Finite Group Databasebeta

← #26388937

Subgroups — #26388937

Order 12032.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689709C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D47C211yesmaximal, characteristic, complemented
3#20251705C211yesmaximal, characteristic, complemented
4#20251685C211yesmaximal, characteristic, complemented
5#20251670C211yesmaximal, characteristic, complemented
6#20249291C211yesmaximal, characteristic, complemented
7#20249275C211yesmaximal, characteristic, complemented
8#20249244C211yesmaximal, characteristic, complemented
9#20249227C211yesmaximal, characteristic, complemented
10#20247654C211yesmaximal, characteristic, complemented
11#20247511C211yesmaximal, characteristic, complemented
12#20247444C211yesmaximal, characteristic, complemented
13#20247322C211yesmaximal, characteristic, complemented
14#20247287C211yesmaximal, characteristic, complemented
15#20247276C211yesmaximal, characteristic, complemented
16#20247217C211yesmaximal, characteristic, complemented
17#20247137C211yesmaximal, characteristic, complemented
18#20247127C211yesmaximal, characteristic, complemented
19#20247052C211yesmaximal, characteristic, complemented
20#20246923C211yesmaximal, characteristic, complemented
21#20246920C211yesmaximal, characteristic, complemented
22#20246847C211yesmaximal, characteristic, complemented
23#20246764C211yesmaximal, characteristic, complemented
24#20246761C211yesmaximal, characteristic, complemented
25#20246699C211yesmaximal, characteristic, complemented
26#20246085C211yesmaximal, characteristic, complemented
27#20246044C211yesmaximal, characteristic, complemented
28#20246017C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689709—28no—
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic, complemented
41C2×#13094004C2211yescharacteristic, complemented
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13093998C2211yescharacteristic
44C2×#13093998C2211yescharacteristic, complemented
45C2×#13093998C2211yescharacteristic, complemented
46C2×#13093997C2211yescharacteristic
47C2×#13093997C2211yescharacteristic
48C2×#13093996C2211yescharacteristic
49C2×#13093995C2211yescharacteristic, complemented
50C2×#13093994C2211yescharacteristic
51C2×#13093994C2211yescharacteristic, complemented
52C2×#13093993C2211yescharacteristic
53C2×#13093993C2211yescharacteristic, complemented
54C2×#13093992C2211yescharacteristic
55C2×#13093992C2211yescharacteristic
56C2×#13093986C2211yescharacteristic, complemented
57C2×#13093986C2211yescharacteristic, complemented
58C2×C4×C22⋊D47—28no—
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic, complemented
64C2×C4×C22⋊D47C2211yescharacteristic, complemented
65C2×C4×C22⋊D47C2211yescharacteristic, complemented
66C2×C4×C22⋊D47C2211yescharacteristic, complemented
67C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
68C22×Dic47⋊C4C2211yescharacteristic, complemented
69C22×C22⋊Dic47C2211yescharacteristic, complemented
70C22×(C2×D47)⋊C4C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic, complemented
73C2×C22⋊C4×D47C2211yescharacteristic, complemented
74C22×C4×Dic47C2211yescharacteristic, complemented
75#15689064C2211yescharacteristic, complemented
76#15689063C2211yescharacteristic, complemented
77#15689060C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689039C2211yescharacteristic, complemented
91#15689039C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic, complemented
94#15689038C2211yescharacteristic, complemented
95#15689037C2211yescharacteristic, complemented
96#15689036C2211yescharacteristic, complemented
97#15689035C2211yescharacteristic, complemented
98#15689033C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689032C2211yescharacteristic, complemented
102#15689032C2211yescharacteristic, complemented
103#15689032C2211yescharacteristic, complemented
104#15689031C2211yescharacteristic
105#15689031C2211yescharacteristic
106#15689031C2211yescharacteristic, complemented
107#15689027C2211yescharacteristic, complemented
108#15689026C2211yescharacteristic, complemented
109#15689023C2211yescharacteristic, complemented
