Finite Group Databasebeta

← #29470458

Subgroups — #29470458

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437162C211yesmaximal, characteristic, complemented
3#21437035C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436864C211yesmaximal, characteristic, complemented
6#21436656C211yesmaximal, characteristic, complemented
7#21436566C211yesmaximal, characteristic, complemented
8#21436551C211yesmaximal, characteristic, complemented
9#21436349C211yesmaximal, characteristic, complemented
10#21436306C211yesmaximal, characteristic, complemented
11#21436267C211yesmaximal, characteristic, complemented
12#21436207C211yesmaximal, characteristic, complemented
13#21436111C211yesmaximal, characteristic, complemented
14#21436051C211yesmaximal, characteristic, complemented
15#21435728C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21434696C211yesmaximal, characteristic, complemented
19#21434692C211yesmaximal, characteristic, complemented
20#21434660C211yesmaximal, characteristic, complemented
21#21434176C211yesmaximal, characteristic, complemented
22#21434139C211yesmaximal, characteristic, complemented
23#21434127C211yesmaximal, characteristic, complemented
24#21434114C211yesmaximal, characteristic, complemented
25#21434108C211yesmaximal, characteristic, complemented
26#21434100C211yesmaximal, characteristic, complemented
27#21433063C211yesmaximal, characteristic, complemented
28C4×#14273758C211yesmaximal, characteristic, complemented
29C4×#14273752C211yesmaximal, characteristic, complemented
30C2×C4×#11745671C211yesmaximal, characteristic, complemented
31C59×#3482C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838137C2211yescharacteristic
36#16838112C2211yescharacteristic
37#16838109C2211yescharacteristic
38#16838098C2211yescharacteristic
39#16838098C2211yescharacteristic
40#16838096—21no—
41#16838076—21no—
42#16838076—21no—
43#16838048C2211yescharacteristic
44#16838048C2211yescharacteristic
45#16838040—21no—
46D4×D236C2211yescharacteristic
47#16837952C2211yescharacteristic
48#16837939—21no—
49#16837936C2211yescharacteristic
50#16837936C2211yescharacteristic
51#16837911—21no—
52#16837911—21no—
53C4×#11745685C2211yescharacteristic
54C2×C4×D236C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic
56C4×D4×D59—21no—
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837784C2211yescharacteristic, complemented
63#16837770C2211yescharacteristic, complemented
64#16837768C2211yescharacteristic
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837735C2211yescharacteristic, complemented
72#16837732C2211yescharacteristic, complemented
73#16837730C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic
76#16837723C2211yescharacteristic, complemented
77#16837720C2211yescharacteristic, complemented
78#16837720C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic, complemented
80#16837715C2211yescharacteristic
81#16837709C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837709C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837699C2211yescharacteristic
87#16837699C2211yescharacteristic
88#16837699C2211yescharacteristic, complemented
89#16837689C2211yescharacteristic
90#16837689C2211yescharacteristic, complemented
91#16837687C2211yescharacteristic, complemented
92#16837687C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837658C2211yescharacteristic, complemented
95#16837653C2211yescharacteristic, complemented
96#16837653C2211yescharacteristic, complemented
97#16837650C2211yescharacteristic
98#16837650C2211yescharacteristic
99#16837650C2211yescharacteristic, complemented
100#16837650C2211yescharacteristic, complemented
101#16837641C2211yescharacteristic, complemented
102#16837636C2211yescharacteristic
103#16837633C2211yescharacteristic
104#16837629C2211yescharacteristic, complemented
105#16837624C2211yescharacteristic, complemented
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic
111#16837614C2211yescharacteristic
112#16837614C2211yescharacteristic, complemented
113#16837604C2211yescharacteristic
