Finite Group Databasebeta

← #26376835

Subgroups — #26376835

Order 12032.

2698 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689631C211yesmaximal, characteristic
2#20246524C211yesmaximal, characteristic, complemented
3#20246519C211yesmaximal, characteristic, complemented
4#20246519C211yesmaximal, characteristic, complemented
5#20246427C211yesmaximal, characteristic, complemented
6#20246421C211yesmaximal, characteristic, complemented
7#20246416C211yesmaximal, characteristic, complemented
8#20246410C211yesmaximal, characteristic, complemented
9#20246358C211yesmaximal, characteristic, complemented
10#20246357C211yesmaximal, characteristic, complemented
11#20246327C211yesmaximal, characteristic, complemented
12#20246322C211yesmaximal, characteristic, complemented
13#20246278C211yesmaximal, characteristic, complemented
14#20246270C211yesmaximal, characteristic, complemented
15#20246227C211yesmaximal, characteristic, complemented
16#20246214C211yesmaximal, characteristic, complemented
17#20246050C211yesmaximal, characteristic, complemented
18#20246047C211yesmaximal, characteristic, complemented
19#20246044C211yesmaximal, characteristic, complemented
20#20246041C211yesmaximal, characteristic, complemented
21#20246020C211yesmaximal, characteristic, complemented
22#20246018C211yesmaximal, characteristic, complemented
23#20245922C211yesmaximal, characteristic, complemented
24C4×#13094002C211yesmaximal, characteristic, complemented
25#20245900C211yesmaximal, characteristic, complemented
26C4×#13093997C211yesmaximal, characteristic, complemented
27#20245769C211yesmaximal, characteristic, complemented
28#20245748C211yesmaximal, characteristic, complemented
29#20245747C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2374C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689631C4116yescomplemented
35C2×#13094007C2211yescharacteristic
36C2×#13094002C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093994C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×C4×Dic94C2211yescharacteristic, complemented
43C2×#13093989C2211yescharacteristic, complemented
44C2×C4×D188C2211yescharacteristic
45C2×#13093986C2211yescharacteristic
46C2×#13093986C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
54C2×#13093981C2211yescharacteristic
55C2×#13093981C2211yescharacteristic
56C2×#13093980C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C22⋊C4×D47C2211yescharacteristic
59C2×C42×D47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61#15689027C2211yescharacteristic, complemented
62#15689027C2211yescharacteristic, complemented
63#15689026C2211yescharacteristic
64#15689025C2211yescharacteristic
65#15689024C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic, complemented
72#15689020C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689018C2211yescharacteristic, complemented
75#15689018C2211yescharacteristic, complemented
76#15689017C2211yescharacteristic
77#15689017C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689016C2211yescharacteristic
80#15689016C2211yescharacteristic, complemented
81#15689016C2211yescharacteristic, complemented
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic, complemented
87#15689014C2211yescharacteristic, complemented
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic
90#15689012C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic, complemented
93#15689012C2211yescharacteristic, complemented
94#15689011C2211yescharacteristic
95#15689011C2211yescharacteristic
96#15689009C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689007C2211yescharacteristic, complemented
99#15689007C2211yescharacteristic, complemented
100#15689005C2211yescharacteristic, complemented
101#15689005C2211yescharacteristic, complemented
102#15689003C2211yescharacteristic
103#15689002C2211yescharacteristic
104#15689001C2211yescharacteristic
105#15689001C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689000C2211yescharacteristic
109#15688999C2211yescharacteristic
110#15688999C2211yescharacteristic
111#15688999C2211yescharacteristic
112#15688999C2211yescharacteristic
113#15688997C2211yescharacteristic
114#15688997C2211yescharacteristic
115#15688994C2211yescharacteristic
116#15688994C2211yescharacteristic
117#15688990C2211yescharacteristic, complemented
118#15688990C2211yescharacteristic, complemented
119#15688988C2211yescharacteristic, complemented
120#15688987C2211yescharacteristic, complemented
121#15688985C2211yescharacteristic
