Finite Group Databasebeta

← #26384960

Subgroups — #26384960

Order 12032.

2938 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689636C211yesmaximal, characteristic, complemented
2C2×#15689591C211yesmaximal, characteristic, complemented
3#20247574C211yesmaximal, characteristic, complemented
4#20247493C211yesmaximal, characteristic, complemented
5#20247486C211yesmaximal, characteristic, complemented
6#20247405C211yesmaximal, characteristic, complemented
7#20247398C211yesmaximal, characteristic, complemented
8#20247308C211yesmaximal, characteristic, complemented
9#20247301C211yesmaximal, characteristic, complemented
10#20247205C211yesmaximal, characteristic, complemented
11#20247139C211yesmaximal, characteristic, complemented
12#20247061C211yesmaximal, characteristic, complemented
13#20246997C211yesmaximal, characteristic, complemented
14#20246925C211yesmaximal, characteristic, complemented
15#20246851C211yesmaximal, characteristic, complemented
16#20246772C211yesmaximal, characteristic, complemented
17#20246705C211yesmaximal, characteristic, complemented
18#20246673C211yesmaximal, characteristic, complemented
19#20246661C211yesmaximal, characteristic, complemented
20#20246627C211yesmaximal, characteristic, complemented
21#20246605C211yesmaximal, characteristic, complemented
22#20245915C211yesmaximal, characteristic, complemented
23#20245909C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26#20245893C211yesmaximal, characteristic, complemented
27#20245877C211yesmaximal, characteristic, complemented
28#20245826C211yesmaximal, characteristic, complemented
29#20245824C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2477C211yesmaximal, characteristic, complemented
32C22×#10625354C2211yescharacteristic
33C22×#10625350C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689636—28no—
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094006C2211yescharacteristic
40C2×#13094000C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48#15689591—28no—
49C2×#13093989C2211yescharacteristic, complemented
50C2×#13093989C2211yescharacteristic, complemented
51C2×D4×Dic47C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×#13093986C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
63C2×#13093982C2211yescharacteristic
64C2×#13093982C2211yescharacteristic, complemented
65C2×#13093981C2211yescharacteristic
66C2×#13093981C2211yescharacteristic, complemented
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C22×C4×Dic47C2211yescharacteristic, complemented
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic
76#15689057C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689053C2211yescharacteristic, complemented
79#15689050C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689047C2211yescharacteristic
82#15689047C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689046C2211yescharacteristic, complemented
85#15689043C2211yescharacteristic, complemented
86#15689042C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic
88#15689041C2211yescharacteristic
89#15689041C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic
95#15689036C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic, complemented
100#15689031C2211yescharacteristic
101#15689030C2211yescharacteristic, complemented
102#15689025C2211yescharacteristic
103#15689024C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic, complemented
106#15689020C2211yescharacteristic, complemented
107#15689018C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic
115#15689012C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic
117#15689011C2211yescharacteristic
118#15689010C2211yescharacteristic, complemented
119#15689009C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689002C2211yescharacteristic
125#15689002C2211yescharacteristic, complemented
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689000C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688998C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688996C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic, complemented
147#15688985C2211yescharacteristic
148#15688985C2211yescharacteristic, complemented
149#15688982C2211yescharacteristic
150#15688981C2211yescharacteristic, complemented