114#16837604C2211yescharacteristic, complemented
115#16837602C2211yescharacteristic
116#16837602C2211yescharacteristic
117#16837564C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic
119#16837558C2211yescharacteristic, complemented
120#16837552C2211yescharacteristic
121#16837552C2211yescharacteristic
122#16837552C2211yescharacteristic
123#16837547C2211yescharacteristic
124#16837545C2211yescharacteristic
125#16837541C2211yescharacteristic
126#16837541C2211yescharacteristic, complemented
127#16837541C2211yescharacteristic, complemented
128#16837535C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic, complemented
133#16837507C2211yescharacteristic, complemented
134#16837507C2211yescharacteristic, complemented
135#16837500C2211yescharacteristic
136#16837500C2211yescharacteristic
137#16837500C2211yescharacteristic
138#16837500C2211yescharacteristic, complemented
139C4×#11745672C2211yescharacteristic, complemented
140C4×#11745672C2211yescharacteristic, complemented
141C4×#11745672C2211yescharacteristic, complemented
142C4×#11745671C2211yescharacteristic
143C4×#11745671C2211yescharacteristic
144C4×#11745671C2211yescharacteristic
145C4×#11745671C2211yescharacteristic
146C4×#11745671C2211yescharacteristic
147C4×#11745671C2211yescharacteristic, complemented
148C4×#11745671C2211yescharacteristic, complemented
149C4×#11745671C2211yescharacteristic, complemented
150C4×#11745671C2211yescharacteristic, complemented
151C4×#11745671C2211yescharacteristic, complemented
152C4×#11745671C2211yescharacteristic, complemented
153C4×#11745671C2211yescharacteristic, complemented
154C4×#11745671C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic
157C4×#11745669C2211yescharacteristic, complemented
158C4×#11745669C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837480C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic
162#16837474C2211yescharacteristic
163#16837474C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837455C2211yescharacteristic, complemented
166#16837455C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837445C2211yescharacteristic, complemented
169#16837442C2211yescharacteristic, complemented
170C2×#14273658C2211yescharacteristic, complemented
171#16837411C2211yescharacteristic, complemented
172#16837406C2211yescharacteristic
173#16837403C2211yescharacteristic, complemented
174#16837401C2211yescharacteristic
175C2×#14273651C2211yescharacteristic, complemented
176C2×#14273647C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C4×#11745664C2211yescharacteristic, complemented
179C2×C4×C59⋊C8C2211yescharacteristic, complemented
180C59×#557C2211yescharacteristic, complemented
181C59×#556—21no—
182C59×#556C2211yescharacteristic, complemented
183C59×#552—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic, complemented
187D4×Q8×C59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#547—21no—
191C59×#547C2211yescharacteristic, complemented
192C59×#533—21no—
193C59×#533C2211yescharacteristic, complemented
194C59×#529—21no—
195C59×#529—21no—
196C59×#529C2211yescharacteristic, complemented
197C59×#529C2211yescharacteristic, complemented
198C4×#41×C59—21no—
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic, complemented
201C2×C4×Q8×C59C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210#14273758—24no—
211#14273752—24no—
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745671—24no—
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745664C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273724C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273721—21no—
241#14273719C2311yescharacteristic
242#14273719C2311yescharacteristic
243#14273718—21no—
244#14273716—21no—
245#14273715—21no—
246#14273715C2311yescharacteristic
247#14273715C2311yescharacteristic
248#14273712—21no—
249#14273712—21no—
250#14273712—21no—
251#14273712—21no—
252#14273710—21no—
253#14273710—21no—
254#14273709—21no—
255#14273709—21no—
256#14273706C2311yescharacteristic
257#14273706C2311yescharacteristic
258#14273705—21no—
