Finite Group Databasebeta

← #29483838

Subgroups — #29483838

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C211yesmaximal, characteristic, complemented
2#21438162C211yesmaximal, characteristic, complemented
3#21437168C211yesmaximal, characteristic, complemented
4#21437113C211yesmaximal, characteristic, complemented
5#21436848C211yesmaximal, characteristic, complemented
6#21436808C211yesmaximal, characteristic, complemented
7#21436326C211yesmaximal, characteristic, complemented
8#21436290C211yesmaximal, characteristic, complemented
9#21436241C211yesmaximal, characteristic, complemented
10#21436215C211yesmaximal, characteristic, complemented
11#21436131C211yesmaximal, characteristic, complemented
12#21436121C211yesmaximal, characteristic, complemented
13#21435705C211yesmaximal, characteristic, complemented
14#21435694C211yesmaximal, characteristic, complemented
15#21435629C211yesmaximal, characteristic, complemented
16#21435625C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435540C211yesmaximal, characteristic, complemented
20#21435507C211yesmaximal, characteristic, complemented
21#21435494C211yesmaximal, characteristic, complemented
22#21435165C211yesmaximal, characteristic, complemented
23#21435113C211yesmaximal, characteristic, complemented
24#21434337C211yesmaximal, characteristic, complemented
25#21434297C211yesmaximal, characteristic, complemented
26#21434204C211yesmaximal, characteristic, complemented
27#21433631C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3224C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38#16838141—21no—
39#16838140—21no—
40#16838134C2211yescharacteristic, complemented
41#16838126C2211yescharacteristic, complemented
42#16838121C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838104C2211yescharacteristic, complemented
45#16838097—21no—
46#16838094C2211yescharacteristic, complemented
47#16838086—21no—
48#16838079—21no—
49#16838075—21no—
50#16838072C2211yescharacteristic, complemented
51#16838071C2211yescharacteristic
52#16838054C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic, complemented
56#16838041—21no—
57#16838040C2211yescharacteristic, complemented
58#16838037C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16838010C2211yescharacteristic, complemented
63#16838007C2211yescharacteristic, complemented
64#16838006C2211yescharacteristic
65#16838002—21no—
66#16837993—21no—
67#16837986—21no—
68#16837970C2211yescharacteristic
69#16837967—21no—
70#16837962—21no—
71#16837960—21no—
72#127×D59C2211yescharacteristic, complemented
73#16837934C2211yescharacteristic, complemented
74#16837931—21no—
75#16837931C2211yescharacteristic, complemented
76#16837930C2211yescharacteristic
77#126×D59—21no—
78#16837882C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837716C2211yescharacteristic, complemented
95#16837710C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837689C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837652C2211yescharacteristic
108#16837650C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837603C2211yescharacteristic, complemented
130#16837602C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837599C2211yescharacteristic, complemented
134#16837599C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837594C2211yescharacteristic, complemented
143#16837567C2211yescharacteristic, complemented
144#16837563C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837554C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×D472C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#486C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216#14273754—42no—
217#14273754—42no—
218#14273754—42no—
219#14273753—42no—
220#14273747—42no—
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237D8×D59—42no—
238C2×#11745664C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273725C2311yescharacteristic
245#14273724C2311yescharacteristic
246#14273723—21no—
247#14273723—21no—
248#14273723—21no—
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273721—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720D411yescharacteristic
264#14273719—21no—
265#14273719C2311yescharacteristic
266#14273718—21no—
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717D411yescharacteristic
271#14273716—21no—
272#14273716C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713D411yescharacteristic
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712D411yescharacteristic
280#14273711—21no—
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709D411yescharacteristic
292#14273708—21no—
293#14273708—21no—
294#14273707—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273705D411yescharacteristic
298#14273704—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703C2311yescharacteristic
302#14273703C2311yescharacteristic
303#14273701—21no—
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700D411yescharacteristic
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273696—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59—21no—
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×D236—21no—
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372#14273686—21no—
373#14273685—21no—
374#14273685—21no—
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273684C2311yescharacteristic
378#14273683—21no—
379#14273683—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59—21no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
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⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—82no—
528C2×C22⋊D59—82no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536#11745689—22no—
537#11745689—41no—
538#11745689—41no—
539#11745689—41no—
540#11745687—82no—
541D4×D59—22no—
542D4×D59—41no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—82no—