122#15688985C2211yescharacteristic
123#15688985C2211yescharacteristic, complemented
124#15688984C2211yescharacteristic, complemented
125#15688982C2211yescharacteristic
126#15688982C2211yescharacteristic
127#15688981C2211yescharacteristic
128#15688981C2211yescharacteristic
129#15688981C2211yescharacteristic, complemented
130#15688980C2211yescharacteristic, complemented
131#15688978C2211yescharacteristic
132#15688978C2211yescharacteristic
133C4⋊C4×Dic47C2211yescharacteristic, complemented
134C4⋊C4×Dic47C2211yescharacteristic, complemented
135C4⋊C4×Dic47C2211yescharacteristic, complemented
136C4×Dic47⋊C4C2211yescharacteristic, complemented
137C4×Dic47⋊C4C2211yescharacteristic, complemented
138C4×Dic47⋊C4C2211yescharacteristic, complemented
139C4×Dic47⋊C4C2211yescharacteristic, complemented
140C4×Dic47⋊C4C2211yescharacteristic, complemented
141#15688974C2211yescharacteristic, complemented
142#15688974C2211yescharacteristic, complemented
143#15688974C2211yescharacteristic, complemented
144#15688974C2211yescharacteristic, complemented
145C22⋊C4×Dic47C2211yescharacteristic
146C22⋊C4×Dic47C2211yescharacteristic
147C22⋊C4×Dic47C2211yescharacteristic, complemented
148C22⋊C4×Dic47C2211yescharacteristic, complemented
149C22⋊C4×Dic47C2211yescharacteristic, complemented
150C4×(C2×D47)⋊C4C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688969C2211yescharacteristic, complemented
168#15688968C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C2×#10625352—42no—
190C2×#10625352—42no—
191C2×#10625352C2×C418yescomplemented
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2×C418yescomplemented
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094007C2×C418yescomplemented
217#13094002C2×C418yescomplemented
218#13094002C2×C418yescomplemented
219#13093997C2×C418yes—
220#13093997C2×C418yescomplemented
221#13093994C2×C418yescomplemented
222#13093992C2×C418yescomplemented
223C4×Dic94—42no—
224#13093989—42no—
225C4×D188—24no—
226#13093986—24no—
227#13093986C2×C418yescomplemented
228#13093986C2×C418yescomplemented
229C4×C22⋊D47—24no—
230C4×C22⋊D47—42no—
231(C22⋊D47)⋊C4—24no—
232(C22⋊D47)⋊C4—42no—
233(C22⋊D47)⋊C4C2×C418yescomplemented
234(C22⋊D47)⋊C4C2×C418yescomplemented
235#13093981—42no—
236#13093981—42no—
237#13093980C2×C418yescomplemented
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×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×(C2×D47)⋊C4C2311yescharacteristic
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
287C22⋊C4×D47—24no—
288C22⋊C4×D47—24no—
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C42×D47—42no—
309C42×D47—42no—
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
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47C2×C418yescomplemented
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊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
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—22no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47C22×C414yes—
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
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47C22×C414yes—
419C2×C22⋊D47C22×C414yes—
420C2×C22⋊D47C22×C414yes—
421C2×C22⋊D47C22×C414yes—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47C22×C414yes—
430C22×Dic47C22×C414yes—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444#10625352—416no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188C22×C414yes—
450C2×D188C22×C414yes—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—416no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47C22×C414yes—
479C2×C4×D47C22×C414yes—
480C2×C4×D47C22×C414yes—
481C2×C4×D47C22×C414yes—
482C2×C4×D47C22×C414yes—
483C2×C4×D47#4114yescomplemented
484C2×C4×D47#4114yescomplemented
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94C22×C414yes—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47C22×C414yes—
492C4⋊C4×C47C22×C414yes—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47C22×C414yes—
501C22⋊C4×C47C22×C414yes—
502C22⋊C4×C47C22×C414yes—
503C42×C47—22no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47C22×C414yes—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540(C2×D47)⋊C4C22×C414yes—
541(C2×D47)⋊C4C22×C414yes—
542C4⋊Dic47—22no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4C22×C414yes—
556Dic47⋊C4C22×C414yes—
557Dic47⋊C4C22×C414yes—
558Dic47⋊C4C22×C414yes—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47—41no—
576C4×Dic47C22×C414yes—
577C4×Dic47C22×C414yes—
