Finite Group Databasebeta

← #26387259

Subgroups — #26387259

Order 12032.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689656C211yesmaximal, characteristic, complemented
2C2×#117×D47C211yesmaximal, characteristic, complemented
3#20249084C211yesmaximal, characteristic, complemented
4#20249082C211yesmaximal, characteristic, complemented
5#20249073C211yesmaximal, characteristic, complemented
6#20249071C211yesmaximal, characteristic, complemented
7#20248987C211yesmaximal, characteristic, complemented
8#20248985C211yesmaximal, characteristic, complemented
9#20248979C211yesmaximal, characteristic, complemented
10#20248866C211yesmaximal, characteristic, complemented
11#20248766C211yesmaximal, characteristic, complemented
12#20248544C211yesmaximal, characteristic, complemented
13#20248317C211yesmaximal, characteristic
14#20246790C211yesmaximal, characteristic, complemented
15#20246788C211yesmaximal, characteristic, complemented
16#20246768C211yesmaximal, characteristic, complemented
17#20246766C211yesmaximal, characteristic, complemented
18#20246665C211yesmaximal, characteristic, complemented
19#20246663C211yesmaximal, characteristic, complemented
20#20246633C211yesmaximal, characteristic, complemented
21#20246631C211yesmaximal, characteristic, complemented
22#20245915C211yesmaximal, characteristic, complemented
23#20245909C211yesmaximal, characteristic, complemented
24#20245893C211yesmaximal, characteristic, complemented
25#20245889C211yesmaximal, characteristic, complemented
26#20245850C211yesmaximal, characteristic, complemented
27#20245848C211yesmaximal, characteristic, complemented
28#20245848C211yesmaximal, characteristic, complemented
29#20245846C211yesmaximal, characteristic, complemented
30C4×#13093982C211yesmaximal, characteristic, complemented
31C47×#2601C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689656—28no—
34C2×#13094018C2211yescharacteristic, complemented
35C2×#13094014C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094006C2211yescharacteristic
40C2×#13094006C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093989C2211yescharacteristic, complemented
46C2×D4×Dic47C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
53C2×#13093983C2211yescharacteristic
54C2×#13093982C2211yescharacteristic
55C2×#13093982C2211yescharacteristic
56C2×#13093982C2211yescharacteristic
57C2×#13093982C2211yescharacteristic
58C2×#13093982C2211yescharacteristic, complemented
59C2×#13093981C2211yescharacteristic
60C2×#13093981C2211yescharacteristic
61C2×#13093980C2211yescharacteristic
62C2×#13093980C2211yescharacteristic
63C2×#13093980C2211yescharacteristic, complemented
64#117×D47—28no—
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic
74#15689058C2211yescharacteristic
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689053C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic
81#15689051C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic
85#15689045C2211yescharacteristic
86#15689045C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689040C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic, complemented
94#15689038C2211yescharacteristic, complemented
95#15689036C2211yescharacteristic
96#15689035C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689026C2211yescharacteristic
100#15689025C2211yescharacteristic
101#15689024C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689022C2211yescharacteristic, complemented
107#15689021C2211yescharacteristic, complemented
108#15689020C2211yescharacteristic, complemented
109#15689020C2211yescharacteristic, complemented
110#15689019C2211yescharacteristic, complemented
111#15689018C2211yescharacteristic, complemented
112#15689018C2211yescharacteristic, complemented
113#15689017C2211yescharacteristic
114#15689017C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic
118#15689015C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689014C2211yescharacteristic
121#15689014C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689013C2211yescharacteristic
