Finite Group Databasebeta

← #26379003

Subgroups — #26379003

Order 12032.

4134 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D47C211yesmaximal, characteristic
2#20246528C211yesmaximal, characteristic, complemented
3#20246528C211yesmaximal, characteristic, complemented
4#20246526C211yesmaximal, characteristic, complemented
5#20246525C211yesmaximal, characteristic, complemented
6#20246370C211yesmaximal, characteristic, complemented
7#20246368C211yesmaximal, characteristic, complemented
8#20246365C211yesmaximal, characteristic, complemented
9#20246364C211yesmaximal, characteristic, complemented
10#20246236C211yesmaximal, characteristic, complemented
11#20246235C211yesmaximal, characteristic, complemented
12#20246232C211yesmaximal, characteristic, complemented
13#20246231C211yesmaximal, characteristic, complemented
14#20246209C211yesmaximal, characteristic, complemented
15#20246206C211yesmaximal, characteristic, complemented
16#20246206C211yesmaximal, characteristic, complemented
17D4×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
18#20246050C211yesmaximal, characteristic, complemented
19#20246049C211yesmaximal, characteristic, complemented
20#20246047C211yesmaximal, characteristic, complemented
21#20246046C211yesmaximal, characteristic, complemented
22#20246044C211yesmaximal, characteristic, complemented
23#20246043C211yesmaximal, characteristic, complemented
24#20246041C211yesmaximal, characteristic, complemented
25#20245982C211yesmaximal, characteristic, complemented
26#20245982C211yesmaximal, characteristic, complemented
27#20245967C211yesmaximal, characteristic, complemented
28#20245962C211yesmaximal, characteristic, complemented
29C2×#15688978C211yesmaximal, characteristic, complemented
30#379×D47C211yesmaximal, characteristic, complemented
31C47×#2321C211yesmaximal, characteristic, complemented
32C25×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C22×D4×D47C2211yescharacteristic
36C2×#13093994C2211yescharacteristic
37C2×#13093994C2211yescharacteristic
38C2×#13093994C2211yescharacteristic
39C2×#13093993C2211yescharacteristic
40C2×#13093992C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×#13093992C2211yescharacteristic
43#120×D47C4116yescomplemented
44C2×C4×D188C2211yescharacteristic, complemented
45C2×D4×Dic47C2211yescharacteristic, complemented
46C2×#13093986C2211yescharacteristic, complemented
47C2×C4×C22⋊D47C2211yescharacteristic, complemented
48C2×C4×C22⋊D47C2211yescharacteristic, complemented
49C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
51C2×#13093982C2211yescharacteristic, complemented
52C2×#13093981C2211yescharacteristic, complemented
53C22×C22⋊Dic47C2211yescharacteristic, complemented
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
57C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
58C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic, complemented
65C2×C22⋊C4×D47C2211yescharacteristic, complemented
66C2×C22⋊C4×D47C2211yescharacteristic, complemented
67C2×C22⋊C4×D47C2211yescharacteristic, complemented
68C2×C22⋊C4×D47C2211yescharacteristic, complemented
69#15689026C2211yescharacteristic, complemented
70#15689026C2211yescharacteristic, complemented
71#15689025C2211yescharacteristic, complemented
72#15689025C2211yescharacteristic, complemented
73#15689024C2211yescharacteristic, complemented
74#15689024C2211yescharacteristic, complemented
75#15689023C2211yescharacteristic, complemented
76#15689023C2211yescharacteristic, complemented
77#15689023C2211yescharacteristic, complemented
78#15689023C2211yescharacteristic, complemented
79#15689023C2211yescharacteristic, complemented
80#15689023C2211yescharacteristic, complemented
81#15689023C2211yescharacteristic, complemented
82#15689023C2211yescharacteristic, complemented
83#15689017C2211yescharacteristic, complemented
84#15689017C2211yescharacteristic, complemented
85#15689017C2211yescharacteristic, complemented
86#15689017C2211yescharacteristic, complemented
87#15689016C2211yescharacteristic, complemented
88#15689016C2211yescharacteristic, complemented
89#15689016C2211yescharacteristic, complemented
90#15689016C2211yescharacteristic, complemented
91#15689015C2211yescharacteristic, complemented
92#15689015C2211yescharacteristic, complemented
93#15689015C2211yescharacteristic, complemented
94#15689015C2211yescharacteristic, complemented
95#15689014C2211yescharacteristic, complemented
96#15689014C2211yescharacteristic, complemented
97#15689014C2211yescharacteristic, complemented
98#15689014C2211yescharacteristic, complemented
99#15689013C2211yescharacteristic, complemented
100#15689013C2211yescharacteristic, complemented
101#15689013C2211yescharacteristic, complemented
102#15689013C2211yescharacteristic, complemented
103#15689012C2211yescharacteristic, complemented
104#15689012C2211yescharacteristic, complemented
105#15689012C2211yescharacteristic, complemented
106#15689012C2211yescharacteristic, complemented
107#15689011C2211yescharacteristic, complemented
108#15689011C2211yescharacteristic, complemented
109#15689011C2211yescharacteristic, complemented
110#15689011C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic, complemented
112#15689003C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic, complemented
114#15689002C2211yescharacteristic, complemented
115#15689002C2211yescharacteristic, complemented
116#15689002C2211yescharacteristic, complemented
117#15689001C2211yescharacteristic, complemented
118#15689001C2211yescharacteristic, complemented
119#15689001C2211yescharacteristic, complemented
120#15689001C2211yescharacteristic, complemented
121#15689001C2211yescharacteristic, complemented
122#15689001C2211yescharacteristic, complemented
123#15689000C2211yescharacteristic, complemented
124#15689000C2211yescharacteristic, complemented
125#15689000C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688999C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688996C2211yescharacteristic, complemented
136#15688995C2211yescharacteristic, complemented
137#15688994C2211yescharacteristic, complemented
138#15688994C2211yescharacteristic, complemented
139#15688985C2211yescharacteristic, complemented
