Finite Group Databasebeta

← #26389285

Subgroups — #26389285

Order 12032.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C2×#15689707C211yesmaximal, characteristic, complemented
3#20251762C211yesmaximal, characteristic, complemented
4#20251752C211yesmaximal, characteristic, complemented
5#20251716C211yesmaximal, characteristic, complemented
6#20251685C211yesmaximal, characteristic, complemented
7#20249556C211yesmaximal, characteristic, complemented
8#20249537C211yesmaximal, characteristic, complemented
9#20249534C211yesmaximal, characteristic, complemented
10#20249513C211yesmaximal, characteristic, complemented
11#20248532C211yesmaximal, characteristic, complemented
12#20248511C211yesmaximal, characteristic, complemented
13#20248504C211yesmaximal, characteristic, complemented
14#20248397C211yesmaximal, characteristic, complemented
15#20248347C211yesmaximal, characteristic, complemented
16#20248317C211yesmaximal, characteristic, complemented
17#20248276C211yesmaximal, characteristic, complemented
18#20248088C211yesmaximal, characteristic, complemented
19#20248066C211yesmaximal, characteristic, complemented
20#20247707C211yesmaximal, characteristic, complemented
21#20247507C211yesmaximal, characteristic, complemented
22#20247391C211yesmaximal, characteristic, complemented
23#20247360C211yesmaximal, characteristic, complemented
24#20246942C211yesmaximal, characteristic, complemented
25#20246927C211yesmaximal, characteristic, complemented
26#20246061C211yesmaximal, characteristic, complemented
27#20246044C211yesmaximal, characteristic, complemented
28C4×#13093997C211yesmaximal, characteristic, complemented
29#388×D47C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C47×#2557C211yesmaximal, characteristic, complemented
32#15689716—28no—
33#15689707—28no—
34C2×#13094018C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094013C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094009C2211yescharacteristic
43C2×#13094008C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094005C2211yescharacteristic, complemented
48C2×#13094003C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13094000C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093997C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093994C2211yescharacteristic
59C2×#13093992C2211yescharacteristic
60C2×#13093992C2211yescharacteristic
61C2×C4×D188C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic, complemented
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C2×(C22⋊D47)⋊C4C2211yescharacteristic
67C2×C4⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C22⋊C4×D47C2211yescharacteristic
71C22×C4×Dic47C2211yescharacteristic, complemented
72C2×C42×D47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689063C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic
76#15689058C2211yescharacteristic
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689054C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689047C2211yescharacteristic
84#15689047C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689044C2211yescharacteristic, complemented
88#15689042C2211yescharacteristic, complemented
89#15689041C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic, complemented
96#15689037C2211yescharacteristic
97#15689036C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic, complemented
101#15689030C2211yescharacteristic, complemented
102#15689027C2211yescharacteristic, complemented
103#15689026C2211yescharacteristic
104#15689026C2211yescharacteristic
105#15689025C2211yescharacteristic
106#15689024C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic, complemented
111#15689022C2211yescharacteristic, complemented
112#15689021C2211yescharacteristic, complemented
113#15689020C2211yescharacteristic, complemented
114#15689020C2211yescharacteristic, complemented
115#15689020C2211yescharacteristic, complemented
116#15689019C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic
118#15689017C2211yescharacteristic
119#15689017C2211yescharacteristic, complemented
120#15689016C2211yescharacteristic
121#15689016C2211yescharacteristic, complemented
122#15689016C2211yescharacteristic, complemented
123#15689015C2211yescharacteristic
124#15689015C2211yescharacteristic
125#15689015C2211yescharacteristic
126#15689015C2211yescharacteristic
127#15689015C2211yescharacteristic, complemented
