Finite Group Databasebeta

← #29483983

Subgroups — #29483983

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438040C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437145C211yesmaximal, characteristic, complemented
4#21436873C211yesmaximal, characteristic, complemented
5#21436843C211yesmaximal, characteristic, complemented
6#21436401C211yesmaximal, characteristic, complemented
7#21436364C211yesmaximal, characteristic, complemented
8#21436267C211yesmaximal, characteristic, complemented
9#21436192C211yesmaximal, characteristic, complemented
10#21436102C211yesmaximal, characteristic, complemented
11#21436087C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435696C211yesmaximal, characteristic, complemented
14#21435637C211yesmaximal, characteristic, complemented
15#21435622C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435552C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435463C211yesmaximal, characteristic, complemented
21#21435205C211yesmaximal, characteristic, complemented
22#21435157C211yesmaximal, characteristic, complemented
23#21435133C211yesmaximal, characteristic, complemented
24#21434352C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434191C211yesmaximal, characteristic, complemented
27#21433642C211yesmaximal, characteristic, complemented
28#21433604C211yesmaximal, characteristic, complemented
29#21433556C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3554C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×#14273752C2211yescharacteristic
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C22×#11745671C2211yescharacteristic
38#16838137C2211yescharacteristic
39#16838112C2211yescharacteristic
40#16838103—21no—
41#16838098C2211yescharacteristic
42#16838092C2211yescharacteristic
43#16838079—21no—
44#16838077—21no—
45#16838056C2211yescharacteristic
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic
48#16838041—21no—
49D4×D236C2211yescharacteristic
50#16838023C2211yescharacteristic
51#16838007C2211yescharacteristic
52#16838000—21no—
53#16837986—21no—
54#16837936C2211yescharacteristic
55#16837910—21no—
56#123×D59—21no—
57#16837882C2211yescharacteristic
58#16837876C2211yescharacteristic
59C2×C4×D236C2211yescharacteristic
60#16837794C2211yescharacteristic, complemented
61#16837794C2211yescharacteristic, complemented
62#16837792C2211yescharacteristic
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837776C2211yescharacteristic
66#16837770C2211yescharacteristic, complemented
67#16837770C2211yescharacteristic, complemented
68#16837766C2211yescharacteristic, complemented
69#16837761C2211yescharacteristic, complemented
70#16837756C2211yescharacteristic, complemented
71#16837752C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837735C2211yescharacteristic, complemented
75#16837735C2211yescharacteristic, complemented
76#16837723C2211yescharacteristic, complemented
77#16837713C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837709C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837697C2211yescharacteristic, complemented
83#16837694C2211yescharacteristic, complemented
84#16837689C2211yescharacteristic, complemented
85#16837682C2211yescharacteristic, complemented
86#16837679C2211yescharacteristic
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837658C2211yescharacteristic, complemented
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic
92#16837650C2211yescharacteristic
93#16837650C2211yescharacteristic
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic
98#16837636C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic
108#16837614C2211yescharacteristic
109#16837614C2211yescharacteristic
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic, complemented
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837609C2211yescharacteristic, complemented
117#16837609C2211yescharacteristic, complemented
118#16837604C2211yescharacteristic
119#16837604C2211yescharacteristic
120#16837604C2211yescharacteristic
121#16837604C2211yescharacteristic
122#16837604C2211yescharacteristic, complemented
123#16837604C2211yescharacteristic, complemented
124#16837604C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic
127#16837597C2211yescharacteristic
128#16837594C2211yescharacteristic
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic
134#16837558C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic
136#16837552C2211yescharacteristic
137#16837552C2211yescharacteristic
138#16837547C2211yescharacteristic
139#16837547C2211yescharacteristic
140#16837547C2211yescharacteristic
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic
144#16837541C2211yescharacteristic
145#16837541C2211yescharacteristic, complemented
146#16837541C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837502C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic
153#16837500C2211yescharacteristic
154#16837500C2211yescharacteristic
155#16837500C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic
160C4×#11745669C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837411C2211yescharacteristic, complemented
175#16837403C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837398C2211yescharacteristic, complemented
179C2×#14273651C2211yescharacteristic, complemented
180C59×#562—21no—
181C59×#562—21no—
182C59×#559—21no—
183C59×#559C2211yescharacteristic, complemented
184C59×#557C2211yescharacteristic, complemented
185C59×#554—21no—
186C59×#550C2211yescharacteristic, complemented
187D4×Q8×C59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic
191C59×#547C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#542C2211yescharacteristic, complemented
194C59×#542C2211yescharacteristic, complemented
195C59×#540—21no—
196C59×#539—21no—
197C59×#539—21no—
198C59×#536C2211yescharacteristic, complemented
199C59×#536C2211yescharacteristic, complemented
200C59×#533C2211yescharacteristic, complemented
201C59×#532C2211yescharacteristic, complemented
202C59×#529C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209#14273758—42no—
210#14273752—42no—
211#14273752—42no—
212#14273752—42no—
213#14273747—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671—42no—
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273724C2311yescharacteristic
247#14273722—21no—
248#14273722—21no—
249#14273721—21no—
250#14273720—21no—
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273717—21no—
254#14273716—21no—
255#14273715C2311yescharacteristic
256#14273715C2311yescharacteristic
257#14273713—21no—
258#14273712—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273707—21no—
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273705—21no—
274#14273705—21no—
275#14273705—21no—
276#14273703—21no—
277#14273702—21no—
278#14273701C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273700—21no—
283#14273700—21no—
284#14273700—21no—
285#14273700—21no—
286#14273699—21no—
287#14273697—21no—
288#14273697—21no—
289#14273695—21no—
290#14273695—21no—
291C4×Dic118C2311yescharacteristic
292C4×Dic118C2311yescharacteristic
293C4×D236—21no—
294C4×D236—21no—
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301C4×D236C2311yescharacteristic
302C4×D236C2311yescharacteristic
303#14273689—21no—
304#14273689—21no—
305#14273689—21no—
306C4×C22⋊D59—21no—
307(C22⋊D59)⋊C4—21no—
308(C22⋊D59)⋊C4—21no—
309(C22⋊D59)⋊C4—21no—
310#14273686C2311yescharacteristic
311#14273685—21no—
312#14273684—21no—
313#14273683—21no—
314C2×C4⋊Dic59C2311yescharacteristic
315C2×C4⋊Dic59C2311yescharacteristic
316C4⋊C4×D59—21no—
317C4⋊C4×D59—21no—
318C2×(C2×D59)⋊C4—21no—
319C22⋊C4×D59—21no—
320C22⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
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#14273651C2311yescharacteristic
354#14273651C2311yescharacteristic
355#14273651C2311yescharacteristic
356#14273651C2311yescharacteristic
357#14273650C2311yescharacteristic
358#14273650C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
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×C59C2311yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C2×#41×C59C2311yescharacteristic
388C2×#41×C59C2311yescharacteristic
389C22×Q8×C59C2311yescharacteristic
390C22×Q8×C59C2311yescharacteristic
391C4⋊Q8×C59—21no—
392C4⋊Q8×C59C2311yescharacteristic
393C4⋊Q8×C59C2311yescharacteristic
394C4⋊Q8×C59C2311yescharacteristic
395C4⋊Q8×C59C2311yescharacteristic
396C4⋊Q8×C59C2311yescharacteristic
397#127×C59—21no—
398#127×C59C2311yescharacteristic
399#126×C59—21no—
400#126×C59—21no—
401#126×C59D411yescharacteristic
402#126×C59D411yescharacteristic
403#125×C59—21no—
404#125×C59—21no—
405#125×C59—21no—
406#125×C59—21no—