259#14273705—21no—
260#14273704—21no—
261#14273704—21no—
262#14273703—21no—
263#14273702—21no—
264#14273701—21no—
265#14273701C2311yescharacteristic
266#14273701C2311yescharacteristic
267#14273701C2311yescharacteristic
268#14273701C2311yescharacteristic
269#14273700—21no—
270#14273700—21no—
271#14273699—21no—
272#14273699—21no—
273#14273697—21no—
274#14273697—21no—
275#14273695—21no—
276#14273695—21no—
277C4×Dic118C2311yescharacteristic
278C4×Dic118C2311yescharacteristic
279C4×D236—21no—
280C4×D236—21no—
281C4×D236—21no—
282C4×D236—21no—
283C4×D236—21no—
284C4×D236C2311yescharacteristic
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×D236C2311yescharacteristic
288C4×D236C2311yescharacteristic
289C4×D236C2311yescharacteristic
290C4×D236C2311yescharacteristic
291C4×D236C2311yescharacteristic
292D4×Dic59—21no—
293#14273689—21no—
294C4×C22⋊D59—21no—
295C4×C22⋊D59—21no—
296C4×C22⋊D59—21no—
297C4×C22⋊D59—21no—
298(C22⋊D59)⋊C4—21no—
299(C22⋊D59)⋊C4—21no—
300#14273686C2311yescharacteristic
301#14273684—21no—
302#14273684—21no—
303#14273684—21no—
304C2×C4⋊Dic59C2311yescharacteristic
305C2×C4⋊Dic59C2311yescharacteristic
306C4⋊C4×D59—21no—
307C2×(C2×D59)⋊C4—21no—
308C2×(C2×D59)⋊C4—21no—
309C22⋊C4×D59—21no—
310C22⋊C4×D59—21no—
311C42×D59—21no—
312#14273660C2311yescharacteristic
313#14273660C2311yescharacteristic
314#14273660C2311yescharacteristic
315#14273660C2311yescharacteristic
316#14273660C2311yescharacteristic
317#14273660C2311yescharacteristic
318#14273658C2311yescharacteristic
319#14273658C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
327#14273658C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334#14273651C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273647C2311yescharacteristic
355#14273647C2311yescharacteristic
356#14273647C2311yescharacteristic
357#14273647C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366C22⋊(C59⋊C8)C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372#14273638C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376C4×C59⋊C8C2311yescharacteristic
377C4×C59⋊C8C2311yescharacteristic
378C4×C59⋊C8C2311yescharacteristic
379C4×C59⋊C8C2311yescharacteristic
380C4×C59⋊C8C2311yescharacteristic
381C4×C59⋊C8C2311yescharacteristic
382C2×#41×C59—21no—
383C2×#41×C59D411yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×Q8×C59C2311yescharacteristic
386C22×Q8×C59C2311yescharacteristic
387C4⋊Q8×C59—21no—
388C4⋊Q8×C59—21no—
389C4⋊Q8×C59C2311yescharacteristic
390C4⋊Q8×C59C2311yescharacteristic
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#125×C59—21no—
398#125×C59—21no—
399#125×C59—21no—
400#125×C59—21no—
401#125×C59—21no—
402#125×C59C2311yescharacteristic
403#125×C59C2311yescharacteristic
404#124×C59—21no—
405#124×C59—21no—
406#124×C59C2311yescharacteristic
407#124×C59C2311yescharacteristic
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411#123×C59—21no—
412#123×C59—21no—
413#123×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59—21no—
417C22⋊Q8×C59—21no—
418C22⋊Q8×C59—21no—
419C22⋊Q8×C59—21no—
420C22⋊Q8×C59—21no—
421C22⋊Q8×C59C2311yescharacteristic
422C22⋊Q8×C59C2311yescharacteristic
423C22⋊Q8×C59C2311yescharacteristic
424C22⋊Q8×C59C2311yescharacteristic
425#121×C59—21no—
426#121×C59—21no—
427#121×C59C2311yescharacteristic
428#121×C59C2311yescharacteristic
429C4×Q8×C59—21no—
430C4×Q8×C59—21no—
431C4×Q8×C59—21no—
432C4×Q8×C59—21no—
433C4×Q8×C59—21no—
434C4×Q8×C59—21no—
435C4×Q8×C59D411yescharacteristic
436C4×Q8×C59C2311yescharacteristic
437C4×Q8×C59C2311yescharacteristic
438C4×Q8×C59C2311yescharacteristic
439C4×Q8×C59C2311yescharacteristic
440C4×Q8×C59C2311yescharacteristic
441C4×Q8×C59C2311yescharacteristic
442C4×Q8×C59C2311yescharacteristic
443C4×Q8×C59C2311yescharacteristic
444C4×Q8×C59C2311yescharacteristic
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59D411yescharacteristic
453C4×D4×C59D411yescharacteristic
454C4×D4×C59D411yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461#117×C59—21no—
462#117×C59—21no—
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59—21no—
