Finite Group Databasebeta

← #26388968

Subgroups — #26388968

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D47C211yesmaximal, characteristic, complemented
3#20251701C211yesmaximal, characteristic, complemented
4#20251694C211yesmaximal, characteristic, complemented
5#20251675C211yesmaximal, characteristic, complemented
6#20249308C211yesmaximal, characteristic, complemented
7#20249289C211yesmaximal, characteristic, complemented
8#20249260C211yesmaximal, characteristic, complemented
9#20249227C211yesmaximal, characteristic, complemented
10#20247633C211yesmaximal, characteristic, complemented
11#20247536C211yesmaximal, characteristic, complemented
12#20247423C211yesmaximal, characteristic, complemented
13#20247386C211yesmaximal, characteristic, complemented
14#20247347C211yesmaximal, characteristic, complemented
15#20247267C211yesmaximal, characteristic, complemented
16#20247201C211yesmaximal, characteristic, complemented
17#20247196C211yesmaximal, characteristic, complemented
18#20247120C211yesmaximal, characteristic, complemented
19#20247053C211yesmaximal, characteristic, complemented
20#20246938C211yesmaximal, characteristic, complemented
21#20246862C211yesmaximal, characteristic, complemented
22#20246846C211yesmaximal, characteristic, complemented
23#20246783C211yesmaximal, characteristic, complemented
24#20246758C211yesmaximal, characteristic
25#20246713C211yesmaximal, characteristic, complemented
26#20246090C211yesmaximal, characteristic, complemented
27#20246055C211yesmaximal, characteristic, complemented
28#20246017C211yesmaximal, characteristic, complemented
29#20245893C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689716—28no—
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic
40C2×#13094006C2211yescharacteristic
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094005C2211yescharacteristic, complemented
43C2×#13094003C2211yescharacteristic
44C2×#13094003C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13094002C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13093995C2211yescharacteristic
49C2×#13093995C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×D4×Dic47C2211yescharacteristic
52C2×C4×C22⋊D47—28no—
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
63C22×Dic47⋊C4C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic, complemented
65C2×C4⋊C4×D47C2211yescharacteristic, complemented
66C22×C22⋊Dic47C2211yescharacteristic
67C22×(C2×D47)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic, complemented
74#15689058C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689050C2211yescharacteristic, complemented
83#15689048C2211yescharacteristic, complemented
84#15689048C2211yescharacteristic, complemented
85#15689047C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic, complemented
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic, complemented
98#15689037C2211yescharacteristic, complemented
99#15689037C2211yescharacteristic, complemented
100#15689036C2211yescharacteristic, complemented
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689020C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689019C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689011C2211yescharacteristic, complemented
112#15689011C2211yescharacteristic, complemented
113#15689011C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689010C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689010C2211yescharacteristic, complemented
118#15689009C2211yescharacteristic, complemented
119#15689008C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689006C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic, complemented
133#15688999C2211yescharacteristic, complemented
134#15688999C2211yescharacteristic, complemented
135#15688998C2211yescharacteristic
136#15688998C2211yescharacteristic
137#15688998C2211yescharacteristic
138#15688997C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic
145#15688996C2211yescharacteristic
146#15688996C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic
153#15688995C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688987C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic
161#15688983C2211yescharacteristic, complemented
162#15688983C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic
165#15688981C2211yescharacteristic
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic, complemented
176C2×#123×C47C2211yescharacteristic, complemented
177C2×#120×C47C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#381C2211yescharacteristic, complemented
