Finite Group Databasebeta

← #26382443

Subgroups — #26382443

Order 12032.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689865C211yesmaximal, characteristic
2#20246561C211yesmaximal, characteristic, complemented
3#20246560C211yesmaximal, characteristic, complemented
4#20246557C211yesmaximal, characteristic, complemented
5#20246464C211yesmaximal, characteristic, complemented
6#20246463C211yesmaximal, characteristic, complemented
7#20246460C211yesmaximal, characteristic, complemented
8#20246459C211yesmaximal, characteristic, complemented
9#20246457C211yesmaximal, characteristic, complemented
10#20246456C211yesmaximal, characteristic, complemented
11#20246371C211yesmaximal, characteristic, complemented
12#20246370C211yesmaximal, characteristic, complemented
13#20246368C211yesmaximal, characteristic, complemented
14#20246366C211yesmaximal, characteristic, complemented
15#20246364C211yesmaximal, characteristic, complemented
16#20246364C211yesmaximal, characteristic, complemented
17#20246200C211yesmaximal, characteristic, complemented
18#20246199C211yesmaximal, characteristic, complemented
19#20246198C211yesmaximal, characteristic, complemented
20#20246198C211yesmaximal, characteristic, complemented
21#20246195C211yesmaximal, characteristic, complemented
22#20246051C211yesmaximal, characteristic, complemented
23#20246050C211yesmaximal, characteristic, complemented
24#20246050C211yesmaximal, characteristic, complemented
25#20246048C211yesmaximal, characteristic, complemented
26#20246044C211yesmaximal, characteristic, complemented
27#20246041C211yesmaximal, characteristic, complemented
28#20245931C211yesmaximal, characteristic, complemented
29#20245929C211yesmaximal, characteristic, complemented
30C4×#13094010C211yesmaximal, characteristic, complemented
31C47×#2337C211yesmaximal, characteristic, complemented
32#15689865C4116yescomplemented
33C2×#13094013C2211yescharacteristic
34C2×#13094013C2211yescharacteristic
35C2×#13094012C2211yescharacteristic
36C2×#13094012C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic
40C2×#13094010C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×Q8×Dic47C2211yescharacteristic, complemented
48C2×C4×Dic94C2211yescharacteristic, complemented
49C2×#13093989C2211yescharacteristic, complemented
50C2×C4×D188C2211yescharacteristic
51C2×C4×D188C2211yescharacteristic
52C2×D4×Dic47C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×#13093986C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
60C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
61C2×C22⋊C4×D47C2211yescharacteristic, complemented
62C2×C22⋊C4×D47C2211yescharacteristic, complemented
63C2×C22⋊C4×D47C2211yescharacteristic, complemented
64C2×C22⋊C4×D47C2211yescharacteristic, complemented
65#15689030C2211yescharacteristic, complemented
66#15689029C2211yescharacteristic, complemented
67#15689028C2211yescharacteristic, complemented
68#15689027C2211yescharacteristic, complemented
69#15689027C2211yescharacteristic, complemented
70#15689027C2211yescharacteristic, complemented
71#15689027C2211yescharacteristic, complemented
72#15689026C2211yescharacteristic
73#15689025C2211yescharacteristic
74#15689025C2211yescharacteristic
75#15689024C2211yescharacteristic
76#15689024C2211yescharacteristic
77#15689023C2211yescharacteristic
78#15689023C2211yescharacteristic
79#15689023C2211yescharacteristic
80#15689023C2211yescharacteristic
81#15689017C2211yescharacteristic, complemented
82#15689017C2211yescharacteristic, complemented
83#15689016C2211yescharacteristic, complemented
84#15689016C2211yescharacteristic, complemented