467#117×C59D411yescharacteristic
468#117×C59D411yescharacteristic
469#117×C59D411yescharacteristic
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59—21no—
473C2×C4⋊C4×C59C2311yescharacteristic
474C2×C4⋊C4×C59C2311yescharacteristic
475C2×C42×C59—21no—
476C2×C42×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—44no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—22no—
491C2×Q8×C59—22no—
492C2×Q8×C59—41no—
493C2×Q8×C59—41no—
494C2×Q8×C59C2×D411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2×D411yescharacteristic
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528D4×D59—44no—
529#11745685—22no—
530#11745685—41no—
531#11745685—82no—
532C2×D236—22no—
533C2×D236—22no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—82no—
553C2×C4×D59—82no—
554C2×Dic118—21no—
555C2×Dic118C2411yescharacteristic
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
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×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59—21no—
608C42×C59—21no—
609C42×C59—21no—
610C42×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59—21no—
614C42×C59—21no—
615C42×C59C2×D411yescharacteristic
616C42×C59C2×D411yescharacteristic
617C42×C59C2×D411yescharacteristic
618C42×C59C2×D411yescharacteristic
619C42×C59C2×D411yescharacteristic
620C42×C59C2×D411yescharacteristic
621C42×C59C2411yescharacteristic
622C42×C59C2411yescharacteristic
623C42×C59C2411yescharacteristic
624C42×C59C2411yescharacteristic
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628#11745672—22no—
629#11745672—22no—
630#11745672—41no—
631#11745671—22no—
632#11745671—22no—
633#11745671—22no—
634#11745671—22no—
635#11745671—22no—
636#11745671—41no—
637#11745671—41no—
638#11745671—41no—
639#11745671#4114yescomplemented
640#11745670—41no—
641#11745669—22no—
642#11745669—22no—
643#11745669—41no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—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—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678#11745664—22no—
679#11745664—22no—
680#11745664—41no—
681#11745664—41no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8—41no—
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C23×C59—21no—
693C23×C59C22×D411yescharacteristic
694C23×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59—81no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—41no—
711Q8×C59—42no—
712Q8×C59—42no—
713Q8×C59—42no—
714Q8×C59C2×#4112yes—
715D4×C59—22no—
716D4×C59—22no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—41no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723C2×C4×C59—22no—
724C2×C4×C59—21no—
725C2×C4×C59—22no—
726C2×C4×C59—22no—
727C2×C4×C59—22no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—41no—
741C2×C4×C59—41no—
742C2×C4×C59—42no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773D236—21no—
774D236—21no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—42no—
779D236—42no—
780D236—42no—
781D236—81no—
782D236C2×#4112yes—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792Dic118—21no—
793Dic118—21no—
794Dic118—81no—
795C59⋊C8—21no—
796C59⋊C8—21no—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59#57512yes—
816C22×C59C23×D411yescharacteristic
817C2×D59—22no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—84no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—22no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59#57712yes—
846C4×C59C22×#4111yescharacteristic
847C4×C59#58511yescharacteristic
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853#3482D5911yescharacteristic, complemented
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316—591no—
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—81no—
888C2×C59D4×#4111yescharacteristic
889C2×C59C2×#57511yescharacteristic
890C2×C59C2×#57711yescharacteristic
891D59—42no—
892D59—81no—
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559—591no—
898#557C2×D5911yescharacteristic, complemented
899#556—21no—
900#556C2×D5911yescharacteristic, complemented
