Finite Group Databasebeta

← #28761691

Subgroups — #28761691

Order 15104.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838000C211yesmaximal, characteristic, complemented
2C2×#16837986C211yesmaximal, characteristic, complemented
3#21432463C211yesmaximal, characteristic, complemented
4#21432423C211yesmaximal, characteristic, complemented
5#21432394C211yesmaximal, characteristic, complemented
6#21430257C211yesmaximal, characteristic, complemented
7#21430248C211yesmaximal, characteristic, complemented
8#21430235C211yesmaximal, characteristic, complemented
9#21430228C211yesmaximal, characteristic, complemented
10#21429239C211yesmaximal, characteristic, complemented
11#21429230C211yesmaximal, characteristic, complemented
12#21429207C211yesmaximal, characteristic, complemented
13#21429202C211yesmaximal, characteristic, complemented
14#21429105C211yesmaximal, characteristic, complemented
15#21429061C211yesmaximal, characteristic, complemented
16#21429025C211yesmaximal, characteristic, complemented
17#21428990C211yesmaximal, characteristic, complemented
18#21428805C211yesmaximal, characteristic, complemented
19#21428767C211yesmaximal, characteristic, complemented
20#21428429C211yesmaximal, characteristic, complemented
21#21428228C211yesmaximal, characteristic, complemented
22#21428108C211yesmaximal, characteristic, complemented
23#21428061C211yesmaximal, characteristic, complemented
24#21427652C211yesmaximal, characteristic, complemented
25#21427637C211yesmaximal, characteristic, complemented
26#21426766C211yesmaximal, characteristic, complemented
27#21426749C211yesmaximal, characteristic, complemented
28#21426608C211yesmaximal, characteristic, complemented
29#388×D59C211yesmaximal, characteristic, complemented
30C42×D236C211yesmaximal, characteristic, complemented
31C59×#2861C211yesmaximal, characteristic, complemented
32#16838000—28no—
33#16837986—28no—
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273721C2211yescharacteristic
36C2×#14273721C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273716C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273711C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic
48C2×#14273707C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic
50C2×#14273705C2211yescharacteristic, complemented
51C2×#14273703C2211yescharacteristic
52C2×#14273702C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273700C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×C4×D236C2211yescharacteristic
62C2×C4×D236C2211yescharacteristic
63C2×C4×D236C2211yescharacteristic
64C2×#14273689C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
67C2×C4⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837340C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic
76#16837337C2211yescharacteristic
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837333C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837329C2211yescharacteristic, complemented
84#16837328C2211yescharacteristic
85#16837325C2211yescharacteristic
86#16837325C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic
88#16837324C2211yescharacteristic
89#16837323C2211yescharacteristic, complemented
90#16837321C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic
98#16837316C2211yescharacteristic
99#16837314C2211yescharacteristic
100#16837313C2211yescharacteristic, complemented
101#16837312C2211yescharacteristic
102#16837311C2211yescharacteristic
103#16837311C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic
105#16837306C2211yescharacteristic, complemented
106#16837304C2211yescharacteristic
107#16837304C2211yescharacteristic
108#16837304C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic, complemented
113#16837300C2211yescharacteristic, complemented
114#16837300C2211yescharacteristic, complemented
115#16837300C2211yescharacteristic, complemented
116#16837299C2211yescharacteristic, complemented
117#16837297C2211yescharacteristic, complemented
118#16837297C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic
120#16837296C2211yescharacteristic, complemented
121#16837295C2211yescharacteristic
122#16837295C2211yescharacteristic
123#16837294C2211yescharacteristic
124#16837294C2211yescharacteristic, complemented
125#16837293C2211yescharacteristic
126#16837293C2211yescharacteristic
127#16837293C2211yescharacteristic
128#16837293C2211yescharacteristic, complemented
129#16837293C2211yescharacteristic, complemented
130#16837293C2211yescharacteristic, complemented
131#16837292C2211yescharacteristic
132#16837292C2211yescharacteristic
133#16837291C2211yescharacteristic
134#16837291C2211yescharacteristic
135#16837290C2211yescharacteristic
136#16837290C2211yescharacteristic
137#16837289C2211yescharacteristic, complemented
138#16837285C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic
153#16837276C2211yescharacteristic
154#16837274C2211yescharacteristic, complemented
155#16837266C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic
157#16837261C2211yescharacteristic
158#16837261C2211yescharacteristic, complemented
159#16837257C2211yescharacteristic
160C4×C4⋊Dic59C2211yescharacteristic, complemented
161C4×C4⋊Dic59C2211yescharacteristic, complemented
162C4×C4⋊Dic59C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#125×C59C2211yescharacteristic, complemented
175C2×#124×C59C2211yescharacteristic
176C59×#391C2211yescharacteristic, complemented
177C59×#391C2211yescharacteristic, complemented
178C59×#390C2211yescharacteristic
179C59×#390C2211yescharacteristic
180C59×#388C2211yescharacteristic
181C59×#388C2211yescharacteristic
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#388C2211yescharacteristic, complemented
188C43×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273722—24no—
214#14273721—24no—
215#14273721—24no—
216#14273720—24no—
217#14273717—24no—
218#14273716—24no—
219#14273713—42no—
220#14273712—24no—
221#14273712—24no—
222#14273712—24no—
223#14273712—24no—
224#14273711—24no—
225#14273709—24no—
226#14273709—24no—
227#14273707—24no—
228#14273705—24no—
229#14273705—24no—
230#14273703—24no—
231#14273702—24no—
232#14273700—24no—
233#14273700—24no—
234#14273700—24no—
235#14273700—42no—
236#14273699—24no—
237#14273697—24no—
238#14273697—24no—
239#14273695—24no—
240C4×D236—24no—
241C4×D236—24no—
242C4×D236D418yescomplemented
243#14273689—24no—
244(C22⋊D59)⋊C4—24no—
245(C22⋊D59)⋊C4—42no—
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
270C4⋊C4×D59—24no—
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
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
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C22⋊C4×D59—42no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C42×D59—42no—
323C42×D59—42no—
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
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350#125×C59—24no—
351#124×C59—24no—
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375C2×C42×C59C2311yescharacteristic
376C2×C42×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
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×Q8×C59—41no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C2×D4×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
416C22×C4×C59C2411yescharacteristic
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—22no—
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—
435C22×Dic59—22no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
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×D236C2×D414yes—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
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—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59C2×D414yes—
493C2×C4×D59C2×D414yes—
494C2×C4×D59#4114yes—
495C2×Dic118—22no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C42×C59—22no—
517C42×C59—22no—
518C42×C59—22no—
519C42×C59—41no—
520C42×C59—41no—
521C42×C59—41no—
522C42×C59C2×D414yes—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
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—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
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)⋊C4C2×D414yes—
561(C2×D59)⋊C4C2×D414yes—
562(C2×D59)⋊C4#4114yes—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—41no—
569C4⋊Dic59—41no—
570C4⋊Dic59C2×D414yes—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
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—
587C4×Dic59—22no—
588C4×Dic59—22no—
589C4×Dic59—22no—
590C4×Dic59—22no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59C2511yescharacteristic
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—44no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59C22×D412yes—
642C22×D59C22×D412yes—
643C22×D59C2×#4112yes—
644C22×D59C2×#4112yes—
645Q8×C59—82no—
646D4×C59—82no—
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—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59C22×D412yes—
681C2×C4×C59C22×D412yes—
682C2×C4×C59C22×D412yes—
683C2×C4×C59C2×#4112yes—
684C2×C4×C59C2×#4112yes—
685C2×C4×C59H(5,𝔽2)12yes—
686C22⋊D59—44no—
687C22⋊D59—44no—
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—82no—
725C2×Dic59C22×D412yes—
726C2×Dic59C22×D412yes—
727C2×Dic59C2×#4112yes—
728C2×Dic59C2×#4112yes—
729D236—28no—
730D236—44no—
731D236—82no—
732D236—82no—
733D236—82no—
734C4×D59—44no—
735C4×D59—44no—
736C4×D59—44no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—82no—
742C4×D59—82no—
743C4×D59—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
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×C59C23×D411yescharacteristic
761C22×C59C22×#4111yescharacteristic
762C22×C59C22×#4111yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59#58511yescharacteristic
765C22×C59#58511yescharacteristic
766C22×C59#58511yescharacteristic
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
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—88no—
795C2×D59#53214yes—
796C4×C59—22no—
797C4×C59—22no—
