Finite Group Databasebeta

← C4×#15689799 #26376150

Subgroups — C4×#15689799 #26376150

Order 12032.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689799C211yesmaximal, characteristic
2#20246522C211yesmaximal, characteristic, complemented
3#20246510C211yesmaximal, characteristic, complemented
4#20246509C211yesmaximal, characteristic, complemented
5#20246496C211yesmaximal, characteristic, complemented
6#20246468C211yesmaximal, characteristic, complemented
7#20246466C211yesmaximal, characteristic, complemented
8#20246382C211yesmaximal, characteristic, complemented
9#20246376C211yesmaximal, characteristic, complemented
10#20246367C211yesmaximal, characteristic
11#20246324C211yesmaximal, characteristic, complemented
12#20246322C211yesmaximal, characteristic, complemented
13#20246244C211yesmaximal, characteristic, complemented
14#20246242C211yesmaximal, characteristic, complemented
15#20246237C211yesmaximal, characteristic, complemented
16#20246233C211yesmaximal, characteristic, complemented
17C4×#13094017C211yesmaximal, characteristic, complemented
18C4×#13094017C211yesmaximal, characteristic, complemented
19C4×#13094010C211yesmaximal, characteristic, complemented
20C4×#13094003C211yesmaximal, characteristic, complemented
21C4×#13094001C211yesmaximal, characteristic, complemented
22C4×#13094008C211yesmaximal, characteristic, complemented
23C4×#13094007C211yesmaximal, characteristic, complemented
24C4×#13094006C211yesmaximal, characteristic, complemented
25C4×#13093993C211yesmaximal, characteristic
26C42×C22⋊D47C211yesmaximal, characteristic, complemented
27C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
28C4×#13093983C211yesmaximal, characteristic, complemented
29C4×#13093980C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic47C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C47C211yesmaximal, characteristic, complemented
32#15689799C4116yesdirect product factor
33C2×#13094017C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094003C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13093993C2211yescharacteristic
42C2×C4×Dic94C2211yescharacteristic, complemented
43C2×C4×C22⋊D47C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×#13093983C2211yescharacteristic
51C2×#13093983C2211yescharacteristic
52C2×#13093980C2211yescharacteristic
53C2×#13093980C2211yescharacteristic
54C22×C22⋊Dic47C2211yescharacteristic
55C22×C22⋊Dic47C2211yescharacteristic
56C22×C4×Dic47C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic, complemented
59#15689029C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689027C2211yescharacteristic, complemented
62#15689023C2211yescharacteristic
63#15689021C2211yescharacteristic, complemented
64#15689020C2211yescharacteristic, complemented
65#15689017C2211yescharacteristic
66#15689017C2211yescharacteristic
67#15689017C2211yescharacteristic
68#15689016C2211yescharacteristic
69#15689016C2211yescharacteristic
70#15689016C2211yescharacteristic
71#15689016C2211yescharacteristic
72#15689015C2211yescharacteristic, complemented
73#15689015C2211yescharacteristic, complemented
74#15689015C2211yescharacteristic, complemented
75#15689014C2211yescharacteristic, complemented
76#15689014C2211yescharacteristic, complemented
77#15689012C2211yescharacteristic, complemented
78#15689011C2211yescharacteristic
79#15689011C2211yescharacteristic
80#15689011C2211yescharacteristic
