Finite Group Databasebeta

← #28796005

Subgroups — #28796005

Order 15104.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432389C211yesmaximal, characteristic, complemented
2#21432379C211yesmaximal, characteristic, complemented
3#21431301C211yesmaximal, characteristic, complemented
4#21431202C211yesmaximal, characteristic, complemented
5#21431188C211yesmaximal, characteristic, complemented
6#21431158C211yesmaximal, characteristic, complemented
7#21431157C211yesmaximal, characteristic, complemented
8#21430938C211yesmaximal, characteristic, complemented
9#21430738C211yesmaximal, characteristic, complemented
10#21430654C211yesmaximal, characteristic, complemented
11#21430653C211yesmaximal, characteristic, complemented
12#21430608C211yesmaximal, characteristic, complemented
13#21430539C211yesmaximal, characteristic, complemented
14#21430509C211yesmaximal, characteristic, complemented
15#21430479C211yesmaximal, characteristic, complemented
16#21430426C211yesmaximal, characteristic, complemented
17#21430346C211yesmaximal, characteristic, complemented
18#21430316C211yesmaximal, characteristic, complemented
19#21430222C211yesmaximal, characteristic, complemented
20#21429654C211yesmaximal, characteristic, complemented
21#21429437C211yesmaximal, characteristic, complemented
22#21429202C211yesmaximal, characteristic, complemented
23#21429202C211yesmaximal, characteristic, complemented
24#21428304C211yesmaximal, characteristic, complemented
25#21428289C211yesmaximal, characteristic, complemented
26#21428259C211yesmaximal, characteristic, complemented
27#21428214C211yesmaximal, characteristic, complemented
28#21426882C211yesmaximal, characteristic, complemented
29#21426858C211yesmaximal, characteristic, complemented
30#21426477C211yesmaximal, characteristic, complemented
31C59×#2665C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273716C2211yescharacteristic
34C2×#14273716C2211yescharacteristic
35C2×#14273716C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273711C2211yescharacteristic
40C2×#14273710C2211yescharacteristic
41C2×#14273703C2211yescharacteristic, complemented
42C2×#14273702C2211yescharacteristic
43C2×#14273702C2211yescharacteristic
44C2×#14273702C2211yescharacteristic
45C2×#14273701C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×#14273684C2211yescharacteristic
50C2×#14273684C2211yescharacteristic
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837341C2211yescharacteristic, complemented
54#16837337C2211yescharacteristic, complemented
55#16837335C2211yescharacteristic, complemented
56#16837334C2211yescharacteristic, complemented
57#16837331C2211yescharacteristic
58#16837331C2211yescharacteristic
59#16837331C2211yescharacteristic, complemented
60#16837331C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic
63#16837329C2211yescharacteristic
64#16837329C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic
66#16837328C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837328C2211yescharacteristic, complemented
69#16837324C2211yescharacteristic
70#16837324C2211yescharacteristic, complemented
71#16837321C2211yescharacteristic, complemented
72#16837320C2211yescharacteristic
73#16837320C2211yescharacteristic
74#16837320C2211yescharacteristic
75#16837320C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic, complemented
77#16837319C2211yescharacteristic
78#16837319C2211yescharacteristic
79#16837319C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837318C2211yescharacteristic
82#16837313C2211yescharacteristic
83#16837313C2211yescharacteristic, complemented
84#16837313C2211yescharacteristic, complemented
85#16837312C2211yescharacteristic
86#16837312C2211yescharacteristic
87#16837312C2211yescharacteristic
88#16837312C2211yescharacteristic, complemented
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic
91#16837304C2211yescharacteristic, complemented
92#16837304C2211yescharacteristic, complemented
93#16837303C2211yescharacteristic
94#16837303C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837297C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic
100#16837294C2211yescharacteristic
