Finite Group Databasebeta

← #26379640

Subgroups — #26379640

Order 12032.

2874 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689689C211yesmaximal, characteristic
2#20246563C211yesmaximal, characteristic, complemented
3#20246557C211yesmaximal, characteristic, complemented
4#20246547C211yesmaximal, characteristic, complemented
5#20246543C211yesmaximal, characteristic, complemented
6#20246496C211yesmaximal, characteristic, complemented
7#20246449C211yesmaximal, characteristic, complemented
8#20246438C211yesmaximal, characteristic, complemented
9#20246434C211yesmaximal, characteristic, complemented
10#20246370C211yesmaximal, characteristic, complemented
11#20246369C211yesmaximal, characteristic, complemented
12#20246368C211yesmaximal, characteristic, complemented
13#20246366C211yesmaximal, characteristic, complemented
14#20246247C211yesmaximal, characteristic, complemented
15#20246243C211yesmaximal, characteristic, complemented
16#20246219C211yesmaximal, characteristic, complemented
17#20246212C211yesmaximal, characteristic, complemented
18#20246196C211yesmaximal, characteristic, complemented
19#20246195C211yesmaximal, characteristic, complemented
20#20246149C211yesmaximal, characteristic, complemented
21#20246112C211yesmaximal, characteristic, complemented
22#20246109C211yesmaximal, characteristic, complemented
23#20246093C211yesmaximal, characteristic, complemented
24#20246090C211yesmaximal, characteristic, complemented
25#20246050C211yesmaximal, characteristic, complemented
26#20246047C211yesmaximal, characteristic, complemented
27#20245962C211yesmaximal, characteristic, complemented
28#20245893C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2333C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689689C4116yescomplemented
36C2×#13094020C2211yescharacteristic
37C2×#13094020C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093995C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4×D188C2211yescharacteristic, complemented
50C2×D4×Dic47C2211yescharacteristic, complemented
51C2×D4×Dic47C2211yescharacteristic, complemented
52C2×#13093986C2211yescharacteristic, complemented
53C2×C4×C22⋊D47C2211yescharacteristic, complemented
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
57C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
59C2×#13093982C2211yescharacteristic
60C22×(C2×D47)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65#15689029C2211yescharacteristic, complemented
66#15689029C2211yescharacteristic, complemented
67#15689027C2211yescharacteristic, complemented
68#15689027C2211yescharacteristic, complemented
69#15689025C2211yescharacteristic, complemented
70#15689024C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic, complemented
72#15689023C2211yescharacteristic, complemented
73#15689023C2211yescharacteristic, complemented
74#15689023C2211yescharacteristic, complemented
75#15689017C2211yescharacteristic, complemented
76#15689017C2211yescharacteristic, complemented
77#15689016C2211yescharacteristic, complemented
78#15689016C2211yescharacteristic, complemented
79#15689015C2211yescharacteristic, complemented
80#15689015C2211yescharacteristic, complemented
81#15689015C2211yescharacteristic, complemented
82#15689014C2211yescharacteristic, complemented
83#15689014C2211yescharacteristic, complemented
84#15689014C2211yescharacteristic, complemented
85#15689013C2211yescharacteristic, complemented
86#15689012C2211yescharacteristic, complemented
87#15689011C2211yescharacteristic, complemented
88#15689011C2211yescharacteristic, complemented
89#15689009C2211yescharacteristic, complemented
90#15689009C2211yescharacteristic, complemented
91#15689008C2211yescharacteristic, complemented
92#15689008C2211yescharacteristic, complemented
