Finite Group Databasebeta

← C4×#15689771 #26376110

Subgroups — C4×#15689771 #26376110

Order 12032.

3268 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689771C211yesmaximal, characteristic
2C2×C4×#10625350C211yesmaximal, characteristic, complemented
3C2×C4×#10625352C211yesmaximal, characteristic, complemented
4#20246443C211yesmaximal, characteristic, complemented
5#20246418C211yesmaximal, characteristic, complemented
6#20246410C211yesmaximal, characteristic, complemented
7#20246401C211yesmaximal, characteristic, complemented
8#20246399C211yesmaximal, characteristic, complemented
9#20246387C211yesmaximal, characteristic, complemented
10#20246384C211yesmaximal, characteristic, complemented
11#20246378C211yesmaximal, characteristic, complemented
12#20246377C211yesmaximal, characteristic, complemented
13#20246334C211yesmaximal, characteristic, complemented
14#20246286C211yesmaximal, characteristic, complemented
15#20246254C211yesmaximal, characteristic, complemented
16#20246252C211yesmaximal, characteristic, complemented
17#20246214C211yesmaximal, characteristic, complemented
18#20246212C211yesmaximal, characteristic, complemented
19C4×#13094023C211yesmaximal, characteristic, complemented
20C4×#13094002C211yesmaximal, characteristic, complemented
21C4×#13094001C211yesmaximal, characteristic, complemented
22C4×#13094009C211yesmaximal, characteristic, complemented
23C4×#13094008C211yesmaximal, characteristic, complemented
24C4×#13094006C211yesmaximal, characteristic, complemented
25C4×#13093997C211yesmaximal, characteristic, complemented
26C4×#13093996C211yesmaximal, characteristic, complemented
27C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
29C2×C4×Dic47⋊C4C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34#15689771C4116yesdirect product factor
35C2×#13094023C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094008C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094002C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C4×#10625350—28no—
44C4×#10625352—28no—
45C2×C4×Dic94C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic
47C2×C4×Dic94C2211yescharacteristic
48C2×#13093989C2211yescharacteristic
49C2×C4×D188C2211yescharacteristic
50C2×C4×D188C2211yescharacteristic
51C2×D4×Dic47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×#13093983C2211yescharacteristic
65C2×#13093982C2211yescharacteristic
66C2×#13093981C2211yescharacteristic
67C2×#13093981C2211yescharacteristic
68C2×#13093980C2211yescharacteristic
69C2×#13093980C2211yescharacteristic
70C22×Dic47⋊C4C2211yescharacteristic
71C22×Dic47⋊C4C2211yescharacteristic
72C2×C4⋊C4×D47C2211yescharacteristic
73C2×C4⋊C4×D47C2211yescharacteristic
74C22×C4×Dic47C2211yescharacteristic
75C22×C4×Dic47C2211yescharacteristic
76C22×C4×Dic47C2211yescharacteristic
77C2×C42×D47C2211yescharacteristic
78C2×C42×D47C2211yescharacteristic
79C2×C42×D47C2211yescharacteristic
80C2×C42×D47C2211yescharacteristic
81#15689027C2211yescharacteristic
82#15689027C2211yescharacteristic
83#15689027C2211yescharacteristic
84#15689027C2211yescharacteristic
85#15689023C2211yescharacteristic
86#15689023C2211yescharacteristic
87#15689022C2211yescharacteristic
88#15689020C2211yescharacteristic
89#15689020C2211yescharacteristic
90#15689020C2211yescharacteristic
91#15689020C2211yescharacteristic
92#15689019C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689018C2211yescharacteristic
