Finite Group Databasebeta

← #28795571

Subgroups — #28795571

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838026C211yesmaximal, characteristic, complemented
2C2×#16837915C211yesmaximal, characteristic, complemented
3#21432391C211yesmaximal, characteristic, complemented
4#21432380C211yesmaximal, characteristic, complemented
5#21430644C211yesmaximal, characteristic, complemented
6#21430637C211yesmaximal, characteristic, complemented
7#21430588C211yesmaximal, characteristic, complemented
8#21430581C211yesmaximal, characteristic, complemented
9#21430546C211yesmaximal, characteristic, complemented
10#21430505C211yesmaximal, characteristic, complemented
11#21430484C211yesmaximal, characteristic, complemented
12#21430477C211yesmaximal, characteristic, complemented
13#21430393C211yesmaximal, characteristic, complemented
14#21430372C211yesmaximal, characteristic, complemented
15#21430372C211yesmaximal, characteristic, complemented
16#21430346C211yesmaximal, characteristic, complemented
17#21430339C211yesmaximal, characteristic, complemented
18#21430316C211yesmaximal, characteristic, complemented
19#21430305C211yesmaximal, characteristic, complemented
20#21430022C211yesmaximal, characteristic, complemented
21#21429946C211yesmaximal, characteristic, complemented
22#21429775C211yesmaximal, characteristic, complemented
23#21429713C211yesmaximal, characteristic, complemented
24#21429676C211yesmaximal, characteristic, complemented
25#21429660C211yesmaximal, characteristic, complemented
26#21429451C211yesmaximal, characteristic, complemented
27#21429273C211yesmaximal, characteristic, complemented
28#21427721C211yesmaximal, characteristic, complemented
29#21427707C211yesmaximal, characteristic, complemented
30#21426728C211yesmaximal, characteristic, complemented
31C59×#2677C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838026—28no—
35C2×#14273722C2211yescharacteristic
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273716C2211yescharacteristic
38C2×#14273716C2211yescharacteristic
39C2×#14273716C2211yescharacteristic, complemented
40C2×#14273715C2211yescharacteristic
41#16837915—28no—
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic
45C2×#14273712C2211yescharacteristic
46C2×#14273712C2211yescharacteristic, complemented
47C2×#14273707C2211yescharacteristic, complemented
48C2×#14273703C2211yescharacteristic
49C2×#14273703C2211yescharacteristic
50C2×#14273703C2211yescharacteristic
51C2×#14273703C2211yescharacteristic, complemented
52C2×#14273702C2211yescharacteristic
53C2×#14273702C2211yescharacteristic
54C2×#14273702C2211yescharacteristic
55C2×#14273702C2211yescharacteristic, complemented
56C2×#14273701C2211yescharacteristic
57C2×#14273697C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273692C2211yescharacteristic, complemented
61C2×#14273689C2211yescharacteristic
62C2×#14273689C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×#14273685C2211yescharacteristic
66C2×#14273684C2211yescharacteristic, complemented
67#16837343C2211yescharacteristic, complemented
68#16837342C2211yescharacteristic, complemented
69#16837338C2211yescharacteristic
70#16837337C2211yescharacteristic, complemented
71#16837337C2211yescharacteristic, complemented
72#16837336C2211yescharacteristic, complemented
73#16837332C2211yescharacteristic, complemented
74#16837331C2211yescharacteristic
75#16837331C2211yescharacteristic, complemented
76#16837329C2211yescharacteristic, complemented
77#16837328C2211yescharacteristic
78#16837328C2211yescharacteristic
79#16837328C2211yescharacteristic
80#16837326C2211yescharacteristic
81#16837324C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837322C2211yescharacteristic, complemented
85#16837321C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837320C2211yescharacteristic, complemented
91#16837319C2211yescharacteristic
92#16837319C2211yescharacteristic
93#16837319C2211yescharacteristic
94#16837319C2211yescharacteristic
95#16837319C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837315C2211yescharacteristic
101#16837315C2211yescharacteristic, complemented
102#16837314C2211yescharacteristic
