Finite Group Databasebeta

← #26423688

Subgroups — #26423688

Order 12032.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689748C211yesmaximal, characteristic, complemented
2C2×#15689705C211yesmaximal, characteristic
3#20251739C211yesmaximal, characteristic, complemented
4#20251688C211yesmaximal, characteristic, complemented
5#20249993C211yesmaximal, characteristic, complemented
6#20249990C211yesmaximal, characteristic, complemented
7#20249958C211yesmaximal, characteristic, complemented
8#20249955C211yesmaximal, characteristic, complemented
9#20249837C211yesmaximal, characteristic, complemented
10#20249836C211yesmaximal, characteristic, complemented
11#20249815C211yesmaximal, characteristic, complemented
12#20249812C211yesmaximal, characteristic, complemented
13#20249737C211yesmaximal, characteristic, complemented
14#20249727C211yesmaximal, characteristic, complemented
15#20249725C211yesmaximal, characteristic, complemented
16#20249676C211yesmaximal, characteristic, complemented
17#20249671C211yesmaximal, characteristic, complemented
18#20249633C211yesmaximal, characteristic, complemented
19#20249632C211yesmaximal, characteristic, complemented
20#20249503C211yesmaximal, characteristic, complemented
21#20249319C211yesmaximal, characteristic, complemented
22#20248573C211yesmaximal, characteristic, complemented
23#20248565C211yesmaximal, characteristic, complemented
24#20246835C211yesmaximal, characteristic, complemented
25#20246832C211yesmaximal, characteristic, complemented
26#20246787C211yesmaximal, characteristic, complemented
27#20246780C211yesmaximal, characteristic, complemented
28#20246779C211yesmaximal, characteristic, complemented
29#20246779C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2681C211yesmaximal, characteristic, complemented
32#15689748—28no—
33#15689705—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094019C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094011C2211yescharacteristic
38C2×#13094011C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094005C2211yescharacteristic
44C2×#13094005C2211yescharacteristic
45C2×#13094004C2211yescharacteristic
46C2×#13094004C2211yescharacteristic
47C2×#13094003C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094002C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic
55C2×#13094001C2211yescharacteristic, complemented
56C2×#13094000C2211yescharacteristic
57C2×#13094000C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093995C2211yescharacteristic
60C2×#13093992C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C22×(C2×D47)⋊C4C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689064C2211yescharacteristic, complemented
72#15689063C2211yescharacteristic, complemented
73#15689063C2211yescharacteristic, complemented
74#15689062C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689054C2211yescharacteristic, complemented
81#15689054C2211yescharacteristic, complemented
82#15689054C2211yescharacteristic, complemented
83#15689053C2211yescharacteristic, complemented
84#15689052C2211yescharacteristic
85#15689052C2211yescharacteristic
86#15689051C2211yescharacteristic
87#15689051C2211yescharacteristic
88#15689051C2211yescharacteristic, complemented
89#15689051C2211yescharacteristic, complemented
90#15689049C2211yescharacteristic
91#15689049C2211yescharacteristic
92#15689048C2211yescharacteristic
93#15689048C2211yescharacteristic
94#15689046C2211yescharacteristic, complemented
95#15689046C2211yescharacteristic, complemented
96#15689046C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689044C2211yescharacteristic, complemented
99#15689044C2211yescharacteristic, complemented
100#15689043C2211yescharacteristic, complemented
101#15689043C2211yescharacteristic, complemented
102#15689042C2211yescharacteristic, complemented
103#15689039C2211yescharacteristic
104#15689039C2211yescharacteristic
105#15689038C2211yescharacteristic
106#15689038C2211yescharacteristic
107#15689037C2211yescharacteristic
108#15689037C2211yescharacteristic
109#15689037C2211yescharacteristic, complemented
