Finite Group Databasebeta

← #26379808

Subgroups — #26379808

Order 12032.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689711C211yesmaximal, characteristic
2#20246575C211yesmaximal, characteristic, complemented
3#20246557C211yesmaximal, characteristic, complemented
4#20246541C211yesmaximal, characteristic, complemented
5#20246530C211yesmaximal, characteristic, complemented
6#20246515C211yesmaximal, characteristic, complemented
7#20246471C211yesmaximal, characteristic, complemented
8#20246462C211yesmaximal, characteristic, complemented
9#20246438C211yesmaximal, characteristic, complemented
10#20246402C211yesmaximal, characteristic, complemented
11#20246401C211yesmaximal, characteristic, complemented
12#20246391C211yesmaximal, characteristic, complemented
13#20246379C211yesmaximal, characteristic, complemented
14#20246330C211yesmaximal, characteristic, complemented
15#20246319C211yesmaximal, characteristic, complemented
16#20246292C211yesmaximal, characteristic, complemented
17#20246284C211yesmaximal, characteristic, complemented
18#20246195C211yesmaximal, characteristic, complemented
19#20246185C211yesmaximal, characteristic, complemented
20#20246170C211yesmaximal, characteristic, complemented
21#20246160C211yesmaximal, characteristic, complemented
22#20246097C211yesmaximal, characteristic, complemented
23#20246092C211yesmaximal, characteristic, complemented
24#20246076C211yesmaximal, characteristic, complemented
25#20246058C211yesmaximal, characteristic, complemented
26#20246043C211yesmaximal, characteristic, complemented
27#20246043C211yesmaximal, characteristic, complemented
28#20245887C211yesmaximal, characteristic, complemented
29#20245887C211yesmaximal, characteristic, complemented
30C2×#15688998C211yesmaximal, characteristic, complemented
31C47×#2312C211yesmaximal, characteristic, complemented
32C24×Dic47C2211yescharacteristic
33#15689711C4116yescomplemented
34C2×#13094017C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094006C2211yescharacteristic
40C2×#13094003C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093993C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic, complemented
47C2×C4×D188C2211yescharacteristic, complemented
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×#13093982C2211yescharacteristic, complemented
59C22×C4⋊Dic47C2211yescharacteristic
60C22×C4⋊Dic47C2211yescharacteristic
61C2×C4⋊C4×D47C2211yescharacteristic, complemented
62C22×C22⋊Dic47C2211yescharacteristic
63#15689029C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689025C2211yescharacteristic, complemented
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic
71#15689021C2211yescharacteristic, complemented
72#15689021C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689018C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic
80#15689017C2211yescharacteristic
81#15689017C2211yescharacteristic
82#15689017C2211yescharacteristic
83#15689015C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689015C2211yescharacteristic, complemented
86#15689015C2211yescharacteristic, complemented
87#15689014C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic, complemented
90#15689013C2211yescharacteristic, complemented
91#15689011C2211yescharacteristic
92#15689011C2211yescharacteristic
93#15689011C2211yescharacteristic
94#15689011C2211yescharacteristic
95#15689010C2211yescharacteristic, complemented
96#15689010C2211yescharacteristic, complemented
97#15689010C2211yescharacteristic, complemented
98#15689010C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689008C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689006C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689004C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689001C2211yescharacteristic, complemented
108#15689001C2211yescharacteristic, complemented
109#15689000C2211yescharacteristic
110#15689000C2211yescharacteristic
111#15689000C2211yescharacteristic
112#15689000C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic
115#15689000C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15688999C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688998C2211yescharacteristic
126#15688998C2211yescharacteristic
127#15688998C2211yescharacteristic
128#15688998C2211yescharacteristic
