Finite Group Databasebeta

← #26422338

Subgroups — #26422338

Order 12032.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251780C211yesmaximal, characteristic, complemented
2#20251778C211yesmaximal, characteristic, complemented
3#20251776C211yesmaximal, characteristic, complemented
4#20251772C211yesmaximal, characteristic, complemented
5#20251769C211yesmaximal, characteristic, complemented
6#20251757C211yesmaximal, characteristic, complemented
7#20251754C211yesmaximal, characteristic, complemented
8#20251723C211yesmaximal, characteristic, complemented
9#20251715C211yesmaximal, characteristic
10#20251712C211yesmaximal, characteristic, complemented
11#20251708C211yesmaximal, characteristic, complemented
12#20251706C211yesmaximal, characteristic, complemented
13#20251702C211yesmaximal, characteristic, complemented
14#20251695C211yesmaximal, characteristic, complemented
15#20251686C211yesmaximal, characteristic
16#20245945C211yesmaximal, characteristic, complemented
17#20245942C211yesmaximal, characteristic, complemented
18#20245938C211yesmaximal, characteristic, complemented
19#20245929C211yesmaximal, characteristic, complemented
20#20245922C211yesmaximal, characteristic, complemented
21#20245915C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245900C211yesmaximal, characteristic
24#20245882C211yesmaximal, characteristic, complemented
25#20245880C211yesmaximal, characteristic, complemented
26#20245861C211yesmaximal, characteristic, complemented
27#20245848C211yesmaximal, characteristic, complemented
28#20245830C211yesmaximal, characteristic, complemented
29#20245826C211yesmaximal, characteristic, complemented
30C43×D47C211yesmaximal, characteristic, complemented
31C47×#2866C211yesmaximal, characteristic, complemented
32C2×#13094019C2211yescharacteristic
33C2×#13094017C2211yescharacteristic
34C2×#13094014C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094002C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093986C2211yescharacteristic
42C2×(C22⋊D47)⋊C4C2211yescharacteristic
43C2×(C22⋊D47)⋊C4C2211yescharacteristic
44C2×#13093982C2211yescharacteristic
45C2×#13093980C2211yescharacteristic
46C2×C42×D47C2211yescharacteristic
47C2×C42×D47C2211yescharacteristic
48C2×C42×D47C2211yescharacteristic
49C2×C42×D47C2211yescharacteristic
50C2×C42×D47C2211yescharacteristic
51C2×C42×D47C2211yescharacteristic
52C2×C42×D47C2211yescharacteristic
53#15689027C2211yescharacteristic
54#15689027C2211yescharacteristic
55#15689027C2211yescharacteristic
56#15689027C2211yescharacteristic
57#15689023C2211yescharacteristic
58#15689023C2211yescharacteristic
59#15689023C2211yescharacteristic
60#15689023C2211yescharacteristic
61#15689020C2211yescharacteristic
62#15689020C2211yescharacteristic
63#15689020C2211yescharacteristic
64#15689020C2211yescharacteristic
65#15689018C2211yescharacteristic
66#15689018C2211yescharacteristic
67#15689018C2211yescharacteristic
68#15689018C2211yescharacteristic
69#15689017C2211yescharacteristic
70#15689017C2211yescharacteristic
71#15689017C2211yescharacteristic
72#15689016C2211yescharacteristic
73#15689016C2211yescharacteristic
74#15689016C2211yescharacteristic