85#15689016C2211yescharacteristic, complemented
86#15689016C2211yescharacteristic, complemented
87#15689015C2211yescharacteristic, complemented
88#15689015C2211yescharacteristic, complemented
89#15689015C2211yescharacteristic, complemented
90#15689015C2211yescharacteristic, complemented
91#15689015C2211yescharacteristic, complemented
92#15689015C2211yescharacteristic, complemented
93#15689015C2211yescharacteristic, complemented
94#15689015C2211yescharacteristic, complemented
95#15689015C2211yescharacteristic, complemented
96#15689014C2211yescharacteristic, complemented
97#15689014C2211yescharacteristic, complemented
98#15689014C2211yescharacteristic, complemented
99#15689014C2211yescharacteristic, complemented
100#15689014C2211yescharacteristic, complemented
101#15689013C2211yescharacteristic, complemented
102#15689013C2211yescharacteristic, complemented
103#15689013C2211yescharacteristic, complemented
104#15689012C2211yescharacteristic, complemented
105#15689012C2211yescharacteristic, complemented
106#15689012C2211yescharacteristic, complemented
107#15689012C2211yescharacteristic, complemented
108#15689012C2211yescharacteristic, complemented
109#15689012C2211yescharacteristic, complemented
110#15689012C2211yescharacteristic, complemented
111#15689011C2211yescharacteristic, complemented
112#15689011C2211yescharacteristic, complemented
113#15689002C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15689000C2211yescharacteristic
124#15689000C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic
129#15688998C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic, complemented
133#15688997C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic, complemented
135#15688997C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic, complemented
138#15688996C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic, complemented
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic, complemented
144#15688994C2211yescharacteristic, complemented
145#15688990C2211yescharacteristic, complemented
146#15688988C2211yescharacteristic, complemented
147#15688987C2211yescharacteristic, complemented
148#15688987C2211yescharacteristic, complemented
149#15688978C2211yescharacteristic, complemented
150#15688978C2211yescharacteristic, complemented
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4×Dic47⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic47C2211yescharacteristic, complemented
154C4×C4⋊Dic47C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, complemented
164#15688970C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×#124×C47C2211yescharacteristic
174C47×#391C2211yescharacteristic, complemented
175C47×#391C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#383C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094013C2×C418yescomplemented
211#13094013C2×C418yescomplemented
212#13094012C2×C418yescomplemented
213#13094012C2×C418yescomplemented
214#13094010C2×C418yescomplemented
215#13094010C2×C418yescomplemented
216#13094010C2×C418yescomplemented
217#13094010C2×C418yescomplemented
218#13093994C2×C418yescomplemented
219#13093994C2×C418yescomplemented
220#13093994C2×C418yescomplemented
221#13093994C2×C418yescomplemented
222#13093992C2×C418yescomplemented
223#13093992C2×C418yescomplemented
224Q8×Dic47—42no—
225C4×Dic94—42no—
226#13093989—42no—
227C4×D188—42no—
228C4×D188—42no—
229D4×Dic47—42no—
230#13093986—42no—
231#13093986—42no—
232C4×C22⋊D47—42no—
233C4×C22⋊D47—42no—
234C4×C22⋊D47—42no—
235(C22⋊D47)⋊C4—42no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×(C2×D47)⋊C4—42no—
259C2×(C2×D47)⋊C4—42no—