81#15689010C2211yescharacteristic, complemented
82#15689010C2211yescharacteristic, complemented
83#15689010C2211yescharacteristic, complemented
84#15689008C2211yescharacteristic, complemented
85#15689008C2211yescharacteristic, complemented
86#15689008C2211yescharacteristic, complemented
87#15689008C2211yescharacteristic, complemented
88#15689007C2211yescharacteristic, complemented
89#15689007C2211yescharacteristic, complemented
90#15689007C2211yescharacteristic, complemented
91#15689007C2211yescharacteristic, complemented
92#15689006C2211yescharacteristic, complemented
93#15689006C2211yescharacteristic, complemented
94#15689005C2211yescharacteristic, complemented
95#15689005C2211yescharacteristic, complemented
96#15689005C2211yescharacteristic, complemented
97#15689002C2211yescharacteristic
98#15689002C2211yescharacteristic
99#15689002C2211yescharacteristic
100#15689002C2211yescharacteristic
101#15689000C2211yescharacteristic
102#15688999C2211yescharacteristic
103#15688998C2211yescharacteristic
104#15688998C2211yescharacteristic
105#15688997C2211yescharacteristic, complemented
106#15688996C2211yescharacteristic
107#15688996C2211yescharacteristic
108#15688996C2211yescharacteristic
109#15688996C2211yescharacteristic
110#15688996C2211yescharacteristic
111#15688996C2211yescharacteristic
112#15688995C2211yescharacteristic
113#15688990C2211yescharacteristic, complemented
114#15688990C2211yescharacteristic, complemented
115#15688987C2211yescharacteristic, complemented
116#15688986C2211yescharacteristic
117#15688985C2211yescharacteristic, complemented
118#15688984C2211yescharacteristic
119#15688983C2211yescharacteristic
120#15688981C2211yescharacteristic
121#15688979C2211yescharacteristic
122C4×Dic47⋊C4C2211yescharacteristic, complemented
123C4×Dic47⋊C4C2211yescharacteristic, complemented
124C4×Dic47⋊C4C2211yescharacteristic, complemented
125C4×Dic47⋊C4C2211yescharacteristic, complemented
126C4×Dic47⋊C4C2211yescharacteristic, complemented
127C4×Dic47⋊C4C2211yescharacteristic, complemented
128C4×Dic47⋊C4C2211yescharacteristic, complemented
129C4×C4⋊Dic47C2211yescharacteristic, complemented
130C4×C4⋊Dic47C2211yescharacteristic, complemented
131C4×C4⋊Dic47C2211yescharacteristic, complemented
132C4×C4⋊Dic47C2211yescharacteristic, complemented
133C4×C4⋊Dic47C2211yescharacteristic, complemented
134#15688974C2211yescharacteristic, complemented
135#15688974C2211yescharacteristic, complemented
136#15688974C2211yescharacteristic, complemented
137#15688974C2211yescharacteristic, complemented
138C22⋊C4×Dic47C2211yescharacteristic
139C22⋊C4×Dic47C2211yescharacteristic
140C22⋊C4×Dic47C2211yescharacteristic
141C22⋊C4×Dic47C2211yescharacteristic
142C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
147C4×C22⋊Dic47C2211yescharacteristic
148C4×C22⋊Dic47C2211yescharacteristic
149C4×C22⋊Dic47C2211yescharacteristic
150C4×C22⋊Dic47C2211yescharacteristic
151C4×C22⋊Dic47C2211yescharacteristic
152C4×C22⋊Dic47C2211yescharacteristic
153C4×C22⋊Dic47C2211yescharacteristic
154C4×C22⋊Dic47C2211yescharacteristic
155C4×C22⋊Dic47C2211yescharacteristic
156C4×C22⋊Dic47C2211yescharacteristic
157C4×C22⋊Dic47C2211yescharacteristic
158C4×C22⋊Dic47C2211yescharacteristic
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161C4×C22⋊Dic47C2211yescharacteristic
162#15688970C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, complemented
