Finite Group Databasebeta

← #29481255

Subgroups — #29481255

Order 15104.

1856 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437171C211yesmaximal, characteristic, complemented
3#21437156C211yesmaximal, characteristic, complemented
4#21436932C211yesmaximal, characteristic, complemented
5#21436858C211yesmaximal, characteristic, complemented
6#21436364C211yesmaximal, characteristic, complemented
7#21436312C211yesmaximal, characteristic, complemented
8#21436147C211yesmaximal, characteristic, complemented
9#21436117C211yesmaximal, characteristic, complemented
10#21436087C211yesmaximal, characteristic, complemented
11#21436057C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435667C211yesmaximal, characteristic, complemented
15#21435662C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435492C211yesmaximal, characteristic, complemented
19#21435469C211yesmaximal, characteristic, complemented
20#21435443C211yesmaximal, characteristic, complemented
21#21435133C211yesmaximal, characteristic, complemented
22#21435099C211yesmaximal, characteristic, complemented
23#21435061C211yesmaximal, characteristic, complemented
24#21434263C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434172C211yesmaximal, characteristic, complemented
27#21433586C211yesmaximal, characteristic, complemented
28#21433564C211yesmaximal, characteristic, complemented
29C2×#16837621C211yesmaximal, characteristic, complemented
30#21433213C211yesmaximal, characteristic, complemented
31C59×#3514C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273757C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic
36C22×#11745672C2211yescharacteristic, complemented
37C22×#11745670C2211yescharacteristic
38#16838130C2211yescharacteristic, complemented
39#16838125C2211yescharacteristic, complemented
40#16838120—21no—
41#16838092C2211yescharacteristic
42#16838092C2211yescharacteristic, complemented
43#16838085—21no—
44#16838085—21no—
45D4×Dic118C2211yescharacteristic, complemented
46#16838061C2211yescharacteristic
47#16838061C2211yescharacteristic, complemented
48#16838056C2211yescharacteristic, complemented
49#16838051—21no—
50#16837959C2211yescharacteristic, complemented
51#16837956—21no—
52#16837936C2211yescharacteristic, complemented
53#16837936C2211yescharacteristic, complemented
54#16837932—21no—
55#16837932—21no—
56C4×#11745685C2211yescharacteristic, complemented
57C4×#11745687—21no—
58C2×C4×Dic118C2211yescharacteristic, complemented
59C2×C4×Dic118C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic
61#16837797C2211yescharacteristic, complemented
62#16837794C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic
64#16837784C2211yescharacteristic
65#16837784C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic
68#16837761C2211yescharacteristic
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic
71#16837756C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837723C2211yescharacteristic
76#16837718C2211yescharacteristic
77#16837713C2211yescharacteristic
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837706C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic
84#16837702C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837697C2211yescharacteristic, complemented
87#16837692C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837658C2211yescharacteristic, complemented
90#16837658C2211yescharacteristic, complemented
91#16837653C2211yescharacteristic
92#16837650C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic
94#16837646C2211yescharacteristic
95#16837646C2211yescharacteristic
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic
103#16837621C2211yescharacteristic
104#16837621C2211yescharacteristic
105#16837621C2211yescharacteristic
106#16837621C2211yescharacteristic
107#16837621C2211yescharacteristic
108#16837621C2211yescharacteristic, complemented
109#16837621C2211yescharacteristic, complemented
110#16837621C2211yescharacteristic, complemented
111#16837621C2211yescharacteristic, complemented
112#16837621C2211yescharacteristic, complemented
113#16837621C2211yescharacteristic, complemented
114#16837621C2211yescharacteristic, complemented
115#16837621C2211yescharacteristic, complemented
116#16837621C2211yescharacteristic, complemented
117#16837617C2211yescharacteristic
118#16837617C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic
120#16837614C2211yescharacteristic
121#16837614C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837612C2211yescharacteristic, complemented
125#16837609C2211yescharacteristic, complemented
