Finite Group Databasebeta

← #26423259

Subgroups — #26423259

Order 12032.

2490 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3#20251674C211yesmaximal, characteristic, complemented
4#20251667C211yesmaximal, characteristic
5#20250052C211yesmaximal, characteristic, complemented
6#20250050C211yesmaximal, characteristic, complemented
7#20250044C211yesmaximal, characteristic, complemented
8#20250042C211yesmaximal, characteristic, complemented
9#20250023C211yesmaximal, characteristic, complemented
10#20250021C211yesmaximal, characteristic, complemented
11#20250011C211yesmaximal, characteristic, complemented
12#20250009C211yesmaximal, characteristic, complemented
13#20249761C211yesmaximal, characteristic, complemented
14#20249760C211yesmaximal, characteristic, complemented
15#20249758C211yesmaximal, characteristic, complemented
16#20249757C211yesmaximal, characteristic, complemented
17#20249742C211yesmaximal, characteristic, complemented
18#20249740C211yesmaximal, characteristic, complemented
19#20249734C211yesmaximal, characteristic, complemented
20#20249206C211yesmaximal, characteristic, complemented
21#20249129C211yesmaximal, characteristic, complemented
22#20248276C211yesmaximal, characteristic, complemented
23#20248273C211yesmaximal, characteristic, complemented
24#20246794C211yesmaximal, characteristic, complemented
25#20246790C211yesmaximal, characteristic, complemented
26#20246770C211yesmaximal, characteristic, complemented
27#20246766C211yesmaximal, characteristic, complemented
28#20246749C211yesmaximal, characteristic, complemented
29#20246746C211yesmaximal, characteristic, complemented
30#20246003C211yesmaximal, characteristic, complemented
31C47×#2681C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689716—28no—
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic
40C2×#13094006C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094005C2211yescharacteristic, complemented
44C2×#13094004C2211yescharacteristic
45C2×#13094003C2211yescharacteristic
46C2×#13094003C2211yescharacteristic, complemented
47C2×#13094003C2211yescharacteristic, complemented
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic
55C2×#13094001C2211yescharacteristic, complemented
56C2×#13094001C2211yescharacteristic, complemented
57C2×#13094001C2211yescharacteristic, complemented
58C2×#13094000C2211yescharacteristic
59C22⋊Q8×D47—28no—
60C2×#13093995C2211yescharacteristic
61C2×#13093995C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×#13093992C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C2×#13093982C2211yescharacteristic
67C2×#13093981C2211yescharacteristic
68C2×C4⋊C4×D47C2211yescharacteristic
69C2×C4⋊C4×D47C2211yescharacteristic
70C2×C4⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689055C2211yescharacteristic, complemented
80#15689055C2211yescharacteristic, complemented
81#15689053C2211yescharacteristic, complemented
82#15689053C2211yescharacteristic, complemented
83#15689053C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689046C2211yescharacteristic
88#15689046C2211yescharacteristic
89#15689046C2211yescharacteristic, complemented
90#15689046C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689046C2211yescharacteristic, complemented
96#15689045C2211yescharacteristic
97#15689045C2211yescharacteristic
98#15689045C2211yescharacteristic
99#15689044C2211yescharacteristic, complemented
100#15689044C2211yescharacteristic, complemented
101#15689043C2211yescharacteristic, complemented
102#15689043C2211yescharacteristic, complemented
103#15689043C2211yescharacteristic, complemented
104#15689042C2211yescharacteristic, complemented
105#15689039C2211yescharacteristic
106#15689039C2211yescharacteristic
107#15689038C2211yescharacteristic