128#15689015C2211yescharacteristic, complemented
129#15689015C2211yescharacteristic, complemented
130#15689014C2211yescharacteristic
131#15689013C2211yescharacteristic
132#15689012C2211yescharacteristic
133#15689012C2211yescharacteristic
134#15689012C2211yescharacteristic
135#15689012C2211yescharacteristic, complemented
136#15689012C2211yescharacteristic, complemented
137#15689011C2211yescharacteristic
138#15689011C2211yescharacteristic
139#15689011C2211yescharacteristic
140#15689011C2211yescharacteristic
141#15689011C2211yescharacteristic, complemented
142#15689007C2211yescharacteristic, complemented
143#15689003C2211yescharacteristic
144#15689002C2211yescharacteristic
145#15689002C2211yescharacteristic
146#15689002C2211yescharacteristic, complemented
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic
151#15688999C2211yescharacteristic
152#15688997C2211yescharacteristic
153#15688997C2211yescharacteristic
154#15688997C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic
158#15688982C2211yescharacteristic
159#15688981C2211yescharacteristic, complemented
160#15688978C2211yescharacteristic
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162C4×Dic47⋊C4C2211yescharacteristic, complemented
163#15688974C2211yescharacteristic, complemented
164#15688974C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic, complemented
166C22⋊C4×Dic47C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#124×C47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic, complemented
178C47×#393C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#391C2211yescharacteristic, complemented
181C47×#390C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094018—24no—
210#13094017—24no—
211#13094017—24no—
212#13094017—24no—
213#13094015—24no—
214#13094014—24no—
215#13094013—24no—
216#13094010—42no—
217#13094009—24no—
218#13094008—24no—
219#13094006—24no—
220#13094006—24no—
221#13094006—24no—
222#13094005—24no—
223#13094003—24no—
224#13094002—24no—
225#13094001—24no—
226#13094000—24no—
227#13093997—24no—
228#13093997—24no—
229#13093997—24no—
230#13093996—24no—
231#13093996—42no—
232#13093995—24no—
233#13093994—24no—
234#13093992—24no—
235#13093992—24no—
236C4×D188—24no—
237C4×C22⋊D47—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47—42no—
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4D418yescomplemented
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C4⋊C4×D47—24no—
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
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
309C22⋊C4×D47—24no—
310C22⋊C4×D47—24no—
311C22⋊C4×D47—42no—
312C2×C4×Dic47—42no—
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C42×D47—42no—
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
348C22×Q8×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354#124×C47—24no—
355#123×C47—24no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373C2×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×Q8×C47—41no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47C2×D414yes—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47C2×D414yes—
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—41no—
473C2×D188—41no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
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×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47C2×D414yes—
494C2×C4×D47#4114yes—
495C2×Dic94—22no—
496C2×Dic94—41no—
497C2×Dic94—41no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47C2×D414yes—
514C42×C47—22no—
515C42×C47—41no—
516C42×C47—41no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
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—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4C2×D414yes—
555(C2×D47)⋊C4#4114yes—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—22no—
560C4⋊Dic47—22no—
561C4⋊Dic47—22no—
562C4⋊Dic47—41no—
563C4⋊Dic47—41no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581Dic47⋊C4—41no—
582Dic47⋊C4C2×D414yes—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—41no—
590C4×Dic47—41no—
591C4×Dic47—41no—
592C4×Dic47—41no—
593C4×Dic47—41no—
594C4×Dic47C2×D414yes—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×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×C47C22×D412yes—
616C23×C47C2511yescharacteristic
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—21no—
635C22×D47—44no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—82no—
