Finite Group Databasebeta

← #26379637

Subgroups — #26379637

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×#15689688C211yesmaximal, characteristic
2#20246563C211yesmaximal, characteristic, complemented
3#20246557C211yesmaximal, characteristic, complemented
4#20246546C211yesmaximal, characteristic, complemented
5#20246544C211yesmaximal, characteristic, complemented
6#20246495C211yesmaximal, characteristic, complemented
7#20246449C211yesmaximal, characteristic, complemented
8#20246439C211yesmaximal, characteristic, complemented
9#20246433C211yesmaximal, characteristic, complemented
10#20246372C211yesmaximal, characteristic, complemented
11#20246367C211yesmaximal, characteristic, complemented
12#20246367C211yesmaximal, characteristic, complemented
13#20246246C211yesmaximal, characteristic, complemented
14#20246242C211yesmaximal, characteristic, complemented
15#20246214C211yesmaximal, characteristic, complemented
16#20246213C211yesmaximal, characteristic, complemented
17#20246202C211yesmaximal, characteristic, complemented
18#20246196C211yesmaximal, characteristic, complemented
19#20246151C211yesmaximal, characteristic, complemented
20#20246147C211yesmaximal, characteristic, complemented
21#20246110C211yesmaximal, characteristic, complemented
22#20246109C211yesmaximal, characteristic, complemented
23#20246092C211yesmaximal, characteristic, complemented
24#20246089C211yesmaximal, characteristic, complemented
25#20246045C211yesmaximal, characteristic, complemented
26#20246042C211yesmaximal, characteristic, complemented
27#20245963C211yesmaximal, characteristic, complemented
28#20245893C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2358C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C23×C22⋊D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689688C4116yescomplemented
36C2×#13094020C2211yescharacteristic
37C2×#13094020C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic, complemented
48C2×C4×D188C2211yescharacteristic, complemented
49C2×D4×Dic47C2211yescharacteristic
50C2×D4×Dic47C2211yescharacteristic, complemented
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
55C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
57C2×#13093980C2211yescharacteristic
58C22×C22⋊Dic47C2211yescharacteristic
59C22×C22⋊Dic47C2211yescharacteristic
60C22×(C2×D47)⋊C4C2211yescharacteristic
61#15689029C2211yescharacteristic, complemented
62#15689028C2211yescharacteristic, complemented
63#15689027C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689026C2211yescharacteristic, complemented
66#15689024C2211yescharacteristic, complemented
67#15689024C2211yescharacteristic, complemented
68#15689023C2211yescharacteristic, complemented
69#15689023C2211yescharacteristic, complemented
70#15689023C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic, complemented
72#15689017C2211yescharacteristic, complemented
73#15689017C2211yescharacteristic, complemented
74#15689016C2211yescharacteristic, complemented
75#15689016C2211yescharacteristic, complemented
76#15689014C2211yescharacteristic, complemented
77#15689014C2211yescharacteristic, complemented
78#15689013C2211yescharacteristic, complemented
79#15689013C2211yescharacteristic, complemented
80#15689013C2211yescharacteristic, complemented
81#15689013C2211yescharacteristic, complemented
82#15689012C2211yescharacteristic, complemented
83#15689012C2211yescharacteristic, complemented
84#15689011C2211yescharacteristic, complemented
85#15689011C2211yescharacteristic, complemented
86#15689010C2211yescharacteristic, complemented
87#15689010C2211yescharacteristic, complemented
88#15689007C2211yescharacteristic, complemented
89#15689007C2211yescharacteristic, complemented
90#15689005C2211yescharacteristic, complemented
91#15689005C2211yescharacteristic, complemented
92#15689004C2211yescharacteristic, complemented
93#15689004C2211yescharacteristic, complemented
94#15689003C2211yescharacteristic
95#15689003C2211yescharacteristic, complemented
96#15689003C2211yescharacteristic, complemented
97#15689002C2211yescharacteristic
98#15689002C2211yescharacteristic
