Finite Group Databasebeta

← #26379826

Subgroups — #26379826

Order 12032.

2522 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689713C211yesmaximal, characteristic
2#20246578C211yesmaximal, characteristic, complemented
3#20246560C211yesmaximal, characteristic, complemented
4#20246543C211yesmaximal, characteristic, complemented
5#20246535C211yesmaximal, characteristic, complemented
6#20246513C211yesmaximal, characteristic, complemented
7#20246464C211yesmaximal, characteristic, complemented
8#20246435C211yesmaximal, characteristic, complemented
9#20246406C211yesmaximal, characteristic, complemented
10#20246402C211yesmaximal, characteristic, complemented
11#20246397C211yesmaximal, characteristic, complemented
12#20246373C211yesmaximal, characteristic, complemented
13#20246322C211yesmaximal, characteristic, complemented
14#20246311C211yesmaximal, characteristic, complemented
15#20246294C211yesmaximal, characteristic, complemented
16#20246286C211yesmaximal, characteristic, complemented
17#20246200C211yesmaximal, characteristic, complemented
18#20246184C211yesmaximal, characteristic, complemented
19#20246168C211yesmaximal, characteristic, complemented
20#20246157C211yesmaximal, characteristic, complemented
21#20246102C211yesmaximal, characteristic, complemented
22#20246087C211yesmaximal, characteristic, complemented
23#20246082C211yesmaximal, characteristic, complemented
24#20246061C211yesmaximal, characteristic, complemented
25#20246048C211yesmaximal, characteristic, complemented
26#20246045C211yesmaximal, characteristic, complemented
27#20245983C211yesmaximal, characteristic, complemented
28C4×#13093994C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30C2×#15688997C211yesmaximal, characteristic, complemented
31C47×#2368C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689713C4116yescomplemented
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094013C2211yescharacteristic
37C2×#13094013C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094009C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×Q8×Dic47C2211yescharacteristic, complemented
46C2×C4×D188C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic, complemented
49C2×#13093986C2211yescharacteristic
50C2×#13093986C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×#13093981C2211yescharacteristic, complemented
58C22×C4⋊Dic47C2211yescharacteristic
59C22×Dic47⋊C4C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic, complemented
61C22×(C2×D47)⋊C4C2211yescharacteristic
62C22×(C2×D47)⋊C4C2211yescharacteristic
63#15689030C2211yescharacteristic, complemented
64#15689025C2211yescharacteristic
65#15689025C2211yescharacteristic
66#15689025C2211yescharacteristic, complemented
67#15689024C2211yescharacteristic
68#15689024C2211yescharacteristic
69#15689022C2211yescharacteristic, complemented
70#15689022C2211yescharacteristic, complemented
71#15689022C2211yescharacteristic, complemented
72#15689021C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689018C2211yescharacteristic, complemented
76#15689018C2211yescharacteristic, complemented
77#15689015C2211yescharacteristic
78#15689015C2211yescharacteristic
79#15689015C2211yescharacteristic, complemented
80#15689015C2211yescharacteristic, complemented
81#15689014C2211yescharacteristic
82#15689014C2211yescharacteristic
83#15689014C2211yescharacteristic
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689014C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic
90#15689013C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic
93#15689012C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689012C2211yescharacteristic
97#15689012C2211yescharacteristic, complemented
98#15689012C2211yescharacteristic, complemented
99#15689012C2211yescharacteristic, complemented
100#15689012C2211yescharacteristic, complemented
101#15689009C2211yescharacteristic, complemented
102#15689009C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689007C2211yescharacteristic, complemented
105#15689006C2211yescharacteristic, complemented
106#15689006C2211yescharacteristic, complemented
