Finite Group Databasebeta

← #26380663

Subgroups — #26380663

Order 12032.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689712C211yesmaximal, characteristic
2#20246578C211yesmaximal, characteristic, complemented
3#20246550C211yesmaximal, characteristic, complemented
4#20246530C211yesmaximal, characteristic, complemented
5#20246528C211yesmaximal, characteristic, complemented
6#20246512C211yesmaximal, characteristic, complemented
7#20246502C211yesmaximal, characteristic, complemented
8#20246498C211yesmaximal, characteristic, complemented
9#20246459C211yesmaximal, characteristic, complemented
10#20246410C211yesmaximal, characteristic, complemented
11#20246381C211yesmaximal, characteristic, complemented
12#20246364C211yesmaximal, characteristic, complemented
13#20246333C211yesmaximal, characteristic, complemented
14#20246327C211yesmaximal, characteristic, complemented
15#20246232C211yesmaximal, characteristic, complemented
16#20246231C211yesmaximal, characteristic, complemented
17#20246199C211yesmaximal, characteristic, complemented
18#20246172C211yesmaximal, characteristic, complemented
19#20246152C211yesmaximal, characteristic, complemented
20#20246151C211yesmaximal, characteristic, complemented
21#20246094C211yesmaximal, characteristic, complemented
22#20246087C211yesmaximal, characteristic, complemented
23#20246082C211yesmaximal, characteristic, complemented
24#20246079C211yesmaximal, characteristic, complemented
25#20246048C211yesmaximal, characteristic, complemented
26#20246041C211yesmaximal, characteristic, complemented
27#20246032C211yesmaximal, characteristic, complemented
28#20245909C211yesmaximal, characteristic, complemented
29C4×#13093997C211yesmaximal, characteristic, complemented
30#20245829C211yesmaximal, characteristic, complemented
31C47×#2373C211yesmaximal, characteristic, complemented
32#15689712C4116yescomplemented
33C2×#13094019C2211yescharacteristic
34C2×#13094012C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094002C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093989C2211yescharacteristic, complemented
45C2×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic, complemented
47C2×#13093986C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×#13093981C2211yescharacteristic
53C2×#13093981C2211yescharacteristic
54C2×#13093981C2211yescharacteristic, complemented
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic, complemented
59#15689028C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689027C2211yescharacteristic, complemented
62#15689025C2211yescharacteristic
63#15689025C2211yescharacteristic
64#15689025C2211yescharacteristic
65#15689025C2211yescharacteristic
66#15689024C2211yescharacteristic
67#15689024C2211yescharacteristic
68#15689024C2211yescharacteristic, complemented
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic
71#15689022C2211yescharacteristic, complemented
72#15689021C2211yescharacteristic, complemented
73#15689021C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689017C2211yescharacteristic
77#15689016C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689016C2211yescharacteristic
80#15689015C2211yescharacteristic
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic, complemented
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689014C2211yescharacteristic
88#15689014C2211yescharacteristic
89#15689014C2211yescharacteristic, complemented
90#15689014C2211yescharacteristic, complemented
91#15689014C2211yescharacteristic, complemented
92#15689013C2211yescharacteristic
93#15689013C2211yescharacteristic
94#15689013C2211yescharacteristic
95#15689013C2211yescharacteristic, complemented
96#15689012C2211yescharacteristic
