Finite Group Databasebeta

← #26423675

Subgroups — #26423675

Order 12032.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic, complemented
2C2×#15689681C211yesmaximal, characteristic, complemented
3#20251731C211yesmaximal, characteristic, complemented
4#20251685C211yesmaximal, characteristic, complemented
5#20250245C211yesmaximal, characteristic, complemented
6#20250239C211yesmaximal, characteristic, complemented
7#20250137C211yesmaximal, characteristic, complemented
8#20250131C211yesmaximal, characteristic, complemented
9#20250082C211yesmaximal, characteristic, complemented
10#20250076C211yesmaximal, characteristic, complemented
11#20250037C211yesmaximal, characteristic, complemented
12#20250031C211yesmaximal, characteristic, complemented
13#20249786C211yesmaximal, characteristic, complemented
14#20249780C211yesmaximal, characteristic, complemented
15#20249718C211yesmaximal, characteristic, complemented
16#20249716C211yesmaximal, characteristic, complemented
17#20249616C211yesmaximal, characteristic, complemented
18#20249611C211yesmaximal, characteristic, complemented
19#20249604C211yesmaximal, characteristic, complemented
20#20249600C211yesmaximal, characteristic, complemented
21#20249492C211yesmaximal, characteristic, complemented
22#20249318C211yesmaximal, characteristic, complemented
23#20248350C211yesmaximal, characteristic, complemented
24#20248344C211yesmaximal, characteristic, complemented
25#20246822C211yesmaximal, characteristic, complemented
26#20246761C211yesmaximal, characteristic, complemented
27#20246761C211yesmaximal, characteristic, complemented
28#20246759C211yesmaximal, characteristic, complemented
29#20246759C211yesmaximal, characteristic, complemented
30C2×#15689013C211yesmaximal, characteristic, complemented
31C47×#2416C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34#15689706—28no—
35#15689681—28no—
36C2×#13094020C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094018C2211yescharacteristic, complemented
39C2×#13094012C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic, complemented
41C2×#13094010C2211yescharacteristic, complemented
42C2×#13094009C2211yescharacteristic
43C2×#13094009C2211yescharacteristic
44C2×#13094009C2211yescharacteristic, complemented
45C2×#13094007C2211yescharacteristic, complemented
46C2×#13094006C2211yescharacteristic
47C2×#13094006C2211yescharacteristic
48C2×#13094001C2211yescharacteristic, complemented
49C2×#13093999C2211yescharacteristic, complemented
50C2×#13093998C2211yescharacteristic
51C2×#13093998C2211yescharacteristic, complemented
52C2×#13093998C2211yescharacteristic, complemented
53C2×#13093998C2211yescharacteristic, complemented
54C2×#13093997C2211yescharacteristic, complemented
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093996C2211yescharacteristic, complemented
58C2×#13093996C2211yescharacteristic, complemented
59C2×#13093996C2211yescharacteristic, complemented
60C2×#13093996C2211yescharacteristic, complemented
61C2×#13093996C2211yescharacteristic, complemented
62C2×#13093994C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×#13093994C2211yescharacteristic
65C2×#13093994C2211yescharacteristic, complemented
66C2×#13093994C2211yescharacteristic, complemented
67C2×#13093992C2211yescharacteristic
68C2×#13093992C2211yescharacteristic
69C2×#13093992C2211yescharacteristic
70C2×#13093992C2211yescharacteristic, complemented
71C2×#13093992C2211yescharacteristic, complemented
72C2×C4×C22⋊D47C2211yescharacteristic, complemented
73C22×(C2×D47)⋊C4C2211yescharacteristic
74C22×(C2×D47)⋊C4C2211yescharacteristic
75C22×(C2×D47)⋊C4C2211yescharacteristic
76C22×C4×Dic47C2211yescharacteristic, complemented
77#15689065C2211yescharacteristic, complemented
78#15689064C2211yescharacteristic, complemented
79#15689059C2211yescharacteristic, complemented
80#15689059C2211yescharacteristic, complemented
81#15689058C2211yescharacteristic, complemented
82#15689058C2211yescharacteristic, complemented
83#15689054C2211yescharacteristic, complemented
84#15689053C2211yescharacteristic, complemented
85#15689052C2211yescharacteristic, complemented
86#15689051C2211yescharacteristic, complemented
87#15689049C2211yescharacteristic, complemented
88#15689048C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic
92#15689041C2211yescharacteristic
93#15689040C2211yescharacteristic
94#15689040C2211yescharacteristic
95#15689040C2211yescharacteristic, complemented
96#15689040C2211yescharacteristic, complemented
97#15689040C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic
99#15689039C2211yescharacteristic
100#15689039C2211yescharacteristic, complemented
101#15689038C2211yescharacteristic
102#15689038C2211yescharacteristic
103#15689038C2211yescharacteristic, complemented
104#15689037C2211yescharacteristic, complemented
