Finite Group Databasebeta

← #26379806

Subgroups — #26379806

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#20246579C211yesmaximal, characteristic, complemented
3#20246560C211yesmaximal, characteristic, complemented
4#20246543C211yesmaximal, characteristic, complemented
5#20246533C211yesmaximal, characteristic, complemented
6#20246501C211yesmaximal, characteristic, complemented
7#20246473C211yesmaximal, characteristic, complemented
8#20246455C211yesmaximal, characteristic, complemented
9#20246438C211yesmaximal, characteristic, complemented
10#20246404C211yesmaximal, characteristic, complemented
11#20246403C211yesmaximal, characteristic, complemented
12#20246385C211yesmaximal, characteristic, complemented
13#20246322C211yesmaximal, characteristic, complemented
14#20246311C211yesmaximal, characteristic, complemented
15#20246294C211yesmaximal, characteristic, complemented
16#20246286C211yesmaximal, characteristic, complemented
17#20246200C211yesmaximal, characteristic, complemented
18#20246172C211yesmaximal, characteristic, complemented
19#20246169C211yesmaximal, characteristic, complemented
20#20246156C211yesmaximal, characteristic, complemented
21#20246095C211yesmaximal, characteristic, complemented
22#20246087C211yesmaximal, characteristic, complemented
23#20246079C211yesmaximal, characteristic, complemented
24#20246052C211yesmaximal, characteristic, complemented
25#20246048C211yesmaximal, characteristic, complemented
26#20246045C211yesmaximal, characteristic, complemented
27#20245983C211yesmaximal, characteristic, complemented
28C4×#13093994C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C47×#2360C211yesmaximal, 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×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×#13093986C2211yescharacteristic, complemented
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×#13093981C2211yescharacteristic, complemented
57C22×Dic47⋊C4C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic, complemented
59C22×(C2×D47)⋊C4C2211yescharacteristic
60C22×(C2×D47)⋊C4C2211yescharacteristic
61#15689030C2211yescharacteristic, complemented
62#15689030C2211yescharacteristic, complemented
63#15689025C2211yescharacteristic
64#15689025C2211yescharacteristic
65#15689024C2211yescharacteristic
66#15689024C2211yescharacteristic
67#15689024C2211yescharacteristic, complemented
68#15689020C2211yescharacteristic, complemented
69#15689020C2211yescharacteristic, complemented
70#15689019C2211yescharacteristic, complemented
71#15689018C2211yescharacteristic, complemented
72#15689018C2211yescharacteristic, complemented
73#15689015C2211yescharacteristic
74#15689015C2211yescharacteristic
75#15689014C2211yescharacteristic
76#15689014C2211yescharacteristic
77#15689014C2211yescharacteristic
78#15689014C2211yescharacteristic
79#15689014C2211yescharacteristic
80#15689014C2211yescharacteristic
81#15689014C2211yescharacteristic, complemented
82#15689014C2211yescharacteristic, complemented
83#15689014C2211yescharacteristic, complemented
84#15689014C2211yescharacteristic, complemented
85#15689013C2211yescharacteristic
86#15689013C2211yescharacteristic
87#15689013C2211yescharacteristic, complemented
88#15689013C2211yescharacteristic, complemented
89#15689012C2211yescharacteristic
90#15689012C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic
93#15689012C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic, complemented
96#15689012C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689009C2211yescharacteristic, complemented
99#15689009C2211yescharacteristic, complemented
100#15689009C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689008C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689007C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689005C2211yescharacteristic, complemented
107#15689002C2211yescharacteristic
108#15689002C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic, complemented
118#15689001C2211yescharacteristic, complemented
119#15689000C2211yescharacteristic
120#15689000C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688997C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688997C2211yescharacteristic, complemented
126#15688997C2211yescharacteristic, complemented
127#15688994C2211yescharacteristic
128#15688994C2211yescharacteristic
129#15688994C2211yescharacteristic
130#15688994C2211yescharacteristic
131#15688994C2211yescharacteristic
132#15688994C2211yescharacteristic