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837293C2211yescharacteristic, complemented
104#16837292C2211yescharacteristic
105#16837292C2211yescharacteristic
106#16837292C2211yescharacteristic, complemented
107#16837291C2211yescharacteristic
108#16837291C2211yescharacteristic
109#16837291C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic
115#16837289C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837287C2211yescharacteristic, complemented
118#16837285C2211yescharacteristic, complemented
119#16837285C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837269C2211yescharacteristic, complemented
152#16837264C2211yescharacteristic
153#16837264C2211yescharacteristic
154#16837263C2211yescharacteristic
155#16837261C2211yescharacteristic
156#16837261C2211yescharacteristic
157#16837260C2211yescharacteristic
158#16837260C2211yescharacteristic
159#16837259C2211yescharacteristic
160#16837259C2211yescharacteristic
161#16837259C2211yescharacteristic, complemented
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837253C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic
168C4×C22⋊Dic59C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#396C2211yescharacteristic
175C59×#396C2211yescharacteristic
176C59×#395C2211yescharacteristic, complemented
177C59×#395C2211yescharacteristic, complemented
178C59×#393C2211yescharacteristic
179C59×#393C2211yescharacteristic
180C59×#391C2211yescharacteristic, complemented
181C59×#391C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—24no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273716—42no—
212#14273716—42no—
213#14273716—42no—
214#14273712—42no—
215#14273712—42no—
216#14273712—42no—
217#14273711—42no—
218#14273710—24no—
219#14273703—42no—
220#14273702—42no—
221#14273702—42no—
222#14273702—42no—
223#14273701—24no—
224#14273697—42no—
225#14273697—42no—
226#14273697—42no—
227#14273684—42no—
228#14273684—42no—
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×(C2×D59)⋊C4C2311yescharacteristic
249C2×(C2×D59)⋊C4C2311yescharacteristic
250C2×(C2×D59)⋊C4C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C22×Q8×C59C2311yescharacteristic
329C22×Q8×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C42×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C23×D59—22no—
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—41no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59C2411yescharacteristic
372C23×D59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×Q8×C59—41no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×Q8×C59—41no—
380C2×Q8×C59—41no—
381C2×Q8×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59#4114yes—
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C2×C22⋊D59—22no—
400C2×C22⋊D59—22no—
401C2×C22⋊D59—22no—
402C2×C22⋊D59—41no—
403C2×C22⋊D59—41no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C22×Dic59—22no—
409C22×Dic59—22no—
410C22×Dic59—41no—
411C22×Dic59C2411yescharacteristic
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C2×D236—22no—
423C2×D236—22no—
424C2×D236—22no—
425C2×D236—22no—
426C2×D236—22no—
427C2×D236—22no—
428C2×D236—22no—
429C2×D236—41no—
430C2×D236—41no—
431C2×D236—41no—
432C2×D236—41no—
433C2×D236—41no—
434C2×D236—41no—
435C2×D236—41no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—416no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C42×C59—41no—
486C42×C59—41no—
487C22⋊Dic59—22no—
488C22⋊Dic59—41no—
489C22⋊Dic59—41no—
490(C2×D59)⋊C4—22no—
491(C2×D59)⋊C4—22no—
492(C2×D59)⋊C4—22no—
493(C2×D59)⋊C4—22no—
494(C2×D59)⋊C4—22no—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
508(C2×D59)⋊C4—41no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535C4⋊Dic59—22no—
536C4⋊Dic59—22no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551C4×Dic59—41no—
552C4×Dic59—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59C2×#4112yes—
565C23×C59C2511yescharacteristic
566C22×D59—21no—
567C22×D59—21no—
568C22×D59—21no—
569C22×D59—21no—
570C22×D59—21no—
571C22×D59—21no—
572C22×D59—21no—
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—44no—
605C22×D59—44no—
606C22×D59H(5,𝔽2)12yes—
607C22×D59H(5,𝔽2)12yes—
608Q8×C59—82no—
609Q8×C59—82no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—44no—