103#16837313C2211yescharacteristic, complemented
104#16837313C2211yescharacteristic, complemented
105#16837312C2211yescharacteristic
106#16837312C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837309C2211yescharacteristic, complemented
110#16837304C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837297C2211yescharacteristic, complemented
115#16837297C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic
118#16837293C2211yescharacteristic
119#16837293C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic
122#16837291C2211yescharacteristic
123#16837291C2211yescharacteristic
124#16837291C2211yescharacteristic, complemented
125#16837288C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837284C2211yescharacteristic, complemented
129#16837284C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837276C2211yescharacteristic, complemented
146#16837274C2211yescharacteristic
147#16837274C2211yescharacteristic
148#16837274C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837269C2211yescharacteristic, complemented
161#16837266C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic
163#16837264C2211yescharacteristic
164#16837262C2211yescharacteristic
165#16837261C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic
168#16837259C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×C4⋊Q8×C59C2211yescharacteristic, complemented
175C2×C4⋊Q8×C59C2211yescharacteristic, complemented
176C2×C22⋊Q8×C59C2211yescharacteristic
177C2×C22⋊Q8×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic
179C59×#398C2211yescharacteristic, complemented
180C59×#398C2211yescharacteristic, complemented
181C59×#395C2211yescharacteristic, complemented
182C59×#395C2211yescharacteristic, complemented
183C59×#393C2211yescharacteristic
184C59×#388C2211yescharacteristic
185C59×#388C2211yescharacteristic
186C59×#387C2211yescharacteristic, complemented
187C59×#387C2211yescharacteristic, complemented
188C59×#385C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745689—24no—
191C2×#11745689—42no—
192C2×#11745689—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273722—24no—
220#14273722—24no—
221#14273716—24no—
222#14273716—24no—
223#14273716—42no—
224#14273715—24no—
225#14273712—24no—
226#14273712—24no—
227#14273712—24no—
228#14273712—24no—
229#14273712—42no—
230#14273707—24no—
231#14273703—24no—
232#14273703—24no—
233#14273703—24no—
234#14273703—42no—
235#14273702—24no—
236#14273702—24no—
237#14273702—42no—
238#14273702—42no—
239#14273701—24no—
240#14273697—24no—
241#14273697—24no—
242#14273697—42no—
243#14273692—24no—
244#14273689—24no—
245#14273689D418yescomplemented
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248#14273685—24no—
249#14273684—24no—
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C22×Q8×C59C2311yescharacteristic
347C22×Q8×C59C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C4⋊Q8×C59—24no—
351C4⋊Q8×C59—42no—
352C22⋊Q8×C59—24no—
353C22⋊Q8×C59—42no—
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×Q8×C59—22no—
399C2×Q8×C59—22no—
400C2×Q8×C59—22no—
401C2×Q8×C59—22no—
402C2×Q8×C59—41no—
403C2×Q8×C59—41no—
404C2×Q8×C59—41no—
405C2×Q8×C59—41no—
406C2×Q8×C59—41no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—41no—
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447#11745689—416no—
448C2×D236—22no—
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—22no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—41no—
459C2×D236—41no—
460C2×D236—41no—
461C2×D236—41no—
462C2×D236—41no—
463C2×D236—41no—
464C2×D236—41no—
465C2×D236—41no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236C2×D414yes—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—416no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59C2×D414yes—
502C2×C4×D59C2×D414yes—
503C2×Dic118—22no—
504C2×Dic118—41no—
505C2×Dic118—41no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—22no—
511C4⋊C4×C59—22no—
512C4⋊C4×C59—22no—
513C4⋊C4×C59—22no—
514C4⋊C4×C59—41no—
515C4⋊C4×C59—41no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
518C4⋊C4×C59C2×D414yes—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C42×C59—22no—