901#554—591no—
902#554—591no—
903#553—591no—
904#553—591no—
905#553—1181no—
906#552—21no—
907#552—21no—
908#552C2×D5911yescharacteristic
909#552C2×D5911yescharacteristic, complemented
910#551—1181no—
911#551—1181no—
912D4×Q8C2×D5911yescharacteristic, complemented
913#548C2×D5911yescharacteristic
914#548C2×D5911yescharacteristic, complemented
915#547—21no—
916#547C2×D5911yescharacteristic, complemented
917#546—591no—
918#546—591no—
919#546—1181no—
920D42—591no—
921#533—21no—
922#533C2×D5911yescharacteristic, complemented
923#532—591no—
924#529—21no—
925#529—21no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529C2×D5911yescharacteristic, complemented
930#529C2×D5911yescharacteristic, complemented
931#525—1181no—
932#525—1181no—
933C4×#41—21no—
934C4×#41—591no—
935C4×#41C2×D5911yescharacteristic
936C4×#41C2×D5911yescharacteristic, complemented
937C2×C4×Q8C2×D5911yescharacteristic, complemented
938C2×C4×Q8C2×D5911yescharacteristic, complemented
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489—591no—
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483—591no—
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#467—591no—
987#466—591no—
988#465—591no—
989#465—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449—591no—
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#447—591no—
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435—591no—
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060C2×#103—591no—
1061C2×#102—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41C22⋊D5911yescharacteristic
1070C2×#41C22×D5911yescharacteristic
1071C22×Q8C22×D5911yescharacteristic
1072C22×Q8C22×D5911yescharacteristic
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—1181no—
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—1184no—
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—591no—
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16—591no—
1101C22×C8—591no—
1102C22×C8—591no—
1103C4⋊Q8—21no—
1104C4⋊Q8—21no—
1105C4⋊Q8—591no—
1106C4⋊Q8C22×D5911yescharacteristic
1107C4⋊Q8C22×D5911yescharacteristic
1108#127—591no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—21no—
1120#125—21no—
1121#125—21no—
1122#125—21no—
1123#125—21no—
1124#125—591no—
1125#125—591no—
1126#125—1181no—
1127#125C22×D5911yescharacteristic
1128#125C22×D5911yescharacteristic
1129#124—21no—
1130#124—21no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124C22×D5911yescharacteristic
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167C22⋊Q8C22×D5911yescharacteristic
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121C22×D5911yescharacteristic
1182#121C22×D5911yescharacteristic
1183#120—1181no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8C22⋊D5911yescharacteristic
1196C4×Q8C22×D5911yescharacteristic
1197C4×Q8C22×D5911yescharacteristic
1198C4×Q8C22×D5911yescharacteristic
1199C4×Q8C22×D5911yescharacteristic
1200C4×Q8C22×D5911yescharacteristic
1201C4×Q8C22×D5911yescharacteristic
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4C22⋊D5911yescharacteristic
1234C4×D4C22⋊D5911yescharacteristic
1235C4×D4C22⋊D5911yescharacteristic
1236C4×D4C22×D5911yescharacteristic
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—591no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117C22⋊D5911yescharacteristic
1253#117C22⋊D5911yescharacteristic
1254#117C22⋊D5911yescharacteristic
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—1181no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—21no—
1268C2×C42—21no—
1269C2×C42—21no—
1270C2×C42—1181no—
1271C2×C42C22×D5911yescharacteristic
1272C2×C42C22×D5911yescharacteristic
1273C2×C42C22×D5911yescharacteristic
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106—591no—
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8—591no—
1333C22⋊C8—591no—
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97—591no—
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—1181no—
1345C24—1181no—
1346#41—22no—
1347#41—42no—
1348#41—41no—
1349#41—44no—
1350#41—1182no—
1351#41—4722no—