129#15688997C2211yescharacteristic, complemented
130#15688997C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic, complemented
133#15688995C2211yescharacteristic
134#15688995C2211yescharacteristic
135#15688995C2211yescharacteristic
136#15688995C2211yescharacteristic
137#15688995C2211yescharacteristic
138#15688995C2211yescharacteristic
139#15688995C2211yescharacteristic
140#15688995C2211yescharacteristic
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688992C2211yescharacteristic, complemented
144#15688990C2211yescharacteristic, complemented
145#15688988C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688985C2211yescharacteristic, complemented
148#15688982C2211yescharacteristic, complemented
149#15688980C2211yescharacteristic, complemented
150#15688980C2211yescharacteristic, complemented
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4×Dic47⋊C4C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic47C2211yescharacteristic, complemented
156C4×C4⋊Dic47C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688968C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#388C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#380C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47—42no—
197C23×Dic47—42no—
198C23×Dic47—42no—
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094017C2×C418yescomplemented
214#13094017C2×C418yescomplemented
215#13094010C2×C418yescomplemented
216#13094010C2×C418yescomplemented
217#13094006C2×C418yescomplemented
218#13094006C2×C418yescomplemented
219#13094003C2×C418yescomplemented
220#13093998C2×C418yescomplemented
221#13093997C2×C418yescomplemented
222#13093997C2×C418yescomplemented
223#13093993C2×C418yescomplemented
224#13093993C2×C418yescomplemented
225C4×Dic94—42no—
226C4×D188—42no—
227C4×C22⋊D47C2×C418yescomplemented
228C4×C22⋊D47C2×C418yescomplemented
229(C22⋊D47)⋊C4—42no—
230(C22⋊D47)⋊C4—42no—
231(C22⋊D47)⋊C4—42no—
232(C22⋊D47)⋊C4—42no—
233(C22⋊D47)⋊C4—42no—
234(C22⋊D47)⋊C4—42no—
235(C22⋊D47)⋊C4—42no—
236(C22⋊D47)⋊C4—42no—
237#13093982—42no—
238C2×C4⋊Dic47—42no—
239C2×C4⋊Dic47—42no—
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C4⋊C4×D47—42no—
267C2×C22⋊Dic47—42no—
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
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×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
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C25×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2×C418yescomplemented
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
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366C2×C42×C47C2311yescharacteristic
367C2×C42×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×C47—22no—
377C24×C47—22no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C22×C414yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47C22×C414yes—
393C22×C4×C47C22×C414yes—
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
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—
422C2×C22⋊D47C22×C414yes—
423C2×C22⋊D47C22×C414yes—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—416no—
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C2×D188—41no—
464C2×D188—41no—
465C2×D188C22×C414yescomplemented
466C2×C4×D47—22no—
467C2×C4×D47—22no—
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×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47C22×C414yescomplemented
483C2×C4×D47C22×C414yescomplemented
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47C22×C414yes—
504C22⋊C4×C47C22×C414yes—
505C22⋊C4×C47C22×C414yes—
506C22⋊C4×C47C22×C414yes—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C42×C47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47C22×C414yes—
516C22⋊Dic47C22×C414yes—
517C22⋊Dic47C22×C414yes—
518C22⋊Dic47C22×C414yes—
519C22⋊Dic47C22×C414yes—
520C22⋊Dic47C22×C414yes—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
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)⋊C4C22×C414yescomplemented
534(C2×D47)⋊C4C22×C414yescomplemented
535(C2×D47)⋊C4C22×C414yescomplemented
536(C2×D47)⋊C4C22×C414yescomplemented
537C4⋊Dic47—22no—
538C4⋊Dic47—22no—
539C4⋊Dic47—22no—
540C4⋊Dic47—22no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47C22×C414yescomplemented
546C4⋊Dic47C22×C414yescomplemented
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4C22×C414yescomplemented