164#15688969C2211yescharacteristic, complemented
165#15688969C2211yescharacteristic, complemented
166#15688968C2211yescharacteristic, complemented
167#15688968C2211yescharacteristic, complemented
168C2×C47⋊#95C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C24×C4×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C22×C42×C47C2211yescharacteristic
177C22×C42×C47C2211yescharacteristic
178C4×C22⋊C4×C47C2211yescharacteristic
179C4×C22⋊C4×C47C2211yescharacteristic
180C4×C22⋊C4×C47C2211yescharacteristic
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199#13094017C2×C418yescomplemented
200#13094017C2×C418yescomplemented
201#13094010C2×C418yescomplemented
202#13094008C2×C418yescomplemented
203#13094007C2×C418yescomplemented
204#13094006C2×C418yescomplemented
205#13094003C2×C418yescomplemented
206#13094001C2×C418yescomplemented
207#13093993C2×C418yes—
208C4×Dic94—42no—
209C4×C22⋊D47—24no—
210C4×C22⋊D47—24no—
211C4×C22⋊D47—24no—
212C4×C22⋊D47—42no—
213C4×C22⋊D47C2×C418yescomplemented
214(C22⋊D47)⋊C4—24no—
215(C22⋊D47)⋊C4C2×C418yescomplemented
216#13093983—24no—
217#13093983C2×C418yescomplemented
218#13093980—24no—
219#13093980C2×C418yescomplemented
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47—24no—
243C2×C22⋊Dic47C2×C418yescomplemented
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
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×(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×C4×Dic47—24no—
271C2×C4×Dic47—42no—
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
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
297C42×D47—42no—
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
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—24no—
336C23×C4×C47—24no—
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×C22⋊C4×C47—24no—
349C2×C22⋊C4×C47C2×C418yescomplemented
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C42×C47—24no—
359C2×C42×C47—42no—
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366C2×C42×C47C2311yescharacteristic
367C2×C42×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—22no—
379C24×C47—22no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C22×C414yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C22×C4×C47—22no—
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—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
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—416no—
414C22×C4×C47C22×C414yes—
415C22×C4×C47C22×C414yes—
416C22×C4×C47#4114yes—
417C22×C4×C47#4114yes—
418C22×C4×C47C2411yescharacteristic
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
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47C22×C414yes—
437C2×C22⋊D47C22×C414yes—
438C2×C22⋊D47C22×C414yes—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47C22×C414yes—
450C22×Dic47C22×C414yes—
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47C22×C414yescomplemented
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94C22×C414yescomplemented
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47C22×C414yes—
482C22⋊C4×C47C22×C414yes—
483C22⋊C4×C47C22×C414yes—
484C22⋊C4×C47C22×C414yes—
485C22⋊C4×C47#4114yes—
486C42×C47—22no—
487C42×C47—22no—
488C42×C47—22no—
489C42×C47—22no—
490C42×C47—22no—
491C42×C47—22no—
492C42×C47—41no—
493C42×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47C22×C414yes—
504C22⋊Dic47C22×C414yes—
505C22⋊Dic47C22×C414yes—
