Finite Group Databasebeta

← #26422188

Subgroups — #26422188

Order 12032.

3202 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689651C211yesmaximal, characteristic, complemented
2C22×C42×D47C211yesmaximal, characteristic, complemented
3#20251723C211yesmaximal, characteristic, complemented
4#20251715C211yesmaximal, characteristic, complemented
5#20251712C211yesmaximal, characteristic, complemented
6#20251708C211yesmaximal, characteristic, complemented
7#20251706C211yesmaximal, characteristic, complemented
8#20251705C211yesmaximal, characteristic, complemented
9#20251702C211yesmaximal, characteristic, complemented
10#20251701C211yesmaximal, characteristic, complemented
11#20251695C211yesmaximal, characteristic, complemented
12#20251694C211yesmaximal, characteristic, complemented
13#20251686C211yesmaximal, characteristic, complemented
14#20251685C211yesmaximal, characteristic, complemented
15#20251683C211yesmaximal, characteristic, complemented
16#20251679C211yesmaximal, characteristic, complemented
17#20251674C211yesmaximal, characteristic, complemented
18#20251669C211yesmaximal, characteristic
19C4×#13094002C211yesmaximal, characteristic, complemented
20C4×#13094001C211yesmaximal, characteristic, complemented
21C4×#13094009C211yesmaximal, characteristic, complemented
22C4×#13094006C211yesmaximal, characteristic, complemented
23C4×#13093997C211yesmaximal, characteristic, complemented
24C4×#13093996C211yesmaximal, characteristic, complemented
25C4×#13093994C211yesmaximal, characteristic, complemented
26C4×#13093992C211yesmaximal, characteristic, complemented
27#20245832C211yesmaximal, characteristic, complemented
28#20245831C211yesmaximal, characteristic, complemented
29#20245825C211yesmaximal, characteristic, complemented
30#20245780C211yesmaximal, characteristic, complemented
31C47×#2290C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689651—28no—
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic
41C2×#13094009C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094002C2211yescharacteristic
45C2×#13094002C2211yescharacteristic
46C2×#13094001C2211yescharacteristic
47C2×#13093997C2211yescharacteristic
48C2×#13093997C2211yescharacteristic
49C2×#13093996C2211yescharacteristic
50C2×#13093994C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×C4×Dic94C2211yescharacteristic, complemented
53C2×C4×D188C2211yescharacteristic
54C2×C4×D188C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic, complemented
59C2×#13093981C2211yescharacteristic, complemented
60C22×C4×Dic47C2211yescharacteristic
61C22×C4×Dic47C2211yescharacteristic
62C22×C4×Dic47C2211yescharacteristic
63C2×C42×D47—28no—
64C2×C42×D47C2211yescharacteristic
65C2×C42×D47C2211yescharacteristic
66C2×C42×D47C2211yescharacteristic
67C2×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic
72#15689027C2211yescharacteristic, complemented
73#15689027C2211yescharacteristic, complemented
74#15689023C2211yescharacteristic, complemented
75#15689023C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689020C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689018C2211yescharacteristic, complemented
80#15689017C2211yescharacteristic, complemented
81#15689017C2211yescharacteristic, complemented
82#15689016C2211yescharacteristic, complemented
83#15689016C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689015C2211yescharacteristic, complemented
86#15689014C2211yescharacteristic, complemented
87#15689014C2211yescharacteristic, complemented
88#15689013C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic, complemented
90#15689012C2211yescharacteristic, complemented
91#15689012C2211yescharacteristic, complemented
92#15689011C2211yescharacteristic, complemented
93#15689011C2211yescharacteristic, complemented
94#15689010C2211yescharacteristic, complemented
95#15689010C2211yescharacteristic, complemented
