Finite Group Databasebeta

← #26423263

Subgroups — #26423263

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×#15689721C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3#20251674C211yesmaximal, characteristic, complemented
4#20251671C211yesmaximal, characteristic
5#20250048C211yesmaximal, characteristic, complemented
6#20250046C211yesmaximal, characteristic, complemented
7#20250040C211yesmaximal, characteristic, complemented
8#20250019C211yesmaximal, characteristic, complemented
9#20250017C211yesmaximal, characteristic, complemented
10#20250015C211yesmaximal, characteristic, complemented
11#20250013C211yesmaximal, characteristic, complemented
12#20249762C211yesmaximal, characteristic, complemented
13#20249759C211yesmaximal, characteristic, complemented
14#20249757C211yesmaximal, characteristic, complemented
15#20249757C211yesmaximal, characteristic, complemented
16#20249743C211yesmaximal, characteristic, complemented
17#20249741C211yesmaximal, characteristic, complemented
18#20249735C211yesmaximal, characteristic, complemented
19#20249733C211yesmaximal, characteristic, complemented
20#20249206C211yesmaximal, characteristic, complemented
21#20249131C211yesmaximal, characteristic, complemented
22#20248282C211yesmaximal, characteristic, complemented
23#20248279C211yesmaximal, characteristic, complemented
24#20246792C211yesmaximal, characteristic, complemented
25#20246788C211yesmaximal, characteristic, complemented
26#20246772C211yesmaximal, characteristic, complemented
27#20246768C211yesmaximal, characteristic, complemented
28#20246751C211yesmaximal, characteristic, complemented
29#20246748C211yesmaximal, characteristic, complemented
30#20246003C211yesmaximal, characteristic, complemented
31C47×#2704C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689721—28no—
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094018C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094009C2211yescharacteristic
39C2×#13094009C2211yescharacteristic
40C2×#13094009C2211yescharacteristic
41C2×#13094009C2211yescharacteristic
42C2×#13094009C2211yescharacteristic, complemented
43C2×#13094009C2211yescharacteristic, complemented
44C2×#13094004C2211yescharacteristic
45C2×#13094004C2211yescharacteristic, complemented
46C2×#13094004C2211yescharacteristic, complemented
47C2×#13094003C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094002C2211yescharacteristic, complemented
53C2×#13094002C2211yescharacteristic, complemented
54C2×#13094002C2211yescharacteristic, complemented
55C2×#13094001C2211yescharacteristic
56C2×#13094001C2211yescharacteristic
57C2×#13094001C2211yescharacteristic
58C2×#13094000C2211yescharacteristic
59C2×#13094000C2211yescharacteristic, complemented
60C22⋊Q8×D47—28no—
61C2×#13093999C2211yescharacteristic
62C2×#13093999C2211yescharacteristic
63C2×#13093998C2211yescharacteristic
64C2×#13093994C2211yescharacteristic
65C2×#13093994C2211yescharacteristic
66C2×C4×D188C2211yescharacteristic
67C2×#13093986C2211yescharacteristic
68C2×#13093982C2211yescharacteristic
69C2×#13093981C2211yescharacteristic
70C2×C4⋊C4×D47C2211yescharacteristic
71C2×C4⋊C4×D47C2211yescharacteristic
72C2×C4⋊C4×D47C2211yescharacteristic
73C2×C22⋊C4×D47C2211yescharacteristic
74C2×C22⋊C4×D47C2211yescharacteristic
75#15689065C2211yescharacteristic, complemented
76#15689064C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689054C2211yescharacteristic, complemented
82#15689054C2211yescharacteristic, complemented
83#15689053C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic
85#15689047C2211yescharacteristic, complemented
86#15689047C2211yescharacteristic, complemented
87#15689047C2211yescharacteristic, complemented
88#15689046C2211yescharacteristic
89#15689046C2211yescharacteristic
90#15689045C2211yescharacteristic
91#15689045C2211yescharacteristic
92#15689045C2211yescharacteristic
93#15689045C2211yescharacteristic, complemented
94#15689045C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689045C2211yescharacteristic, complemented
97#15689045C2211yescharacteristic, complemented
98#15689044C2211yescharacteristic, complemented
99#15689044C2211yescharacteristic, complemented
100#15689044C2211yescharacteristic, complemented