110#15689023C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic, complemented
120#15689011C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689010C2211yescharacteristic, complemented
124#15689010C2211yescharacteristic, complemented
125#15689009C2211yescharacteristic, complemented
126#15689006C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689004C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689002C2211yescharacteristic, complemented
136#15689002C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic
144#15689000C2211yescharacteristic
145#15689000C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688998C2211yescharacteristic, complemented
154#15688997C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688987C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688983C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic, complemented
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic, complemented
176C2×#123×C47C2211yescharacteristic, complemented
177C2×#120×C47C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#381C2211yescharacteristic, complemented
188C47×#379C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47—24no—
197C22×C22⋊D47—24no—
198C22×C22⋊D47—24no—
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C2×D4×D47—24no—
212C2×D4×D47—42no—
213C2×D4×D47—42no—
214C23×Dic47C2311yescharacteristic
215C23×Dic47C2311yescharacteristic
216C23×Dic47C2311yescharacteristic
217C22×C4×D47—24no—
218C22×C4×D47—42no—
219C22×C4×D47—42no—
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094019—24no—
229#13094017—24no—
230#13094010—24no—
231#13094010—24no—
232#13094009—24no—
233#13094004—24no—
234#13094001—42no—
235#13093998—24no—
236#13093998—42no—
237#13093998—42no—
238#13093997—24no—
239#13093997—24no—
240#13093996—42no—
241#13093995—24no—
242#13093994—24no—
243#13093994—24no—
244#13093993—42no—
245#13093993—42no—
246#13093992—24no—
247#13093992—24no—
248#13093986—24no—
249#13093986—42no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—24no—
252C4×C22⋊D47—24no—
253C4×C22⋊D47—24no—
254C4×C22⋊D47—24no—
255C4×C22⋊D47—24no—
256C4×C22⋊D47—24no—
257C4×C22⋊D47D418yescomplemented
258(C22⋊D47)⋊C4—42no—
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
262C2×C4⋊Dic47C2311yescharacteristic
263C2×C4⋊Dic47C2311yescharacteristic
264C2×C4⋊Dic47C2311yescharacteristic
265C2×Dic47⋊C4—24no—
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×C22⋊Dic47—24no—
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×(C2×D47)⋊C4—24no—
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(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
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C22⋊C4×D47—24no—
322C22⋊C4×D47—42no—
323C22⋊C4×D47—42no—
324C2×C4×Dic47—24no—
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C2×C4×Dic47C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
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
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C25×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C23×C4×C47—24no—
361C23×C4×C47—42no—
362C23×C4×C47—42no—
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366C23×C4×C47C2311yescharacteristic
367C23×C4×C47C2311yescharacteristic
368C23×C4×C47C2311yescharacteristic
369#123×C47—24no—
370#123×C47—42no—
371#120×C47—42no—
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊C4×C47C2311yescharacteristic
375C2×C4⋊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
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—22no—
401C24×C47—22no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47C2411yescharacteristic
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—22no—
413C23×D47—22no—
414C23×D47—22no—
415C23×D47—41no—
416C23×D47—41no—
417C23×D47—41no—
418C23×D47—41no—
419C23×D47—41no—
420C23×D47—41no—
421C23×D47#4114yes—
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C2×D4×C47—41no—
435C22×C4×C47—22no—
436C22×C4×C47—22no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—416no—
453C22×C4×C47C2×D414yescomplemented
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C2×C22⋊D47—232no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—22no—
