Finite Group Databasebeta

← #26379635

Subgroups — #26379635

Order 12032.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689687C211yesmaximal, characteristic
2#20246563C211yesmaximal, characteristic, complemented
3#20246560C211yesmaximal, characteristic, complemented
4#20246547C211yesmaximal, characteristic, complemented
5#20246542C211yesmaximal, characteristic, complemented
6#20246499C211yesmaximal, characteristic, complemented
7#20246451C211yesmaximal, characteristic, complemented
8#20246438C211yesmaximal, characteristic, complemented
9#20246435C211yesmaximal, characteristic, complemented
10#20246368C211yesmaximal, characteristic, complemented
11#20246368C211yesmaximal, characteristic, complemented
12#20246365C211yesmaximal, characteristic, complemented
13#20246365C211yesmaximal, characteristic, complemented
14#20246250C211yesmaximal, characteristic, complemented
15#20246244C211yesmaximal, characteristic, complemented
16#20246218C211yesmaximal, characteristic, complemented
17#20246200C211yesmaximal, characteristic, complemented
18#20246200C211yesmaximal, characteristic, complemented
19#20246153C211yesmaximal, characteristic, complemented
20#20246150C211yesmaximal, characteristic, complemented
21#20246109C211yesmaximal, characteristic, complemented
22#20246109C211yesmaximal, characteristic, complemented
23#20246091C211yesmaximal, characteristic, complemented
24#20246088C211yesmaximal, characteristic, complemented
25#20246051C211yesmaximal, characteristic, complemented
26#20246042C211yesmaximal, characteristic, complemented
27#20245965C211yesmaximal, characteristic, complemented
28#20245893C211yesmaximal, characteristic, complemented
29C4×#13093992C211yesmaximal, characteristic, complemented
30C2×#15689001C211yesmaximal, characteristic, complemented
31C47×#2339C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689687C4116yescomplemented
35C2×#13094020C2211yescharacteristic
36C2×#13094020C2211yescharacteristic
37C2×#13094013C2211yescharacteristic
38C2×#13094013C2211yescharacteristic
39C2×#13093998C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C2×D4×Dic47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×C4×C22⋊D47C2211yescharacteristic, complemented
51C2×C4×C22⋊D47C2211yescharacteristic, complemented
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
54C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
55C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
57C2×#13093983C2211yescharacteristic
58C22×(C2×D47)⋊C4C2211yescharacteristic
59C22×(C2×D47)⋊C4C2211yescharacteristic
60C22×(C2×D47)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63#15689030C2211yescharacteristic, complemented
64#15689030C2211yescharacteristic, complemented
65#15689023C2211yescharacteristic, complemented
66#15689023C2211yescharacteristic, complemented
67#15689023C2211yescharacteristic, complemented
68#15689023C2211yescharacteristic, complemented
69#15689023C2211yescharacteristic, complemented
70#15689023C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic, complemented
72#15689023C2211yescharacteristic, complemented
73#15689015C2211yescharacteristic, complemented
74#15689015C2211yescharacteristic, complemented
75#15689015C2211yescharacteristic, complemented
76#15689015C2211yescharacteristic, complemented
77#15689014C2211yescharacteristic, complemented
78#15689014C2211yescharacteristic, complemented
79#15689014C2211yescharacteristic, complemented
80#15689014C2211yescharacteristic, complemented
81#15689013C2211yescharacteristic, complemented
82#15689013C2211yescharacteristic, complemented
83#15689013C2211yescharacteristic, complemented
84#15689013C2211yescharacteristic, complemented
85#15689012C2211yescharacteristic, complemented
86#15689012C2211yescharacteristic, complemented
87#15689012C2211yescharacteristic, complemented
88#15689012C2211yescharacteristic, complemented