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—21no—
590C23×C47C23×C412yes—
591C23×C47C23×C412yes—
592C23×C47C2511yescharacteristic
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—28no—
610C22×D47—44no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47C23×C412yes—
619C22×D47C2×#4112yes—
620C22×D47C2×#4112yes—
621D4×C47—44no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
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—44no—
655C2×C4×C47—82no—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47C2×#4112yes—
662C2×C4×C47C2×#4112yes—
663C22⋊D47—28no—
664C22⋊D47—28no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—28no—
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—44no—
699C2×Dic47—82no—
700C2×Dic47C23×C412yes—
701C2×Dic47C23×C412yes—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C2×#4112yes—
706C2×Dic47C2×#4112yes—
707C2×Dic47H(5,𝔽2)12yes—
708C2×Dic47H(5,𝔽2)12yes—
709D188—28no—
710D188—44no—
711C4×D47—28no—
712C4×D47—28no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—82no—
721C4×D47—82no—
722Dic94—28no—
723#34223—471nomaximal, Sylow
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47C24×C411yescharacteristic
739C22×C47C22×#4111yescharacteristic
740C22×C47C22×#4111yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×H(5,𝔽2)11yescharacteristic
743C22×C47#58511yescharacteristic
744C22×C47#58511yescharacteristic
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—416no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47C4×#4114yes—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—22no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47#51814yes—
793C2×#525—471no—
794#2374—471no—
795#2374—471no—
796#2374—471no—
797#2374D4711yescharacteristic, complemented
798#2363—471no—
799#2363—471no—
800#2362—471no—
801#2362—471no—
802#2357—471no—
803#2357—471no—
804#2353—471no—
805#2353—471no—
806#2347—471no—
807#2346—471no—
808#2341—471no—
809#2339—471no—
810#2321—471no—
811#2321—471no—
812#2321—471no—
813#2321—471no—
814#2318—471no—
815#2318—471no—
816C4×C22⋊Q8—471no—
817C4×C22⋊Q8—471no—
818C4×#121—471no—
819C4×#121—471no—
820#2280—471no—
821#2275—471no—
822#2275—471no—
823C2×C4×C22⋊C4—471no—
824C2×C47—42no—
825C2×C47—42no—
826C2×C47C2×C4×#4111yescharacteristic
827C2×C47C2×#51811yescharacteristic
828C2×C47#342811yescharacteristic
829C2×C47#350511yescharacteristic
830C2×C47#350511yescharacteristic
831C2×C47#350611yescharacteristic
832C2×C47#350611yescharacteristic
833D47—24no—
834D47—42no—
835D47—42no—
836C22×#41—471no—
837C24×C4—471no—
838#525—4716no—
839C2×#123—471no—
840C2×#123C2×D4711yescharacteristic
841C2×C22⋊Q8—471no—
842C2×C22⋊Q8—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120—471no—
847C2×C4×Q8—471no—
848C2×C4×Q8—471no—
849C2×C4×D4—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×#117—471no—
860C2×#117—471no—
861C2×#117—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C42—471no—
865C22×C42—471no—
866#391—471no—
867#391—471no—
868#390—471no—
869#390—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#390—471no—
877#390C2×D4711yescharacteristic
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388C2×D4711yescharacteristic
903#388C2×D4711yescharacteristic
904#388C2×D4711yescharacteristic, complemented
905#388C2×D4711yescharacteristic, complemented
906#387—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387C2×D4711yescharacteristic, complemented
913#387C2×D4711yescharacteristic, complemented
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386C2×D4711yescharacteristic
926#385—471no—
927#385—471no—
928#385—471no—
929#385—471no—
930#383—471no—
931#383—471no—
932#382—471no—
933#382—471no—
934#381—471no—
935#381—471no—
936#381—471no—
937#381—471no—
938#380—471no—
939#380—471no—
940#380—471no—
941#380—471no—
942#380—471no—
943#380—471no—
944#379—471no—
945#379—471no—
946C4×C4⋊C4—471no—
947C4×C4⋊C4—471no—
948C4×C4⋊C4—471no—
949C4×C4⋊C4—471no—
950C4×C4⋊C4—471no—
951C4×C4⋊C4—471no—
952C4×C4⋊C4—471no—
953C4×C4⋊C4—471no—
954C4×C4⋊C4—471no—
955C4×C4⋊C4—471no—
956C4×C4⋊C4—471no—
957C4×C4⋊C4—471no—
958C4×C4⋊C4C2×D4711yescharacteristic, complemented
959C4×C4⋊C4C2×D4711yescharacteristic, complemented
960C4×C22⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4—471no—
968C4×C22⋊C4—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4—471no—
971C4×C22⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4C2×D4711yescharacteristic
983C4×C22⋊C4C2×D4711yescharacteristic