75#15689015C2211yescharacteristic
76#15689015C2211yescharacteristic
77#15689015C2211yescharacteristic
78#15689014C2211yescharacteristic
79#15689014C2211yescharacteristic
80#15689014C2211yescharacteristic
81#15689014C2211yescharacteristic
82#15689014C2211yescharacteristic
83#15689014C2211yescharacteristic
84#15689014C2211yescharacteristic
85#15689013C2211yescharacteristic
86#15689013C2211yescharacteristic
87#15689013C2211yescharacteristic
88#15689012C2211yescharacteristic
89#15689012C2211yescharacteristic
90#15689012C2211yescharacteristic
91#15689011C2211yescharacteristic
92#15689011C2211yescharacteristic
93#15689011C2211yescharacteristic
94#15689010C2211yescharacteristic
95#15689010C2211yescharacteristic
96#15689010C2211yescharacteristic
97#15689009C2211yescharacteristic
98#15689009C2211yescharacteristic
99#15689009C2211yescharacteristic
100#15689008C2211yescharacteristic
101#15689008C2211yescharacteristic
102#15689008C2211yescharacteristic
103#15689007C2211yescharacteristic
104#15689007C2211yescharacteristic
105#15689007C2211yescharacteristic
106#15689007C2211yescharacteristic
107#15689007C2211yescharacteristic
108#15689007C2211yescharacteristic
109#15689007C2211yescharacteristic
110#15689006C2211yescharacteristic
111#15689006C2211yescharacteristic
112#15689006C2211yescharacteristic
113#15689005C2211yescharacteristic
114#15689005C2211yescharacteristic
115#15689005C2211yescharacteristic
116#15689004C2211yescharacteristic
117#15689004C2211yescharacteristic
118#15689004C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688994C2211yescharacteristic
132#15688994C2211yescharacteristic
133#15688994C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688990C2211yescharacteristic
136#15688990C2211yescharacteristic
137#15688987C2211yescharacteristic
138#15688987C2211yescharacteristic
139#15688985C2211yescharacteristic
140#15688985C2211yescharacteristic
141#15688982C2211yescharacteristic
142#15688982C2211yescharacteristic
143C4⋊C4×Dic47C2211yescharacteristic
144C4⋊C4×Dic47C2211yescharacteristic
145C4⋊C4×Dic47C2211yescharacteristic
146C4⋊C4×Dic47C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149#15688974C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152#15688974C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688968C2211yescharacteristic
164#15688968C2211yescharacteristic
165C42×Dic47C2211yescharacteristic
166C42×Dic47C2211yescharacteristic
167C42×Dic47C2211yescharacteristic
168C42×Dic47C2211yescharacteristic
169C42×Dic47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C47×#388C2211yescharacteristic
173C47×#388C2211yescharacteristic
174C47×#388C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#387C2211yescharacteristic
184C47×#387C2211yescharacteristic
185C47×#387C2211yescharacteristic
186C43×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200#13094019—24no—
201#13094017—24no—
202#13094014—24no—
203#13094010—24no—
204#13094009—24no—
205#13094006—24no—
206#13094002—24no—
207#13093997—24no—
208#13093989—24no—
209#13093986—24no—
210(C22⋊D47)⋊C4—24no—
211(C22⋊D47)⋊C4—24no—
212#13093982—24no—
213#13093980—24no—