140#15688985C2211yescharacteristic, complemented
141#15688982C2211yescharacteristic, complemented
142#15688982C2211yescharacteristic, complemented
143#15688980C2211yescharacteristic, complemented
144#15688980C2211yescharacteristic, complemented
145#15688979C2211yescharacteristic, complemented
146#15688978C2211yescharacteristic
147#15688978C2211yescharacteristic
148#15688978C2211yescharacteristic
149#15688978C2211yescharacteristic
150#15688978C2211yescharacteristic
151#15688978C2211yescharacteristic
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154#15688978C2211yescharacteristic, complemented
155#15688978C2211yescharacteristic, complemented
156#15688978C2211yescharacteristic, complemented
157#15688978C2211yescharacteristic, complemented
158#15688978C2211yescharacteristic, complemented
159#15688978C2211yescharacteristic, complemented
160#15688978C2211yescharacteristic, complemented
161#15688978C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic, complemented
163C22⋊C4×Dic47C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#15688970C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic, complemented
175C22×C22⋊C4×C47C2211yescharacteristic, complemented
176C47×#390C2211yescharacteristic, complemented
177C47×#390C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#379C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47—42no—
189C24×D47—42no—
190C24×D47—42no—
191C24×D47—42no—
192C24×D47—42no—
193C24×D47—42no—
194C24×D47C2×C418yescomplemented
195C24×D47C2311yescharacteristic
196C24×D47C2311yescharacteristic
197C24×D47C2311yescharacteristic
198C24×D47C2311yescharacteristic
199C24×D47C2311yescharacteristic
200C24×D47C2311yescharacteristic
201C24×D47C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×D188C2311yescharacteristic
204C22×D188C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C2×D4×D47—42no—
212C2×D4×D47—42no—
213C2×D4×D47—42no—
214C2×D4×D47—42no—
215C2×D4×D47—42no—
216C2×D4×D47—42no—
217C2×D4×D47C2×C418yescomplemented
218C2×D4×D47C2×C418yescomplemented
219C2×D4×D47C2×C418yescomplemented
220C23×Dic47C2311yescharacteristic
221C23×Dic47C2311yescharacteristic
222C23×Dic47C2311yescharacteristic, complemented
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic, complemented
231C22×C4×D47C2311yescharacteristic, complemented
232#13093994C2×C418yescomplemented
233#13093994C2×C418yescomplemented
234#13093994C2×C418yescomplemented
235#13093993C2×C418yescomplemented
236#13093992C2×C418yescomplemented
237#13093992C2×C418yescomplemented
238#13093992C2×C418yescomplemented
239C4×D188—42no—
240D4×Dic47—42no—
241#13093986—42no—
242C4×C22⋊D47—42no—
243C4×C22⋊D47—42no—
244(C22⋊D47)⋊C4—42no—
245(C22⋊D47)⋊C4—42no—
246#13093982—42no—
247#13093981—42no—
248C2×C4⋊Dic47C2311yescharacteristic, complemented
249C2×C4⋊Dic47C2311yescharacteristic, complemented
250C2×C4⋊Dic47C2311yescharacteristic, complemented
251C2×Dic47⋊C4C2311yescharacteristic, complemented
252C2×Dic47⋊C4C2311yescharacteristic, complemented
253C2×Dic47⋊C4C2311yescharacteristic, complemented
254C2×Dic47⋊C4C2311yescharacteristic, complemented
255C2×Dic47⋊C4C2311yescharacteristic, complemented
256C2×Dic47⋊C4C2311yescharacteristic, complemented
257C2×C22⋊Dic47—42no—
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic, complemented
272C2×C22⋊Dic47C2311yescharacteristic, complemented
273C2×C22⋊Dic47C2311yescharacteristic, complemented
274C2×(C2×D47)⋊C4—42no—
275C2×(C2×D47)⋊C4—42no—
276C2×(C2×D47)⋊C4—42no—
277C2×(C2×D47)⋊C4—42no—
278C2×(C2×D47)⋊C4—42no—
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
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
314C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
315C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
316C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
317C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
318C2×(C2×D47)⋊C4C2311yescharacteristic, complemented
319C22⋊C4×D47—42no—
320C22⋊C4×D47—42no—
321C22⋊C4×D47—42no—
322C22⋊C4×D47—42no—
323C22⋊C4×D47—42no—
324C22⋊C4×D47—42no—
325C22⋊C4×D47—42no—
326C22⋊C4×D47C2×C418yescomplemented
327C22⋊C4×D47C2×C418yescomplemented
328C22⋊C4×D47C2×C418yescomplemented
329C2×C4×Dic47C2311yescharacteristic, complemented
330C2×C4×Dic47C2311yescharacteristic, complemented
331C2×C4×Dic47C2311yescharacteristic, complemented
332C2×C4×Dic47C2311yescharacteristic, complemented
333C2×C4×Dic47C2311yescharacteristic, complemented
334C2×C4×Dic47C2311yescharacteristic, complemented
335C2×C4×Dic47C2311yescharacteristic, complemented
336C2×C4×Dic47C2311yescharacteristic, complemented
337C2×C4×Dic47C2311yescharacteristic, complemented
338C47⋊#95C2311yescharacteristic, complemented
339C47⋊#95C2311yescharacteristic, complemented
340C47⋊#95C2311yescharacteristic, complemented
341C47⋊#95C2311yescharacteristic, complemented
342C47⋊#95C2311yescharacteristic, complemented
343C47⋊#95C2311yescharacteristic, complemented
344C47⋊#95C2311yescharacteristic, complemented
345C47⋊#95C2311yescharacteristic, complemented
346C47⋊#95C2311yescharacteristic, complemented
347C47⋊#95C2311yescharacteristic, complemented
348C47⋊#95C2311yescharacteristic, complemented
349C47⋊#95C2311yescharacteristic, complemented
350C47⋊#95C2311yescharacteristic, complemented
351C47⋊#95C2311yescharacteristic, complemented
352C47⋊#95C2311yescharacteristic, complemented
353C47⋊#95C2311yescharacteristic, complemented
354C47⋊#95C2311yescharacteristic, complemented
355C47⋊#95C2311yescharacteristic, complemented
356C25×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic, complemented
363#120×C47C2×C418yescomplemented
364C4×D4×C47—42no—
365C2×C4⋊C4×C47C2311yescharacteristic, complemented
366C2×C4⋊C4×C47C2311yescharacteristic, complemented
367C2×C4⋊C4×C47C2311yescharacteristic, complemented
368C2×C22⋊C4×C47—42no—
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic, complemented
383C2×C22⋊C4×C47C2311yescharacteristic, complemented
384C2×C22⋊C4×C47C2311yescharacteristic, complemented
385C2×C42×C47C2311yescharacteristic, complemented
386C2×C42×C47C2311yescharacteristic, complemented
387C2×C42×C47C2311yescharacteristic, complemented
388#95×C47C2311yescharacteristic, complemented