96#15689009C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689008C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689007C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689006C2211yescharacteristic, complemented
103#15689006C2211yescharacteristic, complemented
104#15689005C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689004C2211yescharacteristic, complemented
108#15689003C2211yescharacteristic
109#15689003C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689002C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689000C2211yescharacteristic
119#15689000C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688998C2211yescharacteristic
127#15688998C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688996C2211yescharacteristic
136#15688995C2211yescharacteristic
137#15688995C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688990C2211yescharacteristic, complemented
145#15688990C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688987C2211yescharacteristic, complemented
148#15688985C2211yescharacteristic
149#15688985C2211yescharacteristic
150#15688985C2211yescharacteristic
151#15688985C2211yescharacteristic
152#15688982C2211yescharacteristic
153#15688982C2211yescharacteristic
154#15688982C2211yescharacteristic
155#15688982C2211yescharacteristic
156#15688981C2211yescharacteristic
157#15688981C2211yescharacteristic
158#15688978C2211yescharacteristic
159#15688978C2211yescharacteristic
160C4×Dic47⋊C4C2211yescharacteristic, complemented
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162C4×Dic47⋊C4C2211yescharacteristic, complemented
163C4×Dic47⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic47C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic
172C4×C22⋊Dic47C2211yescharacteristic, complemented
173#15688969C2211yescharacteristic, complemented
174C2×C4×D4×C47C2211yescharacteristic
175C2×#117×C47C2211yescharacteristic, complemented
176C22×C42×C47C2211yescharacteristic
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C47×#376C2211yescharacteristic, 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
199C23×Dic47C2311yescharacteristic
200C22×C4×D47—24no—
201C22×C4×D47—24no—
202C22×C4×D47—24no—
203C22×C4×D47—24no—
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—24no—
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094019—24no—
223#13094017—24no—
224#13094014—24no—
225#13094010—24no—
226#13094009—24no—
227#13094009—24no—
228#13094006—24no—
229#13094006—24no—
230#13094002—24no—
231#13094002—24no—
232#13094001—24no—
233#13093997—24no—
234#13093997—24no—
235#13093996—24no—
236#13093994—24no—
237#13093992—24no—
238C4×Dic94—24no—
239C4×D188—24no—
240C4×D188—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—24no—
243C4×C22⋊D47—24no—
244C4×C22⋊D47—24no—
245#13093981—24no—
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
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
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47—24no—
298C2×C4×Dic47—24no—
299C2×C4×Dic47—24no—
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
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
315C42×D47—24no—
316C42×D47—24no—
317C42×D47—24no—
318C42×D47—24no—
319C42×D47—24no—
320C42×D47—24no—
321C42×D47—24no—
322C42×D47D418yescomplemented
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C4×D4×C47—24no—
359#117×C47—24no—
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊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×C47—24no—
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×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
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47#4114yes—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47#4114yes—
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
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
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