407#125×C59D411yescharacteristic
408#124×C59—21no—
409#124×C59—21no—
410#124×C59—21no—
411#124×C59—21no—
412#124×C59—21no—
413#124×C59D411yescharacteristic
414#124×C59C2311yescharacteristic
415#124×C59C2311yescharacteristic
416#124×C59C2311yescharacteristic
417#124×C59C2311yescharacteristic
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59—21no—
422#123×C59—21no—
423#123×C59—21no—
424#123×C59—21no—
425#123×C59—21no—
426#123×C59—21no—
427#123×C59—21no—
428#123×C59—21no—
429#123×C59—21no—
430#123×C59D411yescharacteristic
431#123×C59D411yescharacteristic
432C22⋊Q8×C59—21no—
433C22⋊Q8×C59—21no—
434C22⋊Q8×C59—21no—
435C22⋊Q8×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59—21no—
440C22⋊Q8×C59—21no—
441C22⋊Q8×C59—21no—
442C22⋊Q8×C59—21no—
443C22⋊Q8×C59D411yescharacteristic
444C22⋊Q8×C59C2311yescharacteristic
445C22⋊Q8×C59C2311yescharacteristic
446C22⋊Q8×C59C2311yescharacteristic
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59—21no—
453#121×C59—21no—
454#121×C59—21no—
455#121×C59—21no—
456#121×C59D411yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59—21no—
460C4×Q8×C59—21no—
461C4×Q8×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478#117×C59—21no—
479#117×C59C2311yescharacteristic
480#117×C59C2311yescharacteristic
481C2×C4⋊C4×C59—21no—
482C2×C4⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—41no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2×D411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59C2×D411yescharacteristic
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2×D411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C22×C4×C59—21no—
520C22×C4×C59—21no—
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×C59C2×D411yescharacteristic
528C22×C4×C59C2×D411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C22×C4×C59C2411yescharacteristic
531C22×C4×C59C2411yescharacteristic
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539#11745687—82no—
540D4×D59—82no—
541#11745685—22no—
542#11745685—41no—
543C2×D236—22no—
544C2×D236—22no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—82no—
564C2×Dic118—21no—
565C2×Dic118C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59C2×D411yescharacteristic
612C22⋊C4×C59C2×D411yescharacteristic
613C22⋊C4×C59C2×D411yescharacteristic
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C42×C59—21no—
622C42×C59—21no—
623C42×C59—21no—
624C42×C59—21no—
625C42×C59C2×D411yescharacteristic
626C42×C59C2×D411yescharacteristic
627C42×C59C2411yescharacteristic
628C42×C59C2411yescharacteristic
629C42×C59C2411yescharacteristic
630C42×C59C2411yescharacteristic
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634#11745672—41no—
635#11745672—41no—
636#11745672—41no—
637#11745672—41no—
638#11745671—22no—
639#11745671—22no—
640#11745671—22no—
641#11745671—22no—
642#11745671—41no—
643#11745671—41no—
644#11745671—41no—
645#11745671—41no—
646#11745671—41no—
647#11745671—41no—
648#11745671—41no—
649#11745671—41no—
650#11745670—41no—
651#11745670—41no—
652#11745669—22no—
653#11745669—22no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—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×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—41no—
729Q8×C59—81no—
730Q8×C59—81no—
731Q8×C59—81no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—41no—
737D4×C59—41no—
738D4×C59—41no—
739D4×C59—42no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
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—21no—
759C2×C4×C59—41no—
760C2×C4×C59—41no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—42no—
799D236—42no—
800D236—81no—
801D236—81no—
802D236H(5,𝔽2)12yes—
803C4×D59—42no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812Dic118—21no—
813Dic118—21no—
814Dic118—81no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62084—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59C23×D411yescharacteristic
840C2×D59—22no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—162no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59C2×H(5,𝔽2)11yescharacteristic
869C4×C59#58511yescharacteristic
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3554D5911yescharacteristic, complemented
876#3513—591no—
877#3403—591no—
878#3400—591no—
879#3372—591no—
880#3370—591no—
881#3330—591no—