124#15689013C2211yescharacteristic, complemented
125#15689012C2211yescharacteristic
126#15689012C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic
128#15689011C2211yescharacteristic, complemented
129#15689011C2211yescharacteristic, complemented
130#15689008C2211yescharacteristic, complemented
131#15689007C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688996C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688985C2211yescharacteristic
148#15688985C2211yescharacteristic
149#15688978C2211yescharacteristic
150#15688978C2211yescharacteristic
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4×C4⋊Dic47C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic, complemented
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688968C2211yescharacteristic, complemented
171#15688968C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C42×Dic47C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#117×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic
178C47×#396C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C4×C4⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—24no—
200C22×C4×D47—24no—
201C22×C4×D47—24no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094018—24no—
212#13094014—24no—
213#13094010—24no—
214#13094009—24no—
215#13094009—24no—
216#13094006—24no—
217#13094006—24no—
218#13094002—24no—
219#13093997—24no—
220#13093994—24no—
221#13093992—24no—
222#13093989—24no—
223D4×Dic47—24no—
224#13093986—24no—
225#13093986—24no—
226(C22⋊D47)⋊C4—24no—
227(C22⋊D47)⋊C4—24no—
228(C22⋊D47)⋊C4—24no—
229(C22⋊D47)⋊C4—24no—
230#13093983—24no—
231#13093982—24no—
232#13093982—24no—
233#13093982—24no—
234#13093982—24no—
235#13093982—24no—
236#13093981—24no—
237#13093981—24no—
238#13093980—24no—
239#13093980—24no—
240#13093980—24no—
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C4⋊C4×D47—24no—
266C4⋊C4×D47—24no—
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(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
302C22⋊C4×D47—24no—
303C22⋊C4×D47—24no—
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
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
322C42×D47—24no—
323C42×D47D418yescomplemented
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350#126×C47—24no—
351#117×C47—24no—
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊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×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—41no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47#4114yes—
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—22no—
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—41no—
453C2×C4×D47—232no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47C2×D414yes—
478C2×C4×D47C2×D414yes—
479C2×C4×D47C2×D414yes—
480C2×C4×D47#4114yes—
481C2×Dic94—22no—
482C2×Dic94—41no—
483C2×Dic94—41no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47—22no—
492C4⋊C4×C47—22no—
493C4⋊C4×C47—41no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C42×C47—22no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47C2×D414yes—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4#4114yes—
543(C2×D47)⋊C4#4114yes—
544C4⋊Dic47—22no—
545C4⋊Dic47—22no—
546C4⋊Dic47—22no—
547C4⋊Dic47—22no—
548C4⋊Dic47—22no—
549C4⋊Dic47—22no—
550C4⋊Dic47—22no—
551C4⋊Dic47—41no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568C4×Dic47—22no—
569C4×Dic47—22no—
570C4×Dic47—22no—
571C4×Dic47—22no—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—22no—
578C4×Dic47—22no—
579C4×Dic47—22no—
580C4×Dic47—22no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C4×Dic47C2×D414yes—
584C4×Dic47C2×D414yes—
585C4×Dic47C2×D414yes—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47C2×#4112yes—
600C23×C47C2511yescharacteristic
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—28no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47C22×D412yes—
626C22×D47C2×#4112yes—
627C22×D47C2×#4112yes—
628C22×D47C2×#4112yes—
629D4×C47—44no—