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—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47#4114yes—
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C2×D188—22no—
466C2×D188—22no—
467C2×D188—22no—
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×C4×D47—232no—
472C2×C4×D47—232no—
473C2×C4×D47—232no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
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×D47C2×D414yes—
508C2×C4×D47C2×D414yes—
509C2×C4×D47C2×D414yes—
510C2×C4×D47#4114yes—
511C2×C4×D47#4114yes—
512C2×C4×D47#4114yes—
513C2×Dic94—22no—
514C2×Dic94—22no—
515C2×Dic94—22no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C42×C47—22no—
530C42×C47—22no—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—22no—
535C42×C47C2×D414yes—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
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—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—22no—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47C2×D414yes—
600C4×Dic47C2×D414yes—
601C4×Dic47C2×D414yes—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47C2×#4112yes—
614C23×C47C2×#4112yes—
615C23×C47C2×#4112yes—
616C23×C47C2511yescharacteristic
617C22×D47—28no—
618C22×D47—28no—
619C22×D47—28no—
620C22×D47—28no—
621C22×D47—28no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—28no—
631C22×D47—28no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47C22×D412yes—
640C22×D47C2×#4112yes—
641C22×D47C2×#4112yes—
642C22×D47C2×#4112yes—
643C22×D47C2×#4112yes—
644C22×D47C2×#4112yes—
645D4×C47—44no—
646C2×C4×C47—28no—
647C2×C4×C47—28no—
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—28no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
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—44no—
681C2×C4×C47C22×D412yes—
682C2×C4×C47C22×D412yes—
683C2×C4×C47C22×D412yes—
684C2×C4×C47C2×#4112yes—
685C2×C4×C47C2×#4112yes—
686C2×C4×C47C2×#4112yes—
687C2×C4×C47C2×#4112yes—
688C2×C4×C47C2×#4112yes—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C2×Dic47—28no—
694C2×Dic47—28no—
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—28no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
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—21no—
726C2×Dic47—21no—
727C2×Dic47C22×D412yes—
728C2×Dic47C22×D412yes—
729C2×Dic47C22×D412yes—
730C2×Dic47C2×#4112yes—
731C2×Dic47C2×#4112yes—
732C2×Dic47C2×#4112yes—
733C2×Dic47C2×#4112yes—
734C2×Dic47C2×#4112yes—
735D188—44no—
736D188—44no—
737C4×D47—28no—
738C4×D47—28no—
739C4×D47—28no—
740C4×D47—28no—
741C4×D47—28no—
742C4×D47—28no—
743C4×D47—28no—
744C4×D47—28no—
745C4×D47—28no—
746C4×D47—28no—
747C4×D47—28no—
748C4×D47—28no—
749C4×D47—44no—
750Dic94—44no—
751#36621—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47#52914yescomplemented
766C22×C47C23×D411yescharacteristic
767C22×C47C22×#4111yescharacteristic
768C22×C47C22×#4111yescharacteristic
769C22×C47C22×#4111yescharacteristic
770C22×C47C22×#4111yescharacteristic
771C22×C47C22×#4111yescharacteristic
772C22×C47C22×#4111yescharacteristic
773C2×D47—232no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—22no—
785C2×D47—22no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47#52514yes—
794C2×D47#52914yescomplemented
795C4×C47—22no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47#52514yes—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47#52514yes—
821C2×#529—471no—
822C23×C42—471no—
823#2855—471no—
824#2854—471no—
825#2853—471no—
826#2853—471no—
827#2852—471no—
828#2852—471no—
829#2852—471no—
830#2852—471no—
831#2851—471no—
832#2851—471no—
833#2850—471no—
834#2850—471no—
835#2849—471no—
836#2849—471no—
837#2848—471no—
838#2847—471no—
839C4×C22⋊Q8—471no—
840C4×C22⋊Q8—471no—
841C4×#123—471no—
842C4×#123—471no—
843C4×#121—471no—
844C4×#121—471no—
845C4×#120—471no—
846C4×#120—471no—
847#2290—471no—
848#2290—471no—
849#2290—471no—
850#2290D4711yescharacteristic, complemented
851#2283—471no—