651C2×C4×C59C2×#4112yes—
652C2×C4×C59C2×#4112yes—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C22⋊D59—82no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—44no—
689C2×Dic59H(5,𝔽2)12yes—
690D236—82no—
691D236—82no—
692D236—82no—
693D236—82no—
694D236—82no—
695D236—82no—
696D236—82no—
697D236—82no—
698D236—82no—
699C4×D59—28no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—82no—
704C4×D59—82no—
705C4×D59—82no—
706#36735—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59C22×#4111yescharacteristic
715C22×C59C2×H(5,𝔽2)11yescharacteristic
716C22×C59C2×H(5,𝔽2)11yescharacteristic
717C22×C59C2×H(5,𝔽2)11yescharacteristic
718C22×C59#58511yescharacteristic
719C22×C59#58511yescharacteristic
720C22×C59#58511yescharacteristic
721C2×D59—22no—
722C2×D59—22no—
723C2×D59—22no—
724C2×D59—22no—
725C2×D59—22no—
726C2×D59—22no—
727C2×D59—416no—
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
733C2×D59—41no—
734C2×D59—41no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771Dic59—22no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2849—591no—
783#2847—591no—
784#2747—591no—
785#2740—591no—
786#2739—591no—
787#2737—591no—
788#2737—591no—
789#2717—591no—
790#2703—591no—
791#2697—591no—
792#2696—591no—
793#2693—591no—
794#2688—591no—
795#2686—591no—
796#2684—591no—
797#2678—591no—
798#2672—591no—
799#2670—591no—
800#2665D5911yescharacteristic, complemented
801#2661—591no—
802#2597—591no—
803#2578—591no—
804#2557—591no—
805#2557—591no—
806#2477—591no—
807#2476—591no—
808#2474—591no—
809#2471—591no—
810#2335—591no—
811#2333—591no—
812#2280—591no—
813C2×C59—42no—
814C2×C59#345511yescharacteristic
815C2×C59#349011yescharacteristic
816C2×C59#349411yescharacteristic
817C2×C59#353311yescharacteristic
818C2×C59#353411yescharacteristic
819C2×C59#354011yescharacteristic
820C2×C59#354211yescharacteristic
821D59—42no—
822D59—42no—
823D59—81no—
824D59—81no—
825D59—81no—
826C24×C4—591no—
827C2×#124—591no—
828C2×#124—591no—
829C2×#124—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#123—591no—
833C2×#123—591no—
834C2×#123—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121—591no—
839C2×#121—591no—
840C2×#120—591no—
841C2×#120—591no—
842C2×#120—591no—
843C2×#117—591no—
844C2×#117—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#400C2×D5911yescharacteristic, complemented
849#400C2×D5911yescharacteristic, complemented
850#399—591no—
851#398—591no—
852#398—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#396—591no—
866#396—591no—
867#396C2×D5911yescharacteristic
868#396C2×D5911yescharacteristic
869#395—591no—
870#395C2×D5911yescharacteristic, complemented
871#395C2×D5911yescharacteristic, complemented
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#393—591no—
883#393—591no—
884#393—591no—
885#393C2×D5911yescharacteristic
886#393C2×D5911yescharacteristic
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392—591no—
893#391C2×D5911yescharacteristic, complemented
894#391C2×D5911yescharacteristic, complemented
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#389—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#387—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#387—591no—
924#387—591no—
925#387—591no—
926#387—591no—
927#387—591no—
928#387—591no—
929#387C2×D5911yescharacteristic, complemented
930#387C2×D5911yescharacteristic, complemented
931#386—591no—
932#386—591no—
933#386—591no—
934#386—591no—
935#386—591no—
936#386—591no—
937#386—591no—
938#386—591no—
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#385—591no—
952#385—591no—
953#385—591no—
954#385—591no—
955#385—591no—
956#385—591no—
957#383—591no—
958#381—591no—
959#381—591no—
960#381—591no—
961#381C2×D5911yescharacteristic
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380—591no—
967#380—591no—
968#380—591no—
969#380C2×D5911yescharacteristic
970#379—591no—
971#379—591no—
972#379—591no—
973C4×C4⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C4×C22⋊C4—591no—
980C4×C22⋊C4C2×D5911yescharacteristic
981C59#3673511yescharacteristic, complemented, Sylow
982C25—591no—
983C22×Q8C22×D5911yescharacteristic
984C22×Q8C22×D5911yescharacteristic
