Finite Group Databasebeta

← #26424572

Subgroups — #26424572

Order 12032.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251679C211yesmaximal, characteristic, complemented
2#20251676C211yesmaximal, characteristic, complemented
3#20251059C211yesmaximal, characteristic, complemented
4#20250619C211yesmaximal, characteristic, complemented
5#20250579C211yesmaximal, characteristic, complemented
6#20250572C211yesmaximal, characteristic, complemented
7#20250527C211yesmaximal, characteristic, complemented
8#20250360C211yesmaximal, characteristic, complemented
9#20250108C211yesmaximal, characteristic, complemented
10#20250099C211yesmaximal, characteristic, complemented
11#20250080C211yesmaximal, characteristic, complemented
12#20249934C211yesmaximal, characteristic, complemented
13#20249927C211yesmaximal, characteristic, complemented
14#20249899C211yesmaximal, characteristic, complemented
15#20249893C211yesmaximal, characteristic, complemented
16#20249874C211yesmaximal, characteristic, complemented
17#20249812C211yesmaximal, characteristic, complemented
18#20249739C211yesmaximal, characteristic, complemented
19#20249361C211yesmaximal, characteristic, complemented
20#20249343C211yesmaximal, characteristic, complemented
21#20247885C211yesmaximal, characteristic, complemented
22#20247639C211yesmaximal, characteristic, complemented
23#20247216C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246848C211yesmaximal, characteristic, complemented
26#20246763C211yesmaximal, characteristic
27#20246715C211yesmaximal, characteristic, complemented
28#20246049C211yesmaximal, characteristic, complemented
29#20246002C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2412C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094008C2211yescharacteristic, complemented
36C2×#13094007C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13094004C2211yescharacteristic, complemented
41C2×#13094004C2211yescharacteristic, complemented
42C2×#13094003C2211yescharacteristic
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13093996C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×C22⋊Dic47C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689063C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689062C2211yescharacteristic, complemented
61#15689062C2211yescharacteristic, complemented
62#15689061C2211yescharacteristic, complemented
63#15689060C2211yescharacteristic, complemented
64#15689059C2211yescharacteristic, complemented
65#15689056C2211yescharacteristic, complemented
66#15689056C2211yescharacteristic, complemented
67#15689056C2211yescharacteristic, complemented
68#15689055C2211yescharacteristic, complemented
69#15689055C2211yescharacteristic, complemented
70#15689055C2211yescharacteristic, complemented
71#15689052C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689050C2211yescharacteristic, complemented
75#15689050C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic, complemented
78#15689046C2211yescharacteristic, complemented
79#15689046C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689045C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689035C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689031C2211yescharacteristic
94#15689031C2211yescharacteristic
95#15689027C2211yescharacteristic, complemented
96#15689026C2211yescharacteristic, complemented
97#15689026C2211yescharacteristic, complemented
98#15689018C2211yescharacteristic, complemented
99#15689016C2211yescharacteristic, complemented
100#15689016C2211yescharacteristic, complemented
101#15689016C2211yescharacteristic, complemented
102#15689016C2211yescharacteristic, complemented
103#15689015C2211yescharacteristic, complemented
104#15689015C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689013C2211yescharacteristic, complemented
107#15689012C2211yescharacteristic, complemented
108#15689009C2211yescharacteristic, complemented
109#15689008C2211yescharacteristic, complemented
110#15689006C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic
113#15689003C2211yescharacteristic, complemented
114#15689003C2211yescharacteristic, complemented
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689000C2211yescharacteristic
118#15689000C2211yescharacteristic
119#15689000C2211yescharacteristic, complemented
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic
131#15688998C2211yescharacteristic
132#15688998C2211yescharacteristic
133#15688998C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic, complemented
136#15688998C2211yescharacteristic, complemented
137#15688998C2211yescharacteristic, complemented