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×(C2×D47)⋊C4C2311yescharacteristic
243C2×(C2×D47)⋊C4C2311yescharacteristic
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C42×D47—24no—
288C42×D47—24no—
289C42×D47—24no—
290C42×D47—24no—
291C42×D47—24no—
292C42×D47—24no—
293C42×D47—24no—
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C42×C47C2311yescharacteristic
343C2×C42×C47C2311yescharacteristic
344C2×C42×C47C2311yescharacteristic
345C2×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C23×D47C2411yescharacteristic
365C23×D47C2411yescharacteristic
366C22×C4×C47C2411yescharacteristic
367C22×C4×C47C2411yescharacteristic
368C22×C4×C47C2411yescharacteristic
369C22×C4×C47C2411yescharacteristic
370C22×C4×C47C2411yescharacteristic
371C22×C4×C47C2411yescharacteristic
372C22×C4×C47C2411yescharacteristic
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C2×C22⋊D47—22no—
381C2×C22⋊D47—22no—
382C2×C22⋊D47—22no—
383C2×C22⋊D47—22no—
384C2×C22⋊D47—22no—
385C2×C22⋊D47—22no—
386C22×Dic47—22no—
387C22×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47C2411yescharacteristic
390C22×Dic47C2411yescharacteristic
391C22×Dic47C2411yescharacteristic
392C22×Dic47C2411yescharacteristic
393C22×Dic47C2411yescharacteristic
394C22×Dic47C2411yescharacteristic
395C22×Dic47C2411yescharacteristic
396C22×Dic47C2411yescharacteristic
397C22×Dic47C2411yescharacteristic
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2411yescharacteristic
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C2×D188—22no—
404C2×D188—22no—
405C2×D188—22no—
406C2×C4×D47—22no—
407C2×C4×D47—22no—
408C2×C4×D47—22no—
409C2×C4×D47—22no—
410C2×C4×D47—22no—
411C2×C4×D47—22no—
412C2×C4×D47—22no—
413C2×C4×D47—22no—
414C2×C4×D47—22no—
415C2×C4×D47—22no—
416C2×C4×D47—22no—
417C2×C4×D47—22no—
418C2×C4×D47—22no—
419C2×C4×D47—22no—
420C2×C4×D47—22no—
421C2×C4×D47—22no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×C4×D47—22no—
426C2×C4×D47—22no—
427C2×C4×D47#4114yes—
428C2×C4×D47#4114yes—
429C2×C4×D47#4114yes—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊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—22no—
446C22⋊C4×C47—22no—
447C42×C47—22no—
448C42×C47—22no—
449C42×C47—22no—
450C42×C47—22no—
451C42×C47—22no—
452C42×C47—22no—
453C42×C47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—22no—
459(C2×D47)⋊C4—22no—
460(C2×D47)⋊C4—22no—
461(C2×D47)⋊C4—22no—
462(C2×D47)⋊C4—22no—
463(C2×D47)⋊C4—22no—
464(C2×D47)⋊C4—22no—
465(C2×D47)⋊C4—22no—
466(C2×D47)⋊C4—22no—
467(C2×D47)⋊C4—22no—
468(C2×D47)⋊C4—22no—
469(C2×D47)⋊C4—22no—
470(C2×D47)⋊C4—22no—
471(C2×D47)⋊C4—22no—
472(C2×D47)⋊C4—22no—
473(C2×D47)⋊C4—22no—
474(C2×D47)⋊C4—22no—
475(C2×D47)⋊C4—22no—
476(C2×D47)⋊C4—22no—
477C4⋊Dic47—22no—
478C4⋊Dic47—22no—
479C4⋊Dic47—22no—
480C4⋊Dic47—22no—
481C4⋊Dic47—22no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—22no—
487Dic47⋊C4—22no—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—22no—
496Dic47⋊C4—22no—
497Dic47⋊C4—22no—
498Dic47⋊C4—22no—
499Dic47⋊C4—22no—
500C4×Dic47—22no—
501C4×Dic47—22no—
502C4×Dic47—22no—
503C4×Dic47—22no—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—22no—
507C4×Dic47—22no—