95#15689017C2211yescharacteristic
96#15689017C2211yescharacteristic
97#15689016C2211yescharacteristic
98#15689016C2211yescharacteristic
99#15689015C2211yescharacteristic
100#15689015C2211yescharacteristic
101#15689013C2211yescharacteristic
102#15689013C2211yescharacteristic
103#15689012C2211yescharacteristic
104#15689012C2211yescharacteristic
105#15689010C2211yescharacteristic
106#15689010C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689009C2211yescharacteristic
109#15689008C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689006C2211yescharacteristic
112#15689006C2211yescharacteristic
113#15689005C2211yescharacteristic
114#15689005C2211yescharacteristic
115#15689003C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689000C2211yescharacteristic
119#15689000C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688995C2211yescharacteristic
127#15688994C2211yescharacteristic
128#15688994C2211yescharacteristic
129#15688992C2211yescharacteristic
130#15688985C2211yescharacteristic
131#15688985C2211yescharacteristic
132#15688984C2211yescharacteristic
133#15688982C2211yescharacteristic
134#15688982C2211yescharacteristic
135#15688981C2211yescharacteristic
136#15688981C2211yescharacteristic
137C4⋊C4×Dic47C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic
139C4×Dic47⋊C4C2211yescharacteristic
140C4×Dic47⋊C4C2211yescharacteristic
141C4×Dic47⋊C4C2211yescharacteristic
142C4×Dic47⋊C4C2211yescharacteristic
143C4×Dic47⋊C4C2211yescharacteristic
144C4×Dic47⋊C4C2211yescharacteristic
145C4×Dic47⋊C4C2211yescharacteristic
146C4×Dic47⋊C4C2211yescharacteristic
147C4×Dic47⋊C4C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×C4⋊Dic47C2211yescharacteristic
150C4×C4⋊Dic47C2211yescharacteristic
151#15688974C2211yescharacteristic
152#15688974C2211yescharacteristic
153#15688974C2211yescharacteristic
154#15688974C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C42×Dic47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C22×C42×C47C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#381C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C4×C4⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C4×C22⋊C4×C47C2211yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—24no—
192C2×#10625350C2×C418yescomplemented
193C2×#10625352—24no—
194C2×#10625352—24no—
195C2×#10625352C2×C418yescomplemented
196C22×Dic94C2311yescharacteristic
197C22×Dic94C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219#13094023C2×C418yescomplemented
220#13094009C2×C418yescomplemented
221#13094008C2×C418yescomplemented
222#13094006C2×C418yescomplemented
223#13094002C2×C418yescomplemented
224#13094001C2×C418yescomplemented
225#13093997C2×C418yescomplemented
226#13093996C2×C418yescomplemented
227C4×Dic94—24no—
228C4×Dic94—24no—
229C4×Dic94—24no—
230#13093989—24no—
231C4×D188—24no—
232C4×D188—24no—
233D4×Dic47—24no—
234C4×C22⋊D47—24no—
235C4×C22⋊D47—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47D418yescomplemented
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4C2×C418yescomplemented
245(C22⋊D47)⋊C4C2×C418yescomplemented
246#13093983—24no—
247#13093982—24no—
248#13093981—24no—
249#13093981—24no—
250#13093980—24no—
251#13093980—24no—
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4—24no—
260C2×Dic47⋊C4C2×C418yescomplemented
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C4⋊C4×D47—24no—
