Finite Group Databasebeta

← #26423302

Subgroups — #26423302

Order 12032.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C2×#123×D47C211yesmaximal, characteristic, complemented
3#20251674C211yesmaximal, characteristic, complemented
4#20251667C211yesmaximal, characteristic, complemented
5#20250097C211yesmaximal, characteristic, complemented
6#20250095C211yesmaximal, characteristic, complemented
7#20250089C211yesmaximal, characteristic, complemented
8#20250087C211yesmaximal, characteristic, complemented
9#20250068C211yesmaximal, characteristic, complemented
10#20250066C211yesmaximal, characteristic, complemented
11#20250056C211yesmaximal, characteristic, complemented
12#20250054C211yesmaximal, characteristic, complemented
13#20249755C211yesmaximal, characteristic, complemented
14#20249753C211yesmaximal, characteristic, complemented
15#20249749C211yesmaximal, characteristic, complemented
16#20249746C211yesmaximal, characteristic, complemented
17#20249741C211yesmaximal, characteristic, complemented
18#20249737C211yesmaximal, characteristic, complemented
19#20249734C211yesmaximal, characteristic, complemented
20#20249198C211yesmaximal, characteristic, complemented
21#20249121C211yesmaximal, characteristic, complemented
22#20248733C211yesmaximal, characteristic, complemented
23#20248730C211yesmaximal, characteristic, complemented
24#20246770C211yesmaximal, characteristic, complemented
25#20246770C211yesmaximal, characteristic, complemented
26#20246766C211yesmaximal, characteristic, complemented
27#20246766C211yesmaximal, characteristic, complemented
28#20246740C211yesmaximal, characteristic, complemented
29#20246737C211yesmaximal, characteristic, complemented
30#20246003C211yesmaximal, characteristic, complemented
31C47×#2682C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689716—28no—
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094009C2211yescharacteristic
40C2×#13094009C2211yescharacteristic
41C2×#13094008C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094005C2211yescharacteristic, complemented
49#123×D47—28no—
50C2×#13094003C2211yescharacteristic, complemented
51C2×#13094002C2211yescharacteristic
52C2×#13094002C2211yescharacteristic, complemented
53C2×#13094001C2211yescharacteristic, complemented
54C2×#13094001C2211yescharacteristic, complemented
55C2×#13093998C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093995C2211yescharacteristic
59C2×#13093995C2211yescharacteristic, complemented
60C2×#13093992C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
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×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic
73#15689059C2211yescharacteristic, complemented
74#15689058C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689054C2211yescharacteristic, complemented
78#15689053C2211yescharacteristic, complemented
79#15689050C2211yescharacteristic, complemented
80#15689048C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689046C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689045C2211yescharacteristic, complemented
92#15689045C2211yescharacteristic, complemented
93#15689045C2211yescharacteristic, complemented
94#15689045C2211yescharacteristic, complemented
95#15689041C2211yescharacteristic
96#15689039C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic
99#15689038C2211yescharacteristic
100#15689038C2211yescharacteristic, complemented
101#15689038C2211yescharacteristic, complemented
102#15689038C2211yescharacteristic, complemented
103#15689038C2211yescharacteristic, complemented
104#15689037C2211yescharacteristic
105#15689037C2211yescharacteristic, complemented
106#15689037C2211yescharacteristic, complemented