99#15689002C2211yescharacteristic
100#15689002C2211yescharacteristic
101#15689002C2211yescharacteristic
102#15689002C2211yescharacteristic, complemented
103#15689002C2211yescharacteristic, complemented
104#15689002C2211yescharacteristic, complemented
105#15689002C2211yescharacteristic, complemented
106#15689001C2211yescharacteristic, complemented
107#15689001C2211yescharacteristic, complemented
108#15689001C2211yescharacteristic, complemented
109#15689001C2211yescharacteristic, complemented
110#15689000C2211yescharacteristic
111#15689000C2211yescharacteristic
112#15689000C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic
115#15689000C2211yescharacteristic, complemented
116#15689000C2211yescharacteristic, complemented
117#15688999C2211yescharacteristic
118#15688999C2211yescharacteristic
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
132#15688998C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688997C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic
140#15688995C2211yescharacteristic, complemented
141#15688990C2211yescharacteristic, complemented
142#15688990C2211yescharacteristic, complemented
143#15688988C2211yescharacteristic, complemented
144#15688987C2211yescharacteristic, complemented
145#15688985C2211yescharacteristic, complemented
146#15688984C2211yescharacteristic
147#15688984C2211yescharacteristic
148#15688984C2211yescharacteristic, complemented
149#15688981C2211yescharacteristic, complemented
150#15688980C2211yescharacteristic, complemented
151#15688978C2211yescharacteristic
152#15688978C2211yescharacteristic
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic47C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688969C2211yescharacteristic, complemented
168#15688968C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic, complemented
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#390C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C2×#10625352—42no—
190C2×#10625352—42no—
191C2×#10625352C2×C418yescomplemented
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47—42no—
196C22×C22⋊D47—42no—
197C22×C22⋊D47C2×C418yescomplemented
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C23×Dic47C2311yescharacteristic
215C22×C4×D47—42no—
216C22×C4×D47—42no—
217C22×C4×D47—42no—
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225#13094020C2×C418yescomplemented
226#13094020C2×C418yescomplemented
227#13094010C2×C418yescomplemented
228#13094010C2×C418yescomplemented
229#13093997C2×C418yescomplemented
230#13093997C2×C418yescomplemented
231#13093996C2×C418yescomplemented
232#13093996C2×C418yescomplemented
233#13093994C2×C418yescomplemented
234#13093993C2×C418yescomplemented
235#13093992C2×C418yescomplemented
236C4×D188—42no—
237C4×D188—42no—
238D4×Dic47—42no—
239D4×Dic47—42no—
240C4×C22⋊D47—42no—
241C4×C22⋊D47—42no—
242(C22⋊D47)⋊C4—42no—
243(C22⋊D47)⋊C4—42no—
244(C22⋊D47)⋊C4—42no—
245(C22⋊D47)⋊C4—42no—
246#13093980C2×C418yescomplemented
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×C22⋊Dic47—42no—
259C2×C22⋊Dic47—42no—
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
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×(C2×D47)⋊C4—42no—
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×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C25×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351#120×C47C2×C418yescomplemented
352C4×D4×C47—42no—
353C4×D4×C47—42no—
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47—42no—
358C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382C24×C47—22no—
383C24×C47—22no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47C22×C414yes—
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47C22×C414yes—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47C22×C414yes—
410C2×D4×C47C22×C414yescomplemented
411C2×D4×C47C22×C414yescomplemented
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—416no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47C22×C414yes—
460C2×C22⋊D47C22×C414yes—
461C2×C22⋊D47C22×C414yes—
462C2×C22⋊D47C22×C414yes—
463C2×C22⋊D47C22×C414yes—
