Finite Group Databasebeta

← C4×#15689709 #26375347

Subgroups — C4×#15689709 #26375347

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×#15689709C211yesmaximal, characteristic
2#20246202C211yesmaximal, characteristic, complemented
3#20246199C211yesmaximal, characteristic, complemented
4#20246182C211yesmaximal, characteristic, complemented
5#20246177C211yesmaximal, characteristic, complemented
6#20246169C211yesmaximal, characteristic, complemented
7#20246160C211yesmaximal, characteristic, complemented
8#20246150C211yesmaximal, characteristic, complemented
9#20246149C211yesmaximal, characteristic, complemented
10#20246117C211yesmaximal, characteristic, complemented
11#20246085C211yesmaximal, characteristic, complemented
12#20246044C211yesmaximal, characteristic, complemented
13#20246041C211yesmaximal, characteristic, complemented
14#20246020C211yesmaximal, characteristic, complemented
15#20246017C211yesmaximal, characteristic, complemented
16#20245982C211yesmaximal, characteristic, complemented
17C4×#13094019C211yesmaximal, characteristic, complemented
18C4×#13094017C211yesmaximal, characteristic, complemented
19C4×#13094010C211yesmaximal, characteristic, complemented
20C4×#13094010C211yesmaximal, characteristic, complemented
21C4×#13094004C211yesmaximal, characteristic, complemented
22C4×#13094009C211yesmaximal, characteristic, complemented
23C4×#13093998C211yesmaximal, characteristic, complemented
24C4×#13093997C211yesmaximal, characteristic, complemented
25C4×#13093995C211yesmaximal, characteristic, complemented
26C4×#13093994C211yesmaximal, characteristic, complemented
27C4×#13093992C211yesmaximal, characteristic, complemented
28C42×C22⋊D47C211yesmaximal, characteristic, complemented
29C4×#13093986C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689709C4116yesdirect product factor
34C2×#13094019C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094004C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093995C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×C4×Dic94C2211yescharacteristic, complemented
46C2×C4×D188C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic, complemented
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic
59C2×C42×D47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic, complemented
61#15689028C2211yescharacteristic, complemented
62#15689027C2211yescharacteristic, complemented
63#15689027C2211yescharacteristic, complemented
64#15689026C2211yescharacteristic
65#15689025C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic, complemented
69#15689022C2211yescharacteristic, complemented
70#15689021C2211yescharacteristic, complemented
71#15689020C2211yescharacteristic, complemented
72#15689019C2211yescharacteristic, complemented
73#15689017C2211yescharacteristic
74#15689016C2211yescharacteristic
75#15689016C2211yescharacteristic
76#15689016C2211yescharacteristic, complemented
77#15689016C2211yescharacteristic, complemented
78#15689015C2211yescharacteristic
79#15689015C2211yescharacteristic
80#15689015C2211yescharacteristic, complemented
81#15689014C2211yescharacteristic
82#15689014C2211yescharacteristic, complemented
83#15689013C2211yescharacteristic
84#15689013C2211yescharacteristic
85#15689012C2211yescharacteristic
86#15689012C2211yescharacteristic
87#15689012C2211yescharacteristic
88#15689012C2211yescharacteristic, complemented
89#15689012C2211yescharacteristic, complemented
90#15689011C2211yescharacteristic
91#15689011C2211yescharacteristic
92#15689011C2211yescharacteristic
93#15689011C2211yescharacteristic, complemented
94#15689011C2211yescharacteristic, complemented
95#15689010C2211yescharacteristic, complemented
96#15689010C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689009C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689008C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689006C2211yescharacteristic, complemented
103#15689005C2211yescharacteristic, complemented
104#15689004C2211yescharacteristic, complemented
105#15689003C2211yescharacteristic
106#15689002C2211yescharacteristic
107#15689002C2211yescharacteristic, complemented
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689000C2211yescharacteristic
113#15688999C2211yescharacteristic
114#15688999C2211yescharacteristic
115#15688999C2211yescharacteristic
116#15688999C2211yescharacteristic