108#15689038C2211yescharacteristic
109#15689037C2211yescharacteristic
110#15689037C2211yescharacteristic
111#15689037C2211yescharacteristic, complemented
112#15689035C2211yescharacteristic, complemented
113#15689035C2211yescharacteristic, complemented
114#15689035C2211yescharacteristic, complemented
115#15689030C2211yescharacteristic, complemented
116#15689028C2211yescharacteristic, complemented
117#15689027C2211yescharacteristic, complemented
118#15689027C2211yescharacteristic, complemented
119#15689026C2211yescharacteristic
120#15689023C2211yescharacteristic
121#15689023C2211yescharacteristic
122#15689022C2211yescharacteristic, complemented
123#15689022C2211yescharacteristic, complemented
124#15689021C2211yescharacteristic, complemented
125#15689021C2211yescharacteristic, complemented
126#15689020C2211yescharacteristic, complemented
127#15689020C2211yescharacteristic, complemented
128#15689020C2211yescharacteristic, complemented
129#15689019C2211yescharacteristic, complemented
130#15689018C2211yescharacteristic, complemented
131#15689018C2211yescharacteristic, complemented
132#15689018C2211yescharacteristic, complemented
133#15689017C2211yescharacteristic
134#15689017C2211yescharacteristic, complemented
135#15689016C2211yescharacteristic
136#15689016C2211yescharacteristic
137#15689016C2211yescharacteristic, complemented
138#15689015C2211yescharacteristic
139#15689015C2211yescharacteristic
140#15689014C2211yescharacteristic
141#15689012C2211yescharacteristic
142#15689011C2211yescharacteristic
143#15689011C2211yescharacteristic, complemented
144#15689003C2211yescharacteristic
145#15689003C2211yescharacteristic
146#15689003C2211yescharacteristic
147#15689002C2211yescharacteristic
148#15689000C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic
151#15688999C2211yescharacteristic
152#15688999C2211yescharacteristic
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic
155#15688997C2211yescharacteristic
156#15688997C2211yescharacteristic
157#15688997C2211yescharacteristic
158#15688996C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic
161#15688994C2211yescharacteristic
162#15688985C2211yescharacteristic
163#15688985C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic
167#15688982C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688980C2211yescharacteristic
170#15688980C2211yescharacteristic
171#15688980C2211yescharacteristic
172#15688978C2211yescharacteristic
173#15688978C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic, complemented
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
185C47×#389C2211yescharacteristic, complemented
186C47×#388C2211yescharacteristic, complemented
187C47×#386C2211yescharacteristic
188C47×#385C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C2×Q8×D47—24no—
195C2×Q8×D47—42no—
196C2×Q8×D47—42no—
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—24no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214#13094017—24no—
215#13094017—24no—
216#13094015—24no—
217#13094014—24no—
218#13094006—24no—
219#13094006—24no—
220#13094006—42no—
221#13094006—42no—
222#13094005—24no—
223#13094004—24no—
224#13094003—24no—
225#13094003—24no—
226#13094003—42no—
227#13094002—24no—
228#13094002—24no—
229#13094002—24no—
230#13094002—42no—
231#13094001—24no—
232#13094001—24no—
233#13094001—24no—
234#13094001—42no—
235#13094001—42no—
236#13094001—42no—
237#13094000—24no—
238#13093995—24no—
239#13093995—42no—
240#13093992—42no—
241#13093992—42no—
242C4×C22⋊D47—24no—
243(C22⋊D47)⋊C4—24no—
244#13093982—42no—
245#13093981—42no—
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×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×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C2×Dic47⋊C4C2311yescharacteristic