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
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
296C22⋊C4×D47—42no—
297C22⋊C4×D47—42no—
298C22⋊C4×D47—42no—
299C22⋊C4×D47—42no—
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
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
340C22×Q8×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344#124×C47C2×C418yescomplemented
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47—41no—
388C23×D47—41no—
389C23×D47—41no—
390C23×D47C22×C414yes—
391C23×D47C22×C414yes—
392C23×D47C2411yescharacteristic
393C23×D47C2411yescharacteristic
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C2×Q8×C47—41no—
397C2×Q8×C47—41no—
398C2×Q8×C47C22×C414yes—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47C22×C414yes—
402C22×C4×C47—22no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47C22×C414yes—
430C2×C22⋊D47C22×C414yes—
431C2×C22⋊D47C22×C414yes—
432C2×C22⋊D47C22×C414yes—
433C22×Dic47—22no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C2×D188—41no—
452C2×D188—41no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188C22×C414yes—
460C2×D188C22×C414yes—
461C2×D188C22×C414yes—
462C2×D188C22×C414yes—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94C22×C414yes—
492C2×Dic94C22×C414yes—
493C4⋊C4×C47—22no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47C22×C414yes—
504C22⋊C4×C47C22×C414yes—
505C22⋊C4×C47C22×C414yes—
506C22⋊C4×C47C22×C414yes—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C42×C47—41no—
511C42×C47C22×C414yes—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47C22×C414yes—
519C22⋊Dic47C22×C414yes—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4C22×C414yes—
545(C2×D47)⋊C4C22×C414yes—
546(C2×D47)⋊C4C22×C414yes—
547(C2×D47)⋊C4C22×C414yes—
548(C2×D47)⋊C4C22×C414yes—
549(C2×D47)⋊C4C22×C414yes—
550(C2×D47)⋊C4C22×C414yes—
551(C2×D47)⋊C4C22×C414yes—
552(C2×D47)⋊C4C22×C414yes—
553(C2×D47)⋊C4C22×C414yes—
554(C2×D47)⋊C4C22×C414yes—
555(C2×D47)⋊C4C22×C414yes—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—41no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570C4×Dic47—22no—
571C4×Dic47—22no—
572C4×Dic47—22no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47—41no—
576C4×Dic47—41no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C4×Dic47—41no—
584C4×Dic47C22×C414yes—
585C4×Dic47C22×C414yes—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47C23×C412yes—
599C23×C47C23×C412yes—
600C23×C47C2511yescharacteristic
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47—44no—
629C22×D47—44no—
630C22×D47—44no—
631C22×D47—82no—
632C22×D47—82no—
633C22×D47—82no—
634C22×D47—82no—
635C22×D47—82no—
636C22×D47—82no—
637C22×D47—82no—
638C22×D47—82no—
639C22×D47C23×C412yes—
640C22×D47C23×C412yes—
641C22×D47C23×C412yes—
642C22×D47C23×C412yes—
643Q8×C47—44no—
644D4×C47—44no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—82no—
679C2×C4×C47—82no—
680C2×C4×C47C23×C412yes—
681C2×C4×C47C23×C412yes—
682C2×C4×C47C23×C412yes—
683C2×C4×C47C23×C412yes—
684C2×C4×C47C23×C412yes—
685C2×C4×C47H(5,𝔽2)12yes—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—82no—
721C2×Dic47—82no—
722C2×Dic47C23×C412yes—
723C2×Dic47C23×C412yes—
724C2×Dic47C23×C412yes—
725C2×Dic47C23×C412yes—
726C2×Dic47H(5,𝔽2)12yes—
727C2×Dic47H(5,𝔽2)12yes—
728D188—44no—
729D188—44no—
730D188—44no—
731D188—44no—
732C4×D47—82no—
733C4×D47—82no—
734C4×D47—82no—
735C4×D47—82no—
736C4×D47—82no—
737C4×D47—82no—
738C4×D47—82no—
739C4×D47—82no—
740Dic94—44no—
741Dic94—44no—
742#34529—471nomaximal, Sylow
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47C24×C411yescharacteristic