389#95×C47C2311yescharacteristic, complemented
390#95×C47C2311yescharacteristic, complemented
391#95×C47C2311yescharacteristic, complemented
392#95×C47C2311yescharacteristic, complemented
393#95×C47C2311yescharacteristic, complemented
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47—41no—
399C24×C47—41no—
400C24×C47C22×C414yes—
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C24×C47C2411yescharacteristic
404C24×C47C2411yescharacteristic
405C23×D47—22no—
406C23×D47—22no—
407C23×D47—22no—
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—22no—
413C23×D47—22no—
414C23×D47—22no—
415C23×D47—22no—
416C23×D47—22no—
417C23×D47—22no—
418C23×D47—22no—
419C23×D47—22no—
420C23×D47—22no—
421C23×D47—22no—
422C23×D47—22no—
423C23×D47—416no—
424C23×D47—416no—
425C23×D47—416no—
426C23×D47—41no—
427C23×D47—41no—
428C23×D47—41no—
429C23×D47—41no—
430C23×D47—41no—
431C23×D47—41no—
432C23×D47—41no—
433C23×D47—41no—
434C23×D47—41no—
435C23×D47—41no—
436C23×D47—41no—
437C23×D47—41no—
438C23×D47—41no—
439C23×D47—41no—
440C23×D47—41no—
441C23×D47—41no—
442C23×D47—41no—
443C23×D47—41no—
444C23×D47—41no—
445C23×D47—41no—
446C23×D47—41no—
447C23×D47—41no—
448C23×D47—41no—
449C23×D47—41no—
450C23×D47—416no—
451C23×D47—416no—
452C23×D47—416no—
453C23×D47—416no—
454C23×D47C22×C414yes—
455C23×D47C22×C414yes—
456C23×D47C22×C414yes—
457C23×D47C22×C414yes—
458C23×D47C22×C414yes—
459C23×D47C22×C414yes—
460C23×D47C22×C414yes—
461C23×D47C2411yescharacteristic
462C23×D47C2411yescharacteristic
463C23×D47C2411yescharacteristic
464C23×D47C2411yescharacteristic
465C23×D47C2411yescharacteristic
466C2×D4×C47—22no—
467C2×D4×C47—22no—
468C2×D4×C47—41no—
469C2×D4×C47—41no—
470C2×D4×C47—41no—
471C2×D4×C47—41no—
472C2×D4×C47C22×C414yes—
473C2×D4×C47C22×C414yes—
474C2×D4×C47C22×C414yes—
475C22×C4×C47—22no—
476C22×C4×C47—22no—
477C22×C4×C47—41no—
478C22×C4×C47—41no—
479C22×C4×C47—41no—
480C22×C4×C47—41no—
481C22×C4×C47—41no—
482C22×C4×C47—41no—
483C22×C4×C47—41no—
484C22×C4×C47C2411yescharacteristic
485C22×C4×C47C2411yescharacteristic
486C22×C4×C47C2411yescharacteristic
487C22×C4×C47C2411yescharacteristic
488C22×C4×C47C2411yescharacteristic
489C22×C4×C47C2411yescharacteristic
490C22×C4×C47C2411yescharacteristic
491C22×C4×C47C2411yescharacteristic
492C22×C4×C47C2411yescharacteristic
493C22×C4×C47C2411yescharacteristic
494C22×C4×C47C2411yescharacteristic
495C2×C22⋊D47—22no—
496C2×C22⋊D47—22no—
497C2×C22⋊D47—22no—
498C2×C22⋊D47—22no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47—41no—
501C2×C22⋊D47—41no—
502C2×C22⋊D47—41no—
503C2×C22⋊D47—41no—
504C2×C22⋊D47—41no—
505C2×C22⋊D47—41no—
506C2×C22⋊D47—41no—
507C2×C22⋊D47C22×C414yes—
508C2×C22⋊D47C22×C414yes—
509C2×C22⋊D47C22×C414yes—
510C2×C22⋊D47C22×C414yes—
511C2×C22⋊D47C22×C414yes—
512C2×C22⋊D47C22×C414yes—
513C22×Dic47—22no—
514C22×Dic47—22no—
515C22×Dic47—41no—
516C22×Dic47—41no—
517C22×Dic47—41no—
518C22×Dic47—41no—
519C22×Dic47—41no—
520C22×Dic47—41no—
521C22×Dic47—41no—
522C22×Dic47C2411yescharacteristic
523C22×Dic47C2411yescharacteristic
524C22×Dic47C2411yescharacteristic
525C22×Dic47C2411yescharacteristic
526C22×Dic47C2411yescharacteristic
527C22×Dic47C2411yescharacteristic
528C22×Dic47C2411yescharacteristic
529C22×Dic47C2411yescharacteristic
530C22×Dic47C2411yescharacteristic
531C22×Dic47C2411yescharacteristic
532C22×Dic47C2411yescharacteristic
533D4×D47—416no—
534D4×D47—416no—
535D4×D47—416no—
536C2×D188—22no—
537C2×D188—22no—
538C2×D188—41no—
539C2×D188—41no—
540C2×D188—41no—
541C2×D188—41no—
542C2×D188C22×C414yes—
543C2×D188C22×C414yes—
544C2×D188C22×C414yes—
545C2×C4×D47—22no—
546C2×C4×D47—22no—
547C2×C4×D47—22no—
548C2×C4×D47—22no—
549C2×C4×D47—22no—
550C2×C4×D47—22no—
551C2×C4×D47—41no—
552C2×C4×D47—41no—
553C2×C4×D47—41no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—41no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47—41no—
561C2×C4×D47—41no—
562C2×C4×D47—41no—
563C2×C4×D47—41no—
564C2×C4×D47—41no—
565C2×C4×D47—41no—
566C2×C4×D47—41no—
567C2×C4×D47—41no—
568C2×C4×D47—41no—
569C2×C4×D47C22×C414yes—
570C2×C4×D47C22×C414yes—
571C2×C4×D47C22×C414yes—
572C4⋊C4×C47—41no—
573C4⋊C4×C47—41no—
574C4⋊C4×C47—41no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—22no—
577C22⋊C4×C47—41no—
578C22⋊C4×C47—41no—
579C22⋊C4×C47—41no—
580C22⋊C4×C47—41no—
581C22⋊C4×C47—41no—
582C22⋊C4×C47—41no—
583C22⋊C4×C47—41no—
584C22⋊C4×C47—41no—
585C22⋊C4×C47—41no—
586C22⋊C4×C47—41no—
587C22⋊C4×C47—41no—
588C22⋊C4×C47C22×C414yes—
589C22⋊C4×C47C22×C414yes—
590C22⋊C4×C47C22×C414yes—
591C42×C47—41no—
592C42×C47—41no—
593C42×C47—41no—
594C22⋊Dic47—22no—
595C22⋊Dic47—22no—
596C22⋊Dic47—41no—
597C22⋊Dic47—41no—
598C22⋊Dic47—41no—
599C22⋊Dic47—41no—
600C22⋊Dic47—41no—
601C22⋊Dic47—41no—
602C22⋊Dic47—41no—
603C22⋊Dic47—41no—
604C22⋊Dic47—41no—
605C22⋊Dic47—41no—
606C22⋊Dic47—41no—
607C22⋊Dic47C22×C414yes—
608C22⋊Dic47C22×C414yes—
609C22⋊Dic47C22×C414yes—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—22no—
614(C2×D47)⋊C4—22no—
615(C2×D47)⋊C4—22no—
616(C2×D47)⋊C4—22no—
617(C2×D47)⋊C4—22no—
618(C2×D47)⋊C4—22no—
619(C2×D47)⋊C4—22no—
620(C2×D47)⋊C4—22no—
621(C2×D47)⋊C4—22no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4—41no—
624(C2×D47)⋊C4—41no—
625(C2×D47)⋊C4—41no—
626(C2×D47)⋊C4—41no—
627(C2×D47)⋊C4—41no—
628(C2×D47)⋊C4—41no—
629(C2×D47)⋊C4—41no—
630(C2×D47)⋊C4—41no—
631(C2×D47)⋊C4—41no—
632(C2×D47)⋊C4—41no—
633(C2×D47)⋊C4—41no—
634(C2×D47)⋊C4—41no—
635(C2×D47)⋊C4—41no—
636(C2×D47)⋊C4—41no—
637(C2×D47)⋊C4—41no—
638(C2×D47)⋊C4—41no—
639(C2×D47)⋊C4—41no—
640(C2×D47)⋊C4—41no—
641(C2×D47)⋊C4—41no—
642(C2×D47)⋊C4—41no—
643(C2×D47)⋊C4—41no—
644(C2×D47)⋊C4C22×C414yes—
645(C2×D47)⋊C4C22×C414yes—
646(C2×D47)⋊C4C22×C414yes—
647(C2×D47)⋊C4C22×C414yes—
648(C2×D47)⋊C4C22×C414yes—
649(C2×D47)⋊C4C22×C414yes—
650C4⋊Dic47—41no—
651C4⋊Dic47—41no—
652C4⋊Dic47—41no—
653Dic47⋊C4—41no—
654Dic47⋊C4—41no—
655Dic47⋊C4—41no—
656Dic47⋊C4—41no—
657Dic47⋊C4—41no—
658Dic47⋊C4—41no—
659C4×Dic47—41no—
660C4×Dic47—41no—
661C4×Dic47—41no—
662C4×Dic47—41no—
663C4×Dic47—41no—
664C4×Dic47—41no—
665C4×Dic47—41no—
666C4×Dic47—41no—
667C4×Dic47—41no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—21no—