464C2×C22⋊D47C22×C414yes—
465C2×C22⋊D47C22×C414yes—
466C2×C22⋊D47C22×C414yescomplemented
467C2×C22⋊D47C22×C414yescomplemented
468C2×C22⋊D47C22×C414yescomplemented
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—41no—
476C22×Dic47—41no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47C22×C414yes—
489C22×Dic47C22×C414yescomplemented
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503#10625352—416no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188C22×C414yes—
509C2×D188C22×C414yes—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
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—416no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47C22×C414yescomplemented
532C2×Dic94—41no—
533C2×Dic94—41no—
534C2×Dic94C22×C414yescomplemented
535C4⋊C4×C47—41no—
536C4⋊C4×C47—41no—
537C4⋊C4×C47—41no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47C22×C414yes—
550C22⋊C4×C47C22×C414yescomplemented
551C22⋊C4×C47C22×C414yescomplemented
552C42×C47—22no—
553C42×C47—41no—
554C42×C47—41no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47C22×C414yes—
567C22⋊Dic47C22×C414yescomplemented
568C22⋊Dic47C22×C414yescomplemented
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊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)⋊C4—41no—
587(C2×D47)⋊C4C22×C414yes—
588(C2×D47)⋊C4C22×C414yes—
589(C2×D47)⋊C4C22×C414yes—
590(C2×D47)⋊C4C22×C414yes—
591C4⋊Dic47—22no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594Dic47⋊C4—22no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4C22×C414yescomplemented
601Dic47⋊C4C22×C414yescomplemented
602C4×Dic47—22no—
603C4×Dic47—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C22×C414yescomplemented
612C4×Dic47C22×C414yescomplemented
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—28no—
636C23×C47—44no—
637C23×C47—44no—
638C23×C47—82no—
639C23×C47—82no—
640C23×C47—82no—
641C23×C47—82no—
642C23×C47C23×C412yes—
643C23×C47C23×C412yes—
644C23×C47C23×C412yes—
645C23×C47C23×C412yes—
646C23×C47H(5,𝔽2)12yes—
647C23×C47H(5,𝔽2)12yes—
648C23×C47C2511yescharacteristic
649C22×D47—28no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47C23×C412yes—
675C22×D47C23×C412yes—
676C22×D47C23×C412yes—
677D4×C47—28no—
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—44no—
710C2×C4×C47—82no—
711C2×C4×C47—82no—
712C2×C4×C47—82no—
713C2×C4×C47—82no—
714C2×C4×C47C23×C412yes—
715C2×C4×C47C23×C412yes—
716C2×C4×C47C23×C412yes—
717C2×C4×C47H(5,𝔽2)12yes—
718C22⋊D47—28no—
719C22⋊D47—44no—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—44no—
723C22⋊D47—44no—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C2×Dic47—28no—
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—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—44no—
763C2×Dic47—44no—
764C2×Dic47—82no—
765C2×Dic47—82no—
766C2×Dic47—82no—
767C2×Dic47—82no—
768C2×Dic47C23×C412yes—
769C2×Dic47C23×C412yes—
770C2×Dic47C23×C412yes—
771C2×Dic47C23×C412yes—
772C2×Dic47C23×C412yes—
773C2×Dic47H(5,𝔽2)12yes—
774D188—44no—
775D188—44no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—44no—
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—22no—
795C22×C47—22no—
796C22×C47—22no—
797C22×C47—22no—
798C22×C47—22no—
799C22×C47—22no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—88no—
813C22×C47#51814yes—
814C22×C47C24×C411yescharacteristic
815C22×C47C2×H(5,𝔽2)11yescharacteristic
816C22×C47C2×H(5,𝔽2)11yescharacteristic
817C22×C47C2×H(5,𝔽2)11yescharacteristic
818C22×C47C2×H(5,𝔽2)11yescharacteristic
819C22×C47#58511yescharacteristic
820C22×C47#58511yescharacteristic
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—416no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—22no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854Dic47—22no—
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#2358D4711yescharacteristic, complemented
880#2343—471no—
881#2343—471no—
882#2339—471no—
883#2339—471no—
884#2337—471no—
885#2337—471no—
886#2333—471no—
887#2333—471no—
888#2328—471no—
889#2328—471no—
890#2325—471no—
891#2325—471no—
892#2321—471no—
893#2321—471no—
894#2308—471no—
895C4×#120—471no—