758C22×C47C2×H(5,𝔽2)11yescharacteristic
759C22×C47C2×H(5,𝔽2)11yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C22×C47#58511yescharacteristic
762C22×C47#58511yescharacteristic
763C22×C47#58511yescharacteristic
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—88no—
793C2×D47—88no—
794C4×C47—22no—
795C4×C47—22no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807Dic47—22no—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819C2×H(3,𝔽4)—471no—
820#2379—471no—
821#2379—471no—
822#2379—471no—
823#2367—471no—
824#2367—471no—
825#2367—471no—
826#2367—471no—
827#2367—471no—
828#2367—471no—
829#2358—471no—
830#2358—471no—
831#2358—471no—
832#2358—471no—
833#2358—471no—
834#2358—471no—
835#2337—471no—
836#2337—471no—
837#2337—471no—
838#2337—471no—
839#2337—471no—
840#2337D4711yescharacteristic, complemented
841#2321—471no—
842#2321—471no—
843#2321—471no—
844#2321—471no—
845#2321—471no—
846#2321—471no—
847C4×#124—471no—
848C4×#124—471no—
849C4×#124—471no—
850C2×C47—42no—
851C2×C47—42no—
852C2×C47C4×H(5,𝔽2)11yescharacteristic
853C2×C47C4×H(5,𝔽2)11yescharacteristic
854C2×C47C4×H(5,𝔽2)11yescharacteristic
855C2×C47#355811yescharacteristic
856C2×C47#355811yescharacteristic
857C2×C47#355811yescharacteristic
858C2×C47#356811yescharacteristic
859D47—42no—
860D47—42no—
861D47—42no—
862D47—42no—
863H(3,𝔽4)—4716no—
864C2×#124—471no—
865C2×#124—471no—
866C2×#124—471no—
867C2×#124—471no—
868C2×#124—471no—
869C2×#124—471no—
870C2×#124—471no—
871C2×#124—471no—
872C2×#124C2×D4711yescharacteristic
873C2×#120—471no—
874C2×#120—471no—
875C2×#120—471no—
876C2×#120—471no—
877C2×#120—471no—
878C2×#120—471no—
879C2×C4×Q8—471no—
880C2×C4×Q8—471no—
881C2×C4×Q8—471no—
882C2×C4×D4—471no—
883C2×C4×D4—471no—
884C2×C4×D4—471no—
885C2×C4×D4—471no—
886C2×C4×D4—471no—
887C2×C4×D4—471no—
888C2×C4×D4—471no—
889C2×C4×D4—471no—
890C2×C4×D4—471no—
891C22×C22⋊C4—471no—
892C22×C22⋊C4—471no—
893C22×C22⋊C4—471no—
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4—471no—
897#391—471no—
898#391—471no—
899#391—471no—
900#391—471no—
901#391—471no—
902#391—471no—
903#391—471no—
904#391C2×D4711yescharacteristic, complemented
905#391C2×D4711yescharacteristic, complemented
906#390—471no—
907#390—471no—
908#390—471no—
909#390—471no—
910#390—471no—
911#390—471no—
912#390—471no—
913#390—471no—
914#390—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388C2×D4711yescharacteristic, complemented
948#388C2×D4711yescharacteristic, complemented
949#388C2×D4711yescharacteristic, complemented
950#388C2×D4711yescharacteristic, complemented
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386C2×D4711yescharacteristic
968#386C2×D4711yescharacteristic
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385C2×D4711yescharacteristic, complemented
986#385C2×D4711yescharacteristic, complemented
987#383—471no—
988#383C2×D4711yescharacteristic, complemented
989#382—471no—
990#382—471no—
991#382—471no—
992#379—471no—
993#379—471no—
994C4×C4⋊C4—471no—
995C4×C4⋊C4—471no—
996C4×C4⋊C4—471no—
997C4×C4⋊C4—471no—
998C4×C4⋊C4—471no—
999C4×C4⋊C4C2×D4711yescharacteristic, complemented
1000C4×C22⋊C4—471no—
1001C4×C22⋊C4—471no—
1002C4×C22⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005C4×C22⋊C4—471no—
1006C4×C22⋊C4—471no—
1007C4×C22⋊C4—471no—
1008C4×C22⋊C4—471no—
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4C2×D4711yescharacteristic, complemented
1017C4×C22⋊C4C2×D4711yescharacteristic, complemented
1018C43—471no—
1019C47#3452911yescharacteristic, complemented, Sylow
1020C25—471no—
1021C25—471no—
1022C22×Q8—471no—
1023C22×Q8—471no—
1024C22×Q8C22×D4711yescharacteristic