107#15689037C2211yescharacteristic, complemented
108#15689037C2211yescharacteristic, complemented
109#15689036C2211yescharacteristic, complemented
110#15689035C2211yescharacteristic, complemented
111#15689032C2211yescharacteristic
112#15689031C2211yescharacteristic
113#15689031C2211yescharacteristic
114#15689031C2211yescharacteristic, complemented
115#15689026C2211yescharacteristic
116#15689026C2211yescharacteristic, complemented
117#15689026C2211yescharacteristic, complemented
118#15689024C2211yescharacteristic
119#15689023C2211yescharacteristic
120#15689023C2211yescharacteristic
121#15689023C2211yescharacteristic, complemented
122#15689023C2211yescharacteristic, complemented
123#15689023C2211yescharacteristic, complemented
124#15689023C2211yescharacteristic, complemented
125#15689022C2211yescharacteristic, complemented
126#15689021C2211yescharacteristic, complemented
127#15689020C2211yescharacteristic, complemented
128#15689020C2211yescharacteristic, complemented
129#15689019C2211yescharacteristic, complemented
130#15689018C2211yescharacteristic, complemented
131#15689018C2211yescharacteristic, complemented
132#15689017C2211yescharacteristic, complemented
133#15689017C2211yescharacteristic, complemented
134#15689016C2211yescharacteristic, complemented
135#15689016C2211yescharacteristic, complemented
136#15689015C2211yescharacteristic, complemented
137#15689015C2211yescharacteristic, complemented
138#15689014C2211yescharacteristic, complemented
139#15689014C2211yescharacteristic, complemented
140#15689009C2211yescharacteristic, complemented
141#15689008C2211yescharacteristic, complemented
142#15689005C2211yescharacteristic, complemented
143#15689004C2211yescharacteristic, complemented
144#15689003C2211yescharacteristic, complemented
145#15689003C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688998C2211yescharacteristic, complemented
153#15688997C2211yescharacteristic
154#15688997C2211yescharacteristic
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic
161#15688994C2211yescharacteristic, complemented
162#15688983C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic
164#15688982C2211yescharacteristic
165#15688982C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic
168#15688980C2211yescharacteristic
169#15688980C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172#15688978C2211yescharacteristic
173#15688978C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic, complemented
176C2×#121×C47C2211yescharacteristic
177C2×#121×C47C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#392C2211yescharacteristic
183C47×#392C2211yescharacteristic, complemented
184C47×#390C2211yescharacteristic, complemented
185C47×#390C2211yescharacteristic, complemented
186C47×#389C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C2×D4×D47—24no—
202C2×D4×D47—42no—
203C2×D4×D47—42no—
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47—24no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094017—24no—
217#13094017—24no—
218#13094015—24no—
219#13094014—24no—
220#13094009—24no—
221#13094009—24no—
222#13094008—24no—
223#13094007—24no—
224#13094006—24no—
225#13094006—24no—
226#13094006—24no—
227#13094006—24no—
228#13094005—24no—
229#13094005—24no—
230#13094003—24no—
231#13094002—24no—
232#13094002—42no—
233#13094001—24no—
234#13094001—42no—
235#13093998—42no—
236#13093996—42no—
237#13093996—42no—
238#13093995—24no—
239#13093995—42no—
240#13093992—42no—
241#13093992—42no—
242#13093992—42no—
243#13093992—42no—
244C4×C22⋊D47—24no—
245(C22⋊D47)⋊C4—24no—
246#13093982—42no—
247#13093981—42no—
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×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