473C2×C22⋊D47—22no—
474C2×C22⋊D47—22no—
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
477C2×C22⋊D47—22no—
478C2×C22⋊D47—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—22no—
481C2×C22⋊D47—22no—
482C2×C22⋊D47—22no—
483C2×C22⋊D47—22no—
484C2×C22⋊D47—22no—
485C2×C22⋊D47—22no—
486C2×C22⋊D47—22no—
487C2×C22⋊D47—22no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C2×C22⋊D47—41no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47C2×D414yes—
501C2×C22⋊D47#4114yes—
502C22×Dic47—22no—
503C22×Dic47—22no—
504C22×Dic47—22no—
505C22×Dic47—22no—
506C22×Dic47—22no—
507C22×Dic47—22no—
508C22×Dic47—22no—
509C22×Dic47—41no—
510C22×Dic47—41no—
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C22×Dic47C2411yescharacteristic
518C22×Dic47C2411yescharacteristic
519C22×Dic47C2411yescharacteristic
520C22×Dic47C2411yescharacteristic
521C22×Dic47C2411yescharacteristic
522C22×Dic47C2411yescharacteristic
523D4×D47—416no—
524C2×D188—22no—
525C2×D188—22no—
526C2×D188—22no—
527C2×D188—22no—
528C2×D188—22no—
529C2×D188—22no—
530C2×D188—41no—
531C2×D188—41no—
532C2×D188—41no—
533C2×D188—41no—
534C2×D188—41no—
535C2×D188—41no—
536C2×C4×D47—22no—
537C2×C4×D47—22no—
538C2×C4×D47—22no—
539C2×C4×D47—22no—
540C2×C4×D47—22no—
541C2×C4×D47—22no—
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—22no—
545C2×C4×D47—41no—
546C2×C4×D47—41no—
547C2×C4×D47—41no—
548C2×C4×D47—41no—
549C2×C4×D47—41no—
550C2×C4×D47—41no—
551C2×C4×D47—41no—
552C2×C4×D47—41no—
553C2×C4×D47—416no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—41no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47C2×D414yes—
561C2×Dic94—22no—
562C2×Dic94—41no—
563C2×Dic94—41no—
564C4⋊C4×C47—22no—
565C4⋊C4×C47—22no—
566C4⋊C4×C47—22no—
567C4⋊C4×C47—41no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—41no—
577C22⋊C4×C47—41no—
578C22⋊C4×C47—41no—
579C22⋊C4×C47—41no—
580C22⋊C4×C47—41no—
581C22⋊Dic47—22no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584C22⋊Dic47—22no—
585C22⋊Dic47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—41no—
590C22⋊Dic47—41no—
591C22⋊Dic47—41no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47—41no—
595C22⋊Dic47C2×D414yescomplemented
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—41no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4—41no—
620(C2×D47)⋊C4—41no—
621(C2×D47)⋊C4—41no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4C2×D414yes—
624C4⋊Dic47—22no—
625C4⋊Dic47—22no—
626C4⋊Dic47—41no—
627C4⋊Dic47—41no—
628C4⋊Dic47—41no—
629C4⋊Dic47—41no—
630Dic47⋊C4—22no—
631Dic47⋊C4—22no—
632Dic47⋊C4—22no—
633Dic47⋊C4—22no—
634Dic47⋊C4—22no—
635Dic47⋊C4—41no—
636Dic47⋊C4—41no—
637Dic47⋊C4—41no—
638Dic47⋊C4—41no—
639Dic47⋊C4C2×D414yescomplemented
640C4×Dic47—22no—
641C4×Dic47—22no—
642C4×Dic47—22no—
643C4×Dic47—22no—
644C4×Dic47—41no—
645C4×Dic47—41no—
646C4×Dic47C2×D414yescomplemented
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—28no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—44no—
672C23×C47—44no—
673C23×C47—44no—
674C23×C47—44no—
675C23×C47—44no—
676C23×C47—44no—
677C23×C47C22×D412yes—
678C23×C47C2×#4112yes—
679C23×C47C2×#4112yes—
680C23×C47H(5,𝔽2)12yes—
681C23×C47H(5,𝔽2)12yes—
682C23×C47C2511yescharacteristic
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—28no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—28no—
695C22×D47—21no—
696C22×D47—21no—
697C22×D47—21no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—21no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—44no—
710C22×D47—44no—
711C22×D47—44no—
712C22×D47—44no—
713C22×D47—44no—
714C22×D47—44no—
715C22×D47—44no—
716C22×D47—44no—
717C22×D47—82no—
718C22×D47—82no—
719C22×D47—82no—
720C22×D47—82no—
721C22×D47C22×D412yes—
722C22×D47C2×#4112yes—
723C22×D47C2×#4112yes—
724C22×D47C2×#4112yes—
725D4×C47—44no—
726D4×C47—82no—
727D4×C47—82no—
728C2×C4×C47—28no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—44no—
760C2×C4×C47—44no—
761C2×C4×C47—44no—
762C2×C4×C47—44no—
763C2×C4×C47—44no—
764C2×C4×C47C22×D412yes—
765C2×C4×C47C22×D412yes—
766C2×C4×C47H(5,𝔽2)12yes—