89#15689008C2211yescharacteristic, complemented
90#15689008C2211yescharacteristic, complemented
91#15689008C2211yescharacteristic, complemented
92#15689008C2211yescharacteristic, complemented
93#15689006C2211yescharacteristic, complemented
94#15689006C2211yescharacteristic, complemented
95#15689006C2211yescharacteristic, complemented
96#15689006C2211yescharacteristic, complemented
97#15689003C2211yescharacteristic
98#15689003C2211yescharacteristic
99#15689003C2211yescharacteristic, complemented
100#15689003C2211yescharacteristic, complemented
101#15689002C2211yescharacteristic, complemented
102#15689002C2211yescharacteristic, complemented
103#15689002C2211yescharacteristic, complemented
104#15689002C2211yescharacteristic, complemented
105#15689001C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689000C2211yescharacteristic, complemented
122#15689000C2211yescharacteristic, complemented
123#15689000C2211yescharacteristic, complemented
124#15689000C2211yescharacteristic, complemented
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688999C2211yescharacteristic, complemented
132#15688999C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688997C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688995C2211yescharacteristic
140#15688995C2211yescharacteristic
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic, complemented
144#15688994C2211yescharacteristic, complemented
145#15688990C2211yescharacteristic, complemented
146#15688990C2211yescharacteristic, complemented
147#15688987C2211yescharacteristic, complemented
148#15688987C2211yescharacteristic, complemented
149#15688986C2211yescharacteristic
150#15688986C2211yescharacteristic, complemented
151#15688983C2211yescharacteristic, complemented
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154#15688974C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688968C2211yescharacteristic, complemented
170#15688968C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic
172C2×C47⋊#95C2211yescharacteristic, complemented
173C22×#41×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#391C2211yescharacteristic, complemented
177C47×#391C2211yescharacteristic, complemented
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic
183C47×#381C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×D188—42no—
191C22×D188—42no—
192C22×D188C2×C418yescomplemented
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094020C2×C418yescomplemented
221#13094020C2×C418yescomplemented
222#13094013C2×C418yescomplemented
223#13094013C2×C418yescomplemented
224#13093998C2×C418yescomplemented
225#13093998C2×C418yescomplemented
226#13093998C2×C418yescomplemented
227#13093998C2×C418yescomplemented
228#13093992C2×C418yescomplemented
229#13093992C2×C418yescomplemented
230#13093992C2×C418yescomplemented
231#13093992C2×C418yescomplemented
232D4×Dic47—42no—
233D4×Dic47—42no—
234C4×C22⋊D47—42no—
235C4×C22⋊D47—42no—
236C4×C22⋊D47—42no—
237C4×C22⋊D47—42no—
238(C22⋊D47)⋊C4—42no—
239(C22⋊D47)⋊C4—42no—
240(C22⋊D47)⋊C4—42no—
241(C22⋊D47)⋊C4—42no—
242#13093983C2×C418yescomplemented
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4—42no—
266C2×(C2×D47)⋊C4—42no—
267C2×(C2×D47)⋊C4—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
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
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C2×#41×C47—42no—
343C2×#41×C47—42no—
344C2×#41×C47C2×C418yescomplemented
345C22×Q8×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C4×D4×C47—42no—
357C4×D4×C47—42no—
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊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
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47C22×C414yes—
398C23×D47C22×C414yes—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403#41×C47—416no—
404C2×Q8×C47—41no—
405C2×Q8×C47—41no—
406C2×Q8×C47C22×C414yescomplemented
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47C22×C414yes—
