Finite Group Databasebeta

← #26379820

Subgroups — #26379820

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×#15689711C211yesmaximal, characteristic
2#20246576C211yesmaximal, characteristic, complemented
3#20246561C211yesmaximal, characteristic, complemented
4#20246544C211yesmaximal, characteristic, complemented
5#20246537C211yesmaximal, characteristic, complemented
6#20246503C211yesmaximal, characteristic, complemented
7#20246468C211yesmaximal, characteristic, complemented
8#20246456C211yesmaximal, characteristic, complemented
9#20246435C211yesmaximal, characteristic, complemented
10#20246407C211yesmaximal, characteristic, complemented
11#20246404C211yesmaximal, characteristic, complemented
12#20246393C211yesmaximal, characteristic, complemented
13#20246383C211yesmaximal, characteristic, complemented
14#20246324C211yesmaximal, characteristic, complemented
15#20246313C211yesmaximal, characteristic, complemented
16#20246295C211yesmaximal, characteristic, complemented
17C4⋊C4×C22⋊D47C211yesmaximal, characteristic, complemented
18#20246202C211yesmaximal, characteristic, complemented
19#20246173C211yesmaximal, characteristic, complemented
20#20246164C211yesmaximal, characteristic, complemented
21#20246158C211yesmaximal, characteristic, complemented
22#20246094C211yesmaximal, characteristic, complemented
23#20246085C211yesmaximal, characteristic, complemented
24#20246080C211yesmaximal, characteristic, complemented
25#20246055C211yesmaximal, characteristic, complemented
26#20246046C211yesmaximal, characteristic, complemented
27#20246046C211yesmaximal, characteristic, complemented
28#20245986C211yesmaximal, characteristic, complemented
29C4×#13093993C211yesmaximal, characteristic, complemented
30C4×#13093993C211yesmaximal, characteristic, complemented
31C2×C47×#385C211yesmaximal, characteristic, complemented
32#15689711C4116yescomplemented
33C2×#13094017C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094003C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093993C2211yescharacteristic
44C2×#13093993C2211yescharacteristic
45C2×#13093989C2211yescharacteristic, complemented
46C2×#13093986C2211yescharacteristic, complemented
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×#13093982C2211yescharacteristic, complemented
58C2×C4⋊C4×D47C2211yescharacteristic, complemented
59#15689028C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689027C2211yescharacteristic, complemented
62#15689024C2211yescharacteristic, complemented
63#15689023C2211yescharacteristic
64#15689023C2211yescharacteristic
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689020C2211yescharacteristic, complemented
68#15689020C2211yescharacteristic, complemented
69#15689019C2211yescharacteristic, complemented
70#15689019C2211yescharacteristic, complemented
71#15689018C2211yescharacteristic, complemented
72#15689018C2211yescharacteristic, complemented
73#15689018C2211yescharacteristic, complemented
74#15689018C2211yescharacteristic, complemented
75#15689017C2211yescharacteristic
76#15689017C2211yescharacteristic
77#15689017C2211yescharacteristic
78#15689017C2211yescharacteristic
79#15689016C2211yescharacteristic
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689016C2211yescharacteristic
84#15689016C2211yescharacteristic
85#15689016C2211yescharacteristic
86#15689016C2211yescharacteristic
87#15689015C2211yescharacteristic, complemented
88#15689015C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic, complemented
90#15689013C2211yescharacteristic, complemented
91#15689013C2211yescharacteristic, complemented
92#15689013C2211yescharacteristic, complemented
93#15689012C2211yescharacteristic, complemented
94#15689012C2211yescharacteristic, complemented
95#15689011C2211yescharacteristic
96#15689011C2211yescharacteristic
97#15689011C2211yescharacteristic
98#15689011C2211yescharacteristic
99#15689010C2211yescharacteristic, complemented
100#15689010C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689008C2211yescharacteristic, complemented