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
278C4⋊C4×D47—24no—
279C4⋊C4×D47D418yescomplemented
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×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×(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
324C22⋊C4×D47—24no—
325C22⋊C4×D47—24no—
326C22⋊C4×D47—24no—
327C2×C4×Dic47C2311yescharacteristic
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
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360#123×C47—24no—
361#123×C47—24no—
362#121×C47—42no—
363#121×C47—42no—
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×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×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C42×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—41no—
475C22×Dic47—41no—
476C22×Dic47—41no—
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490D4×D47—416no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—41no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47—41no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—416no—
513C2×C4×D47C2×D414yes—
514C2×C4×D47C2×D414yes—
515C2×C4×D47C2×D414yes—
516C2×Dic94—22no—
517C2×Dic94—41no—
518C2×Dic94—41no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—41no—
522C4⋊C4×C47—41no—
523C4⋊C4×C47—41no—
524C4⋊C4×C47—41no—
525C4⋊C4×C47—41no—
526C4⋊C4×C47C2×D414yes—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C42×C47—41no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586C4⋊Dic47—22no—
587C4⋊Dic47—22no—
588C4⋊Dic47—22no—
589C4⋊Dic47—22no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594C4⋊Dic47—41no—
595C4⋊Dic47C2×D414yes—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—22no—
603Dic47⋊C4—22no—
604Dic47⋊C4—41no—
605Dic47⋊C4—41no—
606Dic47⋊C4—41no—
607Dic47⋊C4—41no—
608Dic47⋊C4—41no—
609Dic47⋊C4—41no—
610Dic47⋊C4—41no—
611Dic47⋊C4—41no—
612Dic47⋊C4—41no—
613Dic47⋊C4—41no—
614Dic47⋊C4C2×D414yes—
615Dic47⋊C4C2×D414yes—
616C4×Dic47—22no—
617C4×Dic47—22no—
618C4×Dic47—41no—
619C4×Dic47—41no—
620C4×Dic47—41no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47H(5,𝔽2)12yes—
649C23×C47C2511yescharacteristic
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—28no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—44no—
675C22×D47—44no—
676C22×D47—44no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47C22×D412yes—
682C22×D47H(5,𝔽2)12yes—
683C22×D47H(5,𝔽2)12yes—
684C22×D472−1+412yes—
685D4×C47—44no—
686D4×C47—82no—
687D4×C47—82no—
688D4×C47—82no—
689D4×C47—82no—
690D4×C47—82no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—44no—
722C2×C4×C47—82no—
723C2×C4×C47C22×D412yes—
724C2×C4×C47C22×D412yes—
725C2×C4×C47C22×D412yes—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C22⋊D47—82no—
731C22⋊D47—82no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—44no—
771C2×Dic47—82no—
772C2×Dic47C22×D412yes—
773C2×Dic47C22×D412yes—
774C2×Dic47C22×D412yes—
775D188—44no—
776C4×D47—28no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—44no—
781C4×D47—44no—
782C4×D47—44no—
783Dic94—82no—
784#36722—471nomaximal, Sylow
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47C23×D411yescharacteristic
814C22×C47C2×H(5,𝔽2)11yescharacteristic
815C22×C47C2×H(5,𝔽2)11yescharacteristic
816C22×C47C2×H(5,𝔽2)11yescharacteristic
817C22×C47C2×2−1+411yescharacteristic
818C22×C47#58511yescharacteristic
819C22×C47#58511yescharacteristic
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—416no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—88no—
842C2×D47#53714yes—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854Dic47—22no—
855Dic47—22no—
856Dic47—22no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867C2×#539—471no—