105#15689036C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689033C2211yescharacteristic
108#15689033C2211yescharacteristic
109#15689032C2211yescharacteristic
110#15689032C2211yescharacteristic
111#15689032C2211yescharacteristic
112#15689032C2211yescharacteristic
113#15689032C2211yescharacteristic, complemented
114#15689032C2211yescharacteristic, complemented
115#15689032C2211yescharacteristic, complemented
116#15689031C2211yescharacteristic
117#15689031C2211yescharacteristic
118#15689031C2211yescharacteristic, complemented
119#15689031C2211yescharacteristic, complemented
120#15689031C2211yescharacteristic, complemented
121#15689027C2211yescharacteristic, complemented
122#15689026C2211yescharacteristic, complemented
123#15689024C2211yescharacteristic, complemented
124#15689024C2211yescharacteristic, complemented
125#15689023C2211yescharacteristic, complemented
126#15689023C2211yescharacteristic, complemented
127#15689023C2211yescharacteristic, complemented
128#15689023C2211yescharacteristic, complemented
129#15689023C2211yescharacteristic, complemented
130#15689022C2211yescharacteristic, complemented
131#15689016C2211yescharacteristic, complemented
132#15689015C2211yescharacteristic, complemented
133#15689014C2211yescharacteristic, complemented
134#15689014C2211yescharacteristic, complemented
135#15689013C2211yescharacteristic, complemented
136#15689013C2211yescharacteristic, complemented
137#15689013C2211yescharacteristic, complemented
138#15689013C2211yescharacteristic, complemented
139#15689013C2211yescharacteristic, complemented
140#15689013C2211yescharacteristic, complemented
141#15689013C2211yescharacteristic, complemented
142#15689013C2211yescharacteristic, complemented
143#15689012C2211yescharacteristic, complemented
144#15689011C2211yescharacteristic, complemented
145#15689011C2211yescharacteristic, complemented
146#15689011C2211yescharacteristic, complemented
147#15689003C2211yescharacteristic, complemented
148#15689003C2211yescharacteristic, complemented
149#15689002C2211yescharacteristic, complemented
150#15689002C2211yescharacteristic, complemented
151#15689002C2211yescharacteristic, complemented
152#15689002C2211yescharacteristic, complemented
153#15689001C2211yescharacteristic, complemented
154#15689001C2211yescharacteristic, complemented
155#15689000C2211yescharacteristic, complemented
156#15689000C2211yescharacteristic, complemented
157#15688999C2211yescharacteristic, complemented
158#15688999C2211yescharacteristic, complemented
159#15688999C2211yescharacteristic, complemented
160#15688999C2211yescharacteristic, complemented
161#15688997C2211yescharacteristic, complemented
162#15688997C2211yescharacteristic, complemented
163#15688994C2211yescharacteristic, complemented
164#15688994C2211yescharacteristic, complemented
165#15688992C2211yescharacteristic, complemented
166#15688987C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×#121×C47C2211yescharacteristic
175C2×#121×C47C2211yescharacteristic, complemented
176C2×#121×C47C2211yescharacteristic, complemented
177C2×#121×C47C2211yescharacteristic, complemented
178C2×C4×D4×C47C2211yescharacteristic, complemented
179C22×C4⋊C4×C47C2211yescharacteristic, complemented
180C47×#396C2211yescharacteristic, complemented
181C47×#396C2211yescharacteristic, complemented
182C47×#394C2211yescharacteristic, complemented
183C47×#394C2211yescharacteristic, complemented
184C47×#390C2211yescharacteristic, complemented
185C47×#389C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C47×#386C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C2×D4×D47—24no—
215C2×D4×D47—24no—
216C2×D4×D47—42no—
217C2×D4×D47—42no—
218C2×D4×D47—42no—
219C2×D4×D47—42no—
220C23×Dic47C2311yescharacteristic
221C23×Dic47C2311yescharacteristic
222C23×Dic47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226#13094020—42no—
227#13094019—24no—
228#13094018—24no—
229#13094012—24no—
230#13094010—24no—
231#13094010—42no—
232#13094009—24no—
233#13094009—24no—
234#13094009—24no—
235#13094007—24no—
236#13094006—24no—
237#13094006—24no—
238#13094001—24no—
239#13093999—42no—
240#13093998—24no—
241#13093998—24no—
242#13093998—42no—
243#13093998—42no—
244#13093997—24no—
245#13093996—24no—
246#13093996—24no—
247#13093996—24no—
248#13093996—42no—
249#13093996—42no—
250#13093996—42no—
251#13093996—42no—
252#13093994—24no—
253#13093994—24no—
254#13093994—24no—
255#13093994—42no—
256#13093994—42no—
257#13093992—24no—
258#13093992—24no—
259#13093992—24no—
260#13093992—42no—
261#13093992—42no—
262C4×C22⋊D47—24no—
263C2×C4⋊Dic47C2311yescharacteristic
264C2×C4⋊Dic47C2311yescharacteristic
265C2×C4⋊Dic47C2311yescharacteristic
266C2×C4⋊Dic47C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4—42no—
290C2×(C2×D47)⋊C4—42no—
291C2×(C2×D47)⋊C4D418yescomplemented
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
