Finite Group Databasebeta

← #26424161

Subgroups — #26424161

Order 12032.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251674C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic, complemented
3#20251238C211yesmaximal, characteristic, complemented
4#20251055C211yesmaximal, characteristic, complemented
5#20251023C211yesmaximal, characteristic, complemented
6#20251005C211yesmaximal, characteristic, complemented
7#20251004C211yesmaximal, characteristic, complemented
8#20250708C211yesmaximal, characteristic, complemented
9#20250669C211yesmaximal, characteristic, complemented
10#20250610C211yesmaximal, characteristic, complemented
11#20250505C211yesmaximal, characteristic, complemented
12#20250382C211yesmaximal, characteristic, complemented
13#20250180C211yesmaximal, characteristic, complemented
14#20250026C211yesmaximal, characteristic, complemented
15#20250010C211yesmaximal, characteristic, complemented
16#20249940C211yesmaximal, characteristic, complemented
17#20249829C211yesmaximal, characteristic, complemented
18#20249695C211yesmaximal, characteristic, complemented
19#20249103C211yesmaximal, characteristic, complemented
20#20249103C211yesmaximal, characteristic, complemented
21#20247779C211yesmaximal, characteristic, complemented
22#20247708C211yesmaximal, characteristic, complemented
23#20247511C211yesmaximal, characteristic, complemented
24#20246937C211yesmaximal, characteristic, complemented
25#20246924C211yesmaximal, characteristic, complemented
26#20246867C211yesmaximal, characteristic, complemented
27#20246854C211yesmaximal, characteristic, complemented
28#20246048C211yesmaximal, characteristic, complemented
29#20246045C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094010C2211yescharacteristic, complemented
35C2×#13094008C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13094006C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13094001C2211yescharacteristic
41C2×#13093999C2211yescharacteristic, complemented
42C2×#13093999C2211yescharacteristic, complemented
43C2×#13093998C2211yescharacteristic
44C2×#13093997C2211yescharacteristic, complemented
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C22×C22⋊Dic47C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53C47⋊#401C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689063C2211yescharacteristic, complemented
57#15689063C2211yescharacteristic, complemented
58#15689062C2211yescharacteristic, complemented
59#15689061C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689056C2211yescharacteristic, complemented
62#15689055C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689040C2211yescharacteristic, complemented
72#15689039C2211yescharacteristic
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689036C2211yescharacteristic, complemented
87#15689035C2211yescharacteristic, complemented
88#15689032C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689032C2211yescharacteristic
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic, complemented
97#15689029C2211yescharacteristic, complemented
98#15689025C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic, complemented
100#15689024C2211yescharacteristic, complemented
101#15689024C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic, complemented
104#15689022C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689015C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689014C2211yescharacteristic, complemented
115#15689014C2211yescharacteristic, complemented
116#15689013C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689011C2211yescharacteristic, complemented
121#15689010C2211yescharacteristic, complemented
122#15689009C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689006C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic, complemented
148#15688999C2211yescharacteristic, complemented
149#15688998C2211yescharacteristic
150#15688997C2211yescharacteristic, complemented
151#15688997C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688990C2211yescharacteristic, complemented
157#15688989C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688984C2211yescharacteristic
160#15688984C2211yescharacteristic
161#15688982C2211yescharacteristic, complemented
162#15688982C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic
164#15688980C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic, complemented
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47—24no—
