Finite Group Databasebeta

← #28797549

Subgroups — #28797549

Order 15104.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432387C211yesmaximal, characteristic, complemented
2#21432384C211yesmaximal, characteristic, complemented
3#21431931C211yesmaximal, characteristic, complemented
4#21431484C211yesmaximal, characteristic, complemented
5#21431437C211yesmaximal, characteristic, complemented
6#21431342C211yesmaximal, characteristic, complemented
7#21431146C211yesmaximal, characteristic, complemented
8#21431100C211yesmaximal, characteristic, complemented
9#21431013C211yesmaximal, characteristic, complemented
10#21430909C211yesmaximal, characteristic, complemented
11#21430867C211yesmaximal, characteristic, complemented
12#21430831C211yesmaximal, characteristic, complemented
13#21430771C211yesmaximal, characteristic, complemented
14#21430713C211yesmaximal, characteristic, complemented
15#21430693C211yesmaximal, characteristic, complemented
16#21430581C211yesmaximal, characteristic, complemented
17#21430506C211yesmaximal, characteristic, complemented
18#21430350C211yesmaximal, characteristic, complemented
19#21429904C211yesmaximal, characteristic, complemented
20#21429873C211yesmaximal, characteristic, complemented
21#21429107C211yesmaximal, characteristic, complemented
22#21428347C211yesmaximal, characteristic, complemented
23#21428347C211yesmaximal, characteristic, complemented
24#21428227C211yesmaximal, characteristic, complemented
25#21428227C211yesmaximal, characteristic, complemented
26#21427748C211yesmaximal, characteristic, complemented
27#21427452C211yesmaximal, characteristic
28#21426831C211yesmaximal, characteristic, complemented
29#21426729C211yesmaximal, characteristic, complemented
30C2×#16837280C211yesmaximal, characteristic, complemented
31C59×#2564C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273716C2211yescharacteristic
37C2×#14273716C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273709C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273707C2211yescharacteristic, complemented
43C2×#14273707C2211yescharacteristic, complemented
44C2×#14273706C2211yescharacteristic
45C2×#14273706C2211yescharacteristic
46C2×#14273701C2211yescharacteristic
47C2×#14273701C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C22×(C2×D59)⋊C4C2211yescharacteristic
51C22×(C2×D59)⋊C4C2211yescharacteristic
52C22×(C2×D59)⋊C4C2211yescharacteristic
53#16837339C2211yescharacteristic, complemented
54#16837339C2211yescharacteristic, complemented
55#16837336C2211yescharacteristic, complemented
56#16837336C2211yescharacteristic, complemented
57#16837331C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic, complemented
59#16837331C2211yescharacteristic, complemented
60#16837331C2211yescharacteristic, complemented
61#16837331C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837329C2211yescharacteristic, complemented
64#16837329C2211yescharacteristic, complemented
65#16837329C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837328C2211yescharacteristic, complemented
69#16837324C2211yescharacteristic, complemented
70#16837324C2211yescharacteristic, complemented
71#16837324C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837323C2211yescharacteristic, complemented
76#16837323C2211yescharacteristic, complemented
77#16837319C2211yescharacteristic
78#16837319C2211yescharacteristic
79#16837319C2211yescharacteristic
80#16837319C2211yescharacteristic
81#16837319C2211yescharacteristic
82#16837319C2211yescharacteristic
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic, complemented
86#16837318C2211yescharacteristic, complemented
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837315C2211yescharacteristic, complemented
92#16837315C2211yescharacteristic, complemented
93#16837315C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837309C2211yescharacteristic, complemented
98#16837309C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837304C2211yescharacteristic
102#16837304C2211yescharacteristic
103#16837303C2211yescharacteristic
104#16837303C2211yescharacteristic
105#16837302C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837301C2211yescharacteristic, complemented
108#16837301C2211yescharacteristic, complemented
109#16837299C2211yescharacteristic, complemented
110#16837299C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic, complemented
115#16837294C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837288C2211yescharacteristic, complemented
125#16837288C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837288C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic
142#16837277C2211yescharacteristic
143#16837277C2211yescharacteristic
144#16837277C2211yescharacteristic
145#16837276C2211yescharacteristic, complemented
146#16837276C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837275C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837270C2211yescharacteristic, complemented
154#16837268C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic
159#16837262C2211yescharacteristic, complemented
160#16837259C2211yescharacteristic, complemented
161#16837259C2211yescharacteristic, complemented
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic, complemented
175C59×#399C2211yescharacteristic, complemented
176C59×#395C2211yescharacteristic, complemented
177C59×#393C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236—24no—
192C22×D236—42no—
193C22×D236—42no—
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273722—42no—
212#14273722—42no—
213#14273716—42no—
214#14273716—42no—
215#14273713—42no—
216#14273713—42no—
217#14273709—42no—
218#14273709—42no—
219#14273707—42no—
220#14273707—42no—
221#14273706—42no—
222#14273706—42no—
223#14273701—42no—
224#14273701—42no—
225#14273695—42no—
226#14273695—42no—
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
256C2×(C2×D59)⋊C4—42no—
257C2×(C2×D59)⋊C4—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
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
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C22×Q8×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C22⋊Q8×C59—24no—
339C4×D4×C59—24no—
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊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×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×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
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×Q8×C59—22no—
390C2×Q8×C59—41no—
391C2×Q8×C59—41no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59#4114yes—
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
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
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—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
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—416no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—416no—
476C2×Dic118—22no—
477C2×Dic118—41no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C2×Dic118—41no—
481C2×Dic118—41no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C42×C59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
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—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
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—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
557C4⋊Dic59—41no—
558C4⋊Dic59—41no—
559Dic59⋊C4—22no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59C2×#4112yes—
585C23×C59H(5,𝔽2)12yes—
586C23×C592−1+412yes—
587C23×C59C2511yescharacteristic
588C22×D59—28no—
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—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
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—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59—82no—
627C22×D59—82no—
628C22×D59H(5,𝔽2)12yes—
629C22×D59H(5,𝔽2)12yes—
630Q8×C59—82no—
631D4×C59—44no—
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—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—44no—
669C2×C4×C59—44no—
670C2×C4×C59—82no—
671C2×C4×C59—82no—
672C2×C4×C59C2×#4112yes—
673C2×C4×C59C2×#4112yes—
674C2×C4×C59H(5,𝔽2)12yes—
675C22⋊D59—82no—
676C22⋊D59—82no—
677C22⋊D59—82no—
678C22⋊D59—82no—
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—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
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—44no—
716C2×Dic59—82no—
717D236—44no—
718D236—44no—
719D236—44no—
720D236—44no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—44no—
725Dic118—82no—
726Dic118—82no—
727#36793—591nomaximal, Sylow
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59#54214yes—
742C22×C59C22×#4111yescharacteristic
743C22×C59C2×H(5,𝔽2)11yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×2−1+411yescharacteristic
748C22×C59#58511yescharacteristic
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—416no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—88no—
779C4×C59—22no—
780C4×C59—22no—
781C4×C59—22no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804#2849—591no—
805#2848—591no—
806#2796—591no—
807#2761—591no—
808#2757—591no—
809#2751—591no—
810#2737—591no—
811#2730—591no—
812#2723—591no—
813#2715—591no—
814#2712—591no—
815#2710—591no—
816#2705—591no—
817#2701—591no—
818#2700—591no—
819#2691—591no—
820#2686—591no—
821#2672—591no—
822#2626—591no—
823#2622—591no—
824#2564D5911yescharacteristic, complemented
825#2549—591no—
826#2480—591no—
827#2480—591no—
828#2472—591no—
829#2472—591no—
830#2435—591no—
831#2408—591no—
832#2329—591no—
833#2318—591no—
834C2×#386—591no—
835C2×C59—24no—
836C2×C59—81no—
837C2×C59C2×#54211yescharacteristic
838C2×C59#349011yescharacteristic
839C2×C59#350611yescharacteristic
840C2×C59#353211yescharacteristic
841C2×C59#353411yescharacteristic
842C2×C59#353511yescharacteristic
843C2×C59#353611yescharacteristic
844D59—42no—
845D59—42no—
846D59—81no—
847D59—81no—
848C23×D4—591no—
849C24×C4—591no—
850C2×#126—591no—
851C2×#126—591no—
852C2×#124—591no—
853C2×#124—591no—
854C2×#124—591no—
855C2×#124—591no—
856C2×#123—591no—
857C2×#123—591no—
858C2×C22⋊Q8—591no—