117#15688999C2211yescharacteristic, complemented
118#15688998C2211yescharacteristic
119#15688997C2211yescharacteristic
120#15688997C2211yescharacteristic
121#15688997C2211yescharacteristic
122#15688997C2211yescharacteristic
123#15688995C2211yescharacteristic
124#15688994C2211yescharacteristic
125#15688994C2211yescharacteristic
126#15688994C2211yescharacteristic, complemented
127#15688990C2211yescharacteristic, complemented
128#15688990C2211yescharacteristic, complemented
129#15688987C2211yescharacteristic, complemented
130#15688987C2211yescharacteristic, complemented
131#15688985C2211yescharacteristic, complemented
132#15688983C2211yescharacteristic, complemented
133#15688982C2211yescharacteristic
134#15688980C2211yescharacteristic
135#15688980C2211yescharacteristic, complemented
136#15688978C2211yescharacteristic
137#15688978C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic, complemented
139C4⋊C4×Dic47C2211yescharacteristic, complemented
140C4×Dic47⋊C4C2211yescharacteristic, complemented
141C4×Dic47⋊C4C2211yescharacteristic, complemented
142C4×Dic47⋊C4C2211yescharacteristic, complemented
143C4×Dic47⋊C4C2211yescharacteristic, complemented
144C4×C4⋊Dic47C2211yescharacteristic, complemented
145C4×C4⋊Dic47C2211yescharacteristic, complemented
146C22⋊C4×Dic47C2211yescharacteristic
147C22⋊C4×Dic47C2211yescharacteristic
148C4×(C2×D47)⋊C4C2211yescharacteristic
149C4×(C2×D47)⋊C4C2211yescharacteristic
150C4×(C2×D47)⋊C4C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×C22⋊Dic47C2211yescharacteristic
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic, complemented
161C4×C22⋊Dic47C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C22×C42×C47C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#385C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C22×C4×D47—24no—
198C22×C4×D47—42no—
199C22×C4×D47—42no—
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019C2×C418yescomplemented
212#13094017C2×C418yescomplemented
213#13094010C2×C418yescomplemented
214#13094010C2×C418yescomplemented
215#13094009C2×C418yescomplemented
216#13094004C2×C418yescomplemented
217#13093998C2×C418yescomplemented
218#13093997C2×C418yescomplemented
219#13093995C2×C418yescomplemented
220#13093994C2×C418yescomplemented
221#13093992C2×C418yescomplemented
222C4×Dic94—42no—
223C4×D188—24no—
224C4×D188—42no—
225#13093986—24no—
226#13093986C2×C418yescomplemented
227C4×C22⋊D47—24no—
228C4×C22⋊D47—24no—
229C4×C22⋊D47—42no—
230C4×C22⋊D47—42no—
231C4×C22⋊D47—42no—
232C4×C22⋊D47C2×C418yescomplemented
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C22⋊C4×D47—24no—
285C22⋊C4×D47C2×C418yescomplemented
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C42×D47—42no—
306C42×D47—42no—
307C42×D47—42no—
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
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47C2×C418yescomplemented
344C4×D4×C47—42no—
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
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—42no—
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×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×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47C22×C414yescomplemented
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47C22×C414yes—
425C2×C22⋊D47C22×C414yes—
426C2×C22⋊D47C22×C414yes—
427C2×C22⋊D47C22×C414yescomplemented
428C22×Dic47—22no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188C22×C414yes—
449C2×D188C22×C414yes—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—416no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47C22×C414yes—
480C2×C4×D47C22×C414yes—
481C2×C4×D47C22×C414yescomplemented
482C2×C4×D47#4114yes—
483C2×C4×D47#4114yes—
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47C22×C414yescomplemented
491C4⋊C4×C47C22×C414yescomplemented
492C22⋊C4×C47—22no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47C22×C414yes—
498C22⋊C4×C47C22×C414yes—
499C22⋊C4×C47C22×C414yescomplemented
500C42×C47—22no—
501C42×C47—22no—
502C42×C47—22no—
503C42×C47—22no—
504C42×C47—22no—
505C42×C47—41no—
506C42×C47—41no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47C22×C414yes—
515C22⋊Dic47C22×C414yes—
516C22⋊Dic47C22×C414yescomplemented
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4C22×C414yes—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yescomplemented