97#15689012C2211yescharacteristic
98#15689012C2211yescharacteristic
99#15689012C2211yescharacteristic
100#15689012C2211yescharacteristic
101#15689012C2211yescharacteristic, complemented
102#15689012C2211yescharacteristic, complemented
103#15689012C2211yescharacteristic, complemented
104#15689011C2211yescharacteristic
105#15689009C2211yescharacteristic, complemented
106#15689009C2211yescharacteristic, complemented
107#15689009C2211yescharacteristic, complemented
108#15689007C2211yescharacteristic, complemented
109#15689006C2211yescharacteristic, complemented
110#15689006C2211yescharacteristic, complemented
111#15689005C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689004C2211yescharacteristic, complemented
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic, complemented
123#15689001C2211yescharacteristic, complemented
124#15689000C2211yescharacteristic
125#15689000C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688998C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic, complemented
133#15688996C2211yescharacteristic
134#15688995C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic, complemented
138#15688994C2211yescharacteristic, complemented
139#15688992C2211yescharacteristic, complemented
140#15688990C2211yescharacteristic, complemented
141#15688985C2211yescharacteristic
142#15688985C2211yescharacteristic
143#15688985C2211yescharacteristic, complemented
144#15688982C2211yescharacteristic
145#15688982C2211yescharacteristic, complemented
146#15688982C2211yescharacteristic, complemented
147#15688980C2211yescharacteristic
148#15688980C2211yescharacteristic, complemented
149#15688978C2211yescharacteristic
150#15688978C2211yescharacteristic
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4×Dic47⋊C4C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic47C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688969C2211yescharacteristic, complemented
171#15688968C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C2×#126×C47C2211yescharacteristic
174C47×#389C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C47×#376C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094019C2×C418yescomplemented
209#13094012C2×C418yescomplemented
210#13094010C2×C418yescomplemented
211#13094009C2×C418yescomplemented
212#13094006C2×C418yescomplemented
213#13094002C2×C418yescomplemented
214#13093999C2×C418yescomplemented
215#13093999C2×C418yescomplemented
216#13093997C2×C418yescomplemented
217#13093994C2×C418yescomplemented
218#13093994C2×C418yescomplemented
219#13093989—42no—
220C4×D188—42no—
221C4×D188C2×C418yescomplemented
222#13093986—42no—
223#13093986—42no—
224#13093986C2×C418yescomplemented
225C4×C22⋊D47—42no—
226C4×C22⋊D47—42no—
227#13093981—42no—
228#13093981—42no—
229#13093981—42no—
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×(C2×D47)⋊C4—42no—
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
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
289C22⋊C4×D47—42no—
290C22⋊C4×D47C2×C418yescomplemented
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
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
305C42×D47—42no—
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
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
334C23×C4×C47C2311yescharacteristic
335#126×C47C2×C418yescomplemented
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C42×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×C47C2311yescharacteristic
353C2×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×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
370C24×C47C2411yescharacteristic
371C23×D47—41no—
372C23×D47—41no—
373C23×D47—41no—
