Finite Group Databasebeta

← C4×#15689708 #26375345

Subgroups — C4×#15689708 #26375345

Order 12032.

2650 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×#15689708C211yesmaximal, characteristic
2#20246202C211yesmaximal, characteristic, complemented
3#20246197C211yesmaximal, characteristic, complemented
4#20246179C211yesmaximal, characteristic, complemented
5#20246173C211yesmaximal, characteristic, complemented
6#20246164C211yesmaximal, characteristic, complemented
7#20246158C211yesmaximal, characteristic, complemented
8#20246154C211yesmaximal, characteristic, complemented
9#20246149C211yesmaximal, characteristic, complemented
10#20246119C211yesmaximal, characteristic, complemented
11#20246089C211yesmaximal, characteristic, complemented
12#20246049C211yesmaximal, characteristic, complemented
13#20246043C211yesmaximal, characteristic, complemented
14#20246016C211yesmaximal, characteristic, complemented
15#20246014C211yesmaximal, characteristic, complemented
16#20245984C211yesmaximal, characteristic, complemented
17C4×#13094017C211yesmaximal, characteristic, complemented
18C4×#13094017C211yesmaximal, characteristic, complemented
19C4×#13094011C211yesmaximal, characteristic, complemented
20C4×#13094010C211yesmaximal, characteristic, complemented
21C4×#13094001C211yesmaximal, characteristic, complemented
22C4×#13094006C211yesmaximal, characteristic, complemented
23C4×#13094005C211yesmaximal, characteristic, complemented
24C4×#13093996C211yesmaximal, characteristic, complemented
25C4×#13093996C211yesmaximal, characteristic, complemented
26C4×#13093995C211yesmaximal, characteristic, complemented
27C4×#13093993C211yesmaximal, characteristic, complemented
28C4×D4×Dic47C211yesmaximal, characteristic, complemented
29C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic47C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32#15689708C4116yesdirect product factor
33C2×#13094017C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094011C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094005C2211yescharacteristic
39C2×#13094001C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093996C2211yescharacteristic
42C2×#13093995C2211yescharacteristic
43C2×#13093993C2211yescharacteristic
44C2×C4×Dic94C2211yescharacteristic, complemented
45C2×D4×Dic47C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic, complemented
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C22×C22⋊Dic47C2211yescharacteristic
54C22×C22⋊Dic47C2211yescharacteristic
55C22×C4×Dic47C2211yescharacteristic
56C22×C4×Dic47C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic, complemented
58C2×C42×D47C2211yescharacteristic, complemented
59#15689028C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689027C2211yescharacteristic, complemented
62#15689026C2211yescharacteristic
63#15689026C2211yescharacteristic
64#15689023C2211yescharacteristic
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic, complemented
67#15689020C2211yescharacteristic, complemented
68#15689019C2211yescharacteristic, complemented
69#15689018C2211yescharacteristic, complemented
70#15689018C2211yescharacteristic, complemented
71#15689017C2211yescharacteristic
72#15689017C2211yescharacteristic
73#15689017C2211yescharacteristic
74#15689017C2211yescharacteristic
75#15689017C2211yescharacteristic
76#15689017C2211yescharacteristic
77#15689017C2211yescharacteristic, complemented
78#15689017C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic, complemented
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689016C2211yescharacteristic
84#15689015C2211yescharacteristic, complemented
85#15689013C2211yescharacteristic, complemented
86#15689013C2211yescharacteristic, complemented
87#15689012C2211yescharacteristic, complemented
88#15689011C2211yescharacteristic
89#15689011C2211yescharacteristic
90#15689011C2211yescharacteristic
91#15689011C2211yescharacteristic
92#15689011C2211yescharacteristic
93#15689011C2211yescharacteristic