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8C2×D5911yescharacteristic
863C2×#121—591no—
864C2×#121—591no—
865C2×#120—591no—
866C2×#120—591no—
867C2×C4×D4C2×D5911yescharacteristic
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871#400C2×D5911yescharacteristic, complemented
872#399—591no—
873#399—591no—
874#399C2×D5911yescharacteristic, complemented
875#398—591no—
876#398—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397—591no—
885#397—591no—
886#397—591no—
887#397—591no—
888#397—591no—
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396—591no—
895#395—591no—
896#395—591no—
897#395C2×D5911yescharacteristic, complemented
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#393—591no—
913#393—591no—
914#393—591no—
915#393—591no—
916#393C2×D5911yescharacteristic, complemented
917#392—591no—
918#392—591no—
919#391—591no—
920#391—591no—
921#391—591no—
922#391—591no—
923#390—591no—
924#390—591no—
925#390—591no—
926#390—591no—
927#390—591no—
928#390—591no—
929#389—591no—
930#389—591no—
931#389—591no—
932#389—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387C2×D5911yescharacteristic, complemented
952#387C2×D5911yescharacteristic, complemented
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386C2×D5911yescharacteristic
966#386C2×D5911yescharacteristic
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385C2×D5911yescharacteristic, complemented
980#385C2×D5911yescharacteristic, complemented
981#383—591no—
982#382—591no—
983#381—591no—
984#381—591no—
985#381—591no—
986#380—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380C2×D5911yescharacteristic
991#380C2×D5911yescharacteristic
992#379—591no—
993#379—591no—
994#379—591no—
995#379—591no—
996#379—591no—
997#379—591no—
998C4×C22⋊C4—591no—
999C4×C22⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C2×#95—591no—
1002C2×#95C2×D5911yescharacteristic
1003C59#3679311yescharacteristic, complemented, Sylow
1004C25—591no—
1005C25—591no—
1006C22×Q8—591no—
1007C22×Q8—591no—
1008C22×Q8C22×D5911yescharacteristic
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4—1184no—
1018C22×D4—2362no—
1019C22×D4—2362no—
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—2362no—
1028C23×C4—2362no—
1029C23×C4—2362no—
1030C23×C4C22×D5911yescharacteristic
1031C23×C4C22×D5911yescharacteristic
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034#126—2362no—
1035#126—2362no—
1036#124—2362no—
1037#124—2362no—
1038#124—2362no—
1039#124—2362no—
1040#123—2362no—
1041#123—2362no—
1042C22⋊Q8—24no—
1043C22⋊Q8—2362no—
1044C22⋊Q8—2362no—
1045C22⋊Q8—2362no—
1046C22⋊Q8—2362no—
1047#121—2362no—
1048#121—2362no—
1049#120—2362no—
1050#120—2362no—
1051C4×D4—24no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C4⋊C4C22×D5911yescharacteristic
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C4⋊C4C22×D5911yescharacteristic
1079C2×C4⋊C4C22×D5911yescharacteristic
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⋊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—2362no—
1129C2×C22⋊C4—2362no—
1130C2×C22⋊C4—2362no—
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42C22×D5911yescharacteristic
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186C24—591no—
1187C24—591no—
1188C24—591no—
1189C24—591no—
1190C24—1182no—
1191C24—1182no—
1192C24—1182no—
1193C24—1182no—
1194C24—1182no—
1195C24—1182no—
1196C24—1182no—
1197C24—1182no—
1198C24—2361no—
1199C24—2361no—
1200C24—2361no—
1201C24—2361no—
1202C24—2361no—
1203C24—2361no—
1204C24C23×D5911yescharacteristic
1205C24C23×D5911yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—1182no—
1210C2×Q8—2361no—
1211C2×Q8—2361no—
1212C2×Q8—2361no—
1213C2×Q8—2361no—
1214C2×Q8—2361no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—1182no—
1227C2×D4—1182no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C2×D4—23616no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—2361no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
1280C22×C4—23616no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4#1174568714yes—
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—1182no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C42—22no—
1384C42—2361no—
1385C42—2361no—
1386C42—2361no—
1387C42—2361no—
1388C42—2361no—
1389C42—2361no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—592no—
1402C23—592no—
1403C23—1188no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—4722no—
1431C23—4722no—
1432C23—4722no—
1433C23—4722no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23—2364no—
1441C23—2364no—
1442C23—2364no—
1443C23C2×#1174568712yes—
1444C23#1427377312yes—
1445C23#1427377512yes—
1446C23C24×D5911yescharacteristic
1447Q8—82no—
1448Q8—4722no—
1449Q8—4722no—
1450D4—44no—
1451D4—4722no—
1452D4—4722no—
1453D4—4722no—
1454D4—4722no—
1455D4—2364no—
1456D4—2364no—
1457D4—2364no—
1458D4—2364no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—4722no—
1536C2×C4—2364no—
1537C2×C4—2364no—
1538C2×C4—2364no—
1539C2×C4—2364no—
1540C2×C4—2364no—
1541C2×C4C2×#1174568712yes—
1542C2×C4C2×#1174568712yes—