126#16837609C2211yescharacteristic, complemented
127#16837607C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic
129#16837599C2211yescharacteristic
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837558C2211yescharacteristic, complemented
135#16837558C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic, complemented
137#16837557C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic
139#16837553C2211yescharacteristic
140#16837553C2211yescharacteristic
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic
144#16837541C2211yescharacteristic, complemented
145#16837540C2211yescharacteristic
146#16837540C2211yescharacteristic
147#16837536C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic
155#16837502C2211yescharacteristic
156#16837502C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745672C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, complemented
161C4×#11745670C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837459C2211yescharacteristic, complemented
169#16837459C2211yescharacteristic, complemented
170#16837455C2211yescharacteristic, complemented
171#16837426C2211yescharacteristic, complemented
172#16837426C2211yescharacteristic, complemented
173C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
174#16837411C2211yescharacteristic, complemented
175#16837407C2211yescharacteristic
176#16837403C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178C2×#14273651C2211yescharacteristic, complemented
179C2×#14273648C2211yescharacteristic
180C59×#559C2211yescharacteristic
181C59×#556C2211yescharacteristic
182C59×#555—21no—
183C59×#551—21no—
184C59×#551—21no—
185D4×Q8×C59C2211yescharacteristic
186C59×#548C2211yescharacteristic
187C59×#548C2211yescharacteristic
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#542—21no—
193C59×#538—21no—
194C59×#538—21no—
195C59×#532C2211yescharacteristic
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic
198C59×#529C2211yescharacteristic
199C2×#124×C59C2211yescharacteristic
200C2×#124×C59C2211yescharacteristic
201C59×#518—21no—
202C4×#41×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273758—42no—
208#14273757—42no—
209#14273757—42no—
210#14273753—42no—
211C2×#11745672—42no—
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745670—42no—
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745664C2311yescharacteristic
238C2×#11745664C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273726—21no—
246#14273725—21no—
247#14273722—21no—
248#14273722—21no—
249#14273721—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720—21no—
253#14273719—21no—
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273708—21no—
269#14273708—21no—
270#14273707—21no—
271#14273706—21no—
272#14273706C2311yescharacteristic
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273706C2311yescharacteristic
276#14273705—21no—
277#14273705—21no—
278#14273704—21no—
279#14273704—21no—
280#14273703—21no—
281#14273701C2311yescharacteristic
282#14273701C2311yescharacteristic
283#14273699—21no—
284#14273699—21no—
285C4×Dic118—21no—
286C4×Dic118—21no—
287C4×Dic118—21no—
288C4×Dic118—21no—
289C4×Dic118—21no—
290C4×Dic118C2311yescharacteristic
291C4×Dic118C2311yescharacteristic
292C4×Dic118C2311yescharacteristic
293C4×Dic118C2311yescharacteristic
294C4×Dic118C2311yescharacteristic
295C4×Dic118C2311yescharacteristic
296C4×Dic118C2311yescharacteristic
297C4×Dic118C2311yescharacteristic
298#14273692—21no—
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301D4×Dic59—21no—
302C4×C22⋊D59—21no—
303C4×C22⋊D59—21no—
304C4×C22⋊D59—21no—
305C4×C22⋊D59—21no—
306(C22⋊D59)⋊C4—21no—
307(C22⋊D59)⋊C4—21no—
308#14273686—21no—
309#14273686C2311yescharacteristic
310#14273685—21no—
311#14273684—21no—
312#14273684—21no—
313#14273684—21no—
314#14273683—21no—
315#14273683—21no—
316C2×C4⋊Dic59C2311yescharacteristic
317C2×C4⋊Dic59C2311yescharacteristic
318C2×Dic59⋊C4—21no—
319C2×Dic59⋊C4—21no—
320C2×C4×Dic59—21no—
321C2×C4×Dic59—21no—
322C42×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273651C2311yescharacteristic
352#14273651C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273648C2311yescharacteristic
368#14273648C2311yescharacteristic
369#14273648C2311yescharacteristic
370#14273648C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59D411yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C22×Q8×C59C2311yescharacteristic
389C22×Q8×C59C2311yescharacteristic
390C22×D4×C59—21no—
391C22×D4×C59C2311yescharacteristic
392C22×D4×C59C2311yescharacteristic
393C4⋊Q8×C59—21no—
394C4⋊Q8×C59C2311yescharacteristic