195C22×C22⋊D47—42no—
196C22×C22⋊D47—42no—
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×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219#13094010—42no—
220#13094008—42no—
221#13094008—42no—
222#13094006—42no—
223#13094002—42no—
224#13094002—42no—
225#13094001—42no—
226#13093999—42no—
227#13093999—42no—
228#13093998—42no—
229#13093997—42no—
230#13093994—24no—
231#13093994—24no—
232#13093993—42no—
233#13093993—42no—
234C4×C22⋊D47—42no—
235(C22⋊D47)⋊C4—42no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4—42no—
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
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
332C25×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335#126×C47—42no—
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47—42no—
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
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×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47#4114yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—416no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C2×D188—22no—
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—22no—
465C2×D188—41no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188—41no—
472C2×D188—41no—
473C2×D188—41no—
474C2×D188—41no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—416no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×Dic94—22no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C42×C47—41no—
520C42×C47—41no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563C4⋊Dic47—41no—
564C4⋊Dic47—41no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—44no—
602C23×C47—44no—
603C23×C47—44no—
604C23×C47—82no—
605C23×C47—82no—
606C23×C47—82no—
607C23×C47—82no—
608C23×C47C2×#4112yes—
609C23×C47H(5,𝔽2)12yes—
610C23×C47H(5,𝔽2)12yes—
611C23×C47C2511yescharacteristic
612C22×D47—28no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47—44no—
645C22×D47C2×#4112yes—
646C22×D47C2×#4112yes—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—44no—
683C2×C4×C47—82no—
684C2×C4×C47H(5,𝔽2)12yes—
685C22⋊D47—44no—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C22⋊D47—82no—
694C22⋊D47—82no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—44no—
731C2×Dic47—44no—
732C2×Dic47—82no—
733C2×Dic47H(5,𝔽2)12yes—
734D188—82no—
735D188—82no—
736D188—82no—
737D188—82no—
738D188—82no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—82no—
744C4×D47—82no—
745Dic94—82no—
746#36758—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—88no—
768C22×C47#53814yes—
769C22×C47C22×#4111yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×H(5,𝔽2)11yescharacteristic
773C22×C47C2×H(5,𝔽2)11yescharacteristic
774C22×C47#58511yescharacteristic
775C22×C47#58511yescharacteristic
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—416no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C4×C47—22no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817Dic47—22no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829#2848—471no—
830#2847—471no—
831#2797—471no—
832#2781—471no—
833#2779—471no—
834#2778—471no—
835#2778—471no—
836#2756—471no—
837#2753—471no—
838#2749—471no—
839#2741—471no—
840#2730—471no—
841#2714—471no—
842#2703—471no—
843#2702—471no—
844#2696—471no—
845#2688—471no—
846#2676—471no—
847#2613—471no—
848#2613—471no—
849#2493—471no—
850#2488—471no—
851#2480D4711yescharacteristic, complemented
852#2472—471no—
853#2425—471no—
854#2424—471no—
855#2419—471no—
856#2418—471no—
857#2321—471no—
858#2321—471no—
859C2×#386—471no—
860C2×C47—24no—
861C2×C47—81no—
862C2×C47—81no—
863C2×C47C2×#53811yescharacteristic
864C2×C47#350511yescharacteristic
865C2×C47#350511yescharacteristic
866C2×C47#353211yescharacteristic
867C2×C47#353311yescharacteristic
868C2×C47#354211yescharacteristic
869C2×C47#354211yescharacteristic
870D47—42no—
871D47—42no—
872D47—81no—
873D47—81no—
874C23×D4—471no—
875C24×C4—471no—
876C2×#126C2×D4711yescharacteristic, complemented
877C2×#124—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×#121—471no—
885C2×#121—471no—
886C2×#121—471no—
887C2×#121—471no—
888C2×#120—471no—
889C2×#120—471no—
890C2×#120—471no—
891C2×#120—471no—
892C2×C4×D4—471no—
893C2×C4×D4—471no—
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4C2×D4711yescharacteristic
897#401—471no—
898#400—471no—
899#400—471no—
900#400—471no—
901#400—471no—
902#400—471no—
903#400—471no—
904#399—471no—
