Finite Group Databasebeta

← #28798268

Subgroups — #28798268

Order 15104.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432397C211yesmaximal, characteristic, complemented
2#21431392C211yesmaximal, characteristic, complemented
3#21431384C211yesmaximal, characteristic, complemented
4#21431096C211yesmaximal, characteristic, complemented
5#21431087C211yesmaximal, characteristic, complemented
6#21430868C211yesmaximal, characteristic, complemented
7#21430862C211yesmaximal, characteristic, complemented
8#21430782C211yesmaximal, characteristic, complemented
9#21430781C211yesmaximal, characteristic, complemented
10#21430647C211yesmaximal, characteristic, complemented
11#21430640C211yesmaximal, characteristic, complemented
12#21430360C211yesmaximal, characteristic, complemented
13#21430357C211yesmaximal, characteristic, complemented
14#21430320C211yesmaximal, characteristic, complemented
15#21430317C211yesmaximal, characteristic, complemented
16#21430302C211yesmaximal, characteristic, complemented
17#21430299C211yesmaximal, characteristic, complemented
18#21430082C211yesmaximal, characteristic, complemented
19#21430080C211yesmaximal, characteristic, complemented
20#21429759C211yesmaximal, characteristic, complemented
21#21429202C211yesmaximal, characteristic, complemented
22#21429200C211yesmaximal, characteristic, complemented
23#21429025C211yesmaximal, characteristic, complemented
24#21428281C211yesmaximal, characteristic, complemented
25#21428279C211yesmaximal, characteristic, complemented
26#21427713C211yesmaximal, characteristic, complemented
27#21427413C211yesmaximal, characteristic, complemented
28#21426859C211yesmaximal, characteristic, complemented
29#21426690C211yesmaximal, characteristic, complemented
30#21426586C211yesmaximal, characteristic, complemented
31C59×#2850C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273723C2211yescharacteristic, complemented
34C2×#14273716C2211yescharacteristic
35C2×#14273715C2211yescharacteristic
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic
39C2×#14273712C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic
42C2×#14273706C2211yescharacteristic, complemented
43C2×#14273701C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273698C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×#14273686C2211yescharacteristic, complemented
52C2×C22⋊C4×D59C2211yescharacteristic
53#16837343C2211yescharacteristic, complemented
54#16837340C2211yescharacteristic, complemented
55#16837339C2211yescharacteristic
56#16837338C2211yescharacteristic
57#16837337C2211yescharacteristic
58#16837337C2211yescharacteristic
59#16837336C2211yescharacteristic, complemented
60#16837334C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic
62#16837330C2211yescharacteristic, complemented
63#16837329C2211yescharacteristic
64#16837329C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic
66#16837328C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic
69#16837326C2211yescharacteristic, complemented
70#16837324C2211yescharacteristic, complemented
71#16837320C2211yescharacteristic, complemented
72#16837319C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic
76#16837318C2211yescharacteristic
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837316C2211yescharacteristic
82#16837316C2211yescharacteristic, complemented
83#16837315C2211yescharacteristic
84#16837315C2211yescharacteristic
85#16837314C2211yescharacteristic
86#16837314C2211yescharacteristic, complemented
87#16837313C2211yescharacteristic
88#16837313C2211yescharacteristic, complemented
89#16837312C2211yescharacteristic
90#16837312C2211yescharacteristic
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837309C2211yescharacteristic, complemented
102#16837308C2211yescharacteristic, complemented
103#16837308C2211yescharacteristic, complemented
104#16837308C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837306C2211yescharacteristic, complemented
107#16837304C2211yescharacteristic
108#16837304C2211yescharacteristic
109#16837304C2211yescharacteristic
110#16837303C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837302C2211yescharacteristic, complemented
115#16837296C2211yescharacteristic
116#16837296C2211yescharacteristic, complemented
117#16837295C2211yescharacteristic
118#16837295C2211yescharacteristic
119#16837294C2211yescharacteristic
120#16837294C2211yescharacteristic
121#16837293C2211yescharacteristic
122#16837293C2211yescharacteristic
123#16837293C2211yescharacteristic, complemented
124#16837293C2211yescharacteristic, complemented
125#16837292C2211yescharacteristic
126#16837291C2211yescharacteristic
127#16837290C2211yescharacteristic
128#16837290C2211yescharacteristic, complemented
129#16837289C2211yescharacteristic, complemented
130#16837288C2211yescharacteristic, complemented
131#16837288C2211yescharacteristic, complemented