508C4×Dic47—22no—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—22no—
512C4×Dic47—22no—
513C4×Dic47—22no—
514C4×Dic47—22no—
515C4×Dic47—22no—
516C4×Dic47—22no—
517C4×Dic47—22no—
518C4×Dic47—22no—
519C4×Dic47—22no—
520C4×Dic47—22no—
521C4×Dic47—22no—
522C4×Dic47—22no—
523C4×Dic47#4114yes—
524C4×Dic47#4114yes—
525C4×Dic47#4114yes—
526C4×Dic47#4114yes—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—21no—
533C23×C47—21no—
534C23×C47C2511yescharacteristic
535C22×D47—21no—
536C22×D47—21no—
537C22×D47—21no—
538C22×D47—21no—
539C22×D47—21no—
540C22×D47—21no—
541C22×D47—21no—
542C22×D47—21no—
543C22×D47—21no—
544C22×D47—21no—
545C22×D47—21no—
546C22×D47C2×#4112yes—
547C22×D47C2×#4112yes—
548C22×D47C2×#4112yes—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47C2×#4112yes—
585C2×C4×C47C2×#4112yes—
586C2×C4×C47C2×#4112yes—
587C2×C4×C47C2×#4112yes—
588C2×C4×C47C2×#4112yes—
589C2×C4×C47C2×#4112yes—
590C2×C4×C47C2×#4112yes—
591C22⋊D47—44no—
592C22⋊D47—44no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—44no—
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47C2×#4112yes—
628C2×Dic47C2×#4112yes—
629C2×Dic47C2×#4112yes—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633C2×Dic47C2×#4112yes—
634C2×Dic47C2×#4112yes—
635C2×Dic47C2×#4112yes—
636D188—44no—
637C4×D47—28no—
638C4×D47—28no—
639C4×D47—28no—
640C4×D47—28no—
641C4×D47—28no—
642C4×D47—28no—
643C4×D47—28no—
644C4×D47—44no—
645Dic94—44no—
646#36638—471nomaximal, Sylow
647C22×C47—41no—
648C22×C47—41no—
649C22×C47—41no—
650C22×C47—41no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47C22×#4111yescharacteristic
655C22×C47C22×#4111yescharacteristic
656C22×C47C22×#4111yescharacteristic
657C22×C47C22×#4111yescharacteristic
658C22×C47C22×#4111yescharacteristic
659C22×C47C22×#4111yescharacteristic
660C22×C47C22×#4111yescharacteristic
661C2×D47—22no—
662C2×D47—22no—
663C2×D47—22no—
664C2×D47—22no—
665C2×D47—22no—
666C2×D47—22no—
667C2×D47—41no—
668C2×D47—41no—
669C2×D47—41no—
670C2×D47—41no—
671C2×D47—41no—
672C2×D47—41no—
673C2×D47—41no—
674C2×D47#52914yes—
675C4×C47—22no—
676C4×C47—22no—
677C4×C47—22no—
678C4×C47—22no—
679C4×C47—22no—
680C4×C47—22no—
681C4×C47—22no—
682C4×C47—41no—
683C4×C47—41no—
684C4×C47—41no—
685C4×C47—41no—
686C4×C47—41no—
687C4×C47—41no—
688C4×C47—41no—
689Dic47—22no—
690Dic47—22no—
691Dic47—22no—
692Dic47—22no—
693Dic47—22no—
694Dic47—41no—
695Dic47—41no—
696Dic47—41no—
697Dic47—41no—
698Dic47—41no—
699Dic47—41no—
700Dic47—41no—
701Dic47#52914yes—
702Dic47#52914yes—
703#2866—471no—
704#2866D4711yescharacteristic, complemented
705#2865—471no—
706#2865—471no—
707#2864—471no—
708#2863—471no—
709#2861—471no—
710#2860—471no—
711#2855—471no—
712#2854—471no—
713#2853—471no—
714#2853—471no—
715#2852—471no—
716#2852—471no—
717#2851—471no—
718#2850—471no—
719C4×#125—471no—
720C4×#126—471no—
721C4×#126—471no—
722C4×#124—471no—
723C4×C22⋊Q8—471no—
724C4×#123—471no—
725C4×#123—471no—
726C4×#121—471no—
727#2298—471no—
728#2298—471no—
729#2295—471no—
730#2293—471no—
731#2290—471no—
732#2290—471no—
733C2×C43—471no—
734C2×C47—81no—
735C2×C47C2×#52911yescharacteristic
736C2×C47C2×#52911yescharacteristic