506C22⋊Dic47C22×C414yes—
507C22⋊Dic47C22×C414yes—
508C22⋊Dic47C22×C414yes—
509C22⋊Dic47C22×C414yes—
510C22⋊Dic47#4114yes—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4C22×C414yescomplemented
518(C2×D47)⋊C4C22×C414yescomplemented
519(C2×D47)⋊C4C22×C414yescomplemented
520C4⋊Dic47—22no—
521C4⋊Dic47—22no—
522C4⋊Dic47—41no—
523C4⋊Dic47—41no—
524C4⋊Dic47C22×C414yescomplemented
525C4⋊Dic47C22×C414yescomplemented
526C4⋊Dic47C22×C414yescomplemented
527Dic47⋊C4—22no—
528Dic47⋊C4—22no—
529Dic47⋊C4—22no—
530Dic47⋊C4—22no—
531Dic47⋊C4—22no—
532Dic47⋊C4—22no—
533Dic47⋊C4—41no—
534Dic47⋊C4—41no—
535Dic47⋊C4—41no—
536Dic47⋊C4—41no—
537Dic47⋊C4C22×C414yescomplemented
538Dic47⋊C4C22×C414yescomplemented
539Dic47⋊C4C22×C414yescomplemented
540Dic47⋊C4C22×C414yescomplemented
541Dic47⋊C4C22×C414yescomplemented
542C4×Dic47—22no—
543C4×Dic47—22no—
544C4×Dic47—22no—
545C4×Dic47—22no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47C22×C414yescomplemented
565C4×Dic47C22×C414yescomplemented
566C4×Dic47C22×C414yescomplemented
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—28no—
576C23×C47—28no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—44no—
584C23×C47—44no—
585C23×C47—44no—
586C23×C47—44no—
587C23×C47—44no—
588C23×C47C23×C412yes—
589C23×C47C23×C412yes—
590C23×C47C23×C412yes—
591C23×C47C2×#4112yes—
592C23×C47C2×#4112yes—
593C23×C47C2×#4112yes—
594C23×C47C2×#4112yes—
595C23×C47C2511yescharacteristic
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47C23×C412yes—
603C2×C4×C47—28no—
604C2×C4×C47—21no—
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—28no—
621C2×C4×C47—28no—
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—44no—
632C2×C4×C47—44no—
633C2×C4×C47—44no—
634C2×C4×C47—44no—
635C2×C4×C47—44no—
636C2×C4×C47—44no—
637C2×C4×C47—44no—
638C2×C4×C47C23×C412yes—
639C2×C4×C47C23×C412yes—
640C2×C4×C47C23×C412yes—
641C2×C4×C47C23×C412yes—
642C2×C4×C47C2×#4112yes—
643C2×C4×C47C2×#4112yes—
644C2×C4×C47C2×#4112yes—
645C2×C4×C47C2×#4112yes—
646C2×C4×C47C2×#4112yes—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47H(5,𝔽2)12yes—
649C22⋊D47—28no—
650C22⋊D47—28no—
651C22⋊D47—44no—
652C2×Dic47—28no—
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—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—44no—
690C2×Dic47—44no—
691C2×Dic47—44no—
692C2×Dic47C23×C412yes—
693C2×Dic47C23×C412yes—
694C2×Dic47C23×C412yes—
695C2×Dic47C23×C412yes—
696C2×Dic47C23×C412yes—
697C2×Dic47C23×C412yes—
698C2×Dic47C23×C412yes—
699C2×Dic47C2×#4112yes—
700C2×Dic47C2×#4112yes—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704Dic94—44no—
705C4×#551—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—22no—
719C22×C47—22no—
720C22×C47—22no—
721C22×C47—416no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47C4×#4114yes—
727C22×C47C4×#4114yes—
728C22×C47C24×C411yescharacteristic
729C22×C47C22×#4111yescharacteristic
730C22×C47C22×#4111yescharacteristic
731C22×C47C22×#4111yescharacteristic
732C22×C47C22×#4111yescharacteristic
733C22×C47C2×H(5,𝔽2)11yescharacteristic
734C22×C47#58511yescharacteristic
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C4×C47—22no—
743C4×C47—22no—
744C4×C47—22no—
745C4×C47—22no—
746C4×C47—22no—
747C4×C47—22no—
748C4×C47—22no—
749C4×C47—22no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47#55114yescomplemented
754Dic47—22no—
755Dic47—22no—
756Dic47—22no—