138#15688998C2211yescharacteristic, complemented
139#15688998C2211yescharacteristic, complemented
140#15688998C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic
148#15688996C2211yescharacteristic
149#15688995C2211yescharacteristic
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic, complemented
153#15688987C2211yescharacteristic, complemented
154#15688985C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic, complemented
156#15688983C2211yescharacteristic
157#15688983C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic, complemented
159#15688983C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic, complemented
161#15688981C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic, complemented
163#15688980C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688979C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47—24no—
190C22×C22⋊D47—42no—
191C22×C22⋊D47—42no—
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094008—42no—
213#13094007—42no—
214#13094007—42no—
215#13094006—42no—
216#13094006—42no—
217#13094004—42no—
218#13094004—42no—
219#13094003—42no—
220#13094001—42no—
221#13093996—42no—
222#13093996—42no—
223#13093992—42no—
224D4×Dic47—42no—
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47—42no—
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×(C2×D47)⋊C4—42no—
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×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
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
330C25×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#123×C47—42no—
339#120×C47—24no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47—24no—
345C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×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—41no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47#4114yes—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C24×C47C2411yescharacteristic
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—22no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
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—41no—
439C2×C22⋊D47—416no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—416no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
525C22⋊Dic47—41no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
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—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558Dic47⋊C4—22no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—28no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—44no—
598C23×C47—44no—
599C23×C47—82no—
600C23×C47—82no—
601C23×C47—82no—
602C23×C47—82no—
603C23×C47C2×#4112yes—
604C23×C47C2×#4112yes—
605C23×C47C2×#4112yes—
606C23×C47H(5,𝔽2)12yes—
607C23×C472−1+412yes—
608C23×C47C2511yescharacteristic
609C22×D47—28no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
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—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47H(5,𝔽2)12yes—
629C22×D47H(5,𝔽2)12yes—
630D4×C47—44no—
631D4×C47—82no—
632D4×C47—82no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
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—44no—
666C2×C4×C47—82no—
667C2×C4×C47—82no—
668C2×C4×C47—82no—
669C2×C4×C47H(5,𝔽2)12yes—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
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—44no—
719C2×Dic47—44no—
720C2×Dic47—82no—
721C2×Dic47—82no—
722C2×Dic47—82no—
723C2×Dic47—82no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728Dic94—82no—
729#36775—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—22no—
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—88no—
758C22×C47#53914yes—
759C22×C47C22×#4111yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C22×C47C2×H(5,𝔽2)11yescharacteristic
762C22×C47C2×H(5,𝔽2)11yescharacteristic
763C22×C47C2×H(5,𝔽2)11yescharacteristic
764C22×C47C2×2−1+411yescharacteristic
765C22×C47#58511yescharacteristic
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—416no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C4×C47—22no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806#2849—471no—
807#2848—471no—
808#2782—471no—
809#2750—471no—
810#2746—471no—
811#2746—471no—
812#2743—471no—
813#2728—471no—
814#2708—471no—
815#2708—471no—
816#2706—471no—
817#2696—471no—
818#2695—471no—
819#2693—471no—
820#2693—471no—
821#2691—471no—
822#2687—471no—
823#2681—471no—
824#2646—471no—
825#2643—471no—
826#2505—471no—
827#2480—471no—
828#2450—471no—
829#2437—471no—
830#2418—471no—
831#2412D4711yescharacteristic, complemented
832#2410—471no—
