Finite Group Databasebeta

← #29465724

Subgroups — #29465724

Order 15104.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437659C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436367C211yesmaximal, characteristic, complemented
4#21436365C211yesmaximal, characteristic, complemented
5#21436344C211yesmaximal, characteristic, complemented
6#21436342C211yesmaximal, characteristic, complemented
7#21436289C211yesmaximal, characteristic, complemented
8#21436287C211yesmaximal, characteristic, complemented
9#21436209C211yesmaximal, characteristic, complemented
10#21436207C211yesmaximal, characteristic, complemented
11#21436161C211yesmaximal, characteristic, complemented
12#21436159C211yesmaximal, characteristic, complemented
13#21436081C211yesmaximal, characteristic, complemented
14#21436004C211yesmaximal, characteristic, complemented
15#21436002C211yesmaximal, characteristic, complemented
16#21435981C211yesmaximal, characteristic, complemented
17#21435979C211yesmaximal, characteristic, complemented
18#21434481C211yesmaximal, characteristic, complemented
19#21434041C211yesmaximal, characteristic, complemented
20#21434031C211yesmaximal, characteristic, complemented
21#21433902C211yesmaximal, characteristic, complemented
22#21433721C211yesmaximal, characteristic, complemented
23#21433712C211yesmaximal, characteristic, complemented
24#21433585C211yesmaximal, characteristic, complemented
25#21433334C211yesmaximal, characteristic, complemented
26#21433327C211yesmaximal, characteristic, complemented
27#21432918C211yesmaximal, characteristic, complemented
28#21432829C211yesmaximal, characteristic, complemented
29#21432612C211yesmaximal, characteristic, complemented
30C2×#16837409C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic
35C2×#14273756C2211yescharacteristic
36C2×#14273751C2211yescharacteristic
37C22×#11745659C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic
39#16838126C2211yescharacteristic, complemented
40#16838117C2211yescharacteristic, complemented
41#16838109C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838104C2211yescharacteristic, complemented
44#16838087C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic, complemented
46#16838086—21no—
47#16838075—21no—
48#16838075—21no—
49#16838064C2211yescharacteristic
50#16838063C2211yescharacteristic
51#16838062—21no—
52#16838062C2211yescharacteristic
53#16838061—21no—
54#16838061C2211yescharacteristic
55#16838060—21no—
56#16838060C2211yescharacteristic
57#16838059C2211yescharacteristic
58#16838058—21no—
59#16838058C2211yescharacteristic
60#16838040—21no—
61#16837957C2211yescharacteristic
62#16837938—21no—
63#16837929—21no—
64#16837929—21no—
65#124×D59—21no—
66#124×D59C2211yescharacteristic
67#16837912C2211yescharacteristic
68#16837912C2211yescharacteristic
69C22⋊Q8×D59—21no—
70C22⋊Q8×D59C2211yescharacteristic
71#121×D59—21no—
72#121×D59C2211yescharacteristic
73#41×Dic59—21no—
74C4×#11745687C2211yescharacteristic
75C4×Q8×D59C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78C2×#14273685C2211yescharacteristic
79C2×#14273685C2211yescharacteristic
80#16837764C2211yescharacteristic, complemented
81#16837762C2211yescharacteristic, complemented
82#16837761C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic, complemented
99#16837718C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837707C2211yescharacteristic, complemented
105#16837694C2211yescharacteristic, complemented
106#16837688C2211yescharacteristic, complemented
107#16837687C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837644C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837621C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837560C2211yescharacteristic, complemented
134#16837559C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837544C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837539C2211yescharacteristic, complemented
142#16837539C2211yescharacteristic, complemented