132#16837287C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837285C2211yescharacteristic, complemented
135#16837284C2211yescharacteristic, complemented
136#16837283C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic, complemented
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837280C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic
152#16837279C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837277C2211yescharacteristic, complemented
158#16837276C2211yescharacteristic, complemented
159#16837268C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837259C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C2×#124×C59C2211yescharacteristic
173C2×C22⋊Q8×C59C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C22×C42×C59C2211yescharacteristic, complemented
176C59×#391C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#382C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745685—24no—
189C2×#11745685—42no—
190C2×#11745685—42no—
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273723—42no—
214#14273716—42no—
215#14273715—42no—
216#14273713—42no—
217#14273713—42no—
218#14273712—42no—
219#14273712—42no—
220#14273711—42no—
221#14273709—42no—
222#14273706—42no—
223#14273701—42no—
224#14273700—24no—
225#14273699—42no—
226#14273698—42no—
227#14273697—42no—
228#14273697—42no—
229#14273695—42no—
230#14273695—42no—
231#14273686—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
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
293C22⋊C4×D59—24no—
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
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C22×Q8×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337#124×C59—42no—
338C22⋊Q8×C59—42no—
339#121×C59—42no—
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C42×C59—42no—
357C2×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C23×D59—22no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C23×D59C2411yescharacteristic
383C2×Q8×C59—22no—
384C2×Q8×C59—41no—
385C2×Q8×C59—41no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—22no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461#11745685—416no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
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×D236—41no—
475C2×D236—41no—
476C2×D236—41no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59#4114yes—
489C2×Dic118—22no—
490C2×Dic118—22no—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C42×C59—22no—
512C42×C59—22no—
513C42×C59—41no—
514C42×C59—41no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
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—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
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—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568Dic59⋊C4—22no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59H(5,𝔽2)12yes—
603C23×C59C2511yescharacteristic
604C22×D59—21no—
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—44no—
632C22×D59—82no—
633C22×D59—82no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59C2×#4112yes—
639Q8×C59—82no—
640D4×C59—82no—
641D4×C59—82no—
642D4×C59—82no—
643C2×C4×C59—28no—
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—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—44no—
677C2×C4×C59—44no—
678C2×C4×C59C2×#4112yes—
679C2×C4×C59H(5,𝔽2)12yes—
680C2×C4×C59H(5,𝔽2)12yes—
681C2×C4×C59H(5,𝔽2)12yes—
682C22⋊D59—44no—
683C22⋊D59—44no—
684C22⋊D59—82no—
685C22⋊D59—82no—
686C22⋊D59—82no—
687C22⋊D59—82no—
688C22⋊D59—82no—
689C22⋊D59—82no—
690C22⋊D59—82no—
691C22⋊D59—82no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
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—82no—
728C2×Dic59C2×#4112yes—
729D236—44no—
730D236—82no—
731D236—82no—
732D236—82no—
733D236—82no—
734C4×D59—44no—
735C4×D59—44no—
736C4×D59—82no—
737C4×D59—82no—
738Dic118—44no—
739Dic118—82no—
740#36818—591nomaximal, Sylow
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—22no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59C22×#4111yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59C2×H(5,𝔽2)11yescharacteristic
765C22×C59C2×H(5,𝔽2)11yescharacteristic
766C22×C59C2×H(5,𝔽2)11yescharacteristic
767C22×C59#58511yescharacteristic
768C22×C59#58511yescharacteristic
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—41no—
773C2×D59—41no—
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—88no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822#2850—591no—
823#2850D5911yescharacteristic, complemented
824#2754—591no—
825#2754—591no—
826#2730—591no—
827#2730—591no—
828#2712—591no—
829#2712—591no—
830#2706—591no—
831#2706—591no—
832#2696—591no—
833#2696—591no—
834#2673—591no—
835#2673—591no—
836#2670—591no—
837#2670—591no—
838#2668—591no—
839#2668—591no—
840#2648—591no—
841#2648—591no—
842#2607—591no—
843#2557—591no—
844#2557—591no—
845#2539—591no—
846#2476—591no—