984C4×C22⋊C4C2×D4711yescharacteristic, complemented
985C4×C22⋊C4C2×D4711yescharacteristic, complemented
986#376—471no—
987#376—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95—471no—
991C2×#95—471no—
992C47#3422311yescharacteristic, complemented, Sylow
993C25—471no—
994C2×#41—478no—
995C2×#41—1882no—
996C2×#41—1882no—
997C22×Q8—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4C22×D4711yescharacteristic
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—478no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—1882no—
1021C23×C4—1882no—
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024#123—478no—
1025#123C4×D4718yescomplemented
1026C22⋊Q8—478no—
1027C22⋊Q8—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×Q8—1882no—
1034C4×D4—478no—
1035C4×D4—478no—
1036C4×D4—478no—
1037C4×D4—478no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—944no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044#117—478no—
1045#117—1882no—
1046#117—1882no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
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—944no—
1102C2×C22⋊C4—944no—
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4C22×D4711yescharacteristic
1108C2×C22⋊C4C22×D4711yescharacteristic
1109C2×C22⋊C4C22×D4711yescharacteristic
1110C2×C22⋊C4C22×D4711yescharacteristic
1111C2×C22⋊C4C22×D4711yescharacteristic
1112C2×C22⋊C4C22×D4711yescharacteristic
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42—471no—
1116C2×C42—471no—
1117C2×C42—471no—
1118C2×C42—471no—
1119C2×C42—471no—
1120C2×C42—471no—
1121C2×C42—471no—
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—1882no—
1133C2×C42—1882no—
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140C2×C42C22×D4711yescharacteristic
1141#95—471no—
1142#95—471no—
1143#95—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#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181C24—471no—
1182C24—471no—
1183C24—471no—
1184C24—474no—
1185C24—942no—
1186C24—942no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24—1881no—
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193#41—18816no—
1194C2×Q8—474no—
1195C2×Q8—942no—
1196C2×Q8—942no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—474no—
1203C2×D4—474no—
1204C2×D4—474no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C2×D4—1881no—
1217C2×D4C2×C4×D4714yes—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—471no—
1224C22×C4—474no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—474no—
1232C22×C4—474no—
1233C22×C4—474no—
1234C22×C4—474no—
1235C22×C4—474no—
1236C22×C4—474no—
1237C22×C4—474no—
1238C22×C4—474no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—18816no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4C2×C4×D4714yes—
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4C2×C4×D4714yes—
1314C4⋊C4C2×C4×D4714yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—474no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4C2×C4×D4714yes—
1355C22⋊C4C2×C4×D4714yes—
1356C22⋊C4C2×C4×D4714yes—
1357C42—22no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—474no—
1365C42—474no—
1366C42—942no—
1367C42—942no—
1368C42—942no—
1369C42—942no—
1370C42—942no—
1371C42—942no—
1372C42—942no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—472no—
1396C23—472no—
1397C23—472no—
1398C23—472no—
1399C23—472no—
1400C23—948no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—1884no—
1418C23—1884no—
1419C23—1884no—
1420C23—1884no—
1421C23—1884no—
1422C23—1884no—
1423C23C22×C4×D4712yes—
1424C23C22×C4×D4712yes—
1425C23C24×D4711yescharacteristic
1426Q8—948no—
1427D4—44no—
1428D4—948no—
1429D4—948no—
1430D4—948no—
1431D4—1884no—
1432D4—1884no—
1433D4—1884no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—82no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—472no—
1476C2×C4—472no—
1477C2×C4—948no—
1478C2×C4—948no—
1479C2×C4—948no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
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—3762no—
1511C2×C4—3762no—
1512C2×C4—3762no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4—1884no—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4C22×C4×D4712yes—
1526C2×C4#41×D4712yes—
1527C2×C4#41×D4712yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—474no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—18816no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22C23×C4×D4711yescharacteristic
1565C22C2×#41×D4711yescharacteristic
1566C22C2×#41×D4711yescharacteristic
