Finite Group Databasebeta

← #26425609

Subgroups — #26425609

Order 12032.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251701C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251241C211yesmaximal, characteristic, complemented
4#20250771C211yesmaximal, characteristic, complemented
5#20250713C211yesmaximal, characteristic, complemented
6#20250668C211yesmaximal, characteristic, complemented
7#20250652C211yesmaximal, characteristic, complemented
8#20250637C211yesmaximal, characteristic, complemented
9#20250607C211yesmaximal, characteristic, complemented
10#20250388C211yesmaximal, characteristic, complemented
11#20250187C211yesmaximal, characteristic, complemented
12#20250187C211yesmaximal, characteristic, complemented
13#20250035C211yesmaximal, characteristic, complemented
14#20249783C211yesmaximal, characteristic, complemented
15#20249779C211yesmaximal, characteristic, complemented
16#20249717C211yesmaximal, characteristic, complemented
17#20249693C211yesmaximal, characteristic, complemented
18#20249614C211yesmaximal, characteristic, complemented
19#20249165C211yesmaximal, characteristic, complemented
20#20249128C211yesmaximal, characteristic, complemented
21#20247651C211yesmaximal, characteristic, complemented
22#20247516C211yesmaximal, characteristic, complemented
23#20247125C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246926C211yesmaximal, characteristic, complemented
26#20246762C211yesmaximal, characteristic, complemented
27#20246756C211yesmaximal, characteristic, complemented
28#20246698C211yesmaximal, characteristic, complemented
29#20246046C211yesmaximal, characteristic, complemented
30C2×#15689023C211yesmaximal, characteristic, complemented
31C47×#2308C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic, complemented
37C2×#13094006C2211yescharacteristic, complemented
38C2×#13094003C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic, complemented
40C2×#13093998C2211yescharacteristic, complemented
41C2×#13093998C2211yescharacteristic, complemented
42C2×#13093997C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic, complemented
46C2×#13093993C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×#13093993C2211yescharacteristic, complemented
50C2×#13093992C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C22×Dic47⋊C4C2211yescharacteristic, complemented
54C22×C22⋊Dic47C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
56C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
57C22×C4×Dic47C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic, complemented
62#15689057C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689050C2211yescharacteristic, complemented
71#15689050C2211yescharacteristic, complemented
72#15689047C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689041C2211yescharacteristic, complemented
77#15689041C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689037C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689035C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic, complemented
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic, complemented
105#15689031C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic, complemented
112#15689023C2211yescharacteristic, complemented
113#15689023C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689023C2211yescharacteristic, complemented
118#15689023C2211yescharacteristic, complemented
119#15689023C2211yescharacteristic, complemented
120#15689017C2211yescharacteristic, complemented
121#15689017C2211yescharacteristic, complemented
122#15689017C2211yescharacteristic, complemented
123#15689017C2211yescharacteristic, complemented
124#15689017C2211yescharacteristic, complemented
125#15689016C2211yescharacteristic, complemented
126#15689016C2211yescharacteristic, complemented
127#15689015C2211yescharacteristic, complemented
128#15689015C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic, complemented
131#15689012C2211yescharacteristic, complemented
132#15689011C2211yescharacteristic, complemented
133#15689011C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic, complemented
136#15689010C2211yescharacteristic, complemented
137#15689008C2211yescharacteristic, complemented
138#15689008C2211yescharacteristic, complemented
139#15689005C2211yescharacteristic, complemented