905#398—471no—
906#398—471no—
907#397—471no—
908#397—471no—
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397C2×D4711yescharacteristic, complemented
914#397C2×D4711yescharacteristic, complemented
915#397C2×D4711yescharacteristic, complemented
916#396—471no—
917#396—471no—
918#396C2×D4711yescharacteristic, complemented
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394—471no—
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#392—471no—
941#392—471no—
942#392—471no—
943#392—471no—
944#392—471no—
945#391—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388C2×D4711yescharacteristic, complemented
970#388C2×D4711yescharacteristic, complemented
971#388C2×D4711yescharacteristic, complemented
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385C2×D4711yescharacteristic
1008#385C2×D4711yescharacteristic
1009#383—471no—
1010#382—471no—
1011#381—471no—
1012#381—471no—
1013#381—471no—
1014#380—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380C2×D4711yescharacteristic
1021#379—471no—
1022#379—471no—
1023#379C2×D4711yescharacteristic
1024#379C2×D4711yescharacteristic
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4C2×D4711yescharacteristic
1027C2×#95—471no—
1028C2×#95—471no—
1029C47#3675811yescharacteristic, complemented, Sylow
1030C25—471no—
1031C25C22×D4711yescharacteristic
1032C22×Q8—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—471no—
1046C22×D4—471no—
1047C22×D4—471no—
1048C22×D4—944no—
1049C22×D4—1882no—
1050C22×D4—1882no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—1882no—
1061C23×C4—1882no—
1062C23×C4—1882no—
1063C23×C4C22×D4711yescharacteristic
1064C23×C4C22×D4711yescharacteristic
1065#126—42no—
1066#124—1882no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073#121—1882no—
1074#121—1882no—
1075#121—1882no—
1076#121—1882no—
1077#120—944no—
1078#120—944no—
1079#120—1882no—
1080#120—1882no—
1081C4×D4—1882no—
1082C4×D4—1882no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—1882no—
1149C2×C22⋊C4—1882no—
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C22⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42C22×D4711yescharacteristic
1171C2×C42C22×D4711yescharacteristic
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95C22×D4711yescharacteristic
1205#95C22×D4711yescharacteristic
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—471no—
1220C24—471no—
1221C24—474no—
1222C24—471no—
1223C24—471no—
1224C24—942no—
1225C24—942no—
1226C24—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C2×Q8—942no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—18816no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—18816no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—1881no—
1349C4⋊C4—1881no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
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⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C42—41no—
1421C42—41no—
1422C42—1881no—
1423C42—1881no—
1424C42—1881no—
1425C42—1881no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—472no—
1452C23—472no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—948no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23—1884no—
1481C23—1884no—
1482C23—1884no—
1483C23—1884no—
1484C23—1884no—
1485C23—1884no—
1486C23#41×D4712yes—
1487C23#1309407012yes—
1488C23#1309407012yes—
1489C23C24×D4711yescharacteristic
1490Q8—3762no—
1491D4—3762no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—3762no—
1496D4—3762no—
1497D4—3762no—
1498D4—3762no—
1499D4—3762no—
1500D4—1884no—
1501D4—1884no—
1502D4—1884no—
1503D4—1884no—
1504D4—1884no—
1505D4—1884no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—82no—
1543C2×C4—472no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—3762no—
1580C2×C4—3762no—
1581C2×C4—3762no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4—1884no—
1587C2×C4—1884no—
1588C2×C4#1309406912yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—88no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—942no—
1614C22—942no—
1615C22—942no—
1616C22—18816no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22—1881no—
1631C22—1881no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22#1568971214yes—
1640C22C2×#41×D4711yescharacteristic
1641C22H(5,𝔽2)×D4711yescharacteristic
1642C22C2×#1309406911yescharacteristic
1643C22C2×#1309407011yescharacteristic
1644C22C2×#1309407011yescharacteristic
1645C22#1568995811yescharacteristic