101#15689043C2211yescharacteristic, complemented
102#15689043C2211yescharacteristic, complemented
103#15689041C2211yescharacteristic
104#15689041C2211yescharacteristic
105#15689041C2211yescharacteristic, complemented
106#15689040C2211yescharacteristic
107#15689040C2211yescharacteristic
108#15689040C2211yescharacteristic, complemented
109#15689039C2211yescharacteristic
110#15689039C2211yescharacteristic
111#15689038C2211yescharacteristic
112#15689038C2211yescharacteristic
113#15689036C2211yescharacteristic, complemented
114#15689036C2211yescharacteristic, complemented
115#15689036C2211yescharacteristic, complemented
116#15689034C2211yescharacteristic, complemented
117#15689029C2211yescharacteristic, complemented
118#15689027C2211yescharacteristic, complemented
119#15689027C2211yescharacteristic, complemented
120#15689025C2211yescharacteristic
121#15689024C2211yescharacteristic
122#15689023C2211yescharacteristic
123#15689023C2211yescharacteristic
124#15689022C2211yescharacteristic, complemented
125#15689021C2211yescharacteristic, complemented
126#15689020C2211yescharacteristic, complemented
127#15689020C2211yescharacteristic, complemented
128#15689020C2211yescharacteristic, complemented
129#15689019C2211yescharacteristic, complemented
130#15689019C2211yescharacteristic, complemented
131#15689018C2211yescharacteristic, complemented
132#15689018C2211yescharacteristic, complemented
133#15689018C2211yescharacteristic, complemented
134#15689017C2211yescharacteristic
135#15689015C2211yescharacteristic, complemented
136#15689014C2211yescharacteristic
137#15689014C2211yescharacteristic, complemented
138#15689013C2211yescharacteristic
139#15689013C2211yescharacteristic
140#15689013C2211yescharacteristic, complemented
141#15689012C2211yescharacteristic
142#15689012C2211yescharacteristic, complemented
143#15689011C2211yescharacteristic
144#15689001C2211yescharacteristic
145#15689001C2211yescharacteristic
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic
151#15689001C2211yescharacteristic
152#15689000C2211yescharacteristic
153#15689000C2211yescharacteristic
154#15688999C2211yescharacteristic
155#15688999C2211yescharacteristic
156#15688997C2211yescharacteristic
157#15688997C2211yescharacteristic
158#15688997C2211yescharacteristic
159#15688996C2211yescharacteristic
160#15688994C2211yescharacteristic
161#15688994C2211yescharacteristic
162#15688994C2211yescharacteristic
163#15688985C2211yescharacteristic
164#15688985C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic
167#15688982C2211yescharacteristic
168#15688981C2211yescharacteristic
169#15688980C2211yescharacteristic
170#15688980C2211yescharacteristic
171#15688980C2211yescharacteristic
172#15688978C2211yescharacteristic
173#15688978C2211yescharacteristic
174C2×#125×C47C2211yescharacteristic, complemented
175C2×C22⋊Q8×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic
180C47×#396C2211yescharacteristic
181C47×#395C2211yescharacteristic, complemented
182C47×#391C2211yescharacteristic, complemented
183C47×#389C2211yescharacteristic, complemented
184C47×#389C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic
186C47×#388C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#380C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C2×Q8×D47—24no—
195C2×Q8×D47—42no—
196C2×Q8×D47—42no—
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094019—24no—
219#13094018—24no—
220#13094014—24no—
221#13094009—24no—
222#13094009—24no—
223#13094009—24no—
224#13094009—24no—
225#13094009—42no—
226#13094009—42no—
227#13094004—24no—
228#13094004—24no—
229#13094004—42no—
230#13094003—24no—
231#13094002—24no—
232#13094002—24no—
233#13094002—24no—
234#13094002—24no—
235#13094002—42no—
236#13094002—42no—
237#13094002—42no—
238#13094001—24no—
239#13094001—24no—
240#13094001—42no—
241#13094000—24no—
242#13094000—42no—
243#13093999—24no—
244#13093999—42no—
245#13093998—42no—
246#13093994—42no—
247#13093994—42no—
248C4×D188—24no—
249#13093986—24no—
250#13093982—42no—
251#13093981—42no—
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
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
326C22⋊C4×D47—24no—
327C22⋊C4×D47—24no—
