Finite Group Databasebeta

← #29484172

Subgroups — #29484172

Order 15104.

1840 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#21438613C211yesmaximal, characteristic, complemented
2#21438106C211yesmaximal, characteristic, complemented
3#21437166C211yesmaximal, characteristic, complemented
4#21437163C211yesmaximal, characteristic, complemented
5#21436909C211yesmaximal, characteristic, complemented
6#21436907C211yesmaximal, characteristic, complemented
7#21436325C211yesmaximal, characteristic, complemented
8#21436321C211yesmaximal, characteristic, complemented
9#21436255C211yesmaximal, characteristic, complemented
10#21436248C211yesmaximal, characteristic, complemented
11#21436163C211yesmaximal, characteristic, complemented
12#21435753C211yesmaximal, characteristic, complemented
13#21435749C211yesmaximal, characteristic, complemented
14#21435604C211yesmaximal, characteristic, complemented
15#21435603C211yesmaximal, characteristic, complemented
16#21435598C211yesmaximal, characteristic, complemented
17#21435596C211yesmaximal, characteristic, complemented
18#21435559C211yesmaximal, characteristic, complemented
19#21435558C211yesmaximal, characteristic, complemented
20#21435478C211yesmaximal, characteristic, complemented
21#21435196C211yesmaximal, characteristic, complemented
22#21435191C211yesmaximal, characteristic, complemented
23#21435098C211yesmaximal, characteristic, complemented
24#21434329C211yesmaximal, characteristic, complemented
25#21434328C211yesmaximal, characteristic, complemented
26#21434242C211yesmaximal, characteristic, complemented
27#21433620C211yesmaximal, characteristic, complemented
28#21433615C211yesmaximal, characteristic, complemented
29#21433593C211yesmaximal, characteristic, complemented
30#21433267C211yesmaximal, characteristic, complemented
31C59×#3313C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic
36C22×#11745660C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838148—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41#16838134C2211yescharacteristic
42#16838132C2211yescharacteristic, complemented
43#16838124—21no—
44#16838124C2211yescharacteristic, complemented
45#16838120C2211yescharacteristic, complemented
46#16838119—21no—
47#16838119—21no—
48#16838115C2211yescharacteristic, complemented
49#16838114—21no—
50#16838065C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic
52#16838062C2211yescharacteristic, complemented
53#16838061C2211yescharacteristic, complemented
54#16838047—21no—
55#16838043C2211yescharacteristic
56#16838041—21no—
57#16838040C2211yescharacteristic
58D4×D236C2211yescharacteristic
59#16838036C2211yescharacteristic
60#16838026C2211yescharacteristic, complemented
61#16838025C2211yescharacteristic
62#16838025C2211yescharacteristic, complemented
63#16838024C2211yescharacteristic
64#16838018—21no—
65#16838016—21no—
66#16837992—21no—
67#16837986—21no—
68#16837985—21no—
69#16837970C2211yescharacteristic
70#16837966C2211yescharacteristic
71#16837960—21no—
72#16837956—21no—
73#16837954C2211yescharacteristic, complemented
74#16837947C2211yescharacteristic
75#16837935—21no—
76#16837932C2211yescharacteristic
77C2×#14273716C2211yescharacteristic
78#16837879C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80#16837870C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837788C2211yescharacteristic
85#16837787C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837750C2211yescharacteristic
91#16837747C2211yescharacteristic
92#16837742C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic
94#16837726C2211yescharacteristic
95#16837726C2211yescharacteristic, complemented
96#16837696C2211yescharacteristic, complemented
97#16837695C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837686C2211yescharacteristic, complemented
100#16837681C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic
107#16837650C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic
110#16837648C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic
114#16837638C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837627C2211yescharacteristic, complemented
120#16837627C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837626C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837621C2211yescharacteristic, complemented
128#16837620C2211yescharacteristic, complemented
129#16837620C2211yescharacteristic, complemented
130#16837620C2211yescharacteristic, complemented
131#16837620C2211yescharacteristic, complemented
132#16837620C2211yescharacteristic, complemented
133#16837618C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837603C2211yescharacteristic
137#16837602C2211yescharacteristic
138#16837601C2211yescharacteristic
139#16837601C2211yescharacteristic
140#16837601C2211yescharacteristic, complemented
141#16837601C2211yescharacteristic, complemented
142#16837600C2211yescharacteristic, complemented
143#16837596C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837558C2211yescharacteristic, complemented
146#16837557C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic
149#16837554C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic
151#16837552C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837545C2211yescharacteristic, complemented
156#16837543C2211yescharacteristic
157#16837542C2211yescharacteristic
158#16837538C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837530C2211yescharacteristic, complemented
161#16837529C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169C4×#11745672C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171C4×#11745671C2211yescharacteristic, complemented
172#16837489C2211yescharacteristic, complemented