374C23×D47—41no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47C22×C414yes—
378C23×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C22×C4×C47—22no—
383C22×C4×C47—41no—
384C22×C4×C47—41no—
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C2×C22⋊D47—41no—
400C2×C22⋊D47—41no—
401C2×C22⋊D47—41no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47C22×C414yes—
404C2×C22⋊D47C22×C414yes—
405C22×Dic47—41no—
406C22×Dic47—41no—
407C22×Dic47—41no—
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C2×D188—41no—
421C2×D188—41no—
422C2×D188—41no—
423C2×D188—41no—
424C2×D188—41no—
425C2×D188—41no—
426C2×D188—41no—
427C2×D188—41no—
428C2×D188—41no—
429C2×D188—41no—
430C2×D188C22×C414yes—
431C2×D188C22×C414yes—
432C2×D188C22×C414yes—
433C2×D188C22×C414yes—
434C2×D188C22×C414yes—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—41no—
440C2×C4×D47—41no—
441C2×C4×D47—41no—
442C2×C4×D47—41no—
443C2×C4×D47—41no—
444C2×C4×D47—41no—
445C2×C4×D47—41no—
446C2×C4×D47—41no—
447C2×C4×D47—41no—
448C2×C4×D47—41no—
449C2×C4×D47—41no—
450C2×C4×D47—41no—
451C2×C4×D47—41no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47C22×C414yes—
462C2×C4×D47C22×C414yes—
463C2×C4×D47C22×C414yes—
464C2×C4×D47C22×C414yes—
465C2×Dic94—41no—
466C2×Dic94—41no—
467C2×Dic94C22×C414yes—
468C4⋊C4×C47—22no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47C22×C414yes—
474C4⋊C4×C47C22×C414yes—
475C4⋊C4×C47C22×C414yes—
476C22⋊C4×C47—41no—
477C22⋊C4×C47—41no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47C22×C414yes—
480C22⋊C4×C47C22×C414yes—
481C22⋊C4×C47C22×C414yes—
482C42×C47—22no—
483C42×C47—41no—
484C42×C47—41no—
485C42×C47—41no—
486C42×C47—41no—
487C42×C47—41no—
488C42×C47—41no—
489C42×C47C22×C414yes—
490C22⋊Dic47—22no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493C22⋊Dic47C22×C414yes—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—22no—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—41no—
499(C2×D47)⋊C4—41no—
500(C2×D47)⋊C4—41no—
501(C2×D47)⋊C4—41no—
502(C2×D47)⋊C4—41no—
503(C2×D47)⋊C4—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
507(C2×D47)⋊C4—41no—
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)⋊C4C22×C414yes—
521(C2×D47)⋊C4C22×C414yes—
522(C2×D47)⋊C4C22×C414yes—
523(C2×D47)⋊C4C22×C414yes—
524(C2×D47)⋊C4C22×C414yes—
525(C2×D47)⋊C4C22×C414yes—
526(C2×D47)⋊C4C22×C414yes—
527(C2×D47)⋊C4C22×C414yes—
528(C2×D47)⋊C4C22×C414yes—
529(C2×D47)⋊C4C22×C414yes—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47C22×C414yes—
536Dic47⋊C4—22no—
537Dic47⋊C4—22no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4C22×C414yes—
547Dic47⋊C4C22×C414yes—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—41no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47C22×C414yes—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47C23×C412yes—
569C23×C47C2511yescharacteristic
570C22×D47—21no—
571C22×D47—21no—
572C22×D47—21no—
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
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—44no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—82no—
598C22×D47—82no—
599C22×D47—82no—
600C22×D47—82no—
601C22×D47C23×C412yes—
602C22×D47C23×C412yes—
603C22×D47C23×C412yes—
604C22×D47C23×C412yes—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
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—82no—
641C2×C4×C47C23×C412yes—
642C2×C4×C47C23×C412yes—
643C2×C4×C47C23×C412yes—
644C2×C4×C47C23×C412yes—
645C2×C4×C47C23×C412yes—
646C2×C4×C47C23×C412yes—
647C2×C4×C47H(5,𝔽2)12yes—
648C22⋊D47—44no—
649C22⋊D47—44no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
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—82no—
682C2×Dic47C23×C412yes—
683C2×Dic47C23×C412yes—