107#15689005C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689002C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic, complemented
120#15689001C2211yescharacteristic, complemented
121#15689000C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic, complemented
138#15688997C2211yescharacteristic, complemented
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688992C2211yescharacteristic, complemented
144#15688990C2211yescharacteristic, complemented
145#15688987C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688985C2211yescharacteristic, complemented
148#15688982C2211yescharacteristic, complemented
149#15688982C2211yescharacteristic, complemented
150#15688981C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688980C2211yescharacteristic, complemented
153#15688978C2211yescharacteristic
154#15688978C2211yescharacteristic
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4⋊C4×Dic47C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic47C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic47C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688969C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×C22⋊Q8×C47C2211yescharacteristic
174C47×#391C2211yescharacteristic, complemented
175C47×#391C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#385C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—42no—
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094019C2×C418yescomplemented
213#13094019C2×C418yescomplemented
214#13094013C2×C418yescomplemented
215#13094013C2×C418yescomplemented
216#13094009C2×C418yescomplemented
217#13094009C2×C418yescomplemented
218#13093999C2×C418yescomplemented
219#13093999C2×C418yescomplemented
220#13093998C2×C418yescomplemented
221#13093994C2×C418yescomplemented
222#13093994C2×C418yescomplemented
223Q8×Dic47—42no—
224C4×D188—42no—
225C4×D188—42no—
226C4×D188—42no—
227#13093986—42no—
228#13093986—42no—
229C4×C22⋊D47—42no—
230C4×C22⋊D47—42no—
231(C22⋊D47)⋊C4—42no—
232(C22⋊D47)⋊C4—42no—
233(C22⋊D47)⋊C4C2×C418yescomplemented
234(C22⋊D47)⋊C4C2×C418yescomplemented
235#13093981—42no—
236C2×C4⋊Dic47—42no—
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×Dic47⋊C4—42no—
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C4⋊C4×D47—42no—
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×(C2×D47)⋊C4—42no—
265C2×(C2×D47)⋊C4C2×C418yescomplemented
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
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×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
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
340C22×Q8×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C22⋊Q8×C47C2×C418yescomplemented
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×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
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×Q8×C47—41no—
389C2×Q8×C47—41no—
390C2×Q8×C47C22×C414yescomplemented
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47C22×C414yes—
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47C22×C414yes—
419C2×C22⋊D47C22×C414yes—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—41no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47C22×C414yes—
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188C22×C414yes—
452C2×D188C22×C414yes—
453C2×D188C22×C414yes—
454C2×D188C22×C414yes—
455C2×D188C22×C414yescomplemented
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
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—416no—
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×D47C22×C414yescomplemented
486C2×C4×D47C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47C22×C414yescomplemented
492C4⋊C4×C47C22×C414yescomplemented
493C4⋊C4×C47C22×C414yescomplemented
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47C22×C414yes—
497C22⋊C4×C47C22×C414yes—
498C42×C47—22no—
499C42×C47—41no—
500C42×C47—41no—
501C42×C47—41no—
502C42×C47—41no—
503C42×C47—41no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—41no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4C22×C414yes—
531(C2×D47)⋊C4C22×C414yes—
532(C2×D47)⋊C4C22×C414yes—
533(C2×D47)⋊C4C22×C414yes—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yescomplemented