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—1184no—
1006C23×C4—2362no—
1007C23×C4—2362no—
1008C23×C4C22×D5911yescharacteristic
1009#124—2362no—
1010#124—2362no—
1011#124—2362no—
1012#123—1184no—
1013#123—2362no—
1014#123—2362no—
1015#123—2362no—
1016#123—2362no—
1017C22⋊Q8—2362no—
1018#121—1184no—
1019#121—2362no—
1020#121—2362no—
1021#121—2362no—
1022#120—2362no—
1023#120—2362no—
1024#120—2362no—
1025#117—2362no—
1026#117—2362no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C4⋊C4C22×D5911yescharacteristic
1048C2×C4⋊C4C22×D5911yescharacteristic
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95C22×D5911yescharacteristic
1143#95C22×D5911yescharacteristic
1144#95C22×D5911yescharacteristic
1145#95C22×D5911yescharacteristic
1146#95C22×D5911yescharacteristic
1147#95C22×D5911yescharacteristic
1148#95C22×D5911yescharacteristic
1149#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—591no—
1159C24—591no—
1160C24—591no—
1161C24—591no—
1162C24—591no—
1163C24—1182no—
1164C24—1182no—
1165C24—1182no—
1166C24—2361no—
1167C24—2361no—
1168C24—2361no—
1169C24—2361no—
1170C24C23×D5911yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×D4—1182no—
1178C2×D4—1182no—
1179C2×D4—1182no—
1180C2×D4—1182no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—2361no—
1188C2×D4—2361no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
1202C2×D4—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—591no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—1182no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—23616no—
1250C22×C4—2361no—
1251C22×C4#1174568914yes—
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—1182no—
1275C4⋊C4—1182no—
1276C4⋊C4—1182no—
1277C4⋊C4—1182no—
1278C4⋊C4—1182no—
1279C4⋊C4—1182no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—1182no—
1297C22⋊C4—1182no—
1298C22⋊C4—1182no—
1299C22⋊C4—1182no—
1300C22⋊C4—1182no—
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—1182no—
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—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—41no—
1345C42—41no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—592no—
1360C23—592no—
1361C23—1181no—
1362C23—1181no—
1363C23—1181no—
1364C23—1181no—
1365C23—1181no—
1366C23—1181no—
1367C23—1181no—
1368C23—1181no—
1369C23—1181no—
1370C23—1181no—
1371C23—1181no—
1372C23—1181no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—2364no—
1395C23—2364no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23—2364no—
1400C23—2364no—
1401C23C2×#1174568912yes—
1402C23C24×D5911yescharacteristic
1403Q8—82no—
1404Q8—82no—
1405D4—4722no—
1406D4—4722no—
1407D4—4722no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—4722no—
1415D4—4722no—
1416D4—4722no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—592no—
1459C2×C4—1188no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—4722no—
1493C2×C4—4722no—
1494C2×C4—4722no—
1495C2×C4—2364no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4C2×#1174568912yes—
1500C2×C4C2×#1174568912yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—1182no—
1509C22—1182no—
1510C22—1182no—
1511C22—1182no—
1512C22—1182no—
1513C22—1182no—
1514C22—23616no—
1515C22—2361no—
1516C22—2361no—
1517C22—2361no—
1518C22—2361no—
1519C22—2361no—
1520C22—2361no—
1521C22—2361no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22C22×#1174568911yescharacteristic
1545C22H(5,𝔽2)×D5911yescharacteristic
1546C22H(5,𝔽2)×D5911yescharacteristic
1547C22H(5,𝔽2)×D5911yescharacteristic
1548C22#1683823811yescharacteristic
1549C22#1683823811yescharacteristic
1550C22#1683823911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—1182no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—42no—
1577C2—4721no—
1578C2—4721no—
1579C2—4721no—
1580C2—2362no—
1581C2—2362no—
1582C2#2143748811yescharacteristic
1583C2#2143778611yescharacteristic
1584C2#2143783411yescharacteristic
1585C2#2143825911yescharacteristic
1586C2#2143828511yescharacteristic
1587C2#2143836111yescharacteristic
1588C2#2143841111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2665C2
hypercenter#2665D59
hypocenterC59#36735
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2665