526C42×C59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4C2×D414yes—
572(C2×D59)⋊C4C2×D414yes—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—41no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591Dic59⋊C4—41no—
592C4×Dic59—22no—
593C4×Dic59—22no—
594C4×Dic59—22no—
595C4×Dic59—41no—
596C4×Dic59C2×D414yes—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C592−1+412yes—
604C23×C59C2511yescharacteristic
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59C22×D412yes—
645C22×D59C22×D412yes—
646C22×D59H(5,𝔽2)12yes—
647Q8×C59—44no—
648Q8×C59—82no—
649Q8×C59—82no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—44no—
689C2×C4×C59C22×D412yes—
690C2×C4×C59C22×D412yes—
691C2×C4×C59C22×D412yes—
692C2×C4×C59H(5,𝔽2)12yes—
693C22⋊D59—44no—
694C22⋊D59—44no—
695C22⋊D59—82no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—44no—
728C2×Dic59C22×D412yes—
729C2×Dic59C22×D412yes—
730D236—44no—
731D236—44no—
732D236—44no—
733D236—44no—
734D236—44no—
735D236—82no—
736D236—82no—
737D236—82no—
738D236—82no—
739C4×D59—28no—
740C4×D59—44no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745C4×D59—44no—
746C4×D59—82no—
747C4×D59—82no—
748Dic118—44no—
749#36712—591nomaximal, Sylow
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59C23×D411yescharacteristic
758C22×C59C2×H(5,𝔽2)11yescharacteristic
759C22×C59C2×H(5,𝔽2)11yescharacteristic
760C22×C59C2×2−1+411yescharacteristic
761C22×C59#58511yescharacteristic
762C22×C59#58511yescharacteristic
763C22×C59#58511yescharacteristic
764C2×D59—22no—
765C2×D59—22no—
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—416no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—22no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814Dic59—22no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825C2×#542—591no—
826C2×#525—591no—
827#2849—591no—
828#2848—591no—
829#2696—591no—
830#2695—591no—
831#2692—591no—
832#2691—591no—
833#2689—591no—
834#2686—591no—
835#2685—591no—
836#2684—591no—
837#2677D5911yescharacteristic, complemented
838#2676—591no—
839#2674—591no—
840#2674—591no—
841#2672—591no—
842#2671—591no—
843#2670—591no—
844#2668—591no—
845#2638—591no—
846#2630—591no—
847#2609—591no—
848#2602—591no—
849#2599—591no—
850#2598—591no—
851#2580—591no—
852#2564—591no—
853#2432—591no—
854#2430—591no—
855#2318—591no—
856C2×C59—42no—
857C2×C59#344911yescharacteristic
858C2×C59#348411yescharacteristic
859C2×C59#348911yescharacteristic
860C2×C59#353311yescharacteristic
861C2×C59#353511yescharacteristic
862C2×C59#354011yescharacteristic
863C2×C59#354111yescharacteristic
864D59—42no—
865D59—42no—
866D59—42no—
867D59—81no—
868D59—81no—
869C22×#41—591no—
870C24×C4—591no—
871#542—1188no—
872C2×C4⋊Q8C2×D5911yescharacteristic, complemented
873C2×C4⋊Q8C2×D5911yescharacteristic, complemented
874C2×#126—591no—
875C2×#126—591no—
876C2×#124—591no—
877C2×#124—591no—
878C2×#124—591no—
879C2×#124—591no—
880#525—1188no—
881C2×#123—591no—
882C2×#123—591no—
883C2×#123—591no—
884C2×#123—591no—
885C2×#123—591no—
886C2×C22⋊Q8—591no—
887C2×C22⋊Q8—591no—
888C2×C22⋊Q8—591no—
889C2×C22⋊Q8—591no—
890C2×C22⋊Q8—591no—
891C2×C22⋊Q8C2×D5911yescharacteristic
892C2×C22⋊Q8C2×D5911yescharacteristic
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#121—591no—
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×Q8—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×#117—591no—
907C2×#117—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#399—591no—
913#399C2×D5911yescharacteristic
914#398—591no—
915#398—591no—
916#398C2×D5911yescharacteristic, complemented
917#398C2×D5911yescharacteristic, complemented
918#397—591no—
919#397—591no—
920#397—591no—
921#397—591no—
922#397—591no—
923#397—591no—
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#395—591no—
929#395—591no—
930#395C2×D5911yescharacteristic, complemented
931#395C2×D5911yescharacteristic, complemented
932#394—591no—
933#394—591no—
934#394—591no—
935#394—591no—
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394—591no—
944#394—591no—
945#394—591no—
946#393—591no—
947#393—591no—
948#393—591no—
949#393—591no—
950#393—591no—
951#393C2×D5911yescharacteristic