395#127×C59C2311yescharacteristic
396#126×C59—21no—
397#126×C59—21no—
398#126×C59—21no—
399#126×C59—21no—
400#126×C59—21no—
401#125×C59C2311yescharacteristic
402#124×C59—21no—
403#124×C59—21no—
404#124×C59—21no—
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59C2311yescharacteristic
410#124×C59C2311yescharacteristic
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#124×C59C2311yescharacteristic
414#124×C59C2311yescharacteristic
415#124×C59C2311yescharacteristic
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
430C22⋊Q8×C59C2311yescharacteristic
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#120×C59—21no—
442#120×C59—21no—
443#120×C59—21no—
444#120×C59—21no—
445C4×Q8×C59D411yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59D411yescharacteristic
460C4×D4×C59D411yescharacteristic
461C4×D4×C59D411yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59—21no—
472#117×C59D411yescharacteristic
473#117×C59D411yescharacteristic
474#117×C59D411yescharacteristic
475C2×C22⋊C4×C59—21no—
476C2×C22⋊C4×C59—21no—
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C42×C59C2311yescharacteristic
482C2×C42×C59C2311yescharacteristic
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486#41×C59—42no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59—41no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2×D411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—44no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2×D411yescharacteristic
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59C2×D411yescharacteristic
529C22×C4×C59C2×D411yescharacteristic
530C22×C4×C59C2×D411yescharacteristic
531C22×C4×C59C2×D411yescharacteristic
532C22×C4×C59C2×D411yescharacteristic
533C22×C4×C59C2×D411yescharacteristic
534C22×C4×C59C2411yescharacteristic
535C22×C4×C59C2411yescharacteristic
536C22×C4×C59C2411yescharacteristic
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544#11745687—44no—
545#11745685—22no—
546#11745685—41no—
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×Dic118—22no—
552C2×Dic118—22no—
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—41no—
557C2×Dic118—41no—
558C2×Dic118C2411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C42×C59—21no—
609C42×C59—21no—
610C42×C59—21no—
611C42×C59C2×D411yescharacteristic
612C42×C59C2×D411yescharacteristic
613C42×C59C2×D411yescharacteristic
614C42×C59C2×D411yescharacteristic
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C42×C59C2411yescharacteristic
620C42×C59C2411yescharacteristic
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626#11745672—22no—
627#11745672—22no—
628#11745672—22no—
629#11745672—41no—
630#11745672—41no—
631#11745672—41no—
632#11745672—41no—
633#11745672—41no—
634#11745672—41no—
635#11745671—41no—
636#11745671—41no—
637#11745671—41no—
638#11745670—22no—
639#11745670—22no—
640#11745670—22no—
641#11745670—41no—
642#11745670—41no—
643#11745670—41no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745669—41no—
648#11745669—41no—
649#11745669—41no—
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—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
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⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694#11745664—41no—
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—41no—
726Q8×C59—81no—
727Q8×C59—81no—
728D4×C59—22no—
729D4×C59—22no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—41no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746C2×C4×C59—22no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—41no—
759C2×C4×C59—41no—
760C2×C4×C59—41no—
761C2×C4×C59—41no—
762C2×C4×C59—41no—
763C2×C4×C59—42no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C2511yescharacteristic
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C2×Dic59—21no—
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—42no—
796D236—21no—
797D236—21no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801Dic118—21no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—42no—
807Dic118—42no—
808Dic118—42no—
809Dic118H(5,𝔽2)12yes—
810C59⋊C8—21no—
811C59⋊C8—21no—
812C59⋊C8—21no—
813C59⋊C8—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—162no—
837C22×C59—162no—
838C22×C59#57512yes—
839C22×C59C23×D411yescharacteristic
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—21no—
849C4×C59—21no—
850C4×C59—21no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59C2×H(5,𝔽2)11yescharacteristic
860C4×C59#58511yescharacteristic
861Dic59—22no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514D5911yescharacteristic, complemented