110#15689035C2211yescharacteristic, complemented
111#15689035C2211yescharacteristic, complemented
112#15689035C2211yescharacteristic, complemented
113#15689030C2211yescharacteristic, complemented
114#15689029C2211yescharacteristic, complemented
115#15689027C2211yescharacteristic, complemented
116#15689027C2211yescharacteristic, complemented
117#15689027C2211yescharacteristic, complemented
118#15689022C2211yescharacteristic, complemented
119#15689021C2211yescharacteristic, complemented
120#15689018C2211yescharacteristic, complemented
121#15689018C2211yescharacteristic, complemented
122#15689018C2211yescharacteristic, complemented
123#15689017C2211yescharacteristic
124#15689016C2211yescharacteristic
125#15689016C2211yescharacteristic, complemented
126#15689016C2211yescharacteristic, complemented
127#15689016C2211yescharacteristic, complemented
128#15689016C2211yescharacteristic, complemented
129#15689015C2211yescharacteristic
130#15689014C2211yescharacteristic
131#15689013C2211yescharacteristic
132#15689012C2211yescharacteristic
133#15689011C2211yescharacteristic
134#15689008C2211yescharacteristic, complemented
135#15689005C2211yescharacteristic, complemented
136#15689005C2211yescharacteristic, complemented
137#15689004C2211yescharacteristic, complemented
138#15689003C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688998C2211yescharacteristic
150#15688996C2211yescharacteristic
151#15688996C2211yescharacteristic, complemented
152#15688995C2211yescharacteristic, complemented
153#15688995C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688992C2211yescharacteristic, complemented
157#15688988C2211yescharacteristic, complemented
158#15688986C2211yescharacteristic
159#15688985C2211yescharacteristic
160#15688985C2211yescharacteristic
161#15688984C2211yescharacteristic
162#15688983C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic
164#15688982C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic
167#15688981C2211yescharacteristic, complemented
168#15688980C2211yescharacteristic
169#15688980C2211yescharacteristic
170#15688980C2211yescharacteristic
171#15688980C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C2×C22⋊Q8×C47C2211yescharacteristic, complemented
177C2×#121×C47C2211yescharacteristic
178C47×#398C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#394C2211yescharacteristic, complemented
183C47×#393C2211yescharacteristic, complemented
184C47×#390C2211yescharacteristic, complemented
185C47×#389C2211yescharacteristic, complemented
186C47×#388C2211yescharacteristic
187C47×#386C2211yescharacteristic
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094023—42no—
209#13094019—24no—
210#13094017—24no—
211#13094011—24no—
212#13094011—42no—
213#13094010—24no—
214#13094007—24no—
215#13094006—42no—
216#13094006—42no—
217#13094005—24no—
218#13094005—42no—
219#13094004—24no—
220#13094004—24no—
221#13094003—24no—
222#13094002—24no—
223#13094002—24no—
224#13094002—24no—
225#13094002—24no—
226#13094002—24no—
227#13094001—24no—
228#13094001—24no—
229#13094001—42no—
230#13094000—24no—
231#13094000—24no—
232#13093996—24no—
233#13093995—24no—
234#13093992—24no—
235#13093992—24no—
236C4×C22⋊D47—24no—
237(C22⋊D47)⋊C4—24no—
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C4⋊C4×D47—42no—
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4—24no—
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
302C22⋊C4×D47—24no—
303C22⋊C4×D47—42no—
304C22⋊C4×D47—42no—
305C22⋊C4×D47D418yes—
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C42×D47—42no—
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C22×Q8×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#123×C47—42no—
353C22⋊Q8×C47—24no—
354C22⋊Q8×C47—42no—
355#121×C47—24no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2×D414yes—
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×Q8×C47—22no—
398C2×Q8×C47—41no—
399C2×Q8×C47—41no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47C2×D414yes—
482C2×C4×D47C2×D414yes—
483C2×Dic94—22no—
484C2×Dic94—22no—