414C2×D4×C47C22×C414yes—
415C2×D4×C47C22×C414yescomplemented
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
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×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47C22×C414yes—
435C22×C4×C47C22×C414yescomplemented
436C22×C4×C47C22×C414yescomplemented
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47C22×C414yes—
466C2×C22⋊D47C22×C414yes—
467C2×C22⋊D47C22×C414yes—
468C2×C22⋊D47C22×C414yes—
469C2×C22⋊D47C22×C414yescomplemented
470C2×C22⋊D47C22×C414yescomplemented
471C2×C22⋊D47C22×C414yescomplemented
472C2×C22⋊D47C22×C414yescomplemented
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C2×D188—416no—
498C2×D188—41no—
499C2×D188—41no—
500C2×D188—41no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188C22×C414yes—
507C2×D188C22×C414yes—
508C2×D188C22×C414yes—
509C2×D188C22×C414yes—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—416no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C4⋊C4×C47—41no—
536C4⋊C4×C47—41no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C42×C47—41no—
546C42×C47—41no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47C22×C414yes—
556C22⋊Dic47C22×C414yes—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
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—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4C22×C414yes—
582(C2×D47)⋊C4C22×C414yes—
583(C2×D47)⋊C4C22×C414yes—
584(C2×D47)⋊C4C22×C414yes—
585(C2×D47)⋊C4C22×C414yescomplemented
586(C2×D47)⋊C4C22×C414yescomplemented
587(C2×D47)⋊C4C22×C414yescomplemented
588(C2×D47)⋊C4C22×C414yescomplemented
589C4⋊Dic47—41no—
590C4⋊Dic47—41no—
591C4⋊Dic47C22×C414yescomplemented
592C4⋊Dic47C22×C414yescomplemented
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C22×C414yescomplemented
612C4×Dic47C22×C414yescomplemented
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—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47C23×C412yes—
630C23×C47C23×C412yes—
631C23×C47C23×C412yes—
632C23×C47H(5,𝔽2)12yes—
633C23×C47H(5,𝔽2)12yes—
634C23×C47C2511yescharacteristic
635C22×D47—28no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—28no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47—44no—
666C22×D47—44no—
667C22×D47—44no—
668C22×D47—44no—
669C22×D47—82no—
670C22×D47—82no—
671C22×D47—82no—
672C22×D47—82no—
673C22×D47C23×C412yes—
674C22×D47C23×C412yes—
675C22×D47C23×C412yes—
676C22×D47C23×C412yes—
677Q8×C47—44no—
678D4×C47—28no—
679D4×C47—28no—
680D4×C47—44no—
681C2×C4×C47—28no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
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—44no—
714C2×C4×C47—44no—
715C2×C4×C47—44no—
716C2×C4×C47—82no—
717C2×C4×C47—82no—
718C2×C4×C47—82no—
719C2×C4×C47C23×C412yes—
720C2×C4×C47C23×C412yes—
721C2×C4×C47C23×C412yes—
722C2×C4×C47C23×C412yes—
723C2×C4×C47H(5,𝔽2)12yes—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
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—44no—
764C2×Dic47—82no—
765C2×Dic47—82no—
766C2×Dic47—82no—
767C2×Dic47C23×C412yes—
768C2×Dic47C23×C412yes—
769C2×Dic47C23×C412yes—
770C2×Dic47C23×C412yes—
771C2×Dic47H(5,𝔽2)12yes—
772D188—44no—
773D188—44no—
774D188—44no—
775D188—44no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—82no—
781C4×D47—82no—
782C4×D47—82no—
783C4×D47—82no—
784#34406—471nomaximal, Sylow
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—22no—
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#51814yes—
806C22×C47C24×C411yescharacteristic
807C22×C47C2×H(5,𝔽2)11yescharacteristic
808C22×C47C2×H(5,𝔽2)11yescharacteristic
809C22×C47C2×H(5,𝔽2)11yescharacteristic
810C22×C47C2×H(5,𝔽2)11yescharacteristic
811C22×C47#58511yescharacteristic
812C22×C47#58511yescharacteristic
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—22no—
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—416no—
826C2×D47—41no—
827C2×D47—41no—