767C22⋊D47—28no—
768C22⋊D47—28no—
769C22⋊D47—28no—
770C22⋊D47—28no—
771C22⋊D47—44no—
772C22⋊D47—44no—
773C22⋊D47—44no—
774C22⋊D47—82no—
775C22⋊D47—82no—
776C22⋊D47—82no—
777C22⋊D47—82no—
778C22⋊D47—82no—
779C2×Dic47—28no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—21no—
804C2×Dic47—21no—
805C2×Dic47—21no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—44no—
813C2×Dic47—44no—
814C2×Dic47C22×D412yes—
815C2×Dic47C22×D412yes—
816C2×Dic47C22×D412yes—
817C2×Dic47C2×#4112yes—
818D188—44no—
819D188—44no—
820D188—44no—
821D188—82no—
822C4×D47—44no—
823C4×D47—44no—
824C4×D47—44no—
825C4×D47—44no—
826C4×D47—44no—
827C4×D47—82no—
828C4×D47—82no—
829C4×D47—82no—
830Dic94—82no—
831#34990—471nomaximal, Sylow
832C22×C47—22no—
833C22×C47—22no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—22no—
837C22×C47—22no—
838C22×C47—22no—
839C22×C47—22no—
840C22×C47—22no—
841C22×C47—22no—
842C22×C47—22no—
843C22×C47—22no—
844C22×C47—416no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—41no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47#53814yescomplemented
861C22×C47C23×D411yescharacteristic
862C22×C47C22×#4111yescharacteristic
863C22×C47C22×#4111yescharacteristic
864C22×C47C2×H(5,𝔽2)11yescharacteristic
865C22×C47C2×H(5,𝔽2)11yescharacteristic
866C22×C47C2×H(5,𝔽2)11yescharacteristic
867C22×C47#58511yescharacteristic
868C2×D47—22no—
869C2×D47—22no—
870C2×D47—22no—
871C2×D47—22no—
872C2×D47—22no—
873C2×D47—22no—
874C2×D47—22no—
875C2×D47—22no—
876C2×D47—22no—
877C2×D47—416no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—41no—
882C2×D47—41no—
883C2×D47—41no—
884C2×D47—41no—
885C2×D47—41no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—88no—
897C2×D47#52514yes—
898C4×C47—22no—
899C4×C47—22no—
900C4×C47—22no—
901C4×C47—41no—
902C4×C47—41no—
903C4×C47—41no—
904C4×C47—41no—
905C4×C47—41no—
906C4×C47—41no—
907C4×C47—41no—
908C4×C47—41no—
909Dic47—22no—
910Dic47—22no—
911Dic47—22no—
912Dic47—22no—
913Dic47—41no—
914Dic47—41no—
915Dic47—41no—
916Dic47—41no—
917Dic47—41no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921C2×#538—471no—
922C22×C4×D4—471no—
923#2852—471no—
924#2850—471no—
925#2849D4711yescharacteristic, complemented
926#2847—471no—
927#2636—471no—
928#2635—471no—
929#2631—471no—
930#2630—471no—
931#2481—471no—
932#2472—471no—
933#2467—471no—
934#2459—471no—
935#2456—471no—
936#2456—471no—
937#2450—471no—
938#2444—471no—
939#2443—471no—
940#2437—471no—
941#2424—471no—
942#2424—471no—
943#2418—471no—
944#2410—471no—
945#2410—471no—
946#2403—471no—
947#2325—471no—
948#2321—471no—
949#2318—471no—
950C4×#120—471no—
951C2×#386—471no—
952C2×C47—24no—
953C2×C47—42no—
954C2×C47—42no—
955C2×C47—81no—
956C2×C47C2×#52511yescharacteristic
957C2×C47C2×#53811yescharacteristic
958C2×C47#345911yescharacteristic
959C2×C47#348411yescharacteristic
960C2×C47#348811yescharacteristic
961C2×C47#351311yescharacteristic
962C2×C47#351911yescharacteristic
963D47—24no—
964D47—42no—
965D47—81no—
966D47—81no—
967C23×D4—471no—
968C23×D4—471no—
969C24×C4—471no—
970C24×C4C2×D4711yescharacteristic, complemented
971#538—948no—
972C2×#126—471no—
973C2×#126—471no—
974C2×#124—471no—
975C2×#124—471no—
976C2×#123—471no—
977C2×#123C2×D4711yescharacteristic, complemented
978C2×#123C2×D4711yescharacteristic, complemented
979C2×C22⋊Q8—471no—
980C2×C22⋊Q8—471no—
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#121—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×#120—471no—
994C2×#120C2×D4711yescharacteristic
995C2×C4×D4—471no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C2×C4×D4—471no—
1000C2×C4×D4—471no—
1001C2×C4×D4—471no—
1002C2×C4×D4—471no—
1003C2×C4×D4—471no—
1004C2×C4×D4—471no—
1005C2×C4×D4—471no—
1006C2×C4×D4—948no—
1007C22×C4⋊C4—471no—
1008C22×C22⋊C4—471no—
1009C22×C22⋊C4—471no—
1010C22×C22⋊C4—471no—
1011C22×C22⋊C4—471no—
1012C22×C22⋊C4—471no—
1013C22×C42—471no—
1014#400—471no—
1015#400—471no—
1016#399—471no—
1017#399—471no—
1018#398—471no—
1019#397—471no—
1020#397—471no—
1021#397—471no—
1022#396—471no—
1023#396—471no—
1024#396—471no—
1025#396—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394—471no—