283C4⋊C4×D47—24no—
284C4⋊C4×D47—24no—
285C4⋊C4×D47D418yescomplemented
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×C22⋊Dic47C2311yescharacteristic
300C2×C22⋊Dic47C2311yescharacteristic
301C2×C22⋊Dic47C2311yescharacteristic
302C2×C22⋊Dic47C2311yescharacteristic
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
319C22⋊C4×D47—24no—
320C22⋊C4×D47—24no—
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×Q8×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358#123×C47—24no—
359C22⋊Q8×C47—24no—
360C22⋊Q8×C47—42no—
361#121×C47—42no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×Q8×C47—22no—
404C2×Q8×C47—22no—
405C2×Q8×C47—41no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465Q8×D47—416no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—416no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47C2×D414yes—
489C2×C4×D47C2×D414yes—
490C2×C4×D47C2×D414yes—
491C2×Dic94—22no—
492C2×Dic94—22no—
493C2×Dic94—22no—
494C2×Dic94—22no—
495C2×Dic94—22no—
496C2×Dic94—22no—
497C2×Dic94—22no—
498C2×Dic94—41no—
499C2×Dic94—41no—
500C2×Dic94—41no—
501C2×Dic94—41no—
502C2×Dic94—41no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—22no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C4⋊C4×C47—41no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47C2×D414yes—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C42×C47—41no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559C4⋊Dic47—22no—
560C4⋊Dic47—22no—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571C4⋊Dic47C2×D414yes—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4C2×D414yes—
595Dic47⋊C4C2×D414yes—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—41no—
599C4×Dic47—41no—
600C4×Dic47—41no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C472−1+412yes—
622C23×C47C2511yescharacteristic
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—28no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—44no—
635C22×D47—44no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47C22×D412yes—
641C22×D47H(5,𝔽2)12yes—
642C22×D472−1+412yes—
643C22×D472−1+412yes—
644Q8×C47—44no—
645D4×C47—82no—
646D4×C47—82no—
647D4×C47—82no—
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—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—44no—
681C2×C4×C47—82no—
682C2×C4×C47C22×D412yes—
683C2×C4×C47C22×D412yes—
684C2×C4×C47C22×D412yes—
685C2×C4×C47H(5,𝔽2)12yes—
686C22⋊D47—44no—
687C22⋊D47—44no—
688C22⋊D47—82no—
689C22⋊D47—82no—
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—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—44no—
729C2×Dic47—82no—
730C2×Dic47C22×D412yes—
731C2×Dic47C22×D412yes—
732C2×Dic47C22×D412yes—
733C2×Dic47H(5,𝔽2)12yes—
734C4×D47—28no—
735C4×D47—28no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742Dic94—44no—
743Dic94—44no—
744Dic94—44no—
745Dic94—82no—
746#36719—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47C23×D411yescharacteristic
769C22×C47C2×H(5,𝔽2)11yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×2−1+411yescharacteristic
773C22×C47C2×2−1+411yescharacteristic
774C22×C47C2×2−1+411yescharacteristic
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—416no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47#53714yes—
790C4×C47—22no—
791C4×C47—22no—
792C4×C47—22no—
793C4×C47—22no—
794C4×C47—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802Dic47—22no—
803Dic47—22no—
804Dic47—22no—
805Dic47—22no—
806Dic47—41no—
807Dic47—41no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816C2×#539—471no—
817C22×C22⋊Q8—471no—
818#2848—471no—
819#2847—471no—
820#2704—471no—
821#2704—471no—
822#2704—471no—
823#2704—471no—
824#2702—471no—
825#2702—471no—
826#2702—471no—
827#2702—471no—
828#2683—471no—
829#2683—471no—
830#2683—471no—