93#15689006C2211yescharacteristic, complemented
94#15689006C2211yescharacteristic, complemented
95#15689003C2211yescharacteristic
96#15689003C2211yescharacteristic
97#15689003C2211yescharacteristic, complemented
98#15689003C2211yescharacteristic, complemented
99#15689002C2211yescharacteristic
100#15689002C2211yescharacteristic
101#15689002C2211yescharacteristic, complemented
102#15689001C2211yescharacteristic
103#15689001C2211yescharacteristic
104#15689001C2211yescharacteristic
105#15689001C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689001C2211yescharacteristic, complemented
109#15689001C2211yescharacteristic, complemented
110#15689001C2211yescharacteristic, complemented
111#15689001C2211yescharacteristic, complemented
112#15689000C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic, complemented
115#15689000C2211yescharacteristic, complemented
116#15689000C2211yescharacteristic, complemented
117#15689000C2211yescharacteristic, complemented
118#15689000C2211yescharacteristic, complemented
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic, complemented
138#15688996C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic, complemented
143#15688990C2211yescharacteristic, complemented
144#15688990C2211yescharacteristic, complemented
145#15688988C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688985C2211yescharacteristic
148#15688985C2211yescharacteristic
149#15688985C2211yescharacteristic, complemented
150#15688983C2211yescharacteristic, complemented
151#15688982C2211yescharacteristic, complemented
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688969C2211yescharacteristic, complemented
168#15688968C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×#121×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic, complemented
175C47×#390C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625350—42no—
191C2×#10625350—42no—
192C2×#10625350C2×C418yescomplemented
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C2×D4×D47C2×C418yescomplemented
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C22×C4×D47—42no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094020C2×C418yescomplemented
229#13094020C2×C418yescomplemented
230#13094010C2×C418yescomplemented
231#13094010C2×C418yescomplemented
232#13093999C2×C418yescomplemented
233#13093998C2×C418yescomplemented
234#13093995C2×C418yescomplemented
235#13093994C2×C418yescomplemented
236#13093994C2×C418yescomplemented
237#13093992C2×C418yescomplemented
238#13093992C2×C418yescomplemented
239C4×D188—42no—
240C4×D188—42no—
241C4×D188—42no—
242D4×Dic47—42no—
243D4×Dic47—42no—
244#13093986—42no—
245C4×C22⋊D47—42no—
246(C22⋊D47)⋊C4—42no—
247(C22⋊D47)⋊C4—42no—
248(C22⋊D47)⋊C4—42no—
249(C22⋊D47)⋊C4—42no—
250(C22⋊D47)⋊C4—42no—
251#13093982C2×C418yescomplemented
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×(C2×D47)⋊C4—42no—
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C22⋊C4×D47—42no—
303C22⋊C4×D47—42no—
304C22⋊C4×D47—42no—
305C22⋊C4×D47—42no—
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#121×C47C2×C418yescomplemented
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371C2×C42×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47C22×C414yes—
398C23×D47C22×C414yes—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47C22×C414yes—
410C2×D4×C47C22×C414yes—
411C2×D4×C47C22×C414yescomplemented
412C22×C4×C47—22no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47C22×C414yescomplemented
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47C22×C414yes—
450C2×C22⋊D47C22×C414yes—
451C2×C22⋊D47C22×C414yes—
452C2×C22⋊D47C22×C414yes—
453C2×C22⋊D47C22×C414yes—
454C2×C22⋊D47C22×C414yescomplemented
455C2×C22⋊D47C22×C414yescomplemented
456C2×C22⋊D47C22×C414yescomplemented