869#3482—591no—
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306—591no—
880#3277—591no—
881#3275—591no—
882#3270—591no—
883#3270—591no—
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989—591no—
899C2×C59—22no—
900C2×C59—41no—
901C2×C59—41no—
902C2×C59—81no—
903C2×C59—81no—
904C2×C59—81no—
905C2×C59#348811yescharacteristic
906C2×C59C2×#57511yescharacteristic
907C2×C59#358611yescharacteristic
908D59—81no—
909C2×#137—591no—
910C2×#137—591no—
911C2×#137—591no—
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16—591no—
914C22×SD16—591no—
915#559C2×D5911yescharacteristic
916#557—591no—
917#556—591no—
918#556—1181no—
919#556C2×D5911yescharacteristic
920#555—21no—
921#552—591no—
922#552—591no—
923#552—1181no—
924#552—1181no—
925#551—21no—
926#551—21no—
927D4×Q8—591no—
928D4×Q8C2×D5911yescharacteristic
929#548—591no—
930#548—591no—
931#548C2×D5911yescharacteristic
932#548C2×D5911yescharacteristic
933#547—591no—
934#547—1181no—
935#546—21no—
936#546C2×D5911yescharacteristic
937#546C2×D5911yescharacteristic
938D42C2×D5911yescharacteristic
939#542—21no—
940#538—21no—
941#538—21no—
942#533—591no—
943#533—1181no—
944#532C2×D5911yescharacteristic
945#529—591no—
946#529—591no—
947#529—1181no—
948#529—1181no—
949#529C2×D5911yescharacteristic
950#529C2×D5911yescharacteristic
951#529C2×D5911yescharacteristic
952C2×#124C2×D5911yescharacteristic
953C2×#124C2×D5911yescharacteristic
954#518—21no—
955C4×#41—591no—
956C4×#41—1181no—
957C4×#41C2×D5911yescharacteristic
958C2×C4×Q8—591no—
959C2×C4×Q8—591no—
960#497—591no—
961#497—591no—
962#497—591no—
963#496—591no—
964#495—591no—
965#495—591no—
966#491—591no—
967#490—591no—
968#489—591no—
969#489—591no—
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483—591no—
975#482—591no—
976#481—591no—
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476—591no—
988#470—591no—
989#470—591no—
990#470—591no—
991#469—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#467—591no—
997#466—591no—
998#465—591no—
999#465—591no—
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#452—591no—
1031#452—591no—
1032#452—591no—
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451—591no—
1037#451—591no—
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449—591no—
1043#449—591no—
1044#448—591no—
1045#448—591no—
1046#448—591no—
1047#447—591no—
1048#446—591no—
1049#446—591no—
1050#442—591no—
1051#441—591no—
1052#441—591no—
1053#441—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436—591no—
1063#436—591no—
1064#435—591no—
1065#435—591no—
1066#435—591no—
1067#435—591no—
1068#432—591no—
1069#432—591no—
1070#431—591no—
1071#423—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417—591no—
1078C2×#103—591no—
1079C2×#102—591no—
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—591no—
1082C2×#41—1181no—
1083C2×#41C22⋊D5911yescharacteristic
1084C2×#41C22×D5911yescharacteristic
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8C22×D5911yescharacteristic
1089C22×Q8C22×D5911yescharacteristic
1090C22×D4—21no—
1091C22×D4C22×D5911yescharacteristic
1092C22×D4C22×D5911yescharacteristic
1093#137—2362no—
1094#137—2362no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16—591no—
1103C2×Q16—591no—
1104C2×Q16—591no—
1105C2×Q16—591no—
1106C2×Q16—2362no—
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—2362no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×M16—591no—
1124C2×M16—591no—
1125C2×M16—591no—
1126C2×M16—591no—
1127C22×C8—591no—
1128C22×C8—591no—
1129C4⋊Q8—21no—
1130C4⋊Q8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—1181no—
1133C4⋊Q8—1181no—
1134C4⋊Q8C22×D5911yescharacteristic
1135#127C22×D5911yescharacteristic
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—591no—
1148#125—591no—
1149#125—1181no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125C22×D5911yescharacteristic
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—591no—
1163#124—591no—
1164#124—1181no—
1165#124—1181no—
1166#124C22×D5911yescharacteristic
1167#124C22×D5911yescharacteristic
1168#124C22×D5911yescharacteristic
1169#124C22×D5911yescharacteristic
1170#124C22×D5911yescharacteristic
1171#124C22×D5911yescharacteristic
1172#124C22×D5911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—591no—
1194C22⋊Q8—591no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8C22×D5911yescharacteristic
1203C22⋊Q8C22×D5911yescharacteristic
1204C22⋊Q8C22×D5911yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—591no—
1213#121—591no—
1214#121—1181no—
1215#121—1181no—
1216#121C22×D5911yescharacteristic