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C2×C4×Dic47C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×Q8×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356#125×C47—24no—
357C22⋊Q8×C47—24no—
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×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊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×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C23×D47—22no—
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×Q8×C47—22no—
404C2×Q8×C47—22no—
405C2×Q8×C47—41no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—41no—
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—41no—
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444Q8×D47—416no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—22no—
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—22no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
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—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—416no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
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—22no—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—22no—
510C4⋊C4×C47—22no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47—41no—
515C4⋊C4×C47—41no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47C2×D414yes—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C42×C47—22no—
525C42×C47—41no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—41no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
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—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—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—41no—
571C4⋊Dic47—41no—
572C4⋊Dic47—41no—
573C4⋊Dic47—41no—
574C4⋊Dic47C2×D414yes—
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—22no—
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⋊C4—41no—
595Dic47⋊C4C2×D414yes—
596Dic47⋊C4C2×D414yes—
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×C472−1+412yes—
608C23×C47C2511yescharacteristic
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—28no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—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—
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—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—44no—
684C2×C4×C47C22×D412yes—
685C2×C4×C47C22×D412yes—
686C2×C4×C47C22×D412yes—
687C2×C4×C47H(5,𝔽2)12yes—
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—44no—
723C2×Dic47C22×D412yes—
724C2×Dic47C22×D412yes—
725C2×Dic47C22×D412yes—
726C2×Dic47H(5,𝔽2)12yes—
727D188—44no—
728D188—44no—
729D188—82no—
730D188—82no—
731D188—82no—
732C4×D47—28no—
733C4×D47—28no—
734C4×D47—44no—
735C4×D47—44no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—82no—
741C4×D47—82no—
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×C47C23×D411yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×H(5,𝔽2)11yescharacteristic
758C22×C47C2×2−1+411yescharacteristic
759C22×C47C2×2−1+411yescharacteristic
760C22×C47C2×2−1+411yescharacteristic
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—416no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
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—
802C4×C47—41no—
803C4×C47—41no—
804Dic47—22no—
805Dic47—22no—
806Dic47—22no—
807Dic47—22no—
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#2704D4711yescharacteristic, complemented
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#2681—471no—
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×C47C2×#53711yescharacteristic
849C2×C47#348411yescharacteristic
850C2×C47#348611yescharacteristic
851C2×C47#353611yescharacteristic
852C2×C47#353611yescharacteristic
853C2×C47#353811yescharacteristic
854C2×C47#353811yescharacteristic
855D47—24no—
856D47—42no—
857D47—81no—
858D47—81no—
859C23×Q8—471no—
860C24×C4—471no—
861#539—948no—
862C2×#126—471no—
863C2×#126—471no—
864C2×#125—471no—
865C2×#125C2×D4711yescharacteristic, complemented
866C2×#123—471no—
867C2×#123—471no—
868C2×#123—471no—
869C2×#123—471no—
870C2×#123—471no—
871C2×#123—471no—
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—471no—
888C2×C22⋊Q8—948no—
889C2×C22⋊Q8C2×D4711yescharacteristic
890C2×#121—471no—
891C2×#121—471no—
892C2×#121—471no—