151#15688978C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153#15688974C2211yescharacteristic, complemented
154#15688974C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×C22⋊Dic47C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688968C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×#117×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#387C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625354—24no—
191C2×#10625354—24no—
192C2×#10625354—42no—
193C2×#10625350—24no—
194C2×#10625350—24no—
195C2×#10625350—24no—
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C22×C4×D47—24no—
212C22×C4×D47—24no—
213C22×C4×D47—42no—
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
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226#13094009—24no—
227#13094009—24no—
228#13094009—24no—
229#13094006—24no—
230#13094000—24no—
231#13093999—24no—
232#13093998—24no—
233#13093997—24no—
234#13093996—24no—
235#13093994—24no—
236#13093994—24no—
237#13093992—24no—
238#13093989—24no—
239#13093989—24no—
240D4×Dic47—42no—
241#13093986—24no—
242#13093986—24no—
243#13093986D418yescomplemented
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248(C22⋊D47)⋊C4—24no—
249(C22⋊D47)⋊C4—24no—
250(C22⋊D47)⋊C4—24no—
251(C22⋊D47)⋊C4—42no—
252#13093982—24no—
253#13093982—42no—
254#13093981—24no—
255#13093981—24no—
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C22⋊C4×D47—24no—
311C22⋊C4×D47—24no—
312C2×C4×Dic47—24no—
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C42×D47—24no—
328C42×D47—24no—
329C42×D47—42no—
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×Q8×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C22⋊Q8×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×C4⋊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×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×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—41no—
399C23×D47—41no—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×Q8×C47—22no—
405C2×Q8×C47—22no—
406C2×Q8×C47—41no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—41no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—41no—
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
428C22×C4×C47C2411yescharacteristic
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—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47#4114yescomplemented
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—41no—
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468#10625354—416no—
469#10625350—232no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—22no—
473C2×D188—22no—
474C2×D188—22no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—22no—
479C2×D188—22no—
480C2×D188—22no—
481C2×D188—41no—
482C2×D188—41no—
483C2×D188—41no—
484C2×D188C2×D414yes—
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×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—416no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47C2×D414yes—
519C2×C4×D47C2×D414yes—
520C2×C4×D47#4114yescomplemented
521C2×C4×D47#4114yescomplemented
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—41no—
530C4⋊C4×C47C2×D414yes—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—41no—
541C42×C47—22no—
542C42×C47—22no—
543C42×C47—41no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47#4114yescomplemented
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—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4C2×D414yes—
579(C2×D47)⋊C4C2×D414yes—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—41no—
583C4⋊Dic47—41no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—22no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47C2×#4112yes—
625C23×C47C2×#4112yes—
626C23×C47C2511yescharacteristic
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
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×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47C22×D412yes—
658C22×D47C22×D412yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661C22×D47C2×#4112yes—
662Q8×C47—44no—
663D4×C47—44no—
664C2×C4×C47—28no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—44no—
700C2×C4×C47C22×D412yes—
701C2×C4×C47C22×D412yes—
702C2×C4×C47C22×D412yes—
703C2×C4×C47C2×#4112yes—
704C2×C4×C47C2×#4112yes—
705C22⋊D47—28no—