94#15689011C2211yescharacteristic, complemented
95#15689010C2211yescharacteristic, complemented
96#15689010C2211yescharacteristic, complemented
97#15689010C2211yescharacteristic, complemented
98#15689008C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689006C2211yescharacteristic, complemented
101#15689006C2211yescharacteristic, complemented
102#15689005C2211yescharacteristic, complemented
103#15689005C2211yescharacteristic, complemented
104#15689005C2211yescharacteristic, complemented
105#15689004C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689003C2211yescharacteristic
108#15689003C2211yescharacteristic
109#15689003C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689002C2211yescharacteristic
112#15689002C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic, complemented
115#15688999C2211yescharacteristic
116#15688999C2211yescharacteristic
117#15688999C2211yescharacteristic, complemented
118#15688998C2211yescharacteristic
119#15688997C2211yescharacteristic, complemented
120#15688996C2211yescharacteristic
121#15688996C2211yescharacteristic
122#15688996C2211yescharacteristic
123#15688995C2211yescharacteristic
124#15688995C2211yescharacteristic, complemented
125#15688990C2211yescharacteristic, complemented
126#15688990C2211yescharacteristic, complemented
127#15688988C2211yescharacteristic, complemented
128#15688987C2211yescharacteristic, complemented
129#15688985C2211yescharacteristic, complemented
130#15688984C2211yescharacteristic, complemented
131#15688981C2211yescharacteristic
132#15688981C2211yescharacteristic
133#15688981C2211yescharacteristic, complemented
134#15688980C2211yescharacteristic, complemented
135#15688979C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic, complemented
137C4⋊C4×Dic47C2211yescharacteristic, complemented
138C4×Dic47⋊C4C2211yescharacteristic, complemented
139C4×Dic47⋊C4C2211yescharacteristic, complemented
140C4×Dic47⋊C4C2211yescharacteristic, complemented
141C4×Dic47⋊C4C2211yescharacteristic, complemented
142C4×C4⋊Dic47C2211yescharacteristic, complemented
143C4×C4⋊Dic47C2211yescharacteristic, complemented
144#15688974C2211yescharacteristic, complemented
145#15688974C2211yescharacteristic, complemented
146C22⋊C4×Dic47C2211yescharacteristic
147C22⋊C4×Dic47C2211yescharacteristic
148C22⋊C4×Dic47C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic, complemented
151C22⋊C4×Dic47C2211yescharacteristic, complemented
152C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
153C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
154C4×C22⋊Dic47C2211yescharacteristic
155C4×C22⋊Dic47C2211yescharacteristic
156C4×C22⋊Dic47C2211yescharacteristic
157C4×C22⋊Dic47C2211yescharacteristic
158C4×C22⋊Dic47C2211yescharacteristic
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161C4×C22⋊Dic47C2211yescharacteristic
162C4×C22⋊Dic47C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic, complemented
166C4×C22⋊Dic47C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C24×C4×C47C2211yescharacteristic
174C2×#120×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C2×C4×D4×C47C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202#13094017C2×C418yescomplemented
203#13094017C2×C418yescomplemented
204#13094011C2×C418yescomplemented
205#13094010C2×C418yescomplemented
206#13094006C2×C418yescomplemented
207#13094005C2×C418yescomplemented
208#13094001C2×C418yescomplemented
209#13093996C2×C418yescomplemented
210#13093996C2×C418yescomplemented
211#13093995C2×C418yescomplemented
212#13093993C2×C418yescomplemented
213C4×Dic94—42no—
214D4×Dic47—24no—
215D4×Dic47C2×C418yescomplemented
216C4×C22⋊D47—24no—
217C4×C22⋊D47—42no—
218C4×C22⋊D47—42no—
219C4×C22⋊D47—42no—
220(C22⋊D47)⋊C4—24no—
221(C22⋊D47)⋊C4C2×C418yescomplemented
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×C22⋊Dic47—24no—
242C2×C22⋊Dic47C2×C418yescomplemented
243C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×C4×Dic47—42no—
274C2×C4×Dic47—42no—
275C2×C4×Dic47—42no—
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