630C2×C4×C47—28no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47C22×D412yes—
665C2×C4×C47C22×D412yes—
666C2×C4×C47C22×D412yes—
667C2×C4×C47C2×#4112yes—
668C2×C4×C47C2×#4112yes—
669C2×C4×C47C2×#4112yes—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—28no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—44no—
707C2×Dic47C22×D412yes—
708C2×Dic47C22×D412yes—
709C2×Dic47C22×D412yes—
710C2×Dic47C2×#4112yes—
711C2×Dic47C2×#4112yes—
712C2×Dic47C2×#4112yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47C2×#4112yes—
715D188—44no—
716D188—44no—
717C4×D47—28no—
718C4×D47—28no—
719C4×D47—28no—
720C4×D47—28no—
721C4×D47—28no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726Dic94—44no—
727#34877—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47C23×D411yescharacteristic
743C22×C47C22×#4111yescharacteristic
744C22×C47C22×#4111yescharacteristic
745C22×C47C22×#4111yescharacteristic
746C22×C47C22×#4111yescharacteristic
747C22×C47#58511yescharacteristic
748C22×C47#58511yescharacteristic
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—416no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47#53214yes—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784Dic47—22no—
785Dic47—22no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47#52514yes—
797C2×#529—471no—
798C22×#117—471no—
799#2611—471no—
800#2611—471no—
801#2610—471no—
802#2610—471no—
803#2601—471no—
804#2601—471no—
805#2601—471no—
806#2601D4711yescharacteristic, complemented
807#2591—471no—
808#2583—471no—
809#2561—471no—
810#2539—471no—
811#2413—471no—
812#2413—471no—
813#2411—471no—
814#2411—471no—
815#2396—471no—
816#2396—471no—
817#2392—471no—
818#2392—471no—
819C4×#123—471no—
820C4×#123—471no—
821C4×#120—471no—
822C4×#120—471no—
823#2293—471no—
824#2293—471no—
825#2293—471no—
826#2293—471no—
827C4×#117—471no—
828C2×C47—42no—
829C2×C47—81no—
830C2×C47C2×#52511yescharacteristic
831C2×C47C2×#53211yescharacteristic
832C2×C47#344911yescharacteristic
833C2×C47#347511yescharacteristic
834C2×C47#347511yescharacteristic
835C2×C47#347511yescharacteristic
836C2×C47#347511yescharacteristic
837D47—24no—
838D47—42no—
839D47—81no—
840C24×C4—471no—
841#529—948no—
842C2×#126—471no—
843C2×#126C2×D4711yescharacteristic, complemented
844C2×#125—471no—
845C2×#124—471no—
846C2×#123—471no—
847C2×#123—471no—
848C2×#123—471no—
849C2×#123—471no—
850C2×C22⋊Q8—471no—
851C2×#121—471no—
852C2×#120—471no—
853C2×#120—471no—
854C2×C4×Q8—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C2×C4×D4—471no—
862C2×#117—471no—
863C2×#117—471no—
864C2×#117—471no—
865C2×#117—471no—
866C2×#117—471no—
867C2×#117—471no—
868C2×#117—471no—
869C2×#117—471no—
870C2×#117—471no—
871C2×#117—471no—
872C2×#117—471no—
873C2×#117—948no—
874C2×#117C2×D4711yescharacteristic
875C22×C4⋊C4—471no—
876C22×C4⋊C4—471no—
877C22×C22⋊C4—471no—
878C22×C22⋊C4—471no—
879C22×C42—471no—
880C22×C42—471no—
881#400—471no—
882#400—471no—
883#399—471no—
884#399—471no—
885#398—471no—
886#398—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398C2×D4711yescharacteristic, complemented
891#397—471no—
892#397—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#396—471no—
899#396C2×D4711yescharacteristic
900#396C2×D4711yescharacteristic, complemented
901#395—471no—
902#395—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394C2×D4711yescharacteristic
909#393—471no—
910#393—471no—
911#392—471no—
912#392—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390—471no—
920#390C2×D4711yescharacteristic
921#389—471no—
922#389—471no—
923#389—471no—
924#389—471no—
925#389—471no—
926#389—471no—
927#389—471no—
928#389C2×D4711yescharacteristic, complemented
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388C2×D4711yescharacteristic
947#388C2×D4711yescharacteristic, complemented
948#388C2×D4711yescharacteristic, complemented
949#387—471no—
950#387—471no—
951#387—471no—
952#387C2×D4711yescharacteristic, complemented
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386C2×D4711yescharacteristic