1567C22H(5,𝔽2)×D4711yescharacteristic
1568C22H(5,𝔽2)×D4711yescharacteristic
1569C22#1568995911yescharacteristic
1570C22#1568995911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—474no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—942no—
1589C4—942no—
1590C4—942no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C4—1881no—
1596C4—1881no—
1597C2—42no—
1598C2—42no—
1599C2—944no—
1600C2—1882no—
1601C2—1882no—
1602C2C4×#41×D4711yescharacteristic
1603C2#518×D4711yescharacteristic
1604C2#2025658711yescharacteristic
1605C2#2025721911yescharacteristic
1606C2#2025722111yescharacteristic
1607C2#2025723411yescharacteristic
1608C2#2025723611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2374C2
socle, cosocleC23×C47C25
prime radicalC2×#15689631C2
hypercenter#2374D47
hypocenterC47#34223
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #20246524C2semidirect
3. #20246519C2semidirect
4. #20246519C2semidirect
5. #20246427C2semidirect
6. #20246421C2semidirect
7. #20246416C2semidirect
8. #20246410C2semidirect
9. #20246358C2semidirect
10. #20246357C2semidirect
11. #20246327C2semidirect
12. #20246322C2semidirect
13. #20246278C2semidirect
14. #20246270C2semidirect
15. #20246227C2semidirect
16. #20246214C2semidirect
17. #20246050C2semidirect
18. #20246047C2semidirect
19. #20246044C2semidirect
20. #20246041C2semidirect
21. #20246020C2semidirect
22. #20246018C2semidirect
23. #20245922C2semidirect
24. C4×#13094002C2semidirect
25. #20245900C2semidirect
26. C4×#13093997C2semidirect
27. #20245769C2semidirect
28. #20245748C2semidirect
29. #20245747C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2374C2semidirect
34. #15689631C4semidirect
42. C2×C4×Dic94C22semidirect
43. C2×#13093989C22semidirect
49. C2×C4×C22⋊D47C22semidirect
53. C2×(C22⋊D47)⋊C4C22semidirect
61. #15689027C22semidirect
62. #15689027C22semidirect
70. #15689023C22semidirect
71. #15689023C22semidirect
72. #15689020C22semidirect
73. #15689020C22semidirect
74. #15689018C22semidirect
75. #15689018C22semidirect
80. #15689016C22semidirect
81. #15689016C22semidirect
86. #15689014C22semidirect
87. #15689014C22semidirect
92. #15689012C22semidirect
93. #15689012C22semidirect
96. #15689009C22semidirect
97. #15689009C22semidirect
98. #15689007C22semidirect
99. #15689007C22semidirect
100. #15689005C22semidirect
101. #15689005C22semidirect
117. #15688990C22semidirect
118. #15688990C22semidirect
119. #15688988C22semidirect
120. #15688987C22semidirect
123. #15688985C22semidirect
124. #15688984C22semidirect
129. #15688981C22semidirect
130. #15688980C22semidirect
133. C4⋊C4×Dic47C22semidirect
134. C4⋊C4×Dic47C22semidirect
135. C4⋊C4×Dic47C22semidirect
136. C4×Dic47⋊C4C22semidirect
137. C4×Dic47⋊C4C22semidirect
138. C4×Dic47⋊C4C22semidirect
139. C4×Dic47⋊C4C22semidirect
140. C4×Dic47⋊C4C22semidirect
141. #15688974C22semidirect
142. #15688974C22semidirect
143. #15688974C22semidirect
144. #15688974C22semidirect
147. C22⋊C4×Dic47C22semidirect
148. C22⋊C4×Dic47C22semidirect
149. C22⋊C4×Dic47C22semidirect
156. C4×(C2×D47)⋊C4C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
158. C4×(C2×D47)⋊C4C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688969C22semidirect
168. #15688968C22semidirect
169. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
191. C2×#10625352C2×C4semidirect
204. C22×C4×D47C2×C4semidirect
216. #13094007C2×C4semidirect
217. #13094002C2×C4semidirect
218. #13094002C2×C4semidirect
220. #13093997C2×C4semidirect
221. #13093994C2×C4semidirect
222. #13093992C2×C4semidirect
227. #13093986C2×C4semidirect
228. #13093986C2×C4semidirect
233. (C22⋊D47)⋊C4C2×C4semidirect
234. (C22⋊D47)⋊C4C2×C4semidirect
237. #13093980C2×C4semidirect
343. #123×C47C2×C4semidirect
483. C2×C4×D47#41semidirect
484. C2×C4×D47#41semidirect
797. #2374D47semidirect
904. #388C2×D47semidirect
905. #388C2×D47semidirect
912. #387C2×D47semidirect
913. #387C2×D47semidirect
958. C4×C4⋊C4C2×D47semidirect
959. C4×C4⋊C4C2×D47semidirect
984. C4×C22⋊C4C2×D47semidirect
985. C4×C22⋊C4C2×D47semidirect
992. C47#34223semidirect
1025. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896312
#202465242
#202465192
#202464272
#202464212
#202464162
#202464102
#202463582
#202463572
#202463272
#202463222
#202462782
#202462702
#202462272
#202462142
#202460502
#202460472
#202460442
#202460412
#202460202
#202460182
#202459222
C4×#130940022
#202459002
C4×#130939972
#202457692
#202457482
#202457472
C4×C22⋊C4×D472
C47×#23742
#3422347