282C4⋊C4×D47C2×C418yescomplemented
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×C4×Dic47—24no—
304C2×C4×Dic47—24no—
305C2×C4×Dic47—24no—
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C42×D47—24no—
331C42×D47—24no—
332C42×D47—24no—
333C42×D47—24no—
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#123×C47C2×C418yescomplemented
366C4×D4×C47—24no—
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C42×C47—24no—
381C2×C42×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383C2×C42×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385C2×C42×C47C2311yescharacteristic
386C2×C42×C47C2311yescharacteristic
387C2×C42×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397#95×C47C2311yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47C22×C414yes—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—41no—
415C22×C4×C47C22×C414yes—
416C22×C4×C47C2×D414yes—
417C22×C4×C47C2411yescharacteristic
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—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47C22×C414yes—
437C2×C22⋊D47C22×C414yes—
438C2×C22⋊D47C22×C414yes—
439C2×C22⋊D47C22×C414yes—
440C2×C22⋊D47C2×D414yes—
441C2×C22⋊D47#4114yes—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47C22×C414yes—
458C22×Dic47C22×C414yes—
459C22×Dic47C22×C414yes—
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474#10625352—232no—
475#10625350—232no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188C22×C414yes—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47C22×C414yes—
505C2×C4×D47C22×C414yes—
506C2×C4×D47C22×C414yes—
507C2×C4×D47C22×C414yes—
508C2×C4×D47C2×D414yes—
509C2×Dic94—22no—
510C2×Dic94—22no—
511C2×Dic94—22no—
512C2×Dic94—22no—
513C2×Dic94C22×C414yes—
514C2×Dic94C22×C414yes—
515C4⋊C4×C47—22no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47C22×C414yes—
519C4⋊C4×C47C22×C414yes—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47C22×C414yes—
526C22⋊C4×C47C22×C414yes—
527C22⋊C4×C47C22×C414yes—
528C42×C47—22no—
529C42×C47—22no—
530C42×C47—22no—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—41no—
539C22⋊Dic47C22×C414yes—
540C22⋊Dic47C2×D414yes—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4C22×C414yes—
551(C2×D47)⋊C4C22×C414yes—
552(C2×D47)⋊C4C22×C414yes—
553(C2×D47)⋊C4C22×C414yes—
554(C2×D47)⋊C4C2×D414yes—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—41no—
560C4⋊Dic47C22×C414yes—
561C4⋊Dic47C22×C414yes—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4C22×C414yes—
575Dic47⋊C4C22×C414yes—
576Dic47⋊C4C22×C414yes—
577Dic47⋊C4C22×C414yes—
578Dic47⋊C4C22×C414yes—
579Dic47⋊C4C22×C414yes—
580Dic47⋊C4C2×D414yes—
581Dic47⋊C4#4114yescomplemented
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—22no—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—41no—
603C4×Dic47C22×C414yes—
604C4×Dic47C2×D414yes—
605C4×Dic47#4114yescomplemented
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47C23×C412yes—
617C23×C47C23×C412yes—
618C23×C47C22×D412yes—
619C23×C47C2×#4112yes—
620C23×C47C2511yescharacteristic
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47C23×C412yes—
632C22×D47C23×C412yes—
633C22×D47C22×D412yes—
634C22×D47C2×#4112yes—
635D4×C47—28no—
636C2×C4×C47—28no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—28no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—44no—
668C2×C4×C47—44no—
669C2×C4×C47C23×C412yes—
670C2×C4×C47C23×C412yes—