103#15689006C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689005C2211yescharacteristic, complemented
107#15689004C2211yescharacteristic, complemented
108#15689004C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689002C2211yescharacteristic
112#15689002C2211yescharacteristic
113#15689002C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689002C2211yescharacteristic
118#15689002C2211yescharacteristic
119#15689001C2211yescharacteristic, complemented
120#15689001C2211yescharacteristic, complemented
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688997C2211yescharacteristic, complemented
126#15688997C2211yescharacteristic, complemented
127#15688996C2211yescharacteristic
128#15688996C2211yescharacteristic
129#15688996C2211yescharacteristic
130#15688996C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688994C2211yescharacteristic, complemented
136#15688994C2211yescharacteristic, complemented
137#15688994C2211yescharacteristic, complemented
138#15688994C2211yescharacteristic, complemented
139#15688992C2211yescharacteristic, complemented
140#15688990C2211yescharacteristic, complemented
141#15688988C2211yescharacteristic, complemented
142#15688987C2211yescharacteristic, complemented
143#15688985C2211yescharacteristic, complemented
144#15688983C2211yescharacteristic
145#15688983C2211yescharacteristic
146#15688982C2211yescharacteristic, complemented
147#15688980C2211yescharacteristic, complemented
148#15688980C2211yescharacteristic, complemented
149#15688979C2211yescharacteristic
150#15688979C2211yescharacteristic
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158C4×C22⋊Dic47C2211yescharacteristic
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161C4×C22⋊Dic47C2211yescharacteristic
162C4×C22⋊Dic47C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688968C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C24×C4×C47C2211yescharacteristic
174C22×C4⋊C4×C47C2211yescharacteristic
175C22×C4⋊C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#385C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202#13094017C2×C418yescomplemented
203#13094017C2×C418yescomplemented
204#13094010C2×C418yescomplemented
205#13094010C2×C418yescomplemented
206#13094006C2×C418yescomplemented
207#13094006C2×C418yescomplemented
208#13094003C2×C418yescomplemented
209#13093998C2×C418yescomplemented
210#13093997C2×C418yescomplemented
211#13093997C2×C418yescomplemented
212#13093993C2×C418yescomplemented
213#13093993C2×C418yescomplemented
214#13093989—42no—
215#13093986—42no—
216C4×C22⋊D47—42no—
217C4×C22⋊D47—42no—
218C4×C22⋊D47—42no—
219C4×C22⋊D47—42no—
220C4×C22⋊D47—42no—
221C4×C22⋊D47—42no—
222C4×C22⋊D47—42no—
223C4×C22⋊D47—42no—
224C4×C22⋊D47C2×C418yescomplemented
225C4×C22⋊D47C2×C418yescomplemented
226#13093982—42no—
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
249C4⋊C4×D47—42no—
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×(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×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
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
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
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
334C25×C47C2311yescharacteristic
335C23×C4×C47—42no—
336C23×C4×C47—42no—
337C23×C4×C47—42no—
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47—42no—
349C2×C4⋊C4×C47—42no—
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×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47—42no—
359C2×C22⋊C4×C47C2×C418yescomplemented
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
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×C47—22no—
377C24×C47—22no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C22×C414yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—416no—
417C22×C4×C47C22×C414yes—
418C22×C4×C47C22×C414yes—
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47C22×C414yes—
444C2×C22⋊D47C22×C414yes—
445C2×C22⋊D47C22×C414yes—
446C2×C22⋊D47C22×C414yes—
447C2×C22⋊D47C22×C414yes—
448C2×C22⋊D47C22×C414yes—
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C2×D188—41no—