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47—41no—
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481D4×D47—416no—
482#10625350—416no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—41no—
486C2×D188—41no—
487C2×D188—41no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×D188C22×C414yes—
492C2×D188C22×C414yes—
493C2×D188C22×C414yes—
494C2×D188C22×C414yescomplemented
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—416no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47C22×C414yes—
531C2×C4×D47C22×C414yescomplemented
532C2×Dic94—41no—
533C2×Dic94—41no—
534C2×Dic94C22×C414yescomplemented
535C4⋊C4×C47—41no—
536C4⋊C4×C47—41no—
537C4⋊C4×C47C22×C414yescomplemented
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47C22×C414yes—
549C22⋊C4×C47C22×C414yescomplemented
550C42×C47—41no—
551C42×C47—41no—
552C42×C47—41no—
553C42×C47—41no—
554C22⋊Dic47—22no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47C22×C414yes—
563C22⋊Dic47C22×C414yescomplemented
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4C22×C414yes—
587(C2×D47)⋊C4C22×C414yes—
588(C2×D47)⋊C4C22×C414yes—
589(C2×D47)⋊C4C22×C414yes—
590(C2×D47)⋊C4C22×C414yescomplemented
591(C2×D47)⋊C4C22×C414yescomplemented
592C4⋊Dic47—22no—
593C4⋊Dic47—41no—
594C4⋊Dic47—41no—
595C4⋊Dic47—41no—
596C4⋊Dic47C22×C414yescomplemented
597Dic47⋊C4—22no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C22×C414yescomplemented
612C4×Dic47C22×C414yescomplemented
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47C23×C412yes—
632C23×C47C23×C412yes—
633C23×C47C23×C412yes—
634C23×C47C2511yescharacteristic
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—28no—
658C22×D47—28no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47—44no—
666C22×D47—44no—
667C22×D47—82no—
668C22×D47—82no—
669C22×D47—82no—
670C22×D47—82no—
671C22×D47C23×C412yes—
672C22×D47C23×C412yes—
673C22×D47C23×C412yes—
674C22×D47C23×C412yes—
675C22×D47H(5,𝔽2)12yes—
676C22×D47H(5,𝔽2)12yes—
677D4×C47—44no—
678D4×C47—44no—
679D4×C47—44no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—44no—
712C2×C4×C47—44no—
713C2×C4×C47—82no—
714C2×C4×C47C23×C412yes—
715C2×C4×C47C23×C412yes—
716C2×C4×C47C23×C412yes—
717C2×C4×C47C23×C412yes—
718C2×C4×C47H(5,𝔽2)12yes—
719C22⋊D47—28no—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—44no—
723C22⋊D47—44no—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—44no—
759C2×Dic47—82no—
760C2×Dic47—82no—
761C2×Dic47—82no—
762C2×Dic47C23×C412yes—
763C2×Dic47C23×C412yes—
764C2×Dic47C23×C412yes—
765C2×Dic47C23×C412yes—
766C2×Dic47H(5,𝔽2)12yes—
767D188—28no—
768D188—44no—
769D188—44no—
770D188—44no—
771C4×D47—28no—
772C4×D47—44no—
773C4×D47—44no—
774C4×D47—44no—
775C4×D47—44no—
776C4×D47—44no—
777C4×D47—82no—
778C4×D47—82no—
779C4×D47—82no—
780C4×D47—82no—
781C4×D47—82no—
782C4×D47—82no—
783Dic94—44no—
784#34406—471nomaximal, Sylow
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47C24×C411yescharacteristic
807C22×C47C2×H(5,𝔽2)11yescharacteristic
808C22×C47C2×H(5,𝔽2)11yescharacteristic
809C22×C47C2×H(5,𝔽2)11yescharacteristic
810C22×C47C2×H(5,𝔽2)11yescharacteristic
811C22×C47#58511yescharacteristic
812C22×C47#58511yescharacteristic
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—22no—
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—416no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—88no—
842C2×D47#51814yes—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—22no—
847C4×C47—22no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855Dic47—22no—
856Dic47—22no—
857Dic47—22no—
858Dic47—22no—
859Dic47—22no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867C2×#535—471no—
868#2380—471no—
869#2379—471no—
870#2377—471no—
871#2377—471no—
872#2372—471no—