706C22⋊D47—28no—
707C22⋊D47—44no—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
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×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—44no—
740C2×Dic47—44no—
741C2×Dic47—44no—
742C2×Dic47C22×D412yes—
743C2×Dic47C22×D412yes—
744C2×Dic47C2×#4112yes—
745C2×Dic47C2×#4112yes—
746C2×Dic47C2×#4112yes—
747C2×Dic47C2×#4112yes—
748C2×Dic47C2×#4112yes—
749C2×Dic47H(5,𝔽2)12yes—
750D188—28no—
751D188—44no—
752D188—44no—
753D188—44no—
754D188—44no—
755C4×D47—28no—
756C4×D47—28no—
757C4×D47—28no—
758C4×D47—28no—
759C4×D47—28no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767Dic94—28no—
768#34732—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47C23×D411yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C22×#4111yescharacteristic
786C22×C47C22×#4111yescharacteristic
787C22×C47C22×#4111yescharacteristic
788C22×C47C2×H(5,𝔽2)11yescharacteristic
789C22×C47#58511yescharacteristic
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—22no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—22no—
798C2×D47—22no—
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—416no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47#52514yes—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—22no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47#54614yes—
844C2×#525—471no—
845C2×C4×#41—471no—
846#2477D4711yescharacteristic, complemented
847#2476—471no—
848#2471—471no—
849#2470—471no—
850#2465—471no—
851#2464—471no—
852#2458—471no—
853#2457—471no—
854#2450—471no—
855#2444—471no—
856#2438—471no—
857#2430—471no—
858#2424—471no—
859#2418—471no—
860#2411—471no—
861#2404—471no—
862#2398—471no—
863#2396—471no—
864#2392—471no—
865#2388—471no—
866C4×#123—471no—
867C4×#123—471no—
868C4×#121—471no—
869C4×#121—471no—
870C4×#120—471no—
871#2297—471no—
872#2290—471no—
873#2290—471no—
874C2×C4×C22⋊C4—471no—
875C2×C47—42no—
876C2×C47—42no—
877C2×C47C2×#52511yescharacteristic
878C2×C47#344411yescharacteristic
879C2×C47#346011yescharacteristic
880C2×C47C2×#54611yescharacteristic
881C2×C47D4×#4111yescharacteristic
882C2×C47#347511yescharacteristic
883C2×C47#348111yescharacteristic
884D47—24no—
885D47—42no—
886D47—42no—
887D47—81no—
888C22×#41—471no—
889C22×#41—471no—
890C24×C4—471no—
891#525—948no—
892C2×#123—471no—
893C2×#123—471no—
894C2×#123—471no—
895C2×#123—471no—
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8C2×D4711yescharacteristic
898C2×#121—471no—
899C2×#121—471no—
900C2×#121—471no—
901C2×#121—471no—
902C2×#120—471no—
903C2×#120—471no—
904C2×#120—471no—
905C4×#41—948no—
906C2×C4×Q8—471no—
907C2×C4×Q8—471no—
908C2×C4×D4—471no—
909C2×C4×D4—471no—
910C2×C4×D4—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×#117—471no—
921C2×#117—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117C2×D4711yescharacteristic, complemented
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930C22×C42—471no—
931#400—471no—
932#400—471no—
933#400C2×D4711yescharacteristic, complemented
934#399—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397C2×D4711yescharacteristic
941#396—471no—
942#396—471no—
943#396—471no—
944#396—471no—
945#395—471no—
946#395—471no—
947#394—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394C2×D4711yescharacteristic
955#393—471no—
956#393—471no—
957#393—471no—
958#393C2×D4711yescharacteristic, complemented
959#392—471no—
960#392—471no—
961#392—471no—
962#392—471no—
963#391—471no—
964#391C2×D4711yescharacteristic, complemented
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#389—471no—
970#389—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388C2×D4711yescharacteristic
982#388C2×D4711yescharacteristic, complemented
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387C2×D4711yescharacteristic, complemented
990#387C2×D4711yescharacteristic, complemented
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386C2×D4711yescharacteristic
1007#386C2×D4711yescharacteristic
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385C2×D4711yescharacteristic, complemented
1017#381—471no—
1018#381—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022C4×C4⋊C4—471no—
1023C4×C4⋊C4—471no—
1024C4×C4⋊C4—471no—
1025C4×C4⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4—471no—