639C22×D47—82no—
640C22×D47—82no—
641C22×D47—82no—
642C22×D47C22×D412yes—
643C22×D47C2×#4112yes—
644C22×D47C2×#4112yes—
645Q8×C47—82no—
646D4×C47—82no—
647D4×C47—82no—
648D4×C47—82no—
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—44no—
682C2×C4×C47—82no—
683C2×C4×C47C22×D412yes—
684C2×C4×C47C22×D412yes—
685C2×C4×C47C2×#4112yes—
686C2×C4×C47C2×#4112yes—
687C22⋊D47—28no—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C22⋊D47—82no—
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—44no—
728C2×Dic47—44no—
729C2×Dic47C22×D412yes—
730C2×Dic47C22×D412yes—
731C2×Dic47C22×D412yes—
732C2×Dic47C2×#4112yes—
733C2×Dic47C2×#4112yes—
734C2×Dic47H(5,𝔽2)12yes—
735D188—44no—
736D188—82no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—82no—
742C4×D47—82no—
743C4×D47—82no—
744Dic94—82no—
745#35009—471nomaximal, Sylow
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—41no—
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×C47C23×D411yescharacteristic
768C22×C47C22×#4111yescharacteristic
769C22×C47C22×#4111yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47#58511yescharacteristic
772C22×C47#58511yescharacteristic
773C22×C47#58511yescharacteristic
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
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—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—88no—
795C2×D47#53214yes—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—22no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821C2×#539—471no—
822C2×#538—471no—
823#2861—471no—
824#2860—471no—
825#2854—471no—
826#2850—471no—
827#2664—471no—
828#2663—471no—
829#2662—471no—
830#2661—471no—
831#2560—471no—
832#2559—471no—
833#2558—471no—
834#2557D4711yescharacteristic, complemented
835#2549—471no—
836#2543—471no—
837#2539—471no—
838#2534—471no—
839#2521—471no—
840#2519—471no—
841#2488—471no—
842#2472—471no—
843#2464—471no—
844#2461—471no—
845#2425—471no—
846#2424—471no—
847#2322—471no—
848#2321—471no—
849C4×#121—471no—
850C2×#388—471no—
851C42×D4—471no—
852C2×C47—42no—
853C2×C47—81no—
854C2×C47—81no—
855C2×C47C2×#53211yescharacteristic
856C2×C47#345511yescharacteristic
857C2×C47#345911yescharacteristic
858C2×C47#349611yescharacteristic
859C2×C47#350011yescharacteristic
860C2×C47#351311yescharacteristic
861C2×C47#352111yescharacteristic
862D47—24no—
863D47—81no—
864D47—81no—
865#539—948no—
866#538—948no—
867C2×#126—471no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#126—471no—
871C2×#125—471no—
872C2×#125—471no—
873C2×#124—471no—
874C2×#124—471no—
875C2×#124C2×D4711yescharacteristic
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123C2×D4711yescharacteristic, complemented
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×#121—471no—
888C2×#121—471no—
889C2×#121—471no—
890C2×#121—471no—
891C2×#121—471no—
892C2×#121—471no—
893C2×#120—471no—
894C2×#120—471no—
895C2×#120—471no—
896C2×C4×D4—471no—
897C2×C4×D4—471no—
898C2×C4×D4—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C22×C4⋊C4—471no—
903C22×C22⋊C4—471no—
904C22×C22⋊C4—471no—
905C22×C22⋊C4—471no—
906C22×C42—471no—
907C22×C42—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#398—471no—
913#398—471no—
914#398—471no—
915#398—471no—
916#397—471no—
917#397—471no—
918#397C2×D4711yescharacteristic
919#397C2×D4711yescharacteristic, complemented
920#396—471no—
921#396—471no—
922#396—471no—
923#396—471no—
924#395—471no—
925#395—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394—471no—
934#393—471no—
935#393C2×D4711yescharacteristic, complemented
936#392—471no—
937#392—471no—
938#392—471no—
939#392C2×D4711yescharacteristic
940#391—471no—
941#391—471no—
942#391C2×D4711yescharacteristic, complemented
943#390—471no—
944#390—471no—
945#390—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390C2×D4711yescharacteristic
952#389—471no—
953#389—471no—
954#389—471no—
955#389—471no—
956#389—471no—
957#389—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
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
984#387—471no—
985#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
997#386C2×D4711yescharacteristic, complemented
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#382—471no—
1003#381—471no—
1004#380—471no—
1005#380—471no—
1006#379—471no—
1007C4×C4⋊C4—471no—
1008C4×C4⋊C4—471no—
1009C4×C4⋊C4—471no—
1010C4×C4⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4C2×D4711yescharacteristic, complemented