1352#41—2361no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—591no—
1361C2×Q8—1181no—
1362C2×Q8C2×C22⋊D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—1182no—
1373C2×D4—1182no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2364no—
1386C2×D4C2×C22⋊D5911yescharacteristic
1387C2×D4C2×C22⋊D5911yescharacteristic
1388C2×D4C2×C22⋊D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—4722no—
1409C22×C4—4722no—
1410C22×C4C2×C22⋊D5911yescharacteristic
1411C22×C4C2×C22⋊D5911yescharacteristic
1412C22×C4C2×C22⋊D5911yescharacteristic
1413C22×C4C2×C22⋊D5911yescharacteristic
1414C22×C4C2×C22⋊D5911yescharacteristic
1415C22×C4C2×C22⋊D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—594no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—1182no—
1433D8—1182no—
1434D8—2361no—
1435M16—1182no—
1436M16—1182no—
1437M16—2361no—
1438M16—2361no—
1439C2×C8—591no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—591no—
1445C2×C8—591no—
1446C2×C8—591no—
1447C2×C8—1182no—
1448C2×C8—2361no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4C2×C22⋊D5911yescharacteristic
1486C4⋊C4C2×C22⋊D5911yescharacteristic
1487C4⋊C4C2×C22⋊D5911yescharacteristic
1488C4⋊C4C2×C22⋊D5911yescharacteristic
1489C4⋊C4C2×C22⋊D5911yescharacteristic
1490C4⋊C4C2×C22⋊D5911yescharacteristic
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4C2×C22⋊D5911yescharacteristic
1528C22⋊C4C2×C22⋊D5911yescharacteristic
1529C22⋊C4C2×C22⋊D5911yescharacteristic
1530C22⋊C4C2×C22⋊D5911yescharacteristic
1531C22⋊C4C2×C22⋊D5911yescharacteristic
1532C22⋊C4C2×C22⋊D5911yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42C2×C22⋊D5911yescharacteristic
1546C42C2×C22⋊D5911yescharacteristic
1547C42C2×C22⋊D5911yescharacteristic
1548C42C2×C22⋊D5911yescharacteristic
1549C42C2×C22⋊D5911yescharacteristic
1550C42C2×C22⋊D5911yescharacteristic
1551C42C23×D5911yescharacteristic
1552C42C23×D5911yescharacteristic
1553C42C23×D5911yescharacteristic
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—4721no—
1560C23—4721no—
1561C23—2362no—
1562C23—2362no—
1563C23—2362no—
1564C23—2362no—
1565C23C22×C22⋊D5911yescharacteristic
1566C23C22×C22⋊D5911yescharacteristic
1567C23C22×C22⋊D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—41no—
1574Q8—42no—
1575Q8—42no—
1576Q8—42no—
1577Q8—1181no—
1578Q8—1181no—
1579Q8—4721no—
1580Q8#41×D5912yes—
1581D4—22no—
1582D4—22no—
1583D4—21no—
1584D4—21no—
1585D4—41no—
1586D4—42no—
1587D4—42no—
1588D4—42no—
1589D4—592no—
1590D4—1181no—
1591D4—1181no—
1592D4—1181no—
1593D4—1181no—
1594D4—1181no—
1595D4—4721no—
1596D4—4721no—
1597D4—4721no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4—2362no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4C22×C22⋊D5911yescharacteristic
1647C2×C4C22×C22⋊D5911yescharacteristic
1648C2×C4C22×C22⋊D5911yescharacteristic
1649C2×C4C22×C22⋊D5911yescharacteristic
1650C2×C4C22×C22⋊D5911yescharacteristic
1651C2×C4C22×C22⋊D5911yescharacteristic
1652C2×C4C22×C22⋊D5911yescharacteristic
1653C2×C4C22×C22⋊D5911yescharacteristic
1654C2×C4C22×C22⋊D5911yescharacteristic
1655C2×C4C22×C22⋊D5911yescharacteristic
1656C2×C4C22×C22⋊D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—592no—
1659C8—1181no—
1660C8—1181no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—1182no—
1678C22—4724no—
1679C22—4724no—
1680C22—2361no—
1681C22—2361no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683820012yes—
1689C22C23×C22⋊D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—22no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4#1683821012yes—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823811yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—81no—
1719C2—4721no—
1720C2—4721no—
1721C2—2362no—
1722C2#41×C22⋊D5911yescharacteristic
1723C2C2×#1683820011yescharacteristic
1724C2C2×#1683821011yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3482C2
socleC22×C59C23×D4
hypercenter#3482D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437162C2semidirect
3. #21437035C2semidirect
4. #21436917C2semidirect
5. #21436864C2semidirect