1034#394—471no—
1035#393—471no—
1036#393—471no—
1037#392—471no—
1038#392—471no—
1039#392—471no—
1040#392—471no—
1041#392—471no—
1042#392—471no—
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#391—471no—
1047#390—471no—
1048#390—471no—
1049#390—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#388—471no—
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387—471no—
1067#387—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#386—471no—
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386—471no—
1089#386—471no—
1090#386—471no—
1091#386—471no—
1092#386C2×D4711yescharacteristic
1093#386C2×D4711yescharacteristic
1094#386C2×D4711yescharacteristic, complemented
1095#386C2×D4711yescharacteristic, complemented
1096#385—471no—
1097#385—471no—
1098#385—471no—
1099#385—471no—
1100#385—471no—
1101#385—471no—
1102#385—471no—
1103#385—471no—
1104#385C2×D4711yescharacteristic, complemented
1105#385C2×D4711yescharacteristic, complemented
1106#385C2×D4711yescharacteristic, complemented
1107#385C2×D4711yescharacteristic, complemented
1108#383—471no—
1109#382—471no—
1110#381C2×D4711yescharacteristic, complemented
1111#381C2×D4711yescharacteristic, complemented
1112#380—471no—
1113#380—471no—
1114#380—471no—
1115#380—471no—
1116#379—471no—
1117#379—471no—
1118#379C2×D4711yescharacteristic, complemented
1119C4×C22⋊C4—471no—
1120C4×C22⋊C4—471no—
1121C4×C22⋊C4—471no—
1122C2×#95—471no—
1123C2×#95—471no—
1124C47#3499011yescharacteristic, complemented, Sylow
1125C25—471no—
1126C25—471no—
1127C25C22×D4711yescharacteristic
1128C22×Q8—471no—
1129C22×D4—471no—
1130C22×D4—471no—
1131C22×D4—471no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—471no—
1137C22×D4—471no—
1138C22×D4—471no—
1139C22×D4—471no—
1140C22×D4—471no—
1141C22×D4—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—944no—
1146C22×D4—944no—
1147C22×D4—944no—
1148C22×D4—944no—
1149C22×D4—1882no—
1150C22×D4—1882no—
1151C22×D4C22×D4711yescharacteristic
1152C22×D4C22×D4711yescharacteristic
1153C22×D4C22×D4711yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—471no—
1158C23×C4—471no—
1159C23×C4—471no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4—471no—
1165C23×C4—471no—
1166C23×C4—471no—
1167C23×C4—471no—
1168C23×C4—944no—
1169C23×C4—1882no—
1170C23×C4—1882no—
1171C23×C4C22×D4711yescharacteristic
1172C23×C4C22×D4711yescharacteristic
1173C23×C4C22×D4711yescharacteristic
1174C23×C4C22×D4711yescharacteristic
1175C23×C4C22×D4711yescharacteristic
1176C23×C4C22×D4711yescharacteristic
1177#126—944no—
1178#126—944no—
1179#124—944no—
1180#124—944no—
1181#123—24no—
1182#123—42no—
1183#123—944no—
1184C22⋊Q8—944no—
1185C22⋊Q8—1882no—
1186#121—944no—
1187#121—944no—
1188#121—944no—
1189#121—944no—
1190#121—1882no—
1191#121—1882no—
1192#121—1882no—
1193#120—42no—
1194#120—944no—
1195#120—944no—
1196#120—944no—
1197#120—944no—
1198#120—1882no—
1199#120—1882no—
1200C4×D4—478no—
1201C4×D4—944no—
1202C4×D4—944no—
1203C4×D4—944no—
1204C4×D4—944no—
1205C4×D4—944no—
1206C4×D4—944no—
1207C4×D4—944no—
1208C4×D4—944no—
1209C4×D4—1882no—
1210C4×D4—1882no—
1211C2×C4⋊C4—471no—
1212C2×C4⋊C4—471no—
1213C2×C4⋊C4—471no—
1214C2×C4⋊C4—471no—
1215C2×C4⋊C4—471no—
1216C2×C4⋊C4—471no—
1217C2×C4⋊C4—471no—
1218C2×C4⋊C4—471no—
1219C2×C4⋊C4—471no—
1220C2×C4⋊C4—471no—
1221C2×C4⋊C4—471no—
1222C2×C4⋊C4—471no—
1223C2×C4⋊C4—471no—
1224C2×C4⋊C4—471no—
1225C2×C4⋊C4—471no—
1226C2×C4⋊C4—471no—
1227C2×C4⋊C4—944no—
1228C2×C4⋊C4C22×D4711yescharacteristic
1229C2×C4⋊C4C22×D4711yescharacteristic
1230C2×C4⋊C4C22×D4711yescharacteristic
1231C2×C4⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—944no—
1276C2×C22⋊C4—944no—
1277C2×C22⋊C4—944no—
1278C2×C22⋊C4—1882no—
1279C2×C22⋊C4—1882no—
1280C2×C22⋊C4C22×D4711yescharacteristic
1281C2×C22⋊C4C22×D4711yescharacteristic
1282C2×C22⋊C4C22×D4711yescharacteristic
1283C2×C22⋊C4C22×D4711yescharacteristic
1284C2×C22⋊C4C22×D4711yescharacteristic
1285C2×C22⋊C4C22×D4711yescharacteristic
1286C2×C22⋊C4C22×D4711yescharacteristic
1287C2×C22⋊C4C22×D4711yescharacteristic
1288C2×C22⋊C4C22×D4711yescharacteristic
1289C2×C22⋊C4C22×D4711yescharacteristic
1290C2×C22⋊C4C22×D4711yescharacteristic