896C4×#120—471no—
897C2×#386—471no—
898C2×C47—24no—
899C2×C47—42no—
900C2×C47—42no—
901C2×C47—42no—
902C2×C47C2×#51811yescharacteristic
903C2×C47C4×H(5,𝔽2)11yescharacteristic
904C2×C47C4×H(5,𝔽2)11yescharacteristic
905C2×C47#353211yescharacteristic
906C2×C47#353311yescharacteristic
907C2×C47#354211yescharacteristic
908C2×C47#354211yescharacteristic
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×#121—471no—
924C2×#120—471no—
925C2×#120—471no—
926C2×#120—471no—
927C2×#120C2×D4711yescharacteristic
928C2×C4×D4—471no—
929C2×C4×D4—471no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4—471no—
934C2×C4×D4—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937C2×C4×D4—471no—
938C2×C4×D4C2×D4711yescharacteristic
939C2×C4×D4C2×D4711yescharacteristic, complemented
940C2×#117—471no—
941C22×C22⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4C2×D4711yescharacteristic
945C22×C22⋊C4C2×D4711yescharacteristic
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#390—471no—
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#387—471no—
981#387—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#386—471no—
1009#386—471no—
1010#386—471no—
1011#386—471no—
1012#386—471no—
1013#386—471no—
1014#386—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
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#385C2×D4711yescharacteristic
1033#385C2×D4711yescharacteristic, complemented
1034#383—471no—
1035#383—471no—
1036#382—471no—
1037#382—471no—
1038#381—471no—
1039#381—471no—
1040#381—471no—
1041#381—471no—
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⋊C4—471no—
1060C4×C22⋊C4C2×D4711yescharacteristic
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—
1070C25C22×D4711yescharacteristic
1071C2×#41—478no—
1072C2×#41—1882no—
1073C2×#41—1882no—
1074C22×Q8—471no—
1075C22×D4—471no—
1076C22×D4—478no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—471no—
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—1882no—
1108C23×C4—1882no—
1109C23×C4—1882no—
1110C23×C4C22×D4711yescharacteristic
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113C23×C4C22×D4711yescharacteristic
1114C23×C4C22×D4711yescharacteristic
1115#127—478no—
1116#127—478no—
1117#124—478no—
1118#124—478no—
1119#121—478no—
1120#121—478no—
1121#121—478no—
1122#121—478no—
1123#120—478no—
1124#120—478no—
1125#120—478no—
1126#120C4×D4718yescomplemented
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—1882no—
1130C4×D4—1882no—
1131C4×D4—1882no—
1132C4×D4—1882no—
1133C4×D4—1882no—
1134C4×D4—1882no—
1135C4×D4—1882no—
1136C4×D4—1882no—
1137C4×D4—1882no—
1138C4×D4—1882no—
1139#117—478no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—42no—
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⋊C4C22×D4711yescharacteristic
1196C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
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#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—471no—
1270C24—471no—
1271C24—471no—
1272C24—474no—
1273C24—942no—
1274C24—942no—
1275C24—1881no—
1276C24—1881no—
1277C24—1881no—
1278C24—1881no—
1279C24C2×C4×D4714yes—
1280C24C23×D4711yescharacteristic
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284#41—18816no—
1285C2×Q8—474no—
1286C2×Q8—1881no—
1287C2×Q8—1881no—
1288C2×D4—22no—
1289C2×D4—22no—
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—1881no—
1309C2×D4—1881no—
1310C2×D4—1881no—
1311C2×D4—1881no—
1312C2×D4—1881no—
1313C2×D4—1881no—
1314C2×D4—1881no—
1315C2×D4—1881no—
1316C2×D4—1881no—
1317C2×D4—1881no—
1318C2×D4—1881no—
1319C2×D4—1881no—
1320C2×D4—18816no—
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×D4714yescomplemented
1333C2×D4C2×C4×D4714yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—474no—
1350C22×C4—471no—
1351C22×C4—471no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—474no—
1357C22×C4—474no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—471no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—942no—
1366C22×C4—942no—
1367C22×C4—942no—
1368C22×C4—942no—
1369C22×C4—942no—
1370C22×C4—942no—