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#398C2×D4711yescharacteristic, complemented
914#398C2×D4711yescharacteristic, complemented
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#396C2×D4711yescharacteristic
931#396C2×D4711yescharacteristic
932#395—471no—
933#395—471no—
934#395—471no—
935#395—471no—
936#395—471no—
937#395C2×D4711yescharacteristic, complemented
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394—471no—
945#394—471no—
946#394—471no—
947#394—471no—
948#393—471no—
949#393—471no—
950#393—471no—
951#393—471no—
952#391—471no—
953#391—471no—
954#391—471no—
955#391C2×D4711yescharacteristic, complemented
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
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#389C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic
983#388C2×D4711yescharacteristic
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#386—471no—
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#380C2×D4711yescharacteristic
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×D4—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—944no—
1045C23×C4—1882no—
1046C23×C4—1882no—
1047C23×C4C22×D4711yescharacteristic
1048#126—944no—
1049#126—944no—
1050#125—24no—
1051#125—944no—
1052#123—944no—
1053#123—944no—
1054#123—944no—
1055#123—944no—
1056#123—1882no—
1057#123—1882no—
1058C22⋊Q8—24no—
1059C22⋊Q8—944no—
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—1882no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073C22⋊Q8—1882no—
1074C22⋊Q8—1882no—
1075#121—944no—
1076#121—1882no—
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—944no—
1117C2×C4⋊C4—944no—
1118C2×C4⋊C4C22×D4711yescharacteristic
1119C2×C4⋊C4C22×D4711yescharacteristic
1120C2×C4⋊C4C22×D4711yescharacteristic
1121C2×C4⋊C4C22×D4711yescharacteristic
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—944no—
1174C2×C22⋊C4—944no—
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×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219C24—471no—
1220C24—471no—
1221C24—471no—
1222C24—471no—
1223C24—942no—
1224C24—942no—
1225C24—942no—
1226C24—942no—
1227C24—942no—
1228C24—1881no—
1229C24—1881no—
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—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—474no—
1276C22×C4—474no—
1277C22×C4—474no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—1881no—
1304C22×C4—1881no—
1305C22×C4—1881no—
1306C22×C4—1881no—
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×C4C23×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
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—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—474no—
1346C4⋊C4—474no—
1347C4⋊C4—474no—
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—942no—
1361C4⋊C4—942no—
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—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
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—22no—
1424C42—41no—
1425C42—942no—
1426C42—1881no—
1427C42—1881no—
1428C42—1881no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—472no—
1436C23—472no—
1437C23—472no—
1438C23—472no—
1439C23—948no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
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#1309407212yes—
1471C23C24×D4711yescharacteristic
1472Q8—44no—
1473Q8—3762no—
1474Q8—1884no—
1475Q8—1884no—
1476Q8—1884no—
1477D4—3762no—
1478D4—3762no—
1479D4—3762no—
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—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—472no—
1524C2×C4—472no—
1525C2×C4—472no—
1526C2×C4—472no—
1527C2×C4—948no—
1528C2×C4—948no—
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—3762no—
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#1309407012yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—474no—
1582C22—942no—
1583C22—942no—
1584C22—942no—
1585C22—942no—
1586C22—942no—
1587C22—942no—
1588C22—942no—
1589C22—942no—
1590C22—942no—
1591C22—18816no—
1592C22—1881no—
1593C22—1881no—
1594C22—1881no—
1595C22—1881no—
1596C22—1881no—
1597C22—1881no—
1598C22—1881no—
1599C22—1881no—
1600C22—1881no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22C22×D4×D4711yescharacteristic
1611C22H(5,𝔽2)×D4711yescharacteristic