550D4×D59—82no—
551D4×D59—82no—
552#11745685—22no—
553#11745685—41no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
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×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577Q16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580SD16×C59—41no—
581SD16×C59—41no—
582D8×C59—41no—
583D8×C59—41no—
584D8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622#11745672—41no—
623#11745671—22no—
624#11745671—41no—
625#11745671—41no—
626#11745670—41no—
627#11745670—41no—
628#11745670—41no—
629#11745669—22no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—22no—
702D472—22no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738Q8×C59—81no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
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—81no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—41no—
769C22⋊D59—41no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—42no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—41no—
809D236—42no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236H(5,𝔽2)12yes—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829Dic118—21no—
830Dic118—21no—
831Dic118—41no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—162no—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—22no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C2×H(5,𝔽2)11yescharacteristic
887C4×C59#58511yescharacteristic
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521—591no—
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318—591no—
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267—591no—
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224D5911yescharacteristic, complemented
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—41no—
940D59—42no—
941D59—81no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C2×#135—591no—
948C22×D8—591no—
949#560—1181no—
950#560—1181no—
951#559—591no—
952#556—591no—
953#556—591no—
954#554—591no—
955#553—591no—
956#553—1181no—
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550—591no—
962#550—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969D42—591no—
970D42—591no—
971D42—591no—
972D42—1181no—
973#542C2×D5911yescharacteristic, complemented
974#541—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#539—1181no—
979#538—1181no—
980#535—591no—
981#535—1181no—
982#535C2×D5911yescharacteristic, complemented
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—591no—
987#529—591no—
988#529—591no—
989#529—1181no—
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
994#497—591no—
995#496—591no—
996#496—591no—
997#496C2×D5911yescharacteristic, complemented
998#495C2×D5911yescharacteristic, complemented
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490—591no—
1003#489C2×D5911yescharacteristic, complemented
1004#488—591no—
1005#486C2×D5911yescharacteristic, complemented
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478—591no—
1020#476—591no—
1021#474—591no—
1022#470—591no—
1023#469—591no—
1024#469—591no—
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466—591no—
1031#465—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464C2×D5911yescharacteristic, complemented
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463C2×D5911yescharacteristic, complemented
1046#461—591no—
1047#461—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460C2×D5911yescharacteristic, complemented
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459C2×D5911yescharacteristic, complemented
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452C2×D5911yescharacteristic, complemented
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450C2×D5911yescharacteristic, complemented
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449C2×D5911yescharacteristic, complemented
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447C2×D5911yescharacteristic, complemented
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#433—591no—
1103#433C2×D5911yescharacteristic, complemented
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C2×#41C22×D5911yescharacteristic
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4C22×D5911yescharacteristic
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—2362no—
1135C2×Q16—591no—
1136C2×Q16C22×D5911yescharacteristic
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—2362no—
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C22×C8—591no—
1165C22×C8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127—1181no—
1175#127C22×D5911yescharacteristic
1176#127C22×D5911yescharacteristic
1177#126—21no—
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#125—591no—
1191#125—591no—
1192#125—591no—
1193#125—591no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#124—21no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#124C22×D5911yescharacteristic
1206#123—21no—
1207#123—591no—
1208#123—591no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225C22⋊Q8—21no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8C22×D5911yescharacteristic
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4C22×D5911yescharacteristic
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97C22×D5911yescharacteristic
1394C4×C8—591no—
1395C4×C8C22×D5911yescharacteristic
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—41no—
1402#41—41no—
1403#41—1182no—
1404#41—1182no—
1405#41—4722no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—21no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8C23×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1182no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489Q16—41no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—1182no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—1182no—
1507D8—1182no—
1508D8—1182no—
1509D8—1182no—