737C2×C47C2×#52911yescharacteristic
738C2×C47#344411yescharacteristic
739C2×C47#344411yescharacteristic
740C2×C47#344411yescharacteristic
741C2×C47#344411yescharacteristic
742D47—24no—
743D47—81no—
744C2×#126—471no—
745C2×#126—471no—
746C2×#125—471no—
747C2×#124—471no—
748C2×#123—471no—
749C2×#123—471no—
750C2×C22⋊Q8—471no—
751C2×#121—471no—
752C2×C4×Q8—471no—
753C2×C4×D4—471no—
754C2×C4×D4—471no—
755C2×C4×D4—471no—
756C2×#117—471no—
757C2×#117—471no—
758C22×C42—471no—
759C22×C42—471no—
760C22×C42—471no—
761C22×C42—471no—
762C22×C42—471no—
763C22×C42—471no—
764C22×C42—471no—
765#391—471no—
766#391—471no—
767#391—471no—
768#391—471no—
769#390—471no—
770#390—471no—
771#390—471no—
772#390—471no—
773#389—471no—
774#389—471no—
775#389—471no—
776#389—471no—
777#389—471no—
778#389—471no—
779#389—471no—
780#389—471no—
781#388—471no—
782#388—471no—
783#388—471no—
784#388—471no—
785#388—471no—
786#388—471no—
787#388—471no—
788#388—471no—
789#388—471no—
790#388—471no—
791#388—471no—
792#388—471no—
793#388—471no—
794#388—471no—
795#388—471no—
796#388—471no—
797#388—471no—
798#388—471no—
799#388—471no—
800#388—471no—
801#388—471no—
802#388—471no—
803#388—471no—
804#388—471no—
805#388—471no—
806#388C2×D4711yescharacteristic
807#388C2×D4711yescharacteristic
808#388C2×D4711yescharacteristic
809#388C2×D4711yescharacteristic
810#388C2×D4711yescharacteristic
811#388C2×D4711yescharacteristic
812#388C2×D4711yescharacteristic
813#387—471no—
814#387—471no—
815#387—471no—
816#387—471no—
817#387—471no—
818#387—471no—
819#387—471no—
820#387—471no—
821#387—471no—
822#387—471no—
823#387—471no—
824#387—471no—
825#387—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387—471no—
832#387—471no—
833#387—471no—
834#387—471no—
835#387—471no—
836#387—471no—
837#387—471no—
838#387C2×D4711yescharacteristic
839#387C2×D4711yescharacteristic
840#387C2×D4711yescharacteristic
841#387C2×D4711yescharacteristic
842#387C2×D4711yescharacteristic
843#387C2×D4711yescharacteristic
844#387C2×D4711yescharacteristic
845#386—471no—
846#386—471no—
847#386—471no—
848#386—471no—
849#386—471no—
850#386—471no—
851#386—471no—
852#386—471no—
853#385—471no—
854#385—471no—
855#385—471no—
856#385—471no—
857#385—471no—
858#385—471no—
859#385—471no—
860#385—471no—
861#383—471no—
862#383—471no—
863#382—471no—
864#382—471no—
865#381—471no—
866#381—471no—
867#380—471no—
868#380—471no—
869C4×C4⋊C4—471no—
870C4×C4⋊C4—471no—
871C4×C4⋊C4—471no—
872C4×C4⋊C4—471no—
873C4×C4⋊C4—471no—
874C4×C4⋊C4—471no—
875C4×C4⋊C4—471no—
876C4×C4⋊C4—471no—
877C4×C4⋊C4—471no—
878C4×C4⋊C4—471no—
879C4×C22⋊C4—471no—
880C4×C22⋊C4—471no—
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4—471no—
885C4×C22⋊C4—471no—
886C4×C22⋊C4—471no—
887C4×C22⋊C4—471no—
888C4×C22⋊C4—471no—
889#376—471no—
890#376—471no—
891C43—471no—
892C43—471no—
893C43—471no—
894C43—471no—
895C43—471no—
896C43—471no—
897C43—471no—
898C43C2×D4711yescharacteristic
899C47#3663811yescharacteristic, complemented, Sylow
900C22×Q8—471no—
901C22×D4—471no—
902C22×D4—471no—
903C22×D4—471no—
904C23×C4—471no—
905C23×C4—471no—
906C23×C4—471no—
907C23×C4—471no—
908C23×C4—471no—