868C22×#123—471no—
869#2848—471no—
870#2847—471no—
871#2707—471no—
872#2707—471no—
873#2707—471no—
874#2707—471no—
875#2705—471no—
876#2705—471no—
877#2705—471no—
878#2705—471no—
879#2682—471no—
880#2682—471no—
881#2682—471no—
882#2682D4711yescharacteristic, complemented
883#2681—471no—
884#2681—471no—
885#2681—471no—
886#2681—471no—
887#2626—471no—
888#2617—471no—
889#2579—471no—
890#2579—471no—
891#2411—471no—
892#2411—471no—
893#2411—471no—
894#2411—471no—
895#2408—471no—
896#2408—471no—
897#2316—471no—
898C2×C47—42no—
899C2×C47—81no—
900C2×C47—81no—
901C2×C47—81no—
902C2×C47C2×#53711yescharacteristic
903C2×C47#348411yescharacteristic
904C2×C47#348711yescharacteristic
905C2×C47#353411yescharacteristic
906C2×C47#353411yescharacteristic
907C2×C47#353511yescharacteristic
908C2×C47#353511yescharacteristic
909D47—24no—
910D47—42no—
911D47—81no—
912C23×D4—471no—
913C24×C4—471no—
914#539—948no—
915C2×#126—471no—
916C2×#126—471no—
917C2×#125—471no—
918C2×#125—471no—
919C2×#123—471no—
920C2×#123—471no—
921C2×#123—471no—
922C2×#123—471no—
923C2×#123—471no—
924C2×#123—471no—
925C2×#123—471no—
926C2×#123—471no—
927C2×#123—471no—
928C2×#123—471no—
929C2×#123—948no—
930C2×#123C2×D4711yescharacteristic
931C2×#123C2×D4711yescharacteristic, complemented
932C2×C22⋊Q8—471no—
933C2×C22⋊Q8—471no—
934C2×C22⋊Q8—471no—
935C2×C22⋊Q8—471no—
936C2×C22⋊Q8—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#121—471no—
940C2×#121—471no—
941C2×#121—471no—
942C2×#121C2×D4711yescharacteristic
943C2×#121C2×D4711yescharacteristic, complemented
944C2×#120—471no—
945C2×#120—471no—
946C2×#120—471no—
947C2×#120—471no—
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×#117—471no—
951C2×#117—471no—
952C22×C4⋊C4—471no—
953C22×C4⋊C4—471no—
954C22×C22⋊C4—471no—
955C22×C22⋊C4—471no—
956C22×C22⋊C4—471no—
957#399—471no—
958#399—471no—
959#398—471no—
960#398—471no—
961#398—471no—
962#398—471no—
963#397—471no—
964#397—471no—
965#396—471no—
966#396—471no—
967#396—471no—
968#396—471no—
969#396—471no—
970#396—471no—
971#396—471no—
972#396—471no—
973#396—471no—
974#396—471no—
975#396—471no—
976#396—471no—
977#396—471no—
978#396—471no—
979#396C2×D4711yescharacteristic, complemented
980#396C2×D4711yescharacteristic, complemented
981#394—471no—
982#394—471no—
983#394—471no—
984#394—471no—
985#394—471no—
986#394—471no—
987#394—471no—
988#394—471no—
989#394—471no—
990#394—471no—
991#394—471no—
992#394—471no—
993#394—471no—
994#394—471no—
995#394C2×D4711yescharacteristic, complemented
996#394C2×D4711yescharacteristic, complemented
997#393—471no—
998#393—471no—
999#392—471no—
1000#392—471no—
1001#392—471no—
1002#392—471no—
1003#392C2×D4711yescharacteristic
1004#392C2×D4711yescharacteristic, complemented
1005#390—471no—
1006#390—471no—
1007#390—471no—
1008#390—471no—
1009#390—471no—
1010#390—471no—
1011#390—471no—
1012#390—471no—
1013#390—471no—
1014#390—471no—
1015#390C2×D4711yescharacteristic, complemented
1016#390C2×D4711yescharacteristic, complemented
1017#389—471no—
1018#389—471no—
1019#389—471no—
1020#389—471no—
1021#389—471no—
1022#389—471no—
1023#389—471no—
1024#389C2×D4711yescharacteristic, complemented
1025#388—471no—
1026#388—471no—
1027#388—471no—
1028#388—471no—
1029#388—471no—
1030#388—471no—
1031#388—471no—
1032#388—471no—
1033#387—471no—
1034#387—471no—
1035#387—471no—
1036#387—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#385—471no—
1046#385—471no—
1047#385—471no—
1048#385—471no—
1049#385—471no—
1050#385—471no—
1051#385—471no—
1052#385—471no—
1053#385—471no—
1054#385—471no—
1055#385C2×D4711yescharacteristic, complemented
1056#385C2×D4711yescharacteristic, complemented
1057#380—471no—
1058#380—471no—