873#2366—471no—
874#2364—471no—
875#2364—471no—
876#2358—471no—
877#2358—471no—
878#2358—471no—
879#2358—471no—
880#2343—471no—
881#2343—471no—
882#2339—471no—
883#2339—471no—
884#2337—471no—
885#2337—471no—
886#2333—471no—
887#2333D4711yescharacteristic, complemented
888#2328—471no—
889#2328—471no—
890#2325—471no—
891#2325—471no—
892#2321—471no—
893#2321—471no—
894#2308—471no—
895C4×#120—471no—
896C4×#120—471no—
897C2×#386—471no—
898C2×C47—42no—
899C2×C47—42no—
900C2×C47—42no—
901C2×C47C2×#51811yescharacteristic
902C2×C47C4×H(5,𝔽2)11yescharacteristic
903C2×C47C4×H(5,𝔽2)11yescharacteristic
904C2×C47#353211yescharacteristic
905C2×C47#353311yescharacteristic
906C2×C47#354211yescharacteristic
907C2×C47#354211yescharacteristic
908D47—24no—
909D47—42no—
910D47—42no—
911D47—42no—
912C22×#41—471no—
913C23×D4—471no—
914C24×C4—471no—
915#535—4716no—
916C2×#127—471no—
917C2×#127—471no—
918C2×#124—471no—
919C2×#124—471no—
920C2×#121—471no—
921C2×#121—471no—
922C2×#121—471no—
923C2×#121C2×D4711yescharacteristic
924C2×#120—471no—
925C2×#120—471no—
926C2×#120—471no—
927C2×#120—471no—
928C2×C4×D4—471no—
929C2×C4×D4—471no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4—471no—
934C2×C4×D4—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937C2×C4×D4—471no—
938C2×C4×D4—471no—
939C2×C4×D4—471no—
940C2×#117—471no—
941C22×C22⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4—471no—
946#391—471no—
947#391—471no—
948#391—471no—
949#391—471no—
950#390—471no—
951#390—471no—
952#390—471no—
953#390—471no—
954#390—471no—
955#390—471no—
956#390C2×D4711yescharacteristic, complemented
957#390C2×D4711yescharacteristic, complemented
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388C2×D4711yescharacteristic, complemented
973#388C2×D4711yescharacteristic, complemented
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387C2×D4711yescharacteristic, complemented
981#387C2×D4711yescharacteristic, complemented
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#386—471no—
1009#386—471no—
1010#386—471no—
1011#386—471no—
1012#386—471no—
1013#386—471no—
1014#386—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386C2×D4711yescharacteristic
1019#386C2×D4711yescharacteristic
1020#386C2×D4711yescharacteristic, complemented
1021#386C2×D4711yescharacteristic, complemented
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#385—471no—
1031#385—471no—
1032#385—471no—
1033#385—471no—
1034#383—471no—
1035#383—471no—
1036#382—471no—
1037#382—471no—
1038#381—471no—
1039#381—471no—
1040#381—471no—
1041#381C2×D4711yescharacteristic, complemented
1042#380—471no—
1043#380—471no—
1044#379—471no—
1045#379—471no—
1046C4×C4⋊C4—471no—
1047C4×C4⋊C4—471no—
1048C4×C22⋊C4—471no—
1049C4×C22⋊C4—471no—
1050C4×C22⋊C4—471no—
1051C4×C22⋊C4—471no—
1052C4×C22⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4C2×D4711yescharacteristic, complemented
1060C4×C22⋊C4C2×D4711yescharacteristic, complemented
1061C4×C22⋊C4C2×D4711yescharacteristic, complemented
1062#376—471no—
1063#376—471no—
1064C2×#95—471no—
1065C2×#95—471no—
1066C2×#95—471no—
1067C2×#95—471no—
1068C47#3440611yescharacteristic, complemented, Sylow
1069C25—471no—
1070C25—471no—
1071C2×#41—478no—
1072C2×#41—1882no—
1073C2×#41—1882no—
1074C22×Q8—471no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—478no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—1882no—
1089C22×D4—1882no—
1090C22×D4C22×D4711yescharacteristic
1091C22×D4C22×D4711yescharacteristic
1092C22×D4C22×D4711yescharacteristic
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—471no—
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—1882no—
1110C23×C4—1882no—
1111C23×C4—1882no—
1112C23×C4C22×D4711yescharacteristic
1113C23×C4C22×D4711yescharacteristic