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—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861D5911yescharacteristic, complemented
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663—591no—
829#2662—591no—
830#2661—591no—
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543—591no—
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425—591no—
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4—591no—
852C2×C59—81no—
853C2×C59—81no—
854C2×C59C2×#53211yescharacteristic
855C2×C59#345511yescharacteristic
856C2×C59#345911yescharacteristic
857C2×C59#349611yescharacteristic
858C2×C59#350011yescharacteristic
859C2×C59#351311yescharacteristic
860C2×C59#352111yescharacteristic
861D59—24no—
862D59—42no—
863D59—81no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125C2×D5911yescharacteristic, complemented
873C2×#124—591no—
874C2×#124—591no—
875C2×#124C2×D5911yescharacteristic
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123—591no—
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4—591no—
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42—591no—
907C22×C42—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398—591no—
916#397—591no—
917#397—591no—
918#397—591no—
919#397—591no—
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#395—591no—
925#395—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394—591no—
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391C2×D5911yescharacteristic, complemented
942#391C2×D5911yescharacteristic, complemented
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390C2×D5911yescharacteristic
951#390C2×D5911yescharacteristic
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389—591no—
957#389—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#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388C2×D5911yescharacteristic
977#388C2×D5911yescharacteristic
978#388C2×D5911yescharacteristic
979#388C2×D5911yescharacteristic
980#388C2×D5911yescharacteristic, complemented
981#388C2×D5911yescharacteristic, complemented
982#388C2×D5911yescharacteristic, complemented
983#388C2×D5911yescharacteristic, complemented
984#387—591no—
985#387—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#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380—591no—
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C2×#95—591no—
1020C2×#95—591no—
1021C43C2×D5911yescharacteristic, complemented
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8C22×D5911yescharacteristic
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—24no—
1054#125—1184no—
1055#124—24no—
1056#124—1184no—
1057#124—2362no—
1058#123—1184no—
1059#123—1184no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—1184no—
1070#121—1184no—
1071#121—1184no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—598no—
1079C4×D4—1184no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—1184no—
1083C4×D4—2362no—
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⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
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—1184no—
1109C2×C4⋊C4C22×D5911yescharacteristic
1110C2×C4⋊C4C22×D5911yescharacteristic
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
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—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—1184no—
1156C2×C22⋊C4—1184no—
1157C2×C22⋊C4—2362no—
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—2362no—
1179C2×C42—2362no—
1180C2×C42C22×D5911yescharacteristic
1181C2×C42C22×D5911yescharacteristic
1182C2×C42C22×D5911yescharacteristic
1183C2×C42C22×D5911yescharacteristic
1184C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—591no—
1222C24—591no—
1223C24—1182no—
1224C24—1182no—
1225C24—1182no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—1182no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—594no—
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—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
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—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—594no—
1279C22×C4—594no—
1280C22×C4—594no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—1182no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
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
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—594no—
1339C4⋊C4—1182no—
1340C4⋊C4—1182no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
1376C22⋊C4—594no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
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—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—1182no—
1421C42—1182no—
1422C42—1182no—
1423C42—1182no—
1424C42—2361no—
1425C42—2361no—
1426C42—2361no—
1427C42—2361no—
1428C42D4×D5914yes—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—592no—
1444C23—592no—
1445C23—592no—
1446C23—592no—
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—4722no—
1472C23—4722no—
1473C23—4722no—
1474C23—4722no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23C24×D5911yescharacteristic