1059#380—471no—
1060#380—471no—
1061#380—471no—
1062#380—471no—
1063#380—471no—
1064#380—471no—
1065#379—471no—
1066#379—471no—
1067#379—471no—
1068#379—471no—
1069C47#3672211yescharacteristic, complemented, Sylow
1070C25—471no—
1071C25—471no—
1072C22×Q8—471no—
1073C22×D4—471no—
1074C22×D4—471no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—944no—
1083C22×D4—1882no—
1084C22×D4—1882no—
1085C22×D4C22×D4711yescharacteristic
1086C22×D4C22×D4711yescharacteristic
1087C22×D4C22×D4711yescharacteristic
1088C22×D4C22×D4711yescharacteristic
1089C22×D4C22×D4711yescharacteristic
1090C22×D4C22×D4711yescharacteristic
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—944no—
1101C23×C4—1882no—
1102C23×C4—1882no—
1103C23×C4C22×D4711yescharacteristic
1104C23×C4C22×D4711yescharacteristic
1105#126—944no—
1106#126—944no—
1107#125—944no—
1108#125—944no—
1109#123—24no—
1110#123—24no—
1111#123—944no—
1112#123—944no—
1113#123—944no—
1114#123—944no—
1115#123—944no—
1116#123—944no—
1117#123—944no—
1118#123—944no—
1119#123—944no—
1120#123—944no—
1121C22⋊Q8—944no—
1122C22⋊Q8—944no—
1123C22⋊Q8—944no—
1124C22⋊Q8—1882no—
1125C22⋊Q8—1882no—
1126#121—42no—
1127#121—42no—
1128#121—944no—
1129#121—1882no—
1130#121—1882no—
1131#121—1882no—
1132#121—1882no—
1133#120—1882no—
1134#120—1882no—
1135#120—1882no—
1136#120—1882no—
1137C4×D4—944no—
1138C4×D4—944no—
1139#117—1882no—
1140#117—1882no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—478no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4—471no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—944no—
1173C2×C4⋊C4C22×D4711yescharacteristic
1174C2×C4⋊C4C22×D4711yescharacteristic
1175C2×C4⋊C4C22×D4711yescharacteristic
1176C2×C4⋊C4C22×D4711yescharacteristic
1177C2×C4⋊C4C22×D4711yescharacteristic
1178C2×C4⋊C4C22×D4711yescharacteristic
1179C2×C4⋊C4C22×D4711yescharacteristic
1180C2×C4⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—944no—
1226C2×C22⋊C4—944no—
1227C2×C22⋊C4—944no—
1228C2×C22⋊C4C22×D4711yescharacteristic
1229C2×C22⋊C4C22×D4711yescharacteristic
1230C2×C22⋊C4C22×D4711yescharacteristic
1231C2×C22⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4C22×D4711yescharacteristic
1233C2×C22⋊C4C22×D4711yescharacteristic
1234C2×C22⋊C4C22×D4711yescharacteristic
1235C2×C22⋊C4C22×D4711yescharacteristic
1236C2×C22⋊C4C22×D4711yescharacteristic
1237C2×C22⋊C4C22×D4711yescharacteristic
1238C2×C22⋊C4C22×D4711yescharacteristic
1239C2×C22⋊C4C22×D4711yescharacteristic
1240C2×C22⋊C4C22×D4711yescharacteristic
1241C2×C22⋊C4C22×D4711yescharacteristic
1242C2×C42—471no—
1243C2×C42—471no—
1244C2×C42—471no—
1245C2×C42—471no—
1246C2×C42—471no—
1247C2×C42C22×D4711yescharacteristic
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95—471no—
1263#95—471no—
1264#95—471no—
1265#95—471no—
1266#95—471no—
1267#95—471no—
1268#95C22×D4711yescharacteristic
1269#95C22×D4711yescharacteristic
1270#95C22×D4711yescharacteristic
1271#95C22×D4711yescharacteristic
1272C24—471no—
1273C24—471no—
1274C24—471no—
1275C24—942no—
1276C24—942no—
1277C24—942no—
1278C24—942no—
1279C24—942no—
1280C24—942no—
1281C24—942no—
1282C24—942no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C24C23×D4711yescharacteristic
1292C24C23×D4711yescharacteristic
1293C2×Q8—942no—
1294C2×Q8—1881no—
1295C2×Q8—1881no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—18816no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—471no—
1349C22×C4—471no—
1350C22×C4—471no—
1351C22×C4—474no—
1352C22×C4—474no—
1353C22×C4—474no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—471no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
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—1881no—
1376C22×C4—1881no—
