Finite Group Databasebeta

← #29481276

Subgroups — #29481276

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438050C211yesmaximal, characteristic, complemented
2#21437717C211yesmaximal, characteristic, complemented
3#21437170C211yesmaximal, characteristic, complemented
4#21437161C211yesmaximal, characteristic, complemented
5#21436943C211yesmaximal, characteristic, complemented
6#21436861C211yesmaximal, characteristic, complemented
7#21436359C211yesmaximal, characteristic, complemented
8#21436305C211yesmaximal, characteristic, complemented
9#21436151C211yesmaximal, characteristic, complemented
10#21436123C211yesmaximal, characteristic, complemented
11#21436087C211yesmaximal, characteristic, complemented
12#21436059C211yesmaximal, characteristic, complemented
13#21435753C211yesmaximal, characteristic, complemented
14#21435721C211yesmaximal, characteristic, complemented
15#21435666C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435498C211yesmaximal, characteristic, complemented
19#21435467C211yesmaximal, characteristic, complemented
20#21435444C211yesmaximal, characteristic, complemented
21#21435137C211yesmaximal, characteristic, complemented
22#21435094C211yesmaximal, characteristic, complemented
23#21435066C211yesmaximal, characteristic, complemented
24#21434268C211yesmaximal, characteristic, complemented
25#21434211C211yesmaximal, characteristic, complemented
26#21434171C211yesmaximal, characteristic, complemented
27#21433587C211yesmaximal, characteristic, complemented
28#21433565C211yesmaximal, characteristic, complemented
29C2×#16837626C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3270C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic
35C22×#11745671C2211yescharacteristic
36#16838134C2211yescharacteristic
37#16838131C2211yescharacteristic, complemented
38#16838126—21no—
39#16838126C2211yescharacteristic, complemented
40#16838124C2211yescharacteristic
41#16838114—21no—
42#16838094—21no—
43#16838094—21no—
44#16838094C2211yescharacteristic
45#16838094C2211yescharacteristic, complemented
46#16838081—21no—
47#16838079—21no—
48Q8×C22⋊D59C2211yescharacteristic
49#16838063C2211yescharacteristic
50#16838063C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic
52#16838056—21no—
53#16838056C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838040C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16838022—21no—
59#16837989—21no—
60#16837986—21no—
61#16837957—21no—
62#16837957C2211yescharacteristic, complemented
63#16837948C2211yescharacteristic
64#16837939C2211yescharacteristic
65#16837938—21no—
66#16837938—21no—
67#16837938C2211yescharacteristic
68#16837938C2211yescharacteristic, complemented
69#16837938C2211yescharacteristic, complemented
70#16837933C2211yescharacteristic
71C2×#14273716C2211yescharacteristic
72#124×D59C2211yescharacteristic
73#16837874—21no—
74C4×#11745689C2211yescharacteristic, complemented
75C4×#11745687—21no—
76C4×#11745687C2211yescharacteristic
77C2×Q8×Dic59C2211yescharacteristic, complemented
78C2×Q8×Dic59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837794C2211yescharacteristic
81#16837788C2211yescharacteristic
82#16837787C2211yescharacteristic
83#16837787C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic
86#16837762C2211yescharacteristic
87#16837761C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic
89#16837758C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic
94#16837721C2211yescharacteristic
95#16837713C2211yescharacteristic
96#16837712C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837707C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic
103#16837701C2211yescharacteristic, complemented
104#16837697C2211yescharacteristic, complemented
105#16837693C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic
109#16837651C2211yescharacteristic
110#16837651C2211yescharacteristic
111#16837650C2211yescharacteristic
112#16837650C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic
115#16837631C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic
118#16837626C2211yescharacteristic
119#16837626C2211yescharacteristic
120#16837626C2211yescharacteristic
121#16837626C2211yescharacteristic
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837626C2211yescharacteristic, complemented
126#16837626C2211yescharacteristic, complemented