464C2×D188—41no—
465C2×D188C22×C414yescomplemented
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47C22×C414yescomplemented
483C2×C4×D47C22×C414yescomplemented
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47C22×C414yes—
500C22⋊C4×C47C22×C414yes—
501C22⋊C4×C47C22×C414yes—
502C22⋊C4×C47C22×C414yes—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47C22×C414yes—
516C22⋊Dic47C22×C414yes—
517C22⋊Dic47C22×C414yes—
518C22⋊Dic47C22×C414yes—
519C22⋊Dic47C22×C414yes—
520C22⋊Dic47C22×C414yes—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
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)⋊C4C22×C414yescomplemented
534(C2×D47)⋊C4C22×C414yescomplemented
535(C2×D47)⋊C4C22×C414yescomplemented
536(C2×D47)⋊C4C22×C414yescomplemented
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541C4⋊Dic47C22×C414yescomplemented
542C4⋊Dic47C22×C414yescomplemented
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4C22×C414yescomplemented
556Dic47⋊C4C22×C414yescomplemented
557Dic47⋊C4C22×C414yescomplemented
558Dic47⋊C4C22×C414yescomplemented
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C4×Dic47—41no—
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×C47—28no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—44no—
595C23×C47—44no—
596C23×C47—44no—
597C23×C47—44no—
598C23×C47—44no—
599C23×C47—44no—
600C23×C47C23×C412yes—
601C23×C47C23×C412yes—
602C23×C47C23×C412yes—
603C23×C47H(5,𝔽2)12yes—
604C23×C472−1+412yes—
605C23×C47C2511yescharacteristic
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47C23×C412yes—
619C22×D47C23×C412yes—
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—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—44no—
651C2×C4×C47—44no—
652C2×C4×C47—44no—
653C2×C4×C47—44no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47—44no—
657C2×C4×C47—44no—
658C2×C4×C47—82no—
659C2×C4×C47—82no—
660C2×C4×C47C23×C412yes—
661C2×C4×C47C23×C412yes—
662C2×C4×C47C23×C412yes—
663C2×C4×C47C23×C412yes—
664C2×C4×C47H(5,𝔽2)12yes—
665C2×C4×C47H(5,𝔽2)12yes—
666C22⋊D47—28no—
667C22⋊D47—28no—
668C22⋊D47—44no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
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—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47C23×C412yes—
709C2×Dic47C23×C412yes—
710C2×Dic47C23×C412yes—
711C2×Dic47C23×C412yes—
712C2×Dic47C23×C412yes—
713C2×Dic47C23×C412yes—
714D188—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721Dic94—44no—
722#34416—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—416no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47#52014yes—
745C22×C47C24×C411yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×2−1+411yescharacteristic
750C22×C47#58511yescharacteristic
751C22×C47#58511yescharacteristic
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
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—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—41no—
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#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×#385D4711yescharacteristic, complemented
823C2×C47—24no—
824C2×C47—42no—
825C2×C47—42no—
826C2×C47C2×#52011yescharacteristic
827C2×C47C4×H(5,𝔽2)11yescharacteristic
828C2×C47C4×H(5,𝔽2)11yescharacteristic
829C2×C47#353211yescharacteristic
830C2×C47#353311yescharacteristic
831C2×C47#354111yescharacteristic
832C2×C47#354111yescharacteristic
833D47—42no—
834D47—42no—
835C24×C4C2×D4711yescharacteristic
836#538—4716no—
837C2×#126—471no—
838C2×#126—471no—
839C2×#124—471no—
840C2×#124—471no—
841C2×#123—471no—
842C2×#123—471no—
843C2×C22⋊Q8—471no—
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⋊C4C2×D4711yescharacteristic
864C22×C4⋊C4C2×D4711yescharacteristic
865C22×C22⋊C4C2×D4711yescharacteristic
866C22×C22⋊C4C2×D4711yescharacteristic
867#391—471no—
868#391—471no—
869#391—471no—
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#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
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#385C2×D4711yescharacteristic
948#385C2×D4711yescharacteristic
