Finite Group Databasebeta

← #26422195

Subgroups — #26422195

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×#15689656C211yesmaximal, characteristic, complemented
2C22×C42×D47C211yesmaximal, characteristic, complemented
3#20251723C211yesmaximal, characteristic, complemented
4#20251715C211yesmaximal, characteristic, complemented
5#20251712C211yesmaximal, characteristic, complemented
6#20251708C211yesmaximal, characteristic, complemented
7#20251704C211yesmaximal, characteristic, complemented
8#20251703C211yesmaximal, characteristic, complemented
9#20251700C211yesmaximal, characteristic, complemented
10#20251695C211yesmaximal, characteristic, complemented
11#20251694C211yesmaximal, characteristic, complemented
12#20251686C211yesmaximal, characteristic, complemented
13#20251685C211yesmaximal, characteristic, complemented
14#20251683C211yesmaximal, characteristic, complemented
15#20251679C211yesmaximal, characteristic, complemented
16#20251674C211yesmaximal, characteristic, complemented
17#20251669C211yesmaximal, characteristic
18#20245922C211yesmaximal, characteristic, complemented
19#20245920C211yesmaximal, characteristic, complemented
20#20245915C211yesmaximal, characteristic, complemented
21#20245909C211yesmaximal, characteristic, complemented
22#20245900C211yesmaximal, characteristic, complemented
23#20245898C211yesmaximal, characteristic, complemented
24#20245893C211yesmaximal, characteristic, complemented
25#20245889C211yesmaximal, characteristic, complemented
26#20245830C211yesmaximal, characteristic, complemented
27#20245828C211yesmaximal, characteristic, complemented
28#20245826C211yesmaximal, characteristic, complemented
29#20245824C211yesmaximal, characteristic, complemented
30#20245785C211yesmaximal, characteristic, complemented
31C47×#2852C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689656—28no—
36C2×#13094018C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094009C2211yescharacteristic
40C2×#13094009C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094002C2211yescharacteristic
44C2×#13094002C2211yescharacteristic
45C2×#13094001C2211yescharacteristic
46C2×#13093997C2211yescharacteristic
47C2×#13093997C2211yescharacteristic
48C2×#13093996C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×#13093989C2211yescharacteristic, complemented
52C2×D4×Dic47C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×#13093986C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
59C2×#13093982C2211yescharacteristic, complemented
60C2×#13093980C2211yescharacteristic, complemented
61C22×C4×Dic47C2211yescharacteristic
62C22×C4×Dic47C2211yescharacteristic
63C22×C4×Dic47C2211yescharacteristic
64C2×C42×D47—28no—
65C2×C42×D47C2211yescharacteristic
66C2×C42×D47C2211yescharacteristic
67C2×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689027C2211yescharacteristic, complemented
74#15689027C2211yescharacteristic, complemented
75#15689023C2211yescharacteristic, complemented
76#15689023C2211yescharacteristic, complemented
77#15689020C2211yescharacteristic, complemented
78#15689020C2211yescharacteristic, complemented
79#15689018C2211yescharacteristic, complemented
80#15689018C2211yescharacteristic, complemented
81#15689017C2211yescharacteristic, complemented
82#15689016C2211yescharacteristic, complemented
83#15689015C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689015C2211yescharacteristic, complemented
86#15689014C2211yescharacteristic, complemented
87#15689014C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic, complemented
90#15689012C2211yescharacteristic, complemented
91#15689011C2211yescharacteristic, complemented
92#15689011C2211yescharacteristic, complemented
93#15689011C2211yescharacteristic, complemented
94#15689010C2211yescharacteristic, complemented
95#15689009C2211yescharacteristic, complemented
96#15689008C2211yescharacteristic, complemented
97#15689008C2211yescharacteristic, complemented
98#15689008C2211yescharacteristic, complemented
99#15689007C2211yescharacteristic, complemented
100#15689007C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689006C2211yescharacteristic, complemented
103#15689005C2211yescharacteristic, complemented
104#15689004C2211yescharacteristic, complemented
105#15689004C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689003C2211yescharacteristic
108#15689002C2211yescharacteristic
109#15689002C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689000C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688995C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688991C2211yescharacteristic, complemented
142#15688987C2211yescharacteristic, complemented
143#15688987C2211yescharacteristic, complemented
144#15688985C2211yescharacteristic
145#15688985C2211yescharacteristic
146#15688985C2211yescharacteristic
147#15688985C2211yescharacteristic
148#15688982C2211yescharacteristic
149#15688982C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688982C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688978C2211yescharacteristic
155#15688978C2211yescharacteristic
156C4⋊C4×Dic47C2211yescharacteristic, complemented
157C4⋊C4×Dic47C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161#15688974C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#15688968C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic, complemented
175C22×C42×C47C2211yescharacteristic