133#15688994C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic, complemented
138#15688994C2211yescharacteristic, complemented
139#15688994C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic, complemented
141#15688992C2211yescharacteristic, complemented
142#15688990C2211yescharacteristic, complemented
143#15688987C2211yescharacteristic, complemented
144#15688987C2211yescharacteristic, complemented
145#15688985C2211yescharacteristic, complemented
146#15688982C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic, complemented
148#15688981C2211yescharacteristic
149#15688981C2211yescharacteristic
150#15688980C2211yescharacteristic, complemented
151#15688978C2211yescharacteristic
152#15688978C2211yescharacteristic
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4⋊C4×Dic47C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic47C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688969C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×C22⋊Q8×C47C2211yescharacteristic
174C2×C4×Q8×C47C2211yescharacteristic, complemented
175C22×C4⋊C4×C47C2211yescharacteristic
176C47×#391C2211yescharacteristic, complemented
177C47×#389C2211yescharacteristic, complemented
178C47×#389C2211yescharacteristic, complemented
179C47×#389C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×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
223C4×D188—42no—
224C4×D188—42no—
225#13093986—42no—
226#13093986—42no—
227#13093986—42no—
228C4×C22⋊D47—42no—
229C4×C22⋊D47—42no—
230(C22⋊D47)⋊C4—42no—
231(C22⋊D47)⋊C4—42no—
232(C22⋊D47)⋊C4C2×C418yescomplemented
233(C22⋊D47)⋊C4C2×C418yescomplemented
234#13093981—42no—
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4—42no—
241C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C4⋊C4×D47—42no—
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×(C2×D47)⋊C4—42no—
259C2×(C2×D47)⋊C4C2×C418yescomplemented
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
296C2×C4×Dic47C2311yescharacteristic
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
338C22×Q8×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C22⋊Q8×C47C2×C418yescomplemented
343C4×Q8×C47—42no—
344C2×C4⋊C4×C47—42no—
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×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×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—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47C22×C414yescomplemented
496C4⋊C4×C47C22×C414yescomplemented
497C4⋊C4×C47C22×C414yescomplemented
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47C22×C414yes—
501C22⋊C4×C47C22×C414yes—
502C42×C47—22no—
503C42×C47—41no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
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)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540(C2×D47)⋊C4C22×C414yes—
541(C2×D47)⋊C4C22×C414yes—
542(C2×D47)⋊C4C22×C414yescomplemented
543(C2×D47)⋊C4C22×C414yescomplemented
544(C2×D47)⋊C4C22×C414yescomplemented
545(C2×D47)⋊C4C22×C414yescomplemented
546C4⋊Dic47—22no—
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#2368—471no—
799#2367—471no—
800#2364—471no—
801#2361—471no—
802#2361—471no—
803#2360D4711yescharacteristic, complemented
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×Q8C2×D4711yescharacteristic, complemented
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⋊C4C2×D4711yescharacteristic
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#391—471no—
868#391—471no—
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#389C2×D4711yescharacteristic, complemented
881#389C2×D4711yescharacteristic, complemented
882#389C2×D4711yescharacteristic, complemented
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#387—471no—
916#387—471no—
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⋊C4—471no—
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×#95—471no—
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—42no—
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—42no—
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—1882no—
1066C2×C4⋊C4—1882no—
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C4⋊C4C22×D4711yescharacteristic
1070C2×C4⋊C4C22×D4711yescharacteristic
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#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
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—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
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#1309406912yes—