140#15689005C2211yescharacteristic, complemented
141#15689005C2211yescharacteristic, complemented
142#15689003C2211yescharacteristic
143#15689003C2211yescharacteristic
144#15689003C2211yescharacteristic
145#15689003C2211yescharacteristic
146#15689002C2211yescharacteristic
147#15689002C2211yescharacteristic
148#15689002C2211yescharacteristic, complemented
149#15689002C2211yescharacteristic, complemented
150#15689002C2211yescharacteristic, complemented
151#15689002C2211yescharacteristic, complemented
152#15689001C2211yescharacteristic, complemented
153#15689000C2211yescharacteristic, complemented
154#15688999C2211yescharacteristic, complemented
155#15688999C2211yescharacteristic, complemented
156#15688998C2211yescharacteristic, complemented
157#15688998C2211yescharacteristic, complemented
158#15688997C2211yescharacteristic, complemented
159#15688996C2211yescharacteristic, complemented
160#15688996C2211yescharacteristic, complemented
161#15688996C2211yescharacteristic, complemented
162#15688996C2211yescharacteristic, complemented
163#15688995C2211yescharacteristic, complemented
164#15688990C2211yescharacteristic, complemented
165#15688987C2211yescharacteristic, complemented
166#15688983C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688979C2211yescharacteristic
169#15688979C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172C23×D4×C47C2211yescharacteristic
173C22×C22⋊C4×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C47×#386C2211yescharacteristic
176C47×#386C2211yescharacteristic
177C47×#386C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#381C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C47×#379C2211yescharacteristic, complemented
186C47×#379C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094017—42no—
212#13094017—42no—
213#13094010—42no—
214#13094010—42no—
215#13094006—42no—
216#13094003—42no—
217#13094001—42no—
218#13093998—42no—
219#13093998—42no—
220#13093997—42no—
221#13093996—42no—
222#13093996—42no—
223#13093994—42no—
224#13093993—24no—
225#13093993—42no—
226#13093993—42no—
227#13093993—42no—
228#13093992—42no—
229#13093992—42no—
230C4×C22⋊D47—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4—42no—
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×C22⋊Dic47—42no—
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×(C2×D47)⋊C4—42no—
277C2×(C2×D47)⋊C4—42no—
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×C4×Dic47—42no—
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C25×C47C2311yescharacteristic
336C25×C47C2311yescharacteristic
337C22×D4×C47—24no—
338C22×D4×C47—42no—
339C22×D4×C47—42no—
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47—42no—
350C2×C22⋊C4×C47—42no—
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47#4114yes—
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—416no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—416no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C22×Dic47—22no—
483C22×Dic47—22no—
484C22×Dic47—22no—
485C22×Dic47—22no—
486C22×Dic47—22no—
487C22×Dic47—22no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×Dic94—22no—
514C2×Dic94—41no—
515C2×Dic94—41no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—41no—
583C4⋊Dic47—41no—
584C4⋊Dic47—41no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—41no—
603C4×Dic47—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—28no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—44no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—82no—
642C23×C47—82no—
643C23×C47—82no—
644C23×C47—82no—
645C23×C47—82no—
646C23×C47—82no—
647C23×C47—82no—
648C23×C47—82no—
649C23×C47—82no—
650C23×C47—82no—
651C23×C47C2×#4112yes—
652C23×C47C2×#4112yes—
653C23×C47C2×#4112yes—
654C23×C47H(5,𝔽2)12yes—
655C23×C47H(5,𝔽2)12yes—
656C23×C47C2511yescharacteristic
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—44no—
679C22×D47—44no—
680C22×D47—44no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47—82no—
685D4×C47—44no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—44no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—44no—
720C2×C4×C47—44no—
721C2×C4×C47—82no—
722C2×C4×C47—82no—
723C2×C4×C47—82no—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—82no—
730C22⋊D47—82no—
731C22⋊D47—82no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C22⋊D47—82no—