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385C2×D4711yescharacteristic
969#381—471no—
970#381—471no—
971#379—471no—
972#379—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4—471no—
975C4×C4⋊C4—471no—
976C4×C4⋊C4—471no—
977C4×C4⋊C4—471no—
978C4×C4⋊C4—471no—
979C4×C4⋊C4—471no—
980C4×C4⋊C4C2×D4711yescharacteristic, complemented
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993#376—471no—
994#376—471no—
995C43—471no—
996C43—471no—
997C47#3487711yescharacteristic, complemented, Sylow
998C25—471no—
999C22×Q8—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4C22×D4711yescharacteristic
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—944no—
1019C23×C4—944no—
1020C23×C4—944no—
1021C23×C4C22×D4711yescharacteristic
1022#126—24no—
1023#126—944no—
1024#125—944no—
1025#124—944no—
1026#123—944no—
1027#123—944no—
1028#123—944no—
1029#123—944no—
1030C22⋊Q8—944no—
1031#121—944no—
1032#120—944no—
1033#120—944no—
1034C4×Q8—944no—
1035C4×D4—944no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—944no—
1042#117—24no—
1043#117—944no—
1044#117—944no—
1045#117—944no—
1046#117—944no—
1047#117—944no—
1048#117—944no—
1049#117—944no—
1050#117—944no—
1051#117—944no—
1052#117—944no—
1053#117—944no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—944no—
1079C2×C4⋊C4—944no—
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C4⋊C4C22×D4711yescharacteristic
1085C2×C4⋊C4C22×D4711yescharacteristic
1086C2×C4⋊C4C22×D4711yescharacteristic
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—944no—
1126C2×C22⋊C4—944no—
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—478no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—944no—
1158C2×C42C22×D4711yescharacteristic
1159C2×C42C22×D4711yescharacteristic
1160C2×C42C22×D4711yescharacteristic
1161C2×C42C22×D4711yescharacteristic
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194C24—471no—
1195C24—471no—
1196C24—471no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—942no—
1201C24—942no—
1202C24—1881no—
1203C24—1881no—
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—942no—
1207C2×Q8—1881no—
1208C2×Q8—1881no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—471no—
1234C22×C4—474no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—474no—
1241C22×C4—474no—
1242C22×C4—474no—
1243C22×C4—474no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—9432no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—41no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—474no—
1339C22⋊C4—474no—
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—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—474no—
1377C42—474no—
1378C42—474no—
1379C42—942no—
1380C42—942no—
1381C42—942no—
1382C42—942no—
1383C42—942no—
1384C42—942no—
1385C42—942no—
1386C42—942no—
1387C42—942no—
1388C42—942no—
1389C42—942no—
1390C42—942no—
1391C42—942no—
1392C42—1881no—
1393C42—1881no—
1394C42D4×D4714yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—472no—
1409C23—472no—
1410C23—472no—
1411C23—472no—
1412C23—948no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—1884no—
1431C23—1884no—
1432C23—1884no—
1433C23—1884no—
1434C23—1884no—
1435C23—1884no—
1436C23#41×D4712yes—
1437C23C24×D4711yescharacteristic
1438Q8—1884no—
1439D4—44no—
1440D4—1884no—
1441D4—1884no—
1442D4—1884no—
1443D4—1884no—
1444D4—1884no—
1445D4—1884no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—472no—
1481C2×C4—472no—
1482C2×C4—472no—
1483C2×C4—472no—
1484C2×C4—472no—
1485C2×C4—472no—
1486C2×C4—472no—
1487C2×C4—472no—
1488C2×C4—948no—
1489C2×C4—948no—
1490C2×C4—948no—
1491C2×C4—948no—
1492C2×C4—948no—
1493C2×C4—948no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—1884no—
1526C2×C4—1884no—
1527C2×C4—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4C2×D4×D4712yes—
1531C2×C4C2×D4×D4712yes—
1532C2×C4C2×D4×D4712yes—
1533C2×C4#41×D4712yes—
1534C2×C4#41×D4712yes—
1535C2×C4#41×D4712yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—474no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—942no—