882#3327—591no—
883#3320—591no—
884#3315—591no—
885#3309—591no—
886#3308—591no—
887#3275—591no—
888#3272—591no—
889#3268—591no—
890#3267—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3257—591no—
895#3252—591no—
896#3225—591no—
897#3221—591no—
898#3219—591no—
899#3124—591no—
900#3118—591no—
901#3110—591no—
902#3046—591no—
903#3042—591no—
904#3036—591no—
905#2995—591no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59#348811yescharacteristic
912C2×C59#358511yescharacteristic
913C2×C59#358611yescharacteristic
914D59—42no—
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×AGL(1,ℤ/8)—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#562—21no—
924#562—21no—
925#559—21no—
926#559—591no—
927#559C2×D5911yescharacteristic, complemented
928#557C2×D5911yescharacteristic, complemented
929#554—21no—
930#554—591no—
931#553—591no—
932#553—1181no—
933#552—591no—
934#551—1181no—
935#551—1181no—
936#550C2×D5911yescharacteristic, complemented
937D4×Q8C2×D5911yescharacteristic, complemented
938#548C2×D5911yescharacteristic
939#548C2×D5911yescharacteristic, complemented
940#547—591no—
941#547C2×D5911yescharacteristic
942#547C2×D5911yescharacteristic, complemented
943#546—591no—
944#546—591no—
945#546—1181no—
946D42—591no—
947#542—21no—
948#542—591no—
949#542C2×D5911yescharacteristic, complemented
950#542C2×D5911yescharacteristic, complemented
951#540—21no—
952#540—591no—
953#539—21no—
954#539—21no—
955#539—1181no—
956#538—1181no—
957#536C2×D5911yescharacteristic, complemented
958#536C2×D5911yescharacteristic, complemented
959#533C2×D5911yescharacteristic, complemented
960#532C2×D5911yescharacteristic, complemented
961#529—591no—
962#529C2×D5911yescharacteristic
963#525—1181no—
964C2×#123—1181no—
965#520—591no—
966#518—591no—
967C2×C4×D4—591no—
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#491—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#487—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#484—591no—
984#482—591no—
985#480—591no—
986#479—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#470—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#466—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#463—591no—
1015#463—591no—
1016#463—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#461—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#460—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#451—591no—
1043#450—591no—
1044#450—591no—
1045#450—591no—
1046#449—591no—
1047#449—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#446—591no—
1057#446—591no—
1058#442—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×SD16—591no—
1068C4×D8—591no—
1069C4×D8—591no—
1070#436—591no—
1071#436—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#433—591no—
1077#433—591no—
1078#432—591no—
1079#424—591no—
1080#424—591no—
1081#423—591no—
1082#419—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#103—591no—
1088C59#6208411yescharacteristic, complemented, Sylow
1089C2×#41—591no—
1090C2×#41—1181no—
1091C2×#41C22×D5911yescharacteristic
1092C2×#41C22×D5911yescharacteristic
1093C2×#41C22×D5911yescharacteristic
1094C2×#41C22×D5911yescharacteristic
1095C22×Q8C22×D5911yescharacteristic
1096C22×Q8C22×D5911yescharacteristic
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C23×C4—1181no—
1101#137—2362no—
1102AGL(1,ℤ/8)—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—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—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—2362no—
1125C2×D8—591no—
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C22×C8—591no—
1136C22×C8—591no—
1137C4⋊Q8—21no—
1138C4⋊Q8—591no—
1139C4⋊Q8C22×D5911yescharacteristic
1140C4⋊Q8C22×D5911yescharacteristic
1141C4⋊Q8C22×D5911yescharacteristic
1142C4⋊Q8C22×D5911yescharacteristic
1143C4⋊Q8C22×D5911yescharacteristic
1144#127—21no—
1145#127—591no—
1146#127C22×D5911yescharacteristic
1147#126—21no—
1148#126—21no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126C22⋊D5911yescharacteristic
1154#126C22⋊D5911yescharacteristic
1155#125—21no—
1156#125—21no—
1157#125—21no—
1158#125—21no—
1159#125—591no—
1160#125—591no—
1161#125—1181no—
1162#125C22⋊D5911yescharacteristic
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—591no—
1169#124—591no—
1170#124—1181no—
1171#124—1181no—