833#2405—471no—
834#2321—471no—
835#2315—471no—
836C2×#386—471no—
837C2×C47—24no—
838C2×C47—42no—
839C2×C47—42no—
840C2×C47—81no—
841C2×C47C2×#53911yescharacteristic
842C2×C47#349011yescharacteristic
843C2×C47#350511yescharacteristic
844C2×C47#353211yescharacteristic
845C2×C47#353411yescharacteristic
846C2×C47#353511yescharacteristic
847C2×C47#353611yescharacteristic
848D47—42no—
849D47—42no—
850C23×D4—471no—
851C24×C4—471no—
852C2×#126—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×#123C2×D4711yescharacteristic, complemented
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120C2×D4711yescharacteristic
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871C22×C22⋊C4C2×D4711yescharacteristic
872C22×C22⋊C4C2×D4711yescharacteristic
873#401—471no—
874#400—471no—
875#400—471no—
876#400—471no—
877#400—471no—
878#400—471no—
879#400—471no—
880#400—471no—
881#400—471no—
882#400—471no—
883#400—471no—
884#400—471no—
885#399—471no—
886#399—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397C2×D4711yescharacteristic, complemented
901#397C2×D4711yescharacteristic, complemented
902#396—471no—
903#396—471no—
904#396—471no—
905#396—471no—
906#396—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394C2×D4711yescharacteristic, complemented
916#394C2×D4711yescharacteristic, complemented
917#393—471no—
918#393—471no—
919#392—471no—
920#392—471no—
921#391—471no—
922#390—471no—
923#390—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386C2×D4711yescharacteristic
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic, complemented
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385C2×D4711yescharacteristic, complemented
983#382—471no—
984#381—471no—
985#381—471no—
986#381C2×D4711yescharacteristic, complemented
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380C2×D4711yescharacteristic
997#380C2×D4711yescharacteristic
998#379—471no—
999#379—471no—
1000#379—471no—
1001#379—471no—
1002C4×C22⋊C4—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C47#3677511yescharacteristic, complemented, Sylow
1006C25—471no—
1007C25C22×D4711yescharacteristic
1008C22×Q8—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—944no—
1016C22×D4—1882no—
1017C22×D4—1882no—
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—1882no—
1032C23×C4—1882no—
1033C23×C4—1882no—
1034C23×C4C22×D4711yescharacteristic
1035C23×C4C22×D4711yescharacteristic
1036C23×C4C22×D4711yescharacteristic
1037C23×C4C22×D4711yescharacteristic
1038#126—1882no—
1039#123—42no—
1040#123—1882no—
1041#123—1882no—
1042#123—1882no—
1043#123—1882no—
1044#123—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047C22⋊Q8—1882no—
1048C22⋊Q8—1882no—
1049#121—1882no—
1050#121—1882no—
1051#120—24no—
1052#120—1882no—
1053C4×D4—1882no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C22⋊C4—24no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
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—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4—1882no—
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
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#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—471no—
1195C24—471no—
1196C24—942no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—942no—
1201C24—1881no—
1202C24—1881no—
1203C24#1062535214yes—
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C2×Q8—942no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—18816no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—18816no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—942no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C4⋊C4—1881no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C42—1881no—
1390C42—1881no—
1391C42—1881no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—82no—
1419C23—82no—
1420C23—82no—
1421C23—82no—
1422C23—472no—
1423C23—472no—
1424C23—948no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23C2×#1062535212yes—
1444C23C2×#1062535212yes—
1445C23C2×#1062535212yes—
1446C23#1309407012yes—
1447C23#1309407112yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3762no—
1454D4—3762no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
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—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—3762no—
1538C2×C4—3762no—
1539C2×C4—3762no—
1540C2×C4—3762no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4—1884no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4#1309406912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—18816no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22#1568971714yes—