757Dic47—22no—
758Dic47—22no—
759Dic47—22no—
760Dic47—22no—
761Dic47—22no—
762Dic47—22no—
763Dic47—41no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47—41no—
769C2×#551—471no—
770#2374—471no—
771#2373—471no—
772#2373—471no—
773#2372—471no—
774#2368—471no—
775#2368—471no—
776#2359—471no—
777#2359—471no—
778#2358—471no—
779#2353—471no—
780#2353—471no—
781#2343—471no—
782#2343—471no—
783#2342—471no—
784#2342—471no—
785C4×#126—471no—
786C4×#126—471no—
787C4×#124—471no—
788C4×C22⋊Q8—471no—
789C4×C22⋊Q8—471no—
790C4×#123—471no—
791C4×#123—471no—
792C4×#123—471no—
793C4×#120—471no—
794C42×D4—471no—
795C42×D4—471no—
796C4×#117—471no—
797C4×#117—471no—
798C2×C4×C22⋊C4—471no—
799C2×C4×C22⋊C4D4711yescharacteristic, complemented
800C2×C47—24no—
801C2×C47—24no—
802C2×C47—42no—
803C2×C47C2×C4×#4111yescharacteristic
804C2×C47C2×C4×#4111yescharacteristic
805C2×C47C4×H(5,𝔽2)11yescharacteristic
806C2×C47C2×#55111yescharacteristic
807C2×C47#347511yescharacteristic
808C2×C47#347511yescharacteristic
809C2×C47#348111yescharacteristic
810D47—42no—
811C24×C4C2×D4711yescharacteristic
812#551—4716no—
813C2×#126—471no—
814C2×#126—471no—
815C2×#124—471no—
816C2×#123—471no—
817C2×#123—471no—
818C2×#123—471no—
819C2×C22⋊Q8—471no—
820C2×C22⋊Q8—471no—
821C2×#120—471no—
822C2×C4×Q8—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—471no—
829C2×C4×D4—471no—
830C2×#117—471no—
831C2×#117—471no—
832C2×#117—471no—
833C2×#117—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4C2×D4711yescharacteristic
837C22×C22⋊C4C2×D4711yescharacteristic
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841C22×C42C2×D4711yescharacteristic
842C22×C42C2×D4711yescharacteristic
843#391—471no—
844#391—471no—
845#391—471no—
846#390—471no—
847#389—471no—
848#389—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#388—471no—
862#388—471no—
863#388—471no—
864#388—471no—
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387—471no—
877#387—471no—
878#387—471no—
879#387—471no—
880#387—471no—
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#385—471no—
888#385—471no—
889#385—471no—
890#385—471no—
891#385—471no—
892#385—471no—
893#385—471no—
894#385—471no—
895#385—471no—
896#385—471no—
897#383—471no—
898#383—471no—
899#382—471no—
900#381—471no—
901#381—471no—
902#381—471no—
903#380—471no—
904#380—471no—
905#379—471no—
906C4×C4⋊C4—471no—
907C4×C4⋊C4—471no—
908C4×C4⋊C4—471no—
909C4×C4⋊C4—471no—
910C4×C4⋊C4—471no—
911C4×C4⋊C4—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4—471no—
920C4×C4⋊C4—471no—
921C4×C4⋊C4—471no—
922C4×C22⋊C4—471no—
923C4×C22⋊C4—471no—
924C4×C22⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C4×C22⋊C4—471no—
941C4×C22⋊C4—471no—
942C4×C22⋊C4—471no—
943C4×C22⋊C4—471no—
944C4×C22⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4C2×D4711yescharacteristic
949C4×C22⋊C4C2×D4711yescharacteristic
950C4×C22⋊C4C2×D4711yescharacteristic
951C4×C22⋊C4C2×D4711yescharacteristic
952C4×C22⋊C4C2×D4711yescharacteristic
953C4×C22⋊C4C2×D4711yescharacteristic
954C4×C22⋊C4C2×D4711yescharacteristic
955C4×C22⋊C4C2×D4711yescharacteristic
956#376—471no—
957#376—471no—
958#376—471no—
959#376—471no—
960C2×#95—471no—
961C2×#95—471no—
962C2×#95C2×D4711yescharacteristic
963C2×#95C2×D4711yescharacteristic
964C43—471no—
965C43—471no—
966C43—471no—
967C47C4×#55111yescharacteristic, complemented, Sylow
968C25C22×D4711yescharacteristic
