Finite Group Databasebeta

← C4×#15689706 #26375341

Subgroups — C4×#15689706 #26375341

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×#15689706C211yesmaximal, characteristic
2#20246201C211yesmaximal, characteristic, complemented
3#20246196C211yesmaximal, characteristic, complemented
4#20246178C211yesmaximal, characteristic, complemented
5#20246172C211yesmaximal, characteristic, complemented
6#20246163C211yesmaximal, characteristic, complemented
7#20246157C211yesmaximal, characteristic, complemented
8#20246153C211yesmaximal, characteristic, complemented
9#20246148C211yesmaximal, characteristic, complemented
10#20246116C211yesmaximal, characteristic, complemented
11#20246086C211yesmaximal, characteristic, complemented
12#20246048C211yesmaximal, characteristic, complemented
13#20246042C211yesmaximal, characteristic, complemented
14#20246021C211yesmaximal, characteristic, complemented
15#20246015C211yesmaximal, characteristic, complemented
16#20245983C211yesmaximal, characteristic, complemented
17C4×#13094019C211yesmaximal, characteristic, complemented
18C4×#13094018C211yesmaximal, characteristic, complemented
19C4×#13094012C211yesmaximal, characteristic, complemented
20C4×#13094010C211yesmaximal, characteristic, complemented
21C4×#13094001C211yesmaximal, characteristic, complemented
22C4×#13094009C211yesmaximal, characteristic, complemented
23C4×#13094007C211yesmaximal, characteristic, complemented
24C4×#13093998C211yesmaximal, characteristic, complemented
25C4×#13093997C211yesmaximal, characteristic, complemented
26C4×#13093996C211yesmaximal, characteristic, complemented
27C4×#13093994C211yesmaximal, characteristic, complemented
28C4×#13093992C211yesmaximal, characteristic, complemented
29C42×C22⋊D47C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689706C4116yesdirect product factor
34C2×#13094019C2211yescharacteristic
35C2×#13094018C2211yescharacteristic
36C2×#13094012C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094007C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic, complemented
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic, complemented
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C22×(C2×D47)⋊C4C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic, complemented
59#15689029C2211yescharacteristic, complemented
60#15689027C2211yescharacteristic, complemented
61#15689027C2211yescharacteristic, complemented
62#15689025C2211yescharacteristic
63#15689025C2211yescharacteristic
64#15689023C2211yescharacteristic
65#15689023C2211yescharacteristic
66#15689023C2211yescharacteristic, complemented
67#15689021C2211yescharacteristic, complemented
68#15689020C2211yescharacteristic, complemented
69#15689020C2211yescharacteristic, complemented
70#15689018C2211yescharacteristic, complemented
71#15689017C2211yescharacteristic, complemented
72#15689016C2211yescharacteristic, complemented
73#15689016C2211yescharacteristic, complemented
74#15689015C2211yescharacteristic
75#15689015C2211yescharacteristic
76#15689014C2211yescharacteristic
77#15689014C2211yescharacteristic
78#15689014C2211yescharacteristic
79#15689014C2211yescharacteristic
80#15689014C2211yescharacteristic
81#15689014C2211yescharacteristic
82#15689014C2211yescharacteristic
83#15689014C2211yescharacteristic
84#15689014C2211yescharacteristic, complemented
85#15689014C2211yescharacteristic, complemented
86#15689014C2211yescharacteristic, complemented
87#15689013C2211yescharacteristic
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic, complemented
90#15689012C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic
93#15689012C2211yescharacteristic
94#15689011C2211yescharacteristic, complemented
95#15689010C2211yescharacteristic, complemented
96#15689010C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689009C2211yescharacteristic, complemented
99#15689007C2211yescharacteristic, complemented
100#15689007C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689006C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689003C2211yescharacteristic
108#15689003C2211yescharacteristic
109#15689002C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689002C2211yescharacteristic, complemented
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15689000C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic, complemented