909C23×C4—471no—
910C23×C4—471no—
911C23×C4—471no—
912C23×C4—471no—
913#126—944no—
914#126—944no—
915#125—944no—
916#124—944no—
917#123—944no—
918#123—944no—
919C22⋊Q8—944no—
920#121—944no—
921C4×Q8—944no—
922C4×D4—944no—
923C4×D4—944no—
924C4×D4—944no—
925#117—944no—
926#117—944no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4C22×D4711yescharacteristic
951C2×C4⋊C4C22×D4711yescharacteristic
952C2×C4⋊C4C22×D4711yescharacteristic
953C2×C4⋊C4C22×D4711yescharacteristic
954C2×C4⋊C4C22×D4711yescharacteristic
955C2×C4⋊C4C22×D4711yescharacteristic
956C2×C4⋊C4C22×D4711yescharacteristic
957C2×C22⋊C4—471no—
958C2×C22⋊C4—471no—
959C2×C22⋊C4—471no—
960C2×C22⋊C4—471no—
961C2×C22⋊C4—471no—
962C2×C22⋊C4—471no—
963C2×C22⋊C4—471no—
964C2×C22⋊C4—471no—
965C2×C22⋊C4—471no—
966C2×C22⋊C4—471no—
967C2×C22⋊C4—471no—
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
973C2×C22⋊C4—471no—
974C2×C22⋊C4—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4—471no—
979C2×C22⋊C4—471no—
980C2×C22⋊C4C22×D4711yescharacteristic
981C2×C22⋊C4C22×D4711yescharacteristic
982C2×C22⋊C4C22×D4711yescharacteristic
983C2×C22⋊C4C22×D4711yescharacteristic
984C2×C22⋊C4C22×D4711yescharacteristic
985C2×C22⋊C4C22×D4711yescharacteristic
986C2×C22⋊C4C22×D4711yescharacteristic
987C2×C42—471no—
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—471no—
997C2×C42—471no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—471no—
1001C2×C42—471no—
1002C2×C42—471no—
1003C2×C42—471no—
1004C2×C42—471no—
1005C2×C42—471no—
1006C2×C42—471no—
1007C2×C42—471no—
1008C2×C42—471no—
1009C2×C42—471no—
1010C2×C42—471no—
1011C2×C42—471no—
1012C2×C42—471no—
1013C2×C42—471no—
1014C2×C42—944no—
1015C2×C42—944no—
1016C2×C42—944no—
1017C2×C42—944no—
1018C2×C42—944no—
1019C2×C42—944no—
1020C2×C42—944no—
1021C2×C42C22×D4711yescharacteristic
1022C2×C42C22×D4711yescharacteristic
1023C2×C42C22×D4711yescharacteristic
1024C2×C42C22×D4711yescharacteristic
1025C2×C42C22×D4711yescharacteristic
1026C2×C42C22×D4711yescharacteristic
1027C2×C42C22×D4711yescharacteristic
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95—471no—
1052#95—471no—
1053#95—471no—
1054#95—471no—
1055#95—471no—
1056#95—471no—
1057#95—471no—
1058#95—471no—
1059#95—471no—
1060#95—471no—
1061#95—471no—
1062#95C22×D4711yescharacteristic
1063#95C22×D4711yescharacteristic
1064#95C22×D4711yescharacteristic
1065#95C22×D4711yescharacteristic
1066#95C22×D4711yescharacteristic
1067#95C22×D4711yescharacteristic
1068#95C22×D4711yescharacteristic
1069#95C22×D4711yescharacteristic
1070#95C22×D4711yescharacteristic
1071#95C22×D4711yescharacteristic
1072#95C22×D4711yescharacteristic
1073#95C22×D4711yescharacteristic
1074#95C22×D4711yescharacteristic
1075#95C22×D4711yescharacteristic
1076C24—471no—
1077C24—471no—
1078C24C23×D4711yescharacteristic
1079C2×Q8—942no—
1080C2×Q8—942no—
1081C2×Q8—942no—
1082C2×D4—942no—
1083C2×D4—942no—
1084C2×D4—942no—
1085C2×D4—942no—
1086C2×D4—942no—
1087C2×D4—942no—
1088C2×D4—942no—
1089C2×D4—942no—
1090C2×D4—942no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—471no—
1094C22×C4—471no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—474no—