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C42×D47—42no—
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
335C22×D4×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C23×C4×C47—24no—
339C23×C4×C47—42no—
340C23×C4×C47—42no—
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348#120×C47C2×C418yescomplemented
349C4×D4×C47—24no—
350C4×D4×C47—42no—
351C4×D4×C47—42no—
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
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×C42×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×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
386C24×C47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47C22×C414yes—
395C2×D4×C47C22×C414yes—
396C2×D4×C47C22×C414yes—
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—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—416no—
418C22×C4×C47#4114yes—
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—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47C22×C414yes—
439C2×C22⋊D47C22×C414yes—
440C2×C22⋊D47C22×C414yes—
441C2×C22⋊D47C22×C414yescomplemented
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47C22×C414yes—
457C22×Dic47C22×C414yes—
458C22×Dic47C22×C414yescomplemented
459C22×Dic47#4114yes—
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
474C22×Dic47C2411yescharacteristic
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47C22×C414yescomplemented
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—41no—
494C22⋊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—
502C42×C47—22no—
503C42×C47—22no—
504C42×C47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47C22×C414yes—
519C22⋊Dic47C22×C414yes—
520C22⋊Dic47C22×C414yes—
521C22⋊Dic47C22×C414yes—
522C22⋊Dic47C22×C414yes—
523C22⋊Dic47C22×C414yes—
524C22⋊Dic47C22×C414yes—
525C22⋊Dic47C22×C414yescomplemented
526C22⋊Dic47C22×C414yescomplemented
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
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
535C4⋊Dic47—22no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47C22×C414yescomplemented
539C4⋊Dic47C22×C414yescomplemented
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4C22×C414yescomplemented
551Dic47⋊C4C22×C414yescomplemented
552Dic47⋊C4C22×C414yescomplemented
553Dic47⋊C4C22×C414yescomplemented
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
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—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—44no—
601C23×C47—44no—
602C23×C47—44no—
603C23×C47—44no—
604C23×C47—44no—
605C23×C47—44no—
606C23×C47C23×C412yes—
607C23×C47C23×C412yes—
608C23×C47C23×C412yes—
609C23×C47C23×C412yes—
610C23×C47C2×#4112yes—
611C23×C47C2×#4112yes—
612C23×C47C2511yescharacteristic
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47C23×C412yes—
620D4×C47—28no—
621D4×C47—44no—
622D4×C47—44no—
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—28no—
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×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C2×#4112yes—
660C2×C4×C47C2×#4112yes—
661C2×C4×C47H(5,𝔽2)12yes—
662C2×C4×C47H(5,𝔽2)12yes—
663C22⋊D47—28no—
664C22⋊D47—44no—
665C22⋊D47—44no—
666C22⋊D47—44no—
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—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—44no—
704C2×Dic47—44no—
705C2×Dic47—44no—
706C2×Dic47—44no—
707C2×Dic47—44no—
708C2×Dic47—44no—
709C2×Dic47C23×C412yes—
710C2×Dic47C23×C412yes—
711C2×Dic47C23×C412yes—
712C2×Dic47C23×C412yes—
713C2×Dic47C23×C412yes—
714C2×Dic47C23×C412yes—
715C2×Dic47C23×C412yes—
716C2×Dic47C2×#4112yes—
717C2×Dic47C2×#4112yes—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721Dic94—44no—
722C4×#538—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—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—416no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47C4×#4114yes—
752C22×C47C24×C411yescharacteristic
753C22×C47C22×#4111yescharacteristic
