Finite Group Databasebeta

← #26384934

Subgroups — #26384934

Order 12032.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689631C211yesmaximal, characteristic, complemented
2C2×C4×#10625352C211yesmaximal, characteristic, complemented
3#20247595C211yesmaximal, characteristic, complemented
4#20247572C211yesmaximal, characteristic, complemented
5#20247503C211yesmaximal, characteristic, complemented
6#20247480C211yesmaximal, characteristic, complemented
7#20247411C211yesmaximal, characteristic, complemented
8#20247388C211yesmaximal, characteristic, complemented
9#20247310C211yesmaximal, characteristic, complemented
10#20247219C211yesmaximal, characteristic, complemented
11#20247137C211yesmaximal, characteristic, complemented
12#20247067C211yesmaximal, characteristic, complemented
13#20246993C211yesmaximal, characteristic, complemented
14#20246923C211yesmaximal, characteristic, complemented
15#20246849C211yesmaximal, characteristic, complemented
16#20246768C211yesmaximal, characteristic, complemented
17#20246702C211yesmaximal, characteristic, complemented
18#20246677C211yesmaximal, characteristic, complemented
19#20246663C211yesmaximal, characteristic, complemented
20#20246631C211yesmaximal, characteristic, complemented
21#20246600C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245905C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245894C211yesmaximal, characteristic, complemented
26#20245893C211yesmaximal, characteristic, complemented
27#20245873C211yesmaximal, characteristic, complemented
28#20245830C211yesmaximal, characteristic, complemented
29#20245828C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2457C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689631—28no—
36C2×#13094009C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094007C2211yescharacteristic
39C2×#13094002C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093997C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C4×#10625352—28no—
49C2×C4×Dic94C2211yescharacteristic, complemented
50C2×#13093989C2211yescharacteristic, complemented
51C2×D4×Dic47C2211yescharacteristic
52C2×D4×Dic47C2211yescharacteristic, complemented
53C2×#13093986C2211yescharacteristic
54C2×#13093986C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
62C2×#13093982C2211yescharacteristic
63C2×#13093980C2211yescharacteristic
64C2×#13093980C2211yescharacteristic, complemented
65C2×#13093980C2211yescharacteristic, complemented
66C2×#13093980C2211yescharacteristic, complemented
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C22×C4×Dic47C2211yescharacteristic, complemented
70C22×C4×Dic47C2211yescharacteristic, complemented
71C2×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689064C2211yescharacteristic, complemented
74#15689061C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689053C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic
80#15689052C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic
85#15689044C2211yescharacteristic, complemented
86#15689043C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic
88#15689040C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689036C2211yescharacteristic
95#15689036C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic
97#15689035C2211yescharacteristic, complemented
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic, complemented
101#15689027C2211yescharacteristic, complemented
102#15689027C2211yescharacteristic, complemented
103#15689024C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic, complemented
107#15689019C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic
110#15689016C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic
115#15689012C2211yescharacteristic
116#15689012C2211yescharacteristic
117#15689012C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic
119#15689008C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689006C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689005C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689002C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689000C2211yescharacteristic
132#15689000C2211yescharacteristic
133#15689000C2211yescharacteristic, complemented
134#15689000C2211yescharacteristic, complemented
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688996C2211yescharacteristic
145#15688996C2211yescharacteristic, complemented