831#2683—471no—
832#2681—471no—
833#2681—471no—
834#2681—471no—
835#2681D4711yescharacteristic, complemented
836#2627—471no—
837#2618—471no—
838#2534—471no—
839#2534—471no—
840#2413—471no—
841#2413—471no—
842#2411—471no—
843#2411—471no—
844#2409—471no—
845#2409—471no—
846#2316—471no—
847C2×C47—42no—
848C2×C47—81no—
849C2×C47—81no—
850C2×C47C2×#53711yescharacteristic
851C2×C47#348411yescharacteristic
852C2×C47#348611yescharacteristic
853C2×C47#353611yescharacteristic
854C2×C47#353611yescharacteristic
855C2×C47#353811yescharacteristic
856C2×C47#353811yescharacteristic
857D47—24no—
858D47—42no—
859C23×Q8—471no—
860C24×C4—471no—
861#539—948no—
862C2×#126—471no—
863C2×#126—471no—
864C2×#125—471no—
865C2×#125—471no—
866C2×#123—471no—
867C2×#123—471no—
868C2×#123—471no—
869C2×#123—471no—
870C2×#123—471no—
871C2×#123C2×D4711yescharacteristic, complemented
872C2×C22⋊Q8—471no—
873C2×C22⋊Q8—471no—
874C2×C22⋊Q8—471no—
875C2×C22⋊Q8—471no—
876C2×C22⋊Q8—471no—
877C2×C22⋊Q8—471no—
878C2×C22⋊Q8—471no—
879C2×C22⋊Q8—471no—
880C2×C22⋊Q8—471no—
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—948no—
888C2×C22⋊Q8C2×D4711yescharacteristic
889C2×C22⋊Q8C2×D4711yescharacteristic, complemented
890C2×#121—471no—
891C2×#121—471no—
892C2×#121C2×D4711yescharacteristic
893C2×#120—471no—
894C2×#120—471no—
895C2×C4×D4—471no—
896C2×C4×D4—471no—
897C2×#117—471no—
898C2×#117—471no—
899C22×C4⋊C4—471no—
900C22×C4⋊C4—471no—
901C22×C4⋊C4—471no—
902C22×C22⋊C4—471no—
903C22×C22⋊C4—471no—
904#400—471no—
905#400—471no—
906#398—471no—
907#398—471no—
908#398—471no—
909#398—471no—
910#398—471no—
911#398—471no—
912#398—471no—
913#398—471no—
914#398—471no—
915#398C2×D4711yescharacteristic, complemented
916#396—471no—
917#396—471no—
918#396—471no—
919#396—471no—
920#396—471no—
921#396—471no—
922#396—471no—
923#396—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#396—471no—
929#396—471no—
930#396—471no—
931#396C2×D4711yescharacteristic, complemented
932#395—471no—
933#395—471no—
934#395—471no—
935#395—471no—
936#395—471no—
937#395—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394—471no—
945#394C2×D4711yescharacteristic
946#394C2×D4711yescharacteristic
947#394C2×D4711yescharacteristic, complemented
948#393—471no—
949#393—471no—
950#393—471no—
951#393C2×D4711yescharacteristic, complemented
952#391—471no—
953#391—471no—
954#391—471no—
955#391—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390C2×D4711yescharacteristic
960#389—471no—
961#389—471no—
962#389—471no—
963#389—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389C2×D4711yescharacteristic, complemented
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388C2×D4711yescharacteristic, complemented
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386C2×D4711yescharacteristic
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385C2×D4711yescharacteristic
1004#381—471no—
1005#381—471no—
1006#380—471no—
1007#380—471no—
1008#380—471no—
1009#380—471no—
1010#380—471no—
1011#380—471no—
1012#380—471no—
1013#380—471no—
1014#379—471no—
1015#379—471no—
1016C47#3671911yescharacteristic, complemented, Sylow
1017C25—471no—
1018C22×Q8—471no—
1019C22×Q8—471no—
1020C22×Q8—471no—
1021C22×Q8—471no—
1022C22×Q8—944no—
1023C22×Q8—1882no—
1024C22×Q8—1882no—
1025C22×Q8C22×D4711yescharacteristic
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4C22×D4711yescharacteristic
1031C22×D4C22×D4711yescharacteristic
1032C22×D4C22×D4711yescharacteristic
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—944no—
1044C23×C4—1882no—
1045C23×C4—1882no—
1046C23×C4C22×D4711yescharacteristic
1047C23×C4C22×D4711yescharacteristic
1048#126—944no—
1049#126—944no—
1050#125—944no—
1051#125—944no—
1052#123—24no—
1053#123—944no—
1054#123—944no—
1055#123—944no—