1114C23×C4C22×D4711yescharacteristic
1115#127—478no—
1116#127—478no—
1117#124—478no—
1118#124—478no—
1119#121—478no—
1120#121—478no—
1121#121—478no—
1122#121C4×D4718yescomplemented
1123#120—478no—
1124#120—478no—
1125#120—478no—
1126#120—478no—
1127C4×D4—1882no—
1128C4×D4—1882no—
1129C4×D4—1882no—
1130C4×D4—1882no—
1131C4×D4—1882no—
1132C4×D4—1882no—
1133C4×D4—1882no—
1134C4×D4—1882no—
1135C4×D4—1882no—
1136C4×D4—1882no—
1137C4×D4—1882no—
1138C4×D4—1882no—
1139#117—478no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—1882no—
1193C2×C22⋊C4—1882no—
1194C2×C22⋊C4—1882no—
1195C2×C22⋊C4—1882no—
1196C2×C22⋊C4—1882no—
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—471no—
1217C2×C42—471no—
1218C2×C42—471no—
1219C2×C42C22×D4711yescharacteristic
1220C2×C42C22×D4711yescharacteristic
1221C2×C42C22×D4711yescharacteristic
1222C2×C42C22×D4711yescharacteristic
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95C22×D4711yescharacteristic
1254#95C22×D4711yescharacteristic
1255#95C22×D4711yescharacteristic
1256#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—471no—
1264C24—471no—
1265C24—471no—
1266C24—471no—
1267C24—474no—
1268C24—474no—
1269C24—942no—
1270C24—942no—
1271C24—942no—
1272C24—942no—
1273C24—1881no—
1274C24—1881no—
1275C24—1881no—
1276C24—1881no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24—1881no—
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284#41—18816no—
1285C2×Q8—474no—
1286C2×Q8—1881no—
1287C2×Q8—1881no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—474no—
1295C2×D4—474no—
1296C2×D4—474no—
1297C2×D4—474no—
1298C2×D4—474no—
1299C2×D4—474no—
1300C2×D4—474no—
1301C2×D4—474no—
1302C2×D4—474no—
1303C2×D4—474no—
1304C2×D4—474no—
1305C2×D4—474no—
1306C2×D4—942no—
1307C2×D4—942no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—1881no—
1311C2×D4—1881no—
1312C2×D4—1881no—
1313C2×D4—1881no—
1314C2×D4—1881no—
1315C2×D4—1881no—
1316C2×D4—18816no—
1317C2×D4—1881no—
1318C2×D4—1881no—
1319C2×D4—1881no—
1320C2×D4—1881no—
1321C2×D4—1881no—
1322C2×D4—1881no—
1323C2×D4—1881no—
1324C2×D4—1881no—
1325C2×D4—1881no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4C2×C4×D4714yes—
1332C2×D4C2×C4×D4714yes—
1333C2×D4C2×C4×D4714yescomplemented
1334C22×C4—22no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—471no—
1343C22×C4—471no—
1344C22×C4—471no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—474no—
1348C22×C4—474no—
1349C22×C4—471no—
1350C22×C4—471no—
1351C22×C4—471no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—942no—
1365C22×C4—942no—
1366C22×C4—942no—
1367C22×C4—942no—
1368C22×C4—942no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—1881no—
1374C22×C4—1881no—
1375C22×C4—1881no—
1376C22×C4—1881no—
1377C22×C4—1881no—
1378C22×C4—1881no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—18816no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4—1881no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4—1881no—
1402C22×C4—1881no—
1403C22×C4C2×C4×D4714yescomplemented
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C22×C4C23×D4711yescharacteristic
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—474no—
1419C4⋊C4—942no—
1420C4⋊C4—942no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4C2×C4×D4714yescomplemented
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—474no—
1441C22⋊C4—474no—
1442C22⋊C4—474no—
1443C22⋊C4—474no—
1444C22⋊C4—474no—
1445C22⋊C4—474no—
1446C22⋊C4—474no—
1447C22⋊C4—474no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4C2×C4×D4714yes—
1479C22⋊C4C2×C4×D4714yescomplemented
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—474no—
1485C42—474no—
1486C42—942no—
1487C42—942no—
1488C42—1881no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C42—1881no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—472no—