1291C2×C22⋊C4C22×D4711yescharacteristic
1292C2×C22⋊C4C22×D4711yescharacteristic
1293C2×C42—471no—
1294C2×C42—471no—
1295C2×C42—471no—
1296C2×C42—471no—
1297C2×C42—471no—
1298C2×C42—471no—
1299C2×C42—471no—
1300C2×C42—944no—
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95—471no—
1314#95—471no—
1315#95—471no—
1316#95—471no—
1317#95—471no—
1318#95—471no—
1319#95—471no—
1320#95—471no—
1321#95—471no—
1322#95—471no—
1323#95—471no—
1324#95—471no—
1325#95C22×D4711yescharacteristic
1326#95C22×D4711yescharacteristic
1327#95C22×D4711yescharacteristic
1328#95C22×D4711yescharacteristic
1329#95C22×D4711yescharacteristic
1330#95C22×D4711yescharacteristic
1331#95C22×D4711yescharacteristic
1332#95C22×D4711yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—471no—
1341C24—471no—
1342C24—474no—
1343C24—471no—
1344C24—471no—
1345C24—942no—
1346C24—942no—
1347C24—942no—
1348C24—942no—
1349C24—942no—
1350C24—942no—
1351C24—942no—
1352C24—1881no—
1353C24—1881no—
1354C24—1881no—
1355C24—1881no—
1356C24—1881no—
1357C24—1881no—
1358C24C23×D4711yescharacteristic
1359C24C23×D4711yescharacteristic
1360C24C23×D4711yescharacteristic
1361C24C23×D4711yescharacteristic
1362C2×Q8—942no—
1363C2×Q8—1881no—
1364C2×Q8—1881no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—474no—
1375C2×D4—474no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—942no—
1387C2×D4—942no—
1388C2×D4—942no—
1389C2×D4—942no—
1390C2×D4—9432no—
1391C2×D4—942no—
1392C2×D4—942no—
1393C2×D4—942no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—942no—
1399C2×D4—942no—
1400C2×D4—942no—
1401C2×D4—942no—
1402C2×D4—942no—
1403C2×D4—942no—
1404C2×D4—942no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C2×D4—1881no—
1415C2×D4—1881no—
1416C2×D4—1881no—
1417C2×D4—1881no—
1418C2×D4—1881no—
1419C2×D4—1881no—
1420C2×D4—1881no—
1421C2×D4—1881no—
1422C2×D4—1881no—
1423C2×D4—18816no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—416no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—474no—
1447C22×C4—471no—
1448C22×C4—471no—
1449C22×C4—471no—
1450C22×C4—471no—
1451C22×C4—471no—
1452C22×C4—471no—
1453C22×C4—471no—
1454C22×C4—471no—
1455C22×C4—942no—
1456C22×C4—942no—
1457C22×C4—942no—
1458C22×C4—942no—
1459C22×C4—942no—
1460C22×C4—942no—
1461C22×C4—942no—
1462C22×C4—942no—
1463C22×C4—942no—
1464C22×C4—942no—
1465C22×C4—942no—
1466C22×C4—942no—
1467C22×C4—942no—
1468C22×C4—942no—
1469C22×C4—942no—
1470C22×C4—942no—
1471C22×C4—1881no—
1472C22×C4—1881no—
1473C22×C4—1881no—
1474C22×C4—1881no—
1475C22×C4—1881no—
1476C22×C4—1881no—
1477C22×C4—1881no—
1478C22×C4—1881no—
1479C22×C4—1881no—
1480C22×C4—1881no—
1481C22×C4—1881no—
1482C22×C4—1881no—
1483C22×C4—1881no—
1484C22×C4—1881no—
1485C22×C4—18816no—
1486C22×C4—1881no—
1487C22×C4—1881no—
1488C22×C4D4×D4714yescomplemented
1489C22×C4C23×D4711yescharacteristic
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C22×C4C23×D4711yescharacteristic
1495C22×C4C23×D4711yescharacteristic
1496C22×C4C23×D4711yescharacteristic
1497C22×C4C23×D4711yescharacteristic
1498C22×C4C23×D4711yescharacteristic
1499C22×C4C23×D4711yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—41no—
1504C4⋊C4—474no—
1505C4⋊C4—942no—
1506C4⋊C4—942no—
1507C4⋊C4—942no—
1508C4⋊C4—942no—
1509C4⋊C4—942no—
1510C4⋊C4—942no—
1511C4⋊C4—942no—
1512C4⋊C4—1881no—
1513C4⋊C4—1881no—
1514C4⋊C4—1881no—
1515C4⋊C4—1881no—
1516C4⋊C4—1881no—
1517C4⋊C4—1881no—
1518C4⋊C4—1881no—
1519C4⋊C4—1881no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—474no—
1534C22⋊C4—474no—
1535C22⋊C4—942no—
1536C22⋊C4—942no—
1537C22⋊C4—942no—
1538C22⋊C4—942no—
1539C22⋊C4—942no—
1540C22⋊C4—942no—
1541C22⋊C4—942no—
1542C22⋊C4—942no—
1543C22⋊C4—942no—
1544C22⋊C4—942no—
1545C22⋊C4—942no—
1546C22⋊C4—942no—
1547C22⋊C4—942no—
1548C22⋊C4—942no—
1549C22⋊C4—942no—
1550C22⋊C4—942no—
1551C22⋊C4—942no—
1552C22⋊C4—942no—
1553C22⋊C4—942no—
1554C22⋊C4—942no—
1555C22⋊C4—942no—
1556C22⋊C4—942no—
1557C22⋊C4—942no—
1558C22⋊C4—942no—
1559C22⋊C4—942no—
1560C22⋊C4—1881no—
1561C22⋊C4—1881no—
1562C22⋊C4—1881no—
1563C22⋊C4—1881no—
1564C22⋊C4—1881no—
1565C22⋊C4—1881no—
1566C22⋊C4—1881no—
1567C22⋊C4—1881no—