173#16837480C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837476C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837464C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837428C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic
185#16837406C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C22×Dic118C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213#14273759—42no—
214#14273758—42no—
215#14273757—42no—
216#14273755—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660—42no—
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273726—21no—
245#14273726—21no—
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725—21no—
250#14273725—21no—
251#14273725C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722D411yescharacteristic
260#14273721—21no—
261#14273721—21no—
262#14273721—21no—
263#14273720—21no—
264#14273720D411yescharacteristic
265#14273717—21no—
266#14273717D411yescharacteristic
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716—21no—
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273716C2311yescharacteristic
277#14273715—21no—
278#14273715—21no—
279#14273715—21no—
280#14273715C2311yescharacteristic
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713D411yescharacteristic
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273711—21no—
296#14273711D411yescharacteristic
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273708D411yescharacteristic
302#14273707—21no—
303#14273707—21no—
304#14273707C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704D411yescharacteristic
314#14273703—21no—
315#14273703—21no—
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699D411yescharacteristic
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—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×Dic118—21no—
350C4×Dic118—21no—
351C4×Dic118—21no—
352C4×Dic118C2311yescharacteristic
353C4×Dic118C2311yescharacteristic
354#14273692—21no—
355#14273692—21no—
356#14273692—21no—
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360#14273692C2311yescharacteristic
361#14273692C2311yescharacteristic
362C4×D236—21no—
363C4×D236C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273684—21no—
384#14273684—21no—
385#14273684—21no—
386#14273684C2311yescharacteristic
387#14273683—21no—
388#14273683—21no—
389#14273683—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—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#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
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#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#124×C59—21no—
452#124×C59—21no—
453#124×C59C2311yescharacteristic
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460C4×Q8×C59—21no—
461C4×Q8×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
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#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
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×Dic59—21no—
517C22×Dic59C2×D411yescharacteristic
518C22×Dic59C2×D411yescharacteristic
519#11745689—41no—
520#11745689—41no—
521Q8×D59—22no—
522Q8×D59—41no—
523#11745687—82no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527D4×D59—82no—
528#11745685—22no—
529#11745685—41no—
530C2×D236—21no—
531C2×D236—21no—
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×D236—41no—
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
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×D59C2411yescharacteristic
554C2×Dic118—22no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—41no—
561C2×Dic118C2×D411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565Q16×C59—41no—
566SD16×C59—41no—
567M16×C59—41no—
568C2×C8×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×C59—21no—
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C42×C59—21no—
595C42×C59—21no—
596C42×C59—21no—
597C42×C59—21no—
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59C2×D411yescharacteristic
602C22⋊Dic59C2×D411yescharacteristic
603C22⋊Dic59C2×D411yescharacteristic
604C22⋊Dic59C2×D411yescharacteristic
605#11745672—22no—
606#11745672—22no—
607#11745672—41no—
608#11745672—41no—
609#11745671—41no—
610#11745671—41no—
611#11745671—41no—
612#11745671—41no—
613#11745671—41no—
614#11745670—22no—
615#11745670—41no—
616#11745669—41no—
617(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
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—
690#11745664—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—41no—
696D472—41no—
697D472—41no—
698#11745660—22no—
699#11745660—22no—
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—81no—
715C22×D59—81no—
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—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—42no—
735D4×C59—81no—
736C2×C4×C59—21no—
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—81no—
748C2×C4×C59—81no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C2511yescharacteristic
754C22⋊D59—41no—
755C22⋊D59—41no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
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—42no—
772C2×Dic59—81no—
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236—81no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—41no—
809Dic118—42no—
810Dic118—42no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118H(5,𝔽2)12yes—
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#62092—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—41no—
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—22no—
872Dic59—21no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3518—591no—
878#3401—591no—
879#3401—591no—
880#3375—591no—
881#3375—591no—
882#3324—591no—