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C2×(C2×D47)⋊C4C2311yescharacteristic
330C2×C4×Dic47—42no—
331C2×C4×Dic47C2311yescharacteristic
332C2×C4×Dic47C2311yescharacteristic
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C2×C4×Dic47C2311yescharacteristic
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
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366#121×C47—24no—
367#121×C47—42no—
368#121×C47—42no—
369#121×C47—42no—
370C4×D4×C47—24no—
371C2×C4⋊C4×C47—42no—
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊C4×C47C2311yescharacteristic
375C2×C4⋊C4×C47C2311yescharacteristic
376C2×C4⋊C4×C47C2311yescharacteristic
377C2×C4⋊C4×C47C2311yescharacteristic
378C2×C4⋊C4×C47C2311yescharacteristic
379C2×C4⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389C2×C22⋊C4×C47C2311yescharacteristic
390C2×C22⋊C4×C47C2311yescharacteristic
391C2×C22⋊C4×C47C2311yescharacteristic
392C2×C42×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47—41no—
411C23×D47—41no—
412C23×D47—41no—
413C23×D47—41no—
414C23×D47—41no—
415C23×D47—41no—
416C23×D47—41no—
417C23×D47—41no—
418C23×D47—41no—
419C23×D47—41no—
420C23×D47—41no—
421C23×D47C2×D414yes—
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C23×D47C2411yescharacteristic
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—22no—
435C2×D4×C47—22no—
436C2×D4×C47—22no—
437C2×D4×C47—22no—
438C2×D4×C47—41no—
439C2×D4×C47—41no—
440C2×D4×C47—41no—
441C2×D4×C47—41no—
442C2×D4×C47—41no—
443C2×D4×C47—41no—
444C2×D4×C47—41no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—22no—
448C22×C4×C47—22no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47C2×D414yes—
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—22no—
473C2×C22⋊D47—22no—
474C2×C22⋊D47—22no—
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
477C2×C22⋊D47—22no—
478C2×C22⋊D47—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—22no—
481C2×C22⋊D47—22no—
482C2×C22⋊D47—22no—
483C2×C22⋊D47—22no—
484C2×C22⋊D47—22no—
485C2×C22⋊D47—22no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C2×C22⋊D47—41no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47—41no—
501C2×C22⋊D47—41no—
502C2×C22⋊D47—41no—
503C2×C22⋊D47—41no—
504C2×C22⋊D47—41no—
505C2×C22⋊D47—41no—
506C2×C22⋊D47—41no—
507C2×C22⋊D47—41no—
508C2×C22⋊D47—41no—
509C2×C22⋊D47—41no—
510C22×Dic47—22no—
511C22×Dic47—22no—
512C22×Dic47—22no—
513C22×Dic47—41no—
514C22×Dic47—41no—
515C22×Dic47—41no—
516C22×Dic47—41no—
517C22×Dic47—41no—
518C22×Dic47C2×D414yes—
519C22×Dic47C2411yescharacteristic
520C22×Dic47C2411yescharacteristic
521C22×Dic47C2411yescharacteristic
522C22×Dic47C2411yescharacteristic
523C22×Dic47C2411yescharacteristic
524C22×Dic47C2411yescharacteristic
525C22×Dic47C2411yescharacteristic
526C22×Dic47C2411yescharacteristic
527C22×Dic47C2411yescharacteristic
528C22×Dic47C2411yescharacteristic
529C22×Dic47C2411yescharacteristic
530D4×D47—416no—
531D4×D47—416no—
532C2×D188—22no—
533C2×D188—22no—
534C2×D188—22no—
535C2×D188—22no—
536C2×D188—22no—
537C2×D188—22no—
538C2×D188—41no—
539C2×D188—41no—
540C2×D188—41no—
541C2×D188—41no—
542C2×D188—41no—
543C2×D188—41no—
544C2×D188—41no—
545C2×D188—41no—
546C2×D188—41no—
547C2×D188—41no—
548C2×D188—41no—
549C2×D188—41no—
550C2×D188—41no—
551C2×D188—41no—
552C2×D188—41no—
553C2×C4×D47—22no—
554C2×C4×D47—22no—
555C2×C4×D47—22no—
556C2×C4×D47—41no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47—41no—
561C2×C4×D47—41no—
562C2×Dic94—22no—
563C2×Dic94—41no—
564C2×Dic94—41no—
565C4⋊C4×C47—22no—
566C4⋊C4×C47—22no—
567C4⋊C4×C47—22no—
568C4⋊C4×C47—22no—
569C4⋊C4×C47—41no—
570C4⋊C4×C47—41no—
571C4⋊C4×C47—41no—
572C4⋊C4×C47—41no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—22no—
577C22⋊C4×C47—22no—
578C22⋊C4×C47—41no—
579C22⋊C4×C47—41no—
580C22⋊C4×C47—41no—
581C22⋊C4×C47—41no—
582C22⋊C4×C47—41no—
583C22⋊C4×C47—41no—
584C22⋊C4×C47—41no—
585C42×C47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—22no—
590C22⋊Dic47—22no—
591C22⋊Dic47—41no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47—41no—
595C22⋊Dic47—41no—
596C22⋊Dic47—41no—
597C22⋊Dic47—41no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—22no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4—41no—
620(C2×D47)⋊C4—41no—
621(C2×D47)⋊C4—41no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4—41no—
624(C2×D47)⋊C4—41no—
625(C2×D47)⋊C4—41no—
626(C2×D47)⋊C4—41no—
627(C2×D47)⋊C4—41no—
628(C2×D47)⋊C4—41no—
629(C2×D47)⋊C4—41no—
630(C2×D47)⋊C4—41no—
631(C2×D47)⋊C4—41no—
632(C2×D47)⋊C4C2×D414yes—
633(C2×D47)⋊C4C2×D414yes—
634(C2×D47)⋊C4C2×D414yes—
635(C2×D47)⋊C4C2×D414yes—
636C4⋊Dic47—22no—
637C4⋊Dic47—22no—
638C4⋊Dic47—41no—
639C4⋊Dic47—41no—
640Dic47⋊C4—22no—
641Dic47⋊C4—22no—
642Dic47⋊C4—22no—
643Dic47⋊C4—22no—
644Dic47⋊C4—22no—
645Dic47⋊C4—22no—
646Dic47⋊C4—41no—
647Dic47⋊C4—41no—
648Dic47⋊C4—41no—