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—1181no—
1232C4×Q8—1181no—
1233C4×Q8—1181no—
1234C4×Q8—1181no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8C22⋊D5911yescharacteristic
1238C4×Q8C22×D5911yescharacteristic
1239C4×Q8C22×D5911yescharacteristic
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4C22⋊D5911yescharacteristic
1261C4×D4C22⋊D5911yescharacteristic
1262C4×D4C22⋊D5911yescharacteristic
1263C4×D4C22×D5911yescharacteristic
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—591no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117C22⋊D5911yescharacteristic
1282#117C22⋊D5911yescharacteristic
1283#117C22⋊D5911yescharacteristic
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—1181no—
1287C2×C4⋊C4—1181no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C42—1181no—
1295C2×C42—1181no—
1296C2×C42—1181no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97—591no—
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—21no—
1363C24—21no—
1364#41—42no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—1182no—
1370#41—2361no—
1371#41—2364no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—591no—
1379C2×Q8—591no—
1380C2×Q8—591no—
1381C2×Q8—1182no—
1382C2×Q8—1182no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—1181no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8C2×C22⋊D5911yescharacteristic
1389C2×Q8C23×D5911yescharacteristic
1390C2×Q8C23×D5911yescharacteristic
1391C2×Q8C23×D5911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—44no—
1406C2×D4—591no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4C2×C22⋊D5911yescharacteristic
1411C2×D4C2×C22⋊D5911yescharacteristic
1412C2×D4C2×C22⋊D5911yescharacteristic
1413C2×D4C23×D5911yescharacteristic
1414C2×D4C23×D5911yescharacteristic
1415C2×D4C23×D5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4C2×C22⋊D5911yescharacteristic
1431C22×C4C2×C22⋊D5911yescharacteristic
1432C22×C4C2×C22⋊D5911yescharacteristic
1433C22×C4C2×C22⋊D5911yescharacteristic
1434C22×C4C2×C22⋊D5911yescharacteristic
1435C22×C4C2×C22⋊D5911yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—1182no—
1440Q16—1182no—
1441Q16—1182no—
1442Q16—2361no—
1443Q16—2361no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—1182no—
1449SD16—1182no—
1450SD16—1182no—
1451SD16—2361no—
1452SD16—2361no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—2361no—
1461D8—2361no—
1462D8—2361no—
1463M16—2361no—
1464M16—2361no—
1465M16—2361no—
1466M16—2361no—
1467C2×C8—591no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—591no—
1471C2×C8—591no—
1472C2×C8—591no—
1473C2×C8—591no—
1474C2×C8—591no—
1475C2×C8—2361no—
1476C2×C8—2361no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—591no—
1488C4⋊C4—591no—
1489C4⋊C4—591no—
1490C4⋊C4—591no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4C2×C22⋊D5911yescharacteristic
1513C4⋊C4C2×C22⋊D5911yescharacteristic
1514C4⋊C4C2×C22⋊D5911yescharacteristic
1515C4⋊C4C2×C22⋊D5911yescharacteristic
1516C4⋊C4C2×C22⋊D5911yescharacteristic
1517C4⋊C4C2×C22⋊D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4C2×C22⋊D5911yescharacteristic
1557C22⋊C4C2×C22⋊D5911yescharacteristic
1558C22⋊C4C2×C22⋊D5911yescharacteristic
1559C22⋊C4C2×C22⋊D5911yescharacteristic
1560C22⋊C4C2×C22⋊D5911yescharacteristic
1561C22⋊C4C2×C22⋊D5911yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—1181no—
1566C42—1181no—
1567C42—1181no—
1568C42—1181no—
1569C42—1181no—
1570C42—1181no—
1571C42—1181no—
1572C42—1181no—
1573C42—1181no—
1574C42C2×C22⋊D5911yescharacteristic
1575C42C2×C22⋊D5911yescharacteristic
1576C42C2×C22⋊D5911yescharacteristic
1577C42C2×C22⋊D5911yescharacteristic
1578C42C2×C22⋊D5911yescharacteristic
1579C42C2×C22⋊D5911yescharacteristic
1580C42C23×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—1181no—
1594C23C22×C22⋊D5911yescharacteristic
1595C23C22×C22⋊D5911yescharacteristic
1596C23C22×C22⋊D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—41no—
1604Q8—81no—
1605Q8—81no—
1606Q8—592no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—2362no—
1613Q8—2362no—
1614Q8—2362no—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—41no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—1181no—
1634D4—1181no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—2362no—
1670C2×C4—2362no—
1671C2×C4—2362no—
1672C2×C4—2362no—
1673C2×C4—2362no—
1674C2×C4—2362no—
1675C2×C4—2362no—
1676C2×C4C22×C22⋊D5911yescharacteristic
1677C2×C4C22×C22⋊D5911yescharacteristic
1678C2×C4C22×C22⋊D5911yescharacteristic
1679C2×C4C22×C22⋊D5911yescharacteristic
1680C2×C4C22×C22⋊D5911yescharacteristic