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688997C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688996C2211yescharacteristic, complemented
126#15688995C2211yescharacteristic
127#15688995C2211yescharacteristic
128#15688994C2211yescharacteristic
129#15688994C2211yescharacteristic
130#15688994C2211yescharacteristic, complemented
131#15688991C2211yescharacteristic, complemented
132#15688990C2211yescharacteristic, complemented
133#15688989C2211yescharacteristic, complemented
134#15688987C2211yescharacteristic, complemented
135#15688986C2211yescharacteristic, complemented
136#15688985C2211yescharacteristic, complemented
137#15688983C2211yescharacteristic, complemented
138#15688982C2211yescharacteristic, complemented
139#15688981C2211yescharacteristic
140#15688981C2211yescharacteristic
141#15688978C2211yescharacteristic
142#15688978C2211yescharacteristic
143C4×Dic47⋊C4C2211yescharacteristic, complemented
144C4×Dic47⋊C4C2211yescharacteristic, complemented
145C4×Dic47⋊C4C2211yescharacteristic, complemented
146C4×Dic47⋊C4C2211yescharacteristic, complemented
147C4×Dic47⋊C4C2211yescharacteristic, complemented
148C4×Dic47⋊C4C2211yescharacteristic, complemented
149C4×C4⋊Dic47C2211yescharacteristic, complemented
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
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C42×Dic47C2211yescharacteristic, complemented
173C2×C4×D4×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C22×C42×C47C2211yescharacteristic
177C22×C42×C47C2211yescharacteristic, complemented
178C4×C4⋊C4×C47C2211yescharacteristic, complemented
179C4×C4⋊C4×C47C2211yescharacteristic, complemented
180C4×C4⋊C4×C47C2211yescharacteristic, complemented
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C43×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—24no—
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019C2×C418yescomplemented
210#13094018C2×C418yescomplemented
211#13094012C2×C418yescomplemented
212#13094010C2×C418yescomplemented
213#13094009C2×C418yescomplemented
214#13094007C2×C418yescomplemented
215#13094001C2×C418yescomplemented
216#13093998C2×C418yescomplemented
217#13093997C2×C418yescomplemented
218#13093996C2×C418yescomplemented
219#13093994C2×C418yescomplemented
220#13093992C2×C418yescomplemented
221C4×Dic94—42no—
222C4×D188—42no—
223C4×D188—42no—
224C4×C22⋊D47—24no—
225C4×C22⋊D47—24no—
226C4×C22⋊D47—42no—
227C4×C22⋊D47—42no—
228C4×C22⋊D47—42no—
229C4×C22⋊D47C2×C418yescomplemented
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4—24no—
258C2×(C2×D47)⋊C4C2×C418yescomplemented
259C2×(C2×D47)⋊C4C2311yescharacteristic
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
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×C4×Dic47—42no—
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
301C42×D47—42no—
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
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C4×D4×C47—24no—
344C4×D4×C47—24no—
345C4×D4×C47C2×C418yescomplemented
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C42×C47—42no—
356C2×C42×C47—42no—
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366C2×C42×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×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—22no—
389C2×D4×C47—22no—
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—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47C22×C414yes—
406C22×C4×C47C22×C414yescomplemented
407C22×C4×C47#4114yes—
408C22×C4×C47#4114yes—
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47C22×C414yes—
431C2×C22⋊D47C22×C414yes—
432C2×C22⋊D47C22×C414yes—
433C2×C22⋊D47C22×C414yescomplemented
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47C22×C414yes—
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188C22×C414yes—
461C2×D188C22×C414yes—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—416no—
483C2×C4×D47C22×C414yescomplemented
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47C22×C414yescomplemented
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47C22×C414yes—
495C22⋊C4×C47C22×C414yescomplemented
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—22no—
499C42×C47—22no—
500C42×C47—22no—
501C42×C47—22no—
502C42×C47—41no—
503C42×C47—41no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47C22×C414yescomplemented