684C2×Dic47C23×C412yes—
685C2×Dic47C23×C412yes—
686C2×Dic47H(5,𝔽2)12yes—
687D188—44no—
688D188—44no—
689D188—44no—
690D188—44no—
691D188—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698C4×D47—82no—
699C4×D47—82no—
700C4×D47—82no—
701C4×D47—82no—
702Dic94—44no—
703#34451—471nomaximal, Sylow
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47C24×C411yescharacteristic
712C22×C47C2×H(5,𝔽2)11yescharacteristic
713C22×C47C2×H(5,𝔽2)11yescharacteristic
714C22×C47#58511yescharacteristic
715C22×C47#58511yescharacteristic
716C22×C47#58511yescharacteristic
717C22×C47#58511yescharacteristic
718C2×D47—22no—
719C2×D47—22no—
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—88no—
747C4×C47—22no—
748C4×C47—22no—
749C4×C47—22no—
750C4×C47—22no—
751C4×C47—22no—
752C4×C47—22no—
753C4×C47—22no—
754C4×C47—41no—
755C4×C47—41no—
756C4×C47—41no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761Dic47—22no—
762Dic47—22no—
763Dic47—22no—
764Dic47—22no—
765Dic47—22no—
766Dic47—41no—
767Dic47—41no—
768Dic47—41no—
769Dic47—41no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773C2×#538—471no—
774#2383—471no—
775#2378—471no—
776#2376—471no—
777#2375—471no—
778#2373—471no—
779#2373—471no—
780#2373D4711yescharacteristic, complemented
781#2372—471no—
782#2367—471no—
783#2362—471no—
784#2359—471no—
785#2358—471no—
786#2354—471no—
787#2353—471no—
788#2342—471no—
789#2342—471no—
790#2337—471no—
791#2335—471no—
792#2333—471no—
793#2333—471no—
794#2326—471no—
795#2325—471no—
796#2324—471no—
797#2324—471no—
798#2321—471no—
799#2321—471no—
800#2319—471no—
801C4×#123—471no—
802C4×#121—471no—
803#2290—471no—
804C2×C47—42no—
805C2×C47#342811yescharacteristic
806C2×C47C4×H(5,𝔽2)11yescharacteristic
807C2×C47C4×H(5,𝔽2)11yescharacteristic
808C2×C47#353311yescharacteristic
809C2×C47#354211yescharacteristic
810C2×C47#355111yescharacteristic
811C2×C47#356811yescharacteristic
812D47—42no—
813D47—42no—
814D47—42no—
815D47—42no—
816#538—4716no—
817C2×#126—471no—
818C2×#126C2×D4711yescharacteristic
819C2×#124—471no—
820C2×#124—471no—
821C2×#123—471no—
822C2×#123—471no—
823C2×C22⋊Q8—471no—
824C2×#121—471no—
825C2×#121—471no—
826C2×#121—471no—
827C2×#120—471no—
828C2×#120—471no—
829C2×C4×Q8—471no—
830C2×C4×D4—471no—
831C2×C4×D4—471no—
832C2×C4×D4—471no—
833C2×C4×D4—471no—
834C2×C4×D4—471no—
835C2×C4×D4—471no—
836C2×C4×D4—471no—
837C2×#117—471no—
838C2×#117—471no—
839C2×#117—471no—
840C22×C22⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C42—471no—
844#391—471no—
845#391—471no—
846#391—471no—
847#390—471no—
848#390—471no—
849#390—471no—
850#390—471no—
851#390—471no—
852#390—471no—
853#390—471no—
854#390—471no—
855#390—471no—
856#389—471no—
857#389—471no—
858#389—471no—
859#389—471no—
860#389—471no—
861#389C2×D4711yescharacteristic, complemented
862#388—471no—
863#388—471no—
864#388—471no—
865#388—471no—
866#388—471no—
867#388—471no—
868#388—471no—
869#388—471no—
870#388—471no—
871#388—471no—
872#388—471no—
873#388—471no—
874#388—471no—
875#388—471no—
876#388—471no—
877#388—471no—
878#388—471no—
879#388—471no—
880#388—471no—
881#388—471no—
882#388—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#388C2×D4711yescharacteristic
892#388C2×D4711yescharacteristic
893#388C2×D4711yescharacteristic
894#387—471no—
895#387—471no—
896#387—471no—
897#387—471no—
898#387—471no—
899#387—471no—
900#387—471no—
901#387—471no—
902#387—471no—
903#387C2×D4711yescharacteristic, complemented
904#387C2×D4711yescharacteristic, complemented
905#387C2×D4711yescharacteristic, complemented
906#386—471no—
907#386—471no—
908#386—471no—
909#386—471no—
910#386—471no—
911#386—471no—
912#386—471no—
913#386—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#385—471no—