671C2×C4×C47C23×C412yes—
672C2×C4×C47C23×C412yes—
673C2×C4×C47C23×C412yes—
674C2×C4×C47C22×D412yes—
675C2×C4×C47C22×D412yes—
676C2×C4×C47C2×#4112yes—
677C2×C4×C47C2×#4112yes—
678C2×C4×C472−1+412yes—
679C22⋊D47—28no—
680C22⋊D47—28no—
681C22⋊D47—28no—
682C22⋊D47C4×D4116yescomplemented
683C2×Dic47—28no—
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—28no—
701C2×Dic47—28no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—44no—
715C2×Dic47—44no—
716C2×Dic47—44no—
717C2×Dic47C23×C412yes—
718C2×Dic47C23×C412yes—
719C2×Dic47C23×C412yes—
720C2×Dic47C23×C412yes—
721C2×Dic47C23×C412yes—
722C2×Dic47C23×C412yes—
723C2×Dic47C22×D412yes—
724C2×Dic47C22×D412yes—
725C2×Dic47C22×D412yes—
726C2×Dic47C2×#4112yes—
727C2×Dic47C2×#4112yes—
728C2×Dic47C2×#4112yes—
729C2×Dic47C2×#4112yes—
730C2×Dic47C2×#4112yes—
731D188—28no—
732C4×D47—28no—
733C4×D47—28no—
734C4×D47—28no—
735C4×D47—28no—
736C4×D47—28no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742Dic94—28no—
743Dic94—28no—
744C4×#547—471nomaximal, Sylow
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47C2×C4×D414yes—
759C22×C47C24×C411yescharacteristic
760C22×C47C23×D411yescharacteristic
761C22×C47C22×#4111yescharacteristic
762C22×C47C22×#4111yescharacteristic
763C22×C47C22×#4111yescharacteristic
764C22×C47C2×2−1+411yescharacteristic
765C22×C47#58511yescharacteristic
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47C2×C4×D414yes—
780C4×C47—22no—
781C4×C47—22no—
782C4×C47—22no—
783C4×C47—22no—
784C4×C47—22no—
785C4×C47—22no—
786C4×C47—22no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47#54714yescomplemented
793Dic47—22no—
794Dic47—22no—
795Dic47—22no—
796Dic47—22no—
797Dic47—22no—
798Dic47—22no—
799Dic47—22no—
800Dic47—22no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47C2×C4×D414yes—
806Dic47C4×#4114yescomplemented
807C2×#547—471no—
808C2×C4×#41—471no—
809C2×C4×#41—471no—
810#2365—471no—
811#2362—471no—
812#2362—471no—
813#2361—471no—
814#2361—471no—
815#2359—471no—
816#2359—471no—
817#2359—471no—
818#2359—471no—
819#2354—471no—
820D4×C4⋊C4—471no—
821#2344—471no—
822#2344—471no—
823#2339—471no—
824#2339—471no—
825C4×C4⋊Q8—471no—
826C4×C22⋊Q8—471no—
827C4×C22⋊Q8—471no—
828C4×#123—471no—
829C4×#123—471no—
830C4×#123—471no—
831C4×#123D4711yescharacteristic, complemented
832C4×#121—471no—
833C4×#121—471no—
834C42×D4—471no—
835C42×D4—471no—
836C2×C4×C4⋊C4—471no—
837C2×C4×C4⋊C4—471no—
838C2×C47—24no—
839C2×C47—42no—
840C2×C47C22×C4×D411yescharacteristic
841C2×C47C2×C4×#4111yescharacteristic
842C2×C47C4×2−1+411yescharacteristic
843C2×C47C2×#54711yescharacteristic
844C2×C47D4×#4111yescharacteristic
845C2×C47#347511yescharacteristic
846C2×C47#348211yescharacteristic
847D47—24no—
848D47—42no—
849C22×#41—471no—
850C22×#41—471no—
851#547—4716no—
852C2×C4⋊Q8—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123C2×D4711yescharacteristic
857C2×C22⋊Q8—471no—
858C2×C22⋊Q8—471no—
859C2×#121—471no—
860C2×#121—471no—
861C4×#41—948no—
862C4×#41—948no—
863C2×C4×Q8—471no—
864C2×C4×Q8—471no—
865C2×C4×Q8—471no—
866C2×C4×Q8—471no—
867C2×C4×D4—471no—
868C2×C4×D4—471no—
869C2×C4×D4—471no—
870C2×C4×D4—471no—
871C2×C4×D4—471no—
872C2×C4×D4—471no—
873C2×C4×D4—471no—
874C2×C4×D4—471no—
875C2×C4×D4—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4C2×D4711yescharacteristic
883C2×#117—471no—
884C2×#117—471no—
885C2×#117—471no—
886C2×#117—471no—