1056#123—1882no—
1057#123—1882no—
1058C22⋊Q8—24no—
1059C22⋊Q8—42no—
1060C22⋊Q8—944no—
1061C22⋊Q8—944no—
1062C22⋊Q8—944no—
1063C22⋊Q8—944no—
1064C22⋊Q8—944no—
1065C22⋊Q8—944no—
1066C22⋊Q8—944no—
1067C22⋊Q8—944no—
1068C22⋊Q8—944no—
1069C22⋊Q8—944no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073C22⋊Q8—1882no—
1074C22⋊Q8—1882no—
1075#121—42no—
1076#121—944no—
1077#121—1882no—
1078#120—1882no—
1079#120—1882no—
1080C4×D4—944no—
1081C4×D4—944no—
1082#117—1882no—
1083#117—1882no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—478no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—944no—
1123C2×C4⋊C4—944no—
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
1130C2×C4⋊C4C22×D4711yescharacteristic
1131C2×C4⋊C4C22×D4711yescharacteristic
1132C2×C4⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—944no—
1167C2×C22⋊C4—944no—
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42C22×D4711yescharacteristic
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219C24—471no—
1220C24—471no—
1221C24—942no—
1222C24—942no—
1223C24—942no—
1224C24—942no—
1225C24—942no—
1226C24—1881no—
1227C24—1881no—
1228C24C23×D4711yescharacteristic
1229C24C23×D4711yescharacteristic
1230C24C23×D4711yescharacteristic
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—942no—
1235C2×Q8—942no—
1236C2×Q8—942no—
1237C2×Q8—942no—
1238C2×Q8—942no—
1239C2×Q8—942no—
1240C2×Q8—942no—
1241C2×Q8—1881no—
1242C2×Q8—1881no—
1243C2×Q8—1881no—
1244C2×Q8—1881no—
1245C2×Q8—1881no—
1246C2×Q8—18816no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—942no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—474no—
1279C22×C4—474no—
1280C22×C4—474no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—18816no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—474no—
1340C4⋊C4—474no—
1341C4⋊C4—474no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C4⋊C4—1881no—
1363C4⋊C4—1881no—
1364C4⋊C4—1881no—
1365C4⋊C4—1881no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C4⋊C4—1881no—
1375C4⋊C4—1881no—
1376C4⋊C4D4×D4714yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C42—41no—
1424C42—942no—
1425C42—942no—
1426C42—1881no—
1427C42—1881no—
1428C42—1881no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—472no—
1450C23—472no—
1451C23—472no—
1452C23—472no—
1453C23—948no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—1884no—
1465C23—1884no—
1466C23—1884no—
1467C23—1884no—
1468C23—1884no—
1469C23—1884no—
1470C23#1309407112yes—
1471C23C24×D4711yescharacteristic
1472Q8—44no—
1473Q8—3762no—
1474Q8—1884no—
1475Q8—1884no—
1476Q8—1884no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—3762no—
1481D4—3762no—
1482D4—1884no—
1483D4—1884no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—44no—
1517C2×C4—82no—
1518C2×C4—472no—
1519C2×C4—472no—
1520C2×C4—472no—
1521C2×C4—472no—
1522C2×C4—948no—
1523C2×C4—948no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—3762no—
1563C2×C4—1884no—
1564C2×C4—1884no—
1565C2×C4—1884no—
1566C2×C4—1884no—
1567C2×C4—1884no—
1568C2×C4—1884no—
1569C2×C4—1884no—
1570C2×C4C2×D4×D4712yes—
1571C2×C4C2×D4×D4712yes—
1572C2×C4C2×D4×D4712yes—
1573C2×C4#1309406912yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—474no—
1596C22—942no—
1597C22—942no—
1598C22—942no—
1599C22—942no—
1600C22—942no—
1601C22—942no—
1602C22—942no—
1603C22—942no—
1604C22—942no—
1605C22—18816no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22C22×D4×D4711yescharacteristic
1611C22H(5,𝔽2)×D4711yescharacteristic
1612C22H(5,𝔽2)×D4711yescharacteristic
1613C22C2×#1309406911yescharacteristic
1614C222−1+4×D4711yescharacteristic
1615C222−1+4×D4711yescharacteristic
1616C22C2×#1309407111yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—942no—
1630C4—942no—
1631C4—942no—
1632C4—942no—