127#16837626C2211yescharacteristic, complemented
128#16837624C2211yescharacteristic
129#16837622C2211yescharacteristic, complemented
130#16837622C2211yescharacteristic, complemented
131#16837622C2211yescharacteristic, complemented
132#16837620C2211yescharacteristic
133#16837620C2211yescharacteristic
134#16837620C2211yescharacteristic, complemented
135#16837619C2211yescharacteristic, complemented
136#16837618C2211yescharacteristic
137#16837616C2211yescharacteristic, complemented
138#16837614C2211yescharacteristic, complemented
139#16837610C2211yescharacteristic, complemented
140#16837610C2211yescharacteristic, complemented
141#16837604C2211yescharacteristic, complemented
142#16837600C2211yescharacteristic
143#16837600C2211yescharacteristic
144#16837563C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837558C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic
150#16837551C2211yescharacteristic
151#16837551C2211yescharacteristic
152#16837550C2211yescharacteristic
153#16837549C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837541C2211yescharacteristic
156#16837541C2211yescharacteristic, complemented
157#16837538C2211yescharacteristic
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837509C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic
164#16837505C2211yescharacteristic
165#16837500C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837494C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic
175#16837470C2211yescharacteristic
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837404C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186C2×#14273651C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C22×Q16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#548C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic
195C59×#464C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic
201C59×#441C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211#14273759—42no—
212#14273758—42no—
213#14273754—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745671—42no—
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234#14273727—21no—
235#14273727C2311yescharacteristic
236#14273725—21no—
237#14273725C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273721—21no—
249#14273720—21no—
250#14273718—21no—
251#14273718—21no—
252#14273718—21no—
253#14273718—21no—
254#14273718—21no—
255#14273718C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273718C2311yescharacteristic
258#14273716—21no—
259#14273716—21no—
260#14273716—21no—
261#14273716—21no—
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273708—21no—
287#14273707—21no—
288#14273707—21no—
289#14273707—21no—
290#14273706—21no—
291#14273706C2311yescharacteristic
292#14273705—21no—
293#14273705—21no—
294#14273703—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273702C2311yescharacteristic
301#14273701—21no—
302#14273701—21no—
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315#14273695—21no—
316Q8×Dic59—21no—
317Q8×Dic59—21no—
318Q8×Dic59—21no—
319Q8×Dic59—21no—
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324Q8×Dic59C2311yescharacteristic
325Q8×Dic59C2311yescharacteristic
326Q8×Dic59C2311yescharacteristic
327Q8×Dic59C2311yescharacteristic
328C4×Dic118—21no—
329C4×Dic118C2311yescharacteristic
330#14273692—21no—
331#14273692D411yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236—21no—
334C4×D236—21no—
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337D4×Dic59—21no—
338D4×Dic59D411yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59C2311yescharacteristic
350C4×C22⋊D59C2311yescharacteristic
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4D411yescharacteristic
356(C22⋊D59)⋊C4D411yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685—21no—
361#14273685—21no—
362#14273685—21no—
363#14273685D411yescharacteristic
364#14273685C2311yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370#14273683D411yescharacteristic
371#14273683D411yescharacteristic
372C2×C4⋊Dic59—21no—
373C2×C4⋊Dic59—21no—
374C2×C4⋊Dic59C2311yescharacteristic
375C2×C4⋊Dic59C2311yescharacteristic
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59C2311yescharacteristic
385C2×C4×Dic59C2311yescharacteristic
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443#137×C59—42no—