540(C2×D47)⋊C4C22×C414yescomplemented
541C4⋊Dic47—22no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47C22×C414yescomplemented
547C4⋊Dic47C22×C414yescomplemented
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4C22×C414yescomplemented
557Dic47⋊C4C22×C414yescomplemented
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
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—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47C23×C412yes—
590C23×C47C23×C412yes—
591C23×C47C2511yescharacteristic
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—28no—
609C22×D47—44no—
610C22×D47—44no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47C23×C412yes—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47C2×#4112yes—
619C22×D47C2×#4112yes—
620D4×C47—44no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—44no—
652C2×C4×C47—44no—
653C2×C4×C47—44no—
654C2×C4×C47—44no—
655C2×C4×C47C23×C412yes—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C2×#4112yes—
661C2×C4×C47C2×#4112yes—
662C2×C4×C47H(5,𝔽2)12yes—
663C2×C4×C47H(5,𝔽2)12yes—
664C22⋊D47—28no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C22⋊D47—44no—
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—44no—
701C2×Dic47C23×C412yes—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47C2×#4112yes—
707C2×Dic47C2×#4112yes—
708D188—28no—
709D188—44no—
710C4×D47—28no—
711C4×D47—44no—
712C4×D47—44no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
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—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47C24×C411yescharacteristic
738C22×C47C22×#4111yescharacteristic
739C22×C47C22×#4111yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47#58511yescharacteristic
743C22×C47#58511yescharacteristic
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—416no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47C4×#4114yes—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47#53814yescomplemented
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×#123D4711yescharacteristic, complemented
815C4×#121—471no—
816C4×#121—471no—
817C4×#121—471no—
818C4×#120—471no—
819C4×#120—471no—
820C42×D4—471no—
821C42×D4—471no—
822C2×C4×C22⋊C4—471no—
823C2×C47—42no—
824C2×C47—42no—
825C2×C47C2×C4×#4111yescharacteristic
826C2×C47C4×H(5,𝔽2)11yescharacteristic
827C2×C47C4×H(5,𝔽2)11yescharacteristic
828C2×C47C2×#53811yescharacteristic
829C2×C47#345511yescharacteristic
830C2×C47#345911yescharacteristic
831C2×C47#346011yescharacteristic
832D47—24no—
833D47—42no—
834D47—42no—
835C24×C4—471no—
836#538—4716no—
837C2×#126—471no—
838C2×#126—471no—
839C2×#124—471no—
840C2×#124—471no—
841C2×#123—471no—
842C2×#123C2×D4711yescharacteristic
843C2×C22⋊Q8—471no—
844C2×#121—471no—
845C2×#121—471no—
846C2×#121—471no—
847C2×#120—471no—
848C2×#120—471no—
849C2×C4×Q8—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4C2×D4711yescharacteristic
861C22×C22⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C42—471no—
864C22×C42—471no—
865C22×C42—471no—
866C22×C42C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic
902#388C2×D4711yescharacteristic
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#387C2×D4711yescharacteristic, complemented
914#387C2×D4711yescharacteristic, complemented
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#386—471no—
927#386—471no—
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#385—471no—
937#385—471no—
938#385C2×D4711yescharacteristic, complemented
939#383—471no—
940#383—471no—
941#382—471no—
942#382—471no—
943#381—471no—
944#381C2×D4711yescharacteristic, complemented
945#380—471no—
946#380—471no—
947#380—471no—
948#380—471no—
949#379—471no—
950#379—471no—
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⋊C4C2×D4711yescharacteristic, complemented
960C4×C4⋊C4C2×D4711yescharacteristic, complemented
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, complemented
987C2×#95—471no—
988C2×#95—471no—
989C43—471no—
990C43—471no—
991C47C4×#53811yescharacteristic, complemented, Sylow
992C25—471no—
993C22×Q8—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4C22×D4711yescharacteristic
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
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×C4—944no—
1014C23×C4—1882no—
1015C23×C4—1882no—
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#123C4×D4718yescomplemented