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×#1309406911yescharacteristic
1565C22C2×#1309407011yescharacteristic
1566C22C2×#1309407211yescharacteristic
1567C22#1568995911yescharacteristic
1568C22#1568996011yescharacteristic
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
1601C2C4×#1309406911yescharacteristic
1602C2#2025659411yescharacteristic
1603C2#2025753711yescharacteristic
1604C2#2025755411yescharacteristic
1605C2#2025767411yescharacteristic
1606C2#2025768611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2360C2
socle, cosocleC23×C47C25
prime radicalC2×#15689713C2
hypercenter#2360D47
hypocenterC47#34416
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. #20246579C2semidirect
3. #20246560C2semidirect
4. #20246543C2semidirect
5. #20246533C2semidirect
6. #20246501C2semidirect
7. #20246473C2semidirect
8. #20246455C2semidirect
9. #20246438C2semidirect
10. #20246404C2semidirect
11. #20246403C2semidirect
12. #20246385C2semidirect
13. #20246322C2semidirect
14. #20246311C2semidirect
15. #20246294C2semidirect
16. #20246286C2semidirect
17. #20246200C2semidirect
18. #20246172C2semidirect
19. #20246169C2semidirect
20. #20246156C2semidirect
21. #20246095C2semidirect
22. #20246087C2semidirect
23. #20246079C2semidirect
24. #20246052C2semidirect
25. #20246048C2semidirect
26. #20246045C2semidirect
27. #20245983C2semidirect
28. C4×#13093994C2semidirect
29. #20245889C2semidirect
30. C2×#15688994C2semidirect
31. C47×#2360C2semidirect
33. #15689713C4semidirect
49. C2×#13093986C22semidirect
56. C2×#13093981C22semidirect
58. C2×C4⋊C4×D47C22semidirect
61. #15689030C22semidirect
62. #15689030C22semidirect
67. #15689024C22semidirect
68. #15689020C22semidirect
69. #15689020C22semidirect
70. #15689019C22semidirect
71. #15689018C22semidirect
72. #15689018C22semidirect
81. #15689014C22semidirect
82. #15689014C22semidirect
83. #15689014C22semidirect
84. #15689014C22semidirect
87. #15689013C22semidirect
88. #15689013C22semidirect
95. #15689012C22semidirect
96. #15689012C22semidirect
97. #15689009C22semidirect
98. #15689009C22semidirect
99. #15689009C22semidirect
100. #15689009C22semidirect
101. #15689008C22semidirect
102. #15689008C22semidirect
103. #15689007C22semidirect
104. #15689007C22semidirect
105. #15689005C22semidirect
106. #15689005C22semidirect
117. #15689001C22semidirect
118. #15689001C22semidirect
125. #15688997C22semidirect
126. #15688997C22semidirect
137. #15688994C22semidirect
138. #15688994C22semidirect
139. #15688994C22semidirect
140. #15688994C22semidirect
141. #15688992C22semidirect
142. #15688990C22semidirect
143. #15688987C22semidirect
144. #15688987C22semidirect
145. #15688985C22semidirect
146. #15688982C22semidirect
147. #15688982C22semidirect
150. #15688980C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4⋊C4×Dic47C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. #15688974C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
169. #15688969C22semidirect
172. #95×D47C22semidirect
174. C2×C4×Q8×C47C22semidirect
176. C47×#391C22semidirect
177. C47×#389C22semidirect
178. C47×#389C22semidirect
179. C47×#389C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
184. 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
232. (C22⋊D47)⋊C4C2×C4semidirect
233. (C22⋊D47)⋊C4C2×C4semidirect
259. C2×(C2×D47)⋊C4C2×C4semidirect
342. C22⋊Q8×C47C2×C4semidirect
390. C2×Q8×C47C22×C4semidirect
455. C2×D188C22×C4semidirect
485. C2×C4×D47C22×C4semidirect
486. C2×C4×D47C22×C4semidirect
495. C4⋊C4×C47C22×C4semidirect
496. C4⋊C4×C47C22×C4semidirect
497. C4⋊C4×C47C22×C4semidirect
542. (C2×D47)⋊C4C22×C4semidirect
543. (C2×D47)⋊C4C22×C4semidirect
544. (C2×D47)⋊C4C22×C4semidirect
545. (C2×D47)⋊C4C22×C4semidirect
550. C4⋊Dic47C22×C4semidirect
563. Dic47⋊C4C22×C4semidirect
564. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
803. #2360D47semidirect
849. C2×C4×Q8C2×D47semidirect
869. #391C2×D47semidirect
880. #389C2×D47semidirect
881. #389C2×D47semidirect
882. #389C2×D47semidirect
917. #387C2×D47semidirect
918. #387C2×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
#202465792
#202465602
#202465432
#202465332
#202465012
#202464732
#202464552
#202464382
#202464042
#202464032
#202463852
#202463222
#202463112
#202462942
#202462862
#202462002
#202461722
#202461692
#202461562
#202460952
#202460872
#202460792
#202460522
#202460482
#202460452
#202459832
C4×#130939942
#202458892
C2×#156889942
C47×#23602
#3441647