560Dic47⋊C4C22×C414yescomplemented
561Dic47⋊C4C22×C414yescomplemented
562Dic47⋊C4C22×C414yescomplemented
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—41no—
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×Dic47C22×C414yescomplemented
576C4×Dic47C22×C414yescomplemented
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—28no—
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×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—44no—
595C23×C47—44no—
596C23×C47—44no—
597C23×C47—44no—
598C23×C47—44no—
599C23×C47—44no—
600C23×C47C23×C412yes—
601C23×C47C23×C412yes—
602C23×C47C23×C412yes—
603C23×C47H(5,𝔽2)12yes—
604C23×C472−1+412yes—
605C23×C47C2511yescharacteristic
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
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×D47C23×C412yes—
619C22×D47C23×C412yes—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
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—44no—
653C2×C4×C47—44no—
654C2×C4×C47C23×C412yes—
655C2×C4×C47C23×C412yes—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C22⋊D47—28no—
659C22⋊D47—28no—
660C22⋊D47—44no—
661C22⋊D47—44no—
662C22⋊D47—44no—
663C22⋊D47—44no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
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—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—44no—
699C2×Dic47—44no—
700C2×Dic47—44no—
701C2×Dic47—44no—
702C2×Dic47—44no—
703C2×Dic47—44no—
704C2×Dic47—82no—
705C2×Dic47—82no—
706C2×Dic47C23×C412yes—
707C2×Dic47C23×C412yes—
708C2×Dic47C23×C412yes—
709C2×Dic47C23×C412yes—
710C2×Dic47C23×C412yes—
711C2×Dic47C23×C412yes—
712C2×Dic47H(5,𝔽2)12yes—
713C2×Dic47H(5,𝔽2)12yes—
714D188—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721Dic94—44no—
722#34416—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—416no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47#52014yes—
745C22×C47C24×C411yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×2−1+411yescharacteristic
750C22×C47#58511yescharacteristic
751C22×C47#58511yescharacteristic
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—22no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792C2×#538—471no—
793#2383—471no—
794#2379—471no—
795#2377—471no—
796#2376—471no—
797#2373—471no—
798#2368—471no—
799#2367—471no—
800#2364—471no—
801#2361—471no—
802#2361—471no—
803#2360—471no—
804#2359—471no—
805#2353—471no—
806#2352—471no—
807#2349—471no—
808D4×C4⋊C4—471no—
809#2337—471no—
810#2335—471no—
811#2334—471no—
812#2334—471no—
813#2326—471no—
814#2325—471no—
815#2324—471no—
816#2322—471no—
817#2321—471no—
818#2321—471no—
819#2312D4711yescharacteristic, complemented
820C4×#120—471no—
821C4×#120—471no—
822C2×#385—471no—
823C2×C47—24no—
824C2×C47—42no—
825C2×C47—42no—
826C2×C47C2×#52011yescharacteristic
827C2×C47C4×H(5,𝔽2)11yescharacteristic
828C2×C47C4×H(5,𝔽2)11yescharacteristic
829C2×C47#353211yescharacteristic
830C2×C47#353311yescharacteristic
831C2×C47#354111yescharacteristic
832C2×C47#354111yescharacteristic
833D47—42no—
834D47—42no—
835C24×C4—471no—
836#538—4716no—
837C2×#126—471no—
838C2×#126—471no—
839C2×#124—471no—
840C2×#124—471no—
841C2×#123—471no—
842C2×#123—471no—
843C2×C22⋊Q8—471no—
844C2×#121—471no—
845C2×#121—471no—
846C2×#121—471no—
847C2×#120—471no—
848C2×#120—471no—
849C2×C4×Q8—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×C4×D4—471no—
860C2×C4×D4—471no—
861C2×#117—471no—
862C22×C4⋊C4—471no—
863C22×C4⋊C4—471no—
864C22×C4⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4C2×D4711yescharacteristic
867#391—471no—
868#391—471no—
869#391—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#389—471no—
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389—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#388C2×D4711yescharacteristic
900#388C2×D4711yescharacteristic
901#388C2×D4711yescharacteristic
902#388C2×D4711yescharacteristic
903#388C2×D4711yescharacteristic
904#388C2×D4711yescharacteristic
905#388C2×D4711yescharacteristic
906#388C2×D4711yescharacteristic
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#385—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385—471no—
955#384—471no—
956#383—471no—
957#382—471no—
958#382—471no—
959#381—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380C2×D4711yescharacteristic