672C23×C47—28no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—21no—
677C23×C47—21no—
678C23×C47—21no—
679C23×C47—21no—
680C23×C47—21no—
681C23×C47—21no—
682C23×C47—21no—
683C23×C47—21no—
684C23×C47—21no—
685C23×C47—21no—
686C23×C47—21no—
687C23×C47—21no—
688C23×C47—21no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47—44no—
692C23×C47—44no—
693C23×C47—44no—
694C23×C47—44no—
695C23×C47—44no—
696C23×C47—44no—
697C23×C47C23×C412yes—
698C23×C47C23×C412yes—
699C23×C47C23×C412yes—
700C23×C47C23×C412yes—
701C23×C47H(5,𝔽2)12yes—
702C23×C47H(5,𝔽2)12yes—
703C23×C47C2511yescharacteristic
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—28no—
713C22×D47—28no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—21no—
718C22×D47—21no—
719C22×D47—21no—
720C22×D47—21no—
721C22×D47—21no—
722C22×D47—21no—
723C22×D47—21no—
724C22×D47—21no—
725C22×D47—21no—
726C22×D47—21no—
727C22×D47—21no—
728C22×D47—21no—
729C22×D47—21no—
730C22×D47—21no—
731C22×D47—21no—
732C22×D47—28no—
733C22×D47—28no—
734C22×D47—28no—
735C22×D47—28no—
736C22×D47—28no—
737C22×D47—28no—
738C22×D47—28no—
739C22×D47—44no—
740C22×D47—44no—
741C22×D47—44no—
742C22×D47—44no—
743C22×D47—44no—
744C22×D47—44no—
745C22×D47—44no—
746C22×D47—44no—
747C22×D47—44no—
748C22×D47—44no—
749C22×D47—44no—
750C22×D47—44no—
751C22×D47—44no—
752C22×D47—44no—
753C22×D47—44no—
754C22×D47—44no—
755C22×D47—44no—
756C22×D47—44no—
757C22×D47—44no—
758C22×D47—44no—
759C22×D47—44no—
760C22×D47—44no—
761C22×D47—44no—
762C22×D47—44no—
763C22×D47—44no—
764C22×D47—44no—
765C22×D47—44no—
766C22×D47—44no—
767C22×D47—44no—
768C22×D47—44no—
769C22×D47—44no—
770C22×D47—44no—
771C22×D47—4128no—
772C22×D47—44no—
773C22×D47—44no—
774C22×D47—44no—
775C22×D47—44no—
776C22×D47—82no—
777C22×D47—82no—
778C22×D47—82no—
779C22×D47—82no—
780C22×D47C23×C412yes—
781C22×D47C23×C412yes—
782C22×D47C23×C412yes—
783C22×D47C23×C412yes—
784C22×D47C23×C412yes—
785C22×D47H(5,𝔽2)12yes—
786C22×D47H(5,𝔽2)12yes—
787C22×D47H(5,𝔽2)12yes—
788C22×D47H(5,𝔽2)12yes—
789D4×C47—28no—
790D4×C47—44no—
791D4×C47—44no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—21no—
814C2×C4×C47—21no—
815C2×C4×C47—21no—
816C2×C4×C47—21no—
817C2×C4×C47—21no—
818C2×C4×C47—21no—
819C2×C4×C47—21no—
820C2×C4×C47—21no—
821C2×C4×C47—21no—
822C2×C4×C47—82no—
823C2×C4×C47—82no—
824C2×C4×C47—82no—
825C2×C4×C47C23×C412yes—
826C2×C4×C47C23×C412yes—
827C2×C4×C47C23×C412yes—
828C22⋊D47—28no—
829C22⋊D47—28no—
830C22⋊D47—44no—
831C22⋊D47—44no—
832C22⋊D47—44no—
833C22⋊D47—44no—
834C2×Dic47—21no—
835C2×Dic47—21no—
836C2×Dic47—21no—
837C2×Dic47—21no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—21no—
846C2×Dic47—21no—
847C2×Dic47—21no—
848C2×Dic47—21no—
849C2×Dic47—21no—
850C2×Dic47—21no—
851C2×Dic47—21no—
852C2×Dic47—21no—
853C2×Dic47—21no—
854C2×Dic47—21no—
855C2×Dic47—21no—
856C2×Dic47—21no—
857C2×Dic47—21no—
858C2×Dic47—21no—
859C2×Dic47—21no—
860C2×Dic47—21no—
861C2×Dic47—21no—
862C2×Dic47—21no—
863C2×Dic47—21no—
864C2×Dic47—82no—
865C2×Dic47—82no—
866C2×Dic47—82no—
867C2×Dic47C23×C412yes—
868C2×Dic47C23×C412yes—
869C2×Dic47C23×C412yes—
870D188—28no—
871D188—44no—
872D188—44no—
873C4×D47—28no—
874C4×D47—44no—
875C4×D47—44no—
876C4×D47—82no—
877C4×D47—82no—
878C4×D47—82no—
879C4×D47—82no—
880C4×D47—82no—
881C4×D47—82no—
882#34356—471nomaximal, Sylow
883C22×C47—22no—
884C22×C47—22no—
885C22×C47—22no—
886C22×C47—22no—
887C22×C47—22no—
888C22×C47—22no—
889C22×C47—22no—
890C22×C47—22no—
891C22×C47—22no—
892C22×C47—22no—
893C22×C47—22no—
894C22×C47—22no—
895C22×C47—22no—
896C22×C47—22no—
897C22×C47—22no—
898C22×C47—416no—
899C22×C47—41no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47#51814yes—
912C22×C47C24×C411yescharacteristic
913C22×C47C2×H(5,𝔽2)11yescharacteristic
914C22×C47C2×H(5,𝔽2)11yescharacteristic
915C22×C47C2×H(5,𝔽2)11yescharacteristic
916C22×C47C2×H(5,𝔽2)11yescharacteristic
917C22×C47C2×H(5,𝔽2)11yescharacteristic
918C22×C47C2×H(5,𝔽2)11yescharacteristic
919C2×D47—22no—
920C2×D47—22no—
921C2×D47—22no—
922C2×D47—22no—
923C2×D47—22no—
924C2×D47—22no—
925C2×D47—22no—
926C2×D47—22no—
927C2×D47—22no—
928C2×D47—22no—
929C2×D47—22no—
930C2×D47—22no—
931C2×D47—22no—
932C2×D47—22no—
933C2×D47—22no—
934C2×D47—22no—
935C2×D47—22no—
936C2×D47—22no—
937C2×D47—22no—
938C2×D47—22no—
939C2×D47—22no—
940C2×D47—416no—
941C2×D47—416no—
942C2×D47—416no—
943C2×D47—416no—
944C2×D47—416no—
945C2×D47—416no—
946C2×D47—41no—
947C2×D47—41no—
948C2×D47—41no—
949C2×D47—41no—
950C2×D47—41no—
951C2×D47—41no—
952C2×D47—41no—
953C2×D47—41no—
954C2×D47—41no—
955C2×D47—41no—
956C2×D47—41no—
957C2×D47—41no—
958C2×D47—88no—
959C2×D47#51814yes—
960C2×D47#51814yes—
961C4×C47—22no—
962C4×C47—22no—
963C4×C47—22no—
964C4×C47—41no—
965C4×C47—41no—
966C4×C47—41no—
967C4×C47—41no—
968C4×C47—41no—
969C4×C47—41no—
970C4×C47—41no—
971C4×C47—41no—
972Dic47—22no—
973Dic47—22no—
974Dic47—22no—
975Dic47—41no—
976Dic47—41no—
977Dic47—41no—
978Dic47—41no—
979Dic47—41no—
980Dic47—41no—
981Dic47—41no—
982Dic47—41no—
983C22×#120—471no—
984#2375—471no—
985#2375—471no—
986#2375—471no—
987#2375—471no—
988#2358—471no—
989#2358—471no—
990#2358—471no—
991#2358—471no—
992#2342—471no—
993#2342—471no—
994#2342—471no—
995#2342—471no—
996D4×C22⋊C4—471no—
997D4×C22⋊C4—471no—
998D4×C22⋊C4—471no—
999D4×C22⋊C4—471no—
1000#2321—471no—
1001#2321—471no—
1002#2321—471no—
1003#2321—471no—
1004#2321—471no—
1005#2321—471no—
1006#2321—471no—
1007#2321D4711yescharacteristic, complemented
1008#2312—471no—
1009#2312—471no—
1010#2309—471no—
1011#2308—471no—
1012C2×#379—471no—
1013C2×#379—471no—
1014C2×C47—24no—
1015C2×C47—42no—
1016C2×C47—42no—
1017C2×C47—42no—
1018C2×C47C2×#51811yescharacteristic
1019C2×C47C2×#51811yescharacteristic
1020C2×C47C2×#51811yescharacteristic
1021C2×C47#353211yescharacteristic
1022C2×C47#353211yescharacteristic
1023C2×C47#353211yescharacteristic
1024C2×C47#353211yescharacteristic
1025D47—24no—
1026D47—24no—
1027D47—42no—
1028D47—42no—
1029D47—42no—
1030C26—471no—
1031C23×D4—471no—
1032C23×D4—471no—
1033C23×D4—471no—
1034C2×#120—471no—
1035C2×#120—471no—
1036C2×#120—471no—
1037C2×#120—471no—
1038C2×#120—4716no—
1039C2×#120—471no—
1040C2×#120—471no—
1041C2×#120—471no—
1042C2×#120C2×D4711yescharacteristic