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—88no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—22no—
847C4×C47—22no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855Dic47—22no—
856Dic47—22no—
857Dic47—22no—
858Dic47—22no—
859Dic47—22no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867C2×#535—471no—
868#2380—471no—
869#2379—471no—
870#2377—471no—
871#2377—471no—
872#2372—471no—
873#2366—471no—
874#2364—471no—
875#2364—471no—
876#2358—471no—
877#2358—471no—
878#2358—471no—
879#2358—471no—
880#2343—471no—
881#2343—471no—
882#2339—471no—
883#2339D4711yescharacteristic, complemented
884#2337—471no—
885#2337—471no—
886#2333—471no—
887#2333—471no—
888#2328—471no—
889#2328—471no—
890#2325—471no—
891#2325—471no—
892#2321—471no—
893#2321—471no—
894#2308—471no—
895C4×#120—471no—
896C4×#120—471no—
897C2×#386—471no—
898C2×C47—24no—
899C2×C47—42no—
900C2×C47—42no—
901C2×C47C2×#51811yescharacteristic
902C2×C47C4×H(5,𝔽2)11yescharacteristic
903C2×C47C4×H(5,𝔽2)11yescharacteristic
904C2×C47#353211yescharacteristic
905C2×C47#353311yescharacteristic
906C2×C47#354211yescharacteristic
907C2×C47#354211yescharacteristic
908D47—42no—
909D47—42no—
910D47—42no—
911D47—42no—
912C22×#41C2×D4711yescharacteristic
913C23×D4—471no—
914C24×C4—471no—
915#535—4716no—
916C2×#127—471no—
917C2×#127—471no—
918C2×#124—471no—
919C2×#124—471no—
920C2×#121—471no—
921C2×#121—471no—
922C2×#121—471no—
923C2×#121—471no—
924C2×#120—471no—
925C2×#120—471no—
926C2×#120—471no—
927C2×#120—471no—
928C2×C4×D4—471no—
929C2×C4×D4—471no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4—471no—
934C2×C4×D4—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937C2×C4×D4—471no—
938C2×C4×D4C2×D4711yescharacteristic
939C2×C4×D4C2×D4711yescharacteristic
940C2×#117—471no—
941C22×C22⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4—471no—
946#391—471no—
947#391—471no—
948#391C2×D4711yescharacteristic, complemented
949#391C2×D4711yescharacteristic, complemented
950#390—471no—
951#390—471no—
952#390—471no—
953#390—471no—
954#390—471no—
955#390—471no—
956#390—471no—
957#390—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#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387—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#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#386—471no—
1009#386—471no—
1010#386—471no—
1011#386—471no—
1012#386—471no—
1013#386—471no—
1014#386—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386C2×D4711yescharacteristic
1019#386C2×D4711yescharacteristic
1020#386C2×D4711yescharacteristic, complemented
1021#386C2×D4711yescharacteristic, complemented
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#385—471no—
1031#385—471no—
1032#385—471no—
1033#385—471no—
1034#383—471no—
1035#383—471no—
1036#382—471no—
1037#382—471no—
1038#381—471no—
1039#381—471no—
1040#381C2×D4711yescharacteristic
1041#381C2×D4711yescharacteristic, complemented
1042#380—471no—
1043#380C2×D4711yescharacteristic, complemented
1044#379—471no—
1045#379—471no—
1046C4×C4⋊C4—471no—
1047C4×C4⋊C4—471no—
1048C4×C22⋊C4—471no—
1049C4×C22⋊C4—471no—
1050C4×C22⋊C4—471no—
1051C4×C22⋊C4—471no—
1052C4×C22⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4—471no—
1060C4×C22⋊C4—471no—
1061C4×C22⋊C4C2×D4711yescharacteristic, complemented
1062#376—471no—
1063#376—471no—
1064C2×#95—471no—
1065C2×#95—471no—
1066C2×#95C2×D4711yescharacteristic
1067C2×#95C2×D4711yescharacteristic, complemented
1068C47#3440611yescharacteristic, complemented, Sylow
1069C25—471no—
1070C25—471no—
1071C2×#41—42no—
1072C2×#41—42no—
1073C2×#41C4×D4718yescomplemented
1074C22×Q8C22×D4711yescharacteristic
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—478no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—1882no—
1089C22×D4—1882no—
1090C22×D4C22×D4711yescharacteristic
1091C22×D4C22×D4711yescharacteristic
1092C22×D4C22×D4711yescharacteristic