539(C2×D47)⋊C4C22×C414yescomplemented
540(C2×D47)⋊C4C22×C414yescomplemented
541(C2×D47)⋊C4C22×C414yescomplemented
542C4⋊Dic47—22no—
543C4⋊Dic47—22no—
544C4⋊Dic47—22no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47C22×C414yescomplemented
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4C22×C414yescomplemented
564Dic47⋊C4C22×C414yescomplemented
565C4×Dic47—22no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47C22×C414yescomplemented
576C4×Dic47C22×C414yescomplemented
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47C23×C412yes—
582C23×C47H(5,𝔽2)12yes—
583C23×C472−1+412yes—
584C23×C47C2511yescharacteristic
585C22×D47—28no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
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—44no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47C23×C412yes—
619C22×D47C23×C412yes—
620Q8×C47—44no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—44no—
657C2×C4×C47—44no—
658C2×C4×C47—82no—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47C23×C412yes—
662C2×C4×C47C23×C412yes—
663C2×C4×C47C23×C412yes—
664C2×C4×C47C23×C412yes—
665C2×C4×C47H(5,𝔽2)12yes—
666C22⋊D47—28no—
667C22⋊D47—28no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—44no—
700C2×Dic47—44no—
701C2×Dic47—82no—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47H(5,𝔽2)12yes—
707D188—44no—
708D188—44no—
709D188—44no—
710D188—44no—
711D188—44no—
712C4×D47—44no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721C4×D47—82no—
722#34416—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47#52014yes—
730C22×C47C24×C411yescharacteristic
731C22×C47C2×H(5,𝔽2)11yescharacteristic
732C22×C47C2×H(5,𝔽2)11yescharacteristic
733C22×C47C2×H(5,𝔽2)11yescharacteristic
734C22×C47C2×2−1+411yescharacteristic
735C22×C47#58511yescharacteristic
736C22×C47#58511yescharacteristic
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—22no—
742C2×D47—22no—
743C2×D47—22no—
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—416no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792C2×#538—471no—
793#2383—471no—
794#2379—471no—
795#2377—471no—
796#2376—471no—
797#2373—471no—
798#2368D4711yescharacteristic, complemented
799#2367—471no—
800#2364—471no—
801#2361—471no—
802#2361—471no—
803#2360—471no—
804#2359—471no—
805#2353—471no—
806#2352—471no—
807#2349—471no—
808D4×C4⋊C4—471no—
809#2337—471no—
810#2335—471no—
811#2334—471no—
812#2334—471no—
813#2326—471no—
814#2325—471no—
815#2324—471no—
816#2322—471no—
817#2321—471no—
818#2321—471no—
819#2312—471no—
820C4×#120—471no—
821C4×#120—471no—
822C2×#385—471no—
823C2×C47—24no—
824C2×C47C2×#52011yescharacteristic
825C2×C47C4×H(5,𝔽2)11yescharacteristic
826C2×C47C4×H(5,𝔽2)11yescharacteristic
827C2×C47#353211yescharacteristic
828C2×C47#353311yescharacteristic
829C2×C47#354111yescharacteristic
830C2×C47#354111yescharacteristic
831D47—42no—
832D47—42no—
833D47—42no—
834D47—42no—
835C24×C4—471no—
836#538—4716no—
837C2×#126—471no—
838C2×#126—471no—
839C2×#124—471no—
840C2×#124—471no—
841C2×#123—471no—
842C2×#123—471no—
843C2×C22⋊Q8C2×D4711yescharacteristic
844C2×#121—471no—
845C2×#121—471no—
846C2×#121—471no—
847C2×#120—471no—
848C2×#120—471no—
849C2×C4×Q8—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C2×#117—471no—
862C22×C4⋊C4—471no—
863C22×C4⋊C4—471no—
864C22×C4⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#391—471no—
868#391C2×D4711yescharacteristic, complemented
869#391C2×D4711yescharacteristic, complemented
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#389—471no—
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387C2×D4711yescharacteristic, complemented
916#387C2×D4711yescharacteristic, complemented
917#387C2×D4711yescharacteristic, complemented
918#387C2×D4711yescharacteristic, complemented
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#385—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385C2×D4711yescharacteristic
954#385C2×D4711yescharacteristic
955#384—471no—
956#383—471no—
957#382—471no—
958#382—471no—
959#381—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#379—471no—
966#379—471no—
967C4×C4⋊C4—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4C2×D4711yescharacteristic, complemented