444C2×Q16×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×Q16×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457C4⋊Q8×C59C2311yescharacteristic
458#124×C59—21no—
459#124×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59—21no—
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466#121×C59—21no—
467#121×C59C2311yescharacteristic
468C4×Q8×C59C2311yescharacteristic
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59C2311yescharacteristic
473#106×C59C2311yescharacteristic
474C4⋊C8×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
483#97×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—41no—
487#41×C59—41no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—22no—
492C2×Q8×C59—22no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527C22×Dic59C2×D411yescharacteristic
528#11745689—22no—
529#11745689—41no—
530Q8×D59—41no—
531Q8×D59—41no—
532#11745687—42no—
533#11745687—44no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—44no—
537#11745685—41no—
538#11745685—41no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
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×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118C2×D411yescharacteristic
560C2×Dic118C2411yescharacteristic
561Q16×C59—22no—
562Q16×C59—22no—
563Q16×C59—41no—
564Q16×C59—41no—
565Q16×C59—41no—
566Q16×C59—41no—
567SD16×C59—22no—
568SD16×C59—41no—
569SD16×C59—41no—
570M16×C59—41no—
571C2×C8×C59—41no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
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×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59C2×D411yescharacteristic
602C22⋊Dic59C2×D411yescharacteristic
603#11745672—22no—
604#11745672—41no—
605#11745672—41no—
606#11745671—22no—
607#11745671—22no—
608#11745671—41no—
609#11745671—41no—
610#11745671—41no—
611#11745671—41no—
612#11745671—41no—
613#11745671—41no—
614#11745669—41no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
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
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×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702D472—41no—
703#11745660—41no—
704#11745659—41no—
705#11745659—41no—
706C23×C59—21no—
707C23×C59C22×D411yescharacteristic
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—42no—
729Q8×C59—42no—
730Q8×C59—81no—
731Q8×C59H(5,𝔽2)12yes—
732D4×C59—22no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—42no—
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—42no—
749C2×C4×C59—42no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—22no—
758C22⋊D59—41no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—41no—
773C2×Dic59—41no—
774C2×Dic59—41no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—81no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—42no—
792D236—42no—
793D236—81no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—41no—
797C4×D59—41no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—41no—
808Dic118—42no—
809Dic118—81no—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59#57512yes—
828C22×C59C23×D411yescharacteristic
829C2×D59—21no—
830C2×D59—21no—
831C2×D59—21no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—162no—
842C2×D59—162no—
843C4×C59—21no—
844C4×C59—22no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59C2×H(5,𝔽2)11yescharacteristic
855C4×C59#58511yescharacteristic
856Dic59—21no—
857Dic59—21no—
858Dic59—21no—
859Dic59—21no—
860Dic59—21no—
861Dic59—21no—
862Dic59—21no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514—591no—
869#3482—591no—
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306—591no—
880#3277—591no—
881#3275—591no—
882#3270—591no—
883#3270D5911yescharacteristic, complemented
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989—591no—
899C2×C59—22no—
900C2×C59—41no—
901C2×C59—81no—
902C2×C59#348811yescharacteristic
903C2×C59C2×#57511yescharacteristic
904C2×C59#358611yescharacteristic
905D59—41no—
906D59—81no—
907D59—81no—
908D59—81no—
909C2×#137—591no—
910C2×#137—591no—
911C2×#137C2×D5911yescharacteristic, complemented
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16C2×D5911yescharacteristic, complemented
914C22×SD16—591no—
915#559—591no—
916#557—591no—
917#556—591no—
918#556—591no—
919#556—1181no—
920#555—1181no—
921#552—591no—
922#552—591no—
923#552—1181no—