949#385C2×D4711yescharacteristic
950#385C2×D4711yescharacteristic
951#385C2×D4711yescharacteristic
952#385C2×D4711yescharacteristic
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⋊C4—471no—
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⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987#376—471no—
988C2×#95—471no—
989C2×#95C2×D4711yescharacteristic
990C2×#95C2×D4711yescharacteristic
991C47#3441611yescharacteristic, complemented, Sylow
992C25C22×D4711yescharacteristic
993C22×Q8—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C23×C4—42no—
1002C23×C4—42no—
1003C23×C4—42no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4C22×D4711yescharacteristic
1011C23×C4C22×D4711yescharacteristic
1012C23×C4C22×D4711yescharacteristic
1013C23×C4C22×D4711yescharacteristic
1014C23×C4C22×D4711yescharacteristic
1015C23×C4C22×D4711yescharacteristic
1016C23×C4C22×D4711yescharacteristic
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⋊Q8—478no—
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—42no—
1046C2×C4⋊C4—42no—
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—471no—
1069C2×C4⋊C4—1882no—
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—42no—
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⋊C4C4×D4718yescomplemented
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
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#95—471no—
1171#95—471no—
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—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—471no—
1187C24—471no—
1188C24C2×C4×D4714yes—
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C2×Q8—474no—
1193C2×Q8—1881no—
1194C2×Q8—1881no—
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—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—416no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—474no—
1252C22×C4—474no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4C2×C4×D4714yes—
1278C22×C4C2×C4×D4714yes—
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—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—474no—
1303C4⋊C4—474no—
1304C4⋊C4—474no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
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⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
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—942no—
1340C22⋊C4—942no—
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⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C22⋊C4C2×C4×D4714yes—
1362C22⋊C4C2×C4×D4714yes—
1363C42—474no—
1364C42—474no—
1365C42—942no—
1366C42—942no—
1367C42—1881no—
1368C42—1881no—
1369C42—1881no—
1370C42—1881no—
1371C42—1881no—
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—28no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—472no—
1405C23—472no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23C22×C4×D4712yes—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23#1309406912yes—
1422C23#1309407212yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
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—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—472no—
1476C2×C4—472no—
1477C2×C4—472no—
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—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—3762no—
1515C2×C4—3762no—
1516C2×C4—3762no—
1517C2×C4—3762no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4C22×C4×D4712yes—
1524C2×C4#1309406912yes—
1525C2×C4#1309406912yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22#1568960414yes—
1562C22C23×C4×D4711yescharacteristic
1563C22C2×#1309406911yescharacteristic
1564C22C2×#1309406911yescharacteristic
1565C22C2×#1309406911yescharacteristic
1566C22C2×#1309407211yescharacteristic
1567C22#1568995911yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—1882no—
1599C2—1882no—
1600C2C2×#1568960411yescharacteristic
1601C2C4×#1309406911yescharacteristic
1602C2C4×#1309406911yescharacteristic
1603C2#2025754311yescharacteristic
1604C2#2025755911yescharacteristic
1605C2#2025768511yescharacteristic