1172#124C22⋊D5911yescharacteristic
1173#124C22×D5911yescharacteristic
1174#124C22×D5911yescharacteristic
1175#124C22×D5911yescharacteristic
1176#124C22×D5911yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123C22⋊D5911yescharacteristic
1202#123C22⋊D5911yescharacteristic
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8C22⋊D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225C22⋊Q8C22×D5911yescharacteristic
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121C22⋊D5911yescharacteristic
1245#121C22×D5911yescharacteristic
1246#121C22×D5911yescharacteristic
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—21no—
1252C4×Q8—21no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8C22×D5911yescharacteristic
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×Q8C22×D5911yescharacteristic
1259C4×Q8C22×D5911yescharacteristic
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—21no—
1290#117—591no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295#117C22×D5911yescharacteristic
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4—591no—
1299C2×C4⋊C4—591no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42C22×D5911yescharacteristic
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#106—591no—
1315#106—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
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#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368C4×C8—591no—
1369C4×C8—591no—
1370C24—1181no—
1371C24—1181no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—1182no—
1381#41—4722no—
1382#41—2361no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—591no—
1391C2×Q8—1181no—
1392C2×Q8C2×C22⋊D5911yescharacteristic
1393C2×Q8C23×D5911yescharacteristic
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×Q8C23×D5911yescharacteristic
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—4722no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4C2×C22⋊D5911yescharacteristic
1423C2×D4C2×C22⋊D5911yescharacteristic
1424C2×D4C2×C22⋊D5911yescharacteristic
1425C2×D4C23×D5911yescharacteristic
1426C2×D4C23×D5911yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—4722no—
1447C22×C4C2×C22⋊D5911yescharacteristic
1448C22×C4C2×C22⋊D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456SD16—1182no—
1457SD16—1182no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479M16—2361no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—591no—
1485C2×C8—591no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—2361no—
1489C2×C8—2361no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4C2×C22⋊D5911yescharacteristic
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C2×C22⋊D5911yescharacteristic
1531C4⋊C4C2×C22⋊D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
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—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4C2×C22⋊D5911yescharacteristic
1570C22⋊C4C2×C22⋊D5911yescharacteristic
1571C22⋊C4C2×C22⋊D5911yescharacteristic
1572C22⋊C4C2×C22⋊D5911yescharacteristic
1573C22⋊C4C2×C22⋊D5911yescharacteristic
1574C22⋊C4C2×C22⋊D5911yescharacteristic
1575C22⋊C4C2×C22⋊D5911yescharacteristic
1576C22⋊C4C2×C22⋊D5911yescharacteristic
1577C22⋊C4C2×C22⋊D5911yescharacteristic
1578C22⋊C4C2×C22⋊D5911yescharacteristic
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42C2×C22⋊D5911yescharacteristic
1587C42C2×C22⋊D5911yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—4721no—
1598C23—4721no—
1599C23—4721no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C22×C22⋊D5911yescharacteristic
1604C23C22×C22⋊D5911yescharacteristic
1605C23C22×C22⋊D5911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—41no—
1615Q8—81no—
1616Q8—81no—
1617Q8—81no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—4721no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—42no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—592no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4C22×C22⋊D5911yescharacteristic
1690C2×C4C22×C22⋊D5911yescharacteristic
1691C2×C4C22×C22⋊D5911yescharacteristic
1692C2×C4C22×C22⋊D5911yescharacteristic
1693C2×C4C22×C22⋊D5911yescharacteristic
1694C2×C4C22×C22⋊D5911yescharacteristic
1695C2×C4C22×C22⋊D5911yescharacteristic
1696C2×C4C22×C22⋊D5911yescharacteristic
1697C2×C4C22×C22⋊D5911yescharacteristic