754C22×C47C22×#4111yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47#58511yescharacteristic
758C22×C47#58511yescharacteristic
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
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—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47#53814yescomplemented
777Dic47—22no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—22no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792C2×#538—471no—
793#2337—471no—
794#2337—471no—
795#2335—471no—
796#2335—471no—
797#2334—471no—
798#2334—471no—
799#2333—471no—
800#2333—471no—
801#2329—471no—
802#2325—471no—
803#2321—471no—
804#2321—471no—
805#2318—471no—
806#2318—471no—
807#2312—471no—
808C4×#126—471no—
809C4×#126—471no—
810C4×#124—471no—
811C4×#124—471no—
812C4×C22⋊Q8—471no—
813C4×#123—471no—
814C4×#123—471no—
815C4×#121—471no—
816C4×#121—471no—
817C4×#121—471no—
818C4×#120—471no—
819C4×#120D4711yescharacteristic, complemented
820C42×D4—471no—
821C42×D4—471no—
822C2×C4×C22⋊C4—471no—
823C2×C47—24no—
824C2×C47—42no—
825C2×C47—42no—
826C2×C47—42no—
827C2×C47C2×C4×#4111yescharacteristic
828C2×C47C4×H(5,𝔽2)11yescharacteristic
829C2×C47C4×H(5,𝔽2)11yescharacteristic
830C2×C47C2×#53811yescharacteristic
831C2×C47#345511yescharacteristic
832C2×C47#345911yescharacteristic
833C2×C47#346011yescharacteristic
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×#120C2×D4711yescharacteristic
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×D4C2×D4711yescharacteristic
859C2×C4×D4C2×D4711yescharacteristic
860C2×C4×D4C2×D4711yescharacteristic
861C22×C22⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C42—471no—
864C22×C42—471no—
865C22×C42—471no—
866C22×C42—471no—
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#388—471no—
880#388—471no—
881#388—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#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#387—471no—
904#387—471no—
905#387—471no—
906#387—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#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386C2×D4711yescharacteristic
927#386C2×D4711yescharacteristic
928#386C2×D4711yescharacteristic
929#385—471no—
930#385—471no—
931#385—471no—
932#385—471no—
933#385—471no—
934#385—471no—
935#385—471no—
936#385C2×D4711yescharacteristic
937#385C2×D4711yescharacteristic
938#385C2×D4711yescharacteristic
939#383—471no—
940#383—471no—
941#382—471no—
942#382—471no—
943#381—471no—
944#381—471no—
945#380—471no—
946#380—471no—
947#380—471no—
948#380—471no—
949#379—471no—
950#379C2×D4711yescharacteristic
951C4×C4⋊C4—471no—
952C4×C4⋊C4—471no—
953C4×C4⋊C4—471no—
954C4×C4⋊C4—471no—
955C4×C4⋊C4—471no—
956C4×C4⋊C4—471no—
957C4×C4⋊C4—471no—
958C4×C4⋊C4—471no—
959C4×C4⋊C4—471no—
960C4×C4⋊C4—471no—
961C4×C22⋊C4—471no—
962C4×C22⋊C4—471no—
963C4×C22⋊C4—471no—
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4—471no—
968C4×C22⋊C4—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4—471no—
971C4×C22⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊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⋊C4C2×D4711yescharacteristic
985C4×C22⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4C2×D4711yescharacteristic
987C2×#95—471no—
988C2×#95—471no—
989C43—471no—
990C43—471no—
991C47C4×#53811yescharacteristic, complemented, Sylow
992C25C22×D4711yescharacteristic
993C22×Q8—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4C22×D4711yescharacteristic
999C22×D4C22×D4711yescharacteristic
1000C22×D4C22×D4711yescharacteristic
1001C23×C4—24no—
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×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
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#120C4×D4718yescomplemented
1032C4×Q8—1882no—
1033C4×D4—24no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—478no—
1037C4×D4—478no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—1882no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4C22×D4711yescharacteristic