969C22×Q8—471no—
970C22×D4—471no—
971C22×D4—471no—
972C22×D4—471no—
973C23×C4—24no—
974C23×C4—24no—
975C23×C4—42no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4—471no—
982C23×C4—471no—
983C23×C4C22×D4711yescharacteristic
984C23×C4C22×D4711yescharacteristic
985C23×C4C22×D4711yescharacteristic
986C23×C4C22×D4711yescharacteristic
987C23×C4C22×D4711yescharacteristic
988C23×C4C22×D4711yescharacteristic
989C23×C4C22×D4711yescharacteristic
990C23×C4C22×D4711yescharacteristic
991C23×C4C22×D4711yescharacteristic
992C23×C4C22×D4711yescharacteristic
993#126—478no—
994#126—478no—
995#124—478no—
996#123—478no—
997#123—478no—
998#123—478no—
999C22⋊Q8—478no—
1000C22⋊Q8—478no—
1001#120—478no—
1002C4×Q8—1882no—
1003C4×D4—478no—
1004C4×D4—478no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—944no—
1009C4×D4—1882no—
1010#117—478no—
1011#117—478no—
1012#117—944no—
1013#117—944no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
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⋊C4—471no—
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—478no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
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—471no—
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—944no—
1065C2×C22⋊C4C4×D4718yescomplemented
1066C2×C22⋊C4C22×D4711yescharacteristic
1067C2×C22⋊C4C22×D4711yescharacteristic
1068C2×C22⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4C22×D4711yescharacteristic
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C22⋊C4C22×D4711yescharacteristic
1072C2×C22⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4C22×D4711yescharacteristic
1074C2×C42—24no—
1075C2×C42—42no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
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—944no—
1102C2×C42—1882no—
1103C2×C42—1882no—
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112#95—471no—
1113#95—471no—
1114#95—471no—
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#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—471no—
1163C24C2×C4×D4714yes—
1164C24C23×D4711yescharacteristic
1165C24C23×D4711yescharacteristic
1166C24C23×D4711yescharacteristic
1167C2×Q8—474no—
1168C2×Q8—1881no—
1169C2×Q8—1881no—
1170C2×D4—474no—
1171C2×D4—474no—
1172C2×D4—474no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—416no—
1206C22×C4—474no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—474no—
1217C22×C4—474no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4C2×C4×D4714yes—
1243C22×C4C2×C4×D4714yes—
1244C22×C4#1062535014yes—
1245C22×C4#1062535214yes—
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—474no—
1259C4⋊C4—474no—
1260C4⋊C4—474no—
1261C4⋊C4—474no—
1262C4⋊C4—474no—
1263C4⋊C4—474no—
1264C4⋊C4—474no—
1265C4⋊C4—474no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
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—474no—
1294C22⋊C4—942no—
1295C22⋊C4—942no—
1296C22⋊C4—942no—
1297C22⋊C4—942no—
1298C22⋊C4—942no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—1881no—
1306C22⋊C4—1881no—
1307C22⋊C4—1881no—
1308C22⋊C4—1881no—
1309C22⋊C4C2×C4×D4714yes—
1310C22⋊C4C2×C4×D4714yes—
1311C22⋊C4C2×C4×D4714yes—
1312C22⋊C4C2×C4×D4714yes—
1313C22⋊C4#1062535014yes—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—41no—
1321C42—41no—
1322C42—474no—
1323C42—474no—
1324C42—474no—
1325C42—942no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—942no—