921#385—471no—
922#385—471no—
923#385—471no—
924#385—471no—
925#385—471no—
926#385—471no—
927#385—471no—
928#385—471no—
929#385—471no—
930#385—471no—
931#385C2×D4711yescharacteristic
932#384—471no—
933#383—471no—
934#381—471no—
935#381—471no—
936#381—471no—
937#380—471no—
938#380—471no—
939#380—471no—
940#380—471no—
941#380—471no—
942#379—471no—
943#379—471no—
944C4×C4⋊C4—471no—
945C4×C4⋊C4—471no—
946C4×C4⋊C4—471no—
947C4×C4⋊C4—471no—
948C4×C4⋊C4—471no—
949C4×C4⋊C4—471no—
950C4×C4⋊C4C2×D4711yescharacteristic, complemented
951C4×C4⋊C4C2×D4711yescharacteristic, complemented
952C4×C4⋊C4C2×D4711yescharacteristic, complemented
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C4×C22⋊C4—471no—
956C4×C22⋊C4—471no—
957C4×C22⋊C4—471no—
958C4×C22⋊C4—471no—
959C4×C22⋊C4—471no—
960C4×C22⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4C2×D4711yescharacteristic
967C4×C22⋊C4C2×D4711yescharacteristic
968#376—471no—
969#376—471no—
970#376C2×D4711yescharacteristic, complemented
971C2×#95—471no—
972C47#3445111yescharacteristic, complemented, Sylow
973C25—471no—
974C22×Q8—471no—
975C22×D4—471no—
976C22×D4—471no—
977C22×D4—471no—
978C22×D4—471no—
979C22×D4—471no—
980C22×D4—471no—
981C22×D4—471no—
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—471no—
988C23×C4—471no—
989C23×C4—471no—
990C23×C4—471no—
991C23×C4—471no—
992C23×C4—471no—
993C23×C4C22×D4711yescharacteristic
994#126—478no—
995#126C4×D4718yescomplemented
996#124—478no—
997#124—478no—
998#123—478no—
999#123—478no—
1000C22⋊Q8—478no—
1001#121—478no—
1002#121—478no—
1003#121—478no—
1004#120—478no—
1005#120—478no—
1006C4×Q8—1882no—
1007C4×D4—478no—
1008C4×D4—478no—
1009C4×D4—1882no—
1010C4×D4—1882no—
1011C4×D4—1882no—
1012C4×D4—1882no—
1013C4×D4—1882no—
1014#117—1882no—
1015#117—1882no—
1016#117—1882no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C4⋊C4C22×D4711yescharacteristic
1037C2×C4⋊C4C22×D4711yescharacteristic
1038C2×C4⋊C4C22×D4711yescharacteristic
1039C2×C4⋊C4C22×D4711yescharacteristic
1040C2×C4⋊C4C22×D4711yescharacteristic
1041C2×C4⋊C4C22×D4711yescharacteristic
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—478no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—1882no—
1085C2×C22⋊C4—1882no—
1086C2×C22⋊C4C22×D4711yescharacteristic
1087C2×C22⋊C4C22×D4711yescharacteristic
1088C2×C22⋊C4C22×D4711yescharacteristic
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4C22×D4711yescharacteristic
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—471no—
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—471no—
1099C2×C42—471no—
1100C2×C42—471no—
1101C2×C42—471no—
1102C2×C42—471no—
1103C2×C42—471no—
1104C2×C42—471no—
1105C2×C42—471no—
1106C2×C42—1882no—
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
1114C2×C42C22×D4711yescharacteristic
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155C24—471no—
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—474no—
1160C24—1881no—
1161C24—1881no—
1162C24—1881no—
1163C24—1881no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C2×Q8—474no—
1168C2×Q8—1881no—
1169C2×Q8—1881no—
1170C2×D4—474no—
1171C2×D4—474no—
1172C2×D4—474no—
1173C2×D4—474no—
1174C2×D4—474no—
1175C2×D4—474no—
1176C2×D4—474no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C2×D4—1881no—
1180C2×D4—1881no—
1181C2×D4—1881no—
1182C2×D4—1881no—
1183C2×D4—1881no—
1184C2×D4—1881no—
1185C2×D4—1881no—
1186C2×D4—1881no—
1187C2×D4—1881no—
1188C2×D4—1881no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—471no—
1199C22×C4—474no—
1200C22×C4—474no—
1201C22×C4—474no—
1202C22×C4—474no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—1881no—
1215C22×C4—1881no—
1216C22×C4—1881no—