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C22⋊C4—478no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—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—944no—
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4C22×D4711yescharacteristic
1108C2×C22⋊C4C22×D4711yescharacteristic
1109C2×C22⋊C4C22×D4711yescharacteristic
1110C2×C42—471no—
1111C2×C42—471no—
1112C2×C42—471no—
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42—471no—
1116C2×C42—471no—
1117C2×C42—471no—
1118C2×C42—471no—
1119C2×C42—471no—
1120C2×C42—471no—
1121C2×C42—471no—
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—1882no—
1134C2×C42—1882no—
1135C2×C42—1882no—
1136C2×C42—1882no—
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
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—
1187C24C2×C4×D4714yes—
1188C24C23×D4711yescharacteristic
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C2×Q8—474no—
1193C2×Q8—1881no—
1194C2×Q8—1881no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—474no—
1202C2×D4—474no—
1203C2×D4—474no—
1204C2×D4—474no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4C2×C4×D4714yes—
1214C2×D4C2×C4×D4714yes—
1215C2×D4C2×C4×D4714yes—
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—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—416no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—474no—
1247C22×C4—474no—
1248C22×C4—474no—
1249C22×C4—474no—
1250C22×C4—474no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
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×C4—1881no—
1278C22×C4—1881no—
1279C22×C4#1062535214yes—
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—41no—
1293C4⋊C4—41no—
1294C4⋊C4—474no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—474no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
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⋊C4C2×C4×D4714yes—
1353C22⋊C4C2×C4×D4714yes—
1354C22⋊C4C2×C4×D4714yes—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—474no—
1359C42—474no—
1360C42—942no—
1361C42—942no—
1362C42—942no—
1363C42—942no—
1364C42—942no—
1365C42—942no—
1366C42—942no—
1367C42—942no—
1368C42—942no—
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—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—472no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23C22×C4×D4712yes—
1418C23C22×C4×D4712yes—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23#41×D4712yes—
1422C23C2×#1062535212yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
1425D4—28no—
1426D4—44no—
1427D4—44no—
1428D4—948no—
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—28no—
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—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—472no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—1884no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C2×#1062535212yes—
1523C2×C4C2×#1062535212yes—
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—22no—
1539C22—22no—
1540C22—22no—
1541C22—416no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22C4×#1062535214yes—
1562C22C23×C4×D4711yescharacteristic
1563C22C2×#41×D4711yescharacteristic
1564C22C22×#1062535211yescharacteristic
1565C22C2×#1309406911yescharacteristic
1566C22C2×#1309406911yescharacteristic
1567C22#1568995911yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—942no—
1580C4—942no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4#1568970814yesdirect product factor
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—1882no—
1600C2C2×C4×#1062535211yescharacteristic
1601C2C4×#1309406911yescharacteristic
1602C2C4×#1309406911yescharacteristic
1603C2C2×#1568970811yescharacteristic
1604C2#2025677611yescharacteristic
1605C2#2025679511yescharacteristic
1606C2#2025680611yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC4×#120×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689708C2
hypercenterC4×#120D47
hypocenterC47C4×#538
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #20246202C2semidirect
3. #20246197C2semidirect
4. #20246179C2semidirect
5. #20246173C2semidirect