887C2×#117—471no—
888C2×#117—471no—
889C22×C4⋊C4—471no—
890C22×C4⋊C4—471no—
891C22×C4⋊C4—471no—
892C22×C4⋊C4—471no—
893C22×C42—471no—
894C22×C42—471no—
895C22×C42—471no—
896C22×C42—471no—
897C22×C42—471no—
898C22×C42—471no—
899C22×C42—471no—
900C22×C42C2×D4711yescharacteristic
901#391—471no—
902#391—471no—
903#391—471no—
904#391—471no—
905#390—471no—
906#390—471no—
907#389—471no—
908#389—471no—
909#389—471no—
910#389—471no—
911#389—471no—
912#389—471no—
913#389—471no—
914#389—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388C2×D4711yescharacteristic
926#388C2×D4711yescharacteristic
927#387—471no—
928#387—471no—
929#387—471no—
930#387—471no—
931#387—471no—
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387C2×D4711yescharacteristic
938#387C2×D4711yescharacteristic
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386C2×D4711yescharacteristic
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#384—471no—
956#381—471no—
957#381—471no—
958#381—471no—
959#381C2×D4711yescharacteristic
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964C4×C4⋊C4—471no—
965C4×C4⋊C4—471no—
966C4×C4⋊C4—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×C4⋊C4—471no—
975C4×C4⋊C4—471no—
976C4×C4⋊C4—471no—
977C4×C4⋊C4—471no—
978C4×C4⋊C4—471no—
979C4×C4⋊C4—471no—
980C4×C4⋊C4—471no—
981C4×C4⋊C4—471no—
982C4×C4⋊C4—471no—
983C4×C4⋊C4—471no—
984C4×C4⋊C4C2×D4711yescharacteristic
985C4×C4⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4—471no—
997C4×C22⋊C4—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4C2×D4711yescharacteristic
1000C4×C22⋊C4C2×D4711yescharacteristic
1001C4×C22⋊C4C2×D4711yescharacteristic
1002C2×#95—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C2×#95—471no—
1006C43—471no—
1007C47C4×#54711yescharacteristic, complemented, Sylow
1008C2×#41—478no—
1009C2×#41—478no—
1010C2×#41—944no—
1011C2×#41—944no—
1012C2×#41—944no—
1013C2×#41—944no—
1014C22×Q8—471no—
1015C22×Q8—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4C22×D4711yescharacteristic
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4C22×D4711yescharacteristic
1039C23×C4C22×D4711yescharacteristic
1040C23×C4C22×D4711yescharacteristic
1041C23×C4C22×D4711yescharacteristic
1042C4⋊Q8—478no—
1043#123—478no—
1044#123—478no—
1045#123—478no—
1046#123C4×D4718yescomplemented
1047C22⋊Q8—478no—
1048C22⋊Q8—478no—
1049#121—478no—
1050#121—478no—
1051C4×Q8—944no—
1052C4×Q8—944no—
1053C4×Q8—944no—
1054C4×Q8—944no—
1055C4×D4—24no—
1056C4×D4—478no—
1057C4×D4—478no—
1058C4×D4—478no—
1059C4×D4—944no—
1060C4×D4—944no—
1061C4×D4—944no—
1062C4×D4—944no—
1063C4×D4—944no—
1064C4×D4—944no—
1065C4×D4—944no—
1066C4×D4—944no—
1067C4×D4—944no—
1068C4×D4—944no—
1069C4×D4—944no—
1070C4×D4—944no—
1071#117—944no—
1072#117—944no—
1073#117—944no—
1074#117—944no—
1075#117—944no—
1076#117—944no—
1077C2×C4⋊C4—478no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—478no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—944no—
1107C2×C4⋊C4—944no—
1108C2×C4⋊C4C22×D4711yescharacteristic
1109C2×C4⋊C4C22×D4711yescharacteristic
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—24no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42—944no—
1167C2×C42—944no—
1168C2×C42—944no—
1169C2×C42—944no—
1170C2×C42—944no—
1171C2×C42—944no—
1172C2×C42—944no—
1173C2×C42C22×D4711yescharacteristic
1174C2×C42C22×D4711yescharacteristic
1175C2×C42C22×D4711yescharacteristic