146#15688995C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic
149#15688985C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688978C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154#15688974C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688968C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic
178C47×#394C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#381C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625352—24no—
191C2×#10625352—24no—
192C2×#10625352—24no—
193C2×#10625352—24no—
194C2×#10625352—24no—
195C2×#10625352—42no—
196C22×Dic94C2311yescharacteristic
197C22×Dic94C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47—24no—
213C22×C4×D47—24no—
214C22×C4×D47—42no—
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224#13094009—24no—
225#13094007—24no—
226#13094007—24no—
227#13094002—24no—
228#13094002—24no—
229#13093998—24no—
230#13093997—24no—
231#13093997—24no—
232#13093997—24no—
233#13093994—24no—
234#13093992—24no—
235#13093992—24no—
236C4×Dic94—24no—
237#13093989—24no—
238D4×Dic47—24no—
239D4×Dic47—24no—
240#13093986—24no—
241#13093986—24no—
242C4×C22⋊D47—24no—
243C4×C22⋊D47—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—42no—
247(C22⋊D47)⋊C4—42no—
248(C22⋊D47)⋊C4D418yescomplemented
249#13093982—24no—
250#13093980—24no—
251#13093980—24no—
252#13093980—24no—
253#13093980—42no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
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
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
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
307C22⋊C4×D47—24no—
308C22⋊C4×D47—24no—
309C2×C4×Dic47—24no—
310C2×C4×Dic47—24no—
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C42×D47—24no—
327C42×D47—42no—
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
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360#123×C47—24no—
361C4×D4×C47—24no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊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×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×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×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47C2×D414yes—
454C2×C22⋊D47#4114yescomplemented
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47C2×D414yes—
469C22×Dic47#4114yescomplemented
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483#10625352—232no—
484#10625352—416no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—41no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
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—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—416no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47C2×D414yes—
518C2×C4×D47#4114yescomplemented
519C2×Dic94—22no—
520C2×Dic94—22no—
521C2×Dic94—22no—
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—41no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—41no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47C2×D414yes—
542C42×C47—22no—
543C42×C47—41no—
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—41no—
554C22⋊Dic47—41no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
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—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4C2×D414yes—
577(C2×D47)⋊C4#4114yescomplemented
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—41no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4—41no—
596Dic47⋊C4C2×D414yes—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—22no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
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×C47C22×D412yes—
631C23×C47C2×#4112yes—
632C23×C47C2×#4112yes—
633C23×C47C2511yescharacteristic
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—28no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47C22×D412yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661C22×D47C2×#4112yes—
662D4×C47—28no—
663D4×C47—44no—
664D4×C47—44no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
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—44no—
698C2×C4×C47—44no—
699C2×C4×C47—44no—
700C2×C4×C47C22×D412yes—
701C2×C4×C47C22×D412yes—
702C2×C4×C47C2×#4112yes—
703C2×C4×C47C2×#4112yes—
704C22⋊D47—28no—
705C22⋊D47—28no—
706C22⋊D47—44no—
707C22⋊D47—44no—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
711C2×Dic47—28no—
712C2×Dic47—28no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—28no—