1039C4×C22⋊C4—471no—
1040C4×C22⋊C4—471no—
1041C4×C22⋊C4C2×D4711yescharacteristic
1042#376—471no—
1043C2×#95—471no—
1044C2×#95—471no—
1045C47#3473211yescharacteristic, complemented, Sylow
1046C25—471no—
1047C2×#41—944no—
1048C2×#41—944no—
1049C2×#41—944no—
1050C2×#41—944no—
1051C2×#41—944no—
1052C2×#41—1882no—
1053C22×Q8—471no—
1054C22×Q8C22×D4711yescharacteristic
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—471no—
1066C22×D4C22×D4711yescharacteristic
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—471no—
1082C23×C4—944no—
1083C23×C4—944no—
1084C23×C4—1882no—
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—944no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091C22⋊Q8—24no—
1092C22⋊Q8—944no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×Q8—944no—
1102C4×D4—478no—
1103C4×D4—944no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—1882no—
1113C4×D4—1882no—
1114#117—24no—
1115#117—944no—
1116#117—944no—
1117#117—944no—
1118#117—1882no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C4⋊C4C22×D4711yescharacteristic
1142C2×C4⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—944no—
1180C2×C22⋊C4—944no—
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C22⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C42—471no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—944no—
1206C2×C42—944no—
1207C2×C42—944no—
1208C2×C42—1882no—
1209C2×C42C22×D4711yescharacteristic
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248C24—471no—
1249C24—471no—
1250C24—471no—
1251C24—471no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—942no—
1257C24—1881no—
1258C24—1881no—
1259C24C23×D4711yescharacteristic
1260C24C23×D4711yescharacteristic
1261#41—9432no—
1262#41—18816no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—41no—
1266C2×Q8—942no—
1267C2×Q8—942no—
1268C2×Q8—942no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—474no—
1273C2×D4—474no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4—1881no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—474no—
1318C22×C4—474no—
1319C22×C4—474no—
1320C22×C4—474no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
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×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—18816no—
1368C22×C4—1881no—
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—942no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—1881no—
1401C4⋊C4—1881no—
1402C4⋊C4—1881no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4D4×D4714yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—474no—
1417C22⋊C4—474no—
1418C22⋊C4—474no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C42—22no—
1453C42—22no—
1454C42—41no—
1455C42—474no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—942no—
1462C42—942no—
1463C42—942no—
1464C42—942no—
1465C42—942no—
1466C42—942no—
1467C42—942no—
1468C42—1881no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—472no—
1482C23—472no—
1483C23—472no—
1484C23—472no—
1485C23—472no—
1486C23—948no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—1884no—
1511C23—1884no—
1512C23—1884no—
1513C23—1884no—
1514C23—1884no—
1515C23—1884no—
1516C23#41×D4712yes—
1517C23#41×D4712yes—
1518C23C24×D4711yescharacteristic
1519Q8—44no—
1520Q8—948no—
1521D4—44no—
1522D4—948no—
1523D4—948no—
1524D4—948no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529D4—1884no—
1530D4—1884no—
1531D4—1884no—
1532D4—1884no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—44no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—472no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—948no—
1578C2×C4—948no—
1579C2×C4—948no—
1580C2×C4—948no—
1581C2×C4—948no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—1884no—
1611C2×C4—1884no—
1612C2×C4—1884no—
1613C2×C4—1884no—
1614C2×C4—1884no—
1615C2×C4—1884no—
1616C2×C4—1884no—
1617C2×C4—1884no—
1618C2×C4—1884no—
1619C2×C4—1884no—
1620C2×C4C2×D4×D4712yes—
1621C2×C4C2×D4×D4712yes—
1622C2×C4C2×D4×D4712yes—
1623C2×C4#41×D4712yes—
1624C2×C4#41×D4712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—474no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—942no—
1645C22—942no—
1646C22—942no—
1647C22—942no—
1648C22—942no—
1649C22—942no—
1650C22—942no—