143#16837510C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837496C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148#16837493C2211yescharacteristic, complemented
149SD16×Dic59C2211yescharacteristic, complemented
150#16837478C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837474C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic
158#16837443C2211yescharacteristic
159#16837443C2211yescharacteristic
160#16837424C2211yescharacteristic
161#16837409C2211yescharacteristic
162#16837409C2211yescharacteristic
163#16837409C2211yescharacteristic
164#16837409C2211yescharacteristic
165#16837409C2211yescharacteristic
166#16837409C2211yescharacteristic
167#16837409C2211yescharacteristic, complemented
168#16837409C2211yescharacteristic, complemented
169#16837409C2211yescharacteristic, complemented
170#16837409C2211yescharacteristic, complemented
171#16837405C2211yescharacteristic
172#16837405C2211yescharacteristic
173#16837405C2211yescharacteristic
174#16837404C2211yescharacteristic, complemented
175#16837403C2211yescharacteristic, complemented
176#16837401C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273650C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic
186#16837364C2211yescharacteristic
187#16837354C2211yescharacteristic
188C59×#548C2211yescharacteristic
189C59×#547C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209#41×D59—24no—
210#41×D59—42no—
211C22×Dic118—21no—
212C22×Dic118C2311yescharacteristic
213C2×Q8×D59—21no—
214C2×Q8×D59—21no—
215C2×Q8×D59—24no—
216C2×Q8×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59D411yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C22×C4×D59—21no—
226C22×C4×D59—21no—
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229#14273756—24no—
230#14273756—42no—
231#14273751—42no—
232C2×Dic236C2311yescharacteristic
233C2×Dic236C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745659—42no—
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C22×C59⋊C8C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273727C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273720—21no—
259#14273720—21no—
260#14273718—21no—
261#14273718C2311yescharacteristic
262#14273718C2311yescharacteristic
263#14273717—21no—
264#14273717—21no—
265#14273716—21no—
266#14273716—21no—
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715C2311yescharacteristic
270#14273714—21no—
271#14273714C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273711—21no—
281#14273711—21no—
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273707—21no—
287#14273707—21no—
288#14273707C2311yescharacteristic
289#14273707C2311yescharacteristic
290#14273707C2311yescharacteristic
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273701—21no—
309#14273701—21no—
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273698—21no—
320#14273698C2311yescharacteristic
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273695—21no—
324#14273695—21no—
325Q8×Dic59—21no—
326Q8×Dic59—21no—
327Q8×Dic59C2311yescharacteristic
328C4×Dic118—21no—
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331#14273692—21no—
332#14273692—21no—
333#14273692C2311yescharacteristic
334#14273692C2311yescharacteristic
335C4×D236—21no—
336C4×D236C2311yescharacteristic
337D4×Dic59—21no—
338D4×Dic59—21no—
339D4×Dic59—21no—
340D4×Dic59—21no—
341D4×Dic59—21no—
342D4×Dic59—21no—
343D4×Dic59D411yescharacteristic
344D4×Dic59C2311yescharacteristic
345#14273689—21no—
346#14273689D411yescharacteristic
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4D411yescharacteristic
358(C22⋊D59)⋊C4D411yescharacteristic
359#14273686—21no—
360#14273686—21no—
361#14273686—21no—
362#14273685—21no—
363#14273685—21no—
364#14273685—21no—
365#14273685—21no—
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273683—21no—
374C2×C4⋊Dic59C2311yescharacteristic
375C2×C4⋊Dic59C2311yescharacteristic
376C4⋊C4×D59—21no—
377C4⋊C4×D59—21no—
378C4⋊C4×D59D411yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C2×(C2×D59)⋊C4—21no—