973C4×C4⋊C4C2×D4711yescharacteristic, complemented
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4C2×D4711yescharacteristic
985C4×C22⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4C2×D4711yescharacteristic
987#376—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95C2×D4711yescharacteristic
991C47#3441611yescharacteristic, complemented, Sylow
992C25—471no—
993C22×Q8C22×D4711yescharacteristic
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—1882no—
1015C23×C4—1882no—
1016C23×C4—1882no—
1017C23×C4C22×D4711yescharacteristic
1018C23×C4C22×D4711yescharacteristic
1019C23×C4C22×D4711yescharacteristic
1020#126—478no—
1021#126—478no—
1022#124—478no—
1023#124—478no—
1024#123—478no—
1025#123—478no—
1026C22⋊Q8C4×D4718yescomplemented
1027#121—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×D4—478no—
1034C4×D4—478no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040C4×D4—1882no—
1041C4×D4—1882no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044#117—1882no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—1882no—
1069C2×C4⋊C4—1882no—
1070C2×C4⋊C4—1882no—
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4—478no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—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—1882no—
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95C22×D4711yescharacteristic
1167#95C22×D4711yescharacteristic
1168#95C22×D4711yescharacteristic
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—471no—
1184C24—474no—
1185C24—942no—
1186C24—942no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24—1881no—
1191C24C23×D4711yescharacteristic
1192C2×Q8—41no—
1193C2×Q8—41no—
1194C2×Q8C2×C4×D4714yescomplemented
1195C2×D4—474no—
1196C2×D4—474no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—474no—
1230C22×C4—474no—
1231C22×C4—474no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—18816no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4C2×C4×D4714yes—
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4C2×C4×D4714yescomplemented
1319C4⋊C4C2×C4×D4714yescomplemented
1320C4⋊C4C2×C4×D4714yescomplemented
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4C2×C4×D4714yes—
1362C22⋊C4C2×C4×D4714yes—
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—474no—
1370C42—474no—
1371C42—942no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—472no—
1386C23—472no—
1387C23—472no—
1388C23—472no—
1389C23—948no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—1884no—
1415C23—1884no—
1416C23—1884no—
1417C23—1884no—
1418C23—1884no—
1419C23—1884no—
1420C23C22×C4×D4712yes—
1421C23#1309407012yes—
1422C23#1309407212yes—
1423C23C24×D4711yescharacteristic
1424Q8—44no—
1425D4—948no—
1426D4—948no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430D4—1884no—
1431D4—1884no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—82no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—3762no—
1507C2×C4—3762no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4#1309407012yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—942no—
1533C22—942no—
1534C22—942no—
1535C22—942no—
1536C22—942no—
1537C22—942no—
1538C22—942no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—18816no—
1545C22—1881no—
1546C22—1881no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22#1568960514yes—
1562C22C23×C4×D4711yescharacteristic
1563C22H(5,𝔽2)×D4711yescharacteristic
1564C22C2×#1309407011yescharacteristic
1565C22C2×#1309407011yescharacteristic
1566C22C2×#1309407211yescharacteristic
1567C22#1568995811yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C2—24no—
1596C2—1882no—
1597C2—1882no—
1598C2—1882no—
1599C2—1882no—
1600C2C2×#1568960511yescharacteristic
1601C2#2025659211yescharacteristic
1602C2C4×#1309407011yescharacteristic
1603C2#2025754411yescharacteristic
1604C2#2025756011yescharacteristic
1605C2#2025767411yescharacteristic
1606C2#2025768211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2368C2
socle, cosocleC23×C47C25
prime radicalC2×#15689713C2
hypercenter#2368D47
hypocenterC47#34416
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #20246578C2semidirect