847#2476—591no—
848#2431—591no—
849#2404—591no—
850#2333—591no—
851#2312—591no—
852#2297—591no—
853C2×C59—42no—
854C2×C59—81no—
855C2×C59—81no—
856C2×C59#345511yescharacteristic
857C2×C59#349011yescharacteristic
858C2×C59#350811yescharacteristic
859C2×C59#354211yescharacteristic
860C2×C59#354211yescharacteristic
861C2×C59#355811yescharacteristic
862C2×C59#355811yescharacteristic
863D59—42no—
864D59—81no—
865D59—81no—
866D59—81no—
867C22×#41—591no—
868C2×#127—591no—
869C2×#124—591no—
870C2×#124—591no—
871C2×#124—591no—
872C2×#124—591no—
873C2×#124C2×D5911yescharacteristic
874C2×#123—591no—
875C2×#123—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×C22⋊Q8—591no—
879C2×C22⋊Q8C2×D5911yescharacteristic, complemented
880C2×#121—591no—
881C2×#121—591no—
882C2×#121—591no—
883C2×#121—591no—
884C2×#121C2×D5911yescharacteristic
885C2×#120—591no—
886C2×#120—591no—
887C2×#120—591no—
888C2×#120—591no—
889C2×#117—591no—
890C22×C22⋊C4—591no—
891C22×C42C2×D5911yescharacteristic, complemented
892#400—591no—
893#400—591no—
894#399—591no—
895#399—591no—
896#399—591no—
897#399—591no—
898#398—591no—
899#398—591no—
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397—591no—
907#397—591no—
908#396—591no—
909#396—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#394—591no—
918#394—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#393—591no—
923#393—591no—
924#393—591no—
925#393—591no—
926#393—591no—
927#393—591no—
928#392—591no—
929#392—591no—
930#392—591no—
931#392—591no—
932#392—591no—
933#392—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391—591no—
942#391—591no—
943#391—591no—
944#391—591no—
945#391—591no—
946#391C2×D5911yescharacteristic, complemented
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390C2×D5911yescharacteristic
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388C2×D5911yescharacteristic
971#388C2×D5911yescharacteristic
972#388C2×D5911yescharacteristic, complemented
973#388C2×D5911yescharacteristic, complemented
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
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#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386C2×D5911yescharacteristic
1003#386C2×D5911yescharacteristic
1004#386C2×D5911yescharacteristic, complemented
1005#386C2×D5911yescharacteristic, complemented
1006#385—591no—
1007#385—591no—
1008#382—591no—
1009#382C2×D5911yescharacteristic, complemented
1010#381—591no—
1011#380—591no—
1012#380—591no—
1013#379—591no—
1014#379—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C59#3681811yescharacteristic, complemented, Sylow
1023C25—591no—
1024C2×#41—1184no—
1025C2×#41—2362no—
1026C2×#41—2362no—
1027C22×Q8—591no—
1028C22×Q8—591no—
1029C22×Q8C22×D5911yescharacteristic
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
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×D4C22×D5911yescharacteristic
1046C22×D4C22×D5911yescharacteristic
1047C22×D4C22×D5911yescharacteristic
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4C22×D5911yescharacteristic
1054C23×C4C22×D5911yescharacteristic
1055C23×C4C22×D5911yescharacteristic
1056#127—2362no—
1057#124—42no—
1058#124—2362no—
1059#124—2362no—
1060#124—2362no—
1061#124—2362no—
1062#123—2362no—
1063#123—2362no—
1064#123—2362no—
1065#123—2362no—
1066C22⋊Q8—42no—
1067C22⋊Q8—2362no—
1068#121—42no—
1069#121—1184no—
1070#121—2362no—
1071#121—2362no—
1072#121—2362no—
1073#120—2362no—
1074#120—2362no—
1075#120—2362no—
1076#120—2362no—
1077#117—2362no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
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—1184no—
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C42—42no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42C22×D5911yescharacteristic
1164C2×C42C22×D5911yescharacteristic
1165C2×C42C22×D5911yescharacteristic
1166C2×C42C22×D5911yescharacteristic
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
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#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205C24—591no—
1206C24—591no—
1207C24—591no—
1208C24—591no—
1209C24—1182no—
1210C24—2361no—
1211C24—2361no—
1212C24—2361no—
1213C24—2361no—
1214C24—2361no—
1215C24—2361no—
1216C24C23×D5911yescharacteristic
1217C24C23×D5911yescharacteristic
1218C24C23×D5911yescharacteristic
1219#41—23616no—
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—1182no—
1224C2×Q8—1182no—
1225C2×Q8—1182no—
1226C2×Q8—2361no—
1227C2×Q8—2361no—
1228C2×Q8—2361no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
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—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—591no—
1293C22×C4—594no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—1182no—
1336C4⋊C4—1182no—
1337C4⋊C4—1182no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C42—22no—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—592no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