1568C22⋊C4—1881no—
1569C22⋊C4—1881no—
1570C22⋊C4—1881no—
1571C22⋊C4—1881no—
1572C22⋊C4—1881no—
1573C22⋊C4—1881no—
1574C22⋊C4—1881no—
1575C22⋊C4—1881no—
1576C42—474no—
1577C42—942no—
1578C42—942no—
1579C42—942no—
1580C42—942no—
1581C42—1881no—
1582C42—1881no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—472no—
1614C23—472no—
1615C23—472no—
1616C23—472no—
1617C23—948no—
1618C23—941no—
1619C23—941no—
1620C23—941no—
1621C23—941no—
1622C23—941no—
1623C23—941no—
1624C23—941no—
1625C23—941no—
1626C23—941no—
1627C23—941no—
1628C23—948no—
1629C23—941no—
1630C23—941no—
1631C23—941no—
1632C23—941no—
1633C23—941no—
1634C23—941no—
1635C23—941no—
1636C23—941no—
1637C23—941no—
1638C23—941no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—941no—
1643C23—3762no—
1644C23—3762no—
1645C23—3762no—
1646C23—3762no—
1647C23—1884no—
1648C23—1884no—
1649C23—1884no—
1650C23—1884no—
1651C23—1884no—
1652C23—1884no—
1653C23—1884no—
1654C23—1884no—
1655C23C2×D4×D4712yes—
1656C23#41×D4712yes—
1657C23#41×D4712yes—
1658C23#1309406912yes—
1659C23#1309407012yes—
1660C23C24×D4711yescharacteristic
1661Q8—3762no—
1662D4—44no—
1663D4—82no—
1664D4—82no—
1665D4—948no—
1666D4—948no—
1667D4—948no—
1668D4—948no—
1669D4—3762no—
1670D4—3762no—
1671D4—3762no—
1672D4—3762no—
1673D4—3762no—
1674D4—3762no—
1675D4—1884no—
1676D4—1884no—
1677D4—1884no—
1678D4—1884no—
1679D4—1884no—
1680D4—1884no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—472no—
1718C2×C4—472no—
1719C2×C4—472no—
1720C2×C4—472no—
1721C2×C4—948no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—941no—
1730C2×C4—941no—
1731C2×C4—941no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—941no—
1748C2×C4—941no—
1749C2×C4—941no—
1750C2×C4—941no—
1751C2×C4—941no—
1752C2×C4—941no—
1753C2×C4—941no—
1754C2×C4—3762no—
1755C2×C4—3762no—
1756C2×C4—3762no—
1757C2×C4—1884no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4—1884no—
1763C2×C4—1884no—
1764C2×C4C2×D4×D4712yes—
1765C2×C4C2×D4×D4712yes—
1766C2×C4#1309406912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—474no—
1796C22—942no—
1797C22—942no—
1798C22—942no—
1799C22—942no—
1800C22—942no—
1801C22—942no—
1802C22—942no—
1803C22—942no—
1804C22—942no—
1805C22—3768no—
1806C22—18816no—
1807C22—1881no—
1808C22—1881no—
1809C22—1881no—
1810C22—1881no—
1811C22—1881no—
1812C22—1881no—
1813C22—1881no—
1814C22—1881no—
1815C22—1881no—
1816C22—1881no—
1817C22—1881no—
1818C22—1881no—
1819C22—1881no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22—1881no—
1825C22#1568970914yescomplemented
1826C22C22×D4×D4711yescharacteristic
1827C22C2×#41×D4711yescharacteristic
1828C22C2×#41×D4711yescharacteristic
1829C22C2×#1309406911yescharacteristic
1830C22C2×#1309406911yescharacteristic
1831C22C2×#1309407011yescharacteristic
1832C22#1568995911yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—942no—
1845C4—942no—
1846C4—942no—
1847C4—942no—
1848C4—1881no—
1849C4—1881no—
1850C4—1881no—
1851C4—1881no—
1852C4—1881no—
1853C4—1881no—
1854C4—1881no—
1855C4—1881no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—944no—
1861C2—3761no—
1862C2—3761no—
1863C2—1882no—
1864C2#525×D4711yescharacteristic
1865C2C2×#1568970911yescharacteristic
1866C2#2025679511yescharacteristic
1867C2#2025701711yescharacteristic
1868C2#2025704911yescharacteristic
1869C2#2025732011yescharacteristic
1870C2#2025740811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2849C2
hypercenter#2849D47
hypocenterC47#34990
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C2×#15689709C2semidirect
2. C22×C4×C22⋊D47C2semidirect
3. #20251705C2semidirect
4. #20251685C2semidirect
5. #20251670C2semidirect
6. #20249291C2semidirect
7. #20249275C2semidirect
8. #20249244C2semidirect
9. #20249227C2semidirect
10. #20247654C2semidirect
11. #20247511C2semidirect
12. #20247444C2semidirect
13. #20247322C2semidirect
14. #20247287C2semidirect
15. #20247276C2semidirect
16. #20247217C2semidirect
17. #20247137C2semidirect
18. #20247127C2semidirect
19. #20247052C2semidirect
20. #20246923C2semidirect
21. #20246920C2semidirect
22. #20246847C2semidirect
23. #20246764C2semidirect