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4C22×D4711yescharacteristic
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4C22×D4711yescharacteristic
1045C23×C4C22×D4711yescharacteristic
1046#124—478no—
1047#124—478no—
1048#124—478no—
1049#124—478no—
1050#124—478no—
1051#124—478no—
1052#124—478no—
1053#124—478no—
1054#124C4×D4718yescomplemented
1055#120—478no—
1056#120—478no—
1057#120—478no—
1058#120—478no—
1059#120—478no—
1060#120—478no—
1061C4×Q8—1882no—
1062C4×Q8—1882no—
1063C4×Q8—1882no—
1064C4×D4—1882no—
1065C4×D4—1882no—
1066C4×D4—1882no—
1067C4×D4—1882no—
1068C4×D4—1882no—
1069C4×D4—1882no—
1070C4×D4—1882no—
1071C4×D4—1882no—
1072C4×D4—1882no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C4⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—1882no—
1136C2×C22⋊C4—1882no—
1137C2×C22⋊C4—1882no—
1138C2×C22⋊C4—1882no—
1139C2×C22⋊C4—1882no—
1140C2×C22⋊C4—1882no—
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42—471no—
1167C2×C42C22×D4711yescharacteristic
1168C2×C42C22×D4711yescharacteristic
1169C2×C42C22×D4711yescharacteristic
1170C2×C42C22×D4711yescharacteristic
1171C2×C42C22×D4711yescharacteristic
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200#95C22×D4711yescharacteristic
1201#95C22×D4711yescharacteristic
1202#95C22×D4711yescharacteristic
1203#95C22×D4711yescharacteristic
1204#95C22×D4711yescharacteristic
1205#95C22×D4711yescharacteristic
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208C24—471no—
1209C24—471no—
1210C24—471no—
1211C24—471no—
1212C24—474no—
1213C24—474no—
1214C24—1881no—
1215C24—1881no—
1216C24—1881no—
1217C24—1881no—
1218C24—1881no—
1219C24—1881no—
1220C24—1881no—
1221C24—1881no—
1222C24—1881no—
1223C24—1881no—
1224C24—1881no—
1225C24—1881no—
1226C24C23×D4711yescharacteristic
1227C24C23×D4711yescharacteristic
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—474no—
1231C2×Q8—474no—
1232C2×Q8—1881no—
1233C2×Q8—1881no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×Q8C2×C4×D4714yes—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—474no—
1240C2×D4—474no—
1241C2×D4—474no—
1242C2×D4—474no—
1243C2×D4—474no—
1244C2×D4—474no—
1245C2×D4—474no—
1246C2×D4—474no—
1247C2×D4—1881no—
1248C2×D4—1881no—
1249C2×D4—1881no—
1250C2×D4—1881no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4C2×C4×D4714yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—1881no—
1298C22×C4—1881no—
1299C22×C4—1881no—
1300C22×C4—1881no—
1301C22×C4—1881no—
1302C22×C4—1881no—
1303C22×C4—1881no—
1304C22×C4—1881no—
1305C22×C4—1881no—
1306C22×C4—1881no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4C23×D4711yescharacteristic
1313C22×C4C23×D4711yescharacteristic
1314C22×C4C23×D4711yescharacteristic
1315C22×C4C23×D4711yescharacteristic
1316C22×C4C23×D4711yescharacteristic
1317C22×C4C23×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—474no—
1350C22⋊C4—474no—
1351C22⋊C4—474no—
1352C22⋊C4—474no—
1353C22⋊C4—474no—
1354C22⋊C4—474no—
1355C22⋊C4—474no—
1356C22⋊C4—474no—
1357C22⋊C4—474no—
1358C22⋊C4—474no—
1359C22⋊C4—474no—
1360C22⋊C4—474no—
1361C22⋊C4—474no—
1362C22⋊C4—474no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
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—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—1881no—
1393C22⋊C4C2×C4×D4714yes—
1394C22⋊C4C2×C4×D4714yes—
1395C22⋊C4C2×C4×D4714yes—
1396C22⋊C4C2×C4×D4714yes—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—474no—
1402C42—474no—
1403C42—942no—
1404C42—942no—
1405C42—942no—
1406C42—1881no—
1407C42—1881no—
1408C42—1881no—
1409C42—1881no—
1410C42—1881no—
1411C42—1881no—
1412C42—1881no—
1413C42—1881no—