1043C2×C4×D4—471no—
1044C2×C4×D4—471no—
1045C2×C4×D4—471no—
1046C2×C4×D4—471no—
1047C2×C4×D4—471no—
1048C2×C4×D4—471no—
1049C2×C4×D4—471no—
1050C2×C4×D4C2×D4711yescharacteristic, complemented
1051C2×#117—471no—
1052C2×#117—471no—
1053C22×C22⋊C4—471no—
1054C22×C22⋊C4—471no—
1055C22×C22⋊C4—471no—
1056C22×C22⋊C4—471no—
1057C22×C22⋊C4—471no—
1058C22×C22⋊C4—471no—
1059C22×C22⋊C4—471no—
1060C22×C22⋊C4—471no—
1061C22×C22⋊C4—471no—
1062C22×C22⋊C4—471no—
1063C22×C22⋊C4—471no—
1064C22×C22⋊C4—471no—
1065C22×C22⋊C4—471no—
1066C22×C22⋊C4—471no—
1067C22×C22⋊C4—471no—
1068C22×C22⋊C4—471no—
1069C22×C22⋊C4C2×D4711yescharacteristic, complemented
1070#390—471no—
1071#390—471no—
1072#390—471no—
1073#390—471no—
1074#390—471no—
1075#390—471no—
1076#390—471no—
1077#390—471no—
1078#390—471no—
1079#390—471no—
1080#390—471no—
1081#390—471no—
1082#390—471no—
1083#390—471no—
1084#390C2×D4711yescharacteristic, complemented
1085#390C2×D4711yescharacteristic, complemented
1086#388—471no—
1087#388—471no—
1088#388—471no—
1089#388—471no—
1090#388—471no—
1091#388—471no—
1092#388—471no—
1093#388—471no—
1094#388—471no—
1095#388—471no—
1096#388—471no—
1097#388—471no—
1098#388—471no—
1099#388—471no—
1100#388—471no—
1101#388—471no—
1102#388—471no—
1103#388—471no—
1104#388—471no—
1105#388—471no—
1106#388—471no—
1107#388—471no—
1108#388—471no—
1109#388—471no—
1110#388—471no—
1111#388—471no—
1112#388—471no—
1113#388—471no—
1114#388C2×D4711yescharacteristic, complemented
1115#388C2×D4711yescharacteristic, complemented
1116#388C2×D4711yescharacteristic, complemented
1117#388C2×D4711yescharacteristic, complemented
1118#386—471no—
1119#386—471no—
1120#386—471no—
1121#386—471no—
1122#386—471no—
1123#386—471no—
1124#386—471no—
1125#386—471no—
1126#386—471no—
1127#386—471no—
1128#386—471no—
1129#386—471no—
1130#386—471no—
1131#386—471no—
1132#386—471no—
1133#386—471no—
1134#386—471no—
1135#386—471no—
1136#386—471no—
1137#386—471no—
1138#386—471no—
1139#386C2×D4711yescharacteristic, complemented
1140#386C2×D4711yescharacteristic, complemented
1141#386C2×D4711yescharacteristic, complemented
1142#385—471no—
1143#385—471no—
1144#385—471no—
1145#385—471no—
1146#385—471no—
1147#385—471no—
1148#385—471no—
1149#385C2×D4711yescharacteristic, complemented
1150#381—471no—
1151#381—471no—
1152#380—471no—
1153#380—471no—
1154#380—471no—
1155#380—471no—
1156#379—471no—
1157#379—471no—
1158#379—471no—
1159#379—471no—
1160#379—471no—
1161#379—471no—
1162#379—471no—
1163#379—471no—
1164#379—471no—
1165#379—471no—
1166#379—471no—
1167#379—471no—
1168#379—471no—
1169#379—471no—
1170#379—471no—
1171#379—471no—
1172#379—471no—
1173#379C2×D4711yescharacteristic, complemented
1174C4×C22⋊C4—471no—
1175C4×C22⋊C4—471no—
1176C4×C22⋊C4—471no—
1177C4×C22⋊C4—471no—
1178C4×C22⋊C4—471no—
1179C4×C22⋊C4—471no—
1180C4×C22⋊C4—471no—
1181C4×C22⋊C4—471no—
1182C4×C22⋊C4—471no—
1183C4×C22⋊C4—471no—
1184C4×C22⋊C4—471no—
1185C4×C22⋊C4C2×D4711yescharacteristic, complemented
1186C47#3435611yescharacteristic, complemented, Sylow
1187C25—471no—
1188C25—471no—
1189C25—471no—
1190C25—471no—
1191C25—471no—
1192C25—471no—
1193C25—478no—
1194C25—471no—
1195C25—1882no—
1196C25—1882no—
1197C25—1882no—
1198C25—1882no—
1199C25—1882no—
1200C25—1882no—
1201C25C22×D4711yescharacteristic
1202C22×D4—471no—
1203C22×D4—471no—
1204C22×D4—471no—
1205C22×D4—471no—
1206C22×D4—471no—
1207C22×D4—471no—
1208C22×D4—478no—
1209C22×D4—478no—
1210C22×D4—478no—
1211C22×D4—471no—
1212C22×D4—471no—
1213C22×D4—471no—
1214C22×D4—1882no—
1215C22×D4—1882no—
1216C22×D4—1882no—
1217C22×D4—1882no—
1218C22×D4—1882no—
1219C22×D4—1882no—
1220C22×D4C22×D4711yescharacteristic
1221C22×D4C22×D4711yescharacteristic
1222C22×D4C22×D4711yescharacteristic
1223C23×C4—471no—
1224C23×C4—471no—
1225C23×C4—471no—
1226C23×C4—471no—
1227C23×C4—471no—
1228C23×C4—471no—
1229C23×C4—471no—
1230C23×C4—471no—
1231C23×C4—471no—
1232C23×C4—471no—
1233C23×C4—471no—
1234C23×C4—471no—
1235C23×C4C22×D4711yescharacteristic
1236C23×C4C22×D4711yescharacteristic
1237C23×C4C22×D4711yescharacteristic, complemented
1238#120—478no—
1239#120—478no—
1240#120—478no—
1241#120—478no—
1242#120—478no—
1243#120—478no—
1244#120—478no—
1245#120C4×D4718yescomplemented
1246C4×D4—42no—
1247C4×D4—1882no—
1248C4×D4—1882no—
1249C4×D4—1882no—
1250C4×D4—1882no—
1251C4×D4—1882no—
1252C4×D4—1882no—
1253C4×D4—1882no—
1254#117—1882no—
1255#117—1882no—
1256C2×C4⋊C4—471no—
1257C2×C4⋊C4—471no—
1258C2×C4⋊C4—471no—
1259C2×C4⋊C4—471no—
1260C2×C4⋊C4—471no—
1261C2×C4⋊C4—471no—
1262C2×C4⋊C4—471no—
1263C2×C4⋊C4—471no—
1264C2×C4⋊C4—471no—
1265C2×C4⋊C4C22×D4711yescharacteristic, complemented
1266C2×C4⋊C4C22×D4711yescharacteristic, complemented
1267C2×C4⋊C4C22×D4711yescharacteristic, complemented
1268C2×C22⋊C4—42no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—478no—
1279C2×C22⋊C4—478no—
1280C2×C22⋊C4—478no—
1281C2×C22⋊C4—471no—
1282C2×C22⋊C4—471no—
1283C2×C22⋊C4—471no—
1284C2×C22⋊C4—471no—
1285C2×C22⋊C4—471no—
1286C2×C22⋊C4—471no—
1287C2×C22⋊C4—471no—
1288C2×C22⋊C4—471no—
1289C2×C22⋊C4—471no—
1290C2×C22⋊C4—471no—
1291C2×C22⋊C4—471no—
1292C2×C22⋊C4—471no—
1293C2×C22⋊C4—471no—
1294C2×C22⋊C4—471no—
1295C2×C22⋊C4—471no—
1296C2×C22⋊C4—471no—
1297C2×C22⋊C4—471no—
1298C2×C22⋊C4—471no—
1299C2×C22⋊C4—471no—
1300C2×C22⋊C4—471no—
1301C2×C22⋊C4—471no—
1302C2×C22⋊C4—471no—
1303C2×C22⋊C4—471no—
1304C2×C22⋊C4—471no—
1305C2×C22⋊C4—471no—
1306C2×C22⋊C4—471no—
1307C2×C22⋊C4—471no—
1308C2×C22⋊C4—471no—
1309C2×C22⋊C4—471no—
1310C2×C22⋊C4—471no—
1311C2×C22⋊C4—471no—
1312C2×C22⋊C4—471no—
1313C2×C22⋊C4—471no—
1314C2×C22⋊C4—471no—
1315C2×C22⋊C4—471no—
1316C2×C22⋊C4—471no—
1317C2×C22⋊C4—471no—
1318C2×C22⋊C4—471no—
1319C2×C22⋊C4—471no—
1320C2×C22⋊C4—471no—
1321C2×C22⋊C4—471no—
1322C2×C22⋊C4—471no—
1323C2×C22⋊C4—471no—
1324C2×C22⋊C4—471no—
1325C2×C22⋊C4—471no—
1326C2×C22⋊C4—471no—
1327C2×C22⋊C4—471no—
1328C2×C22⋊C4—1882no—
1329C2×C22⋊C4—1882no—
1330C2×C22⋊C4—1882no—
1331C2×C22⋊C4—1882no—
1332C2×C22⋊C4—1882no—
1333C2×C22⋊C4—1882no—
1334C2×C22⋊C4—1882no—
1335C2×C22⋊C4—1882no—
1336C2×C22⋊C4—1882no—
1337C2×C22⋊C4—1882no—
1338C2×C22⋊C4—1882no—
1339C2×C22⋊C4—1882no—
1340C2×C22⋊C4—1882no—
1341C2×C22⋊C4C22×D4711yescharacteristic