1698C2×C4C22×C22⋊D5911yescharacteristic
1699C2×C4C22×C22⋊D5911yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—1182no—
1725C22—9442no—
1726C22—4724no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C23×C22⋊D5911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4H(5,𝔽2)×D5911yescharacteristic
1759C4#1683823711yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—2362no—
1768C2#2143775811yescharacteristic
1769C2#2143887511yescharacteristic
1770C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3554C2
socleC22×C59C23×D4
hypercenter#3554D59
hypocenterC59#62084
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #21438040C2semidirect
2. #21437180C2semidirect
3. #21437145C2semidirect
4. #21436873C2semidirect
5. #21436843C2semidirect
6. #21436401C2semidirect
7. #21436364C2semidirect
8. #21436267C2semidirect
9. #21436192C2semidirect
10. #21436102C2semidirect
11. #21436087C2semidirect
12. #21435728C2semidirect
13. #21435696C2semidirect
14. #21435637C2semidirect
15. #21435622C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21435552C2semidirect
19. #21435507C2semidirect
20. #21435463C2semidirect
21. #21435205C2semidirect
22. #21435157C2semidirect
23. #21435133C2semidirect
24. #21434352C2semidirect
25. #21434274C2semidirect
26. #21434191C2semidirect
27. #21433642C2semidirect
28. #21433604C2semidirect
29. #21433556C2semidirect
30. #21433266C2semidirect
31. C59×#3554C2semidirect
60. #16837794C22semidirect
61. #16837794C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
66. #16837770C22semidirect
67. #16837770C22semidirect
68. #16837766C22semidirect
69. #16837761C22semidirect
70. #16837756C22semidirect
71. #16837752C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
74. #16837735C22semidirect
75. #16837735C22semidirect
76. #16837723C22semidirect
77. #16837713C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837709C22semidirect
81. #16837702C22semidirect
82. #16837697C22semidirect
83. #16837694C22semidirect
84. #16837689C22semidirect
85. #16837682C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
89. #16837658C22semidirect
90. #16837653C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837641C22semidirect
98. #16837636C22semidirect
99. #16837633C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837617C22semidirect
111. #16837614C22semidirect
112. #16837614C22semidirect
113. #16837614C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837609C22semidirect
117. #16837609C22semidirect
122. #16837604C22semidirect
123. #16837604C22semidirect
124. #16837604C22semidirect
125. #16837604C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
134. #16837558C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
145. #16837541C22semidirect
146. #16837541C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837502C22semidirect
155. #16837500C22semidirect
156. #16837500C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
161. C4×#11745669C22semidirect
163. #16837480C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837411C22semidirect
175. #16837403C22semidirect
176. #16837403C22semidirect
177. #16837403C22semidirect
178. #16837398C22semidirect
179. C2×#14273651C22semidirect
183. C59×#559C22semidirect
184. C59×#557C22semidirect
186. C59×#550C22semidirect
187. D4×Q8×C59C22semidirect
189. C59×#548C22semidirect
191. C59×#547C22semidirect
193. C59×#542C22semidirect
194. C59×#542C22semidirect
198. C59×#536C22semidirect
199. C59×#536C22semidirect
200. C59×#533C22semidirect
201. C59×#532C22semidirect
875. #3554D59semidirect
927. #559C2×D59semidirect
928. #557C2×D59semidirect
936. #550C2×D59semidirect
937. D4×Q8C2×D59semidirect
939. #548C2×D59semidirect
942. #547C2×D59semidirect
949. #542C2×D59semidirect
950. #542C2×D59semidirect
957. #536C2×D59semidirect
958. #536C2×D59semidirect
959. #533C2×D59semidirect
960. #532C2×D59semidirect
1088. C59#62084semidirect

Maximal subgroups

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

subgroupindex
#214380402
#214371802
#214371452
#214368732
#214368432
#214364012
#214363642
#214362672
#214361922
#214361022
#214360872
#214357282
#214356962
#214356372
#214356222
#214356072
#214355922
#214355522
#214355072
#214354632
#214352052
#214351572
#214351332
#214343522
#214342742
#214341912
#214336422
#214336042
#214335562
#214332662
C59×#35542
#6208459