188C47×#379C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—24no—
193C22×C22⋊D47—24no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215#13094017—24no—
216#13094017—24no—
217#13094015—24no—
218#13094014—24no—
219#13094006—24no—
220#13094006—24no—
221#13094006—24no—
222#13094005—24no—
223#13094003—24no—
224#13094003—42no—
225#13094003—42no—
226#13094002—24no—
227#13094001—24no—
228#13093995—24no—
229#13093995—24no—
230#13093992—24no—
231D4×Dic47—42no—
232C4×C22⋊D47—24no—
233C4×C22⋊D47—24no—
234C4×C22⋊D47—24no—
235C4×C22⋊D47—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47D418yescomplemented
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4—42no—
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×Dic47⋊C4—24no—
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C4⋊C4×D47—24no—
274C4⋊C4×D47—42no—
275C2×C22⋊Dic47—24no—
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×(C2×D47)⋊C4—24no—
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C22⋊C4×D47—24no—
313C22⋊C4×D47—42no—
314C2×C4×Dic47—24no—
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
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
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C25×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47—24no—
355C23×C4×C47—42no—
356C23×C4×C47—42no—
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363#123×C47—24no—
364#123×C47—42no—
365#120×C47—42no—
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47#4114yes—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—416no—
438C22×C4×C47C2×D414yes—
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C2×C22⋊D47—232no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47C2×D414yes—
468C2×C22⋊D47#4114yes—
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—416no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47C2×D414yes—
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—41no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47C2×D414yes—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4C2×D414yes—
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—41no—
582C4⋊Dic47—41no—
583C4⋊Dic47—41no—
584C4⋊Dic47—41no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4C2×D414yes—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—28no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—44no—
637C23×C47—44no—
638C23×C47—44no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47C22×D412yes—
643C23×C47C2×#4112yes—
644C23×C47C2×#4112yes—
645C23×C47H(5,𝔽2)12yes—
646C23×C472−1+412yes—
647C23×C47C2511yescharacteristic
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—28no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—28no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47C22×D412yes—
666C22×D47C2×#4112yes—
667C22×D47C2×#4112yes—
668C22×D47C2×#4112yes—
669D4×C47—44no—
670D4×C47—82no—
671D4×C47—82no—
672C2×C4×C47—28no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—44no—
704C2×C4×C47—44no—
705C2×C4×C47—44no—
706C2×C4×C47—44no—
707C2×C4×C47—44no—
708C2×C4×C47C22×D412yes—
709C2×C4×C47C22×D412yes—
710C2×C4×C47H(5,𝔽2)12yes—
711C22⋊D47—28no—
712C22⋊D47—28no—
713C22⋊D47—28no—
714C22⋊D47—28no—
715C22⋊D47—44no—
716C22⋊D47—44no—
717C2×Dic47—28no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—44no—
757C2×Dic47—44no—
758C2×Dic47—82no—
759C2×Dic47C22×D412yes—
760C2×Dic47C22×D412yes—
761C2×Dic47C22×D412yes—
762C2×Dic47C2×#4112yes—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—82no—
770C4×D47—82no—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—416no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47#53914yescomplemented
802C22×C47C23×D411yescharacteristic
803C22×C47C22×#4111yescharacteristic
804C22×C47C22×#4111yescharacteristic
805C22×C47C2×H(5,𝔽2)11yescharacteristic
806C22×C47C2×H(5,𝔽2)11yescharacteristic
807C22×C47C2×2−1+411yescharacteristic
808C22×C47#58511yescharacteristic
809C2×D47—22no—
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—416no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47#52514yes—
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—22no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835Dic47—22no—
836Dic47—22no—
837Dic47—22no—
838Dic47—22no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849D4711yescharacteristic, complemented
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—42no—
882C2×C47—42no—
883C2×C47—81no—
884C2×C47C2×#52511yescharacteristic
885C2×C47C2×#53911yescharacteristic
886C2×C47#345911yescharacteristic
887C2×C47#348411yescharacteristic
888C2×C47#348911yescharacteristic