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94—41no—
492C2×Dic94—41no—
493C2×Dic94—41no—
494C2×Dic94—41no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47C2×D414yes—
517C42×C47—41no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47C2×D414yes—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4C2×D414yes—
550(C2×D47)⋊C4C2×D414yes—
551C4⋊Dic47—22no—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580C4×Dic47—22no—
581C4×Dic47—22no—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—41no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47C22×D412yes—
606C23×C47C2511yescharacteristic
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—28no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—82no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47C22×D412yes—
625C22×D47C22×D412yes—
626C22×D472−1+412yes—
627C22×D472−1+412yes—
628Q8×C47—82no—
629D4×C47—82no—
630D4×C47—82no—
631D4×C47—82no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—82no—
666C2×C4×C47—82no—
667C2×C4×C47C22×D412yes—
668C2×C4×C47C22×D412yes—
669C2×C4×C47H(5,𝔽2)12yes—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—82no—
714C2×Dic47—82no—
715C2×Dic47C22×D412yes—
716C2×Dic47C22×D412yes—
717C2×Dic47H(5,𝔽2)12yes—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—82no—
723C4×D47—82no—
724C4×D47—82no—
725C4×D47—82no—
726Dic94—82no—
727Dic94—82no—
728Dic94—82no—
729Dic94—82no—
730#36740—471nomaximal, Sylow
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47C23×D411yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×H(5,𝔽2)11yescharacteristic
755C22×C47C2×2−1+411yescharacteristic
756C22×C47C2×2−1+411yescharacteristic
757C22×C47#58511yescharacteristic
758C22×C47#58511yescharacteristic
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—88no—
773C2×D47#53614yes—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800C2×#543—471no—
801C2×#538—471no—
802#2857—471no—
803#2850—471no—
804#2700—471no—
805#2700—471no—
806#2698—471no—
807#2698—471no—
808#2689—471no—
809#2689—471no—
810#2687—471no—
811#2687—471no—
812#2681—471no—
813#2681D4711yescharacteristic, complemented
814#2680—471no—
815#2680—471no—
816#2674—471no—
817#2674—471no—
818#2672—471no—
819#2672—471no—
820#2659—471no—
821#2639—471no—
822#2564—471no—
823#2564—471no—
824#2417—471no—
825#2417—471no—
826#2412—471no—
827#2412—471no—
828#2412—471no—
829#2412—471no—
830C2×#388—471no—
831C2×C47—42no—
832C2×C47—81no—
833C2×C47—81no—
834C2×C47C2×#53611yescharacteristic
835C2×C47#349611yescharacteristic
836C2×C47#349611yescharacteristic
837C2×C47#353511yescharacteristic
838C2×C47#353611yescharacteristic
839C2×C47#356111yescharacteristic
840C2×C47#356411yescharacteristic
841D47—24no—
842D47—42no—
843#543—948no—
844#538—948no—
845C2×C4⋊Q8—471no—
846C2×#126—471no—
847C2×#126—471no—
848C2×#124—471no—
849C2×#124—471no—
850C2×#124—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123C2×D4711yescharacteristic
857C2×C22⋊Q8—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×C22⋊Q8—471no—
865C2×C22⋊Q8—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8C2×D4711yescharacteristic
871C2×C22⋊Q8C2×D4711yescharacteristic, complemented
872C2×#121—471no—
873C2×#121—471no—
874C2×#121C2×D4711yescharacteristic
875C2×#120—471no—
876C2×#120—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C22×C4⋊C4—471no—
880C22×C22⋊C4—471no—
881C22×C22⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4—471no—
884C22×C22⋊C4—471no—
885C22×C42—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400—471no—
890#399—471no—
891#399—471no—
892#398—471no—
893#398—471no—
894#398—471no—
895#398—471no—
896#398—471no—
897#398—471no—
898#398—471no—
899#398C2×D4711yescharacteristic, complemented
900#397—471no—
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397—471no—
907#397—471no—
908#397—471no—
909#397—471no—
910#396—471no—
911#396—471no—
912#396—471no—
913#396C2×D4711yescharacteristic, complemented
914#395—471no—
915#395—471no—
916#395—471no—
917#395—471no—
918#395—471no—
919#395—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394C2×D4711yescharacteristic