1217C22×C4—1881no—
1218C22×C4—1881no—
1219C22×C4—1881no—
1220C22×C4—1881no—
1221C22×C4—1881no—
1222C22×C4—1881no—
1223C22×C4—1881no—
1224C22×C4—1881no—
1225C22×C4—1881no—
1226C22×C4—1881no—
1227C22×C4—1881no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—474no—
1259C4⋊C4—474no—
1260C4⋊C4—474no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—1881no—
1264C4⋊C4—1881no—
1265C4⋊C4—1881no—
1266C4⋊C4—1881no—
1267C4⋊C4—1881no—
1268C4⋊C4—1881no—
1269C4⋊C4—1881no—
1270C4⋊C4—1881no—
1271C4⋊C4—1881no—
1272C4⋊C4—1881no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4C2×C4×D4714yes—
1277C4⋊C4C2×C4×D4714yes—
1278C4⋊C4C2×C4×D4714yes—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—474no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
1286C22⋊C4—474no—
1287C22⋊C4—474no—
1288C22⋊C4—474no—
1289C22⋊C4—474no—
1290C22⋊C4—474no—
1291C22⋊C4—474no—
1292C22⋊C4—474no—
1293C22⋊C4—942no—
1294C22⋊C4—942no—
1295C22⋊C4—942no—
1296C22⋊C4—942no—
1297C22⋊C4—942no—
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⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4C2×C4×D4714yes—
1323C22⋊C4C2×C4×D4714yes—
1324C22⋊C4C2×C4×D4714yes—
1325C42—22no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—474no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—1881no—
1338C42—1881no—
1339C42—1881no—
1340C42—1881no—
1341C42—1881no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42C2×C4×D4714yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—472no—
1354C23—472no—
1355C23—472no—
1356C23—472no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—3762no—
1382C23—3762no—
1383C23—3762no—
1384C23—3762no—
1385C23—1884no—
1386C23—1884no—
1387C23—1884no—
1388C23C22×C4×D4712yes—
1389C23C24×D4711yescharacteristic
1390Q8—1884no—
1391D4—1884no—
1392D4—1884no—
1393D4—1884no—
1394D4—1884no—
1395D4—1884no—
1396D4—1884no—
1397D4—1884no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—82no—
1434C2×C4—472no—
1435C2×C4—472no—
1436C2×C4—472no—
1437C2×C4—472no—
1438C2×C4—472no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—3762no—
1471C2×C4—3762no—
1472C2×C4—3762no—
1473C2×C4—3762no—
1474C2×C4—3762no—
1475C2×C4—1884no—
1476C2×C4—1884no—
1477C2×C4—1884no—
1478C2×C4—1884no—
1479C2×C4—1884no—
1480C2×C4—1884no—
1481C2×C4C22×C4×D4712yes—
1482C2×C4C22×C4×D4712yes—
1483C2×C4C22×C4×D4712yes—
1484C2×C4C22×C4×D4712yes—
1485C2×C4C22×C4×D4712yes—
1486C2×C4C22×C4×D4712yes—
1487C2×C4#1309407012yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—942no—
1496C22—942no—
1497C22—942no—
1498C22—942no—
1499C22—942no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—942no—
1505C22—942no—
1506C22—942no—
1507C22—3768no—
1508C22—1881no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22—1881no—
1514C22—1881no—
1515C22—1881no—
1516C22—1881no—
1517C22—1881no—
1518C22—1881no—
1519C22—1881no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22C23×C4×D4711yescharacteristic
1525C22H(5,𝔽2)×D4711yescharacteristic
1526C22C2×#1309407011yescharacteristic
1527C22#1568995911yescharacteristic
1528C22#1568995911yescharacteristic
1529C22#1568995911yescharacteristic
1530C22#1568996011yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—942no—
1546C4—942no—
1547C4—942no—
1548C4—942no—
1549C4—942no—
1550C4—1881no—
1551C4—1881no—
1552C4—1881no—
1553C4—1881no—
1554C4—1881no—
1555C4—1881no—
1556C4—1881no—
1557C2—42no—
1558C2—1882no—
1559C2—1882no—
1560C2—1882no—
1561C2—1882no—
1562C2#2025658711yescharacteristic
1563C2#2025659411yescharacteristic
1564C2C4×#1309407011yescharacteristic
1565C2#2025754611yescharacteristic
1566C2#2025769711yescharacteristic
1567C2#2025781611yescharacteristic
1568C2#2025808311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2373C2