1681C2×C4C22×C22⋊D5911yescharacteristic
1682C2×C4C22×C22⋊D5911yescharacteristic
1683C2×C4C22×C22⋊D5911yescharacteristic
1684C2×C4C22×C22⋊D5911yescharacteristic
1685C2×C4C22×C22⋊D5911yescharacteristic
1686C2×C4C22×C22⋊D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—1181no—
1689C8—1181no—
1690C8—1181no—
1691C8—1181no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—162no—
1714C22—162no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22#1683820012yes—
1719C22C23×C22⋊D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—1182no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4H(5,𝔽2)×D5911yescharacteristic
1744C4#1683823711yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—4721no—
1752C2#2143775811yescharacteristic
1753C2C2×#1683820011yescharacteristic
1754C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3514C2
socleC22×C59C23×D4
hypercenter#3514D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #21437711C2semidirect
2. #21437171C2semidirect
3. #21437156C2semidirect
4. #21436932C2semidirect
5. #21436858C2semidirect
6. #21436364C2semidirect
7. #21436312C2semidirect
8. #21436147C2semidirect
9. #21436117C2semidirect
10. #21436087C2semidirect
11. #21436057C2semidirect
12. #21435749C2semidirect
13. #21435723C2semidirect
14. #21435667C2semidirect
15. #21435662C2semidirect
16. #21435602C2semidirect
17. #21435587C2semidirect
18. #21435492C2semidirect
19. #21435469C2semidirect
20. #21435443C2semidirect
21. #21435133C2semidirect
22. #21435099C2semidirect
23. #21435061C2semidirect
24. #21434263C2semidirect
25. #21434199C2semidirect
26. #21434172C2semidirect
27. #21433586C2semidirect
28. #21433564C2semidirect
29. C2×#16837621C2semidirect
30. #21433213C2semidirect
31. C59×#3514C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273757C22semidirect
34. C2×#14273757C22semidirect
36. C22×#11745672C22semidirect
38. #16838130C22semidirect
39. #16838125C22semidirect
42. #16838092C22semidirect
45. D4×Dic118C22semidirect
47. #16838061C22semidirect
48. #16838056C22semidirect
50. #16837959C22semidirect
52. #16837936C22semidirect
53. #16837936C22semidirect
56. C4×#11745685C22semidirect
58. C2×C4×Dic118C22semidirect
59. C2×C4×Dic118C22semidirect
61. #16837797C22semidirect
62. #16837794C22semidirect
65. #16837784C22semidirect
66. #16837770C22semidirect
69. #16837761C22semidirect
71. #16837756C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
74. #16837730C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837706C22semidirect
81. #16837706C22semidirect
82. #16837706C22semidirect
84. #16837702C22semidirect
85. #16837699C22semidirect
86. #16837697C22semidirect
87. #16837692C22semidirect
88. #16837658C22semidirect
89. #16837658C22semidirect
90. #16837658C22semidirect
92. #16837650C22semidirect
96. #16837641C22semidirect
98. #16837633C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
108. #16837621C22semidirect
109. #16837621C22semidirect
110. #16837621C22semidirect
111. #16837621C22semidirect
112. #16837621C22semidirect
113. #16837621C22semidirect
114. #16837621C22semidirect
115. #16837621C22semidirect
116. #16837621C22semidirect
118. #16837617C22semidirect
121. #16837614C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837612C22semidirect
125. #16837609C22semidirect
126. #16837609C22semidirect
127. #16837607C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837562C22semidirect
133. #16837558C22semidirect
134. #16837558C22semidirect
135. #16837558C22semidirect
136. #16837557C22semidirect
137. #16837557C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
144. #16837541C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
153. #16837507C22semidirect
156. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
159. C4×#11745672C22semidirect
160. C4×#11745670C22semidirect
161. C4×#11745670C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837459C22semidirect
169. #16837459C22semidirect
170. #16837455C22semidirect
171. #16837426C22semidirect
172. #16837426C22semidirect
173. C2×C4⋊(C59⋊C8)C22semidirect
174. #16837411C22semidirect
176. #16837403C22semidirect
177. #16837403C22semidirect
178. C2×#14273651C22semidirect
868. #3514D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214371712
#214371562
#214369322
#214368582
#214363642
#214363122
#214361472
#214361172
#214360872
#214360572
#214357492
#214357232
#214356672
#214356622
#214356022
#214355872
#214354922
#214354692
#214354432
#214351332
#214350992
#214350612
#214342632
#214341992
#214341722
#214335862
#214335642
C2×#168376212
#214332132
C59×#35142
#6197259