1414C42—1881no—
1415C42—1881no—
1416C42—1881no—
1417C42C2×C4×D4714yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—472no—
1431C23—472no—
1432C23—472no—
1433C23—472no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—3762no—
1459C23—3762no—
1460C23—3762no—
1461C23—3762no—
1462C23—3762no—
1463C23—3762no—
1464C23—3762no—
1465C23—3762no—
1466C23—1884no—
1467C23—1884no—
1468C23—1884no—
1469C23—1884no—
1470C23—1884no—
1471C23—1884no—
1472C23C22×C4×D4712yes—
1473C23C22×C4×D4712yes—
1474C23C24×D4711yescharacteristic
1475Q8—44no—
1476Q8—1884no—
1477Q8—1884no—
1478D4—44no—
1479D4—1884no—
1480D4—1884no—
1481D4—1884no—
1482D4—1884no—
1483D4—1884no—
1484D4—1884no—
1485D4—1884no—
1486D4—1884no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—472no—
1523C2×C4—472no—
1524C2×C4—472no—
1525C2×C4—472no—
1526C2×C4—472no—
1527C2×C4—472no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—3762no—
1559C2×C4—3762no—
1560C2×C4—3762no—
1561C2×C4—3762no—
1562C2×C4—3762no—
1563C2×C4—3762no—
1564C2×C4—3762no—
1565C2×C4—3762no—
1566C2×C4—3762no—
1567C2×C4—3762no—
1568C2×C4C22×C4×D4712yes—
1569C2×C4C22×C4×D4712yes—
1570C2×C4C22×C4×D4712yes—
1571C2×C4C22×C4×D4712yes—
1572C2×C4C22×C4×D4712yes—
1573C2×C4#1309407012yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—942no—
1589C22—942no—
1590C22—942no—
1591C22—942no—
1592C22—942no—
1593C22—942no—
1594C22—942no—
1595C22—942no—
1596C22—942no—
1597C22—942no—
1598C22—942no—
1599C22—942no—
1600C22—3768no—
1601C22—3768no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22—1881no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22C23×C4×D4711yescharacteristic
1619C22H(5,𝔽2)×D4711yescharacteristic
1620C22H(5,𝔽2)×D4711yescharacteristic
1621C22C2×#1309407011yescharacteristic
1622C22#1568995811yescharacteristic
1623C22#1568995911yescharacteristic
1624C22#1568996011yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—942no—
1639C4—942no—
1640C4—942no—
1641C4—942no—
1642C4—942no—
1643C4—942no—
1644C4—1881no—
1645C4—1881no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C2—42no—
1651C2—42no—
1652C2—1882no—
1653C2—1882no—
1654C2—1882no—
1655C2—1882no—
1656C2#2025659211yescharacteristic
1657C2#2025659411yescharacteristic
1658C2C4×#1309407011yescharacteristic
1659C2#2025789911yescharacteristic
1660C2#2025790311yescharacteristic
1661C2#2025790911yescharacteristic
1662C2#2025808011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2337C2
socle, cosocleC23×C47C25
prime radicalC2×#15689865C2
hypercenter#2337D47
hypocenterC47#34529
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #20246561C2semidirect
3. #20246560C2semidirect
4. #20246557C2semidirect
5. #20246464C2semidirect
6. #20246463C2semidirect
7. #20246460C2semidirect
8. #20246459C2semidirect
9. #20246457C2semidirect
10. #20246456C2semidirect
11. #20246371C2semidirect
12. #20246370C2semidirect
13. #20246368C2semidirect
14. #20246366C2semidirect
15. #20246364C2semidirect
16. #20246364C2semidirect
17. #20246200C2semidirect
18. #20246199C2semidirect
19. #20246198C2semidirect
20. #20246198C2semidirect
21. #20246195C2semidirect
22. #20246051C2semidirect
23. #20246050C2semidirect
24. #20246050C2semidirect
25. #20246048C2semidirect
26. #20246044C2semidirect
27. #20246041C2semidirect
28. #20245931C2semidirect
29. #20245929C2semidirect
30. C4×#13094010C2semidirect
31. C47×#2337C2semidirect
32. #15689865C4semidirect
47. C2×Q8×Dic47C22semidirect
48. C2×C4×Dic94C22semidirect
49. C2×#13093989C22semidirect
59. C22×(C2×D47)⋊C4C22semidirect
60. C22×(C2×D47)⋊C4C22semidirect
61. C2×C22⋊C4×D47C22semidirect
62. C2×C22⋊C4×D47C22semidirect