socle, cosocleC23×C47C25
prime radicalC2×#15689712C2
hypercenter#2373D47
hypocenterC47#34451
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #20246578C2semidirect
3. #20246550C2semidirect
4. #20246530C2semidirect
5. #20246528C2semidirect
6. #20246512C2semidirect
7. #20246502C2semidirect
8. #20246498C2semidirect
9. #20246459C2semidirect
10. #20246410C2semidirect
11. #20246381C2semidirect
12. #20246364C2semidirect
13. #20246333C2semidirect
14. #20246327C2semidirect
15. #20246232C2semidirect
16. #20246231C2semidirect
17. #20246199C2semidirect
18. #20246172C2semidirect
19. #20246152C2semidirect
20. #20246151C2semidirect
21. #20246094C2semidirect
22. #20246087C2semidirect
23. #20246082C2semidirect
24. #20246079C2semidirect
25. #20246048C2semidirect
26. #20246041C2semidirect
27. #20246032C2semidirect
28. #20245909C2semidirect
29. C4×#13093997C2semidirect
30. #20245829C2semidirect
31. C47×#2373C2semidirect
32. #15689712C4semidirect
44. C2×#13093989C22semidirect
46. C2×C4×D188C22semidirect
54. C2×#13093981C22semidirect
58. C2×C42×D47C22semidirect
59. #15689028C22semidirect
60. #15689027C22semidirect
61. #15689027C22semidirect
68. #15689024C22semidirect
71. #15689022C22semidirect
72. #15689021C22semidirect
73. #15689021C22semidirect
74. #15689020C22semidirect
75. #15689020C22semidirect
83. #15689015C22semidirect
89. #15689014C22semidirect
90. #15689014C22semidirect
91. #15689014C22semidirect
95. #15689013C22semidirect
101. #15689012C22semidirect
102. #15689012C22semidirect
103. #15689012C22semidirect
105. #15689009C22semidirect
106. #15689009C22semidirect
107. #15689009C22semidirect
108. #15689007C22semidirect
109. #15689006C22semidirect
110. #15689006C22semidirect
111. #15689005C22semidirect
112. #15689004C22semidirect
113. #15689004C22semidirect
122. #15689001C22semidirect
123. #15689001C22semidirect
131. #15688997C22semidirect
132. #15688997C22semidirect
137. #15688994C22semidirect
138. #15688994C22semidirect
139. #15688992C22semidirect
140. #15688990C22semidirect
143. #15688985C22semidirect
145. #15688982C22semidirect
146. #15688982C22semidirect
148. #15688980C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4×Dic47⋊C4C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×C4⋊Dic47C22semidirect
156. #15688974C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688969C22semidirect
171. #15688968C22semidirect
172. #95×D47C22semidirect
174. C47×#389C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
184. C4×C4⋊C4×C47C22semidirect
187. C47×#376C22semidirect
208. #13094019C2×C4semidirect
209. #13094012C2×C4semidirect
210. #13094010C2×C4semidirect
211. #13094009C2×C4semidirect
212. #13094006C2×C4semidirect
213. #13094002C2×C4semidirect
214. #13093999C2×C4semidirect
215. #13093999C2×C4semidirect
216. #13093997C2×C4semidirect
217. #13093994C2×C4semidirect
218. #13093994C2×C4semidirect
221. C4×D188C2×C4semidirect
224. #13093986C2×C4semidirect
290. C22⋊C4×D47C2×C4semidirect
335. #126×C47C2×C4semidirect
780. #2373D47semidirect
861. #389C2×D47semidirect
903. #387C2×D47semidirect
904. #387C2×D47semidirect
905. #387C2×D47semidirect
950. C4×C4⋊C4C2×D47semidirect
951. C4×C4⋊C4C2×D47semidirect
952. C4×C4⋊C4C2×D47semidirect
970. #376C2×D47semidirect
972. C47#34451semidirect
995. #126C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897122
#202465782
#202465502
#202465302
#202465282
#202465122
#202465022
#202464982
#202464592
#202464102
#202463812
#202463642
#202463332
#202463272
#202462322
#202462312
#202461992
#202461722
#202461522
#202461512
#202460942
#202460872
#202460822
#202460792
#202460482
#202460412
#202460322
#202459092
C4×#130939972
#202458292
C47×#23732
#3445147