1176C2×C42C22×D4711yescharacteristic
1177C2×C42C22×D4711yescharacteristic
1178C2×C42C22×D4711yescharacteristic
1179C2×C42C22×D4711yescharacteristic
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216C24—471no—
1217C24—471no—
1218C24C23×D4711yescharacteristic
1219C24C23×D4711yescharacteristic
1220#41—9432no—
1221#41—9432no—
1222C2×Q8—474no—
1223C2×Q8—474no—
1224C2×Q8—942no—
1225C2×Q8—942no—
1226C2×Q8—942no—
1227C2×Q8—942no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—474no—
1231C2×D4—474no—
1232C2×D4—474no—
1233C2×D4—474no—
1234C2×D4—474no—
1235C2×D4—474no—
1236C2×D4—474no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4C2×C4×D4714yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—474no—
1259C22×C4—474no—
1260C22×C4—474no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—474no—
1270C22×C4—474no—
1271C22×C4—474no—
1272C22×C4—474no—
1273C22×C4—474no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
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—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4C2×C4×D4714yes—
1319C22×C4D4×D4714yes—
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—474no—
1337C4⋊C4—474no—
1338C4⋊C4—474no—
1339C4⋊C4—474no—
1340C4⋊C4—474no—
1341C4⋊C4—474no—
1342C4⋊C4—474no—
1343C4⋊C4—474no—
1344C4⋊C4—474no—
1345C4⋊C4—474no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—1881no—
1363C4⋊C4C2×C4×D4714yes—
1364C4⋊C4C2×C4×D4714yes—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—474no—
1371C22⋊C4—474no—
1372C22⋊C4—474no—
1373C22⋊C4—474no—
1374C22⋊C4—474no—
1375C22⋊C4—474no—
1376C22⋊C4—474no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4C2×C4×D4714yes—
1391C22⋊C4C2×C4×D4714yes—
1392C22⋊C4C2×C4×D4714yes—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—474no—
1401C42—474no—
1402C42—474no—
1403C42—942no—
1404C42—942no—
1405C42—942no—
1406C42—942no—
1407C42—942no—
1408C42—942no—
1409C42—942no—
1410C42—942no—
1411C42—942no—
1412C42—942no—
1413C42—942no—
1414C42—942no—
1415C42—942no—
1416C42—942no—
1417C42—942no—
1418C42—942no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
1422C42—942no—
1423C42—1881no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—472no—
1435C23—472no—
1436C23—472no—
1437C23—472no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23C22×C4×D4712yes—
1449C23C22×C4×D4712yes—
1450C23C2×D4×D4712yes—
1451C23#41×D4712yes—
1452C23C24×D4711yescharacteristic
1453Q8—948no—
1454Q8—948no—
1455D4—28no—
1456D4—4716no—
1457D4—948no—
1458D4—948no—
1459D4—948no—
1460D4—948no—
1461C2×C4—28no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—28no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—472no—
1495C2×C4—472no—
1496C2×C4—472no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
1500C2×C4—472no—
1501C2×C4—472no—
1502C2×C4—472no—
1503C2×C4—472no—
1504C2×C4—472no—
1505C2×C4—472no—
1506C2×C4—472no—
1507C2×C4—472no—
1508C2×C4—948no—
1509C2×C4—948no—
1510C2×C4—948no—
1511C2×C4—948no—
1512C2×C4—948no—
1513C2×C4—948no—
1514C2×C4—948no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—948no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—1884no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4—1884no—
1548C2×C4—1884no—
1549C2×C4—1884no—
1550C2×C4—1884no—
1551C2×C4—1884no—
1552C2×C4C22×C4×D4712yes—
1553C2×C4C22×C4×D4712yes—
1554C2×C4C22×C4×D4712yes—
1555C2×C4C22×C4×D4712yes—
1556C2×C4C22×C4×D4712yes—
1557C2×C4C2×D4×D4712yes—