1099C22×C4—474no—
1100C22×C4—474no—
1101C22×C4—471no—
1102C22×C4—471no—
1103C22×C4—471no—
1104C22×C4—471no—
1105C22×C4—471no—
1106C22×C4—471no—
1107C22×C4—471no—
1108C22×C4—942no—
1109C22×C4—942no—
1110C22×C4—942no—
1111C22×C4—942no—
1112C22×C4—942no—
1113C22×C4—942no—
1114C22×C4—942no—
1115C22×C4—942no—
1116C22×C4—942no—
1117C22×C4—942no—
1118C22×C4—942no—
1119C22×C4—942no—
1120C22×C4—942no—
1121C22×C4—942no—
1122C22×C4—942no—
1123C22×C4—942no—
1124C22×C4—942no—
1125C22×C4—942no—
1126C22×C4—942no—
1127C22×C4—942no—
1128C22×C4—942no—
1129C22×C4—942no—
1130C22×C4—942no—
1131C22×C4—942no—
1132C22×C4C23×D4711yescharacteristic
1133C22×C4C23×D4711yescharacteristic
1134C22×C4C23×D4711yescharacteristic
1135C22×C4C23×D4711yescharacteristic
1136C22×C4C23×D4711yescharacteristic
1137C22×C4C23×D4711yescharacteristic
1138C22×C4C23×D4711yescharacteristic
1139C22×C4C23×D4711yescharacteristic
1140C22×C4C23×D4711yescharacteristic
1141C22×C4C23×D4711yescharacteristic
1142C22×C4C23×D4711yescharacteristic
1143C22×C4C23×D4711yescharacteristic
1144C22×C4C23×D4711yescharacteristic
1145C22×C4C23×D4711yescharacteristic
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—942no—
1154C4⋊C4—942no—
1155C4⋊C4—942no—
1156C4⋊C4—942no—
1157C4⋊C4—942no—
1158C4⋊C4—942no—
1159C4⋊C4—942no—
1160C4⋊C4—942no—
1161C4⋊C4—942no—
1162C4⋊C4—942no—
1163C4⋊C4—942no—
1164C4⋊C4—942no—
1165C4⋊C4—942no—
1166C4⋊C4—942no—
1167C4⋊C4—942no—
1168C4⋊C4—942no—
1169C4⋊C4—942no—
1170C4⋊C4—942no—
1171C4⋊C4—942no—
1172C4⋊C4—942no—
1173C4⋊C4—942no—
1174C4⋊C4—942no—
1175C4⋊C4—942no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—942no—
1184C22⋊C4—942no—
1185C22⋊C4—942no—
1186C22⋊C4—942no—
1187C22⋊C4—942no—
1188C22⋊C4—942no—
1189C22⋊C4—942no—
1190C22⋊C4—942no—
1191C22⋊C4—942no—
1192C22⋊C4—942no—
1193C22⋊C4—942no—
1194C22⋊C4—942no—
1195C22⋊C4—942no—
1196C22⋊C4—942no—
1197C22⋊C4—942no—
1198C22⋊C4—942no—
1199C22⋊C4—942no—
1200C22⋊C4—942no—
1201C22⋊C4—942no—
1202C22⋊C4—942no—
1203C22⋊C4—942no—
1204C22⋊C4—942no—
1205C22⋊C4—942no—
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—22no—
1211C42—22no—
1212C42—22no—
1213C42—474no—
1214C42—474no—
1215C42—474no—
1216C42—474no—
1217C42—942no—
1218C42—942no—
1219C42—942no—
1220C42—942no—
1221C42—942no—
1222C42—942no—
1223C42—942no—
1224C42—942no—
1225C42—942no—
1226C42—942no—
1227C42—942no—
1228C42—942no—
1229C42—942no—
1230C42—942no—
1231C42—942no—
1232C42—942no—
1233C42—942no—
1234C42—942no—
1235C42—942no—
1236C42—942no—
1237C42—942no—
1238C42—942no—
1239C42—942no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—472no—
1248C23—472no—
1249C23—472no—
1250C23—941no—
1251C23—941no—
1252C23—941no—
1253C23—941no—
1254C23—941no—
1255C23—941no—
1256C23—941no—
1257C23—941no—
1258C23—941no—
1259C23—941no—
1260C23—941no—
1261C23C24×D4711yescharacteristic
1262Q8—1884no—
1263D4—1884no—
1264D4—1884no—
1265D4—1884no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—472no—
1302C2×C4—472no—
1303C2×C4—472no—
1304C2×C4—472no—
1305C2×C4—472no—
1306C2×C4—472no—
1307C2×C4—472no—
1308C2×C4—472no—
1309C2×C4—472no—
1310C2×C4—472no—
1311C2×C4—472no—
1312C2×C4—948no—
1313C2×C4—948no—
1314C2×C4—948no—