1018C4×C22⋊C4C2×D4711yescharacteristic, complemented
1019C2×#95—471no—
1020C2×#95—471no—
1021C43—471no—
1022C47#3500911yescharacteristic, complemented, Sylow
1023C25—471no—
1024C22×Q8—471no—
1025C22×Q8C22×D4711yescharacteristic
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4C22×D4711yescharacteristic
1036C22×D4C22×D4711yescharacteristic
1037C22×D4C22×D4711yescharacteristic
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4C22×D4711yescharacteristic
1048C23×C4C22×D4711yescharacteristic
1049#126—944no—
1050#126—944no—
1051#126—944no—
1052#126—944no—
1053#125—944no—
1054#125—944no—
1055#124—24no—
1056#124—944no—
1057#124—1882no—
1058#123—24no—
1059#123—944no—
1060#123—944no—
1061#123—944no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065C22⋊Q8—944no—
1066C22⋊Q8—944no—
1067C22⋊Q8—944no—
1068C22⋊Q8—944no—
1069#121—944no—
1070#121—944no—
1071#121—944no—
1072#121—944no—
1073#121—944no—
1074#121—1882no—
1075#120—944no—
1076#120—944no—
1077#120—944no—
1078C4×D4—478no—
1079C4×D4—944no—
1080C4×D4—944no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—1882no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
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—944no—
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C4⋊C4C22×D4711yescharacteristic
1114C2×C4⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—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—944no—
1155C2×C22⋊C4—944no—
1156C2×C22⋊C4—1882no—
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C42—471no—
1171C2×C42—471no—
1172C2×C42—471no—
1173C2×C42—471no—
1174C2×C42—471no—
1175C2×C42—471no—
1176C2×C42—471no—
1177C2×C42—471no—
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—1882no—
1183C2×C42—1882no—
1184C2×C42C22×D4711yescharacteristic
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—942no—
1223C24—942no—
1224C24—942no—
1225C24—1881no—
1226C24—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24C23×D4711yescharacteristic
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—942no—
1236C2×Q8—1881no—
1237C2×Q8—1881no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—474no—
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—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—474no—
1287C22×C4—474no—
1288C22×C4—474no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
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—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—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
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
1331C22×C4C23×D4711yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—474no—
1336C4⋊C4—942no—
1337C4⋊C4—942no—
1338C4⋊C4—942no—
1339C4⋊C4—942no—
1340C4⋊C4—942no—
1341C4⋊C4—942no—
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—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—474no—
1375C22⋊C4—474no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
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—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4D4×D4714yes—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—474no—
1418C42—942no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
1422C42—942no—
1423C42—942no—
1424C42—1881no—
1425C42—1881no—
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—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—3762no—
1471C23—3762no—
1472C23—3762no—
1473C23—3762no—
1474C23—1884no—
1475C23—1884no—
1476C23—1884no—
1477C23C2×D4×D4712yes—
1478C23C24×D4711yescharacteristic
1479Q8—82no—
1480Q8—3762no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—948no—
1485D4—3762no—
1486D4—3762no—
1487D4—3762no—
1488D4—3762no—
1489D4—3762no—
1490D4—1884no—
1491D4—1884no—
1492D4—1884no—
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—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—472no—
1528C2×C4—472no—
1529C2×C4—472no—
1530C2×C4—472no—
1531C2×C4—472no—
1532C2×C4—472no—
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—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—3762no—
1567C2×C4—3762no—
1568C2×C4—3762no—
1569C2×C4—1884no—
1570C2×C4—1884no—
1571C2×C4—1884no—
1572C2×C4—1884no—
1573C2×C4—1884no—
1574C2×C4—1884no—
1575C2×C4C2×D4×D4712yes—
1576C2×C4C2×D4×D4712yes—
1577C2×C4#41×D4712yes—
1578C2×C4#41×D4712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