737C2×Dic47—28no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—44no—
775C2×Dic47—82no—
776C2×Dic47H(5,𝔽2)12yes—
777C2×Dic47H(5,𝔽2)12yes—
778C2×Dic47H(5,𝔽2)12yes—
779D188—82no—
780D188—82no—
781C4×D47—82no—
782Dic94—82no—
783#36808—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—88no—
819C22×C47—88no—
820C22×C47#53814yes—
821C22×C47C22×#4111yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47C2×H(5,𝔽2)11yescharacteristic
825C22×C47C2×H(5,𝔽2)11yescharacteristic
826C22×C47C2×H(5,𝔽2)11yescharacteristic
827C22×C47#58511yescharacteristic
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—88no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860Dic47—22no—
861Dic47—22no—
862Dic47—22no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873#2852—471no—
874#2850—471no—
875#2797—471no—
876#2761—471no—
877#2756—471no—
878#2753—471no—
879#2752—471no—
880#2751—471no—
881#2749—471no—
882#2730—471no—
883#2714—471no—
884#2714—471no—
885#2703—471no—
886#2685—471no—
887#2685—471no—
888#2678—471no—
889#2676—471no—
890#2670—471no—
891#2622—471no—
892#2617—471no—
893#2481—471no—
894#2472—471no—
895#2443—471no—
896#2437—471no—
897#2424—471no—
898#2410—471no—
899#2410—471no—
900#2403—471no—
901#2321—471no—
902#2308D4711yescharacteristic, complemented
903C2×#390—471no—
904C2×C47—24no—
905C2×C47—42no—
906C2×C47—42no—
907C2×C47—81no—
908C2×C47—81no—
909C2×C47C2×#53811yescharacteristic
910C2×C47#349011yescharacteristic
911C2×C47#350511yescharacteristic
912C2×C47#353711yescharacteristic
913C2×C47#354211yescharacteristic
914C2×C47#354311yescharacteristic
915C2×C47#355811yescharacteristic
916D47—81no—
917D47—81no—
918D47—81no—
919C23×D4—471no—
920C23×D4C2×D4711yescharacteristic
921C2×#126—471no—
922C2×#126—471no—
923C2×#124—471no—
924C2×#124—471no—
925C2×#123—471no—
926C2×C22⋊Q8—471no—
927C2×C22⋊Q8—471no—
928C2×#121—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#120—471no—
934C2×#120—471no—
935C2×#120—471no—
936C2×#120—471no—
937C2×#120—471no—
938C2×#120—471no—
939C2×#120—471no—
940C2×C4×D4—471no—
941C22×C4⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4C2×D4711yescharacteristic
946C22×C22⋊C4C2×D4711yescharacteristic
947C22×C42—471no—
948#400—471no—
949#400—471no—
950#399—471no—
951#399—471no—
952#398—471no—
953#397—471no—
954#397—471no—
955#397—471no—
956#397—471no—
957#397—471no—
958#397—471no—
959#397—471no—
960#397—471no—
961#397—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#393—471no—
984#393—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#391—471no—
997#390—471no—
998#390—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#390—471no—
1004#390—471no—
1005#390—471no—
1006#390—471no—
1007#390—471no—
1008#390—471no—
1009#390—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#388—471no—
1018#388—471no—
1019#388—471no—
1020#388—471no—
1021#388—471no—
1022#388—471no—
1023#388—471no—
1024#388—471no—
1025#388—471no—
1026#387—471no—
1027#387—471no—
1028#387—471no—
1029#387—471no—
1030#387—471no—
1031#387—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386—471no—
1046#386C2×D4711yescharacteristic
1047#386C2×D4711yescharacteristic
1048#386C2×D4711yescharacteristic
1049#386C2×D4711yescharacteristic
1050#386C2×D4711yescharacteristic, complemented
1051#386C2×D4711yescharacteristic, complemented
1052#386C2×D4711yescharacteristic, complemented
1053#386C2×D4711yescharacteristic, complemented
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385—471no—
1062#383—471no—
1063#382—471no—
1064#381C2×D4711yescharacteristic, complemented
1065#381C2×D4711yescharacteristic, complemented
1066#380—471no—
1067#380—471no—
1068#379—471no—
1069#379—471no—
1070#379—471no—
1071#379C2×D4711yescharacteristic, complemented
1072#379C2×D4711yescharacteristic, complemented
1073C4×C22⋊C4—471no—
1074C47#3680811yescharacteristic, complemented, Sylow
1075C25—471no—
1076C25C22×D4711yescharacteristic
1077C25C22×D4711yescharacteristic
1078C22×Q8—471no—
1079C22×D4—24no—
1080C22×D4—42no—
1081C22×D4—42no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—944no—
1098C22×D4—1882no—
1099C22×D4—1882no—
1100C22×D4C22×D4711yescharacteristic
1101C22×D4C22×D4711yescharacteristic
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4C22×D4711yescharacteristic
1109C23×C4C22×D4711yescharacteristic