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#385C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#383C2211yescharacteristic, 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
200C23×Dic47C2311yescharacteristic
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×D47—24no—
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
222C22×C4×D47C2311yescharacteristic
223#13094018—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—
238#13093989—24no—
239D4×Dic47—24no—
240#13093986—24no—
241#13093986—24no—
242(C22⋊D47)⋊C4—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246#13093982—24no—
247#13093980—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
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
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C42×D47—24no—
319C42×D47—24no—
320C42×D47—24no—
321C42×D47—24no—
322C42×D47—24no—
323C42×D47—24no—
324C42×D47—24no—
325C42×D47D418yescomplemented
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
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358#126×C47—24no—
359C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47C2311yescharacteristic
374C2×C42×C47—24no—
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×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×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
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
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
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—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47#4114yes—
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—
521C4⋊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—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47C2×D414yes—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—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—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—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—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—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—28no—
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×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—21no—
681C2×C4×C47—21no—
682C2×C4×C47C22×D412yes—
683C2×C4×C47C22×D412yes—
684C2×C4×C47C22×D412yes—
685C2×C4×C47C2×#4112yes—
686C2×C4×C47C2×#4112yes—
687C2×C4×C47C2×#4112yes—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C2×Dic47—28no—
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—28no—
702C2×Dic47—28no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
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—44no—
725C2×Dic47C22×D412yes—
726C2×Dic47C22×D412yes—
727C2×Dic47C22×D412yes—
728C2×Dic47C2×#4112yes—
729C2×Dic47C2×#4112yes—
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—22no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47#52514yes—
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#2852D4711yescharacteristic, complemented
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#2290—471no—
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×#126C2×D4711yescharacteristic, complemented
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×D4—471no—
892C2×#117—471no—
893C2×#117—471no—
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#388C2×D4711yescharacteristic, complemented
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#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
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#385C2×D4711yescharacteristic
985#385C2×D4711yescharacteristic
986#385C2×D4711yescharacteristic
987#383—471no—
988#383C2×D4711yescharacteristic, complemented
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⋊C4—471no—
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⋊C4—471no—
1018C4×C22⋊C4—471no—
1019#376—471no—
1020#376—471no—
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—471no—
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×C4—944no—
1057C23×C4C22×D4711yescharacteristic
1058C23×C4C22×D4711yescharacteristic
1059C23×C4C22×D4711yescharacteristic
1060#126—24no—
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—944no—
1078C4×D4—944no—
1079C4×D4—944no—
1080C4×D4—944no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—944no—
1084#117—944no—
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⋊C4C22×D4711yescharacteristic
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⋊C4C22×D4711yescharacteristic
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—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42—944no—
1171C2×C42—944no—
1172C2×C42—944no—
1173C2×C42—944no—
1174C2×C42—944no—
1175C2×C42—944no—
1176C2×C42—944no—
1177C2×C42—944no—
1178C2×C42—944no—
1179C2×C42—944no—
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#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
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—471no—
1270C22×C4—471no—
1271C22×C4—474no—
1272C22×C4—474no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—474no—
1278C22×C4—474no—
1279C22×C4—474no—
1280C22×C4—474no—
1281C22×C4—474no—
1282C22×C4—474no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—942no—
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—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—9432no—
1318C22×C4—9432no—
1319C22×C4—9432no—
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—942no—