1612C22H(5,𝔽2)×D4711yescharacteristic
1613C22C2×#1309407011yescharacteristic
1614C222−1+4×D4711yescharacteristic
1615C222−1+4×D4711yescharacteristic
1616C22C2×#1309407211yescharacteristic
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—41no—
1630C4—41no—
1631C4—942no—
1632C4—942no—
1633C4—942no—
1634C4—942no—
1635C4—1881no—
1636C4—1881no—
1637C4—1881no—
1638C4—1881no—
1639C4—1881no—
1640C4—1881no—
1641C4—1881no—
1642C4—1881no—
1643C2—42no—
1644C2—944no—
1645C2—3761no—
1646C2—3761no—
1647C2—1882no—
1648C2#537×D4711yescharacteristic
1649C2#2025701811yescharacteristic
1650C2#2025703811yescharacteristic
1651C2#2025760711yescharacteristic
1652C2#2025761611yescharacteristic
1653C2#2025763011yescharacteristic
1654C2#2025763611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2704C2
prime radical#20251671C2
hypercenter#2704D47
hypocenterC47#36719
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2704

Complements

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

NH ≅ G/Ntype
1. C2×#15689721C2semidirect
2. C2×C22⋊Q8×D47C2semidirect
3. #20251674C2semidirect
5. #20250048C2semidirect
6. #20250046C2semidirect
7. #20250040C2semidirect
8. #20250019C2semidirect
9. #20250017C2semidirect
10. #20250015C2semidirect
11. #20250013C2semidirect
12. #20249762C2semidirect
13. #20249759C2semidirect
14. #20249757C2semidirect
15. #20249757C2semidirect
16. #20249743C2semidirect
17. #20249741C2semidirect
18. #20249735C2semidirect
19. #20249733C2semidirect
20. #20249206C2semidirect
21. #20249131C2semidirect
22. #20248282C2semidirect
23. #20248279C2semidirect
24. #20246792C2semidirect
25. #20246788C2semidirect
26. #20246772C2semidirect
27. #20246768C2semidirect
28. #20246751C2semidirect
29. #20246748C2semidirect
30. #20246003C2semidirect
31. C47×#2704C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094018C22semidirect
37. C2×#13094014C22semidirect
42. C2×#13094009C22semidirect
43. C2×#13094009C22semidirect
45. C2×#13094004C22semidirect
46. C2×#13094004C22semidirect
52. C2×#13094002C22semidirect
53. C2×#13094002C22semidirect
54. C2×#13094002C22semidirect
59. C2×#13094000C22semidirect
75. #15689065C22semidirect
76. #15689064C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689056C22semidirect
80. #15689056C22semidirect
81. #15689054C22semidirect
82. #15689054C22semidirect
83. #15689053C22semidirect
85. #15689047C22semidirect
86. #15689047C22semidirect
87. #15689047C22semidirect
93. #15689045C22semidirect
94. #15689045C22semidirect
95. #15689045C22semidirect
96. #15689045C22semidirect
97. #15689045C22semidirect
98. #15689044C22semidirect
99. #15689044C22semidirect
100. #15689044C22semidirect
101. #15689043C22semidirect
102. #15689043C22semidirect
105. #15689041C22semidirect
108. #15689040C22semidirect
113. #15689036C22semidirect
114. #15689036C22semidirect
115. #15689036C22semidirect
116. #15689034C22semidirect
117. #15689029C22semidirect
118. #15689027C22semidirect
119. #15689027C22semidirect
124. #15689022C22semidirect
125. #15689021C22semidirect
126. #15689020C22semidirect
127. #15689020C22semidirect
128. #15689020C22semidirect
129. #15689019C22semidirect
130. #15689019C22semidirect
131. #15689018C22semidirect
132. #15689018C22semidirect
133. #15689018C22semidirect
135. #15689015C22semidirect
137. #15689014C22semidirect
140. #15689013C22semidirect
142. #15689012C22semidirect
174. C2×#125×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#398C22semidirect
178. C47×#398C22semidirect
181. C47×#395C22semidirect
182. C47×#391C22semidirect
183. C47×#389C22semidirect
184. C47×#389C22semidirect
285. C4⋊C4×D47D4semidirect
823. #2704D47semidirect
865. C2×#125C2×D47semidirect
913. #398C2×D47semidirect
914. #398C2×D47semidirect
915. #398C2×D47semidirect
937. #395C2×D47semidirect
955. #391C2×D47semidirect
970. #389C2×D47semidirect
971. #389C2×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×#156897212
C2×C22⋊Q8×D472
#202516742
#202516712
#202500482
#202500462
#202500402
#202500192
#202500172
#202500152
#202500132
#202497622
#202497592
#202497572
#202497432
#202497412
#202497352
#202497332
#202492062
#202491312
#202482822
#202482792
#202467922
#202467882
#202467722
#202467682
#202467512
#202467482
#202460032
C47×#27042
#3671947