924#552—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8C2×D5911yescharacteristic, complemented
929#548—591no—
930#548—591no—
931#548—591no—
932#548C2×D5911yescharacteristic
933#547—591no—
934#547—1181no—
935#546—591no—
936#546—591no—
937#546—1181no—
938D42—591no—
939#542—1181no—
940#538—1181no—
941#538—1181no—
942#533—591no—
943#533—1181no—
944#532—591no—
945#529—591no—
946#529—591no—
947#529—591no—
948#529—591no—
949#529—591no—
950#529—1181no—
951#529—1181no—
952C2×#124—591no—
953C2×#124—591no—
954#518—1181no—
955C4×#41—591no—
956C4×#41—591no—
957C4×#41—1181no—
958C2×C4×Q8—591no—
959C2×C4×Q8—591no—
960#497—591no—
961#497—591no—
962#497C2×D5911yescharacteristic, complemented
963#496—591no—
964#495—591no—
965#495—591no—
966#491—591no—
967#490—591no—
968#489—591no—
969#489—591no—
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483—591no—
975#482—591no—
976#481—591no—
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476—591no—
988#470—591no—
989#470—591no—
990#470C2×D5911yescharacteristic, complemented
991#469—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#467—591no—
997#466—591no—
998#465—591no—
999#465C2×D5911yescharacteristic
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464C2×D5911yescharacteristic, complemented
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462C2×D5911yescharacteristic, complemented
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#452—591no—
1031#452—591no—
1032#452C2×D5911yescharacteristic, complemented
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451C2×D5911yescharacteristic, complemented
1037#451C2×D5911yescharacteristic, complemented
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449—591no—
1043#449—591no—
1044#448—591no—
1045#448—591no—
1046#448C2×D5911yescharacteristic
1047#447—591no—
1048#446—591no—
1049#446—591no—
1050#442—591no—
1051#441—591no—
1052#441—591no—
1053#441C2×D5911yescharacteristic, complemented
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436—591no—
1063#436—591no—
1064#435—591no—
1065#435—591no—
1066#435—591no—
1067#435C2×D5911yescharacteristic, complemented
1068#432—591no—
1069#432—591no—
1070#431—591no—
1071#423—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417—591no—
1078C2×#103—591no—
1079C2×#102—591no—
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—591no—
1082C2×#41—591no—
1083C2×#41—591no—
1084C2×#41—1181no—
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8C22×D5911yescharacteristic
1088C22×Q8C22×D5911yescharacteristic
1089C22×Q8C22×D5911yescharacteristic
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—1181no—
1093#137—42no—
1094#137—2362no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—42no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16C22×D5911yescharacteristic
1102C2×Q16C22×D5911yescharacteristic
1103C2×Q16C22×D5911yescharacteristic
1104C2×Q16C22×D5911yescharacteristic
1105C2×Q16C22×D5911yescharacteristic
1106C2×Q16C22×D5911yescharacteristic
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—2362no—
1117C2×SD16C22×D5911yescharacteristic
1118C2×SD16C22×D5911yescharacteristic
1119C2×SD16C22×D5911yescharacteristic
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×M16—591no—
1124C2×M16—591no—
1125C2×M16—591no—
1126C2×M16C22×D5911yescharacteristic
1127C22×C8—591no—
1128C22×C8C22×D5911yescharacteristic
1129C4⋊Q8—21no—
1130C4⋊Q8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—1181no—
1133C4⋊Q8—1181no—
1134C4⋊Q8C22×D5911yescharacteristic
1135#127—591no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—591no—
1148#125—591no—
1149#125—591no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125—1181no—
1155#124—21no—
1156#124—591no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—591no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124C22×D5911yescharacteristic
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—591no—
1190C22⋊Q8—591no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8C22×D5911yescharacteristic
1203C22⋊Q8C22×D5911yescharacteristic
1204C22⋊Q8C22×D5911yescharacteristic
1205#121—21no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121C22×D5911yescharacteristic
1219#120—1181no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—1181no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—1181no—