Complements

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

NH ≅ G/Ntype
1. #21432389C2semidirect
2. #21432379C2semidirect
3. #21431301C2semidirect
4. #21431202C2semidirect
5. #21431188C2semidirect
6. #21431158C2semidirect
7. #21431157C2semidirect
8. #21430938C2semidirect
9. #21430738C2semidirect
10. #21430654C2semidirect
11. #21430653C2semidirect
12. #21430608C2semidirect
13. #21430539C2semidirect
14. #21430509C2semidirect
15. #21430479C2semidirect
16. #21430426C2semidirect
17. #21430346C2semidirect
18. #21430316C2semidirect
19. #21430222C2semidirect
20. #21429654C2semidirect
21. #21429437C2semidirect
22. #21429202C2semidirect
23. #21429202C2semidirect
24. #21428304C2semidirect
25. #21428289C2semidirect
26. #21428259C2semidirect
27. #21428214C2semidirect
28. #21426882C2semidirect
29. #21426858C2semidirect
30. #21426477C2semidirect
31. C59×#2665C2semidirect
38. C2×#14273712C22semidirect
41. C2×#14273703C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837341C22semidirect
54. #16837337C22semidirect
55. #16837335C22semidirect
56. #16837334C22semidirect
59. #16837331C22semidirect
60. #16837331C22semidirect
61. #16837331C22semidirect
64. #16837329C22semidirect
66. #16837328C22semidirect
67. #16837328C22semidirect
68. #16837328C22semidirect
70. #16837324C22semidirect
71. #16837321C22semidirect
75. #16837320C22semidirect
76. #16837320C22semidirect
83. #16837313C22semidirect
84. #16837313C22semidirect
88. #16837312C22semidirect
91. #16837304C22semidirect
92. #16837304C22semidirect
98. #16837297C22semidirect
101. #16837294C22semidirect
102. #16837293C22semidirect
103. #16837293C22semidirect
106. #16837292C22semidirect
109. #16837291C22semidirect
110. #16837291C22semidirect
111. #16837291C22semidirect
112. #16837291C22semidirect
113. #16837291C22semidirect
115. #16837289C22semidirect
116. #16837287C22semidirect
117. #16837287C22semidirect
118. #16837285C22semidirect
119. #16837285C22semidirect
120. #16837285C22semidirect
121. #16837284C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
124. #16837283C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837269C22semidirect
161. #16837259C22semidirect
165. #16837253C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
176. C59×#395C22semidirect
177. C59×#395C22semidirect
180. C59×#391C22semidirect
181. C59×#391C22semidirect
182. C59×#387C22semidirect
183. C59×#387C22semidirect
800. #2665D59semidirect
848. #400C2×D59semidirect
849. #400C2×D59semidirect
870. #395C2×D59semidirect
871. #395C2×D59semidirect
893. #391C2×D59semidirect
894. #391C2×D59semidirect
929. #387C2×D59semidirect
930. #387C2×D59semidirect
981. C59#36735semidirect

Maximal subgroups

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

subgroupindex
#214323892
#214323792
#214313012
#214312022
#214311882
#214311582
#214311572
#214309382
#214307382
#214306542
#214306532
#214306082
#214305392
#214305092
#214304792
#214304262
#214303462
#214303162
#214302222
#214296542
#214294372
#214292022
#214283042
#214282892
#214282592
#214282142
#214268822
#214268582
#214264772
C59×#26652
#3673559