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—4722no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—4722no—
1472C23—2364no—
1473C23#1427377312yes—
1474C23C24×D5911yescharacteristic
1475Q8—82no—
1476Q8—4722no—
1477Q8—2364no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—4722no—
1482D4—4722no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—2364no—
1494D4—2364no—
1495D4—2364no—
1496C2×C4—28no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—44no—
1530C2×C4—44no—
1531C2×C4—592no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
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—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4#41×D5912yes—
1573C2×C4#1427377212yes—
1574C2×C4#1427377212yes—
1575C2×C4#1427377312yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—4728no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
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—
1626C22C2×#41×D5911yescharacteristic
1627C22C2×#1427377211yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C22C2×#1427377311yescharacteristic
1630C22C2×#1427377311yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1182no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—4721no—
1661C2—4721no—
1662C2—4721no—
1663C2—2362no—
1664C2#2143747911yescharacteristic
1665C2#2143777911yescharacteristic
1666C2#2143796511yescharacteristic
1667C2#2143841211yescharacteristic
1668C2#2143841611yescharacteristic
1669C2#2143861211yescharacteristic
1670C2#2143861511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2850C2
hypercenter#2850D59
hypocenterC59#36818
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #21432397C2semidirect
2. #21431392C2semidirect
3. #21431384C2semidirect
4. #21431096C2semidirect
5. #21431087C2semidirect
6. #21430868C2semidirect
7. #21430862C2semidirect
8. #21430782C2semidirect
9. #21430781C2semidirect
10. #21430647C2semidirect
11. #21430640C2semidirect
12. #21430360C2semidirect
13. #21430357C2semidirect
14. #21430320C2semidirect
15. #21430317C2semidirect
16. #21430302C2semidirect
17. #21430299C2semidirect
18. #21430082C2semidirect
19. #21430080C2semidirect
20. #21429759C2semidirect
21. #21429202C2semidirect
22. #21429200C2semidirect
23. #21429025C2semidirect
24. #21428281C2semidirect
25. #21428279C2semidirect
26. #21427713C2semidirect
27. #21427413C2semidirect
28. #21426859C2semidirect
29. #21426690C2semidirect
30. #21426586C2semidirect
31. C59×#2850C2semidirect
33. C2×#14273723C22semidirect
37. C2×#14273713C22semidirect
39. C2×#14273712C22semidirect
40. C2×#14273711C22semidirect
42. C2×#14273706C22semidirect
51. C2×#14273686C22semidirect
53. #16837343C22semidirect
54. #16837340C22semidirect
59. #16837336C22semidirect
60. #16837334C22semidirect
62. #16837330C22semidirect
64. #16837329C22semidirect
66. #16837328C22semidirect
67. #16837328C22semidirect
69. #16837326C22semidirect
70. #16837324C22semidirect
71. #16837320C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
82. #16837316C22semidirect
86. #16837314C22semidirect
88. #16837313C22semidirect
101. #16837309C22semidirect
102. #16837308C22semidirect
103. #16837308C22semidirect
104. #16837308C22semidirect
105. #16837306C22semidirect
106. #16837306C22semidirect
114. #16837302C22semidirect
116. #16837296C22semidirect
123. #16837293C22semidirect
124. #16837293C22semidirect
128. #16837290C22semidirect
129. #16837289C22semidirect
130. #16837288C22semidirect
131. #16837288C22semidirect
132. #16837287C22semidirect
133. #16837285C22semidirect
134. #16837285C22semidirect
135. #16837284C22semidirect
136. #16837283C22semidirect
142. #16837281C22semidirect
143. #16837281C22semidirect
144. #16837281C22semidirect
145. #16837281C22semidirect
150. #16837280C22semidirect
152. #16837279C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837277C22semidirect
158. #16837276C22semidirect
159. #16837268C22semidirect
165. C22⋊C4×Dic59C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
171. #16837249C22semidirect
173. C2×C22⋊Q8×C59C22semidirect
175. C22×C42×C59C22semidirect
176. C59×#391C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#382C22semidirect
823. #2850D59semidirect
879. C2×C22⋊Q8C2×D59semidirect
891. C22×C42C2×D59semidirect
946. #391C2×D59semidirect
972. #388C2×D59semidirect
973. #388C2×D59semidirect
1004. #386C2×D59semidirect
1005. #386C2×D59semidirect
1009. #382C2×D59semidirect
1022. C59#36818semidirect

Maximal subgroups

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

subgroupindex
#214323972
#214313922
#214313842
#214310962
#214310872
#214308682
#214308622
#214307822
#214307812
#214306472
#214306402
#214303602
#214303572
#214303202
#214303172
#214303022
#214302992
#214300822
#214300802
#214297592
#214292022
#214292002
#214290252
#214282812
#214282792
#214277132
#214274132
#214268592
#214266902
#214265862
C59×#28502
#3681859