1651C22—942no—
1652C22—18816no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22—1881no—
1668C22C22×D4×D4711yescharacteristic
1669C22C2×#41×D4711yescharacteristic
1670C22C2×#41×D4711yescharacteristic
1671C22C2×#41×D4711yescharacteristic
1672C22C2×#41×D4711yescharacteristic
1673C22H(5,𝔽2)×D4711yescharacteristic
1674C22#1568996011yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—474no—
1689C4—942no—
1690C4—942no—
1691C4—942no—
1692C4—942no—
1693C4—942no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4—1881no—
1700C2—42no—
1701C2—42no—
1702C2—944no—
1703C2—3761no—
1704C2—1882no—
1705C2—1882no—
1706C2#525×D4711yescharacteristic
1707C2#2025668211yescharacteristic
1708C2#2025680811yescharacteristic
1709C2#546×D4711yescharacteristic
1710C2#2025687711yescharacteristic
1711C2#2025694111yescharacteristic
1712C2#2025699111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2477C2
hypercenter#2477D47
hypocenterC47#34732
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×#15689636C2semidirect
2. C2×#15689591C2semidirect
3. #20247574C2semidirect
4. #20247493C2semidirect
5. #20247486C2semidirect
6. #20247405C2semidirect
7. #20247398C2semidirect
8. #20247308C2semidirect
9. #20247301C2semidirect
10. #20247205C2semidirect
11. #20247139C2semidirect
12. #20247061C2semidirect
13. #20246997C2semidirect
14. #20246925C2semidirect
15. #20246851C2semidirect
16. #20246772C2semidirect
17. #20246705C2semidirect
18. #20246673C2semidirect
19. #20246661C2semidirect
20. #20246627C2semidirect
21. #20246605C2semidirect
22. #20245915C2semidirect
23. #20245909C2semidirect
24. #20245900C2semidirect
25. #20245898C2semidirect
26. #20245893C2semidirect
27. #20245877C2semidirect
28. #20245826C2semidirect
29. #20245824C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2477C2semidirect
49. C2×#13093989C22semidirect
50. C2×#13093989C22semidirect
60. C2×(C22⋊D47)⋊C4C22semidirect
61. C2×(C22⋊D47)⋊C4C22semidirect
62. C2×(C22⋊D47)⋊C4C22semidirect
64. C2×#13093982C22semidirect
66. C2×#13093981C22semidirect
69. C22×C4×Dic47C22semidirect
72. C2×C42×D47C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
76. #15689057C22semidirect
77. #15689057C22semidirect
78. #15689053C22semidirect
79. #15689050C22semidirect
80. #15689049C22semidirect
84. #15689046C22semidirect
85. #15689043C22semidirect
86. #15689042C22semidirect
89. #15689041C22semidirect
93. #15689038C22semidirect
95. #15689036C22semidirect
99. #15689032C22semidirect
101. #15689030C22semidirect
105. #15689023C22semidirect
106. #15689020C22semidirect
107. #15689018C22semidirect
109. #15689015C22semidirect
110. #15689015C22semidirect
111. #15689014C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
115. #15689012C22semidirect
118. #15689010C22semidirect
119. #15689009C22semidirect
120. #15689008C22semidirect
121. #15689007C22semidirect
122. #15689004C22semidirect
123. #15689004C22semidirect
125. #15689002C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
139. #15688998C22semidirect
146. #15688994C22semidirect
148. #15688985C22semidirect
150. #15688981C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. #15688974C22semidirect
154. #15688974C22semidirect
155. #15688974C22semidirect
159. C22⋊C4×Dic47C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688968C22semidirect
175. C2×#117×C47C22semidirect
176. C47×#400C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
184. C47×#387C22semidirect
187. C47×#385C22semidirect
243. #13093986D4semidirect
446. C2×C22⋊D47#41semidirect
520. C2×C4×D47#41semidirect
521. C2×C4×D47#41semidirect
549. C22⋊Dic47#41semidirect
846. #2477D47semidirect
924. C2×#117C2×D47semidirect
933. #400C2×D47semidirect
958. #393C2×D47semidirect
964. #391C2×D47semidirect
982. #388C2×D47semidirect
989. #387C2×D47semidirect
990. #387C2×D47semidirect
1016. #385C2×D47semidirect
1045. C47#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#156896362
C2×#156895912
#202475742
#202474932
#202474862
#202474052
#202473982
#202473082
#202473012
#202472052
#202471392
#202470612
#202469972
#202469252
#202468512
#202467722
#202467052
#202466732
#202466612
#202466272
#202466052
#202459152
#202459092
#202459002
#202458982
#202458932
#202458772
#202458262
#202458242
C4×C22⋊C4×D472
C47×#24772
#3473247