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—471no—
1104C23×C4—471no—
1105C23×C4—1882no—
1106C23×C4—1882no—
1107C23×C4—1882no—
1108C23×C4C22×D4711yescharacteristic
1109C23×C4C22×D4711yescharacteristic
1110C23×C4C22×D4711yescharacteristic
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113C23×C4C22×D4711yescharacteristic
1114C23×C4C22×D4711yescharacteristic
1115#127—478no—
1116#127—478no—
1117#124—478no—
1118#124—478no—
1119#121—478no—
1120#121—478no—
1121#121—478no—
1122#121—478no—
1123#120—478no—
1124#120—478no—
1125#120—478no—
1126#120—478no—
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—1882no—
1130C4×D4—1882no—
1131C4×D4—1882no—
1132C4×D4—1882no—
1133C4×D4—1882no—
1134C4×D4—1882no—
1135C4×D4—1882no—
1136C4×D4—1882no—
1137C4×D4—1882no—
1138C4×D4—1882no—
1139#117—478no—
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⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
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—1882no—
1197C2×C22⋊C4—1882no—
1198C2×C22⋊C4—1882no—
1199C2×C22⋊C4—1882no—
1200C2×C22⋊C4—1882no—
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—471no—
1217C2×C42—471no—
1218C2×C42—471no—
1219C2×C42—471no—
1220C2×C42—471no—
1221C2×C42C22×D4711yescharacteristic
1222C2×C42C22×D4711yescharacteristic
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
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#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253#95C22×D4711yescharacteristic
1254#95C22×D4711yescharacteristic
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—471no—
1264C24—471no—
1265C24—471no—
1266C24—471no—
1267C24—474no—
1268C24—474no—
1269C24—942no—
1270C24—942no—
1271C24—942no—
1272C24—942no—
1273C24—1881no—
1274C24—1881no—
1275C24—1881no—
1276C24—1881no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24—1881no—
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284#41—416no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8C2×C4×D4714yescomplemented
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—474no—
1295C2×D4—474no—
1296C2×D4—474no—
1297C2×D4—474no—
1298C2×D4—474no—
1299C2×D4—474no—
1300C2×D4—474no—
1301C2×D4—474no—
1302C2×D4—474no—
1303C2×D4—474no—
1304C2×D4—474no—
1305C2×D4—474no—
1306C2×D4—18816no—
1307C2×D4—1881no—
1308C2×D4—1881no—
1309C2×D4—1881no—
1310C2×D4—1881no—
1311C2×D4—1881no—
1312C2×D4—1881no—
1313C2×D4—1881no—
1314C2×D4—1881no—
1315C2×D4—1881no—
1316C2×D4—1881no—
1317C2×D4—1881no—
1318C2×D4—1881no—
1319C2×D4—1881no—
1320C2×D4—1881no—
1321C2×D4—1881no—
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×D4C2×C4×D4714yes—
1332C2×D4C2×C4×D4714yes—
1333C2×D4C2×C4×D4714yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—471no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—942no—
1365C22×C4—942no—
1366C22×C4—942no—
1367C22×C4—942no—
1368C22×C4—942no—
1369C22×C4—942no—
1370C22×C4—942no—
1371C22×C4—942no—
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—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—18816no—
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×C4C2×C4×D4714yes—
1402C22×C4C2×C4×D4714yescomplemented
1403C22×C4C2×C4×D4714yescomplemented
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C22×C4C23×D4711yescharacteristic
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—474no—
1419C4⋊C4—474no—
1420C4⋊C4—942no—
1421C4⋊C4—942no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4—1881no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—474no—
1439C22⋊C4—474no—
1440C22⋊C4—474no—
1441C22⋊C4—474no—
1442C22⋊C4—474no—
1443C22⋊C4—474no—
1444C22⋊C4—474no—
1445C22⋊C4—474no—
1446C22⋊C4—474no—
1447C22⋊C4—474no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—1881no—
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—
1480C42—41no—
1481C42—41no—
1482C42—474no—
1483C42—474no—
1484C42—942no—
1485C42—942no—
1486C42—1881no—
1487C42—1881no—