24. #20246761C2semidirect
25. #20246699C2semidirect
26. #20246085C2semidirect
27. #20246044C2semidirect
28. #20246017C2semidirect
29. #20245889C2semidirect
30. #386×D47C2semidirect
31. C47×#2849C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094009C22semidirect
41. C2×#13094004C22semidirect
42. C2×#13094001C22semidirect
44. C2×#13093998C22semidirect
45. C2×#13093998C22semidirect
49. C2×#13093995C22semidirect
51. C2×#13093994C22semidirect
53. C2×#13093993C22semidirect
56. C2×#13093986C22semidirect
57. C2×#13093986C22semidirect
63. C2×C4×C22⋊D47C22semidirect
64. C2×C4×C22⋊D47C22semidirect
65. C2×C4×C22⋊D47C22semidirect
66. C2×C4×C22⋊D47C22semidirect
67. C2×(C22⋊D47)⋊C4C22semidirect
68. C22×Dic47⋊C4C22semidirect
69. C22×C22⋊Dic47C22semidirect
72. C2×C22⋊C4×D47C22semidirect
73. C2×C22⋊C4×D47C22semidirect
74. C22×C4×Dic47C22semidirect
75. #15689064C22semidirect
76. #15689063C22semidirect
77. #15689060C22semidirect
78. #15689058C22semidirect
79. #15689056C22semidirect
80. #15689052C22semidirect
81. #15689051C22semidirect
82. #15689051C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689041C22semidirect
88. #15689041C22semidirect
89. #15689039C22semidirect
90. #15689039C22semidirect
91. #15689039C22semidirect
92. #15689038C22semidirect
93. #15689038C22semidirect
94. #15689038C22semidirect
95. #15689037C22semidirect
96. #15689036C22semidirect
97. #15689035C22semidirect
98. #15689033C22semidirect
101. #15689032C22semidirect
102. #15689032C22semidirect
103. #15689032C22semidirect
106. #15689031C22semidirect
107. #15689027C22semidirect
108. #15689026C22semidirect
109. #15689023C22semidirect
110. #15689023C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689015C22semidirect
114. #15689015C22semidirect
115. #15689013C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689011C22semidirect
120. #15689011C22semidirect
121. #15689011C22semidirect
122. #15689011C22semidirect
123. #15689010C22semidirect
124. #15689010C22semidirect
125. #15689009C22semidirect
126. #15689006C22semidirect
127. #15689005C22semidirect
128. #15689004C22semidirect
132. #15689002C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
135. #15689002C22semidirect
136. #15689002C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
145. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688998C22semidirect
154. #15688997C22semidirect
155. #15688997C22semidirect
156. #15688997C22semidirect
157. #15688995C22semidirect
158. #15688994C22semidirect
159. #15688994C22semidirect
160. #15688994C22semidirect
161. #15688990C22semidirect
162. #15688987C22semidirect
163. #15688983C22semidirect
164. #15688983C22semidirect
165. #15688983C22semidirect
166. #15688980C22semidirect
168. #15688978C22semidirect
169. C22⋊C4×Dic47C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C24×C4×C47C22semidirect
175. C2×#123×C47C22semidirect
176. C2×#123×C47C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
182. C47×#385C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#381C22semidirect
187. C47×#381C22semidirect
188. C47×#379C22semidirect
257. C4×C22⋊D47D4semidirect
453. C22×C4×C47C2×D4semidirect
595. C22⋊Dic47C2×D4semidirect
639. Dic47⋊C4C2×D4semidirect
646. C4×Dic47C2×D4semidirect
860. C22×C47#538semidirect
925. #2849D47semidirect
970. C24×C4C2×D47semidirect
977. C2×#123C2×D47semidirect
978. C2×#123C2×D47semidirect
1094. #386C2×D47semidirect
1095. #386C2×D47semidirect
1104. #385C2×D47semidirect
1105. #385C2×D47semidirect
1106. #385C2×D47semidirect
1107. #385C2×D47semidirect
1110. #381C2×D47semidirect
1111. #381C2×D47semidirect
1118. #379C2×D47semidirect
1124. C47#34990semidirect
1488. C22×C4D4×D47semidirect
1825. C22#15689709semidirect

Maximal subgroups

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

subgroupindex
C2×#156897092
C22×C4×C22⋊D472
#202517052
#202516852
#202516702
#202492912
#202492752
#202492442
#202492272
#202476542
#202475112
#202474442
#202473222
#202472872
#202472762
#202472172
#202471372
#202471272
#202470522
#202469232
#202469202
#202468472
#202467642
#202467612
#202466992
#202460852
#202460442
#202460172
#202458892
#386×D472
C47×#28492
#3499047