1510D8—1182no—
1511D8—2361no—
1512D8—2361no—
1513M16—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—591no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—2361no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1560C4⋊C4D4×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—591no—
1629C23—591no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—81no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—592no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—2361no—
1691D4—2362no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2361no—
1734C2×C4—2361no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—162no—
1768C22—1181no—
1769C22—1181no—
1770C22—1182no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—9442no—
1776C22—9442no—
1777C22—9442no—
1778C22—9442no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823711yescharacteristic
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143776311yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3224C2
socleC22×C59C23×D4
hypercenter#3224D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21438422C2semidirect
2. #21438162C2semidirect
3. #21437168C2semidirect
4. #21437113C2semidirect
5. #21436848C2semidirect
6. #21436808C2semidirect
7. #21436326C2semidirect
8. #21436290C2semidirect
9. #21436241C2semidirect
10. #21436215C2semidirect
11. #21436131C2semidirect
12. #21436121C2semidirect
13. #21435705C2semidirect
14. #21435694C2semidirect
15. #21435629C2semidirect
16. #21435625C2semidirect
17. #21435575C2semidirect
18. #21435574C2semidirect
19. #21435540C2semidirect
20. #21435507C2semidirect
21. #21435494C2semidirect
22. #21435165C2semidirect
23. #21435113C2semidirect
24. #21434337C2semidirect
25. #21434297C2semidirect
26. #21434204C2semidirect
27. #21433631C2semidirect
28. #21433597C2semidirect
29. #21433573C2semidirect
30. #21433261C2semidirect
31. C59×#3224C2semidirect
32. C2×#14273754C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273747C22semidirect
37. C2×D8×D59C22semidirect
40. #16838134C22semidirect
41. #16838126C22semidirect
42. #16838121C22semidirect
43. #16838113C22semidirect
44. #16838104C22semidirect
46. #16838094C22semidirect
50. #16838072C22semidirect
52. #16838054C22semidirect
53. #16838049C22semidirect
55. #16838045C22semidirect
57. #16838040C22semidirect
60. D4×C22⋊D59C22semidirect
62. #16838010C22semidirect
63. #16838007C22semidirect
72. #127×D59C22semidirect
73. #16837934C22semidirect
75. #16837931C22semidirect
78. #16837882C22semidirect
79. #16837874C22semidirect
80. C4×#11745689C22semidirect
81. #16837795C22semidirect
83. #16837790C22semidirect
84. #16837773C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837758C22semidirect
89. #16837742C22semidirect
90. #16837725C22semidirect
91. #16837725C22semidirect
92. #16837724C22semidirect
93. #16837721C22semidirect
94. #16837716C22semidirect
95. #16837710C22semidirect
96. #16837709C22semidirect
97. #16837707C22semidirect
98. #16837704C22semidirect
99. #16837703C22semidirect
100. #16837702C22semidirect
101. #16837700C22semidirect
102. #16837700C22semidirect
103. #16837689C22semidirect
104. #16837679C22semidirect
105. #16837659C22semidirect
106. #16837653C22semidirect
108. #16837650C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837636C22semidirect
114. #16837633C22semidirect
115. #16837630C22semidirect
116. #16837628C22semidirect
117. #16837622C22semidirect
118. #16837621C22semidirect
119. #16837621C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837615C22semidirect
123. #16837614C22semidirect
124. #16837614C22semidirect
125. #16837614C22semidirect
126. #16837614C22semidirect
127. #16837605C22semidirect
128. #16837605C22semidirect
129. #16837603C22semidirect
130. #16837602C22semidirect
131. #16837600C22semidirect
132. #16837600C22semidirect
133. #16837599C22semidirect
134. #16837599C22semidirect
135. #16837598C22semidirect
136. #16837597C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837595C22semidirect
141. #16837594C22semidirect
142. #16837594C22semidirect
143. #16837567C22semidirect
144. #16837563C22semidirect
145. #16837563C22semidirect
146. #16837554C22semidirect
147. #16837554C22semidirect
148. #16837554C22semidirect
149. #16837551C22semidirect
150. #16837549C22semidirect
151. #16837549C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837514C22semidirect
161. #16837511C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837505C22semidirect
165. #16837504C22semidirect
166. #16837503C22semidirect
167. C4×#11745660C22semidirect
168. C4×D472C22semidirect
169. D8×Dic59C22semidirect
170. #16837482C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837403C22semidirect
186. #16837397C22semidirect
187. C2×#14273648C22semidirect
188. C59×#542C22semidirect
189. C59×#535C22semidirect
190. C59×#496C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
193. C59×#486C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#459C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#433C22semidirect
920. #3224D59semidirect
973. #542C2×D59semidirect
982. #535C2×D59semidirect
997. #496C2×D59semidirect
998. #495C2×D59semidirect
1003. #489C2×D59semidirect
1005. #486C2×D59semidirect
1037. #464C2×D59semidirect
1045. #463C2×D59semidirect
1054. #460C2×D59semidirect
1063. #459C2×D59semidirect
1067. #452C2×D59semidirect
1072. #450C2×D59semidirect
1076. #449C2×D59semidirect
1081. #447C2×D59semidirect
1103. #433C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384222
#214381622
#214371682
#214371132
#214368482
#214368082
#214363262
#214362902
#214362412
#214362152
#214361312
#214361212
#214357052
#214356942
#214356292
#214356252
#214355752
#214355742
#214355402
#214355072
#214354942
#214351652
#214351132
#214343372
#214342972
#214342042
#214336312
#214335972
#214335732
#214332612
C59×#32242
#6207959