889C2×C47#351311yescharacteristic
890C2×C47#352011yescharacteristic
891D47—24no—
892D47—42no—
893C23×D4—471no—
894C24×C4—471no—
895C24×C4C2×D4711yescharacteristic
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123C2×D4711yescharacteristic, complemented
906C2×#123C2×D4711yescharacteristic, complemented
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120C2×D4711yescharacteristic
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—471no—
927C2×C4×D4—948no—
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4—471no—
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394—471no—
964#394—471no—
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386C2×D4711yescharacteristic
1001#386C2×D4711yescharacteristic
1002#386C2×D4711yescharacteristic, complemented
1003#386C2×D4711yescharacteristic, complemented
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385C2×D4711yescharacteristic
1027#385C2×D4711yescharacteristic
1028#385C2×D4711yescharacteristic, complemented
1029#385C2×D4711yescharacteristic, complemented
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381C2×D4711yescharacteristic, complemented
1034#381C2×D4711yescharacteristic, complemented
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379C2×D4711yescharacteristic
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25—471no—
1052C25C22×D4711yescharacteristic
1053C22×Q8—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—944no—
1061C22×D4—944no—
1062C22×D4—944no—
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—24no—
1067C23×C4—42no—
1068C23×C4—42no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—944no—
1082C23×C4—1882no—
1083C23×C4—1882no—
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—24no—
1095#123—42no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—944no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—42no—
1108#120—944no—
1109C4×D4—478no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—1882no—
1119C4×D4—1882no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—944no—
1151C2×C4⋊C4—944no—
1152C2×C4⋊C4—1882no—
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—944no—
1193C2×C22⋊C4—944no—
1194C2×C22⋊C4—944no—
1195C2×C22⋊C4—1882no—
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—944no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248#95C22×D4711yescharacteristic
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—41no—
1259C24—41no—
1260C24—471no—
1261C24—471no—
1262C24—474no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—942no—
1267C24—1881no—
1268C24—1881no—
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—474no—
1286C2×D4—474no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—9432no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—942no—
1299C2×D4—942no—
1300C2×D4—942no—
1301C2×D4—942no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—416no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—474no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—471no—
1331C22×C4—471no—
1332C22×C4—471no—
1333C22×C4—471no—
1334C22×C4—471no—
1335C22×C4—471no—
1336C22×C4—471no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—18816no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4D4×D4714yes—
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—474no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—474no—
1433C22⋊C4—474no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C42—474no—
1468C42—942no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—1881no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—472no—
1505C23—472no—
1506C23—472no—
1507C23—472no—
1508C23—948no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—948no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23C2×D4×D4712yes—
1526C23#41×D4712yes—
1527C23#41×D4712yes—
1528C23#1309406912yes—
1529C23#1309407112yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—44no—
1533D4—82no—
1534D4—82no—
1535D4—948no—
1536D4—948no—
1537D4—948no—
1538D4—948no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—472no—
1578C2×C4—472no—
1579C2×C4—472no—
1580C2×C4—472no—
1581C2×C4—948no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—3762no—
1621C2×C4—3762no—
1622C2×C4—3762no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4C2×D4×D4712yes—
1632C2×C4C2×D4×D4712yes—
1633C2×C4#1309406912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—474no—
1663C22—942no—
1664C22—942no—
1665C22—942no—
1666C22—942no—
1667C22—942no—
1668C22—942no—
1669C22—942no—
1670C22—942no—
1671C22—942no—