1606C2#2025768511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC2×C47×#385C2
socle, cosocleC23×C47C25
prime radicalC2×#15689711C2
hypercenterC2×#385D47
hypocenterC47#34416
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #20246576C2semidirect
3. #20246561C2semidirect
4. #20246544C2semidirect
5. #20246537C2semidirect
6. #20246503C2semidirect
7. #20246468C2semidirect
8. #20246456C2semidirect
9. #20246435C2semidirect
10. #20246407C2semidirect
11. #20246404C2semidirect
12. #20246393C2semidirect
13. #20246383C2semidirect
14. #20246324C2semidirect
15. #20246313C2semidirect
16. #20246295C2semidirect
17. C4⋊C4×C22⋊D47C2semidirect
18. #20246202C2semidirect
19. #20246173C2semidirect
20. #20246164C2semidirect
21. #20246158C2semidirect
22. #20246094C2semidirect
23. #20246085C2semidirect
24. #20246080C2semidirect
25. #20246055C2semidirect
26. #20246046C2semidirect
27. #20246046C2semidirect
28. #20245986C2semidirect
29. C4×#13093993C2semidirect
30. C4×#13093993C2semidirect
31. C2×C47×#385C2semidirect
32. #15689711C4semidirect
45. C2×#13093989C22semidirect
46. C2×#13093986C22semidirect
57. C2×#13093982C22semidirect
58. C2×C4⋊C4×D47C22semidirect
59. #15689028C22semidirect
60. #15689027C22semidirect
61. #15689027C22semidirect
62. #15689024C22semidirect
67. #15689020C22semidirect
68. #15689020C22semidirect
69. #15689019C22semidirect
70. #15689019C22semidirect
71. #15689018C22semidirect
72. #15689018C22semidirect
73. #15689018C22semidirect
74. #15689018C22semidirect
87. #15689015C22semidirect
88. #15689015C22semidirect
89. #15689013C22semidirect
90. #15689013C22semidirect
91. #15689013C22semidirect
92. #15689013C22semidirect
93. #15689012C22semidirect
94. #15689012C22semidirect
99. #15689010C22semidirect
100. #15689010C22semidirect
101. #15689008C22semidirect
102. #15689008C22semidirect
103. #15689006C22semidirect
104. #15689006C22semidirect
105. #15689005C22semidirect
106. #15689005C22semidirect
107. #15689004C22semidirect
108. #15689004C22semidirect
109. #15689004C22semidirect
110. #15689004C22semidirect
119. #15689001C22semidirect
120. #15689001C22semidirect
125. #15688997C22semidirect
126. #15688997C22semidirect
135. #15688994C22semidirect
136. #15688994C22semidirect
137. #15688994C22semidirect
138. #15688994C22semidirect
139. #15688992C22semidirect
140. #15688990C22semidirect
141. #15688988C22semidirect
142. #15688987C22semidirect
143. #15688985C22semidirect
146. #15688982C22semidirect
147. #15688980C22semidirect
148. #15688980C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. #15688974C22semidirect
156. #15688974C22semidirect
157. #15688974C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688968C22semidirect
172. #95×D47C22semidirect
202. #13094017C2×C4semidirect
203. #13094017C2×C4semidirect
204. #13094010C2×C4semidirect
205. #13094010C2×C4semidirect
206. #13094006C2×C4semidirect
207. #13094006C2×C4semidirect
208. #13094003C2×C4semidirect
209. #13093998C2×C4semidirect
210. #13093997C2×C4semidirect
211. #13093997C2×C4semidirect
212. #13093993C2×C4semidirect
213. #13093993C2×C4semidirect
224. C4×C22⋊D47C2×C4semidirect
225. C4×C22⋊D47C2×C4semidirect
359. C2×C22⋊C4×C47C2×C4semidirect
465. C2×D188C22×C4semidirect
482. C2×C4×D47C22×C4semidirect
483. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
533. (C2×D47)⋊C4C22×C4semidirect
534. (C2×D47)⋊C4C22×C4semidirect
535. (C2×D47)⋊C4C22×C4semidirect
536. (C2×D47)⋊C4C22×C4semidirect
541. C4⋊Dic47C22×C4semidirect
542. C4⋊Dic47C22×C4semidirect
555. Dic47⋊C4C22×C4semidirect
556. Dic47⋊C4C22×C4semidirect
557. Dic47⋊C4C22×C4semidirect
558. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
822. C2×#385D47semidirect
991. C47#34416semidirect
1113. C2×C22⋊C4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897112
#202465762
#202465612
#202465442
#202465372
#202465032
#202464682
#202464562
#202464352
#202464072
#202464042
#202463932
#202463832
#202463242
#202463132
#202462952
C4⋊C4×C22⋊D472
#202462022
#202461732
#202461642
#202461582
#202460942
#202460852
#202460802
#202460552
#202460462
#202459862
C4×#130939932
C2×C47×#3852
#3441647