1488C42—1881no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C42—1881no—
1494C23—21no—
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—472no—
1511C23—472no—
1512C23—472no—
1513C23—472no—
1514C23—948no—
1515C23—948no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—941no—
1520C23—941no—
1521C23—941no—
1522C23—941no—
1523C23—941no—
1524C23—941no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—3762no—
1541C23—3762no—
1542C23—3762no—
1543C23—3762no—
1544C23—1884no—
1545C23—1884no—
1546C23—1884no—
1547C23—1884no—
1548C23—1884no—
1549C23—1884no—
1550C23—1884no—
1551C23—1884no—
1552C23C22×C4×D4712yes—
1553C23C22×C4×D4712yes—
1554C23C22×C4×D4712yes—
1555C23#1309406912yes—
1556C23#1309406912yes—
1557C23C24×D4711yescharacteristic
1558Q8—44no—
1559D4—28no—
1560D4—28no—
1561D4—44no—
1562D4—1884no—
1563D4—1884no—
1564D4—1884no—
1565D4—1884no—
1566D4—1884no—
1567D4—1884no—
1568D4—1884no—
1569D4—1884no—
1570D4—1884no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574C2×C4—28no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
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—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—472no—
1615C2×C4—472no—
1616C2×C4—472no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
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—3762no—
1649C2×C4—3762no—
1650C2×C4—3762no—
1651C2×C4—3762no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—3762no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4C22×C4×D4712yes—
1661C2×C4C22×C4×D4712yes—
1662C2×C4C22×C4×D4712yes—
1663C2×C4C22×C4×D4712yes—
1664C2×C4#1309407012yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—942no—
1686C22—942no—
1687C22—942no—
1688C22—942no—
1689C22—942no—
1690C22—942no—
1691C22—942no—
1692C22—942no—
1693C22—942no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—3768no—
1698C22—18816no—
1699C22—1881no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22#1568959614yes—
1716C22C23×C4×D4711yescharacteristic
1717C22H(5,𝔽2)×D4711yescharacteristic
1718C22C2×#1309406911yescharacteristic
1719C22C2×#1309406911yescharacteristic
1720C22C2×#1309407011yescharacteristic
1721C22#1568995911yescharacteristic
1722C22#1568996011yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—942no—
1736C4—942no—
1737C4—942no—
1738C4—942no—
1739C4—942no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—1882no—
1751C2—1882no—
1752C2—1882no—
1753C2—1882no—
1754C2C2×#1568959611yescharacteristic
1755C2#2025659411yescharacteristic
1756C2C4×#1309407011yescharacteristic
1757C2#2025753711yescharacteristic
1758C2#2025755811yescharacteristic
1759C2#2025768911yescharacteristic
1760C2#2025770511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2339C2
socle, cosocleC23×C47C25
prime radicalC2×#15689687C2
hypercenter#2339D47
hypocenterC47#34406
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #20246563C2semidirect
3. #20246560C2semidirect
4. #20246547C2semidirect
5. #20246542C2semidirect
6. #20246499C2semidirect
7. #20246451C2semidirect
8. #20246438C2semidirect
9. #20246435C2semidirect
10. #20246368C2semidirect
11. #20246368C2semidirect
12. #20246365C2semidirect
13. #20246365C2semidirect
14. #20246250C2semidirect
15. #20246244C2semidirect
16. #20246218C2semidirect
17. #20246200C2semidirect
18. #20246200C2semidirect
19. #20246153C2semidirect
20. #20246150C2semidirect
21. #20246109C2semidirect
22. #20246109C2semidirect
23. #20246091C2semidirect
24. #20246088C2semidirect
25. #20246051C2semidirect
26. #20246042C2semidirect
27. #20245965C2semidirect
28. #20245893C2semidirect
29. C4×#13093992C2semidirect
30. C2×#15689001C2semidirect
31. C47×#2339C2semidirect
34. #15689687C4semidirect
49. C2×C4×C22⋊D47C22semidirect
50. C2×C4×C22⋊D47C22semidirect
51. C2×C4×C22⋊D47C22semidirect
52. C2×C4×C22⋊D47C22semidirect
53. C2×(C22⋊D47)⋊C4C22semidirect
54. C2×(C22⋊D47)⋊C4C22semidirect
55. C2×(C22⋊D47)⋊C4C22semidirect