649Dic47⋊C4—41no—
650C4×Dic47—22no—
651C4×Dic47—22no—
652C4×Dic47—22no—
653C4×Dic47—41no—
654C4×Dic47—41no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—21no—
672C23×C47—21no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—21no—
677C23×C47—21no—
678C23×C47—21no—
679C23×C47—21no—
680C23×C47C22×D412yes—
681C23×C47H(5,𝔽2)12yes—
682C23×C47H(5,𝔽2)12yes—
683C23×C47C2511yescharacteristic
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—21no—
696C22×D47—28no—
697C22×D47—21no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—21no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—21no—
718C22×D47—44no—
719C22×D47—44no—
720C22×D47—44no—
721C22×D47—44no—
722C22×D47—82no—
723C22×D47—82no—
724C22×D47—82no—
725C22×D47—82no—
726C22×D47—82no—
727C22×D47—82no—
728C22×D47—82no—
729C22×D47—82no—
730C22×D47—82no—
731C22×D47—82no—
732C22×D47—82no—
733C22×D47—82no—
734C22×D47—82no—
735C22×D47—82no—
736C22×D47—82no—
737C22×D47—82no—
738C22×D47C22×D412yes—
739C22×D47C22×D412yes—
740D4×C47—44no—
741D4×C47—44no—
742D4×C47—44no—
743D4×C47—82no—
744D4×C47—82no—
745D4×C47—82no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—21no—
766C2×C4×C47—21no—
767C2×C4×C47—21no—
768C2×C4×C47—21no—
769C2×C4×C47—21no—
770C2×C4×C47—21no—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—44no—
777C2×C4×C47—44no—
778C2×C4×C47—82no—
779C2×C4×C47—82no—
780C2×C4×C47C22×D412yes—
781C2×C4×C47C22×D412yes—
782C2×C4×C47H(5,𝔽2)12yes—
783C22⋊D47—44no—
784C22⋊D47—44no—
785C22⋊D47—44no—
786C22⋊D47—44no—
787C22⋊D47—44no—
788C22⋊D47—82no—
789C22⋊D47—82no—
790C22⋊D47—82no—
791C22⋊D47—82no—
792C22⋊D47—82no—
793C22⋊D47—82no—
794C22⋊D47—82no—
795C22⋊D47—82no—
796C22⋊D47—82no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—21no—
804C2×Dic47—21no—
805C2×Dic47—21no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—44no—
828C2×Dic47—44no—
829C2×Dic47—82no—
830C2×Dic47C22×D412yes—
831C2×Dic47C22×D412yes—
832C2×Dic47H(5,𝔽2)12yes—
833D188—44no—
834D188—44no—
835D188—82no—
836D188—82no—
837D188—82no—
838D188—82no—
839D188—82no—
840C4×D47—44no—
841C4×D47—44no—
842C4×D47—82no—
843Dic94—82no—
844#36739—471nomaximal, Sylow
845C22×C47—22no—
846C22×C47—22no—
847C22×C47—22no—
848C22×C47—22no—
849C22×C47—22no—
850C22×C47—22no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—41no—
863C22×C47—41no—
864C22×C47—41no—
865C22×C47—41no—
866C22×C47—41no—
867C22×C47—41no—
868C22×C47—41no—
869C22×C47—41no—
870C22×C47—41no—
871C22×C47—41no—
872C22×C47#53514yes—
873C22×C47C23×D411yescharacteristic
874C22×C47C2×H(5,𝔽2)11yescharacteristic
875C22×C47C2×H(5,𝔽2)11yescharacteristic
876C22×C47C2×H(5,𝔽2)11yescharacteristic
877C22×C47C2×H(5,𝔽2)11yescharacteristic
878C22×C47#58511yescharacteristic
879C22×C47#58511yescharacteristic
880C2×D47—22no—
881C2×D47—22no—
882C2×D47—22no—
883C2×D47—22no—
884C2×D47—22no—
885C2×D47—22no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—41no—
897C2×D47—41no—
898C2×D47—41no—
899C2×D47—41no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—88no—
916C2×D47—88no—
917C2×D47—88no—
918C4×C47—22no—
919C4×C47—22no—
920C4×C47—22no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47—41no—
925C4×C47—41no—
926C4×C47—41no—
927C4×C47—41no—
928C4×C47—41no—
929Dic47—22no—
930Dic47—22no—
931Dic47—22no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938Dic47—41no—
939Dic47—41no—
940C2×#538—471no—
941C2×#534—471no—
942#2856—471no—
943#2850—471no—
944#2718—471no—
945#2718—471no—
946#2710—471no—
947#2710—471no—
948#2706—471no—
949#2706—471no—
950#2703—471no—
951#2703—471no—
952#2685—471no—
953#2685—471no—
954#2678—471no—
955#2678—471no—
956#2670—471no—
957#2670—471no—
958#2669—471no—
959#2669—471no—
960#2656—471no—
961#2639—471no—
962#2543—471no—
963#2543—471no—
964#2416—471no—
965#2416D4711yescharacteristic, complemented
966#2410—471no—
967#2410—471no—
968#2410—471no—
969#2410—471no—
970C2×#388—471no—
971C2×C47—24no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47C2×#53511yescharacteristic
976C2×C47#349611yescharacteristic
977C2×C47#349611yescharacteristic
978C2×C47#353411yescharacteristic
979C2×C47#353711yescharacteristic
980C2×C47#355811yescharacteristic
981C2×C47#356011yescharacteristic
982D47—42no—
983D47—42no—
984D47—81no—
985D47—81no—
986D47—81no—
987C23×D4—471no—
988C23×D4—471no—
989#538—948no—
990#534—948no—
991C2×#127—471no—
992C2×#126—471no—
993C2×#126—471no—
994C2×#124—471no—
995C2×#124—471no—
996C2×#124—471no—
997C2×#123—471no—
998C2×#123—471no—
999C2×#123—471no—
1000C2×#123—471no—
1001C2×#123—471no—
1002C2×#123—471no—
1003C2×C22⋊Q8—471no—
1004C2×#121—471no—
1005C2×#121—471no—
1006C2×#121—471no—
1007C2×#121—471no—
1008C2×#121—471no—
1009C2×#121—471no—
1010C2×#121—471no—
1011C2×#121—471no—
1012C2×#121—471no—
1013C2×#121—471no—
1014C2×#121—471no—
1015C2×#121—471no—
1016C2×#121—471no—
1017C2×#121C2×D4711yescharacteristic