964#380C2×D4711yescharacteristic
965#379C2×D4711yescharacteristic
966#379C2×D4711yescharacteristic
967C4×C4⋊C4—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊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⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4C2×D4711yescharacteristic
987#376—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95—471no—
991C47#3441611yescharacteristic, complemented, Sylow
992C25C22×D4711yescharacteristic
993C22×Q8—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—1882no—
1016C23×C4—1882no—
1017C23×C4—1882no—
1018C23×C4C22×D4711yescharacteristic
1019C23×C4C22×D4711yescharacteristic
1020#126—478no—
1021#126—478no—
1022#124—478no—
1023#124—478no—
1024#123—478no—
1025#123—478no—
1026C22⋊Q8—478no—
1027#121—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×D4—478no—
1034C4×D4—478no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040C4×D4—1882no—
1041C4×D4—1882no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044#117—1882no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
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⋊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—1882no—
1072C2×C4⋊C4—1882no—
1073C2×C4⋊C4—1882no—
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—1882no—
1105C2×C22⋊C4C4×D4718yescomplemented
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×C22⋊C4C22×D4711yescharacteristic
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
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—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140#95—471no—
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#95—471no—
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—471no—
1187C24—471no—
1188C24C2×C4×D4714yes—
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C2×Q8—474no—
1193C2×Q8—1881no—
1194C2×Q8—1881no—
1195C2×D4—474no—
1196C2×D4—474no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—474no—
1229C22×C4—474no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
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—1881no—
1275C22×C4—1881no—
1276C22×C4—18816no—
1277C22×C4C2×C4×D4714yes—
1278C22×C4C2×C4×D4714yes—
1279C22×C4C23×D4711yescharacteristic
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
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
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⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—474no—
1336C22⋊C4—474no—
1337C22⋊C4—474no—
1338C22⋊C4—474no—
1339C22⋊C4—474no—
1340C22⋊C4—474no—
1341C22⋊C4—474no—
1342C22⋊C4—474no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
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⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C22⋊C4C2×C4×D4714yes—
1362C22⋊C4C2×C4×D4714yes—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—474no—
1368C42—474no—
1369C42—942no—
1370C42—942no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—28no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—472no—
1405C23—472no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23C22×C4×D4712yes—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23#1309407012yes—
1422C23#1309407112yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
1425D4—948no—
1426D4—948no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430D4—1884no—
1431D4—1884no—
1432C2×C4—21no—
1433C2×C4—21no—
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—44no—
1465C2×C4—44no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
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—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—3762no—
1512C2×C4—3762no—
1513C2×C4—3762no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4—1884no—
1521C2×C4—1884no—
1522C2×C4C22×C4×D4712yes—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4C22×C4×D4712yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22#1568960314yes—
1562C22C23×C4×D4711yescharacteristic
1563C22H(5,𝔽2)×D4711yescharacteristic
1564C22H(5,𝔽2)×D4711yescharacteristic
1565C22C2×#1309407011yescharacteristic
1566C22C2×#1309407111yescharacteristic
1567C22#1568995811yescharacteristic
1568C22#1568995811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—942no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—1882no—
1599C2—1882no—
1600C2C2×#1568960311yescharacteristic