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
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—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540(C2×D47)⋊C4C22×C414yes—
541(C2×D47)⋊C4C22×C414yes—
542(C2×D47)⋊C4C22×C414yes—
543(C2×D47)⋊C4C22×C414yescomplemented
544(C2×D47)⋊C4C22×C414yescomplemented
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47C22×C414yescomplemented
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4C22×C414yescomplemented
561Dic47⋊C4C22×C414yescomplemented
562Dic47⋊C4C22×C414yescomplemented
563Dic47⋊C4C22×C414yescomplemented
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—22no—
568C4×Dic47—22no—
569C4×Dic47—22no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47—41no—
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×C47C23×C412yes—
588C23×C47C23×C412yes—
589C23×C47C2×#4112yes—
590C23×C47C2×#4112yes—
591C23×C47C2511yescharacteristic
592C22×D47—28no—
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—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47C23×C412yes—
618C22×D47C23×C412yes—
619C22×D47C23×C412yes—
620D4×C47—28no—
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—28no—
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×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×C47C2×#4112yes—
663C2×C4×C47C2×#4112yes—
664C2×C4×C47H(5,𝔽2)12yes—
665C2×C4×C47H(5,𝔽2)12yes—
666C22⋊D47—28no—
667C22⋊D47—44no—
668C22⋊D47—44no—
669C22⋊D47—44no—
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—21no—
704C2×Dic47—44no—
705C2×Dic47—44no—
706C2×Dic47—44no—
707C2×Dic47C23×C412yes—
708C2×Dic47C23×C412yes—
709C2×Dic47C23×C412yes—
710C2×Dic47C23×C412yes—
711C2×Dic47C23×C412yes—
712D188—44no—
713D188—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—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47C4×#4114yes—
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—416no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
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×D47—41no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
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—41no—
785Dic47—41no—
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×#120—471no—
820C42×D4—471no—
821C42×D4D4711yescharacteristic, complemented
822C2×C4×C22⋊C4—471no—
823C2×C47—24no—
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—42no—
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×#123—471no—
843C2×C22⋊Q8—471no—
844C2×#121—471no—
845C2×#121—471no—
846C2×#121—471no—
847C2×#120—471no—
848C2×#120—471no—
849C2×C4×Q8—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×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×C42C2×D4711yescharacteristic
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#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#386—471no—
927#386—471no—
928#386—471no—
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#385—471no—
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#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⋊C4C2×D4711yescharacteristic, complemented
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⋊C4C2×D4711yescharacteristic
982C4×C22⋊C4C2×D4711yescharacteristic
983C4×C22⋊C4C2×D4711yescharacteristic
984C4×C22⋊C4C2×D4711yescharacteristic, complemented
985C4×C22⋊C4C2×D4711yescharacteristic, complemented
986C4×C22⋊C4C2×D4711yescharacteristic, complemented
987C2×#95—471no—
988C2×#95—471no—
989C43—471no—
990C43C2×D4711yescharacteristic, complemented
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—944no—
1012C23×C4—1882no—
1013C23×C4—1882no—
1014C23×C4C22×D4711yescharacteristic
1015C23×C4C22×D4711yescharacteristic
1016C23×C4C22×D4711yescharacteristic
1017C23×C4C22×D4711yescharacteristic
1018C23×C4C22×D4711yescharacteristic
1019C23×C4C22×D4711yescharacteristic
1020#126—478no—
1021#126—478no—
1022#124—478no—
1023#124—478no—
1024#123—478no—
1025#123—478no—
1026C22⋊Q8—478no—
1027#121—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—478no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040C4×D4—1882no—
1041C4×D4—1882no—
1042C4×D4—1882no—
1043C4×D4C4×D4718yescomplemented
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—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—478no—