1110C23×C4C22×D4711yescharacteristic
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113#126—1882no—
1114#126—1882no—
1115#124—1882no—
1116#124—1882no—
1117#123—1882no—
1118C22⋊Q8—1882no—
1119C22⋊Q8—1882no—
1120#121—1882no—
1121#121—1882no—
1122#121—1882no—
1123#121—1882no—
1124#121—1882no—
1125#120—944no—
1126#120—1882no—
1127#120—1882no—
1128#120—1882no—
1129#120—1882no—
1130#120—1882no—
1131#120—1882no—
1132C4×D4—1882no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—1882no—
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—42no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—1882no—
1205C2×C22⋊C4—1882no—
1206C2×C22⋊C4—1882no—
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C42—471no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228C2×C42—471no—
1229C2×C42—471no—
1230C2×C42—1882no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95C22×D4711yescharacteristic
1256#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—471no—
1277C24—471no—
1278C24—471no—
1279C24—942no—
1280C24—942no—
1281C24—942no—
1282C24—1881no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24#1062535014yes—
1287C24C23×D4711yescharacteristic
1288C24C23×D4711yescharacteristic
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C24C23×D4711yescharacteristic
1292C2×Q8—942no—
1293C2×Q8—1881no—
1294C2×Q8—1881no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—416no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—1881no—
1323C2×D4—1881no—
1324C2×D4—1881no—
1325C2×D4—1881no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—18816no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—471no—
1377C22×C4—471no—
1378C22×C4—471no—
1379C22×C4—471no—
1380C22×C4—471no—
1381C22×C4—471no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—942no—
1386C22×C4—942no—
1387C22×C4—942no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4C23×D4711yescharacteristic
1395C22×C4C23×D4711yescharacteristic
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C42—942no—
1489C42—942no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C42—1881no—
1494C42—1881no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—82no—
1530C23—82no—
1531C23—82no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
1559C23—941no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—3762no—
1564C23—1884no—
1565C23—1884no—
1566C23—1884no—
1567C23C2×#1062535012yes—
1568C23C2×#1062535012yes—
1569C23C2×#1062535012yes—
1570C23#1309406912yes—
1571C23#1309406912yes—
1572C23C24×D4711yescharacteristic
1573Q8—3762no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—3762no—
1579D4—3762no—
1580D4—3762no—
1581D4—3762no—
1582D4—3762no—
1583D4—3762no—
1584D4—3762no—
1585D4—3762no—
1586D4—3762no—
1587D4—3762no—
1588D4—1884no—
1589D4—1884no—
1590D4—1884no—
1591D4—1884no—
1592D4—1884no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4—82no—
1628C2×C4—472no—
1629C2×C4—472no—
1630C2×C4—472no—
1631C2×C4—948no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—3762no—
1669C2×C4—3762no—
1670C2×C4—1884no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—88no—
1706C22—88no—
1707C22—3768no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22—1881no—
1717C22—1881no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22#1568971114yes—
1730C22C22×#1062535011yescharacteristic
1731C22H(5,𝔽2)×D4711yescharacteristic
1732C22H(5,𝔽2)×D4711yescharacteristic
1733C22H(5,𝔽2)×D4711yescharacteristic
1734C22C2×#1309406911yescharacteristic
1735C22C2×#1309406911yescharacteristic
1736C22#1568995811yescharacteristic
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—942no—
1748C4—942no—
1749C4—942no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2C2×#1568971111yescharacteristic
1769C2#2025707311yescharacteristic
1770C2#2025721811yescharacteristic
1771C2#2025762511yescharacteristic
1772C2#2025769911yescharacteristic
1773C2#2025771511yescharacteristic
1774C2#2025790011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2308C2
hypercenter#2308D47
hypocenterC47#36808
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
1. #20251701C2semidirect
2. #20251685C2semidirect
3. #20251241C2semidirect
4. #20250771C2semidirect
5. #20250713C2semidirect
6. #20250668C2semidirect
7. #20250652C2semidirect
8. #20250637C2semidirect
9. #20250607C2semidirect
10. #20250388C2semidirect