1672C22—18816no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22#1568971614yescomplemented
1678C22C22×D4×D4711yescharacteristic
1679C22C2×#41×D4711yescharacteristic
1680C22C2×#41×D4711yescharacteristic
1681C22C2×#1309406911yescharacteristic
1682C22C2×#1309406911yescharacteristic
1683C22C2×#1309407111yescharacteristic
1684C22#1568995911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—942no—
1697C4—942no—
1698C4—942no—
1699C4—942no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—944no—
1715C2—1882no—
1716C2#525×D4711yescharacteristic
1717C2C2×#1568971611yescharacteristic
1718C2#2025679511yescharacteristic
1719C2#2025701711yescharacteristic
1720C2#2025706011yescharacteristic
1721C2#2025732011yescharacteristic
1722C2#2025742511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2849C2
prime radical#20246758C2
hypercenter#2849D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C22×C4×C22⋊D47C2semidirect
3. #20251701C2semidirect
4. #20251694C2semidirect
5. #20251675C2semidirect
6. #20249308C2semidirect
7. #20249289C2semidirect
8. #20249260C2semidirect
9. #20249227C2semidirect
10. #20247633C2semidirect
11. #20247536C2semidirect
12. #20247423C2semidirect
13. #20247386C2semidirect
14. #20247347C2semidirect
15. #20247267C2semidirect
16. #20247201C2semidirect
17. #20247196C2semidirect
18. #20247120C2semidirect
19. #20247053C2semidirect
20. #20246938C2semidirect
21. #20246862C2semidirect
22. #20246846C2semidirect
23. #20246783C2semidirect
25. #20246713C2semidirect
26. #20246090C2semidirect
27. #20246055C2semidirect
28. #20246017C2semidirect
29. #20245893C2semidirect
30. #385×D47C2semidirect
31. C47×#2849C2semidirect
35. C2×#13094017C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
41. C2×#13094006C22semidirect
42. C2×#13094005C22semidirect
44. C2×#13094003C22semidirect
45. C2×#13094003C22semidirect
46. C2×#13094002C22semidirect
47. C2×#13094001C22semidirect
61. C2×(C22⋊D47)⋊C4C22semidirect
62. C2×(C22⋊D47)⋊C4C22semidirect
64. C2×C4⋊C4×D47C22semidirect
65. C2×C4⋊C4×D47C22semidirect
71. #15689065C22semidirect
72. #15689059C22semidirect
73. #15689059C22semidirect
74. #15689058C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689055C22semidirect
79. #15689052C22semidirect
80. #15689051C22semidirect
81. #15689051C22semidirect
82. #15689050C22semidirect
83. #15689048C22semidirect
84. #15689048C22semidirect
85. #15689047C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
88. #15689045C22semidirect
89. #15689044C22semidirect
94. #15689039C22semidirect
97. #15689038C22semidirect
98. #15689037C22semidirect
99. #15689037C22semidirect
100. #15689036C22semidirect
103. #15689020C22semidirect
104. #15689020C22semidirect
105. #15689019C22semidirect
106. #15689018C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689011C22semidirect
112. #15689011C22semidirect
113. #15689011C22semidirect
114. #15689011C22semidirect
115. #15689010C22semidirect
116. #15689010C22semidirect
117. #15689010C22semidirect
118. #15689009C22semidirect
119. #15689008C22semidirect
120. #15689008C22semidirect
121. #15689006C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
124. #15689004C22semidirect
127. #15689003C22semidirect
132. #15688999C22semidirect
133. #15688999C22semidirect
134. #15688999C22semidirect
138. #15688997C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
146. #15688996C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
149. #15688996C22semidirect
153. #15688995C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688990C22semidirect
158. #15688987C22semidirect
159. #15688985C22semidirect
161. #15688983C22semidirect
162. #15688983C22semidirect
163. #15688982C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
175. C2×#123×C47C22semidirect
176. C2×#123×C47C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#381C22semidirect
187. C47×#381C22semidirect
239. C4×C22⋊D47D4semidirect
801. C22×C47#539semidirect
853. #2849D47semidirect
905. C2×#123C2×D47semidirect
906. C2×#123C2×D47semidirect
1002. #386C2×D47semidirect
1003. #386C2×D47semidirect
1028. #385C2×D47semidirect
1029. #385C2×D47semidirect
1033. #381C2×D47semidirect
1034. #381C2×D47semidirect
1050. C47#34991semidirect
1677. C22#15689716semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C22×C4×C22⋊D472
#202517012
#202516942
#202516752
#202493082
#202492892
#202492602
#202492272
#202476332
#202475362
#202474232
#202473862
#202473472
#202472672
#202472012
#202471962
#202471202
#202470532
#202469382
#202468622
#202468462
#202467832
#202467582
#202467132
#202460902
#202460552
#202460172
#202458932
#385×D472
C47×#28492
#3499147