1287C2×C4⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299C2×C42—1181no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106C22×D5911yescharacteristic
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8C22×D5911yescharacteristic
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103C22×D5911yescharacteristic
1332#103C22×D5911yescharacteristic
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
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#102C22×D5911yescharacteristic
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8C22×D5911yescharacteristic
1355C22⋊C8C22×D5911yescharacteristic
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97C22×D5911yescharacteristic
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—1181no—
1363C24—1181no—
1364#41—41no—
1365#41—41no—
1366#41—1182no—
1367#41—2361no—
1368#41—2361no—
1369#41—2362no—
1370#41—2361no—
1371#41—2364no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—22no—
1376C2×Q8—22no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—2361no—
1386C2×Q8—2361no—
1387C2×Q8C23×D5911yescharacteristic
1388C2×Q8C23×D5911yescharacteristic
1389C2×Q8C23×D5911yescharacteristic
1390C2×Q8C23×D5911yescharacteristic
1391C2×Q8C23×D5911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—591no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4—2364no—
1414C2×D4D4×D5911yescharacteristic
1415C2×D4C23×D5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—591no—
1421C22×C4—591no—
1422C22×C4—591no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—22no—
1440Q16—22no—
1441Q16—41no—
1442Q16—41no—
1443Q16—41no—
1444Q16—41no—
1445Q16—1182no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—1182no—
1452SD16—1182no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—2361no—
1461D8—2361no—
1462D8—2361no—
1463M16—41no—
1464M16—2361no—
1465M16—2361no—
1466M16—2361no—
1467C2×C8—41no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—591no—
1471C2×C8—591no—
1472C2×C8—2361no—
1473C2×C8C23×D5911yescharacteristic
1474C2×C8C23×D5911yescharacteristic
1475C2×C8C23×D5911yescharacteristic
1476C2×C8C23×D5911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—591no—
1485C4⋊C4—591no—
1486C4⋊C4—591no—
1487C4⋊C4—591no—
1488C4⋊C4—591no—
1489C4⋊C4—591no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—591no—
1527C22⋊C4—591no—
1528C22⋊C4—591no—
1529C22⋊C4—591no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—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⋊C4D4×D5911yescharacteristic
1561C22⋊C4D4×D5911yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—591no—
1565C42—591no—
1566C42—591no—
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—1181no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—591no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—4721no—
1590C23—4721no—
1591C23—4721no—
1592C23—4721no—
1593C23—2362no—
1594C23—2362no—
1595C23C2×D4×D5911yescharacteristic
1596C23C2×D4×D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—42no—
1607Q8—42no—
1608Q8—81no—
1609Q8—1181no—
1610Q8—1181no—
1611Q8—4721no—
1612Q8—2361no—
1613Q8—2362no—
1614Q8#1427377212yes—
1615D4—22no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—81no—
1620D4—1182no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—1181no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2362no—
1633D4—2362no—
1634D4—2361no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—1182no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—4721no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—2361no—
1673C2×C4—2361no—
1674C2×C4—2362no—
1675C2×C4—2362no—
1676C2×C4—2362no—
1677C2×C4—2362no—
1678C2×C4—2361no—
1679C2×C4—2361no—
1680C2×C4—2361no—
1681C2×C4—2362no—
1682C2×C4—2362no—
1683C2×C4C2×D4×D5911yescharacteristic
1684C2×C4C2×D4×D5911yescharacteristic
1685C2×C4C2×D4×D5911yescharacteristic
1686C2×C4C2×D4×D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—1181no—
1705C22—1181no—
1706C22—1181no—
1707C22—9442no—
1708C22—9442no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22#1683820112yes—
1719C22C22×D4×D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—22no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—1181no—
1732C4—1181no—
1733C4—1181no—
1734C4—1181no—
1735C4—1181no—
1736C4—1181no—
1737C4—1181no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4C2×#1427377211yescharacteristic