1018C2×#121C2×D4711yescharacteristic, complemented
1019C2×#121C2×D4711yescharacteristic, complemented
1020C2×#121C2×D4711yescharacteristic, complemented
1021C2×#120—471no—
1022C2×#120—471no—
1023C2×#120—471no—
1024C2×#120—471no—
1025C2×#120—471no—
1026C2×#120—471no—
1027C2×#120—471no—
1028C2×#120—471no—
1029C2×#120—471no—
1030C2×#120—471no—
1031C2×C4×D4—471no—
1032C2×C4×D4C2×D4711yescharacteristic, complemented
1033C22×C4⋊C4C2×D4711yescharacteristic, complemented
1034C22×C22⋊C4—471no—
1035C22×C22⋊C4—471no—
1036C22×C22⋊C4—471no—
1037C22×C42—471no—
1038#400—471no—
1039#400—471no—
1040#399—471no—
1041#399—471no—
1042#399—471no—
1043#399—471no—
1044#398—471no—
1045#398—471no—
1046#397—471no—
1047#397—471no—
1048#397—471no—
1049#397—471no—
1050#396—471no—
1051#396—471no—
1052#396C2×D4711yescharacteristic, complemented
1053#396C2×D4711yescharacteristic, complemented
1054#394—471no—
1055#394—471no—
1056#394—471no—
1057#394—471no—
1058#394—471no—
1059#394—471no—
1060#394—471no—
1061#394—471no—
1062#394—471no—
1063#394—471no—
1064#394—471no—
1065#394—471no—
1066#394—471no—
1067#394—471no—
1068#394C2×D4711yescharacteristic, complemented
1069#394C2×D4711yescharacteristic, complemented
1070#393—471no—
1071#393—471no—
1072#392—471no—
1073#392—471no—
1074#392—471no—
1075#392—471no—
1076#392—471no—
1077#392—471no—
1078#392—471no—
1079#392—471no—
1080#392—471no—
1081#392—471no—
1082#392—471no—
1083#392—471no—
1084#392—471no—
1085#392—471no—
1086#391—471no—
1087#390—471no—
1088#390—471no—
1089#390—471no—
1090#390—471no—
1091#390—471no—
1092#390—471no—
1093#390—471no—
1094#390—471no—
1095#390C2×D4711yescharacteristic, complemented
1096#389—471no—
1097#389C2×D4711yescharacteristic, complemented
1098#388—471no—
1099#388—471no—
1100#388—471no—
1101#388—471no—
1102#388—471no—
1103#388—471no—
1104#388—471no—
1105#388—471no—
1106#388—471no—
1107#388—471no—
1108#388—471no—
1109#388—471no—
1110#388—471no—
1111#388—471no—
1112#388—471no—
1113#388—471no—
1114#386—471no—
1115#386—471no—
1116#386—471no—
1117#386—471no—
1118#386—471no—
1119#386—471no—
1120#386—471no—
1121#386—471no—
1122#386—471no—
1123#386—471no—
1124#386—471no—
1125#386—471no—
1126#386—471no—
1127#386—471no—
1128#386C2×D4711yescharacteristic, complemented
1129#386C2×D4711yescharacteristic, complemented
1130#385—471no—
1131#385—471no—
1132#385—471no—
1133#385—471no—
1134#384—471no—
1135#382—471no—
1136#380—471no—
1137#380C2×D4711yescharacteristic, complemented
1138#379—471no—
1139#379—471no—
1140#379—471no—
1141#379—471no—
1142C2×#95—471no—
1143C2×#95—471no—
1144C47#3673911yescharacteristic, complemented, Sylow
1145C25—471no—
1146C25—471no—
1147C25—471no—
1148C22×Q8—471no—
1149C22×D4—471no—
1150C22×D4—471no—
1151C22×D4—471no—
1152C22×D4—471no—
1153C22×D4—471no—
1154C22×D4—471no—
1155C22×D4—471no—
1156C22×D4—471no—
1157C22×D4—471no—
1158C22×D4—471no—
1159C22×D4—471no—
1160C22×D4—471no—
1161C22×D4—471no—
1162C22×D4—471no—
1163C22×D4—471no—
1164C22×D4—471no—
1165C22×D4—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—471no—
1170C22×D4—944no—
1171C22×D4—944no—
1172C22×D4—1882no—
1173C22×D4—1882no—
1174C22×D4—1882no—
1175C22×D4—1882no—
1176C22×D4C22×D4711yescharacteristic
1177C22×D4C22×D4711yescharacteristic
1178C22×D4C22×D4711yescharacteristic
1179C22×D4C22×D4711yescharacteristic
1180C22×D4C22×D4711yescharacteristic
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—471no—
1183C23×C4—471no—
1184C23×C4—471no—
1185C23×C4—471no—
1186C23×C4—471no—
1187C23×C4—471no—
1188C23×C4C22×D4711yescharacteristic
1189C23×C4C22×D4711yescharacteristic
1190C23×C4C22×D4711yescharacteristic
1191C23×C4C22×D4711yescharacteristic
1192#127—1882no—
1193#126—944no—
1194#126—944no—
1195#124—944no—
1196#124—944no—
1197#124—1882no—
1198#123—944no—
1199#123—944no—
1200#123—944no—
1201#123—944no—
1202#123—944no—
1203#123—944no—
1204C22⋊Q8—944no—
1205#121—24no—
1206#121—42no—
1207#121—42no—
1208#121—42no—
1209#121—944no—
1210#121—944no—
1211#121—944no—
1212#121—944no—
1213#121—944no—
1214#121—944no—
1215#121—1882no—
1216#121—1882no—
1217#121—1882no—
1218#121—1882no—
1219#121—1882no—
1220#121—1882no—
1221#121—1882no—
1222#120—944no—
1223#120—944no—
1224#120—944no—
1225#120—944no—
1226#120—944no—
1227#120—944no—
1228#120—1882no—
1229#120—1882no—
1230#120—1882no—
1231#120—1882no—
1232C4×D4—24no—
1233C4×D4—944no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—471no—
1236C2×C4⋊C4—471no—
1237C2×C4⋊C4—471no—
1238C2×C4⋊C4—471no—
1239C2×C4⋊C4—471no—
1240C2×C4⋊C4—471no—
1241C2×C4⋊C4—471no—
1242C2×C4⋊C4—471no—
1243C2×C4⋊C4—471no—
1244C2×C4⋊C4—471no—
1245C2×C4⋊C4—471no—
1246C2×C4⋊C4—471no—
1247C2×C4⋊C4—471no—
1248C2×C4⋊C4—471no—
1249C2×C4⋊C4C22×D4711yescharacteristic
1250C2×C4⋊C4C22×D4711yescharacteristic
1251C2×C4⋊C4C22×D4711yescharacteristic
1252C2×C4⋊C4C22×D4711yescharacteristic