852C2×C47—24no—
853C2×C47—81no—
854C2×C47C2×#52511yescharacteristic
855C2×C47C2×#52511yescharacteristic
856C2×C47C2×#52511yescharacteristic
857C2×C47C2×#52911yescharacteristic
858C2×C47C2×#52911yescharacteristic
859C2×C47#344411yescharacteristic
860C2×C47#344411yescharacteristic
861D47—24no—
862D47—24no—
863D47—81no—
864C24×C4—471no—
865C24×C4—471no—
866C24×C4—471no—
867#529—948no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#125—471no—
871C2×#124—471no—
872C2×#123—471no—
873C2×#123—471no—
874C2×#123—471no—
875C2×#123—471no—
876C2×C22⋊Q8—471no—
877C2×C22⋊Q8—471no—
878C2×C22⋊Q8—471no—
879C2×#121—471no—
880C2×#121—471no—
881C2×#121—471no—
882C2×#120—471no—
883C2×#120—471no—
884C2×C4×Q8—471no—
885C2×C4×D4—471no—
886C2×C4×D4—471no—
887C2×C4×D4—471no—
888C2×C4×D4—471no—
889C2×C4×D4—471no—
890C2×C4×D4—471no—
891C2×C4×D4C2×D4711yescharacteristic
892C2×#117—471no—
893C2×#117C2×D4711yescharacteristic, complemented
894C22×C42—471no—
895C22×C42—471no—
896C22×C42—471no—
897C22×C42—471no—
898C22×C42—471no—
899C22×C42—471no—
900C22×C42—471no—
901C22×C42—471no—
902C22×C42—471no—
903C22×C42—471no—
904C22×C42—471no—
905C22×C42—948no—
906C22×C42C2×D4711yescharacteristic
907#391—471no—
908#391—471no—
909#390—471no—
910#390—471no—
911#389—471no—
912#389—471no—
913#389—471no—
914#389—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388C2×D4711yescharacteristic, complemented
930#388C2×D4711yescharacteristic, complemented
931#387—471no—
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—471no—
941#387—471no—
942#387—471no—
943#387—471no—
944#387—471no—
945#387C2×D4711yescharacteristic, complemented
946#387C2×D4711yescharacteristic, complemented
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386C2×D4711yescharacteristic
966#386C2×D4711yescharacteristic
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385C2×D4711yescharacteristic
986#385C2×D4711yescharacteristic
987#383—471no—
988#383—471no—
989#382—471no—
990#382—471no—
991#381—471no—
992#381—471no—
993#381—471no—
994#381—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998#380—471no—
999#380—471no—
1000#380—471no—
1001#379—471no—
1002#379—471no—
1003C4×C4⋊C4—471no—
1004C4×C4⋊C4—471no—
1005C4×C4⋊C4—471no—
1006C4×C4⋊C4—471no—
1007C4×C4⋊C4—471no—
1008C4×C4⋊C4C2×D4711yescharacteristic, complemented
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4C2×D4711yescharacteristic
1018C4×C22⋊C4C2×D4711yescharacteristic, complemented
1019#376—471no—
1020#376C2×D4711yescharacteristic, complemented
1021C47#3662111yescharacteristic, complemented, Sylow
1022C25—471no—
1023C22×Q8—471no—
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4C22×D4711yescharacteristic
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—944no—
1048C23×C4—944no—
1049C23×C4—944no—
1050C23×C4—944no—
1051C23×C4—944no—
1052C23×C4—944no—
1053C23×C4—944no—
1054C23×C4—944no—
1055C23×C4—944no—
1056C23×C4C22×D4711yescharacteristic
1057C23×C4C22×D4711yescharacteristic
1058C23×C4C22×D4711yescharacteristic
1059C23×C4C22×D4711yescharacteristic
1060#126—944no—
1061#126—944no—
1062#125—944no—
1063#124—944no—
1064#123—944no—
1065#123—944no—
1066#123—944no—
1067#123—944no—
1068C22⋊Q8—944no—
1069C22⋊Q8—944no—
1070C22⋊Q8—944no—
1071#121—944no—
1072#121—944no—
1073#121—944no—
1074#120—944no—
1075#120—944no—
1076C4×Q8—944no—
1077C4×D4—24no—
1078C4×D4—944no—
1079C4×D4—944no—
1080C4×D4—944no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—944no—
1084#117—24no—
1085#117—944no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4C22×D4711yescharacteristic
1108C2×C4⋊C4C22×D4711yescharacteristic
1109C2×C4⋊C4C22×D4711yescharacteristic
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C42—24no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—478no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42—471no—
1167C2×C42—944no—
1168C2×C42—944no—
1169C2×C42—944no—
1170C2×C42—944no—