1339C42—942no—
1340C42—1881no—
1341C42—1881no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42—1881no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—28no—
1356C23—28no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—472no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23C22×C4×D4712yes—
1376C23C22×C4×D4712yes—
1377C23C22×C4×D4712yes—
1378C23#41×D4712yes—
1379C23C2×#1062535212yes—
1380C23C2×#1062535012yes—
1381C23C2×#1062535012yes—
1382C23C24×D4711yescharacteristic
1383Q8—1884no—
1384D4—948no—
1385D4—948no—
1386D4—1884no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—28no—
1405C2×C4—28no—
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—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—472no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—472no—
1428C2×C4—472no—
1429C2×C4—472no—
1430C2×C4—472no—
1431C2×C4—948no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
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—1884no—
1469C2×C4—1884no—
1470C2×C4—1884no—
1471C2×C4—1884no—
1472C2×C4—1884no—
1473C2×C4—1884no—
1474C2×C4C22×C4×D4712yes—
1475C2×C4C22×C4×D4712yes—
1476C2×C4C22×C4×D4712yes—
1477C2×C4C22×C4×D4712yes—
1478C2×C4C2×#1062535212yes—
1479C2×C4C2×#1062535212yes—
1480C2×C4C2×#1062535012yes—
1481C2×C4C2×#1062535012yes—
1482C2×C4C2×#1062535012yes—
1483C2×C4C2×#1062535012yes—
1484C2×C4#1309406912yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—942no—
1506C22—942no—
1507C22—942no—
1508C22—1881no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22C4×#1062535214yes—
1513C22C4×#1062535014yes—
1514C22C23×C4×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C22×#1062535211yescharacteristic
1517C22C22×#1062535011yescharacteristic
1518C22C22×#1062535011yescharacteristic
1519C22C2×#1309406911yescharacteristic
1520C22#1568995911yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—942no—
1533C4—942no—
1534C4—942no—
1535C4—942no—
1536C4—942no—
1537C4—942no—
1538C4—942no—
1539C4—942no—
1540C4—942no—
1541C4—1881no—
1542C4—1881no—
1543C4—1881no—
1544C4—1881no—
1545C4—1881no—
1546C4—1881no—
1547C4#1568979914yesdirect product factor
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—1882no—
1552C2C2×C4×#1062535211yescharacteristic
1553C2C2×C4×#1062535011yescharacteristic
1554C2C4×#1309406911yescharacteristic
1555C2C2×#1568979911yescharacteristic
1556C2#2025694211yescharacteristic
1557C2#2025694611yescharacteristic
1558C2#2025699211yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C4×C22⋊C4×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#13093993C22
hypercenterC2×C4×C22⋊C4D47
hypocenterC47C4×#551
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #20246522C2semidirect
3. #20246510C2semidirect
4. #20246509C2semidirect
5. #20246496C2semidirect
6. #20246468C2semidirect
7. #20246466C2semidirect
8. #20246382C2semidirect
9. #20246376C2semidirect
11. #20246324C2semidirect
12. #20246322C2semidirect
13. #20246244C2semidirect
14. #20246242C2semidirect
15. #20246237C2semidirect
16. #20246233C2semidirect
17. C4×#13094017C2semidirect
18. C4×#13094017C2semidirect
19. C4×#13094010C2semidirect
20. C4×#13094003C2semidirect
21. C4×#13094001C2semidirect
22. C4×#13094008C2semidirect
23. C4×#13094007C2semidirect
24. C4×#13094006C2semidirect
26. C42×C22⋊D47C2semidirect
27. C4×(C22⋊D47)⋊C4C2semidirect
28. C4×#13093983C2semidirect
29. C4×#13093980C2semidirect