1026C22⋊Q8—478no—
1027#121—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×D4—42no—
1034C4×D4—478no—
1035C4×D4—478no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—1882no—
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⋊C4C22×D4711yescharacteristic
1062C2×C4⋊C4C22×D4711yescharacteristic
1063C2×C4⋊C4C22×D4711yescharacteristic
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—478no—
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—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—944no—
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—42no—
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—1882no—
1131C2×C42—1882no—
1132C2×C42—1882no—
1133C2×C42C22×D4711yescharacteristic
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—474no—
1184C24—942no—
1185C24—942no—
1186C24—1881no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C2×Q8—474no—
1193C2×Q8—1881no—
1194C2×Q8—1881no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—474no—
1203C2×D4—942no—
1204C2×D4—942no—
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×D4—1881no—
1214C2×D4—1881no—
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—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—474no—
1235C22×C4—474no—
1236C22×C4—474no—
1237C22×C4—474no—
1238C22×C4—474no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
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—18816no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4C2×C4×D4714yescomplemented
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—474no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—1881no—
1302C4⋊C4—1881no—
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⋊C4C2×C4×D4714yescomplemented
1312C4⋊C4C2×C4×D4714yescomplemented
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—474no—
1319C22⋊C4—474no—
1320C22⋊C4—474no—
1321C22⋊C4—474no—
1322C22⋊C4—474no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4C2×C4×D4714yes—
1353C22⋊C4C2×C4×D4714yes—
1354C22⋊C4C2×C4×D4714yescomplemented
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—41no—
1361C42—41no—
1362C42—474no—
1363C42—474no—
1364C42—942no—
1365C42—942no—
1366C42—942no—
1367C42—942no—
1368C42—942no—
1369C42—942no—
1370C42—942no—
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—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—472no—
1394C23—472no—
1395C23—472no—
1396C23—472no—
1397C23—472no—
1398C23—948no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—1884no—
1416C23—1884no—
1417C23—1884no—
1418C23—1884no—
1419C23—1884no—
1420C23—1884no—
1421C23C22×C4×D4712yes—
1422C23C22×C4×D4712yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
1425D4—44no—
1426D4—948no—
1427D4—948no—
1428D4—1884no—
1429D4—1884no—
1430D4—1884no—
1431D4—1884no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—941no—
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—948no—
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—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C2×C4—1884no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4C22×C4×D4712yes—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4#41×D4712yes—
1523C2×C4#41×D4712yes—
1524C2×C4#1309406912yes—
1525C2×C4#1309407012yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—474no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—18816no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22C23×C4×D4711yescharacteristic
1563C22C2×#41×D4711yescharacteristic
1564C22C2×#41×D4711yescharacteristic
1565C22C2×#1309406911yescharacteristic
1566C22C2×#1309407011yescharacteristic
1567C22#1568995911yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4#1568970914yesdirect product factor
1595C2—42no—
1596C2—42no—
1597C2—944no—
1598C2—1882no—
1599C2—1882no—
1600C2C4×#41×D4711yescharacteristic
1601C2C4×#1309406911yescharacteristic
1602C2C4×#1309407011yescharacteristic
1603C2C2×#1568970911yescharacteristic
1604C2#2025677111yescharacteristic
1605C2#2025679511yescharacteristic
1606C2#2025680911yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC4×#123×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689709C2
hypercenterC4×#123D47
hypocenterC47C4×#538
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #20246202C2semidirect
3. #20246199C2semidirect
4. #20246182C2semidirect
5. #20246177C2semidirect