1646C22#1568995911yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—942no—
1660C4—1881no—
1661C4—1881no—
1662C4—1881no—
1663C4—1881no—
1664C4—1881no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—3761no—
1675C2—3761no—
1676C2—1882no—
1677C2—1882no—
1678C2C2×#1568971211yescharacteristic
1679C2#2025721611yescharacteristic
1680C2#2025722611yescharacteristic
1681C2#2025753711yescharacteristic
1682C2#2025756011yescharacteristic
1683C2#2025769011yescharacteristic
1684C2#2025769711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2480C2
hypercenter#2480D47
hypocenterC47#36758
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #20251674C2semidirect
2. #20251671C2semidirect
3. #20251238C2semidirect
4. #20251055C2semidirect
5. #20251023C2semidirect
6. #20251005C2semidirect
7. #20251004C2semidirect
8. #20250708C2semidirect
9. #20250669C2semidirect
10. #20250610C2semidirect
11. #20250505C2semidirect
12. #20250382C2semidirect
13. #20250180C2semidirect
14. #20250026C2semidirect
15. #20250010C2semidirect
16. #20249940C2semidirect
17. #20249829C2semidirect
18. #20249695C2semidirect
19. #20249103C2semidirect
20. #20249103C2semidirect
21. #20247779C2semidirect
22. #20247708C2semidirect
23. #20247511C2semidirect
24. #20246937C2semidirect
25. #20246924C2semidirect
26. #20246867C2semidirect
27. #20246854C2semidirect
28. #20246048C2semidirect
29. #20246045C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2480C2semidirect
34. C2×#13094010C22semidirect
37. C2×#13094006C22semidirect
38. C2×#13094002C22semidirect
39. C2×#13094002C22semidirect
41. C2×#13093999C22semidirect
42. C2×#13093999C22semidirect
44. C2×#13093997C22semidirect
53. C47⋊#401C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689063C22semidirect
57. #15689063C22semidirect
58. #15689062C22semidirect
59. #15689061C22semidirect
60. #15689059C22semidirect
61. #15689056C22semidirect
62. #15689055C22semidirect
63. #15689052C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689050C22semidirect
67. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689046C22semidirect
70. #15689045C22semidirect
71. #15689040C22semidirect
80. #15689039C22semidirect
81. #15689039C22semidirect
82. #15689038C22semidirect
83. #15689038C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689036C22semidirect
87. #15689035C22semidirect
96. #15689032C22semidirect
97. #15689029C22semidirect
98. #15689025C22semidirect
99. #15689025C22semidirect
100. #15689024C22semidirect
101. #15689024C22semidirect
102. #15689023C22semidirect
103. #15689023C22semidirect
104. #15689022C22semidirect
105. #15689017C22semidirect
106. #15689016C22semidirect
107. #15689016C22semidirect
108. #15689016C22semidirect
109. #15689015C22semidirect
110. #15689015C22semidirect
111. #15689015C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
114. #15689014C22semidirect
115. #15689014C22semidirect
116. #15689013C22semidirect
117. #15689013C22semidirect
118. #15689012C22semidirect
119. #15689012C22semidirect
120. #15689011C22semidirect
121. #15689010C22semidirect
122. #15689009C22semidirect
123. #15689009C22semidirect
124. #15689006C22semidirect
125. #15689004C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
147. #15688999C22semidirect
148. #15688999C22semidirect
150. #15688997C22semidirect
151. #15688997C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688990C22semidirect
157. #15688989C22semidirect
158. #15688985C22semidirect
161. #15688982C22semidirect
162. #15688982C22semidirect
164. #15688980C22semidirect
165. #15688980C22semidirect
166. #15688980C22semidirect
172. C2×#126×C47C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#397C22semidirect
177. C47×#396C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
851. #2480D47semidirect
876. C2×#126C2×D47semidirect
913. #397C2×D47semidirect
914. #397C2×D47semidirect
915. #397C2×D47semidirect
918. #396C2×D47semidirect
969. #388C2×D47semidirect
970. #388C2×D47semidirect
971. #388C2×D47semidirect
1029. C47#36758semidirect

Maximal subgroups

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

subgroupindex
#202516742
#202516712
#202512382
#202510552
#202510232
#202510052
#202510042
#202507082
#202506692
#202506102
#202505052
#202503822
#202501802
#202500262
#202500102
#202499402
#202498292
#202496952
#202491032
#202477792
#202477082
#202475112
#202469372
#202469242
#202468672
#202468542
#202460482
#202460452
C2×#156889992
C47×#24802
#3675847