1558C2×C4C2×D4×D4712yes—
1559C2×C4#41×D4712yes—
1560C2×C4#41×D4712yes—
1561C2×C4#1309407112yes—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—474no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—942no—
1583C22—942no—
1584C22—942no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22C4×D4×D4714yes—
1590C22C23×C4×D4711yescharacteristic
1591C22C22×D4×D4711yescharacteristic
1592C22C2×#41×D4711yescharacteristic
1593C22C2×#41×D4711yescharacteristic
1594C22C2×#41×D4711yescharacteristic
1595C22C2×#1309407111yescharacteristic
1596C22#1568995911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—474no—
1610C4—474no—
1611C4—942no—
1612C4—942no—
1613C4—942no—
1614C4—942no—
1615C4—942no—
1616C4—942no—
1617C4—942no—
1618C4—942no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4#1568977114yesdirect product factor
1624C2—24no—
1625C2—42no—
1626C2—944no—
1627C2—1882no—
1628C2C2×C4×D4×D4711yescharacteristic
1629C2C4×#41×D4711yescharacteristic
1630C2C4×#1309407111yescharacteristic
1631C2C2×#1568977111yescharacteristic
1632C2#2025687111yescharacteristic
1633C2#2025694011yescharacteristic
1634C2#2025700111yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC4×#123×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689771C2
hypercenterC4×#123D47
hypocenterC47C4×#547
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10625350C2semidirect
3. C2×C4×#10625352C2semidirect
4. #20246443C2semidirect
5. #20246418C2semidirect
6. #20246410C2semidirect
7. #20246401C2semidirect
8. #20246399C2semidirect
9. #20246387C2semidirect
10. #20246384C2semidirect
11. #20246378C2semidirect
12. #20246377C2semidirect
13. #20246334C2semidirect
14. #20246286C2semidirect
15. #20246254C2semidirect
16. #20246252C2semidirect
17. #20246214C2semidirect
18. #20246212C2semidirect
19. C4×#13094023C2semidirect
20. C4×#13094002C2semidirect
21. C4×#13094001C2semidirect
22. C4×#13094009C2semidirect
23. C4×#13094008C2semidirect
24. C4×#13094006C2semidirect
25. C4×#13093997C2semidirect
26. C4×#13093996C2semidirect
27. C4×(C22⋊D47)⋊C4C2semidirect
28. C4×(C22⋊D47)⋊C4C2semidirect
29. C2×C4×Dic47⋊C4C2semidirect
30. C4×C4⋊C4×D47C2semidirect
31. C4×#123×C47C2semidirect
34. #15689771C4direct (N × H)
192. C2×#10625350C2×C4semidirect
195. C2×#10625352C2×C4semidirect
219. #13094023C2×C4semidirect
220. #13094009C2×C4semidirect
221. #13094008C2×C4semidirect
222. #13094006C2×C4semidirect
223. #13094002C2×C4semidirect
224. #13094001C2×C4semidirect
225. #13093997C2×C4semidirect
226. #13093996C2×C4semidirect
239. C4×C22⋊D47D4semidirect
244. (C22⋊D47)⋊C4C2×C4semidirect
245. (C22⋊D47)⋊C4C2×C4semidirect
260. C2×Dic47⋊C4C2×C4semidirect
282. C4⋊C4×D47C2×C4semidirect
365. #123×C47C2×C4semidirect
581. Dic47⋊C4#41semidirect
605. C4×Dic47#41semidirect
682. C22⋊D47C4×D4semidirect
792. C4×C47#547semidirect
806. Dic47C4×#41semidirect
831. C4×#123D47semidirect
1007. C47C4×#547semidirect
1046. #123C4×D47semidirect
1623. C4#15689771direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897712
C2×C4×#106253502
C2×C4×#106253522
#202464432
#202464182
#202464102
#202464012
#202463992
#202463872
#202463842
#202463782
#202463772
#202463342
#202462862
#202462542
#202462522
#202462142
#202462122
C4×#130940232
C4×#130940022
C4×#130940012
C4×#130940092
C4×#130940082
C4×#130940062
C4×#130939972
C4×#130939962
C4×(C22⋊D47)⋊C42
C2×C4×Dic47⋊C42
C4×C4⋊C4×D472
C4×#123×C472
C4×#54747