726C2×Dic47—28no—
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—44no—
746C2×Dic47C22×D412yes—
747C2×Dic47C22×D412yes—
748C2×Dic47C22×D412yes—
749C2×Dic47C2×#4112yes—
750C2×Dic47C2×#4112yes—
751C2×Dic47C2×#4112yes—
752C2×Dic47C2×#4112yes—
753C2×Dic47C2×#4112yes—
754C2×Dic47H(5,𝔽2)12yes—
755D188—44no—
756D188—44no—
757C4×D47—28no—
758C4×D47—28no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766Dic94—28no—
767Dic94—44no—
768#34732—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47C23×D411yescharacteristic
791C22×C47C22×#4111yescharacteristic
792C22×C47C22×#4111yescharacteristic
793C22×C47C22×#4111yescharacteristic
794C22×C47C22×#4111yescharacteristic
795C22×C47C2×H(5,𝔽2)11yescharacteristic
796C22×C47#58511yescharacteristic
797C2×D47—22no—
798C2×D47—22no—
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—22no—
803C2×D47—22no—
804C2×D47—22no—
805C2×D47—22no—
806C2×D47—416no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47#52514yes—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—41no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47#54614yes—
844C2×#525—471no—
845C2×C4×#41—471no—
846#2477—471no—
847#2476—471no—
848#2471—471no—
849#2470—471no—
850#2465—471no—
851#2464—471no—
852#2458—471no—
853#2457D4711yescharacteristic, complemented
854#2450—471no—
855#2444—471no—
856#2438—471no—
857#2430—471no—
858#2424—471no—
859#2418—471no—
860#2411—471no—
861#2404—471no—
862#2398—471no—
863#2396—471no—
864#2392—471no—
865#2388—471no—
866C4×#123—471no—
867C4×#123—471no—
868C4×#121—471no—
869C4×#121—471no—
870C4×#120—471no—
871#2297—471no—
872#2290—471no—
873#2290—471no—
874C2×C4×C22⋊C4—471no—
875C2×C47—42no—
876C2×C47—42no—
877C2×C47—42no—
878C2×C47C2×#52511yescharacteristic
879C2×C47#344411yescharacteristic
880C2×C47#346011yescharacteristic
881C2×C47C2×#54611yescharacteristic
882C2×C47D4×#4111yescharacteristic
883C2×C47#347511yescharacteristic
884C2×C47#348111yescharacteristic
885D47—24no—
886D47—42no—
887D47—81no—
888C22×#41—471no—
889C22×#41—471no—
890C24×C4—471no—
891#525—948no—
892C2×#123—471no—
893C2×#123—471no—
894C2×#123—471no—
895C2×#123C2×D4711yescharacteristic
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8—471no—
898C2×#121—471no—
899C2×#121—471no—
900C2×#121—471no—
901C2×#121—471no—
902C2×#120—471no—
903C2×#120—471no—
904C2×#120—471no—
905C4×#41—948no—
906C2×C4×Q8—471no—
907C2×C4×Q8—471no—
908C2×C4×D4—471no—
909C2×C4×D4—471no—
910C2×C4×D4—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4C2×D4711yescharacteristic, complemented
920C2×#117—471no—
921C2×#117—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930C22×C42—471no—
931#400—471no—
932#400—471no—
933#400C2×D4711yescharacteristic, complemented
934#399—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#396—471no—
942#396—471no—
943#396—471no—
944#396C2×D4711yescharacteristic
945#395—471no—
946#395—471no—
947#394—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394C2×D4711yescharacteristic, complemented
955#393—471no—
956#393—471no—
957#393—471no—
958#393—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#392C2×D4711yescharacteristic
963#391—471no—
964#391—471no—
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#389—471no—
970#389—471no—
971#388—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#388—471no—
981#388C2×D4711yescharacteristic, complemented
982#388C2×D4711yescharacteristic, complemented
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#387C2×D4711yescharacteristic, complemented
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#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386C2×D4711yescharacteristic
1006#386C2×D4711yescharacteristic
1007#386C2×D4711yescharacteristic
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#381—471no—
1018#381C2×D4711yescharacteristic, complemented
1019#380—471no—
1020#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022C4×C4⋊C4—471no—
1023C4×C4⋊C4—471no—
1024C4×C4⋊C4—471no—
1025C4×C4⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4—471no—
1039C4×C22⋊C4—471no—
1040C4×C22⋊C4—471no—
1041C4×C22⋊C4C2×D4711yescharacteristic
1042#376—471no—
1043C2×#95—471no—
1044C2×#95—471no—
1045C47#3473211yescharacteristic, complemented, Sylow
1046C25—471no—
1047C2×#41—944no—
1048C2×#41—944no—
1049C2×#41—944no—
1050C2×#41—944no—
1051C2×#41—944no—
1052C2×#41—1882no—