63. C2×C22⋊C4×D47C22semidirect
64. C2×C22⋊C4×D47C22semidirect
65. #15689030C22semidirect
66. #15689029C22semidirect
67. #15689028C22semidirect
68. #15689027C22semidirect
69. #15689027C22semidirect
70. #15689027C22semidirect
71. #15689027C22semidirect
81. #15689017C22semidirect
82. #15689017C22semidirect
83. #15689016C22semidirect
84. #15689016C22semidirect
85. #15689016C22semidirect
86. #15689016C22semidirect
87. #15689015C22semidirect
88. #15689015C22semidirect
89. #15689015C22semidirect
90. #15689015C22semidirect
91. #15689015C22semidirect
92. #15689015C22semidirect
93. #15689015C22semidirect
94. #15689015C22semidirect
95. #15689015C22semidirect
96. #15689014C22semidirect
97. #15689014C22semidirect
98. #15689014C22semidirect
99. #15689014C22semidirect
100. #15689014C22semidirect
101. #15689013C22semidirect
102. #15689013C22semidirect
103. #15689013C22semidirect
104. #15689012C22semidirect
105. #15689012C22semidirect
106. #15689012C22semidirect
107. #15689012C22semidirect
108. #15689012C22semidirect
109. #15689012C22semidirect
110. #15689012C22semidirect
111. #15689011C22semidirect
112. #15689011C22semidirect
129. #15688998C22semidirect
130. #15688998C22semidirect
131. #15688997C22semidirect
132. #15688997C22semidirect
133. #15688997C22semidirect
134. #15688997C22semidirect
135. #15688997C22semidirect
136. #15688997C22semidirect
137. #15688997C22semidirect
138. #15688996C22semidirect
139. #15688995C22semidirect
140. #15688994C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688994C22semidirect
144. #15688994C22semidirect
145. #15688990C22semidirect
146. #15688988C22semidirect
147. #15688987C22semidirect
148. #15688987C22semidirect
149. #15688978C22semidirect
150. #15688978C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4×Dic47⋊C4C22semidirect
153. C4×C4⋊Dic47C22semidirect
154. C4×C4⋊Dic47C22semidirect
155. #15688974C22semidirect
156. C22⋊C4×Dic47C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
162. C4×C22⋊Dic47C22semidirect
163. #15688970C22semidirect
164. #15688970C22semidirect
165. #15688970C22semidirect
166. #15688970C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. C42×Dic47C22semidirect
174. C47×#391C22semidirect
175. C47×#391C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
182. C47×#385C22semidirect
183. C47×#385C22semidirect
184. C47×#383C22semidirect
185. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
210. #13094013C2×C4semidirect
211. #13094013C2×C4semidirect
212. #13094012C2×C4semidirect
213. #13094012C2×C4semidirect
214. #13094010C2×C4semidirect
215. #13094010C2×C4semidirect
216. #13094010C2×C4semidirect
217. #13094010C2×C4semidirect
218. #13093994C2×C4semidirect
219. #13093994C2×C4semidirect
220. #13093994C2×C4semidirect
221. #13093994C2×C4semidirect
222. #13093992C2×C4semidirect
223. #13093992C2×C4semidirect
344. #124×C47C2×C4semidirect
840. #2337D47semidirect
904. #391C2×D47semidirect
905. #391C2×D47semidirect
947. #388C2×D47semidirect
948. #388C2×D47semidirect
949. #388C2×D47semidirect
950. #388C2×D47semidirect
985. #385C2×D47semidirect
986. #385C2×D47semidirect
988. #383C2×D47semidirect
999. C4×C4⋊C4C2×D47semidirect
1016. C4×C22⋊C4C2×D47semidirect
1017. C4×C22⋊C4C2×D47semidirect
1019. C47#34529semidirect
1054. #124C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898652
#202465612
#202465602
#202465572
#202464642
#202464632
#202464602
#202464592
#202464572
#202464562
#202463712
#202463702
#202463682
#202463662
#202463642
#202462002
#202461992
#202461982
#202461952
#202460512
#202460502
#202460482
#202460442
#202460412
#202459312
#202459292
C4×#130940102
C47×#23372
#3452947