56. C2×(C22⋊D47)⋊C4C22semidirect
63. #15689030C22semidirect
64. #15689030C22semidirect
65. #15689023C22semidirect
66. #15689023C22semidirect
67. #15689023C22semidirect
68. #15689023C22semidirect
69. #15689023C22semidirect
70. #15689023C22semidirect
71. #15689023C22semidirect
72. #15689023C22semidirect
73. #15689015C22semidirect
74. #15689015C22semidirect
75. #15689015C22semidirect
76. #15689015C22semidirect
77. #15689014C22semidirect
78. #15689014C22semidirect
79. #15689014C22semidirect
80. #15689014C22semidirect
81. #15689013C22semidirect
82. #15689013C22semidirect
83. #15689013C22semidirect
84. #15689013C22semidirect
85. #15689012C22semidirect
86. #15689012C22semidirect
87. #15689012C22semidirect
88. #15689012C22semidirect
89. #15689008C22semidirect
90. #15689008C22semidirect
91. #15689008C22semidirect
92. #15689008C22semidirect
93. #15689006C22semidirect
94. #15689006C22semidirect
95. #15689006C22semidirect
96. #15689006C22semidirect
99. #15689003C22semidirect
100. #15689003C22semidirect
101. #15689002C22semidirect
102. #15689002C22semidirect
103. #15689002C22semidirect
104. #15689002C22semidirect
121. #15689000C22semidirect
122. #15689000C22semidirect
123. #15689000C22semidirect
124. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
131. #15688999C22semidirect
132. #15688999C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688997C22semidirect
136. #15688997C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688994C22semidirect
144. #15688994C22semidirect
145. #15688990C22semidirect
146. #15688990C22semidirect
147. #15688987C22semidirect
148. #15688987C22semidirect
150. #15688986C22semidirect
151. #15688983C22semidirect
154. #15688974C22semidirect
155. #15688974C22semidirect
158. C4×(C2×D47)⋊C4C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
164. C4×C22⋊Dic47C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
169. #15688968C22semidirect
170. #15688968C22semidirect
172. C2×C47⋊#95C22semidirect
176. C47×#391C22semidirect
177. C47×#391C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
183. C47×#381C22semidirect
184. C47×#380C22semidirect
185. C4×C22⋊C4×C47C22semidirect
187. C2×#95×C47C22semidirect
192. C22×D188C2×C4semidirect
220. #13094020C2×C4semidirect
221. #13094020C2×C4semidirect
222. #13094013C2×C4semidirect
223. #13094013C2×C4semidirect
224. #13093998C2×C4semidirect
225. #13093998C2×C4semidirect
226. #13093998C2×C4semidirect
227. #13093998C2×C4semidirect
228. #13093992C2×C4semidirect
229. #13093992C2×C4semidirect
230. #13093992C2×C4semidirect
231. #13093992C2×C4semidirect
242. #13093983C2×C4semidirect
344. C2×#41×C47C2×C4semidirect
406. C2×Q8×C47C22×C4semidirect
415. C2×D4×C47C22×C4semidirect
435. C22×C4×C47C22×C4semidirect
436. C22×C4×C47C22×C4semidirect
469. C2×C22⋊D47C22×C4semidirect
470. C2×C22⋊D47C22×C4semidirect
471. C2×C22⋊D47C22×C4semidirect
472. C2×C22⋊D47C22×C4semidirect
585. (C2×D47)⋊C4C22×C4semidirect
586. (C2×D47)⋊C4C22×C4semidirect
587. (C2×D47)⋊C4C22×C4semidirect
588. (C2×D47)⋊C4C22×C4semidirect
591. C4⋊Dic47C22×C4semidirect
592. C4⋊Dic47C22×C4semidirect
611. C4×Dic47C22×C4semidirect
612. C4×Dic47C22×C4semidirect
883. #2339D47semidirect
948. #391C2×D47semidirect
949. #391C2×D47semidirect
1020. #386C2×D47semidirect
1021. #386C2×D47semidirect
1041. #381C2×D47semidirect
1043. #380C2×D47semidirect
1061. C4×C22⋊C4C2×D47semidirect
1067. C2×#95C2×D47semidirect
1068. C47#34406semidirect
1073. C2×#41C4×D47semidirect
1287. C2×Q8C2×C4×D47semidirect
1333. C2×D4C2×C4×D47semidirect
1402. C22×C4C2×C4×D47semidirect
1403. C22×C4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896872
#202465632
#202465602
#202465472
#202465422
#202464992
#202464512
#202464382
#202464352
#202463682
#202463652
#202462502
#202462442
#202462182
#202462002
#202461532
#202461502
#202461092
#202460912
#202460882
#202460512
#202460422
#202459652
#202458932
C4×#130939922
C2×#156890012
C47×#23392
#3440647