1633C4—1881no—
1634C4—1881no—
1635C4—1881no—
1636C4—1881no—
1637C4—1881no—
1638C4—1881no—
1639C4—1881no—
1640C4—1881no—
1641C4—1881no—
1642C4—1881no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2—944no—
1647C2—1882no—
1648C2#537×D4711yescharacteristic
1649C2#2025701611yescharacteristic
1650C2#2025703411yescharacteristic
1651C2#2025760711yescharacteristic
1652C2#2025760811yescharacteristic
1653C2#2025763111yescharacteristic
1654C2#2025763511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2681C2
prime radical#20251667C2
hypercenter#2681D47
hypocenterC47#36719
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C2×C22⋊Q8×D47C2semidirect
3. #20251674C2semidirect
5. #20250052C2semidirect
6. #20250050C2semidirect
7. #20250044C2semidirect
8. #20250042C2semidirect
9. #20250023C2semidirect
10. #20250021C2semidirect
11. #20250011C2semidirect
12. #20250009C2semidirect
13. #20249761C2semidirect
14. #20249760C2semidirect
15. #20249758C2semidirect
16. #20249757C2semidirect
17. #20249742C2semidirect
18. #20249740C2semidirect
19. #20249734C2semidirect
20. #20249206C2semidirect
21. #20249129C2semidirect
22. #20248276C2semidirect
23. #20248273C2semidirect
24. #20246794C2semidirect
25. #20246790C2semidirect
26. #20246770C2semidirect
27. #20246766C2semidirect
28. #20246749C2semidirect
29. #20246746C2semidirect
30. #20246003C2semidirect
31. C47×#2681C2semidirect
35. C2×#13094017C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
43. C2×#13094005C22semidirect
46. C2×#13094003C22semidirect
47. C2×#13094003C22semidirect
55. C2×#13094001C22semidirect
56. C2×#13094001C22semidirect
57. C2×#13094001C22semidirect
73. #15689065C22semidirect
74. #15689064C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689055C22semidirect
80. #15689055C22semidirect
81. #15689053C22semidirect
82. #15689053C22semidirect
83. #15689053C22semidirect
89. #15689046C22semidirect
90. #15689046C22semidirect
91. #15689046C22semidirect
92. #15689046C22semidirect
93. #15689046C22semidirect
94. #15689046C22semidirect
95. #15689046C22semidirect
99. #15689044C22semidirect
100. #15689044C22semidirect
101. #15689043C22semidirect
102. #15689043C22semidirect
103. #15689043C22semidirect
104. #15689042C22semidirect
111. #15689037C22semidirect
112. #15689035C22semidirect
113. #15689035C22semidirect
114. #15689035C22semidirect
115. #15689030C22semidirect
116. #15689028C22semidirect
117. #15689027C22semidirect
118. #15689027C22semidirect
122. #15689022C22semidirect
123. #15689022C22semidirect
124. #15689021C22semidirect
125. #15689021C22semidirect
126. #15689020C22semidirect
127. #15689020C22semidirect
128. #15689020C22semidirect
129. #15689019C22semidirect
130. #15689018C22semidirect
131. #15689018C22semidirect
132. #15689018C22semidirect
134. #15689017C22semidirect
137. #15689016C22semidirect
143. #15689011C22semidirect
174. C2×#123×C47C22semidirect
176. C2×C22⋊Q8×C47C22semidirect
178. C47×#398C22semidirect
179. C47×#396C22semidirect
182. C47×#394C22semidirect
183. C47×#393C22semidirect
185. C47×#389C22semidirect
186. C47×#388C22semidirect
285. C4⋊C4×D47D4semidirect
835. #2681D47semidirect
871. C2×#123C2×D47semidirect
889. C2×C22⋊Q8C2×D47semidirect
915. #398C2×D47semidirect
931. #396C2×D47semidirect
947. #394C2×D47semidirect
951. #393C2×D47semidirect
971. #389C2×D47semidirect
983. #388C2×D47semidirect
1016. C47#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C2×C22⋊Q8×D472
#202516742
#202516672
#202500522
#202500502
#202500442
#202500422
#202500232
#202500212
#202500112
#202500092
#202497612
#202497602
#202497582
#202497572
#202497422
#202497402
#202497342
#202492062
#202491292
#202482762
#202482732
#202467942
#202467902
#202467702
#202467662
#202467492
#202467462
#202460032
C47×#26812
#3671947