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—22no—
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—22no—
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—474no—
1417C42—474no—
1418C42—474no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
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—
1476C23#41×D4712yes—
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—28no—
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—21no—
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—21no—
1521C2×C4—21no—
1522C2×C4—472no—
1523C2×C4—472no—
1524C2×C4—472no—
1525C2×C4—472no—
1526C2×C4—472no—
1527C2×C4—472no—
1528C2×C4—472no—
1529C2×C4—472no—
1530C2×C4—472no—
1531C2×C4—472no—
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—948no—
1543C2×C4—948no—
1544C2×C4—948no—
1545C2×C4—948no—
1546C2×C4—948no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
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—941no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4C2×D4×D4712yes—
1579C2×C4C2×D4×D4712yes—
1580C2×C4C2×D4×D4712yes—
1581C2×C4#41×D4712yes—
1582C2×C4#41×D4712yes—
1583C2×C4#41×D4712yes—
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#1568965614yescomplemented
1620C22C22×D4×D4711yescharacteristic
1621C22C2×#41×D4711yescharacteristic
1622C22C2×#41×D4711yescharacteristic
1623C22C2×#41×D4711yescharacteristic
1624C22C2×#41×D4711yescharacteristic
1625C22C2×#41×D4711yescharacteristic
1626C22C2×#41×D4711yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—474no—
1641C4—474no—
1642C4—942no—
1643C4—942no—
1644C4—942no—
1645C4—942no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C2—24no—
1654C2—81no—
1655C2—944no—
1656C2—944no—
1657C2—3761no—
1658C2#525×D4711yescharacteristic
1659C2#525×D4711yescharacteristic
1660C2#525×D4711yescharacteristic
1661C2#529×D4711yescharacteristic
1662C2C2×#1568965611yescharacteristic
1663C2#2025668211yescharacteristic
1664C2#2025668211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2852C2
prime radical#20251669C2
hypercenter#2852D47
hypocenterC47#36621
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. C2×#15689656C2semidirect
2. C22×C42×D47C2semidirect
3. #20251723C2semidirect
4. #20251715C2semidirect
5. #20251712C2semidirect
6. #20251708C2semidirect
7. #20251704C2semidirect
8. #20251703C2semidirect
9. #20251700C2semidirect
10. #20251695C2semidirect
11. #20251694C2semidirect
12. #20251686C2semidirect
13. #20251685C2semidirect
14. #20251683C2semidirect
15. #20251679C2semidirect
16. #20251674C2semidirect
18. #20245922C2semidirect
19. #20245920C2semidirect
20. #20245915C2semidirect
21. #20245909C2semidirect
22. #20245900C2semidirect
23. #20245898C2semidirect
24. #20245893C2semidirect
25. #20245889C2semidirect
26. #20245830C2semidirect
27. #20245828C2semidirect
28. #20245826C2semidirect
29. #20245824C2semidirect
30. #20245785C2semidirect
31. C47×#2852C2semidirect
36. C2×#13094018C22semidirect
37. C2×#13094014C22semidirect
38. C2×#13094010C22semidirect
51. C2×#13093989C22semidirect
58. C2×(C22⋊D47)⋊C4C22semidirect
59. C2×#13093982C22semidirect
60. C2×#13093980C22semidirect
73. #15689027C22semidirect
74. #15689027C22semidirect
75. #15689023C22semidirect
76. #15689023C22semidirect
77. #15689020C22semidirect
78. #15689020C22semidirect
79. #15689018C22semidirect
80. #15689018C22semidirect
81. #15689017C22semidirect
82. #15689016C22semidirect
83. #15689015C22semidirect
84. #15689015C22semidirect
85. #15689015C22semidirect
86. #15689014C22semidirect
87. #15689014C22semidirect
88. #15689014C22semidirect
89. #15689013C22semidirect
90. #15689012C22semidirect
91. #15689011C22semidirect
92. #15689011C22semidirect
93. #15689011C22semidirect
94. #15689010C22semidirect
95. #15689009C22semidirect
96. #15689008C22semidirect
97. #15689008C22semidirect
98. #15689008C22semidirect
99. #15689007C22semidirect
100. #15689007C22semidirect
101. #15689007C22semidirect
102. #15689006C22semidirect
103. #15689005C22semidirect
104. #15689004C22semidirect
105. #15689004C22semidirect
106. #15689004C22semidirect
141. #15688991C22semidirect
142. #15688987C22semidirect
143. #15688987C22semidirect
156. C4⋊C4×Dic47C22semidirect
157. C4⋊C4×Dic47C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
160. #15688974C22semidirect
161. #15688974C22semidirect
164. C22⋊C4×Dic47C22semidirect
165. C22⋊C4×Dic47C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #15688968C22semidirect
173. #15688968C22semidirect
174. C2×#126×C47C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
188. C47×#383C22semidirect
325. C42×D47D4semidirect
765. C22×C47#529semidirect
794. C2×D47#529semidirect
830. #2852D47semidirect
869. C2×#126C2×D47semidirect
928. #388C2×D47semidirect
929. #388C2×D47semidirect
930. #388C2×D47semidirect
944. #387C2×D47semidirect
945. #387C2×D47semidirect
946. #387C2×D47semidirect
988. #383C2×D47semidirect
1021. C47#36621semidirect
1619. C22#15689656semidirect

Maximal subgroups

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

subgroupindex
C2×#156896562
C22×C42×D472
#202517232
#202517152
#202517122
#202517082
#202517042
#202517032
#202517002
#202516952
#202516942
#202516862
#202516852
#202516832
#202516792
#202516742
#202516692
#202459222
#202459202
#202459152
#202459092
#202459002
#202458982
#202458932
#202458892
#202458302
#202458282
#202458262
#202458242
#202457852
C47×#28522
#3662147