11. #20250187C2semidirect
12. #20250187C2semidirect
13. #20250035C2semidirect
14. #20249783C2semidirect
15. #20249779C2semidirect
16. #20249717C2semidirect
17. #20249693C2semidirect
18. #20249614C2semidirect
19. #20249165C2semidirect
20. #20249128C2semidirect
21. #20247651C2semidirect
22. #20247516C2semidirect
23. #20247125C2semidirect
24. #20247049C2semidirect
25. #20246926C2semidirect
26. #20246762C2semidirect
27. #20246756C2semidirect
28. #20246698C2semidirect
29. #20246046C2semidirect
30. C2×#15689023C2semidirect
31. C47×#2308C2semidirect
33. C2×#13094017C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094010C22semidirect
36. C2×#13094010C22semidirect
37. C2×#13094006C22semidirect
38. C2×#13094003C22semidirect
39. C2×#13094001C22semidirect
40. C2×#13093998C22semidirect
41. C2×#13093998C22semidirect
42. C2×#13093997C22semidirect
45. C2×#13093994C22semidirect
49. C2×#13093993C22semidirect
52. C2×C4×C22⋊D47C22semidirect
53. C22×Dic47⋊C4C22semidirect
55. C22×(C2×D47)⋊C4C22semidirect
56. C22×(C2×D47)⋊C4C22semidirect
57. C22×C4×Dic47C22semidirect
58. #15689065C22semidirect
59. #15689064C22semidirect
60. #15689059C22semidirect
61. #15689059C22semidirect
62. #15689057C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689051C22semidirect
70. #15689050C22semidirect
71. #15689050C22semidirect
72. #15689047C22semidirect
73. #15689046C22semidirect
74. #15689046C22semidirect
75. #15689046C22semidirect
76. #15689041C22semidirect
77. #15689041C22semidirect
78. #15689041C22semidirect
81. #15689039C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
87. #15689038C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689037C22semidirect
92. #15689037C22semidirect
93. #15689036C22semidirect
94. #15689035C22semidirect
97. #15689032C22semidirect
98. #15689032C22semidirect
99. #15689032C22semidirect
104. #15689031C22semidirect
105. #15689031C22semidirect
106. #15689027C22semidirect
111. #15689023C22semidirect
112. #15689023C22semidirect
113. #15689023C22semidirect
114. #15689023C22semidirect
115. #15689023C22semidirect
116. #15689023C22semidirect
117. #15689023C22semidirect
118. #15689023C22semidirect
119. #15689023C22semidirect
120. #15689017C22semidirect
121. #15689017C22semidirect
122. #15689017C22semidirect
123. #15689017C22semidirect
124. #15689017C22semidirect
125. #15689016C22semidirect
126. #15689016C22semidirect
127. #15689015C22semidirect
128. #15689015C22semidirect
129. #15689012C22semidirect
130. #15689012C22semidirect
131. #15689012C22semidirect
132. #15689011C22semidirect
133. #15689011C22semidirect
134. #15689011C22semidirect
135. #15689011C22semidirect
136. #15689010C22semidirect
137. #15689008C22semidirect
138. #15689008C22semidirect
139. #15689005C22semidirect
140. #15689005C22semidirect
141. #15689005C22semidirect
148. #15689002C22semidirect
149. #15689002C22semidirect
150. #15689002C22semidirect
151. #15689002C22semidirect
152. #15689001C22semidirect
153. #15689000C22semidirect
154. #15688999C22semidirect
155. #15688999C22semidirect
156. #15688998C22semidirect
157. #15688998C22semidirect
158. #15688997C22semidirect
159. #15688996C22semidirect
160. #15688996C22semidirect
161. #15688996C22semidirect
162. #15688996C22semidirect
163. #15688995C22semidirect
164. #15688990C22semidirect
165. #15688987C22semidirect
166. #15688983C22semidirect
167. #15688981C22semidirect
169. #15688979C22semidirect
170. #15688978C22semidirect
171. C4×C22⋊Dic47C22semidirect
179. C47×#386C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#381C22semidirect
184. C47×#381C22semidirect
185. C47×#379C22semidirect
186. C47×#379C22semidirect
902. #2308D47semidirect
1050. #386C2×D47semidirect
1051. #386C2×D47semidirect
1052. #386C2×D47semidirect
1053. #386C2×D47semidirect
1064. #381C2×D47semidirect
1065. #381C2×D47semidirect
1071. #379C2×D47semidirect
1072. #379C2×D47semidirect
1074. C47#36808semidirect

Maximal subgroups

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

subgroupindex
#202517012
#202516852
#202512412
#202507712
#202507132
#202506682
#202506522
#202506372
#202506072
#202503882
#202501872
#202500352
#202497832
#202497792
#202497172
#202496932
#202496142
#202491652
#202491282
#202476512
#202475162
#202471252
#202470492
#202469262
#202467622
#202467562
#202466982
#202460462
C2×#156890232
C47×#23082
#3680847