6. #21436656C2semidirect
7. #21436566C2semidirect
8. #21436551C2semidirect
9. #21436349C2semidirect
10. #21436306C2semidirect
11. #21436267C2semidirect
12. #21436207C2semidirect
13. #21436111C2semidirect
14. #21436051C2semidirect
15. #21435728C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21434696C2semidirect
19. #21434692C2semidirect
20. #21434660C2semidirect
21. #21434176C2semidirect
22. #21434139C2semidirect
23. #21434127C2semidirect
24. #21434114C2semidirect
25. #21434108C2semidirect
26. #21434100C2semidirect
27. #21433063C2semidirect
28. C4×#14273758C2semidirect
29. C4×#14273752C2semidirect
30. C2×C4×#11745671C2semidirect
31. C59×#3482C2semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837794C22semidirect
62. #16837784C22semidirect
63. #16837770C22semidirect
65. #16837764C22semidirect
66. #16837761C22semidirect
67. #16837759C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837735C22semidirect
72. #16837732C22semidirect
73. #16837730C22semidirect
74. #16837730C22semidirect
76. #16837723C22semidirect
77. #16837720C22semidirect
78. #16837720C22semidirect
79. #16837718C22semidirect
81. #16837709C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837706C22semidirect
85. #16837702C22semidirect
88. #16837699C22semidirect
90. #16837689C22semidirect
91. #16837687C22semidirect
92. #16837687C22semidirect
93. #16837658C22semidirect
94. #16837658C22semidirect
95. #16837653C22semidirect
96. #16837653C22semidirect
99. #16837650C22semidirect
100. #16837650C22semidirect
101. #16837641C22semidirect
104. #16837629C22semidirect
105. #16837624C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837621C22semidirect
109. #16837617C22semidirect
112. #16837614C22semidirect
114. #16837604C22semidirect
117. #16837564C22semidirect
119. #16837558C22semidirect
126. #16837541C22semidirect
127. #16837541C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
132. #16837512C22semidirect
133. #16837507C22semidirect
134. #16837507C22semidirect
138. #16837500C22semidirect
139. C4×#11745672C22semidirect
140. C4×#11745672C22semidirect
141. C4×#11745672C22semidirect
147. C4×#11745671C22semidirect
148. C4×#11745671C22semidirect
149. C4×#11745671C22semidirect
150. C4×#11745671C22semidirect
151. C4×#11745671C22semidirect
152. C4×#11745671C22semidirect
153. C4×#11745671C22semidirect
154. C4×#11745671C22semidirect
155. C4×#11745670C22semidirect
157. C4×#11745669C22semidirect
158. C4×#11745669C22semidirect
159. #16837480C22semidirect
160. #16837480C22semidirect
163. #16837474C22semidirect
164. #16837474C22semidirect
165. #16837455C22semidirect
166. #16837455C22semidirect
167. #16837455C22semidirect
168. #16837445C22semidirect
169. #16837442C22semidirect
170. C2×#14273658C22semidirect
171. #16837411C22semidirect
173. #16837403C22semidirect
175. C2×#14273651C22semidirect
177. C4×#11745664C22semidirect
178. C4×#11745664C22semidirect
179. C2×C4×C59⋊C8C22semidirect
180. C59×#557C22semidirect
182. C59×#556C22semidirect
186. C59×#552C22semidirect
187. D4×Q8×C59C22semidirect
189. C59×#548C22semidirect
191. C59×#547C22semidirect
193. C59×#533C22semidirect
196. C59×#529C22semidirect
197. C59×#529C22semidirect
200. C4×#41×C59C22semidirect
201. C2×C4×Q8×C59C22semidirect
202. C2×C4×Q8×C59C22semidirect
639. #11745671#41semidirect
853. #3482D59semidirect
898. #557C2×D59semidirect
900. #556C2×D59semidirect
909. #552C2×D59semidirect
912. D4×Q8C2×D59semidirect
914. #548C2×D59semidirect
916. #547C2×D59semidirect
922. #533C2×D59semidirect
929. #529C2×D59semidirect
930. #529C2×D59semidirect
936. C4×#41C2×D59semidirect
937. C2×C4×Q8C2×D59semidirect
938. C2×C4×Q8C2×D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214371622
#214370352
#214369172
#214368642
#214366562
#214365662
#214365512
#214363492
#214363062
#214362672
#214362072
#214361112
#214360512
#214357282
#214356072
#214355922
#214346962
#214346922
#214346602
#214341762
#214341392
#214341272
#214341142
#214341082
#214341002
#214330632
C4×#142737582
C4×#142737522
C2×C4×#117456712
C59×#34822
#6144559