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—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—944no—
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—42no—
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—1882no—
1126C2×C42—1882no—
1127C2×C42C22×D4711yescharacteristic
1128C2×C42C22×D4711yescharacteristic
1129C2×C42C22×D4711yescharacteristic
1130C2×C42C22×D4711yescharacteristic
1131C2×C42C22×D4711yescharacteristic
1132C2×C42C22×D4711yescharacteristic
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#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—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—22no—
1196C2×D4—22no—
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—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4C2×C4×D4714yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—474no—
1236C22×C4—474no—
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—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—942no—
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—18816no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4C2×C4×D4714yes—
1275C22×C4C2×C4×D4714yescomplemented
1276C22×C4#1062535014yes—
1277C22×C4#1062535014yes—
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—22no—
1293C4⋊C4—474no—
1294C4⋊C4—474no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—1881no—
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⋊C4—1881no—
1312C4⋊C4C2×C4×D4714yescomplemented
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—474no—
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—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
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⋊C4—1881no—
1353C22⋊C4C2×C4×D4714yes—
1354C22⋊C4C2×C4×D4714yescomplemented
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—474no—
1368C42—942no—
1369C42—942no—
1370C42—942no—
1371C42—942no—
1372C42—942no—
1373C42—942no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42C2×C4×D4714yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—472no—
1392C23—472no—
1393C23—472no—
1394C23—948no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
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—1884no—
1414C23—1884no—
1415C23—1884no—
1416C23—1884no—
1417C23—1884no—
1418C23—1884no—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23C2×#1062535012yes—
1422C23C2×#1062535012yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
1425D4—28no—
1426D4—948no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430D4—1884no—
1431D4—1884no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—28no—
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—44no—
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—941no—
1472C2×C4—941no—
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—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—1884no—
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×C4C22×C4×D4712yes—
1516C2×C4C22×C4×D4712yes—
1517C2×C4C22×C4×D4712yes—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C2×#1062535012yes—
1521C2×C4C2×#1062535012yes—
1522C2×C4C2×#1062535012yes—
1523C2×C4C2×#1062535012yes—
1524C2×C4#1309406912yes—
1525C2×C4#1309407012yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—18816no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22C4×#1062535014yes—
1562C22C23×C4×D4711yescharacteristic
1563C22C22×#1062535011yescharacteristic
1564C22C22×#1062535011yescharacteristic
1565C22C2×#1309406911yescharacteristic
1566C22C2×#1309407011yescharacteristic
1567C22#1568995911yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4#1568970614yesdirect product factor
1595C2—24no—
1596C2—42no—
1597C2—1882no—
1598C2—1882no—
1599C2—1882no—
1600C2C2×C4×#1062535011yescharacteristic
1601C2C4×#1309406911yescharacteristic
1602C2C4×#1309407011yescharacteristic
1603C2C2×#1568970611yescharacteristic
1604C2#2025677311yescharacteristic
1605C2#2025679711yescharacteristic
1606C2#2025680411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC42×D4×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689706C2
hypercenterC42×D4D47
hypocenterC47C4×#538
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #20246201C2semidirect
3. #20246196C2semidirect
4. #20246178C2semidirect
5. #20246172C2semidirect
6. #20246163C2semidirect
7. #20246157C2semidirect
8. #20246153C2semidirect