1543C2×C4#1427377312yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—4728no—
1564C22—23616no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22—2361no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22#1683802514yes—
1588C22C22×#1174568711yescharacteristic
1589C22H(5,𝔽2)×D5911yescharacteristic
1590C22H(5,𝔽2)×D5911yescharacteristic
1591C22C2×#1427377311yescharacteristic
1592C22C2×#1427377311yescharacteristic
1593C22C2×#1427377511yescharacteristic
1594C22#1683823811yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C2—24no—
1621C2—81no—
1622C2—4721no—
1623C2—4721no—
1624C2—2362no—
1625C2—2362no—
1626C2C2×#1683802511yescharacteristic
1627C2#2143778411yescharacteristic
1628C2#2143794511yescharacteristic
1629C2#2143825211yescharacteristic
1630C2#2143828911yescharacteristic
1631C2#2143830011yescharacteristic
1632C2#2143832411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2564C2
prime radical#21427452C2
hypercenter#2564D59
hypocenterC59#36793
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. #21432387C2semidirect
2. #21432384C2semidirect
3. #21431931C2semidirect
4. #21431484C2semidirect
5. #21431437C2semidirect
6. #21431342C2semidirect
7. #21431146C2semidirect
8. #21431100C2semidirect
9. #21431013C2semidirect
10. #21430909C2semidirect
11. #21430867C2semidirect
12. #21430831C2semidirect
13. #21430771C2semidirect
14. #21430713C2semidirect
15. #21430693C2semidirect
16. #21430581C2semidirect
17. #21430506C2semidirect
18. #21430350C2semidirect
19. #21429904C2semidirect
20. #21429873C2semidirect
21. #21429107C2semidirect
22. #21428347C2semidirect
23. #21428347C2semidirect
24. #21428227C2semidirect
25. #21428227C2semidirect
26. #21427748C2semidirect
28. #21426831C2semidirect
29. #21426729C2semidirect
30. C2×#16837280C2semidirect
31. C59×#2564C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273722C22semidirect
38. C2×#14273713C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273709C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273707C22semidirect
43. C2×#14273707C22semidirect
53. #16837339C22semidirect
54. #16837339C22semidirect
55. #16837336C22semidirect
56. #16837336C22semidirect
57. #16837331C22semidirect
58. #16837331C22semidirect
59. #16837331C22semidirect
60. #16837331C22semidirect
61. #16837331C22semidirect
62. #16837331C22semidirect
63. #16837329C22semidirect
64. #16837329C22semidirect
65. #16837329C22semidirect
66. #16837329C22semidirect
67. #16837328C22semidirect
68. #16837328C22semidirect
69. #16837324C22semidirect
70. #16837324C22semidirect
71. #16837324C22semidirect
72. #16837324C22semidirect
73. #16837324C22semidirect
74. #16837324C22semidirect
75. #16837323C22semidirect
76. #16837323C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
85. #16837318C22semidirect
86. #16837318C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837317C22semidirect
90. #16837317C22semidirect
91. #16837315C22semidirect
92. #16837315C22semidirect
93. #16837315C22semidirect
94. #16837315C22semidirect
97. #16837309C22semidirect
98. #16837309C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
105. #16837302C22semidirect
106. #16837302C22semidirect
107. #16837301C22semidirect
108. #16837301C22semidirect
109. #16837299C22semidirect
110. #16837299C22semidirect
111. #16837295C22semidirect
112. #16837295C22semidirect
113. #16837294C22semidirect
114. #16837294C22semidirect
115. #16837294C22semidirect
116. #16837294C22semidirect
117. #16837292C22semidirect
118. #16837292C22semidirect
119. #16837291C22semidirect
120. #16837291C22semidirect
121. #16837291C22semidirect
122. #16837291C22semidirect
123. #16837288C22semidirect
124. #16837288C22semidirect
125. #16837288C22semidirect
126. #16837288C22semidirect
127. #16837288C22semidirect
128. #16837288C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
145. #16837276C22semidirect
146. #16837276C22semidirect
147. #16837276C22semidirect
148. #16837276C22semidirect
149. #16837276C22semidirect
150. #16837276C22semidirect
153. #16837270C22semidirect
154. #16837268C22semidirect
155. #16837265C22semidirect
156. #16837264C22semidirect
157. #16837264C22semidirect
159. #16837262C22semidirect
160. #16837259C22semidirect
161. #16837259C22semidirect
174. C59×#400C22semidirect
175. C59×#399C22semidirect
176. C59×#395C22semidirect
177. C59×#393C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
824. #2564D59semidirect
871. #400C2×D59semidirect
874. #399C2×D59semidirect
897. #395C2×D59semidirect
916. #393C2×D59semidirect
951. #387C2×D59semidirect
952. #387C2×D59semidirect
979. #385C2×D59semidirect
980. #385C2×D59semidirect
1003. C59#36793semidirect

Maximal subgroups

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

subgroupindex
#214323872
#214323842
#214319312
#214314842
#214314372
#214313422
#214311462
#214311002
#214310132
#214309092
#214308672
#214308312
#214307712
#214307132
#214306932
#214305812
#214305062
#214303502
#214299042
#214298732
#214291072
#214283472
#214282272
#214277482
#214274522
#214268312
#214267292
C2×#168372802
C59×#25642
#3679359