1560C22—18816no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22C22×D4×D4711yescharacteristic
1573C22C2×#41×D4711yescharacteristic
1574C22C2×#41×D4711yescharacteristic
1575C22C2×#41×D4711yescharacteristic
1576C22C2×#41×D4711yescharacteristic
1577C22#1568995811yescharacteristic
1578C22#1568996011yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—474no—
1593C4—942no—
1594C4—942no—
1595C4—942no—
1596C4—942no—
1597C4—942no—
1598C4—1881no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C2—42no—
1606C2—81no—
1607C2—944no—
1608C2—3761no—
1609C2—1882no—
1610C2#525×D4711yescharacteristic
1611C2#532×D4711yescharacteristic
1612C2#2025671611yescharacteristic
1613C2#2025694311yescharacteristic
1614C2#2025694711yescharacteristic
1615C2#2025694911yescharacteristic
1616C2#2025695311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2601C2
prime radical#20248317C2
hypercenter#2601D47
hypocenterC47#34877
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#15689656C2semidirect
2. C2×#117×D47C2semidirect
3. #20249084C2semidirect
4. #20249082C2semidirect
5. #20249073C2semidirect
6. #20249071C2semidirect
7. #20248987C2semidirect
8. #20248985C2semidirect
9. #20248979C2semidirect
10. #20248866C2semidirect
11. #20248766C2semidirect
12. #20248544C2semidirect
14. #20246790C2semidirect
15. #20246788C2semidirect
16. #20246768C2semidirect
17. #20246766C2semidirect
18. #20246665C2semidirect
19. #20246663C2semidirect
20. #20246633C2semidirect
21. #20246631C2semidirect
22. #20245915C2semidirect
23. #20245909C2semidirect
24. #20245893C2semidirect
25. #20245889C2semidirect
26. #20245850C2semidirect
27. #20245848C2semidirect
28. #20245848C2semidirect
29. #20245846C2semidirect
30. C4×#13093982C2semidirect
31. C47×#2601C2semidirect
34. C2×#13094018C22semidirect
35. C2×#13094014C22semidirect
36. C2×#13094010C22semidirect
45. C2×#13093989C22semidirect
52. C2×(C22⋊D47)⋊C4C22semidirect
58. C2×#13093982C22semidirect
63. C2×#13093980C22semidirect
71. #15689065C22semidirect
72. #15689064C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689053C22semidirect
83. #15689046C22semidirect
86. #15689045C22semidirect
87. #15689045C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
93. #15689039C22semidirect
94. #15689038C22semidirect
106. #15689022C22semidirect
107. #15689021C22semidirect
108. #15689020C22semidirect
109. #15689020C22semidirect
110. #15689019C22semidirect
111. #15689018C22semidirect
112. #15689018C22semidirect
114. #15689017C22semidirect
116. #15689016C22semidirect
118. #15689015C22semidirect
119. #15689015C22semidirect
121. #15689014C22semidirect
122. #15689014C22semidirect
124. #15689013C22semidirect
126. #15689012C22semidirect
128. #15689011C22semidirect
129. #15689011C22semidirect
130. #15689008C22semidirect
131. #15689007C22semidirect
132. #15689004C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4×C4⋊Dic47C22semidirect
156. #15688974C22semidirect
157. #15688974C22semidirect
160. C22⋊C4×Dic47C22semidirect
161. C22⋊C4×Dic47C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688968C22semidirect
171. #15688968C22semidirect
172. C42×Dic47C22semidirect
173. C42×Dic47C22semidirect
174. C2×#126×C47C22semidirect
176. C47×#398C22semidirect
178. C47×#396C22semidirect
181. C47×#389C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C47×#387C22semidirect
188. C4×C4⋊C4×C47C22semidirect
323. C42×D47D4semidirect
806. #2601D47semidirect
843. C2×#126C2×D47semidirect
890. #398C2×D47semidirect
900. #396C2×D47semidirect
928. #389C2×D47semidirect
947. #388C2×D47semidirect
948. #388C2×D47semidirect
952. #387C2×D47semidirect
980. C4×C4⋊C4C2×D47semidirect
997. C47#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#156896562
C2×#117×D472
#202490842
#202490822
#202490732
#202490712
#202489872
#202489852
#202489792
#202488662
#202487662
#202485442
#202483172
#202467902
#202467882
#202467682
#202467662
#202466652
#202466632
#202466332
#202466312
#202459152
#202459092
#202458932
#202458892
#202458502
#202458482
#202458462
C4×#130939822
C47×#26012
#3487747