1342C2×C22⋊C4C22×D4711yescharacteristic
1343C2×C22⋊C4C22×D4711yescharacteristic
1344C2×C22⋊C4C22×D4711yescharacteristic
1345C2×C22⋊C4C22×D4711yescharacteristic
1346C2×C22⋊C4C22×D4711yescharacteristic
1347C2×C22⋊C4C22×D4711yescharacteristic
1348C2×C22⋊C4C22×D4711yescharacteristic
1349C2×C22⋊C4C22×D4711yescharacteristic
1350C2×C22⋊C4C22×D4711yescharacteristic
1351C2×C22⋊C4C22×D4711yescharacteristic
1352C2×C22⋊C4C22×D4711yescharacteristic
1353C2×C22⋊C4C22×D4711yescharacteristic
1354C2×C22⋊C4C22×D4711yescharacteristic, complemented
1355C2×C22⋊C4C22×D4711yescharacteristic, complemented
1356C2×C22⋊C4C22×D4711yescharacteristic, complemented
1357C2×C42—471no—
1358C2×C42—471no—
1359C2×C42—471no—
1360C2×C42—471no—
1361C2×C42—471no—
1362C2×C42—471no—
1363C2×C42—471no—
1364C2×C42—471no—
1365C2×C42—471no—
1366C2×C42C22×D4711yescharacteristic, complemented
1367C2×C42C22×D4711yescharacteristic, complemented
1368C2×C42C22×D4711yescharacteristic, complemented
1369#95—471no—
1370#95—471no—
1371#95—471no—
1372#95—471no—
1373#95—471no—
1374#95—471no—
1375#95—471no—
1376#95—471no—
1377#95—471no—
1378#95—471no—
1379#95—471no—
1380#95—471no—
1381#95—471no—
1382#95—471no—
1383#95—471no—
1384#95—471no—
1385#95—471no—
1386#95—471no—
1387#95C22×D4711yescharacteristic, complemented
1388#95C22×D4711yescharacteristic, complemented
1389#95C22×D4711yescharacteristic, complemented
1390#95C22×D4711yescharacteristic, complemented
1391#95C22×D4711yescharacteristic, complemented
1392#95C22×D4711yescharacteristic, complemented
1393C24—22no—
1394C24—22no—
1395C24—41no—
1396C24—41no—
1397C24—41no—
1398C24—41no—
1399C24—471no—
1400C24—471no—
1401C24—471no—
1402C24—471no—
1403C24—471no—
1404C24—474no—
1405C24—474no—
1406C24—474no—
1407C24—474no—
1408C24—474no—
1409C24—474no—
1410C24—474no—
1411C24—942no—
1412C24—942no—
1413C24—942no—
1414C24—942no—
1415C24—942no—
1416C24—942no—
1417C24—942no—
1418C24—942no—
1419C24—942no—
1420C24—942no—
1421C24—942no—
1422C24—942no—
1423C24—942no—
1424C24—942no—
1425C24—942no—
1426C24—942no—
1427C24—942no—
1428C24—942no—
1429C24—1881no—
1430C24—1881no—
1431C24—1881no—
1432C24—1881no—
1433C24—1881no—
1434C24—1881no—
1435C24—1881no—
1436C24—1881no—
1437C24—18816no—
1438C24—1881no—
1439C24—1881no—
1440C24—1881no—
1441C24—1881no—
1442C24—1881no—
1443C24—1881no—
1444C24—1881no—
1445C24—1881no—
1446C24—1881no—
1447C24—1881no—
1448C24—1881no—
1449C24—1881no—
1450C24—1881no—
1451C24—1881no—
1452C24—1881no—
1453C24—1881no—
1454C24—18816no—
1455C24—18816no—
1456C24—18816no—
1457C24—18816no—
1458C24—18816no—
1459C24—18816no—
1460C24C2×C4×D4714yes—
1461C24C23×D4711yescharacteristic
1462C24C23×D4711yescharacteristic
1463C24C23×D4711yescharacteristic
1464C24C23×D4711yescharacteristic
1465C2×D4—22no—
1466C2×D4—22no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—41no—
1470C2×D4—41no—
1471C2×D4—474no—
1472C2×D4—474no—
1473C2×D4—474no—
1474C2×D4—474no—
1475C2×D4—474no—
1476C2×D4—474no—
1477C2×D4—474no—
1478C2×D4—474no—
1479C2×D4—474no—
1480C2×D4—942no—
1481C2×D4—942no—
1482C2×D4—942no—
1483C2×D4—942no—
1484C2×D4—942no—
1485C2×D4—942no—
1486C2×D4—1881no—
1487C2×D4—1881no—
1488C2×D4—1881no—
1489C2×D4—1881no—
1490C2×D4—18816no—
1491C2×D4—1881no—
1492C2×D4—1881no—
1493C2×D4—1881no—
1494C2×D4—1881no—
1495C2×D4—1881no—
1496C2×D4—1881no—
1497C2×D4—1881no—
1498C2×D4—1881no—
1499C2×D4—18816no—
1500C2×D4—18816no—
1501C2×D4C2×C4×D4714yes—
1502C2×D4C2×C4×D4714yes—
1503C2×D4C2×C4×D4714yes—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—41no—
1513C22×C4—471no—
1514C22×C4—471no—
1515C22×C4—471no—
1516C22×C4—474no—
1517C22×C4—474no—
1518C22×C4—474no—
1519C22×C4—471no—
1520C22×C4—471no—
1521C22×C4—471no—
1522C22×C4—471no—
1523C22×C4—471no—
1524C22×C4—471no—
1525C22×C4—471no—
1526C22×C4—471no—
1527C22×C4—942no—
1528C22×C4—942no—
1529C22×C4—942no—
1530C22×C4—942no—
1531C22×C4—942no—
1532C22×C4—942no—
1533C22×C4—942no—
1534C22×C4—942no—
1535C22×C4—1881no—
1536C22×C4—1881no—
1537C22×C4—1881no—
1538C22×C4—1881no—
1539C22×C4—1881no—
1540C22×C4—1881no—
1541C22×C4—1881no—
1542C22×C4—1881no—
1543C22×C4—1881no—
1544C22×C4—1881no—
1545C22×C4—1881no—
1546C22×C4—1881no—
1547C22×C4—1881no—
1548C22×C4—1881no—
1549C22×C4—1881no—
1550C22×C4—1881no—
1551C22×C4—1881no—
1552C22×C4—1881no—
1553C22×C4—1881no—
1554C22×C4—1881no—
1555C22×C4—1881no—
1556C22×C4—1881no—
1557C22×C4—1881no—
1558C22×C4—1881no—
1559C22×C4—1881no—
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563C22×C4C23×D4711yescharacteristic
1564C22×C4C23×D4711yescharacteristic
1565C22×C4C23×D4711yescharacteristic
1566C22×C4C23×D4711yescharacteristic
1567C22×C4C23×D4711yescharacteristic
1568C22×C4C23×D4711yescharacteristic
1569C22×C4C23×D4711yescharacteristic
1570C22×C4C23×D4711yescharacteristic
1571C4⋊C4—41no—
1572C4⋊C4—41no—
1573C4⋊C4—41no—
1574C4⋊C4—1881no—
1575C4⋊C4—1881no—
1576C4⋊C4—1881no—
1577C4⋊C4—1881no—
1578C4⋊C4—1881no—
1579C4⋊C4—1881no—
1580C4⋊C4—1881no—
1581C4⋊C4—1881no—
1582C4⋊C4—1881no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—474no—
1597C22⋊C4—474no—
1598C22⋊C4—474no—
1599C22⋊C4—474no—
1600C22⋊C4—474no—
1601C22⋊C4—474no—
1602C22⋊C4—474no—
1603C22⋊C4—474no—
1604C22⋊C4—474no—
1605C22⋊C4—942no—
1606C22⋊C4—942no—
1607C22⋊C4—942no—
1608C22⋊C4—942no—
1609C22⋊C4—942no—
1610C22⋊C4—942no—
1611C22⋊C4—942no—
1612C22⋊C4—942no—
1613C22⋊C4—942no—
1614C22⋊C4—942no—
1615C22⋊C4—942no—
1616C22⋊C4—942no—
1617C22⋊C4—942no—
1618C22⋊C4—942no—
1619C22⋊C4—1881no—
1620C22⋊C4—1881no—
1621C22⋊C4—1881no—
1622C22⋊C4—1881no—
1623C22⋊C4—1881no—
1624C22⋊C4—1881no—
1625C22⋊C4—1881no—
1626C22⋊C4—1881no—
1627C22⋊C4—1881no—
1628C22⋊C4—1881no—
1629C22⋊C4—1881no—
1630C22⋊C4—1881no—
1631C22⋊C4—1881no—
1632C22⋊C4—1881no—
1633C22⋊C4—1881no—
1634C22⋊C4—1881no—
1635C22⋊C4—1881no—
1636C22⋊C4—1881no—
1637C22⋊C4—1881no—
1638C22⋊C4—1881no—
1639C22⋊C4—1881no—
1640C22⋊C4—1881no—
1641C22⋊C4—1881no—
1642C22⋊C4—1881no—
1643C22⋊C4—1881no—
1644C22⋊C4—1881no—
1645C22⋊C4—1881no—
1646C22⋊C4—1881no—
1647C22⋊C4—1881no—
1648C22⋊C4—1881no—
1649C22⋊C4—1881no—
1650C22⋊C4—1881no—
1651C22⋊C4—1881no—
1652C22⋊C4C2×C4×D4714yes—
1653C22⋊C4C2×C4×D4714yes—
1654C22⋊C4C2×C4×D4714yes—
1655C42—41no—
1656C42—41no—
1657C42—41no—
1658C42—1881no—
1659C42—1881no—