1479Q8—82no—
1480Q8—4722no—
1481D4—82no—
1482D4—1188no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—2364no—
1491D4—2364no—
1492D4—2364no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
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—592no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—1181no—
1531C2×C4—1181no—
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—4722no—
1563C2×C4—4722no—
1564C2×C4—4722no—
1565C2×C4—4722no—
1566C2×C4—2364no—
1567C2×C4—2364no—
1568C2×C4—2364no—
1569C2×C4—2364no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4C2×D4×D5912yes—
1574C2×C4C2×D4×D5912yes—
1575C2×C4C2×D4×D5912yes—
1576C2×C4#41×D5912yes—
1577C2×C4#41×D5912yes—
1578C2×C4#1427377312yes—
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—594no—
1594C22—1182no—
1595C22—1182no—
1596C22—1182no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—1182no—
1601C22—1182no—
1602C22—1182no—
1603C22—4728no—
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—
1622C22C22×D4×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C2×#41×D5911yescharacteristic
1625C22C2×#1427377311yescharacteristic
1626C22#1683823811yescharacteristic
1627C22#1683823811yescharacteristic
1628C22#1683823811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—81no—
1655C2—81no—
1656C2—1184no—
1657C2—4721no—
1658C2—4721no—
1659C2—2362no—
1660C2#532×D5911yescharacteristic
1661C2#2143747911yescharacteristic
1662C2#2143750611yescharacteristic
1663C2#2143785811yescharacteristic
1664C2#2143788611yescharacteristic
1665C2#2143804011yescharacteristic
1666C2#2143815011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2861C2
hypercenter#2861D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2861

Complements

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

NH ≅ G/Ntype
1. C2×#16838000C2semidirect
2. C2×#16837986C2semidirect
3. #21432463C2semidirect
4. #21432423C2semidirect
5. #21432394C2semidirect
6. #21430257C2semidirect
7. #21430248C2semidirect
8. #21430235C2semidirect
9. #21430228C2semidirect
10. #21429239C2semidirect
11. #21429230C2semidirect
12. #21429207C2semidirect
13. #21429202C2semidirect
14. #21429105C2semidirect
15. #21429061C2semidirect
16. #21429025C2semidirect
17. #21428990C2semidirect
18. #21428805C2semidirect
19. #21428767C2semidirect
20. #21428429C2semidirect
21. #21428228C2semidirect
22. #21428108C2semidirect
23. #21428061C2semidirect
24. #21427652C2semidirect
25. #21427637C2semidirect
26. #21426766C2semidirect
27. #21426749C2semidirect
28. #21426608C2semidirect
29. #388×D59C2semidirect
30. C42×D236C2semidirect
31. C59×#2861C2semidirect
34. C2×#14273722C22semidirect
36. C2×#14273721C22semidirect
38. C2×#14273717C22semidirect
43. C2×#14273712C22semidirect
44. C2×#14273712C22semidirect
48. C2×#14273707C22semidirect
50. C2×#14273705C22semidirect
66. C2×(C22⋊D59)⋊C4C22semidirect
72. C2×C42×D59C22semidirect
73. #16837344C22semidirect
74. #16837340C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837333C22semidirect
81. #16837331C22semidirect
82. #16837331C22semidirect
83. #16837329C22semidirect
86. #16837325C22semidirect
89. #16837323C22semidirect
90. #16837321C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
100. #16837313C22semidirect
103. #16837311C22semidirect
105. #16837306C22semidirect
112. #16837302C22semidirect
113. #16837300C22semidirect
114. #16837300C22semidirect
115. #16837300C22semidirect
116. #16837299C22semidirect
117. #16837297C22semidirect
118. #16837297C22semidirect
120. #16837296C22semidirect
124. #16837294C22semidirect
128. #16837293C22semidirect
129. #16837293C22semidirect
130. #16837293C22semidirect
137. #16837289C22semidirect
138. #16837285C22semidirect
144. #16837280C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837277C22semidirect
154. #16837274C22semidirect
155. #16837266C22semidirect
158. #16837261C22semidirect
160. C4×C4⋊Dic59C22semidirect
161. C4×C4⋊Dic59C22semidirect
162. C4×C4⋊Dic59C22semidirect
163. #16837253C22semidirect
164. C22⋊C4×Dic59C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. #16837249C22semidirect
174. C2×#125×C59C22semidirect
176. C59×#391C22semidirect
177. C59×#391C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
187. C59×#388C22semidirect
188. C43×C59C22semidirect
242. C4×D236D4semidirect
823. #2861D59semidirect
872. C2×#125C2×D59semidirect
941. #391C2×D59semidirect
942. #391C2×D59semidirect
980. #388C2×D59semidirect
981. #388C2×D59semidirect
982. #388C2×D59semidirect
983. #388C2×D59semidirect
1021. C43C2×D59semidirect
1022. C59#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#168380002
C2×#168379862
#214324632
#214324232
#214323942
#214302572
#214302482
#214302352
#214302282
#214292392
#214292302
#214292072
#214292022
#214291052
#214290612
#214290252
#214289902
#214288052
#214287672
#214284292
#214282282
#214281082
#214280612
#214276522
#214276372
#214267662
#214267492
#214266082
#388×D592
C42×D2362
C59×#28612
#3500959