3. #20246560C2semidirect
4. #20246543C2semidirect
5. #20246535C2semidirect
6. #20246513C2semidirect
7. #20246464C2semidirect
8. #20246435C2semidirect
9. #20246406C2semidirect
10. #20246402C2semidirect
11. #20246397C2semidirect
12. #20246373C2semidirect
13. #20246322C2semidirect
14. #20246311C2semidirect
15. #20246294C2semidirect
16. #20246286C2semidirect
17. #20246200C2semidirect
18. #20246184C2semidirect
19. #20246168C2semidirect
20. #20246157C2semidirect
21. #20246102C2semidirect
22. #20246087C2semidirect
23. #20246082C2semidirect
24. #20246061C2semidirect
25. #20246048C2semidirect
26. #20246045C2semidirect
27. #20245983C2semidirect
28. C4×#13093994C2semidirect
29. #20245889C2semidirect
30. C2×#15688997C2semidirect
31. C47×#2368C2semidirect
33. #15689713C4semidirect
45. C2×Q8×Dic47C22semidirect
48. C2×C4×D188C22semidirect
57. C2×#13093981C22semidirect
60. C2×C4⋊C4×D47C22semidirect
63. #15689030C22semidirect
66. #15689025C22semidirect
69. #15689022C22semidirect
70. #15689022C22semidirect
71. #15689022C22semidirect
72. #15689021C22semidirect
73. #15689020C22semidirect
74. #15689020C22semidirect
75. #15689018C22semidirect
76. #15689018C22semidirect
79. #15689015C22semidirect
80. #15689015C22semidirect
87. #15689014C22semidirect
88. #15689014C22semidirect
97. #15689012C22semidirect
98. #15689012C22semidirect
99. #15689012C22semidirect
100. #15689012C22semidirect
101. #15689009C22semidirect
102. #15689009C22semidirect
103. #15689007C22semidirect
104. #15689007C22semidirect
105. #15689006C22semidirect
106. #15689006C22semidirect
107. #15689005C22semidirect
108. #15689005C22semidirect
119. #15689001C22semidirect
120. #15689001C22semidirect
135. #15688997C22semidirect
136. #15688997C22semidirect
137. #15688997C22semidirect
138. #15688997C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688992C22semidirect
144. #15688990C22semidirect
145. #15688987C22semidirect
146. #15688987C22semidirect
147. #15688985C22semidirect
148. #15688982C22semidirect
149. #15688982C22semidirect
152. #15688980C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4⋊C4×Dic47C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×C4⋊Dic47C22semidirect
159. #15688974C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688969C22semidirect
172. #95×D47C22semidirect
174. C47×#391C22semidirect
175. C47×#391C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
212. #13094019C2×C4semidirect
213. #13094019C2×C4semidirect
214. #13094013C2×C4semidirect
215. #13094013C2×C4semidirect
216. #13094009C2×C4semidirect
217. #13094009C2×C4semidirect
218. #13093999C2×C4semidirect
219. #13093999C2×C4semidirect
220. #13093998C2×C4semidirect
221. #13093994C2×C4semidirect
222. #13093994C2×C4semidirect
233. (C22⋊D47)⋊C4C2×C4semidirect
234. (C22⋊D47)⋊C4C2×C4semidirect
265. C2×(C2×D47)⋊C4C2×C4semidirect
344. C22⋊Q8×C47C2×C4semidirect
390. C2×Q8×C47C22×C4semidirect
455. C2×D188C22×C4semidirect
485. C2×C4×D47C22×C4semidirect
486. C2×C4×D47C22×C4semidirect
491. C4⋊C4×C47C22×C4semidirect
492. C4⋊C4×C47C22×C4semidirect
493. C4⋊C4×C47C22×C4semidirect
538. (C2×D47)⋊C4C22×C4semidirect
539. (C2×D47)⋊C4C22×C4semidirect
540. (C2×D47)⋊C4C22×C4semidirect
541. (C2×D47)⋊C4C22×C4semidirect
550. C4⋊Dic47C22×C4semidirect
563. Dic47⋊C4C22×C4semidirect
564. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
798. #2368D47semidirect
868. #391C2×D47semidirect
869. #391C2×D47semidirect
915. #387C2×D47semidirect
916. #387C2×D47semidirect
917. #387C2×D47semidirect
918. #387C2×D47semidirect
972. C4×C4⋊C4C2×D47semidirect
973. C4×C4⋊C4C2×D47semidirect
991. C47#34416semidirect
1026. C22⋊Q8C4×D47semidirect
1194. C2×Q8C2×C4×D47semidirect
1318. C4⋊C4C2×C4×D47semidirect
1319. C4⋊C4C2×C4×D47semidirect
1320. C4⋊C4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897132
#202465782
#202465602
#202465432
#202465352
#202465132
#202464642
#202464352
#202464062
#202464022
#202463972
#202463732
#202463222
#202463112
#202462942
#202462862
#202462002
#202461842
#202461682
#202461572
#202461022
#202460872
#202460822
#202460612
#202460482
#202460452
#202459832
C4×#130939942
#202458892
C2×#156889972
C47×#23682
#3441647