1253C2×C4⋊C4C22×D4711yescharacteristic
1254C2×C4⋊C4C22×D4711yescharacteristic
1255C2×C4⋊C4C22×D4711yescharacteristic
1256C2×C4⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4—478no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—471no—
1280C2×C22⋊C4—471no—
1281C2×C22⋊C4—471no—
1282C2×C22⋊C4—471no—
1283C2×C22⋊C4—471no—
1284C2×C22⋊C4—471no—
1285C2×C22⋊C4—471no—
1286C2×C22⋊C4—471no—
1287C2×C22⋊C4—471no—
1288C2×C22⋊C4—471no—
1289C2×C22⋊C4—471no—
1290C2×C22⋊C4—471no—
1291C2×C22⋊C4—471no—
1292C2×C22⋊C4—471no—
1293C2×C22⋊C4—471no—
1294C2×C22⋊C4—471no—
1295C2×C22⋊C4—471no—
1296C2×C22⋊C4—471no—
1297C2×C22⋊C4—471no—
1298C2×C22⋊C4—471no—
1299C2×C22⋊C4—471no—
1300C2×C22⋊C4—471no—
1301C2×C22⋊C4—471no—
1302C2×C22⋊C4—471no—
1303C2×C22⋊C4—471no—
1304C2×C22⋊C4—471no—
1305C2×C22⋊C4—471no—
1306C2×C22⋊C4—471no—
1307C2×C22⋊C4—471no—
1308C2×C22⋊C4—1882no—
1309C2×C22⋊C4—1882no—
1310C2×C22⋊C4C22×D4711yescharacteristic
1311C2×C22⋊C4C22×D4711yescharacteristic
1312C2×C22⋊C4C22×D4711yescharacteristic
1313C2×C22⋊C4C22×D4711yescharacteristic
1314C2×C22⋊C4C22×D4711yescharacteristic
1315C2×C22⋊C4C22×D4711yescharacteristic
1316C2×C22⋊C4C22×D4711yescharacteristic
1317C2×C22⋊C4C22×D4711yescharacteristic
1318C2×C22⋊C4C22×D4711yescharacteristic
1319C2×C22⋊C4C22×D4711yescharacteristic
1320C2×C22⋊C4C22×D4711yescharacteristic
1321C2×C22⋊C4C22×D4711yescharacteristic
1322C2×C42—471no—
1323C2×C42—471no—
1324C2×C42—471no—
1325C2×C42—471no—
1326C2×C42—471no—
1327C2×C42—1882no—
1328C2×C42C22×D4711yescharacteristic
1329#95—471no—
1330#95—471no—
1331#95—471no—
1332#95—471no—
1333#95—471no—
1334#95—471no—
1335#95—471no—
1336#95—471no—
1337#95—471no—
1338#95—471no—
1339#95—471no—
1340#95—471no—
1341#95—471no—
1342#95—471no—
1343#95—471no—
1344#95—471no—
1345#95—471no—
1346#95—471no—
1347#95—471no—
1348#95—471no—
1349#95C22×D4711yescharacteristic
1350#95C22×D4711yescharacteristic
1351#95C22×D4711yescharacteristic
1352#95C22×D4711yescharacteristic
1353C24—471no—
1354C24—471no—
1355C24—474no—
1356C24—471no—
1357C24—471no—
1358C24—471no—
1359C24—942no—
1360C24—942no—
1361C24—942no—
1362C24—942no—
1363C24—1881no—
1364C24—1881no—
1365C24—1881no—
1366C24—1881no—
1367C24—1881no—
1368C24—1881no—
1369C24—1881no—
1370C24—1881no—
1371C24—1881no—
1372C24—1881no—
1373C24—1881no—
1374C24—1881no—
1375C24—1881no—
1376C24—1881no—
1377C24—1881no—
1378C24—1881no—
1379C24C23×D4711yescharacteristic
1380C24C23×D4711yescharacteristic
1381C24C23×D4711yescharacteristic
1382C24C23×D4711yescharacteristic
1383C2×Q8—942no—
1384C2×Q8—1881no—
1385C2×Q8—1881no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—942no—
1405C2×D4—942no—
1406C2×D4—942no—
1407C2×D4—942no—
1408C2×D4—942no—
1409C2×D4—942no—
1410C2×D4—942no—
1411C2×D4—942no—
1412C2×D4—942no—
1413C2×D4—942no—
1414C2×D4—942no—
1415C2×D4—942no—
1416C2×D4—942no—
1417C2×D4—942no—
1418C2×D4—942no—
1419C2×D4—942no—
1420C2×D4—942no—
1421C2×D4—942no—
1422C2×D4—942no—
1423C2×D4—942no—
1424C2×D4—942no—
1425C2×D4—942no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4—1881no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4—1881no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4—1881no—
1442C2×D4—1881no—
1443C2×D4—1881no—
1444C2×D4—1881no—
1445C2×D4—1881no—
1446C2×D4—1881no—
1447C2×D4—1881no—
1448C2×D4—1881no—
1449C2×D4—1881no—
1450C2×D4—1881no—
1451C2×D4—1881no—
1452C2×D4—1881no—
1453C2×D4—1881no—
1454C2×D4—1881no—
1455C2×D4—1881no—
1456C2×D4—1881no—
1457C2×D4—1881no—
1458C2×D4—1881no—
1459C2×D4—1881no—
1460C2×D4—1881no—
1461C2×D4—1881no—
1462C2×D4—1881no—
1463C2×D4—1881no—
1464C2×D4—1881no—
1465C2×D4—1881no—
1466C2×D4—1881no—
1467C2×D4—18816no—
1468C2×D4—18816no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—471no—
1481C22×C4—471no—
1482C22×C4—471no—
1483C22×C4—474no—
1484C22×C4—471no—
1485C22×C4—471no—
1486C22×C4—471no—
1487C22×C4—471no—
1488C22×C4—471no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—942no—
1493C22×C4—942no—
1494C22×C4—942no—
1495C22×C4—942no—
1496C22×C4—942no—
1497C22×C4—942no—
1498C22×C4—1881no—
1499C22×C4—1881no—
1500C22×C4—1881no—
1501C22×C4—1881no—
1502C22×C4—1881no—
1503C22×C4—1881no—
1504C22×C4—1881no—
1505C22×C4—1881no—
1506C22×C4—1881no—
1507C22×C4—1881no—
1508C22×C4—1881no—
1509C22×C4D4×D4714yes—
1510C22×C4C23×D4711yescharacteristic
1511C22×C4C23×D4711yescharacteristic
1512C22×C4C23×D4711yescharacteristic
1513C22×C4C23×D4711yescharacteristic
1514C22×C4C23×D4711yescharacteristic
1515C22×C4C23×D4711yescharacteristic
1516C22×C4C23×D4711yescharacteristic
1517C22×C4C23×D4711yescharacteristic
1518C22×C4C23×D4711yescharacteristic
1519C22×C4C23×D4711yescharacteristic
1520C22×C4C23×D4711yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—942no—
1530C4⋊C4—942no—
1531C4⋊C4—942no—
1532C4⋊C4—942no—
1533C4⋊C4—942no—
1534C4⋊C4—942no—
1535C4⋊C4—942no—
1536C4⋊C4—942no—
1537C4⋊C4—1881no—