1601C2#2025659211yescharacteristic
1602C2#2025659211yescharacteristic
1603C2#2025753911yescharacteristic
1604C2#2025755611yescharacteristic
1605C2#2025766811yescharacteristic
1606C2#2025767611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2312C2
socle, cosocleC23×C47C25
prime radicalC2×#15689711C2
hypercenter#2312D47
hypocenterC47#34416
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
2. #20246575C2semidirect
3. #20246557C2semidirect
4. #20246541C2semidirect
5. #20246530C2semidirect
6. #20246515C2semidirect
7. #20246471C2semidirect
8. #20246462C2semidirect
9. #20246438C2semidirect
10. #20246402C2semidirect
11. #20246401C2semidirect
12. #20246391C2semidirect
13. #20246379C2semidirect
14. #20246330C2semidirect
15. #20246319C2semidirect
16. #20246292C2semidirect
17. #20246284C2semidirect
18. #20246195C2semidirect
19. #20246185C2semidirect
20. #20246170C2semidirect
21. #20246160C2semidirect
22. #20246097C2semidirect
23. #20246092C2semidirect
24. #20246076C2semidirect
25. #20246058C2semidirect
26. #20246043C2semidirect
27. #20246043C2semidirect
28. #20245887C2semidirect
29. #20245887C2semidirect
30. C2×#15688998C2semidirect
31. C47×#2312C2semidirect
33. #15689711C4semidirect
46. C2×C4×Dic94C22semidirect
47. C2×C4×D188C22semidirect
58. C2×#13093982C22semidirect
61. C2×C4⋊C4×D47C22semidirect
63. #15689029C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
66. #15689025C22semidirect
71. #15689021C22semidirect
72. #15689021C22semidirect
73. #15689020C22semidirect
74. #15689020C22semidirect
75. #15689020C22semidirect
76. #15689020C22semidirect
77. #15689018C22semidirect
78. #15689018C22semidirect
83. #15689015C22semidirect
84. #15689015C22semidirect
85. #15689015C22semidirect
86. #15689015C22semidirect
87. #15689014C22semidirect
88. #15689014C22semidirect
89. #15689013C22semidirect
90. #15689013C22semidirect
95. #15689010C22semidirect
96. #15689010C22semidirect
97. #15689010C22semidirect
98. #15689010C22semidirect
99. #15689008C22semidirect
100. #15689008C22semidirect
101. #15689007C22semidirect
102. #15689007C22semidirect
103. #15689006C22semidirect
104. #15689006C22semidirect
105. #15689004C22semidirect
106. #15689004C22semidirect
107. #15689001C22semidirect
108. #15689001C22semidirect
129. #15688997C22semidirect
130. #15688997C22semidirect
131. #15688997C22semidirect
132. #15688997C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688992C22semidirect
144. #15688990C22semidirect
145. #15688988C22semidirect
146. #15688987C22semidirect
147. #15688985C22semidirect
148. #15688982C22semidirect
149. #15688980C22semidirect
150. #15688980C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4×Dic47⋊C4C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×C4⋊Dic47C22semidirect
156. C4×C4⋊Dic47C22semidirect
157. #15688974C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. #15688970C22semidirect
169. #15688968C22semidirect
172. #95×D47C22semidirect
213. #13094017C2×C4semidirect
214. #13094017C2×C4semidirect
215. #13094010C2×C4semidirect
216. #13094010C2×C4semidirect
217. #13094006C2×C4semidirect
218. #13094006C2×C4semidirect
219. #13094003C2×C4semidirect
220. #13093998C2×C4semidirect
221. #13093997C2×C4semidirect
222. #13093997C2×C4semidirect
223. #13093993C2×C4semidirect
224. #13093993C2×C4semidirect
227. C4×C22⋊D47C2×C4semidirect
228. C4×C22⋊D47C2×C4semidirect
347. C2×C22⋊C4×C47C2×C4semidirect
465. C2×D188C22×C4semidirect
482. C2×C4×D47C22×C4semidirect
483. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
533. (C2×D47)⋊C4C22×C4semidirect
534. (C2×D47)⋊C4C22×C4semidirect
535. (C2×D47)⋊C4C22×C4semidirect
536. (C2×D47)⋊C4C22×C4semidirect
545. C4⋊Dic47C22×C4semidirect
546. C4⋊Dic47C22×C4semidirect
559. Dic47⋊C4C22×C4semidirect
560. Dic47⋊C4C22×C4semidirect
561. Dic47⋊C4C22×C4semidirect
562. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
819. #2312D47semidirect
991. C47#34416semidirect
1105. C2×C22⋊C4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897112
#202465752
#202465572
#202465412
#202465302
#202465152
#202464712
#202464622
#202464382
#202464022
#202464012
#202463912
#202463792
#202463302
#202463192
#202462922
#202462842
#202461952
#202461852
#202461702
#202461602
#202460972
#202460922
#202460762
#202460582
#202460432
#202458872
C2×#156889982
C47×#23122
#3441647