1513C23—472no—
1514C23—472no—
1515C23—472no—
1516C23—472no—
1517C23—472no—
1518C23—948no—
1519C23—948no—
1520C23—941no—
1521C23—941no—
1522C23—941no—
1523C23—941no—
1524C23—941no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—3762no—
1543C23—3762no—
1544C23—3762no—
1545C23—3762no—
1546C23—1884no—
1547C23—1884no—
1548C23—1884no—
1549C23—1884no—
1550C23—1884no—
1551C23—1884no—
1552C23—1884no—
1553C23—1884no—
1554C23C22×C4×D4712yes—
1555C23C22×C4×D4712yes—
1556C23C22×C4×D4712yes—
1557C23C24×D4711yescharacteristic
1558Q8—1884no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—948no—
1563D4—948no—
1564D4—1884no—
1565D4—1884no—
1566D4—1884no—
1567D4—1884no—
1568D4—1884no—
1569D4—1884no—
1570D4—1884no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—82no—
1608C2×C4—472no—
1609C2×C4—472no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—948no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—3762no—
1646C2×C4—3762no—
1647C2×C4—3762no—
1648C2×C4—3762no—
1649C2×C4—3762no—
1650C2×C4—3762no—
1651C2×C4—3762no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4C22×C4×D4712yes—
1661C2×C4C22×C4×D4712yes—
1662C2×C4C22×C4×D4712yes—
1663C2×C4C22×C4×D4712yes—
1664C2×C4#1309407012yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—474no—
1687C22—942no—
1688C22—942no—
1689C22—942no—
1690C22—942no—
1691C22—942no—
1692C22—942no—
1693C22—942no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—942no—
1698C22—942no—
1699C22—942no—
1700C22—942no—
1701C22—942no—
1702C22—3768no—
1703C22—18816no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22C23×C4×D4711yescharacteristic
1717C22H(5,𝔽2)×D4711yescharacteristic
1718C22H(5,𝔽2)×D4711yescharacteristic
1719C22H(5,𝔽2)×D4711yescharacteristic
1720C22C2×#1309407011yescharacteristic
1721C22#1568995811yescharacteristic
1722C22#1568995911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—942no—
1736C4—942no—
1737C4—942no—
1738C4—942no—
1739C4—942no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—944no—
1751C2—1882no—
1752C2—1882no—
1753C2—1882no—
1754C2#518×D4711yescharacteristic
1755C2#2025659211yescharacteristic
1756C2C4×#1309407011yescharacteristic
1757C2#2025753911yescharacteristic
1758C2#2025755511yescharacteristic
1759C2#2025769511yescharacteristic
1760C2#2025771011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2333C2
socle, cosocleC23×C47C25
prime radicalC2×#15689689C2
hypercenter#2333D47
hypocenterC47#34406
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #20246563C2semidirect
3. #20246557C2semidirect
4. #20246547C2semidirect
5. #20246543C2semidirect
6. #20246496C2semidirect
7. #20246449C2semidirect
8. #20246438C2semidirect
9. #20246434C2semidirect
10. #20246370C2semidirect
11. #20246369C2semidirect
12. #20246368C2semidirect
13. #20246366C2semidirect
14. #20246247C2semidirect
15. #20246243C2semidirect
16. #20246219C2semidirect
17. #20246212C2semidirect
18. #20246196C2semidirect
19. #20246195C2semidirect
20. #20246149C2semidirect
21. #20246112C2semidirect
22. #20246109C2semidirect
23. #20246093C2semidirect
24. #20246090C2semidirect
25. #20246050C2semidirect
26. #20246047C2semidirect
27. #20245962C2semidirect
28. #20245893C2semidirect
29. C4×#13093994C2semidirect
30. #386×D47C2semidirect
31. C47×#2333C2semidirect
35. #15689689C4semidirect
49. C2×C4×D188C22semidirect
50. C2×D4×Dic47C22semidirect
51. C2×D4×Dic47C22semidirect
52. C2×#13093986C22semidirect
53. C2×C4×C22⋊D47C22semidirect
56. C2×(C22⋊D47)⋊C4C22semidirect
57. C2×(C22⋊D47)⋊C4C22semidirect
58. C2×(C22⋊D47)⋊C4C22semidirect
65. #15689029C22semidirect
66. #15689029C22semidirect
67. #15689027C22semidirect
68. #15689027C22semidirect
69. #15689025C22semidirect
70. #15689024C22semidirect
71. #15689023C22semidirect