1538C4⋊C4—1881no—
1539C4⋊C4—1881no—
1540C4⋊C4—1881no—
1541C4⋊C4—1881no—
1542C4⋊C4—1881no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—474no—
1556C22⋊C4—474no—
1557C22⋊C4—474no—
1558C22⋊C4—474no—
1559C22⋊C4—942no—
1560C22⋊C4—942no—
1561C22⋊C4—942no—
1562C22⋊C4—942no—
1563C22⋊C4—942no—
1564C22⋊C4—942no—
1565C22⋊C4—942no—
1566C22⋊C4—942no—
1567C22⋊C4—942no—
1568C22⋊C4—942no—
1569C22⋊C4—942no—
1570C22⋊C4—942no—
1571C22⋊C4—942no—
1572C22⋊C4—942no—
1573C22⋊C4—942no—
1574C22⋊C4—942no—
1575C22⋊C4—942no—
1576C22⋊C4—942no—
1577C22⋊C4—942no—
1578C22⋊C4—942no—
1579C22⋊C4—942no—
1580C22⋊C4—1881no—
1581C22⋊C4—1881no—
1582C22⋊C4—1881no—
1583C22⋊C4—1881no—
1584C22⋊C4—1881no—
1585C22⋊C4—1881no—
1586C22⋊C4—1881no—
1587C22⋊C4—1881no—
1588C22⋊C4—1881no—
1589C22⋊C4—1881no—
1590C22⋊C4—1881no—
1591C22⋊C4—1881no—
1592C22⋊C4—1881no—
1593C22⋊C4—1881no—
1594C22⋊C4—1881no—
1595C22⋊C4—1881no—
1596C22⋊C4—1881no—
1597C22⋊C4—1881no—
1598C22⋊C4—1881no—
1599C22⋊C4—1881no—
1600C22⋊C4—1881no—
1601C22⋊C4—1881no—
1602C22⋊C4—1881no—
1603C22⋊C4—1881no—
1604C22⋊C4—1881no—
1605C42—22no—
1606C42—942no—
1607C42—942no—
1608C42—942no—
1609C42—1881no—
1610C42—1881no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—472no—
1637C23—472no—
1638C23—948no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—941no—
1643C23—941no—
1644C23—941no—
1645C23—941no—
1646C23—941no—
1647C23—941no—
1648C23—941no—
1649C23—941no—
1650C23—941no—
1651C23—941no—
1652C23—941no—
1653C23—941no—
1654C23—941no—
1655C23—941no—
1656C23—941no—
1657C23—941no—
1658C23—941no—
1659C23—941no—
1660C23—941no—
1661C23—941no—
1662C23—941no—
1663C23—941no—
1664C23—941no—
1665C23—941no—
1666C23—941no—
1667C23—941no—
1668C23—941no—
1669C23—941no—
1670C23—941no—
1671C23—941no—
1672C23—3762no—
1673C23—3762no—
1674C23—3762no—
1675C23—3762no—
1676C23—3762no—
1677C23—3762no—
1678C23—3762no—
1679C23—3762no—
1680C23—3762no—
1681C23—3762no—
1682C23—3762no—
1683C23—3762no—
1684C23—3762no—
1685C23—3762no—
1686C23—3762no—
1687C23—3762no—
1688C23—1884no—
1689C23—1884no—
1690C23—1884no—
1691C23—1884no—
1692C23C2×D4×D4712yes—
1693C23#1309406912yes—
1694C23#1309407012yes—
1695C23C24×D4711yescharacteristic
1696Q8—3762no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—3762no—
1704D4—3762no—
1705D4—3762no—
1706D4—3762no—
1707D4—3762no—
1708D4—3762no—
1709D4—3762no—
1710D4—3762no—
1711D4—3762no—
1712D4—3762no—
1713D4—3762no—
1714D4—3762no—
1715D4—3762no—
1716D4—3762no—
1717D4—1884no—
1718D4—1884no—
1719D4—1884no—
1720D4—1884no—
1721D4—1884no—
1722D4—1884no—
1723D4—1884no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—82no—
1758C2×C4—472no—
1759C2×C4—472no—
1760C2×C4—472no—
1761C2×C4—941no—
1762C2×C4—941no—
1763C2×C4—941no—
1764C2×C4—941no—
1765C2×C4—941no—
1766C2×C4—941no—
1767C2×C4—941no—
1768C2×C4—941no—
1769C2×C4—941no—
1770C2×C4—941no—
1771C2×C4—941no—
1772C2×C4—941no—
1773C2×C4—941no—
1774C2×C4—941no—
1775C2×C4—941no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—3762no—
1792C2×C4—3762no—
1793C2×C4—1884no—
1794C2×C4—1884no—
1795C2×C4—1884no—
1796C2×C4—1884no—
1797C2×C4C2×D4×D4712yes—
1798C2×C4C2×D4×D4712yes—
1799C2×C4#1309406912yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—942no—
1828C22—942no—
1829C22—942no—
1830C22—942no—
1831C22—942no—
1832C22—942no—
1833C22—3768no—
1834C22—3768no—
1835C22—3768no—
1836C22—1881no—
1837C22—1881no—
1838C22—1881no—
1839C22—1881no—
1840C22—1881no—
1841C22—1881no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—1881no—
1849C22—1881no—
1850C22—1881no—
1851C22—1881no—
1852C22—1881no—
1853C22—1881no—
1854C22—1881no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—1881no—
1864C22—1881no—
1865C22#1568968914yes—
1866C22C22×D4×D4711yescharacteristic
1867C22H(5,𝔽2)×D4711yescharacteristic
1868C22C2×#1309406911yescharacteristic
1869C22C2×#1309406911yescharacteristic
1870C22C2×#1309407011yescharacteristic
1871C22#1568995911yescharacteristic
1872C22#1568996011yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—942no—
1885C4—942no—
1886C4—942no—
1887C4—1881no—
1888C4—1881no—
1889C4—1881no—
1890C4—1881no—
1891C4—1881no—
1892C4—1881no—
1893C4—1881no—
1894C4—1881no—
1895C2—24no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—3761no—
1900C2—3761no—
1901C2—3761no—
1902C2—1882no—
1903C2—1882no—
1904C2C2×#1568968911yescharacteristic
1905C2#2025714511yescharacteristic
1906C2#2025715111yescharacteristic
1907C2#2025756511yescharacteristic
1908C2#2025761811yescharacteristic
1909C2#2025790511yescharacteristic
1910C2#2025793611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2416C2
hypercenter#2416D47
hypocenterC47#36739
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. C2×#15689681C2semidirect
3. #20251731C2semidirect
4. #20251685C2semidirect
5. #20250245C2semidirect
6. #20250239C2semidirect
7. #20250137C2semidirect
8. #20250131C2semidirect