1377C22×C4—1881no—
1378C22×C4—1881no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—18816no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4C23×D4711yescharacteristic
1390C22×C4C23×D4711yescharacteristic
1391C22×C4C23×D4711yescharacteristic
1392C22×C4C23×D4711yescharacteristic
1393C22×C4C23×D4711yescharacteristic
1394C22×C4C23×D4711yescharacteristic
1395C22×C4C23×D4711yescharacteristic
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—474no—
1408C4⋊C4—474no—
1409C4⋊C4—474no—
1410C4⋊C4—942no—
1411C4⋊C4—942no—
1412C4⋊C4—942no—
1413C4⋊C4—942no—
1414C4⋊C4—942no—
1415C4⋊C4—942no—
1416C4⋊C4—942no—
1417C4⋊C4—942no—
1418C4⋊C4—942no—
1419C4⋊C4—942no—
1420C4⋊C4—942no—
1421C4⋊C4—942no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C4⋊C4—1881no—
1430C4⋊C4—1881no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C4⋊C4—1881no—
1436C4⋊C4—1881no—
1437C4⋊C4D4×D4714yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—942no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—942no—
1463C22⋊C4—942no—
1464C22⋊C4—942no—
1465C22⋊C4—942no—
1466C22⋊C4—942no—
1467C22⋊C4—942no—
1468C22⋊C4—942no—
1469C22⋊C4—942no—
1470C22⋊C4—942no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C22⋊C4—1881no—
1496C42—41no—
1497C42—942no—
1498C42—942no—
1499C42—1881no—
1500C42—1881no—
1501C42—1881no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—472no—
1530C23—472no—
1531C23—472no—
1532C23—472no—
1533C23—948no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—3762no—
1552C23—3762no—
1553C23—3762no—
1554C23—3762no—
1555C23—1884no—
1556C23—1884no—
1557C23—1884no—
1558C23—1884no—
1559C23—1884no—
1560C23—1884no—
1561C23—1884no—
1562C23—1884no—
1563C23—1884no—
1564C23#1309406912yes—
1565C23C24×D4711yescharacteristic
1566Q8—3762no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—3762no—
1574D4—3762no—
1575D4—3762no—
1576D4—3762no—
1577D4—1884no—
1578D4—1884no—
1579D4—1884no—
1580D4—1884no—
1581D4—1884no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—472no—
1615C2×C4—472no—
1616C2×C4—472no—
1617C2×C4—948no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—3762no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4—1884no—
1661C2×C4—1884no—
1662C2×C4C2×D4×D4712yes—
1663C2×C4C2×D4×D4712yes—
1664C2×C4C2×D4×D4712yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—474no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—942no—
1698C22—942no—
1699C22—942no—
1700C22—942no—
1701C22—942no—
1702C22—942no—
1703C22—3768no—
1704C22—18816no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22C22×D4×D4711yescharacteristic
1717C22H(5,𝔽2)×D4711yescharacteristic
1718C22H(5,𝔽2)×D4711yescharacteristic
1719C22C2×#1309406911yescharacteristic
1720C222−1+4×D4711yescharacteristic
1721C22#1568995811yescharacteristic
1722C22#1568995911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—942no—
1735C4—942no—
1736C4—942no—
1737C4—1881no—
1738C4—1881no—
1739C4—1881no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—944no—
1752C2—3761no—
1753C2—1882no—
1754C2#537×D4711yescharacteristic
1755C2#2025701611yescharacteristic
1756C2#2025704111yescharacteristic
1757C2#2025756811yescharacteristic
1758C2#2025757711yescharacteristic
1759C2#2025758811yescharacteristic
1760C2#2025758911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2682C2
hypercenter#2682D47
hypocenterC47#36722
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C2×#123×D47C2semidirect
3. #20251674C2semidirect
4. #20251667C2semidirect
5. #20250097C2semidirect
6. #20250095C2semidirect
7. #20250089C2semidirect
8. #20250087C2semidirect
9. #20250068C2semidirect
10. #20250066C2semidirect
11. #20250056C2semidirect
12. #20250054C2semidirect
13. #20249755C2semidirect