1053C22×Q8—471no—
1054C22×Q8—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C22×D4C22×D4711yescharacteristic
1067C23×C4—471no—
1068C23×C4—471no—
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—944no—
1083C23×C4—1882no—
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—24no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091C22⋊Q8—944no—
1092C22⋊Q8—944no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×Q8—944no—
1102C4×D4—24no—
1103C4×D4—478no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—1882no—
1113C4×D4—1882no—
1114#117—944no—
1115#117—944no—
1116#117—944no—
1117#117—944no—
1118#117—1882no—
1119C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C4⋊C4C22×D4711yescharacteristic
1142C2×C4⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
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—944no—
1178C2×C22⋊C4—944no—
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C22⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C42—471no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—471no—
1206C2×C42—944no—
1207C2×C42—944no—
1208C2×C42—944no—
1209C2×C42—1882no—
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
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#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248C24—471no—
1249C24—471no—
1250C24—471no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—1881no—
1257C24—1881no—
1258C24C23×D4711yescharacteristic
1259C24C23×D4711yescharacteristic
1260C24C23×D4711yescharacteristic
1261#41—9432no—
1262#41—18816no—
1263C2×Q8—942no—
1264C2×Q8—942no—
1265C2×Q8—942no—
1266C2×Q8—942no—
1267C2×Q8—942no—
1268C2×Q8—1881no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—474no—
1279C2×D4—474no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
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—942no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—942no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4—1881no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—471no—
1315C22×C4—474no—
1316C22×C4—474no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—474no—
1324C22×C4—474no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—471no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—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—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—18816no—
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—474no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
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—1881no—
1402C4⋊C4—1881no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4—1881no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—474no—
1418C22⋊C4—474no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
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—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4D4×D4714yes—
1452C42—22no—
1453C42—41no—
1454C42—474no—
1455C42—942no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—942no—
1462C42—942no—
1463C42—942no—
1464C42—942no—
1465C42—942no—
1466C42—942no—
1467C42—942no—
1468C42—1881no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—472no—
1488C23—472no—
1489C23—472no—
1490C23—472no—
1491C23—948no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—1884no—
1510C23—1884no—
1511C23—1884no—
1512C23—1884no—
1513C23—1884no—
1514C23—1884no—
1515C23C2×D4×D4712yes—
1516C23#41×D4712yes—
1517C23#41×D4712yes—
1518C23C24×D4711yescharacteristic
1519Q8—948no—
1520Q8—1884no—
1521D4—28no—
1522D4—44no—
1523D4—44no—
1524D4—948no—
1525D4—948no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529D4—1884no—
1530D4—1884no—
1531D4—1884no—
1532D4—1884no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
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—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—472no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—948no—
1578C2×C4—948no—
1579C2×C4—948no—
1580C2×C4—948no—
1581C2×C4—948no—
1582C2×C4—948no—
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—1884no—
1614C2×C4—1884no—
1615C2×C4—1884no—
1616C2×C4—1884no—
1617C2×C4—1884no—
1618C2×C4—1884no—
1619C2×C4—1884no—
1620C2×C4—1884no—
1621C2×C4C2×D4×D4712yes—
1622C2×C4C2×D4×D4712yes—
1623C2×C4#41×D4712yes—
1624C2×C4#41×D4712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—474no—
1647C22—942no—
1648C22—942no—
1649C22—942no—