1315C2×C4—948no—
1316C2×C4—948no—
1317C2×C4—948no—
1318C2×C4—948no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—941no—
1334C2×C4—941no—
1335C2×C4—941no—
1336C2×C4—941no—
1337C2×C4—941no—
1338C2×C4—941no—
1339C2×C4—941no—
1340C2×C4—941no—
1341C2×C4—941no—
1342C2×C4—941no—
1343C2×C4—941no—
1344C2×C4—941no—
1345C2×C4—941no—
1346C2×C4—941no—
1347C2×C4—941no—
1348C2×C4—941no—
1349C2×C4—941no—
1350C2×C4—1884no—
1351C2×C4—1884no—
1352C2×C4#41×D4712yes—
1353C2×C4#41×D4712yes—
1354C2×C4#41×D4712yes—
1355C2×C4#41×D4712yes—
1356C2×C4#41×D4712yes—
1357C2×C4#41×D4712yes—
1358C2×C4#41×D4712yes—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—474no—
1367C22—942no—
1368C22—942no—
1369C22—942no—
1370C22—942no—
1371C22—942no—
1372C22—942no—
1373C22—1881no—
1374C22—1881no—
1375C22—1881no—
1376C22—1881no—
1377C22—1881no—
1378C22—1881no—
1379C22—1881no—
1380C22C2×#41×D4711yescharacteristic
1381C22C2×#41×D4711yescharacteristic
1382C22C2×#41×D4711yescharacteristic
1383C22C2×#41×D4711yescharacteristic
1384C22C2×#41×D4711yescharacteristic
1385C22C2×#41×D4711yescharacteristic
1386C22C2×#41×D4711yescharacteristic
1387C4—22no—
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—474no—
1402C4—474no—
1403C4—942no—
1404C4—942no—
1405C4—942no—
1406C4—942no—
1407C4—942no—
1408C4—1881no—
1409C4—1881no—
1410C4—1881no—
1411C4—1881no—
1412C4—1881no—
1413C4—1881no—
1414C4—1881no—
1415C2—81no—
1416C2—944no—
1417C2—3761no—
1418C2#529×D4711yescharacteristic
1419C2#529×D4711yescharacteristic
1420C2#529×D4711yescharacteristic
1421C2#2025668211yescharacteristic
1422C2#2025668211yescharacteristic
1423C2#2025668211yescharacteristic
1424C2#2025668211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2866C2
prime radicalC2×#13093997C22
hypercenter#2866D47
hypocenterC47#36638
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2866

Complements

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

NH ≅ G/Ntype
1. #20251780C2semidirect
2. #20251778C2semidirect
3. #20251776C2semidirect
4. #20251772C2semidirect
5. #20251769C2semidirect
6. #20251757C2semidirect
7. #20251754C2semidirect
8. #20251723C2semidirect
10. #20251712C2semidirect
11. #20251708C2semidirect
12. #20251706C2semidirect
13. #20251702C2semidirect
14. #20251695C2semidirect
16. #20245945C2semidirect
17. #20245942C2semidirect
18. #20245938C2semidirect
19. #20245929C2semidirect
20. #20245922C2semidirect
21. #20245915C2semidirect
22. #20245909C2semidirect
24. #20245882C2semidirect
25. #20245880C2semidirect
26. #20245861C2semidirect
27. #20245848C2semidirect
28. #20245830C2semidirect
29. #20245826C2semidirect
30. C43×D47C2semidirect
31. C47×#2866C2semidirect
704. #2866D47semidirect
899. C47#36638semidirect

Maximal subgroups

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

subgroupindex
#202517802
#202517782
#202517762
#202517722
#202517692
#202517572
#202517542
#202517232
#202517152
#202517122
#202517082
#202517062
#202517022
#202516952
#202516862
#202459452
#202459422
#202459382
#202459292
#202459222
#202459152
#202459092
#202459002
#202458822
#202458802
#202458612
#202458482
#202458302
#202458262
C43×D472
C47×#28662
#3663847