1171C2×C42—944no—
1172C2×C42—944no—
1173C2×C42—944no—
1174C2×C42—944no—
1175C2×C42—944no—
1176C2×C42—944no—
1177C2×C42C22×D4711yescharacteristic
1178C2×C42C22×D4711yescharacteristic
1179C2×C42C22×D4711yescharacteristic
1180C2×C42C22×D4711yescharacteristic
1181C2×C42C22×D4711yescharacteristic
1182C2×C42C22×D4711yescharacteristic
1183C2×C42C22×D4711yescharacteristic
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223#95C22×D4711yescharacteristic
1224C24—471no—
1225C24—471no—
1226C24—474no—
1227C24—471no—
1228C24—942no—
1229C24—942no—
1230C24—942no—
1231C24—942no—
1232C24—942no—
1233C24—942no—
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236C2×Q8—942no—
1237C2×Q8—942no—
1238C2×Q8—942no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—471no—
1272C22×C4—474no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—474no—
1279C22×C4—474no—
1280C22×C4—474no—
1281C22×C4—474no—
1282C22×C4—474no—
1283C22×C4—474no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—9432no—
1312C22×C4—9432no—
1313C22×C4—9432no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
1318C22×C4—942no—
1319C22×C4—942no—
1320C22×C4—942no—
1321C22×C4—942no—
1322C22×C4—942no—
1323C22×C4—942no—
1324C22×C4—942no—
1325C22×C4—942no—
1326C22×C4—942no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4#1062535014yes—
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C22×C4C23×D4711yescharacteristic
1345C22×C4C23×D4711yescharacteristic
1346C22×C4C23×D4711yescharacteristic
1347C22×C4C23×D4711yescharacteristic
1348C22×C4C23×D4711yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—942no—
1366C4⋊C4—942no—
1367C4⋊C4—942no—
1368C4⋊C4—942no—
1369C4⋊C4—942no—
1370C4⋊C4—942no—
1371C4⋊C4—942no—
1372C4⋊C4—942no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—474no—
1420C42—474no—
1421C42—474no—
1422C42—942no—
1423C42—942no—
1424C42—942no—
1425C42—942no—
1426C42—942no—
1427C42—942no—
1428C42—942no—
1429C42—942no—
1430C42—942no—
1431C42—942no—
1432C42—942no—
1433C42—942no—
1434C42D4×D4714yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—472no—
1447C23—472no—
1448C23—472no—
1449C23—472no—
1450C23—472no—
1451C23—472no—
1452C23—948no—
1453C23—948no—
1454C23—948no—
1455C23—948no—
1456C23—948no—
1457C23—948no—
1458C23—948no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23#41×D4712yes—
1475C23#41×D4712yes—
1476C23C2×#1062535012yes—
1477C23C24×D4711yescharacteristic
1478Q8—1884no—
1479D4—44no—
1480D4—1884no—
1481D4—1884no—
1482D4—1884no—
1483D4—1884no—
1484D4—1884no—
1485D4—1884no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—28no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—44no—
1521C2×C4—472no—
1522C2×C4—472no—
1523C2×C4—472no—
1524C2×C4—472no—
1525C2×C4—472no—
1526C2×C4—472no—
1527C2×C4—472no—
1528C2×C4—472no—
1529C2×C4—948no—
1530C2×C4—948no—
1531C2×C4—948no—
1532C2×C4—948no—
1533C2×C4—948no—
1534C2×C4—948no—
1535C2×C4—948no—
1536C2×C4—948no—
1537C2×C4—948no—
1538C2×C4—948no—
1539C2×C4—948no—
1540C2×C4—948no—
1541C2×C4—948no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—948no—
1553C2×C4—948no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—1884no—
1576C2×C4C2×D4×D4712yes—
1577C2×C4C2×D4×D4712yes—
1578C2×C4C2×D4×D4712yes—
1579C2×C4#41×D4712yes—
1580C2×C4#41×D4712yes—
1581C2×C4#41×D4712yes—
1582C2×C4C2×#1062535012yes—
1583C2×C4C2×#1062535012yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—474no—
1598C22—474no—
1599C22—9432no—
1600C22—942no—
1601C22—942no—
1602C22—942no—
1603C22—942no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22#1568965114yescomplemented
1620C22C22×D4×D4711yescharacteristic
1621C22C2×#41×D4711yescharacteristic
1622C22C2×#41×D4711yescharacteristic
1623C22C2×#41×D4711yescharacteristic
1624C22C2×#41×D4711yescharacteristic
1625C22C2×#41×D4711yescharacteristic
1626C22C22×#1062535011yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—474no—
1640C4—942no—
1641C4—942no—