928#394C2×D4711yescharacteristic
929#394C2×D4711yescharacteristic, complemented
930#393—471no—
931#393—471no—
932#393—471no—
933#393C2×D4711yescharacteristic, complemented
934#391—471no—
935#391—471no—
936#391—471no—
937#391—471no—
938#391—471no—
939#390C2×D4711yescharacteristic, complemented
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#389—471no—
945#389C2×D4711yescharacteristic, complemented
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388C2×D4711yescharacteristic
958#387—471no—
959#387—471no—
960#387—471no—
961#387—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386C2×D4711yescharacteristic
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385C2×D4711yescharacteristic, complemented
982#384—471no—
983#382—471no—
984#381—471no—
985#381—471no—
986#381—471no—
987#381—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998C2×#95—471no—
999C2×#95—471no—
1000C47#3674011yescharacteristic, complemented, Sylow
1001C25—471no—
1002C22×Q8—471no—
1003C22×Q8—471no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×Q8C22×D4711yescharacteristic
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4C22×D4711yescharacteristic
1012C22×D4C22×D4711yescharacteristic
1013C22×D4C22×D4711yescharacteristic
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026C4⋊Q8—1882no—
1027#126—944no—
1028#126—944no—
1029#124—944no—
1030#124—944no—
1031#124—1882no—
1032#123—42no—
1033#123—944no—
1034#123—944no—
1035#123—1882no—
1036#123—1882no—
1037#123—1882no—
1038C22⋊Q8—24no—
1039C22⋊Q8—42no—
1040C22⋊Q8—944no—
1041C22⋊Q8—944no—
1042C22⋊Q8—944no—
1043C22⋊Q8—944no—
1044C22⋊Q8—944no—
1045C22⋊Q8—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—944no—
1052C22⋊Q8—1882no—
1053#121—24no—
1054#121—944no—
1055#121—944no—
1056#120—944no—
1057#120—944no—
1058C4×D4—944no—
1059C4×D4—944no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—1882no—
1090C2×C4⋊C4C22×D4711yescharacteristic
1091C2×C4⋊C4C22×D4711yescharacteristic
1092C2×C4⋊C4C22×D4711yescharacteristic
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—478no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—944no—
1134C2×C22⋊C4—944no—
1135C2×C22⋊C4—1882no—
1136C2×C22⋊C4—1882no—
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—1882no—
1156C2×C42C22×D4711yescharacteristic
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197C24—471no—
1198C24—471no—
1199C24—474no—
1200C24—942no—
1201C24—942no—
1202C24—1881no—
1203C24—1881no—
1204C24—1881no—
1205C24—1881no—
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C24C23×D4711yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—942no—
1213C2×Q8—942no—
1214C2×Q8—942no—
1215C2×Q8—942no—
1216C2×Q8—1881no—
1217C2×Q8—1881no—
1218C2×Q8—1881no—
1219C2×Q8—1881no—
1220C2×Q8—1881no—
1221C2×Q8—1881no—
1222C2×Q8—1881no—
1223C2×Q8—1881no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—474no—
1255C22×C4—474no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—474no—
1358C22⋊C4—474no—
1359C22⋊C4—474no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4D4×D4714yes—
1391C42—41no—
1392C42—942no—
1393C42—942no—
1394C42—942no—
1395C42—942no—
1396C42—1881no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—472no—
1418C23—472no—
1419C23—472no—
1420C23—472no—
1421C23—948no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23C2×D4×D4712yes—
1439C23C24×D4711yescharacteristic
1440Q8—82no—
1441Q8—3762no—
1442Q8—3762no—
1443Q8—3762no—
1444Q8—3762no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—3762no—
1449D4—3762no—
1450D4—1884no—
1451D4—1884no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—472no—
1488C2×C4—472no—
1489C2×C4—472no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—3762no—
1530C2×C4—3762no—
1531C2×C4—3762no—
1532C2×C4—3762no—
1533C2×C4—3762no—
1534C2×C4—3762no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4C2×D4×D4712yes—
1540C2×C4C2×D4×D4712yes—
1541C2×C4#1309406912yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—474no—