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—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—474no—
1601C22—942no—
1602C22—942no—
1603C22—942no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—3768no—
1608C22—1881no—
1609C22—1881no—
1610C22—1881no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22C22×D4×D4711yescharacteristic
1623C22C2×#41×D4711yescharacteristic
1624C22C2×#41×D4711yescharacteristic
1625C22H(5,𝔽2)×D4711yescharacteristic
1626C22#1568995811yescharacteristic
1627C22#1568995911yescharacteristic
1628C22#1568995911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—942no—
1642C4—942no—
1643C4—942no—
1644C4—942no—
1645C4—942no—
1646C4—942no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—944no—
1658C2—3761no—
1659C2—3761no—
1660C2#532×D4711yescharacteristic
1661C2#2025677111yescharacteristic
1662C2#2025679911yescharacteristic
1663C2#2025714811yescharacteristic
1664C2#2025717411yescharacteristic
1665C2#2025732711yescharacteristic
1666C2#2025745311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2557C2
hypercenter#2557D47
hypocenterC47#35009
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C2×#15689707C2semidirect
3. #20251762C2semidirect
4. #20251752C2semidirect
5. #20251716C2semidirect
6. #20251685C2semidirect
7. #20249556C2semidirect
8. #20249537C2semidirect
9. #20249534C2semidirect
10. #20249513C2semidirect
11. #20248532C2semidirect
12. #20248511C2semidirect
13. #20248504C2semidirect
14. #20248397C2semidirect
15. #20248347C2semidirect
16. #20248317C2semidirect
17. #20248276C2semidirect
18. #20248088C2semidirect
19. #20248066C2semidirect
20. #20247707C2semidirect
21. #20247507C2semidirect
22. #20247391C2semidirect
23. #20247360C2semidirect
24. #20246942C2semidirect
25. #20246927C2semidirect
26. #20246061C2semidirect
27. #20246044C2semidirect
28. C4×#13093997C2semidirect
29. #388×D47C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C47×#2557C2semidirect
36. C2×#13094017C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094014C22semidirect
47. C2×#13094005C22semidirect
48. C2×#13094003C22semidirect
50. C2×#13094001C22semidirect
64. C2×C4×C22⋊D47C22semidirect
71. C22×C4×Dic47C22semidirect
73. #15689065C22semidirect
74. #15689063C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689054C22semidirect
81. #15689051C22semidirect
82. #15689051C22semidirect
84. #15689047C22semidirect
87. #15689044C22semidirect
88. #15689042C22semidirect
91. #15689039C22semidirect
95. #15689038C22semidirect
100. #15689031C22semidirect
101. #15689030C22semidirect
102. #15689027C22semidirect
110. #15689023C22semidirect
111. #15689022C22semidirect
112. #15689021C22semidirect
113. #15689020C22semidirect
114. #15689020C22semidirect
115. #15689020C22semidirect
116. #15689019C22semidirect
119. #15689017C22semidirect
121. #15689016C22semidirect
122. #15689016C22semidirect
127. #15689015C22semidirect
128. #15689015C22semidirect
129. #15689015C22semidirect
135. #15689012C22semidirect
136. #15689012C22semidirect
141. #15689011C22semidirect
142. #15689007C22semidirect
146. #15689002C22semidirect
149. #15689000C22semidirect
154. #15688997C22semidirect
155. #15688994C22semidirect
156. #15688987C22semidirect
159. #15688981C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. C4×Dic47⋊C4C22semidirect
163. #15688974C22semidirect
164. #15688974C22semidirect
165. C22⋊C4×Dic47C22semidirect
166. C22⋊C4×Dic47C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
173. C42×Dic47C22semidirect
175. C2×#123×C47C22semidirect
177. C47×#397C22semidirect
178. C47×#393C22semidirect
180. C47×#391C22semidirect
183. C47×#387C22semidirect
186. C47×#386C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
241. (C22⋊D47)⋊C4D4semidirect
834. #2557D47semidirect
882. C2×#123C2×D47semidirect
919. #397C2×D47semidirect
935. #393C2×D47semidirect
942. #391C2×D47semidirect
985. #387C2×D47semidirect
997. #386C2×D47semidirect
1017. C4×C22⋊C4C2×D47semidirect
1018. C4×C22⋊C4C2×D47semidirect
1022. C47#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C2×#156897072
#202517622
#202517522
#202517162
#202516852
#202495562
#202495372
#202495342
#202495132
#202485322
#202485112
#202485042
#202483972
#202483472
#202483172
#202482762
#202480882
#202480662
#202477072
#202475072
#202473912
#202473602
#202469422
#202469272
#202460612
#202460442
C4×#130939972
#388×D472
C4×(C22⋊D47)⋊C42
C47×#25572
#3500947