Finite Group Databasebeta

← #26389268

Subgroups — #26389268

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×#15689719C211yesmaximal, characteristic, complemented
2C2×#15689709C211yesmaximal, characteristic, complemented
3#20251757C211yesmaximal, characteristic, complemented
4#20251756C211yesmaximal, characteristic, complemented
5#20251717C211yesmaximal, characteristic, complemented
6#20251691C211yesmaximal, characteristic, complemented
7#20249551C211yesmaximal, characteristic, complemented
8#20249531C211yesmaximal, characteristic, complemented
9#20249514C211yesmaximal, characteristic, complemented
10#20248535C211yesmaximal, characteristic, complemented
11#20248512C211yesmaximal, characteristic, complemented
12#20248505C211yesmaximal, characteristic, complemented
13#20248482C211yesmaximal, characteristic, complemented
14#20248393C211yesmaximal, characteristic, complemented
15#20248345C211yesmaximal, characteristic, complemented
16#20248315C211yesmaximal, characteristic, complemented
17#20248273C211yesmaximal, characteristic, complemented
18#20248084C211yesmaximal, characteristic, complemented
19#20248056C211yesmaximal, characteristic, complemented
20#20247715C211yesmaximal, characteristic, complemented
21#20247517C211yesmaximal, characteristic, complemented
22#20247395C211yesmaximal, characteristic, complemented
23#20247358C211yesmaximal, characteristic, complemented
24#20246942C211yesmaximal, characteristic, complemented
25#20246925C211yesmaximal, characteristic, complemented
26#20246052C211yesmaximal, characteristic, complemented
27#20246041C211yesmaximal, characteristic, complemented
28#20245896C211yesmaximal, characteristic, complemented
29#388×D47C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C47×#2663C211yesmaximal, characteristic, complemented
32#15689719—28no—
33#15689709—28no—
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094013C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43C2×#13094009C2211yescharacteristic
44C2×#13094009C2211yescharacteristic
45C2×#13094009C2211yescharacteristic
46C2×#13094007C2211yescharacteristic, complemented
47C2×#13094006C2211yescharacteristic
48C2×#13094006C2211yescharacteristic, complemented
49C2×#13094004C2211yescharacteristic
50C2×#13094000C2211yescharacteristic
51C2×#13094000C2211yescharacteristic, complemented
52C2×#13093999C2211yescharacteristic
53C2×#13093998C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093997C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093994C2211yescharacteristic
59C2×#13093994C2211yescharacteristic
60C2×#13093992C2211yescharacteristic
61C2×#13093986C2211yescharacteristic
62C2×#13093986C2211yescharacteristic
63C2×#13093986C2211yescharacteristic, complemented
64C2×C4×C22⋊D47C2211yescharacteristic
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#15689058C2211yescharacteristic
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689054C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic
80#15689050C2211yescharacteristic, complemented
81#15689047C2211yescharacteristic
82#15689047C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic
84#15689045C2211yescharacteristic
85#15689044C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic
87#15689041C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic
92#15689036C2211yescharacteristic, complemented
93#15689033C2211yescharacteristic
94#15689032C2211yescharacteristic
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic, complemented
97#15689030C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689025C2211yescharacteristic
101#15689025C2211yescharacteristic, complemented
102#15689024C2211yescharacteristic
103#15689024C2211yescharacteristic
104#15689024C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689022C2211yescharacteristic, complemented
110#15689019C2211yescharacteristic, complemented
111#15689018C2211yescharacteristic, complemented
112#15689018C2211yescharacteristic, complemented
113#15689017C2211yescharacteristic
114#15689017C2211yescharacteristic
115#15689016C2211yescharacteristic
116#15689016C2211yescharacteristic
117#15689016C2211yescharacteristic
118#15689015C2211yescharacteristic
119#15689015C2211yescharacteristic
120#15689015C2211yescharacteristic, complemented
121#15689015C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic
123#15689014C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic
125#15689013C2211yescharacteristic
126#15689013C2211yescharacteristic, complemented
127#15689013C2211yescharacteristic, complemented
128#15689013C2211yescharacteristic, complemented
129#15689013C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic
131#15689012C2211yescharacteristic
132#15689012C2211yescharacteristic
133#15689012C2211yescharacteristic, complemented
134#15689012C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic
136#15689011C2211yescharacteristic
137#15689009C2211yescharacteristic, complemented
138#15689005C2211yescharacteristic, complemented
139#15689003C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689001C2211yescharacteristic
143#15689001C2211yescharacteristic
144#15689001C2211yescharacteristic
145#15689000C2211yescharacteristic
146#15689000C2211yescharacteristic
147#15689000C2211yescharacteristic, complemented
148#15689000C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic
151#15688997C2211yescharacteristic
152#15688997C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic, complemented
155#15688988C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic
157#15688981C2211yescharacteristic, complemented
158#15688980C2211yescharacteristic
159#15688978C2211yescharacteristic
160C4⋊C4×Dic47C2211yescharacteristic, complemented
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162#15688974C2211yescharacteristic, complemented
163#15688974C2211yescharacteristic, complemented
164C22⋊C4×Dic47C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#399C2211yescharacteristic
178C47×#397C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#395C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic
182C47×#394C2211yescharacteristic
183C47×#393C2211yescharacteristic
184C47×#389C2211yescharacteristic, complemented
185C47×#389C2211yescharacteristic, complemented
186C47×#388C2211yescharacteristic
187C47×#388C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094019—24no—
213#13094019—24no—
214#13094017—24no—
215#13094017—24no—
216#13094014—24no—
217#13094014—24no—
218#13094013—42no—
219#13094010—24no—
220#13094010—24no—
221#13094009—24no—
222#13094009—24no—
223#13094009—24no—
224#13094007—24no—
225#13094006—24no—
226#13094006—24no—
227#13094004—24no—
228#13094000—24no—
229#13094000—24no—
230#13093999—24no—
231#13093998—24no—
232#13093997—24no—
233#13093997—24no—
234#13093996—42no—
235#13093995—24no—
236#13093994—24no—
237#13093994—24no—
238#13093992—24no—
239#13093986—24no—
240#13093986—24no—
241#13093986—42no—
242C4×C22⋊D47D418yescomplemented
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
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
266C4⋊C4×D47—24no—
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
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
308C22⋊C4×D47—24no—
309C22⋊C4×D47—24no—
310C22⋊C4×D47—42no—
311C2×C4×Dic47—42no—
312C2×C4×Dic47C2311yescharacteristic
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
350C23×C4×C47C2311yescharacteristic
351#123×C47—24no—
352C22⋊Q8×C47—24no—
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×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×C22⋊C4×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
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
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—41no—
403C2×D4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47C2×D414yes—
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
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
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47C2×D414yes—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—22no—
459C2×D188—22no—
460C2×D188—22no—
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—22no—
465C2×D188—41no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
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×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—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C42×C47—41no—
519C42×C47—41no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—41no—
526C22⋊Dic47C2×D414yes—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
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—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
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)⋊C4C2×D414yes—
560(C2×D47)⋊C4#4114yes—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
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—22no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581Dic47⋊C4C2×D414yes—
582C4×Dic47—22no—
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×C47C22×D412yes—
609C23×C47C2511yescharacteristic
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
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—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—
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—44no—
683C2×C4×C47C22×D412yes—
684C2×C4×C47C22×D412yes—
685C2×C4×C47C2×#4112yes—
686C2×C4×C47C2×#4112yes—
687C22⋊D47—28no—
688C22⋊D47—82no—
689C22⋊D47—82no—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—44no—
724C2×Dic47—44no—
725C2×Dic47C22×D412yes—
726C2×Dic47C22×D412yes—
727C2×Dic47C22×D412yes—
728C2×Dic47C2×#4112yes—
729C2×Dic47C2×#4112yes—
730C2×Dic47H(5,𝔽2)12yes—
731D188—44no—
732D188—44no—
733D188—44no—
734D188—82no—
735D188—82no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—82no—
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×C47C23×D411yescharacteristic
761C22×C47C22×#4111yescharacteristic
762C22×C47C22×#4111yescharacteristic
763C22×C47C2×H(5,𝔽2)11yescharacteristic
764C22×C47#58511yescharacteristic
765C22×C47#58511yescharacteristic
766C22×C47#58511yescharacteristic
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
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—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—
808C4×C47—41no—
809Dic47—22no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—22no—
814Dic47—22no—
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#2663D4711yescharacteristic, complemented
829#2662—471no—
830#2661—471no—
831#2560—471no—
832#2559—471no—
833#2558—471no—
834#2557—471no—
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×C47C2×#53211yescharacteristic
855C2×C47#345511yescharacteristic
856C2×C47#345911yescharacteristic
857C2×C47#349611yescharacteristic