1642C4—942no—
1643C4—942no—
1644C4—942no—
1645C4—1881no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4#1568963214yes—
1653C2—24no—
1654C2—81no—
1655C2—944no—
1656C2—944no—
1657C2—3761no—
1658C2#525×D4711yescharacteristic
1659C2#525×D4711yescharacteristic
1660C2C2×#1568963211yescharacteristic
1661C2#529×D4711yescharacteristic
1662C2C2×#1568965111yescharacteristic
1663C2#2025668111yescharacteristic
1664C2#2025668211yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2290C2
prime radical#20251669C2
hypercenter#2290D47
hypocenterC47#36621
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#15689651C2semidirect
2. C22×C42×D47C2semidirect
3. #20251723C2semidirect
4. #20251715C2semidirect
5. #20251712C2semidirect
6. #20251708C2semidirect
7. #20251706C2semidirect
8. #20251705C2semidirect
9. #20251702C2semidirect
10. #20251701C2semidirect
11. #20251695C2semidirect
12. #20251694C2semidirect
13. #20251686C2semidirect
14. #20251685C2semidirect
15. #20251683C2semidirect
16. #20251679C2semidirect
17. #20251674C2semidirect
19. C4×#13094002C2semidirect
20. C4×#13094001C2semidirect
21. C4×#13094009C2semidirect
22. C4×#13094006C2semidirect
23. C4×#13093997C2semidirect
24. C4×#13093996C2semidirect
25. C4×#13093994C2semidirect
26. C4×#13093992C2semidirect
27. #20245832C2semidirect
28. #20245831C2semidirect
29. #20245825C2semidirect
30. #20245780C2semidirect
31. C47×#2290C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094014C22semidirect
39. C2×#13094010C22semidirect
52. C2×C4×Dic94C22semidirect
58. C2×C4×C22⋊D47C22semidirect
59. C2×#13093981C22semidirect
72. #15689027C22semidirect
73. #15689027C22semidirect
74. #15689023C22semidirect
75. #15689023C22semidirect
76. #15689020C22semidirect
77. #15689020C22semidirect
78. #15689018C22semidirect
79. #15689018C22semidirect
80. #15689017C22semidirect
81. #15689017C22semidirect
82. #15689016C22semidirect
83. #15689016C22semidirect
84. #15689015C22semidirect
85. #15689015C22semidirect
86. #15689014C22semidirect
87. #15689014C22semidirect
88. #15689013C22semidirect
89. #15689013C22semidirect
90. #15689012C22semidirect
91. #15689012C22semidirect
92. #15689011C22semidirect
93. #15689011C22semidirect
94. #15689010C22semidirect
95. #15689010C22semidirect
96. #15689009C22semidirect
97. #15689009C22semidirect
98. #15689008C22semidirect
99. #15689008C22semidirect
100. #15689007C22semidirect
101. #15689007C22semidirect
102. #15689006C22semidirect
103. #15689006C22semidirect
104. #15689005C22semidirect
105. #15689005C22semidirect
106. #15689004C22semidirect
107. #15689004C22semidirect
144. #15688990C22semidirect
145. #15688990C22semidirect
146. #15688987C22semidirect
147. #15688987C22semidirect
160. C4×Dic47⋊C4C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. C4×Dic47⋊C4C22semidirect
163. C4×Dic47⋊C4C22semidirect
164. C4×C4⋊Dic47C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
172. C4×C22⋊Dic47C22semidirect
173. #15688969C22semidirect
175. C2×#117×C47C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C47×#376C22semidirect
322. C42×D47D4semidirect
765. C22×C47#529semidirect
794. C2×D47#529semidirect
850. #2290D47semidirect
893. C2×#117C2×D47semidirect
929. #388C2×D47semidirect
930. #388C2×D47semidirect
945. #387C2×D47semidirect
946. #387C2×D47semidirect
1008. C4×C4⋊C4C2×D47semidirect
1018. C4×C22⋊C4C2×D47semidirect
1020. #376C2×D47semidirect
1021. C47#36621semidirect
1619. C22#15689651semidirect

Maximal subgroups

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

subgroupindex
C2×#156896512
C22×C42×D472
#202517232
#202517152
#202517122
#202517082
#202517062
#202517052
#202517022
#202517012
#202516952
#202516942
#202516862
#202516852
#202516832
#202516792
#202516742
#202516692
C4×#130940022
C4×#130940012
C4×#130940092
C4×#130940062
C4×#130939972
C4×#130939962
C4×#130939942
C4×#130939922
#202458322
#202458312
#202458252
#202457802
C47×#22902
#3662147