1650C22—942no—
1651C22—942no—
1652C22—942no—
1653C22—942no—
1654C22—942no—
1655C22—942no—
1656C22—18816no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22—1881no—
1668C22C22×D4×D4711yescharacteristic
1669C22C2×#41×D4711yescharacteristic
1670C22C2×#41×D4711yescharacteristic
1671C22C2×#41×D4711yescharacteristic
1672C22C2×#41×D4711yescharacteristic
1673C22H(5,𝔽2)×D4711yescharacteristic
1674C22#1568995811yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—474no—
1688C4—942no—
1689C4—942no—
1690C4—942no—
1691C4—942no—
1692C4—942no—
1693C4—942no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4—1881no—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—944no—
1704C2—3761no—
1705C2—1882no—
1706C2#525×D4711yescharacteristic
1707C2#2025668211yescharacteristic
1708C2#2025680311yescharacteristic
1709C2#546×D4711yescharacteristic
1710C2#2025687211yescharacteristic
1711C2#2025694311yescharacteristic
1712C2#2025699511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2457C2
hypercenter#2457D47
hypocenterC47#34732
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#15689631C2semidirect
2. C2×C4×#10625352C2semidirect
3. #20247595C2semidirect
4. #20247572C2semidirect
5. #20247503C2semidirect
6. #20247480C2semidirect
7. #20247411C2semidirect
8. #20247388C2semidirect
9. #20247310C2semidirect
10. #20247219C2semidirect
11. #20247137C2semidirect
12. #20247067C2semidirect
13. #20246993C2semidirect
14. #20246923C2semidirect
15. #20246849C2semidirect
16. #20246768C2semidirect
17. #20246702C2semidirect
18. #20246677C2semidirect
19. #20246663C2semidirect
20. #20246631C2semidirect
21. #20246600C2semidirect
22. #20245909C2semidirect
23. #20245905C2semidirect
24. #20245900C2semidirect
25. #20245894C2semidirect
26. #20245893C2semidirect
27. #20245873C2semidirect
28. #20245830C2semidirect
29. #20245828C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2457C2semidirect
49. C2×C4×Dic94C22semidirect
50. C2×#13093989C22semidirect
52. C2×D4×Dic47C22semidirect
61. C2×(C22⋊D47)⋊C4C22semidirect
64. C2×#13093980C22semidirect
65. C2×#13093980C22semidirect
66. C2×#13093980C22semidirect
69. C22×C4×Dic47C22semidirect
70. C22×C4×Dic47C22semidirect
73. #15689064C22semidirect
74. #15689061C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689053C22semidirect
80. #15689052C22semidirect
81. #15689051C22semidirect
83. #15689046C22semidirect
85. #15689044C22semidirect
86. #15689043C22semidirect
91. #15689039C22semidirect
95. #15689036C22semidirect
97. #15689035C22semidirect
100. #15689031C22semidirect
101. #15689027C22semidirect
102. #15689027C22semidirect
106. #15689023C22semidirect
107. #15689019C22semidirect
108. #15689018C22semidirect
110. #15689016C22semidirect
111. #15689015C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
117. #15689012C22semidirect
119. #15689008C22semidirect
120. #15689007C22semidirect
121. #15689006C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
124. #15689005C22semidirect
125. #15689004C22semidirect
128. #15689002C22semidirect
133. #15689000C22semidirect
134. #15689000C22semidirect
145. #15688996C22semidirect
146. #15688995C22semidirect
147. #15688995C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. #15688974C22semidirect
155. #15688974C22semidirect
159. C22⋊C4×Dic47C22semidirect
160. C22⋊C4×Dic47C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688968C22semidirect
175. C2×C4×D4×C47C22semidirect
176. C47×#400C22semidirect
178. C47×#394C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
186. C47×#381C22semidirect
187. C47×#380C22semidirect
248. (C22⋊D47)⋊C4D4semidirect
454. C2×C22⋊D47#41semidirect
469. C22×Dic47#41semidirect
518. C2×C4×D47#41semidirect
577. (C2×D47)⋊C4#41semidirect
853. #2457D47semidirect
919. C2×C4×D4C2×D47semidirect
933. #400C2×D47semidirect
954. #394C2×D47semidirect
981. #388C2×D47semidirect
982. #388C2×D47semidirect
990. #387C2×D47semidirect
1018. #381C2×D47semidirect
1020. #380C2×D47semidirect
1045. C47#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#156896312
C2×C4×#106253522
#202475952
#202475722
#202475032
#202474802
#202474112
#202473882
#202473102
#202472192
#202471372
#202470672
#202469932
#202469232
#202468492
#202467682
#202467022
#202466772
#202466632
#202466312
#202466002
#202459092
#202459052
#202459002
#202458942
#202458932
#202458732
#202458302
#202458282
C4×C22⋊C4×D472
C47×#24572
#3473247