952#392—591no—
953#392—591no—
954#392—591no—
955#392—591no—
956#391—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#389—591no—
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388C2×D5911yescharacteristic
973#388C2×D5911yescharacteristic
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387C2×D5911yescharacteristic, complemented
981#387C2×D5911yescharacteristic, complemented
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385C2×D5911yescharacteristic
1012#383—591no—
1013#382—591no—
1014#381—591no—
1015#381—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024C4×C22⋊C4—591no—
1025C2×#95—591no—
1026C59#3671211yescharacteristic, complemented, Sylow
1027C25—591no—
1028C2×#41—1184no—
1029C2×#41—2362no—
1030C2×#41—2362no—
1031C22×Q8—591no—
1032C22×Q8C22×D5911yescharacteristic
1033C22×Q8C22×D5911yescharacteristic
1034C22×Q8C22×D5911yescharacteristic
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4—591no—
1057C23×C4—1184no—
1058C23×C4—2362no—
1059C23×C4—2362no—
1060C23×C4C22×D5911yescharacteristic
1061C4⋊Q8—24no—
1062C4⋊Q8—42no—
1063#126—1184no—
1064#126—1184no—
1065#124—1184no—
1066#124—1184no—
1067#124—1184no—
1068#124—2362no—
1069#123—1184no—
1070#123—1184no—
1071#123—1184no—
1072#123—1184no—
1073#123—2362no—
1074C22⋊Q8—24no—
1075C22⋊Q8—42no—
1076C22⋊Q8—1184no—
1077C22⋊Q8—1184no—
1078C22⋊Q8—1184no—
1079C22⋊Q8—1184no—
1080C22⋊Q8—2362no—
1081#121—1184no—
1082#121—1184no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#120—1184no—
1087#120—1184no—
1088#120—2362no—
1089C4×Q8—1184no—
1090C4×D4—598no—
1091C4×D4—1184no—
1092C4×D4—1184no—
1093C4×D4—1184no—
1094#117—1184no—
1095#117—1184no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4C22×D5911yescharacteristic
1116C2×C4⋊C4C22×D5911yescharacteristic
1117C2×C4⋊C4C22×D5911yescharacteristic
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
1121C2×C4⋊C4C22×D5911yescharacteristic
1122C2×C4⋊C4C22×D5911yescharacteristic
1123C2×C4⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223C24—591no—
1224C24—591no—
1225C24—591no—
1226C24—591no—
1227C24—591no—
1228C24—1182no—
1229C24—1182no—
1230C24—1182no—
1231C24—2361no—
1232C24—2361no—
1233C24—2361no—
1234C24—2361no—
1235C24C23×D5911yescharacteristic
1236#41—23616no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—1182no—
1247C2×Q8—2361no—
1248C2×Q8—2361no—
1249C2×D4—594no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—594no—
1291C22×C4—594no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—23616no—
1328C22×C4—2361no—
1329C22×C4—2361no—
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C22×C4C23×D5911yescharacteristic
1341C22×C4C23×D5911yescharacteristic
1342C22×C4C23×D5911yescharacteristic
1343C22×C4C23×D5911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—1182no—
1361C4⋊C4—1182no—
1362C4⋊C4—1182no—
1363C4⋊C4—1182no—
1364C4⋊C4—1182no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4D4×D5914yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—594no—
1383C22⋊C4—594no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C42—22no—
1429C42—41no—
1430C42—594no—
1431C42—1182no—
1432C42—1182no—
1433C42—1182no—
1434C42—2361no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—592no—
1442C23—592no—
1443C23—592no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—2364no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23—2364no—
1481C23—2364no—
1482C23—2364no—
1483C23#1427377512yes—
1484C23C24×D5911yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—82no—
1488Q8—2364no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—4722no—
1494D4—2364no—
1495D4—2364no—
1496D4—2364no—
1497D4—2364no—
1498D4—2364no—
1499D4—2364no—
1500D4—2364no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—592no—
1541C2×C4—592no—
1542C2×C4—1188no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—4722no—
1575C2×C4—4722no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C2×C4—2364no—
1583C2×C4C2×D4×D5912yes—
1584C2×C4C2×D4×D5912yes—
1585C2×C4C2×D4×D5912yes—
1586C2×C4#1427377212yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—1182no—
1595C22—1182no—
1596C22—1182no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—1182no—