1371C22×C4—942no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
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—18816no—
1392C22×C4—1881no—
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×C4—1881no—
1404C22×C4—1881no—
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—41no—
1419C4⋊C4—474no—
1420C4⋊C4—474no—
1421C4⋊C4—942no—
1422C4⋊C4—942no—
1423C4⋊C4—1881no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4—1881no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
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—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4C2×C4×D4714yes—
1478C22⋊C4C2×C4×D4714yescomplemented
1479C22⋊C4C2×C4×D4714yescomplemented
1480C42—22no—
1481C42—41no—
1482C42—41no—
1483C42—474no—
1484C42—474no—
1485C42—942no—
1486C42—1881no—
1487C42—1881no—
1488C42—1881no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C42—1881no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—28no—
1517C23—44no—
1518C23—44no—
1519C23—82no—
1520C23—82no—
1521C23—82no—
1522C23—82no—
1523C23—472no—
1524C23—472no—
1525C23—472no—
1526C23—948no—
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—941no—
1543C23—941no—
1544C23—941no—
1545C23—1884no—
1546C23—1884no—
1547C23—1884no—
1548C23—1884no—
1549C23—1884no—
1550C23—1884no—
1551C23C22×C4×D4712yes—
1552C23C22×C4×D4712yes—
1553C23C22×C4×D4712yes—
1554C23C22×C4×D4712yes—
1555C23#1309406912yes—
1556C23#1309407012yes—
1557C23C24×D4711yescharacteristic
1558Q8—1884no—
1559D4—28no—
1560D4—44no—
1561D4—44no—
1562D4—948no—
1563D4—1884no—
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—44no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—472no—
1609C2×C4—472no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—948no—
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—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—3762no—
1649C2×C4—3762no—
1650C2×C4—3762no—
1651C2×C4—3762no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4—1884no—
1661C2×C4C22×C4×D4712yes—
1662C2×C4C22×C4×D4712yes—
1663C2×C4C22×C4×D4712yes—
1664C2×C4#1309406912yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—88no—
1693C22—942no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—942no—
1698C22—942no—
1699C22—942no—
1700C22—942no—
1701C22—942no—
1702C22—18816no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22#1568959514yes—
1716C22C23×C4×D4711yescharacteristic
1717C22H(5,𝔽2)×D4711yescharacteristic
1718C22C2×#1309406911yescharacteristic
1719C22C2×#1309406911yescharacteristic
1720C22C2×#1309407011yescharacteristic
1721C22#1568995811yescharacteristic
1722C22#1568995911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—942no—
1735C4—942no—
1736C4—942no—
1737C4—942no—
1738C4—942no—
1739C4—942no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—42no—
1751C2—1882no—
1752C2—1882no—
1753C2—1882no—
1754C2C2×#1568959511yescharacteristic
1755C2#2025659211yescharacteristic
1756C2C4×#1309406911yescharacteristic
1757C2#2025753711yescharacteristic
1758C2#2025756011yescharacteristic
1759C2#2025768911yescharacteristic
1760C2#2025770911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2358C2
socle, cosocleC23×C47C25
prime radicalC2×#15689688C2
hypercenter#2358D47
hypocenterC47#34406
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #20246563C2semidirect
3. #20246557C2semidirect
4. #20246546C2semidirect
5. #20246544C2semidirect
6. #20246495C2semidirect
7. #20246449C2semidirect
8. #20246439C2semidirect
9. #20246433C2semidirect
10. #20246372C2semidirect
11. #20246367C2semidirect
12. #20246367C2semidirect
13. #20246246C2semidirect
14. #20246242C2semidirect
15. #20246214C2semidirect
16. #20246213C2semidirect
17. #20246202C2semidirect
18. #20246196C2semidirect
19. #20246151C2semidirect
20. #20246147C2semidirect
21. #20246110C2semidirect
22. #20246109C2semidirect
23. #20246092C2semidirect
24. #20246089C2semidirect
25. #20246045C2semidirect
26. #20246042C2semidirect
27. #20245963C2semidirect
28. #20245893C2semidirect
29. C4×#13093994C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2358C2semidirect
35. #15689688C4semidirect
47. C2×C4×D188C22semidirect