1744C4#1683823711yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—81no—
1748C2—4721no—
1749C2—4721no—
1750C2—4721no—
1751C2—2361no—
1752C2#2143775611yescharacteristic
1753C2C2×#1683820111yescharacteristic
1754C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3270C2
socleC22×C59C23×D4
hypercenter#3270D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #21438050C2semidirect
2. #21437717C2semidirect
3. #21437170C2semidirect
4. #21437161C2semidirect
5. #21436943C2semidirect
6. #21436861C2semidirect
7. #21436359C2semidirect
8. #21436305C2semidirect
9. #21436151C2semidirect
10. #21436123C2semidirect
11. #21436087C2semidirect
12. #21436059C2semidirect
13. #21435753C2semidirect
14. #21435721C2semidirect
15. #21435666C2semidirect
16. #21435607C2semidirect
17. #21435584C2semidirect
18. #21435498C2semidirect
19. #21435467C2semidirect
20. #21435444C2semidirect
21. #21435137C2semidirect
22. #21435094C2semidirect
23. #21435066C2semidirect
24. #21434268C2semidirect
25. #21434211C2semidirect
26. #21434171C2semidirect
27. #21433587C2semidirect
28. #21433565C2semidirect
29. C2×#16837626C2semidirect
30. #21433208C2semidirect
31. C59×#3270C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273758C22semidirect
37. #16838131C22semidirect
39. #16838126C22semidirect
45. #16838094C22semidirect
50. #16838063C22semidirect
53. #16838056C22semidirect
62. #16837957C22semidirect
68. #16837938C22semidirect
69. #16837938C22semidirect
74. C4×#11745689C22semidirect
77. C2×Q8×Dic59C22semidirect
78. C2×Q8×Dic59C22semidirect
79. #16837795C22semidirect
83. #16837787C22semidirect
84. #16837769C22semidirect
87. #16837761C22semidirect
89. #16837758C22semidirect
90. #16837741C22semidirect
91. #16837735C22semidirect
92. #16837733C22semidirect
96. #16837712C22semidirect
97. #16837707C22semidirect
98. #16837707C22semidirect
99. #16837707C22semidirect
100. #16837707C22semidirect
101. #16837704C22semidirect
103. #16837701C22semidirect
104. #16837697C22semidirect
105. #16837693C22semidirect
106. #16837657C22semidirect
107. #16837657C22semidirect
112. #16837650C22semidirect
113. #16837641C22semidirect
115. #16837631C22semidirect
116. #16837627C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
124. #16837626C22semidirect
125. #16837626C22semidirect
126. #16837626C22semidirect
127. #16837626C22semidirect
129. #16837622C22semidirect
130. #16837622C22semidirect
131. #16837622C22semidirect
134. #16837620C22semidirect
135. #16837619C22semidirect
137. #16837616C22semidirect
138. #16837614C22semidirect
139. #16837610C22semidirect
140. #16837610C22semidirect
141. #16837604C22semidirect
144. #16837563C22semidirect
145. #16837562C22semidirect
146. #16837558C22semidirect
147. #16837556C22semidirect
148. #16837556C22semidirect
153. #16837549C22semidirect
154. #16837547C22semidirect
156. #16837541C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837515C22semidirect
161. #16837509C22semidirect
162. #16837509C22semidirect
165. #16837500C22semidirect
166. #16837500C22semidirect
167. #16837494C22semidirect
168. #16837494C22semidirect
169. SD16×Dic59C22semidirect
170. SD16×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837409C22semidirect
184. #16837404C22semidirect
185. #16837403C22semidirect
186. C2×#14273651C22semidirect
188. C2×#137×C59C22semidirect
189. C22×Q16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
195. C59×#464C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#451C22semidirect
201. C59×#441C22semidirect
202. C59×#435C22semidirect
883. #3270D59semidirect
911. C2×#137C2×D59semidirect
913. C22×Q16C2×D59semidirect
928. D4×Q8C2×D59semidirect
962. #497C2×D59semidirect
990. #470C2×D59semidirect
1016. #464C2×D59semidirect
1026. #462C2×D59semidirect
1032. #452C2×D59semidirect
1036. #451C2×D59semidirect
1037. #451C2×D59semidirect
1053. #441C2×D59semidirect
1067. #435C2×D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214380502
#214377172
#214371702
#214371612
#214369432
#214368612
#214363592
#214363052
#214361512
#214361232
#214360872
#214360592
#214357532
#214357212
#214356662
#214356072
#214355842
#214354982
#214354672
#214354442
#214351372
#214350942
#214350662
#214342682
#214342112
#214341712
#214335872
#214335652
C2×#168376262
#214332082
C59×#32702
#6197259