381C2×(C2×D59)⋊C4—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59D411yescharacteristic
387C22⋊C4×D59D411yescharacteristic
388C2×C4×Dic59—21no—
389C2×C4×Dic59—21no—
390C2×C4×Dic59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59C2×D411yescharacteristic
489C23×D59C2×D411yescharacteristic
490#41×C59—22no—
491#41×C59—41no—
492#41×C59—44no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—41no—
533Q8×D59—22no—
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—41no—
539Q8×D59—41no—
540Q8×D59—44no—
541Q8×D59—44no—
542Q8×D59#4114yescomplemented
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—41no—
547#11745687—44no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—44no—
551D4×D59—42no—
552D4×D59—44no—
553#11745685—22no—
554#11745685—44no—
555#11745685—41no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—22no—
564C2×C4×D59—22no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—44no—
572C2×C4×D59—44no—
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2×D411yescharacteristic
578C2×C4×D59C2×D411yescharacteristic
579C2×C4×D59C2411yescharacteristic
580C2×C4×D59C2411yescharacteristic
581C2×C4×D59C2411yescharacteristic
582C2×Dic118—21no—
583C2×Dic118—22no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—41no—
590C2×Dic118—44no—
591C2×Dic118C2411yescharacteristic
592C2×Dic118C2411yescharacteristic
593C2×Dic118C2411yescharacteristic
594SD16×C59—22no—
595SD16×C59—41no—
596D8×C59—41no—
597M16×C59—41no—
598C2×C8×C59—41no—
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C2×C8×C59C2411yescharacteristic
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59C2×D411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C42×C59—21no—
623C42×C59C2411yescharacteristic
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59C2×D411yescharacteristic
634C22⋊Dic59C2×D411yescharacteristic
635#11745672—22no—
636#11745672—41no—
637#11745670—22no—
638#11745670—41no—
639#11745670—41no—
640#11745669—41no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—22no—
711Dic236—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—22no—
716#11745659—22no—
717#11745659—41no—
718#11745659—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—22no—
726C22×D59—22no—
727C22×D59—22no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—41no—
731C22×D59—41no—
732C22×D59—42no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59C22×D411yescharacteristic
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738Q8×C59—21no—
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—42no—
742Q8×C59—42no—
743Q8×C59C2×#4112yes—
744D4×C59—22no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—42no—
750D4×C59—42no—
751D4×C59—42no—
752D4×C59—42no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—42no—
764C2×C4×C59—42no—
765C2×C4×C59—42no—
766C2×C4×C59—42no—
767C2×C4×C59—42no—
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C2511yescharacteristic
773C22⋊D59—22no—
774C22⋊D59—41no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C2×Dic59—21no—
784C2×Dic59—22no—
785C2×Dic59—22no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—42no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803D236—21no—
804D236—21no—
805D236—41no—
806D236—42no—
807D236—42no—
808C4×D59—22no—
809C4×D59—22no—
810C4×D59—24no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—22no—
816C4×D59—22no—
817C4×D59—41no—
818C4×D59—41no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59C2×#4112yes—
826C4×D59H(5,𝔽2)12yes—
827Dic118—21no—
828Dic118—24no—
829Dic118—21no—
830Dic118—21no—
831Dic118—21no—
832Dic118—21no—
833Dic118—42no—
834Dic118—42no—
835Dic118—42no—
836Dic118—42no—
837Dic118—81no—
838Dic118C2×#4112yes—
839C8×C59—21no—
840C8×C59—21no—
841C8×C59—21no—
842C8×C59—21no—
843C59⋊C8—21no—
844C59⋊C8—21no—
845C59⋊C8—21no—
846C59⋊C8—21no—
847#61158—591nomaximal, Sylow
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—21no—
852C22×C59—21no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59#57512yes—
860C22×C59C23×D411yescharacteristic