883#3324—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313D5911yescharacteristic, complemented
888#3277—591no—
889#3277—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3224—591no—
898#3224—591no—
899#3215—591no—
900#3121—591no—
901#3121—591no—
902#3115—591no—
903#3043—591no—
904#3043—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—81no—
915D59—81no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×#137—591no—
920C2×#137—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928Q82—591no—
929#556—591no—
930#556—591no—
931#556—1181no—
932#556—1181no—
933#556—1181no—
934#556C2×D5911yescharacteristic, complemented
935#555—591no—
936#555—1181no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#548—591no—
941#548C2×D5911yescharacteristic
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—1181no—
953#542—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#533—1181no—
962#532—591no—
963#529—591no—
964#529—1181no—
965C2×#124—591no—
966#519—591no—
967#519—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#489C2×D5911yescharacteristic, complemented
979#486—591no—
980#486—591no—
981#485—591no—
982#485C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#482—591no—
986#482C2×D5911yescharacteristic, complemented
987#477—591no—
988#477—591no—
989#477—591no—
990#477C2×D5911yescharacteristic, complemented
991#475—591no—
992#474—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#468—591no—
1004#468C2×D5911yescharacteristic, complemented
1005#467—591no—
1006#467C2×D5911yescharacteristic, complemented
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#464—591no—
1016#464—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#464C2×D5911yescharacteristic, complemented
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#460—591no—
1037#460—591no—
1038#459—591no—
1039#452—591no—
1040#452C2×D5911yescharacteristic, complemented
1041#451—591no—
1042#451—591no—
1043#451—591no—
1044#451C2×D5911yescharacteristic, complemented
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#450—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#449—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441C2×D5911yescharacteristic, complemented
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435C2×D5911yescharacteristic, complemented
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419C2×D5911yescharacteristic, complemented
1084#418—591no—
1085#418—591no—
1086#418—591no—
1087#416—591no—
1088#416C2×D5911yescharacteristic, complemented
1089C59#6209211yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—1181no—
1093C2×#41C22×D5911yescharacteristic
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8C22×D5911yescharacteristic
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102#137—2362no—
1103#137—2362no—
1104#137—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16C22×D5911yescharacteristic
1111C2×Q16C22×D5911yescharacteristic
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—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—2362no—
1126C2×SD16—2362no—
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8C22×D5911yescharacteristic
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8—1181no—
1144C4⋊Q8—1181no—
1145C4⋊Q8—1181no—
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#127—591no—
1149#127—591no—
1150#126—21no—
1151#126—21no—
1152#126—591no—
1153#126—591no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#125—591no—
1163#125—1181no—
1164#124—21no—
1165#124—21no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
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#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#123—591no—
1191#123—591no—
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—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
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⋊Q8C22×D5911yescharacteristic
1219C22⋊Q8C22×D5911yescharacteristic
1220C22⋊Q8C22×D5911yescharacteristic
1221#121—21no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#120—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—21no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8—1181no—
1267C4×Q8—1181no—
1268C4×Q8—1181no—
1269C4×Q8C22×D5911yescharacteristic
1270C4×Q8C22×D5911yescharacteristic
1271C4×D4—21no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4C22×D5911yescharacteristic
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117C22×D5911yescharacteristic
1302#117C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
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#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
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#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8—591no—
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—41no—
1375#41—41no—
1376#41—1182no—
1377#41—4722no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1182no—
1393C2×Q8—1181no—
1394C2×Q8—1182no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8C23×D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—4722no—
1425C2×D4—4722no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4D4×D5911yescharacteristic
1433C2×D4C23×D5911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
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—41no—
1452Q16—41no—
1453Q16—1182no—
1454Q16—1182no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—41no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—41no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
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—21no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1573C22⋊C4D4×D5911yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