1601C22—1182no—
1602C22—1182no—
1603C22—23616no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22C22×D4×D5911yescharacteristic
1631C22H(5,𝔽2)×D5911yescharacteristic
1632C22C2×#1427377211yescharacteristic
1633C22C2×#1427377511yescharacteristic
1634C22#1683823911yescharacteristic
1635C22#1683823911yescharacteristic
1636C22#1683823911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—1182no—
1652C4—1182no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C2—42no—
1663C2—4721no—
1664C2—4721no—
1665C2—2362no—
1666C2—2362no—
1667C2—2362no—
1668C2#2143742811yescharacteristic
1669C2#2143772411yescharacteristic
1670C2#2143777311yescharacteristic
1671C2#2143827211yescharacteristic
1672C2#2143830611yescharacteristic
1673C2#2143837311yescharacteristic
1674C2#2143839411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2677C2
hypercenter#2677D59
hypocenterC59#36712
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#16838026C2semidirect
2. C2×#16837915C2semidirect
3. #21432391C2semidirect
4. #21432380C2semidirect
5. #21430644C2semidirect
6. #21430637C2semidirect
7. #21430588C2semidirect
8. #21430581C2semidirect
9. #21430546C2semidirect
10. #21430505C2semidirect
11. #21430484C2semidirect
12. #21430477C2semidirect
13. #21430393C2semidirect
14. #21430372C2semidirect
15. #21430372C2semidirect
16. #21430346C2semidirect
17. #21430339C2semidirect
18. #21430316C2semidirect
19. #21430305C2semidirect
20. #21430022C2semidirect
21. #21429946C2semidirect
22. #21429775C2semidirect
23. #21429713C2semidirect
24. #21429676C2semidirect
25. #21429660C2semidirect
26. #21429451C2semidirect
27. #21429273C2semidirect
28. #21427721C2semidirect
29. #21427707C2semidirect
30. #21426728C2semidirect
31. C59×#2677C2semidirect
36. C2×#14273722C22semidirect
39. C2×#14273716C22semidirect
46. C2×#14273712C22semidirect
47. C2×#14273707C22semidirect
51. C2×#14273703C22semidirect
55. C2×#14273702C22semidirect
60. C2×#14273692C22semidirect
66. C2×#14273684C22semidirect
67. #16837343C22semidirect
68. #16837342C22semidirect
70. #16837337C22semidirect
71. #16837337C22semidirect
72. #16837336C22semidirect
73. #16837332C22semidirect
75. #16837331C22semidirect
76. #16837329C22semidirect
81. #16837324C22semidirect
82. #16837324C22semidirect
83. #16837324C22semidirect
84. #16837322C22semidirect
85. #16837321C22semidirect
90. #16837320C22semidirect
95. #16837319C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
101. #16837315C22semidirect
103. #16837313C22semidirect
104. #16837313C22semidirect
109. #16837309C22semidirect
114. #16837297C22semidirect
115. #16837297C22semidirect
116. #16837297C22semidirect
119. #16837293C22semidirect
120. #16837293C22semidirect
124. #16837291C22semidirect
125. #16837288C22semidirect
126. #16837288C22semidirect
127. #16837288C22semidirect
128. #16837284C22semidirect
129. #16837284C22semidirect
130. #16837284C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
145. #16837276C22semidirect
155. #16837273C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837273C22semidirect
160. #16837269C22semidirect
161. #16837266C22semidirect
165. #16837261C22semidirect
166. #16837261C22semidirect
172. C4×(C2×D59)⋊C4C22semidirect
173. #95×D59C22semidirect
174. C2×C4⋊Q8×C59C22semidirect
175. C2×C4⋊Q8×C59C22semidirect
179. C59×#398C22semidirect
180. C59×#398C22semidirect
181. C59×#395C22semidirect
182. C59×#395C22semidirect
186. C59×#387C22semidirect
187. C59×#387C22semidirect
245. #14273689D4semidirect
837. #2677D59semidirect
872. C2×C4⋊Q8C2×D59semidirect
873. C2×C4⋊Q8C2×D59semidirect
916. #398C2×D59semidirect
917. #398C2×D59semidirect
930. #395C2×D59semidirect
931. #395C2×D59semidirect
980. #387C2×D59semidirect
981. #387C2×D59semidirect
1026. C59#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#168380262
C2×#168379152
#214323912
#214323802
#214306442
#214306372
#214305882
#214305812
#214305462
#214305052
#214304842
#214304772
#214303932
#214303722
#214303462
#214303392
#214303162
#214303052
#214300222
#214299462
#214297752
#214297132
#214296762
#214296602
#214294512
#214292732
#214277212
#214277072
#214267282
C59×#26772
#3671259