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—44no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—82no—
874C2×D59—84no—
875C2×D59#54612yes—
876C4×C59—21no—
877C4×C59—22no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C22×#4111yescharacteristic
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888Dic59—21no—
889Dic59—22no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59#54612yes—
900#3475—591no—
901C2×#548—591no—
902#3327—591no—
903#3327—591no—
904#3326—591no—
905#3326—591no—
906#3321—591no—
907#3321—591no—
908#3316—591no—
909#3316—591no—
910#3313—591no—
911#3313—591no—
912#3308—591no—
913#3308D5911yescharacteristic, complemented
914#3301—591no—
915#3301—591no—
916#3300—591no—
917#3300—591no—
918#3140—591no—
919#3095—591no—
920#3094—591no—
921#3078—591no—
922#3056—591no—
923#3055—591no—
924#3040—591no—
925#3005—591no—
926#3004—591no—
927C4×#137—591no—
928D4×M16—591no—
929#2896—591no—
930C2×#419—591no—
931C2×C59—22no—
932C2×C59—41no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59C2×#54611yescharacteristic
936C2×C59C2×#57511yescharacteristic
937C2×C59#358611yescharacteristic
938D59—22no—
939D59—41no—
940D59—41no—
941D59—81no—
942C22×#41—591no—
943C23×Q8—591no—
944C2×#137—591no—
945C2×#137—591no—
946C2×AGL(1,ℤ/8)—591no—
947C22×M16—591no—
948C22×M16—591no—
949#556—591no—
950#555—591no—
951#554—591no—
952#553—591no—
953#553—591no—
954#552—591no—
955#552—591no—
956#552—1181no—
957#551—1181no—
958#551—1181no—
959#548—591no—
960#548—591no—
961#548—591no—
962#548—591no—
963#548—591no—
964#548—591no—
965#548—591no—
966#548—1181no—
967#548—1181no—
968#548—1181no—
969#548—1181no—
970#548C2×D5911yescharacteristic
971#547C2×D5911yescharacteristic, complemented
972#546—1181no—
973#533—591no—
974#529—1181no—
975#529—1181no—
976#529—1181no—
977C2×#124—591no—
978C2×#124—1181no—
979#525—591no—
980#525—591no—
981C2×C22⋊Q8—591no—
982C2×C22⋊Q8—1181no—
983C2×#121—591no—
984C2×#121—1181no—
985C4×#41—591no—
986C4×#41—1181no—
987C2×C4×Q8—591no—
988C2×C4×D4—591no—
989C2×C4×D4—1181no—
990C2×#117—591no—
991C2×#117—591no—
992#489—591no—
993#489—591no—
994#489—591no—
995#489C2×D5911yescharacteristic, complemented
996#488—591no—
997#488—591no—
998#488—591no—
999#488—591no—
1000#485—591no—
1001#485—591no—
1002#485—591no—
1003#485—591no—
1004#484—591no—
1005#484C2×D5911yescharacteristic, complemented
1006#483—591no—
1007#483—591no—
1008#482—591no—
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#481—591no—
1013#481—591no—
1014#480—591no—
1015#480C2×D5911yescharacteristic, complemented
1016#479—591no—
1017#479—591no—
1018#479—591no—
1019#479—591no—
1020#477—591no—
1021#477C2×D5911yescharacteristic, complemented
1022#475—591no—
1023#475—591no—
1024#470—591no—
1025#470—591no—
1026#469—591no—
1027#469—591no—
1028#468—591no—
1029#468—591no—
1030#468—591no—
1031#468C2×D5911yescharacteristic, complemented
1032#467—591no—
1033#467—591no—
1034#466—591no—
1035#466C2×D5911yescharacteristic, complemented
1036#465—591no—
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#464—591no—
1041#464—591no—
1042#464—591no—
1043#464—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#451—591no—
1054#451—591no—
1055#451—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449C2×D5911yescharacteristic, complemented
1060#448—591no—
1061#448—591no—
1062#448—591no—
1063#448C2×D5911yescharacteristic, complemented
1064#441—591no—
1065#441—591no—
1066#440—591no—
1067#440C2×D5911yescharacteristic, complemented
1068C4×Q16—591no—
1069C4×Q16—591no—
1070C4×SD16—591no—
1071C4×SD16—591no—
1072#436—591no—
1073#436—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#435C2×D5911yescharacteristic, complemented
1078C8×D4—591no—
1079C8×D4—591no—
1080#428—591no—
1081#428—591no—
1082#428—591no—
1083#423—591no—
1084#419—591no—
1085#419—591no—
1086#419—591no—
1087#419—591no—
1088#419—591no—
1089#419—591no—
1090#419—591no—
1091#419—591no—
1092#419—591no—
1093#419—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417C2×D5911yescharacteristic, complemented