14. #20249753C2semidirect
15. #20249749C2semidirect
16. #20249746C2semidirect
17. #20249741C2semidirect
18. #20249737C2semidirect
19. #20249734C2semidirect
20. #20249198C2semidirect
21. #20249121C2semidirect
22. #20248733C2semidirect
23. #20248730C2semidirect
24. #20246770C2semidirect
25. #20246770C2semidirect
26. #20246766C2semidirect
27. #20246766C2semidirect
28. #20246740C2semidirect
29. #20246737C2semidirect
30. #20246003C2semidirect
31. C47×#2682C2semidirect
35. C2×#13094017C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
48. C2×#13094005C22semidirect
50. C2×#13094003C22semidirect
52. C2×#13094002C22semidirect
53. C2×#13094001C22semidirect
54. C2×#13094001C22semidirect
59. C2×#13093995C22semidirect
73. #15689059C22semidirect
74. #15689058C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689054C22semidirect
78. #15689053C22semidirect
79. #15689050C22semidirect
80. #15689048C22semidirect
81. #15689046C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
88. #15689046C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
91. #15689045C22semidirect
92. #15689045C22semidirect
93. #15689045C22semidirect
94. #15689045C22semidirect
96. #15689039C22semidirect
97. #15689039C22semidirect
100. #15689038C22semidirect
101. #15689038C22semidirect
102. #15689038C22semidirect
103. #15689038C22semidirect
105. #15689037C22semidirect
106. #15689037C22semidirect
107. #15689037C22semidirect
108. #15689037C22semidirect
109. #15689036C22semidirect
110. #15689035C22semidirect
114. #15689031C22semidirect
116. #15689026C22semidirect
117. #15689026C22semidirect
121. #15689023C22semidirect
122. #15689023C22semidirect
123. #15689023C22semidirect
124. #15689023C22semidirect
125. #15689022C22semidirect
126. #15689021C22semidirect
127. #15689020C22semidirect
128. #15689020C22semidirect
129. #15689019C22semidirect
130. #15689018C22semidirect
131. #15689018C22semidirect
132. #15689017C22semidirect
133. #15689017C22semidirect
134. #15689016C22semidirect
135. #15689016C22semidirect
136. #15689015C22semidirect
137. #15689015C22semidirect
138. #15689014C22semidirect
139. #15689014C22semidirect
140. #15689009C22semidirect
141. #15689008C22semidirect
142. #15689005C22semidirect
143. #15689004C22semidirect
144. #15689003C22semidirect
145. #15689003C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688998C22semidirect
155. #15688997C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688995C22semidirect
161. #15688994C22semidirect
162. #15688983C22semidirect
165. #15688982C22semidirect
166. #15688981C22semidirect
169. #15688980C22semidirect
175. C2×#123×C47C22semidirect
177. C2×#121×C47C22semidirect
178. C47×#396C22semidirect
179. C47×#396C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
183. C47×#392C22semidirect
184. C47×#390C22semidirect
185. C47×#390C22semidirect
186. C47×#389C22semidirect
187. C47×#385C22semidirect
188. C47×#385C22semidirect
279. C4⋊C4×D47D4semidirect
882. #2682D47semidirect
931. C2×#123C2×D47semidirect
943. C2×#121C2×D47semidirect
979. #396C2×D47semidirect
980. #396C2×D47semidirect
995. #394C2×D47semidirect
996. #394C2×D47semidirect
1004. #392C2×D47semidirect
1015. #390C2×D47semidirect
1016. #390C2×D47semidirect
1024. #389C2×D47semidirect
1055. #385C2×D47semidirect
1056. #385C2×D47semidirect
1069. C47#36722semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C2×#123×D472
#202516742
#202516672
#202500972
#202500952
#202500892
#202500872
#202500682
#202500662
#202500562
#202500542
#202497552
#202497532
#202497492
#202497462
#202497412
#202497372
#202497342
#202491982
#202491212
#202487332
#202487302
#202467702
#202467662
#202467402
#202467372
#202460032
C47×#26822
#3672247