9. #20250082C2semidirect
10. #20250076C2semidirect
11. #20250037C2semidirect
12. #20250031C2semidirect
13. #20249786C2semidirect
14. #20249780C2semidirect
15. #20249718C2semidirect
16. #20249716C2semidirect
17. #20249616C2semidirect
18. #20249611C2semidirect
19. #20249604C2semidirect
20. #20249600C2semidirect
21. #20249492C2semidirect
22. #20249318C2semidirect
23. #20248350C2semidirect
24. #20248344C2semidirect
25. #20246822C2semidirect
26. #20246761C2semidirect
27. #20246761C2semidirect
28. #20246759C2semidirect
29. #20246759C2semidirect
30. C2×#15689013C2semidirect
31. C47×#2416C2semidirect
36. C2×#13094020C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094018C22semidirect
39. C2×#13094012C22semidirect
40. C2×#13094010C22semidirect
41. C2×#13094010C22semidirect
44. C2×#13094009C22semidirect
45. C2×#13094007C22semidirect
48. C2×#13094001C22semidirect
49. C2×#13093999C22semidirect
51. C2×#13093998C22semidirect
52. C2×#13093998C22semidirect
53. C2×#13093998C22semidirect
54. C2×#13093997C22semidirect
57. C2×#13093996C22semidirect
58. C2×#13093996C22semidirect
59. C2×#13093996C22semidirect
60. C2×#13093996C22semidirect
61. C2×#13093996C22semidirect
65. C2×#13093994C22semidirect
66. C2×#13093994C22semidirect
70. C2×#13093992C22semidirect
71. C2×#13093992C22semidirect
72. C2×C4×C22⋊D47C22semidirect
76. C22×C4×Dic47C22semidirect
77. #15689065C22semidirect
78. #15689064C22semidirect
79. #15689059C22semidirect
80. #15689059C22semidirect
81. #15689058C22semidirect
82. #15689058C22semidirect
83. #15689054C22semidirect
84. #15689053C22semidirect
85. #15689052C22semidirect
86. #15689051C22semidirect
87. #15689049C22semidirect
88. #15689048C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
95. #15689040C22semidirect
96. #15689040C22semidirect
97. #15689040C22semidirect
100. #15689039C22semidirect
103. #15689038C22semidirect
104. #15689037C22semidirect
105. #15689036C22semidirect
106. #15689035C22semidirect
113. #15689032C22semidirect
114. #15689032C22semidirect
115. #15689032C22semidirect
118. #15689031C22semidirect
119. #15689031C22semidirect
120. #15689031C22semidirect
121. #15689027C22semidirect
122. #15689026C22semidirect
123. #15689024C22semidirect
124. #15689024C22semidirect
125. #15689023C22semidirect
126. #15689023C22semidirect
127. #15689023C22semidirect
128. #15689023C22semidirect
129. #15689023C22semidirect
130. #15689022C22semidirect
131. #15689016C22semidirect
132. #15689015C22semidirect
133. #15689014C22semidirect
134. #15689014C22semidirect
135. #15689013C22semidirect
136. #15689013C22semidirect
137. #15689013C22semidirect
138. #15689013C22semidirect
139. #15689013C22semidirect
140. #15689013C22semidirect
141. #15689013C22semidirect
142. #15689013C22semidirect
143. #15689012C22semidirect
144. #15689011C22semidirect
145. #15689011C22semidirect
146. #15689011C22semidirect
147. #15689003C22semidirect
148. #15689003C22semidirect
149. #15689002C22semidirect
150. #15689002C22semidirect
151. #15689002C22semidirect
152. #15689002C22semidirect
153. #15689001C22semidirect
154. #15689001C22semidirect
155. #15689000C22semidirect
156. #15689000C22semidirect
157. #15688999C22semidirect
158. #15688999C22semidirect
159. #15688999C22semidirect
160. #15688999C22semidirect
161. #15688997C22semidirect
162. #15688997C22semidirect
163. #15688994C22semidirect
164. #15688994C22semidirect
165. #15688992C22semidirect
166. #15688987C22semidirect
167. #15688980C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. #15688978C22semidirect
172. C2×C47⋊#95C22semidirect
173. C2×C47⋊#95C22semidirect
175. C2×#121×C47C22semidirect
176. C2×#121×C47C22semidirect
177. C2×#121×C47C22semidirect
178. C2×C4×D4×C47C22semidirect
179. C22×C4⋊C4×C47C22semidirect
180. C47×#396C22semidirect
181. C47×#396C22semidirect
182. C47×#394C22semidirect
183. C47×#394C22semidirect
184. C47×#390C22semidirect
185. C47×#389C22semidirect
186. C47×#386C22semidirect
187. C47×#386C22semidirect
188. C47×#380C22semidirect
291. C2×(C2×D47)⋊C4D4semidirect
965. #2416D47semidirect
1018. C2×#121C2×D47semidirect
1019. C2×#121C2×D47semidirect
1020. C2×#121C2×D47semidirect
1032. C2×C4×D4C2×D47semidirect
1033. C22×C4⋊C4C2×D47semidirect
1052. #396C2×D47semidirect
1053. #396C2×D47semidirect
1068. #394C2×D47semidirect
1069. #394C2×D47semidirect
1095. #390C2×D47semidirect
1097. #389C2×D47semidirect
1128. #386C2×D47semidirect
1129. #386C2×D47semidirect
1137. #380C2×D47semidirect
1144. C47#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
C2×#156896812
#202517312
#202516852
#202502452
#202502392
#202501372
#202501312
#202500822
#202500762
#202500372
#202500312
#202497862
#202497802
#202497182
#202497162
#202496162
#202496112
#202496042
#202496002
#202494922
#202493182
#202483502
#202483442
#202468222
#202467612
#202467592
C2×#156890132
C47×#24162
#3673947