1102#416—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106C2×#103—591no—
1107C2×#103—591no—
1108C2×#103—591no—
1109C2×#103C2×D5911yescharacteristic, complemented
1110#407—591no—
1111#407—591no—
1112C4×M16—591no—
1113C59#6115811yescharacteristic, complemented, Sylow
1114C2×#41—21no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41—1184no—
1122C2×#41—2362no—
1123C2×#41C22×D5911yescharacteristic
1124C22×Q8—591no—
1125C22×Q8—591no—
1126C22×Q8—591no—
1127C22×Q8—591no—
1128C22×Q8—591no—
1129C22×Q8—1181no—
1130C22×Q8—1181no—
1131C22×Q8—1181no—
1132C22×Q8—1184no—
1133C22×Q8—2362no—
1134C22×Q8C22×D5911yescharacteristic
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143#137—1184no—
1144#137—2362no—
1145AGL(1,ℤ/8)—2362no—
1146C2×Q16—591no—
1147C2×Q16—591no—
1148C2×Q16—591no—
1149C2×Q16—591no—
1150C2×SD16—591no—
1151C2×SD16—591no—
1152C2×SD16—591no—
1153C2×SD16—591no—
1154C2×SD16C22×D5911yescharacteristic
1155C2×SD16C22×D5911yescharacteristic
1156C2×D8—591no—
1157C2×D8C22×D5911yescharacteristic
1158C2×M16—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C2×M16—591no—
1165C2×M16—2362no—
1166C2×M16—2362no—
1167C2×M16C22×D5911yescharacteristic
1168C22×C8—591no—
1169C22×C8—591no—
1170C22×C8—591no—
1171C22×C8C22×D5911yescharacteristic
1172C4⋊Q8—591no—
1173C4⋊Q8C22×D5911yescharacteristic
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#126—1181no—
1178#126—1181no—
1179#126—1181no—
1180#125—591no—
1181#125—591no—
1182#125—1181no—
1183#125—1181no—
1184#125—1181no—
1185#124—21no—
1186#124—591no—
1187#124—591no—
1188#124—591no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124C22×D5911yescharacteristic
1202#123—21no—
1203#123—21no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8C22×D5911yescharacteristic
1233#121—21no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121C22×D5911yescharacteristic
1252#121C22×D5911yescharacteristic
1253#121C22×D5911yescharacteristic
1254#120—1181no—
1255#120—1181no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294#117—591no—
1295#117—591no—
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308#117—1181no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—591no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4C22×D5911yescharacteristic
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—591no—
1318C2×C22⋊C4—591no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C42—591no—
1326C2×C42—1181no—
1327C2×C42—1181no—
1328C2×C42—1181no—
1329C2×C42—1181no—
1330#107—591no—
1331#107—591no—
1332#107—591no—
1333#107C22×D5911yescharacteristic
1334#107C22×D5911yescharacteristic
1335#107C22×D5911yescharacteristic
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8C22×D5911yescharacteristic
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
1368#103C22×D5911yescharacteristic
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384#102C22×D5911yescharacteristic
1385#102C22×D5911yescharacteristic
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390C22⋊C8—591no—
1391C22⋊C8—591no—
1392C22⋊C8C22×D5911yescharacteristic
1393C22⋊C8C22×D5911yescharacteristic
1394#97—591no—
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—591no—
1399C24—591no—
1400C24—1181no—
1401#41—22no—
1402#41—41no—
1403#41—44no—
1404#41—1182no—
1405#41—1182no—
1406#41—1182no—
1407#41—1182no—
1408#41—1182no—
1409#41—2361no—
1410#41—2364no—
1411#41—2361no—
1412#41—2364no—
1413#41—2361no—
1414C2×Q8—21no—
1415C2×Q8—21no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—594no—
1419C2×Q8—591no—
1420C2×Q8—591no—
1421C2×Q8—591no—
1422C2×Q8—1181no—
1423C2×Q8—1181no—
1424C2×Q8—1181no—
1425C2×Q8—1181no—
1426C2×Q8—1182no—
1427C2×Q8—1182no—
1428C2×Q8—1182no—
1429C2×Q8—1182no—
1430C2×Q8—1181no—
1431C2×Q8—1181no—
1432C2×Q8—1182no—
1433C2×Q8—1182no—
1434C2×Q8—2361no—
1435C2×Q8—2364no—
1436C2×Q8—2364no—
1437C2×Q8—2361no—
1438C2×Q8—2361no—
1439C2×Q8—2364no—
1440C2×Q8C23×D5911yescharacteristic