1660C42—1881no—
1661C42—1881no—
1662C42—1881no—
1663C42—1881no—
1664C42—1881no—
1665C42—1881no—
1666C42—1881no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—28no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—44no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—44no—
1695C23—44no—
1696C23—472no—
1697C23—472no—
1698C23—472no—
1699C23—472no—
1700C23—472no—
1701C23—472no—
1702C23—472no—
1703C23—472no—
1704C23—472no—
1705C23—948no—
1706C23—948no—
1707C23—948no—
1708C23—948no—
1709C23—948no—
1710C23—948no—
1711C23—948no—
1712C23—941no—
1713C23—941no—
1714C23—941no—
1715C23—941no—
1716C23—941no—
1717C23—941no—
1718C23—941no—
1719C23—941no—
1720C23—948no—
1721C23—948no—
1722C23—941no—
1723C23—941no—
1724C23—941no—
1725C23—941no—
1726C23—941no—
1727C23—941no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—941no—
1732C23—941no—
1733C23—941no—
1734C23—941no—
1735C23—941no—
1736C23—941no—
1737C23—941no—
1738C23—941no—
1739C23—941no—
1740C23—3762no—
1741C23—3762no—
1742C23—3762no—
1743C23—3762no—
1744C23—1884no—
1745C23—1884no—
1746C23—1884no—
1747C23—1884no—
1748C23—1884no—
1749C23—1884no—
1750C23—1884no—
1751C23—1884no—
1752C23—1884no—
1753C23—1884no—
1754C23—1884no—
1755C23—1884no—
1756C23—1884no—
1757C23—1884no—
1758C23—1884no—
1759C23—1884no—
1760C23—1884no—
1761C23—1884no—
1762C23—1884no—
1763C23—1884no—
1764C23—1884no—
1765C23—1884no—
1766C23—1884no—
1767C23—1884no—
1768C23—1884no—
1769C23—1884no—
1770C23—1884no—
1771C23—1884no—
1772C23—1884no—
1773C23—1884no—
1774C23—1884no—
1775C23—1884no—
1776C23—188128no—
1777C23—1884no—
1778C23—1884no—
1779C23—1884no—
1780C23—1884no—
1781C23C22×C4×D4712yes—
1782C23C22×C4×D4712yes—
1783C23C22×C4×D4712yes—
1784C23C22×C4×D4712yes—
1785C23#1309406912yes—
1786C23#1309407012yes—
1787C23C24×D4711yescharacteristic
1788D4—28no—
1789D4—44no—
1790D4—44no—
1791D4—948no—
1792D4—948no—
1793D4—948no—
1794D4—1884no—
1795D4—1884no—
1796D4—1884no—
1797D4—1884no—
1798D4—1884no—
1799D4—1884no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—82no—
1831C2×C4—82no—
1832C2×C4—82no—
1833C2×C4—472no—
1834C2×C4—472no—
1835C2×C4—472no—
1836C2×C4—948no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—941no—
1846C2×C4—941no—
1847C2×C4—941no—
1848C2×C4—941no—
1849C2×C4—941no—
1850C2×C4—941no—
1851C2×C4—941no—
1852C2×C4—941no—
1853C2×C4—941no—
1854C2×C4—941no—
1855C2×C4—941no—
1856C2×C4—941no—
1857C2×C4—941no—
1858C2×C4—941no—
1859C2×C4—941no—
1860C2×C4—941no—
1861C2×C4—941no—
1862C2×C4—941no—
1863C2×C4—941no—
1864C2×C4—941no—
1865C2×C4—941no—
1866C2×C4—941no—
1867C2×C4—3762no—
1868C2×C4—3762no—
1869C2×C4—3762no—
1870C2×C4—3762no—
1871C2×C4—3762no—
1872C2×C4—3762no—
1873C2×C4—3762no—
1874C2×C4—3762no—
1875C2×C4—3762no—
1876C2×C4—1884no—
1877C2×C4—1884no—
1878C2×C4C22×C4×D4712yes—
1879C2×C4C22×C4×D4712yes—
1880C2×C4C22×C4×D4712yes—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—416no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—474no—
1910C22—474no—
1911C22—942no—
1912C22—942no—
1913C22—942no—
1914C22—942no—
1915C22—942no—
1916C22—942no—
1917C22—942no—
1918C22—942no—
1919C22—942no—
1920C22—942no—
1921C22—942no—
1922C22—942no—
1923C22—942no—
1924C22—942no—
1925C22—942no—
1926C22—942no—
1927C22—942no—
1928C22—942no—
1929C22—942no—
1930C22—942no—
1931C22—942no—
1932C22—3768no—
1933C22—18816no—
1934C22—18816no—
1935C22—18816no—
1936C22—18816no—
1937C22—18816no—
1938C22—18816no—
1939C22—1881no—
1940C22—1881no—
1941C22—1881no—
1942C22—1881no—
1943C22—1881no—
1944C22—1881no—
1945C22—1881no—
1946C22—1881no—
1947C22—1881no—
1948C22—1881no—
1949C22—1881no—
1950C22—1881no—
1951C22#1568959514yes—
1952C22C23×C4×D4711yescharacteristic
1953C22H(5,𝔽2)×D4711yescharacteristic
1954C22H(5,𝔽2)×D4711yescharacteristic
1955C22H(5,𝔽2)×D4711yescharacteristic
1956C22H(5,𝔽2)×D4711yescharacteristic
1957C22C2×#1309406911yescharacteristic
1958C22C2×#1309407011yescharacteristic
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—942no—
1971C4—942no—
1972C4—942no—
1973C4—1881no—
1974C4—1881no—
1975C4—1881no—
1976C4—1881no—
1977C4—1881no—
1978C4—1881no—
1979C4—1881no—
1980C4—1881no—
1981C2—24no—
1982C2—42no—
1983C2—42no—
1984C2—42no—
1985C2—944no—
1986C2—944no—
1987C2—1882no—
1988C2—1882no—
1989C2—1882no—
1990C2#518×D4711yescharacteristic
1991C2#518×D4711yescharacteristic
1992C2C2×#1568959511yescharacteristic
1993C2#2025753911yescharacteristic
1994C2#2025753911yescharacteristic
1995C2#2025754011yescharacteristic
1996C2#2025754211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2321C2
socle, cosocleC23×C47C25
prime radicalC2×#120×D47C2
hypercenter#2321D47
hypocenterC47#34356
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #20246528C2semidirect
3. #20246528C2semidirect
4. #20246526C2semidirect
5. #20246525C2semidirect
6. #20246370C2semidirect
7. #20246368C2semidirect
8. #20246365C2semidirect
9. #20246364C2semidirect
10. #20246236C2semidirect
11. #20246235C2semidirect
12. #20246232C2semidirect
13. #20246231C2semidirect
14. #20246209C2semidirect
15. #20246206C2semidirect
16. #20246206C2semidirect
17. D4×(C2×D47)⋊C4C2semidirect
18. #20246050C2semidirect
19. #20246049C2semidirect
20. #20246047C2semidirect
21. #20246046C2semidirect
22. #20246044C2semidirect
23. #20246043C2semidirect
24. #20246041C2semidirect
25. #20245982C2semidirect
26. #20245982C2semidirect
27. #20245967C2semidirect
28. #20245962C2semidirect
29. C2×#15688978C2semidirect
30. #379×D47C2semidirect
31. C47×#2321C2semidirect
43. #120×D47C4semidirect
44. C2×C4×D188C22semidirect
45. C2×D4×Dic47C22semidirect
46. C2×#13093986C22semidirect
47. C2×C4×C22⋊D47C22semidirect
48. C2×C4×C22⋊D47C22semidirect
49. C2×(C22⋊D47)⋊C4C22semidirect
50. C2×(C22⋊D47)⋊C4C22semidirect
51. C2×#13093982C22semidirect
52. C2×#13093981C22semidirect
53. C22×C22⋊Dic47C22semidirect
56. C22×(C2×D47)⋊C4C22semidirect
57. C22×(C2×D47)⋊C4C22semidirect
58. C22×(C2×D47)⋊C4C22semidirect
64. C2×C22⋊C4×D47C22semidirect
65. C2×C22⋊C4×D47C22semidirect
66. C2×C22⋊C4×D47C22semidirect
67. C2×C22⋊C4×D47C22semidirect
68. C2×C22⋊C4×D47C22semidirect
69. #15689026C22semidirect
70. #15689026C22semidirect
71. #15689025C22semidirect
72. #15689025C22semidirect
73. #15689024C22semidirect