72. #15689023C22semidirect
73. #15689023C22semidirect
74. #15689023C22semidirect
75. #15689017C22semidirect
76. #15689017C22semidirect
77. #15689016C22semidirect
78. #15689016C22semidirect
79. #15689015C22semidirect
80. #15689015C22semidirect
81. #15689015C22semidirect
82. #15689014C22semidirect
83. #15689014C22semidirect
84. #15689014C22semidirect
85. #15689013C22semidirect
86. #15689012C22semidirect
87. #15689011C22semidirect
88. #15689011C22semidirect
89. #15689009C22semidirect
90. #15689009C22semidirect
91. #15689008C22semidirect
92. #15689008C22semidirect
93. #15689006C22semidirect
94. #15689006C22semidirect
97. #15689003C22semidirect
98. #15689003C22semidirect
101. #15689002C22semidirect
108. #15689001C22semidirect
109. #15689001C22semidirect
110. #15689001C22semidirect
111. #15689001C22semidirect
114. #15689000C22semidirect
115. #15689000C22semidirect
116. #15689000C22semidirect
117. #15689000C22semidirect
118. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
131. #15688998C22semidirect
132. #15688998C22semidirect
135. #15688997C22semidirect
136. #15688997C22semidirect
137. #15688997C22semidirect
138. #15688996C22semidirect
139. #15688995C22semidirect
142. #15688994C22semidirect
143. #15688990C22semidirect
144. #15688990C22semidirect
145. #15688988C22semidirect
146. #15688987C22semidirect
149. #15688985C22semidirect
150. #15688983C22semidirect
151. #15688982C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C22⋊C4×Dic47C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
162. C4×C22⋊Dic47C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688969C22semidirect
168. #15688968C22semidirect
169. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
174. C47×#390C22semidirect
175. C47×#390C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#381C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
192. C2×#10625350C2×C4semidirect
208. C2×D4×D47C2×C4semidirect
228. #13094020C2×C4semidirect
229. #13094020C2×C4semidirect
230. #13094010C2×C4semidirect
231. #13094010C2×C4semidirect
232. #13093999C2×C4semidirect
233. #13093998C2×C4semidirect
234. #13093995C2×C4semidirect
235. #13093994C2×C4semidirect
236. #13093994C2×C4semidirect
237. #13093992C2×C4semidirect
238. #13093992C2×C4semidirect
251. #13093982C2×C4semidirect
352. #121×C47C2×C4semidirect
411. C2×D4×C47C22×C4semidirect
420. C22×C4×C47C22×C4semidirect
454. C2×C22⋊D47C22×C4semidirect
455. C2×C22⋊D47C22×C4semidirect
456. C2×C22⋊D47C22×C4semidirect
494. C2×D188C22×C4semidirect
531. C2×C4×D47C22×C4semidirect
534. C2×Dic94C22×C4semidirect
537. C4⋊C4×C47C22×C4semidirect
549. C22⋊C4×C47C22×C4semidirect
563. C22⋊Dic47C22×C4semidirect
590. (C2×D47)⋊C4C22×C4semidirect
591. (C2×D47)⋊C4C22×C4semidirect
596. C4⋊Dic47C22×C4semidirect
611. C4×Dic47C22×C4semidirect
612. C4×Dic47C22×C4semidirect
887. #2333D47semidirect
956. #390C2×D47semidirect
957. #390C2×D47semidirect
972. #388C2×D47semidirect
973. #388C2×D47semidirect
980. #387C2×D47semidirect
981. #387C2×D47semidirect
1020. #386C2×D47semidirect
1021. #386C2×D47semidirect
1041. #381C2×D47semidirect
1059. C4×C22⋊C4C2×D47semidirect
1060. C4×C22⋊C4C2×D47semidirect
1061. C4×C22⋊C4C2×D47semidirect
1068. C47#34406semidirect
1122. #121C4×D47semidirect
1333. C2×D4C2×C4×D47semidirect
1403. C22×C4C2×C4×D47semidirect
1429. C4⋊C4C2×C4×D47semidirect
1479. C22⋊C4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896892
#202465632
#202465572
#202465472
#202465432
#202464962
#202464492
#202464382
#202464342
#202463702
#202463692
#202463682
#202463662
#202462472
#202462432
#202462192
#202462122
#202461962
#202461952
#202461492
#202461122
#202461092
#202460932
#202460902
#202460502
#202460472
#202459622
#202458932
C4×#130939942
#386×D472
C47×#23332
#3440647