30. C2×C4×C22⋊Dic47C2semidirect
31. C2×C4×C22⋊C4×C47C2semidirect
32. #15689799C4direct (N × H)
42. C2×C4×Dic94C22semidirect
58. C2×C42×D47C22semidirect
59. #15689029C22semidirect
60. #15689027C22semidirect
61. #15689027C22semidirect
63. #15689021C22semidirect
64. #15689020C22semidirect
72. #15689015C22semidirect
73. #15689015C22semidirect
74. #15689015C22semidirect
75. #15689014C22semidirect
76. #15689014C22semidirect
77. #15689012C22semidirect
81. #15689010C22semidirect
82. #15689010C22semidirect
83. #15689010C22semidirect
84. #15689008C22semidirect
85. #15689008C22semidirect
86. #15689008C22semidirect
87. #15689008C22semidirect
88. #15689007C22semidirect
89. #15689007C22semidirect
90. #15689007C22semidirect
91. #15689007C22semidirect
92. #15689006C22semidirect
93. #15689006C22semidirect
94. #15689005C22semidirect
95. #15689005C22semidirect
96. #15689005C22semidirect
105. #15688997C22semidirect
113. #15688990C22semidirect
114. #15688990C22semidirect
115. #15688987C22semidirect
117. #15688985C22semidirect
122. C4×Dic47⋊C4C22semidirect
123. C4×Dic47⋊C4C22semidirect
124. C4×Dic47⋊C4C22semidirect
125. C4×Dic47⋊C4C22semidirect
126. C4×Dic47⋊C4C22semidirect
127. C4×Dic47⋊C4C22semidirect
128. C4×Dic47⋊C4C22semidirect
129. C4×C4⋊Dic47C22semidirect
130. C4×C4⋊Dic47C22semidirect
131. C4×C4⋊Dic47C22semidirect
132. C4×C4⋊Dic47C22semidirect
133. C4×C4⋊Dic47C22semidirect
134. #15688974C22semidirect
135. #15688974C22semidirect
136. #15688974C22semidirect
137. #15688974C22semidirect
142. C4×(C2×D47)⋊C4C22semidirect
143. C4×(C2×D47)⋊C4C22semidirect
144. C4×(C2×D47)⋊C4C22semidirect
145. C4×(C2×D47)⋊C4C22semidirect
146. C4×(C2×D47)⋊C4C22semidirect
162. #15688970C22semidirect
163. #15688970C22semidirect
164. #15688969C22semidirect
165. #15688969C22semidirect
166. #15688968C22semidirect
167. #15688968C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
199. #13094017C2×C4semidirect
200. #13094017C2×C4semidirect
201. #13094010C2×C4semidirect
202. #13094008C2×C4semidirect
203. #13094007C2×C4semidirect
204. #13094006C2×C4semidirect
205. #13094003C2×C4semidirect
206. #13094001C2×C4semidirect
213. C4×C22⋊D47C2×C4semidirect
215. (C22⋊D47)⋊C4C2×C4semidirect
217. #13093983C2×C4semidirect
219. #13093980C2×C4semidirect
243. C2×C22⋊Dic47C2×C4semidirect
349. C2×C22⋊C4×C47C2×C4semidirect
474. C2×C4×D47C22×C4semidirect
477. C2×Dic94C22×C4semidirect
517. (C2×D47)⋊C4C22×C4semidirect
518. (C2×D47)⋊C4C22×C4semidirect
519. (C2×D47)⋊C4C22×C4semidirect
524. C4⋊Dic47C22×C4semidirect
525. C4⋊Dic47C22×C4semidirect
526. C4⋊Dic47C22×C4semidirect
537. Dic47⋊C4C22×C4semidirect
538. Dic47⋊C4C22×C4semidirect
539. Dic47⋊C4C22×C4semidirect
540. Dic47⋊C4C22×C4semidirect
541. Dic47⋊C4C22×C4semidirect
564. C4×Dic47C22×C4semidirect
565. C4×Dic47C22×C4semidirect
566. C4×Dic47C22×C4semidirect
753. C4×C47#551semidirect
799. C2×C4×C22⋊C4D47semidirect
967. C47C4×#551semidirect
1065. C2×C22⋊C4C4×D47semidirect
1547. C4#15689799direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897992
#202465222
#202465102
#202465092
#202464962
#202464682
#202464662
#202463822
#202463762
#202463672
#202463242
#202463222
#202462442
#202462422
#202462372
#202462332
C4×#130940172
C4×#130940102
C4×#130940032
C4×#130940012
C4×#130940082
C4×#130940072
C4×#130940062
C4×#130939932
C42×C22⋊D472
C4×(C22⋊D47)⋊C42
C4×#130939832
C4×#130939802
C2×C4×C22⋊Dic472
C2×C4×C22⋊C4×C472
C4×#55147