6. #20246169C2semidirect
7. #20246160C2semidirect
8. #20246150C2semidirect
9. #20246149C2semidirect
10. #20246117C2semidirect
11. #20246085C2semidirect
12. #20246044C2semidirect
13. #20246041C2semidirect
14. #20246020C2semidirect
15. #20246017C2semidirect
16. #20245982C2semidirect
17. C4×#13094019C2semidirect
18. C4×#13094017C2semidirect
19. C4×#13094010C2semidirect
20. C4×#13094010C2semidirect
21. C4×#13094004C2semidirect
22. C4×#13094009C2semidirect
23. C4×#13093998C2semidirect
24. C4×#13093997C2semidirect
25. C4×#13093995C2semidirect
26. C4×#13093994C2semidirect
27. C4×#13093992C2semidirect
28. C42×C22⋊D47C2semidirect
29. C4×#13093986C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C4×#123×C47C2semidirect
33. #15689709C4direct (N × H)
45. C2×C4×Dic94C22semidirect
55. C2×C4×C22⋊D47C22semidirect
60. C2×C42×D47C22semidirect
61. #15689028C22semidirect
62. #15689027C22semidirect
63. #15689027C22semidirect
68. #15689023C22semidirect
69. #15689022C22semidirect
70. #15689021C22semidirect
71. #15689020C22semidirect
72. #15689019C22semidirect
76. #15689016C22semidirect
77. #15689016C22semidirect
80. #15689015C22semidirect
82. #15689014C22semidirect
88. #15689012C22semidirect
89. #15689012C22semidirect
93. #15689011C22semidirect
94. #15689011C22semidirect
95. #15689010C22semidirect
96. #15689010C22semidirect
97. #15689009C22semidirect
98. #15689009C22semidirect
99. #15689008C22semidirect
100. #15689008C22semidirect
101. #15689008C22semidirect
102. #15689006C22semidirect
103. #15689005C22semidirect
104. #15689004C22semidirect
107. #15689002C22semidirect
117. #15688999C22semidirect
126. #15688994C22semidirect
127. #15688990C22semidirect
128. #15688990C22semidirect
129. #15688987C22semidirect
130. #15688987C22semidirect
131. #15688985C22semidirect
132. #15688983C22semidirect
135. #15688980C22semidirect
138. C4⋊C4×Dic47C22semidirect
139. C4⋊C4×Dic47C22semidirect
140. C4×Dic47⋊C4C22semidirect
141. C4×Dic47⋊C4C22semidirect
142. C4×Dic47⋊C4C22semidirect
143. C4×Dic47⋊C4C22semidirect
144. C4×C4⋊Dic47C22semidirect
145. C4×C4⋊Dic47C22semidirect
156. C4×(C2×D47)⋊C4C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
160. C4×C22⋊Dic47C22semidirect
161. C4×C22⋊Dic47C22semidirect
162. C4×C22⋊Dic47C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
175. C22×C42×C47C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
181. C47×#385C22semidirect
182. C47×#381C22semidirect
183. C4×C4⋊C4×C47C22semidirect
184. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
211. #13094019C2×C4semidirect
212. #13094017C2×C4semidirect
213. #13094010C2×C4semidirect
214. #13094010C2×C4semidirect
215. #13094009C2×C4semidirect
216. #13094004C2×C4semidirect
217. #13093998C2×C4semidirect
218. #13093997C2×C4semidirect
219. #13093995C2×C4semidirect
220. #13093994C2×C4semidirect
221. #13093992C2×C4semidirect
226. #13093986C2×C4semidirect
232. C4×C22⋊D47C2×C4semidirect
285. C22⋊C4×D47C2×C4semidirect
343. #123×C47C2×C4semidirect
402. C22×C4×C47C22×C4semidirect
427. C2×C22⋊D47C22×C4semidirect
481. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
490. C4⋊C4×C47C22×C4semidirect
491. C4⋊C4×C47C22×C4semidirect
499. C22⋊C4×C47C22×C4semidirect
516. C22⋊Dic47C22×C4semidirect
539. (C2×D47)⋊C4C22×C4semidirect
540. (C2×D47)⋊C4C22×C4semidirect
546. C4⋊Dic47C22×C4semidirect
547. C4⋊Dic47C22×C4semidirect
556. Dic47⋊C4C22×C4semidirect
557. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
778. C4×C47#538semidirect
814. C4×#123D47semidirect
866. C22×C42C2×D47semidirect
913. #387C2×D47semidirect
914. #387C2×D47semidirect
938. #385C2×D47semidirect
944. #381C2×D47semidirect
959. C4×C4⋊C4C2×D47semidirect
960. C4×C4⋊C4C2×D47semidirect
986. C4×C22⋊C4C2×D47semidirect
991. C47C4×#538semidirect
1025. #123C4×D47semidirect
1277. C22×C4C2×C4×D47semidirect
1311. C4⋊C4C2×C4×D47semidirect
1312. C4⋊C4C2×C4×D47semidirect
1354. C22⋊C4C2×C4×D47semidirect
1594. C4#15689709direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897092
#202462022
#202461992
#202461822
#202461772
#202461692
#202461602
#202461502
#202461492
#202461172
#202460852
#202460442
#202460412
#202460202
#202460172
#202459822
C4×#130940192
C4×#130940172
C4×#130940102
C4×#130940042
C4×#130940092
C4×#130939982
C4×#130939972
C4×#130939952
C4×#130939942
C4×#130939922
C42×C22⋊D472
C4×#130939862
C4×C22⋊C4×D472
C4×#123×C472
C4×#53847