48. C2×C4×D188C22semidirect
50. C2×D4×Dic47C22semidirect
52. C2×C4×C22⋊D47C22semidirect
54. C2×(C22⋊D47)⋊C4C22semidirect
55. C2×(C22⋊D47)⋊C4C22semidirect
56. C2×(C22⋊D47)⋊C4C22semidirect
61. #15689029C22semidirect
62. #15689028C22semidirect
63. #15689027C22semidirect
64. #15689027C22semidirect
65. #15689026C22semidirect
66. #15689024C22semidirect
67. #15689024C22semidirect
68. #15689023C22semidirect
69. #15689023C22semidirect
70. #15689023C22semidirect
71. #15689023C22semidirect
72. #15689017C22semidirect
73. #15689017C22semidirect
74. #15689016C22semidirect
75. #15689016C22semidirect
76. #15689014C22semidirect
77. #15689014C22semidirect
78. #15689013C22semidirect
79. #15689013C22semidirect
80. #15689013C22semidirect
81. #15689013C22semidirect
82. #15689012C22semidirect
83. #15689012C22semidirect
84. #15689011C22semidirect
85. #15689011C22semidirect
86. #15689010C22semidirect
87. #15689010C22semidirect
88. #15689007C22semidirect
89. #15689007C22semidirect
90. #15689005C22semidirect
91. #15689005C22semidirect
92. #15689004C22semidirect
93. #15689004C22semidirect
95. #15689003C22semidirect
96. #15689003C22semidirect
102. #15689002C22semidirect
103. #15689002C22semidirect
104. #15689002C22semidirect
105. #15689002C22semidirect
106. #15689001C22semidirect
107. #15689001C22semidirect
108. #15689001C22semidirect
109. #15689001C22semidirect
115. #15689000C22semidirect
116. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
132. #15688998C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688997C22semidirect
136. #15688997C22semidirect
138. #15688996C22semidirect
140. #15688995C22semidirect
141. #15688990C22semidirect
142. #15688990C22semidirect
143. #15688988C22semidirect
144. #15688987C22semidirect
145. #15688985C22semidirect
148. #15688984C22semidirect
149. #15688981C22semidirect
150. #15688980C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4×Dic47⋊C4C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C22⋊C4×Dic47C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
164. C4×C22⋊Dic47C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688969C22semidirect
168. #15688968C22semidirect
171. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
175. C2×C4×D4×C47C22semidirect
178. C47×#390C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
185. C47×#385C22semidirect
187. C4×C22⋊C4×C47C22semidirect
191. C2×#10625352C2×C4semidirect
197. C22×C22⋊D47C2×C4semidirect
225. #13094020C2×C4semidirect
226. #13094020C2×C4semidirect
227. #13094010C2×C4semidirect
228. #13094010C2×C4semidirect
229. #13093997C2×C4semidirect
230. #13093997C2×C4semidirect
231. #13093996C2×C4semidirect
232. #13093996C2×C4semidirect
233. #13093994C2×C4semidirect
234. #13093993C2×C4semidirect
235. #13093992C2×C4semidirect
246. #13093980C2×C4semidirect
351. #120×C47C2×C4semidirect
410. C2×D4×C47C22×C4semidirect
411. C2×D4×C47C22×C4semidirect
466. C2×C22⋊D47C22×C4semidirect
467. C2×C22⋊D47C22×C4semidirect
468. C2×C22⋊D47C22×C4semidirect
489. C22×Dic47C22×C4semidirect
531. C2×C4×D47C22×C4semidirect
534. C2×Dic94C22×C4semidirect
550. C22⋊C4×C47C22×C4semidirect
551. C22⋊C4×C47C22×C4semidirect
567. C22⋊Dic47C22×C4semidirect
568. C22⋊Dic47C22×C4semidirect
600. Dic47⋊C4C22×C4semidirect
601. Dic47⋊C4C22×C4semidirect
611. C4×Dic47C22×C4semidirect
612. C4×Dic47C22×C4semidirect
879. #2358D47semidirect
939. C2×C4×D4C2×D47semidirect
957. #390C2×D47semidirect
972. #388C2×D47semidirect
973. #388C2×D47semidirect
1020. #386C2×D47semidirect
1021. #386C2×D47semidirect
1033. #385C2×D47semidirect
1061. C4×C22⋊C4C2×D47semidirect
1068. C47#34406semidirect
1126. #120C4×D47semidirect
1332. C2×D4C2×C4×D47semidirect
1333. C2×D4C2×C4×D47semidirect
1478. C22⋊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×#156896882
#202465632
#202465572
#202465462
#202465442
#202464952
#202464492
#202464392
#202464332
#202463722
#202463672
#202462462
#202462422
#202462142
#202462132
#202462022
#202461962
#202461512
#202461472
#202461102
#202461092
#202460922
#202460892
#202460452
#202460422
#202459632
#202458932
C4×#130939942
C2×#156889992
C47×#23582
#3440647