1441C2×Q8C23×D5911yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—591no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1182no—
1453C2×D4—1182no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—2364no—
1463C2×D4—2362no—
1464C2×D4—2364no—
1465C2×D4D4×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—591no—
1482C22×C4—591no—
1483C22×C4—591no—
1484C22×C4—1182no—
1485C22×C4—1182no—
1486C22×C4—1182no—
1487C22×C4—1182no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—2364no—
1502C22×C4—2364no—
1503C22×C4C23×D5911yescharacteristic
1504C22×C4C23×D5911yescharacteristic
1505Q16—1182no—
1506Q16—1182no—
1507Q16—2361no—
1508Q16—2361no—
1509SD16—22no—
1510SD16—41no—
1511SD16—1182no—
1512SD16—2361no—
1513SD16—2361no—
1514SD16—2361no—
1515D8—41no—
1516D8—2361no—
1517M16—41no—
1518M16—1182no—
1519M16—1182no—
1520M16—1182no—
1521M16—1182no—
1522M16—2361no—
1523M16—2361no—
1524M16—2361no—
1525C2×C8—41no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—2361no—
1531C2×C8—2361no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4D4×D5911yescharacteristic
1570C4⋊C4C23×D5911yescharacteristic
1571C4⋊C4C23×D5911yescharacteristic
1572C4⋊C4C23×D5911yescharacteristic
1573C4⋊C4C23×D5911yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—591no—
1582C22⋊C4—591no—
1583C22⋊C4—591no—
1584C22⋊C4—591no—
1585C22⋊C4—591no—
1586C22⋊C4—591no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4D4×D5911yescharacteristic
1614C22⋊C4D4×D5911yescharacteristic
1615C42—21no—
1616C42—591no—
1617C42—591no—
1618C42—591no—
1619C42—1181no—
1620C42—1181no—
1621C42—1181no—
1622C42—1181no—
1623C42—1181no—
1624C42—1181no—
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42—1181no—
1631C42C23×D5911yescharacteristic
1632C23—21no—
1633C23—21no—
1634C23—591no—
1635C23—591no—
1636C23—591no—
1637C23—1182no—
1638C23—1182no—
1639C23—1182no—
1640C23—1181no—
1641C23—2361no—
1642C23—2361no—
1643C23—2361no—
1644C23—2362no—
1645C23—2362no—
1646C23—2362no—
1647C23C2×D4×D5911yescharacteristic
1648C23C2×D4×D5911yescharacteristic
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—42no—
1653Q8—42no—
1654Q8—592no—
1655Q8—1184no—
1656Q8—1181no—
1657Q8—1181no—
1658Q8—1181no—
1659Q8—1181no—
1660Q8—1181no—
1661Q8—4721no—
1662Q8—2362no—
1663Q8—2362no—
1664Q8—2362no—
1665Q8—2362no—
1666Q8#41×D5912yes—
1667D4—22no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—1182no—
1677D4—1181no—
1678D4—1181no—
1679D4—4721no—
1680D4—4721no—
1681D4—2361no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2361no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—591no—
1707C2×C4—592no—
1708C2×C4—592no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1182no—
1716C2×C4—1182no—
1717C2×C4—1184no—
1718C2×C4—1182no—
1719C2×C4—1182no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4C2×D4×D5911yescharacteristic
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C24×D5911yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—1181no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—592no—
1770C22—1181no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—1181no—
1778C22—4722no—
1779C22—4724no—
1780C22—2364no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22#1683819812yes—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—592no—
1797C4—1181no—
1798C4—1181no—
1799C4—1182no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#41×D5911yescharacteristic
1809C4H(5,𝔽2)×D5911yescharacteristic
1810C2—22no—
1811C2—41no—
1812C2—81no—
1813C2—81no—
1814C2—1182no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#546×D5911yescharacteristic
1819C2C2×#1683819811yescharacteristic
1820C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61158
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437659C2semidirect
2. #548×D59C2semidirect
3. #21436367C2semidirect
4. #21436365C2semidirect
5. #21436344C2semidirect
6. #21436342C2semidirect
7. #21436289C2semidirect
8. #21436287C2semidirect
9. #21436209C2semidirect
10. #21436207C2semidirect
11. #21436161C2semidirect