6. #20246164C2semidirect
7. #20246158C2semidirect
8. #20246154C2semidirect
9. #20246149C2semidirect
10. #20246119C2semidirect
11. #20246089C2semidirect
12. #20246049C2semidirect
13. #20246043C2semidirect
14. #20246016C2semidirect
15. #20246014C2semidirect
16. #20245984C2semidirect
17. C4×#13094017C2semidirect
18. C4×#13094017C2semidirect
19. C4×#13094011C2semidirect
20. C4×#13094010C2semidirect
21. C4×#13094001C2semidirect
22. C4×#13094006C2semidirect
23. C4×#13094005C2semidirect
24. C4×#13093996C2semidirect
25. C4×#13093996C2semidirect
26. C4×#13093995C2semidirect
27. C4×#13093993C2semidirect
28. C4×D4×Dic47C2semidirect
29. C4×(C22⋊D47)⋊C4C2semidirect
30. C2×C4×C22⋊Dic47C2semidirect
31. C4×#120×C47C2semidirect
32. #15689708C4direct (N × H)
44. C2×C4×Dic94C22semidirect
50. C2×C4×C22⋊D47C22semidirect
57. C22×C4×Dic47C22semidirect
58. C2×C42×D47C22semidirect
59. #15689028C22semidirect
60. #15689027C22semidirect
61. #15689027C22semidirect
66. #15689023C22semidirect
67. #15689020C22semidirect
68. #15689019C22semidirect
69. #15689018C22semidirect
70. #15689018C22semidirect
77. #15689017C22semidirect
78. #15689017C22semidirect
79. #15689017C22semidirect
84. #15689015C22semidirect
85. #15689013C22semidirect
86. #15689013C22semidirect
87. #15689012C22semidirect
94. #15689011C22semidirect
95. #15689010C22semidirect
96. #15689010C22semidirect
97. #15689010C22semidirect
98. #15689008C22semidirect
99. #15689008C22semidirect
100. #15689006C22semidirect
101. #15689006C22semidirect
102. #15689005C22semidirect
103. #15689005C22semidirect
104. #15689005C22semidirect
105. #15689004C22semidirect
106. #15689004C22semidirect
114. #15689000C22semidirect
117. #15688999C22semidirect
119. #15688997C22semidirect
124. #15688995C22semidirect
125. #15688990C22semidirect
126. #15688990C22semidirect
127. #15688988C22semidirect
128. #15688987C22semidirect
129. #15688985C22semidirect
130. #15688984C22semidirect
133. #15688981C22semidirect
134. #15688980C22semidirect
136. C4⋊C4×Dic47C22semidirect
137. C4⋊C4×Dic47C22semidirect
138. C4×Dic47⋊C4C22semidirect
139. C4×Dic47⋊C4C22semidirect
140. C4×Dic47⋊C4C22semidirect
141. C4×Dic47⋊C4C22semidirect
142. C4×C4⋊Dic47C22semidirect
143. C4×C4⋊Dic47C22semidirect
144. #15688974C22semidirect
145. #15688974C22semidirect
150. C22⋊C4×Dic47C22semidirect
151. C22⋊C4×Dic47C22semidirect
152. C4×(C2×D47)⋊C4C22semidirect
153. C4×(C2×D47)⋊C4C22semidirect
165. C4×C22⋊Dic47C22semidirect
166. C4×C22⋊Dic47C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
202. #13094017C2×C4semidirect
203. #13094017C2×C4semidirect
204. #13094011C2×C4semidirect
205. #13094010C2×C4semidirect
206. #13094006C2×C4semidirect
207. #13094005C2×C4semidirect
208. #13094001C2×C4semidirect
209. #13093996C2×C4semidirect
210. #13093996C2×C4semidirect
211. #13093995C2×C4semidirect
212. #13093993C2×C4semidirect
215. D4×Dic47C2×C4semidirect
221. (C22⋊D47)⋊C4C2×C4semidirect
242. C2×C22⋊Dic47C2×C4semidirect
348. #120×C47C2×C4semidirect
441. C2×C22⋊D47C22×C4semidirect
458. C22×Dic47C22×C4semidirect
483. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
525. C22⋊Dic47C22×C4semidirect
526. C22⋊Dic47C22×C4semidirect
533. (C2×D47)⋊C4C22×C4semidirect
534. (C2×D47)⋊C4C22×C4semidirect
538. C4⋊Dic47C22×C4semidirect
539. C4⋊Dic47C22×C4semidirect
550. Dic47⋊C4C22×C4semidirect
551. Dic47⋊C4C22×C4semidirect
552. Dic47⋊C4C22×C4semidirect
553. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
776. C4×C47#538semidirect
819. C4×#120D47semidirect
991. C47C4×#538semidirect
1031. #120C4×D47semidirect
1594. C4#15689708direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897082
#202462022
#202461972
#202461792
#202461732
#202461642
#202461582
#202461542
#202461492
#202461192
#202460892
#202460492
#202460432
#202460162
#202460142
#202459842
C4×#130940172
C4×#130940112
C4×#130940102
C4×#130940012
C4×#130940062
C4×#130940052
C4×#130939962
C4×#130939952
C4×#130939932
C4×D4×Dic472
C4×(C22⋊D47)⋊C42
C2×C4×C22⋊Dic472
C4×#120×C472
C4×#53847