9. #20246148C2semidirect
10. #20246116C2semidirect
11. #20246086C2semidirect
12. #20246048C2semidirect
13. #20246042C2semidirect
14. #20246021C2semidirect
15. #20246015C2semidirect
16. #20245983C2semidirect
17. C4×#13094019C2semidirect
18. C4×#13094018C2semidirect
19. C4×#13094012C2semidirect
20. C4×#13094010C2semidirect
21. C4×#13094001C2semidirect
22. C4×#13094009C2semidirect
23. C4×#13094007C2semidirect
24. C4×#13093998C2semidirect
25. C4×#13093997C2semidirect
26. C4×#13093996C2semidirect
27. C4×#13093994C2semidirect
28. C4×#13093992C2semidirect
29. C42×C22⋊D47C2semidirect
30. C2×C4×(C2×D47)⋊C4C2semidirect
31. C42×D4×C47C2semidirect
33. #15689706C4direct (N × H)
46. C2×C4×Dic94C22semidirect
54. C2×C4×C22⋊D47C22semidirect
58. C2×C42×D47C22semidirect
59. #15689029C22semidirect
60. #15689027C22semidirect
61. #15689027C22semidirect
66. #15689023C22semidirect
67. #15689021C22semidirect
68. #15689020C22semidirect
69. #15689020C22semidirect
70. #15689018C22semidirect
71. #15689017C22semidirect
72. #15689016C22semidirect
73. #15689016C22semidirect
84. #15689014C22semidirect
85. #15689014C22semidirect
86. #15689014C22semidirect
89. #15689013C22semidirect
94. #15689011C22semidirect
95. #15689010C22semidirect
96. #15689010C22semidirect
97. #15689009C22semidirect
98. #15689009C22semidirect
99. #15689007C22semidirect
100. #15689007C22semidirect
101. #15689007C22semidirect
102. #15689007C22semidirect
103. #15689007C22semidirect
104. #15689006C22semidirect
105. #15689006C22semidirect
106. #15689004C22semidirect
111. #15689002C22semidirect
120. #15688999C22semidirect
125. #15688996C22semidirect
130. #15688994C22semidirect
131. #15688991C22semidirect
132. #15688990C22semidirect
133. #15688989C22semidirect
134. #15688987C22semidirect
135. #15688986C22semidirect
136. #15688985C22semidirect
137. #15688983C22semidirect
138. #15688982C22semidirect
143. C4×Dic47⋊C4C22semidirect
144. C4×Dic47⋊C4C22semidirect
145. C4×Dic47⋊C4C22semidirect
146. C4×Dic47⋊C4C22semidirect
147. C4×Dic47⋊C4C22semidirect
148. C4×Dic47⋊C4C22semidirect
149. C4×C4⋊Dic47C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
169. C4×C22⋊Dic47C22semidirect
172. C42×Dic47C22semidirect
177. C22×C42×C47C22semidirect
178. C4×C4⋊C4×C47C22semidirect
179. C4×C4⋊C4×C47C22semidirect
180. C4×C4⋊C4×C47C22semidirect
184. C4×C22⋊C4×C47C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C43×C47C22semidirect
209. #13094019C2×C4semidirect
210. #13094018C2×C4semidirect
211. #13094012C2×C4semidirect
212. #13094010C2×C4semidirect
213. #13094009C2×C4semidirect
214. #13094007C2×C4semidirect
215. #13094001C2×C4semidirect
216. #13093998C2×C4semidirect
217. #13093997C2×C4semidirect
218. #13093996C2×C4semidirect
219. #13093994C2×C4semidirect
220. #13093992C2×C4semidirect
229. C4×C22⋊D47C2×C4semidirect
258. C2×(C2×D47)⋊C4C2×C4semidirect
345. C4×D4×C47C2×C4semidirect
406. C22×C4×C47C22×C4semidirect
433. C2×C22⋊D47C22×C4semidirect
483. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
489. C4⋊C4×C47C22×C4semidirect
495. C22⋊C4×C47C22×C4semidirect
508. C42×C47C22×C4semidirect
516. C22⋊Dic47C22×C4semidirect
543. (C2×D47)⋊C4C22×C4semidirect
544. (C2×D47)⋊C4C22×C4semidirect
549. C4⋊Dic47C22×C4semidirect
560. Dic47⋊C4C22×C4semidirect
561. Dic47⋊C4C22×C4semidirect
562. Dic47⋊C4C22×C4semidirect
563. Dic47⋊C4C22×C4semidirect
576. C4×Dic47C22×C4semidirect
778. C4×C47#538semidirect
821. C42×D4D47semidirect
866. C22×C42C2×D47semidirect
958. C4×C4⋊C4C2×D47semidirect
959. C4×C4⋊C4C2×D47semidirect
960. C4×C4⋊C4C2×D47semidirect
984. C4×C22⋊C4C2×D47semidirect
985. C4×C22⋊C4C2×D47semidirect
986. C4×C22⋊C4C2×D47semidirect
990. C43C2×D47semidirect
991. C47C4×#538semidirect
1043. C4×D4C4×D47semidirect
1275. C22×C4C2×C4×D47semidirect
1312. C4⋊C4C2×C4×D47semidirect
1354. C22⋊C4C2×C4×D47semidirect
1380. C42C2×C4×D47semidirect
1594. C4#15689706direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897062
#202462012
#202461962
#202461782
#202461722
#202461632
#202461572
#202461532
#202461482
#202461162
#202460862
#202460482
#202460422
#202460212
#202460152
#202459832
C4×#130940192
C4×#130940182
C4×#130940122
C4×#130940102
C4×#130940012
C4×#130940092
C4×#130940072
C4×#130939982
C4×#130939972
C4×#130939962
C4×#130939942
C4×#130939922
C42×C22⋊D472
C2×C4×(C2×D47)⋊C42
C42×D4×C472
C4×#53847