12. #21436159C2semidirect
13. #21436081C2semidirect
14. #21436004C2semidirect
15. #21436002C2semidirect
16. #21435981C2semidirect
17. #21435979C2semidirect
18. #21434481C2semidirect
19. #21434041C2semidirect
20. #21434031C2semidirect
21. #21433902C2semidirect
22. #21433721C2semidirect
23. #21433712C2semidirect
24. #21433585C2semidirect
25. #21433334C2semidirect
26. #21433327C2semidirect
27. #21432918C2semidirect
28. #21432829C2semidirect
29. #21432612C2semidirect
30. C2×#16837409C2semidirect
31. C59×#3308C2semidirect
39. #16838126C22semidirect
40. #16838117C22semidirect
41. #16838109C22semidirect
42. #16838104C22semidirect
43. #16838104C22semidirect
44. #16838087C22semidirect
45. #16838087C22semidirect
80. #16837764C22semidirect
81. #16837762C22semidirect
82. #16837761C22semidirect
83. #16837758C22semidirect
84. #16837758C22semidirect
85. #16837755C22semidirect
86. #16837755C22semidirect
87. #16837745C22semidirect
88. #16837745C22semidirect
89. #16837741C22semidirect
90. #16837741C22semidirect
91. #16837737C22semidirect
92. #16837733C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837725C22semidirect
97. #16837725C22semidirect
98. #16837721C22semidirect
99. #16837718C22semidirect
100. #16837715C22semidirect
101. #16837708C22semidirect
102. #16837708C22semidirect
103. #16837707C22semidirect
104. #16837707C22semidirect
105. #16837694C22semidirect
106. #16837688C22semidirect
107. #16837687C22semidirect
108. #16837660C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837652C22semidirect
112. #16837649C22semidirect
113. #16837647C22semidirect
114. #16837646C22semidirect
115. #16837644C22semidirect
116. #16837642C22semidirect
117. #16837636C22semidirect
118. #16837631C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837625C22semidirect
124. #16837623C22semidirect
125. #16837621C22semidirect
126. #16837619C22semidirect
127. #16837617C22semidirect
128. #16837615C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837560C22semidirect
134. #16837559C22semidirect
135. #16837559C22semidirect
136. #16837558C22semidirect
137. #16837546C22semidirect
138. #16837545C22semidirect
139. #16837544C22semidirect
140. #16837540C22semidirect
141. #16837539C22semidirect
142. #16837539C22semidirect
143. #16837510C22semidirect
144. #16837507C22semidirect
145. #16837502C22semidirect
146. #16837496C22semidirect
147. #16837494C22semidirect
148. #16837493C22semidirect
149. SD16×Dic59C22semidirect
150. #16837478C22semidirect
151. #16837477C22semidirect
152. #16837475C22semidirect
153. #16837474C22semidirect
154. #16837472C22semidirect
155. C8×C22⋊D59C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
167. #16837409C22semidirect
168. #16837409C22semidirect
169. #16837409C22semidirect
170. #16837409C22semidirect
174. #16837404C22semidirect
175. #16837403C22semidirect
176. #16837401C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837395C22semidirect
181. #16837395C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273651C22semidirect
184. C2×#14273650C22semidirect
189. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
542. Q8×D59#41semidirect
913. #3308D59semidirect
971. #547C2×D59semidirect
995. #489C2×D59semidirect
1005. #484C2×D59semidirect
1015. #480C2×D59semidirect
1021. #477C2×D59semidirect
1031. #468C2×D59semidirect
1035. #466C2×D59semidirect
1047. #463C2×D59semidirect
1059. #449C2×D59semidirect
1063. #448C2×D59semidirect
1067. #440C2×D59semidirect
1077. #435C2×D59semidirect
1101. #417C2×D59semidirect
1109. C2×#103C2×D59semidirect
1113. C59#61158semidirect

Maximal subgroups

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

subgroupindex
#214376592
#548×D592
#214363672
#214363652
#214363442
#214363422
#214362892
#214362872
#214362092
#214362072
#214361612
#214361592
#214360812
#214360042
#214360022
#214359812
#214359792
#214344812
#214340412
#214340312
#214339022
#214337212
#214337122
#214335852
#214333342
#214333272
#214329182
#214328292
#214326122
C2×#168374092
C59×#33082
#6115859