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—4721no—
1606C23—4721no—
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—592no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—2361no—
1626Q8—2362no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—42no—
1632D4—81no—
1633D4—1181no—
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—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—2361no—
1656D4—2361no—
1657D4—2362no—
1658D4—2362no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—591no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2361no—
1695C2×C4—2361no—
1696C2×C4—2362no—
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—1181no—
1721C22—1181no—
1722C22—9442no—
1723C22—9442no—
1724C22—9442no—
1725C22—2361no—
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—1182no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—1181no—
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—4721no—
1769C2—2361no—
1770C2#2143775911yescharacteristic
1771C2#2143887311yescharacteristic
1772C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3313C2
socleC22×C59C23×D4
hypercenter#3313D59
hypocenterC59#62092
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #21438613C2semidirect
2. #21438106C2semidirect
3. #21437166C2semidirect
4. #21437163C2semidirect
5. #21436909C2semidirect
6. #21436907C2semidirect
7. #21436325C2semidirect
8. #21436321C2semidirect
9. #21436255C2semidirect
10. #21436248C2semidirect
11. #21436163C2semidirect
12. #21435753C2semidirect
13. #21435749C2semidirect
14. #21435604C2semidirect
15. #21435603C2semidirect
16. #21435598C2semidirect
17. #21435596C2semidirect
18. #21435559C2semidirect
19. #21435558C2semidirect
20. #21435478C2semidirect
21. #21435196C2semidirect
22. #21435191C2semidirect
23. #21435098C2semidirect
24. #21434329C2semidirect
25. #21434328C2semidirect
26. #21434242C2semidirect
27. #21433620C2semidirect
28. #21433615C2semidirect
29. #21433593C2semidirect
30. #21433267C2semidirect
31. C59×#3313C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273758C22semidirect
34. C2×#14273757C22semidirect
36. C22×#11745660C22semidirect
37. C2×SD16×D59C22semidirect
42. #16838132C22semidirect
44. #16838124C22semidirect
45. #16838120C22semidirect
48. #16838115C22semidirect
50. #16838065C22semidirect
52. #16838062C22semidirect
53. #16838061C22semidirect
60. #16838026C22semidirect
62. #16838025C22semidirect
73. #16837954C22semidirect
78. #16837879C22semidirect
79. #16837878C22semidirect
80. #16837870C22semidirect
81. #16837795C22semidirect
82. #16837795C22semidirect
85. #16837787C22semidirect
86. #16837784C22semidirect
87. #16837763C22semidirect
88. #16837763C22semidirect
89. #16837763C22semidirect
92. #16837742C22semidirect
95. #16837726C22semidirect
96. #16837696C22semidirect
97. #16837695C22semidirect
98. #16837695C22semidirect
99. #16837686C22semidirect
100. #16837681C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837679C22semidirect
105. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837646C22semidirect
112. #16837642C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837627C22semidirect
120. #16837627C22semidirect
121. #16837627C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837626C22semidirect
125. #16837626C22semidirect
126. #16837624C22semidirect
127. #16837621C22semidirect
128. #16837620C22semidirect
129. #16837620C22semidirect
130. #16837620C22semidirect
131. #16837620C22semidirect
132. #16837620C22semidirect
133. #16837618C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
140. #16837601C22semidirect
141. #16837601C22semidirect
142. #16837600C22semidirect
143. #16837596C22semidirect
144. #16837567C22semidirect
145. #16837558C22semidirect
146. #16837557C22semidirect
147. #16837556C22semidirect
149. #16837554C22semidirect
151. #16837552C22semidirect
152. #16837550C22semidirect
153. #16837549C22semidirect
154. #16837547C22semidirect
155. #16837545C22semidirect
158. #16837538C22semidirect
159. #16837537C22semidirect
160. #16837530C22semidirect
161. #16837529C22semidirect
162. #16837513C22semidirect
163. #16837511C22semidirect
164. #16837506C22semidirect
165. #16837504C22semidirect
166. #16837501C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. C4×#11745672C22semidirect
170. #16837494C22semidirect
171. C4×#11745671C22semidirect
172. #16837489C22semidirect
173. #16837480C22semidirect
174. #16837477C22semidirect
175. #16837476C22semidirect
176. #16837473C22semidirect
177. #16837471C22semidirect
178. #16837464C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837428C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
185. #16837406C22semidirect
186. #16837405C22semidirect
187. #16837397C22semidirect
188. C59×#556C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#441C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
887. #3313D59semidirect
934. #556C2×D59semidirect
978. #489C2×D59semidirect
982. #485C2×D59semidirect
986. #482C2×D59semidirect
990. #477C2×D59semidirect
1004. #468C2×D59semidirect
1006. #467C2×D59semidirect
1022. #464C2×D59semidirect
1040. #452C2×D59semidirect
1044. #451C2×D59semidirect
1062. #441C2×D59semidirect
1076. #435C2×D59semidirect
1083. #419C2×D59semidirect
1088. #416C2×D59semidirect
1089. C59#62092semidirect

Maximal subgroups

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

subgroupindex
#214386132
#214381062
#214371662
#214371632
#214369092
#214369072
#214363252
#214363212
#214362552
#214362482
#214361632
#214357532
#214357492
#214356042
#214356032
#214355982
#214355962
#214355592
#214355582
#214354782
#214351962
#214351912
#214350982
#214343292
#214343282
#214342422
#214336202
#214336152
#214335932
#214332672
C59×#33132
#6209259