1564C22—942no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—3768no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22C22×D4×D4711yescharacteristic
1579C22H(5,𝔽2)×D4711yescharacteristic
1580C22C2×#1309406911yescharacteristic
1581C222−1+4×D4711yescharacteristic
1582C222−1+4×D4711yescharacteristic
1583C22#1568995811yescharacteristic
1584C22#1568995911yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—942no—
1598C4—942no—
1599C4—942no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—944no—
1615C2—1882no—
1616C2#536×D4711yescharacteristic
1617C2#2025714411yescharacteristic
1618C2#2025714811yescharacteristic
1619C2#2025758811yescharacteristic
1620C2#2025760511yescharacteristic
1621C2#2025795111yescharacteristic
1622C2#2025800511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2681C2
prime radicalC2×#15689705C2
hypercenter#2681D47
hypocenterC47#36740
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#15689748C2semidirect
3. #20251739C2semidirect
4. #20251688C2semidirect
5. #20249993C2semidirect
6. #20249990C2semidirect
7. #20249958C2semidirect
8. #20249955C2semidirect
9. #20249837C2semidirect
10. #20249836C2semidirect
11. #20249815C2semidirect
12. #20249812C2semidirect
13. #20249737C2semidirect
14. #20249727C2semidirect
15. #20249725C2semidirect
16. #20249676C2semidirect
17. #20249671C2semidirect
18. #20249633C2semidirect
19. #20249632C2semidirect
20. #20249503C2semidirect
21. #20249319C2semidirect
22. #20248573C2semidirect
23. #20248565C2semidirect
24. #20246835C2semidirect
25. #20246832C2semidirect
26. #20246787C2semidirect
27. #20246780C2semidirect
28. #20246779C2semidirect
29. #20246779C2semidirect
30. #388×D47C2semidirect
31. C47×#2681C2semidirect
34. C2×#13094023C22semidirect
38. C2×#13094011C22semidirect
55. C2×#13094001C22semidirect
71. #15689064C22semidirect
72. #15689063C22semidirect
73. #15689063C22semidirect
74. #15689062C22semidirect
75. #15689059C22semidirect
76. #15689059C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689056C22semidirect
80. #15689054C22semidirect
81. #15689054C22semidirect
82. #15689054C22semidirect
83. #15689053C22semidirect
88. #15689051C22semidirect
89. #15689051C22semidirect
94. #15689046C22semidirect
95. #15689046C22semidirect
96. #15689046C22semidirect
97. #15689044C22semidirect
98. #15689044C22semidirect
99. #15689044C22semidirect
100. #15689043C22semidirect
101. #15689043C22semidirect
102. #15689042C22semidirect
109. #15689037C22semidirect
110. #15689035C22semidirect
111. #15689035C22semidirect
112. #15689035C22semidirect
113. #15689030C22semidirect
114. #15689029C22semidirect
115. #15689027C22semidirect
116. #15689027C22semidirect
117. #15689027C22semidirect
118. #15689022C22semidirect
119. #15689021C22semidirect
120. #15689018C22semidirect
121. #15689018C22semidirect
122. #15689018C22semidirect
125. #15689016C22semidirect
126. #15689016C22semidirect
127. #15689016C22semidirect
128. #15689016C22semidirect
134. #15689008C22semidirect
135. #15689005C22semidirect
136. #15689005C22semidirect
137. #15689004C22semidirect
151. #15688996C22semidirect
152. #15688995C22semidirect
153. #15688995C22semidirect
156. #15688992C22semidirect
157. #15688988C22semidirect
162. #15688983C22semidirect
167. #15688981C22semidirect
176. C2×C22⋊Q8×C47C22semidirect
178. C47×#398C22semidirect
179. C47×#396C22semidirect
182. C47×#394C22semidirect
183. C47×#393C22semidirect
184. C47×#390C22semidirect
185. C47×#389C22semidirect
188. C47×#385C22semidirect
813. #2681D47semidirect
871. C2×C22⋊Q8C2×D47semidirect
899. #398C2×D47semidirect
913. #396C2×D47semidirect
929. #394C2×D47semidirect
933. #393C2×D47semidirect
939. #390C2×D47semidirect
945. #389C2×D47semidirect
981. #385C2×D47semidirect
1000. C47#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#156897482
C2×#156897052
#202517392
#202516882
#202499932
#202499902
#202499582
#202499552
#202498372
#202498362
#202498152
#202498122
#202497372
#202497272
#202497252
#202496762
#202496712
#202496332
#202496322
#202495032
#202493192
#202485732
#202485652
#202468352
#202468322
#202467872
#202467802
#202467792
#388×D472
C47×#26812
#3674047