C2×D59semidirect
1036. #461C2×D59semidirect
1051. #448C2×D59semidirect
1052. #448C2×D59semidirect
1068. C4×SD16C2×D59semidirect
1072. #436C2×D59semidirect
1084. #419C2×D59semidirect
1085. #419C2×D59semidirect
1089. C59#62087semidirect

Maximal subgroups

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

subgroupindex
#214386622
#214380532
#214371692
#214371582
#214368192
#214368172
#214363862
#214362552
#214362462
#214361632
#214361602
#214357082
#214357042
#214356092
#214356072
#214355982
#214355842
#214355592
#214355532
#214354782
#214352082
#214352032
#214350822
#214342862
#214342832
#214342532
#214336072
#214336032
#214335932
#214332602
C59×#33292
#6208759