74. #15689024C22semidirect
75. #15689023C22semidirect
76. #15689023C22semidirect
77. #15689023C22semidirect
78. #15689023C22semidirect
79. #15689023C22semidirect
80. #15689023C22semidirect
81. #15689023C22semidirect
82. #15689023C22semidirect
83. #15689017C22semidirect
84. #15689017C22semidirect
85. #15689017C22semidirect
86. #15689017C22semidirect
87. #15689016C22semidirect
88. #15689016C22semidirect
89. #15689016C22semidirect
90. #15689016C22semidirect
91. #15689015C22semidirect
92. #15689015C22semidirect
93. #15689015C22semidirect
94. #15689015C22semidirect
95. #15689014C22semidirect
96. #15689014C22semidirect
97. #15689014C22semidirect
98. #15689014C22semidirect
99. #15689013C22semidirect
100. #15689013C22semidirect
101. #15689013C22semidirect
102. #15689013C22semidirect
103. #15689012C22semidirect
104. #15689012C22semidirect
105. #15689012C22semidirect
106. #15689012C22semidirect
107. #15689011C22semidirect
108. #15689011C22semidirect
109. #15689011C22semidirect
110. #15689011C22semidirect
111. #15689003C22semidirect
112. #15689003C22semidirect
113. #15689003C22semidirect
114. #15689002C22semidirect
115. #15689002C22semidirect
116. #15689002C22semidirect
117. #15689001C22semidirect
118. #15689001C22semidirect
119. #15689001C22semidirect
120. #15689001C22semidirect
121. #15689001C22semidirect
122. #15689001C22semidirect
123. #15689000C22semidirect
124. #15689000C22semidirect
125. #15689000C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
131. #15688999C22semidirect
132. #15688998C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688996C22semidirect
136. #15688995C22semidirect
137. #15688994C22semidirect
138. #15688994C22semidirect
139. #15688985C22semidirect
140. #15688985C22semidirect
141. #15688982C22semidirect
142. #15688982C22semidirect
143. #15688980C22semidirect
144. #15688980C22semidirect
145. #15688979C22semidirect
154. #15688978C22semidirect
155. #15688978C22semidirect
156. #15688978C22semidirect
157. #15688978C22semidirect
158. #15688978C22semidirect
159. #15688978C22semidirect
160. #15688978C22semidirect
161. #15688978C22semidirect
162. C22⋊C4×Dic47C22semidirect
163. C22⋊C4×Dic47C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×C22⋊Dic47C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #15688970C22semidirect
174. C2×C4×D4×C47C22semidirect
175. C22×C22⋊C4×C47C22semidirect
176. C47×#390C22semidirect
177. C47×#390C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C47×#385C22semidirect
186. C47×#379C22semidirect
187. C4×C22⋊C4×C47C22semidirect
194. C24×D47C2×C4semidirect
217. C2×D4×D47C2×C4semidirect
218. C2×D4×D47C2×C4semidirect
219. C2×D4×D47C2×C4semidirect
222. C23×Dic47C23semidirect
230. C22×C4×D47C23semidirect
231. C22×C4×D47C23semidirect
232. #13093994C2×C4semidirect
233. #13093994C2×C4semidirect
234. #13093994C2×C4semidirect
235. #13093993C2×C4semidirect
236. #13093992C2×C4semidirect
237. #13093992C2×C4semidirect
238. #13093992C2×C4semidirect
248. C2×C4⋊Dic47C23semidirect
249. C2×C4⋊Dic47C23semidirect
250. C2×C4⋊Dic47C23semidirect
251. C2×Dic47⋊C4C23semidirect
252. C2×Dic47⋊C4C23semidirect
253. C2×Dic47⋊C4C23semidirect
254. C2×Dic47⋊C4C23semidirect
255. C2×Dic47⋊C4C23semidirect
256. C2×Dic47⋊C4C23semidirect
271. C2×C22⋊Dic47C23semidirect
272. C2×C22⋊Dic47C23semidirect
273. C2×C22⋊Dic47C23semidirect
313. C2×(C2×D47)⋊C4C23semidirect
314. C2×(C2×D47)⋊C4C23semidirect
315. C2×(C2×D47)⋊C4C23semidirect
316. C2×(C2×D47)⋊C4C23semidirect
317. C2×(C2×D47)⋊C4C23semidirect
318. C2×(C2×D47)⋊C4C23semidirect
326. C22⋊C4×D47C2×C4semidirect
327. C22⋊C4×D47C2×C4semidirect
328. C22⋊C4×D47C2×C4semidirect
329. C2×C4×Dic47C23semidirect
330. C2×C4×Dic47C23semidirect
331. C2×C4×Dic47C23semidirect
332. C2×C4×Dic47C23semidirect
333. C2×C4×Dic47C23semidirect
334. C2×C4×Dic47C23semidirect
335. C2×C4×Dic47C23semidirect
336. C2×C4×Dic47C23semidirect
337. C2×C4×Dic47C23semidirect
338. C47⋊#95C23semidirect
339. C47⋊#95C23semidirect
340. C47⋊#95C23semidirect
341. C47⋊#95C23semidirect
342. C47⋊#95C23semidirect
343. C47⋊#95C23semidirect
344. C47⋊#95C23semidirect
345. C47⋊#95C23semidirect
346. C47⋊#95C23semidirect
347. C47⋊#95C23semidirect
348. C47⋊#95C23semidirect
349. C47⋊#95C23semidirect
350. C47⋊#95C23semidirect
351. C47⋊#95C23semidirect
352. C47⋊#95C23semidirect
353. C47⋊#95C23semidirect
354. C47⋊#95C23semidirect
355. C47⋊#95C23semidirect
362. C23×C4×C47C23semidirect
363. #120×C47C2×C4semidirect
365. C2×C4⋊C4×C47C23semidirect
366. C2×C4⋊C4×C47C23semidirect
367. C2×C4⋊C4×C47C23semidirect
382. C2×C22⋊C4×C47C23semidirect
383. C2×C22⋊C4×C47C23semidirect
384. C2×C22⋊C4×C47C23semidirect
385. C2×C42×C47C23semidirect
386. C2×C42×C47C23semidirect
387. C2×C42×C47C23semidirect
388. #95×C47C23semidirect
389. #95×C47C23semidirect
390. #95×C47C23semidirect
391. #95×C47C23semidirect
392. #95×C47C23semidirect
393. #95×C47C23semidirect
1007. #2321D47semidirect
1050. C2×C4×D4C2×D47semidirect
1069. C22×C22⋊C4C2×D47semidirect
1084. #390C2×D47semidirect
1085. #390C2×D47semidirect
1114. #388C2×D47semidirect
1115. #388C2×D47semidirect
1116. #388C2×D47semidirect
1117. #388C2×D47semidirect
1139. #386C2×D47semidirect
1140. #386C2×D47semidirect
1141. #386C2×D47semidirect
1149. #385C2×D47semidirect
1173. #379C2×D47semidirect
1185. C4×C22⋊C4C2×D47semidirect
1186. C47#34356semidirect
1237. C23×C4C22×D47semidirect
1245. #120C4×D47semidirect
1265. C2×C4⋊C4C22×D47semidirect
1266. C2×C4⋊C4C22×D47semidirect
1267. C2×C4⋊C4C22×D47semidirect
1354. C2×C22⋊C4C22×D47semidirect
1355. C2×C22⋊C4C22×D47semidirect
1356. C2×C22⋊C4C22×D47semidirect
1366. C2×C42C22×D47semidirect
1367. C2×C42C22×D47semidirect
1368. C2×C42C22×D47semidirect
1387. #95C22×D47semidirect
1388. #95C22×D47semidirect
1389. #95C22×D47semidirect
1390. #95C22×D47semidirect
1391. #95C22×D47semidirect
1392. #95C22×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D472
#202465282
#202465262
#202465252
#202463702
#202463682
#202463652
#202463642
#202462362
#202462352
#202462322
#202462312
#202462092
#202462062
D4×(C2×D47)⋊C42
#202460502
#202460492
#202460472
#202460462
#202460442
#202460432
#202460412
#202459822
#202459672
#202459622
C2×#156889782
#379×D472
C47×#23212
#3435647