1592C22C22×#1062535211yescharacteristic
1593C22H(5,𝔽2)×D4711yescharacteristic
1594C22H(5,𝔽2)×D4711yescharacteristic
1595C22C2×#1309406911yescharacteristic
1596C22C2×#1309407011yescharacteristic
1597C22C2×#1309407111yescharacteristic
1598C22#1568995911yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—1882no—
1629C2—1882no—
1630C2C2×#1568971711yescharacteristic
1631C2#2025707611yescharacteristic
1632C2#2025722211yescharacteristic
1633C2#2025753711yescharacteristic
1634C2#2025758111yescharacteristic
1635C2#2025758411yescharacteristic
1636C2#2025760811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2412C2
prime radical#20246763C2
hypercenter#2412D47
hypocenterC47#36775
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. #20251679C2semidirect
2. #20251676C2semidirect
3. #20251059C2semidirect
4. #20250619C2semidirect
5. #20250579C2semidirect
6. #20250572C2semidirect
7. #20250527C2semidirect
8. #20250360C2semidirect
9. #20250108C2semidirect
10. #20250099C2semidirect
11. #20250080C2semidirect
12. #20249934C2semidirect
13. #20249927C2semidirect
14. #20249899C2semidirect
15. #20249893C2semidirect
16. #20249874C2semidirect
17. #20249812C2semidirect
18. #20249739C2semidirect
19. #20249361C2semidirect
20. #20249343C2semidirect
21. #20247885C2semidirect
22. #20247639C2semidirect
23. #20247216C2semidirect
24. #20247049C2semidirect
25. #20246848C2semidirect
27. #20246715C2semidirect
28. #20246049C2semidirect
29. #20246002C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2412C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094008C22semidirect
38. C2×#13094006C22semidirect
39. C2×#13094006C22semidirect
40. C2×#13094004C22semidirect
41. C2×#13094004C22semidirect
43. C2×#13094001C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689063C22semidirect
59. #15689063C22semidirect
60. #15689062C22semidirect
61. #15689062C22semidirect
62. #15689061C22semidirect
63. #15689060C22semidirect
64. #15689059C22semidirect
65. #15689056C22semidirect
66. #15689056C22semidirect
67. #15689056C22semidirect
68. #15689055C22semidirect
69. #15689055C22semidirect
70. #15689055C22semidirect
71. #15689052C22semidirect
72. #15689051C22semidirect
73. #15689051C22semidirect
74. #15689050C22semidirect
75. #15689050C22semidirect
76. #15689049C22semidirect
77. #15689048C22semidirect
78. #15689046C22semidirect
79. #15689046C22semidirect
80. #15689046C22semidirect
81. #15689046C22semidirect
82. #15689045C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
91. #15689035C22semidirect
92. #15689035C22semidirect
95. #15689027C22semidirect
96. #15689026C22semidirect
97. #15689026C22semidirect
98. #15689018C22semidirect
99. #15689016C22semidirect
100. #15689016C22semidirect
101. #15689016C22semidirect
102. #15689016C22semidirect
103. #15689015C22semidirect
104. #15689015C22semidirect
105. #15689015C22semidirect
106. #15689013C22semidirect
107. #15689012C22semidirect
108. #15689009C22semidirect
109. #15689008C22semidirect
110. #15689006C22semidirect
113. #15689003C22semidirect
114. #15689003C22semidirect
119. #15689000C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
135. #15688998C22semidirect
136. #15688998C22semidirect
137. #15688998C22semidirect
138. #15688998C22semidirect
139. #15688998C22semidirect
140. #15688998C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
152. #15688995C22semidirect
153. #15688987C22semidirect
154. #15688985C22semidirect
155. #15688985C22semidirect
157. #15688983C22semidirect
158. #15688983C22semidirect
159. #15688983C22semidirect
160. #15688983C22semidirect
161. #15688981C22semidirect
162. #15688981C22semidirect
163. #15688980C22semidirect
164. #15688980C22semidirect
172. C2×#123×C47C22semidirect
176. C47×#397C22semidirect
177. C47×#397C22semidirect
178. C47×#394C22semidirect
179. C47×#394C22semidirect
182. C47×#386C22semidirect
183. C47×#385C22semidirect
184. C47×#381C22semidirect
831. #2412D47semidirect
858. C2×#123C2×D47semidirect
900. #397C2×D47semidirect
901. #397C2×D47semidirect
915. #394C2×D47semidirect
916. #394C2×D47semidirect
958. #386C2×D47semidirect
982. #385C2×D47semidirect
986. #381C2×D47semidirect
1005. C47#36775semidirect

Maximal subgroups

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

subgroupindex
#202516792
#202516762
#202510592
#202506192
#202505792
#202505722
#202505272
#202503602
#202501082
#202500992
#202500802
#202499342
#202499272
#202498992
#202498932
#202498742
#202498122
#202497392
#202493612
#202493432
#202478852
#202476392
#202472162
#202470492
#202468482
#202467632
#202467152
#202460492
#202460022
C2×#156889992
C47×#24122
#3677547