858C2×C47#350011yescharacteristic
859C2×C47#351311yescharacteristic
860C2×C47#352111yescharacteristic
861D47—24no—
862D47—81no—
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×#124—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123C2×D4711yescharacteristic
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8C2×D4711yescharacteristic, complemented
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#400C2×D4711yescharacteristic, complemented
910#399—471no—
911#399C2×D4711yescharacteristic
912#398—471no—
913#398—471no—
914#398—471no—
915#398—471no—
916#397—471no—
917#397—471no—
918#397C2×D4711yescharacteristic, complemented
919#397C2×D4711yescharacteristic, complemented
920#396—471no—
921#396—471no—
922#396—471no—
923#396—471no—
924#395—471no—
925#395C2×D4711yescharacteristic, complemented
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394C2×D4711yescharacteristic
933#394C2×D4711yescharacteristic
934#393—471no—
935#393C2×D4711yescharacteristic
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#391—471no—
941#391—471no—
942#391—471no—
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#390—471no—
952#389—471no—
953#389—471no—
954#389—471no—
955#389—471no—
956#389C2×D4711yescharacteristic, complemented
957#389C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic
983#388C2×D4711yescharacteristic
984#387—471no—
985#387—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#386—471no—
997#386—471no—
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⋊C4—471no—
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×D4—471no—
1036C22×D4—471no—
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×C4—471no—
1048C23×C4C22×D4711yescharacteristic
1049#126—944no—
1050#126—944no—
1051#126—944no—
1052#126—944no—
1053#125—944no—
1054#125—944no—
1055#124—944no—
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—24no—
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—944no—
1106C2×C4⋊C4C22×D4711yescharacteristic
1107C2×C4⋊C4C22×D4711yescharacteristic
1108C2×C4⋊C4C22×D4711yescharacteristic
1109C2×C4⋊C4C22×D4711yescharacteristic
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—944no—
1157C2×C22⋊C4—944no—
1158C2×C22⋊C4—1882no—
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—471no—
1183C2×C42—1882no—
1184C2×C42—1882no—
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—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
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—41no—
1240C2×D4—41no—
1241C2×D4—474no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
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—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—474no—
1283C22×C4—474no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
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—1881no—
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—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4D4×D4714yes—
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
1331C22×C4C23×D4711yescharacteristic
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—474no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—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—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—474no—
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—1881no—
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⋊C4—1881no—
1414C42—41no—
1415C42—41no—
1416C42—474no—
1417C42—942no—
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—472no—
1443C23—472no—
1444C23—472no—
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—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—948no—
1483D4—3762no—
1484D4—3762no—
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—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—472no—
1530C2×C4—472no—
1531C2×C4—472no—
1532C2×C4—472no—
1533C2×C4—472no—
1534C2×C4—472no—
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—3762no—
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—474no—
1594C22—942no—
1595C22—942no—
1596C22—942no—
1597C22—942no—
1598C22—942no—
1599C22—942no—
1600C22—3768no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
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#1568996011yescharacteristic
1628C22#1568996011yescharacteristic
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—41no—
1642C4—942no—
1643C4—942no—
1644C4—942no—
1645C4—942no—
1646C4—942no—
1647C4—942no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C2—42no—
1655C2—81no—
1656C2—944no—
1657C2—3761no—
1658C2—3761no—
1659C2—3761no—
1660C2#532×D4711yescharacteristic
1661C2#2025677511yescharacteristic
1662C2#2025679611yescharacteristic
1663C2#2025714911yescharacteristic
1664C2#2025717711yescharacteristic
1665C2#2025733411yescharacteristic
1666C2#2025744611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2663C2
hypercenter#2663D47
hypocenterC47#35009
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
1. C2×#15689719C2semidirect
2. C2×#15689709C2semidirect
3. #20251757C2semidirect
4. #20251756C2semidirect
5. #20251717C2semidirect
6. #20251691C2semidirect
7. #20249551C2semidirect
8. #20249531C2semidirect
9. #20249514C2semidirect
10. #20248535C2semidirect
11. #20248512C2semidirect
12. #20248505C2semidirect
13. #20248482C2semidirect
14. #20248393C2semidirect
15. #20248345C2semidirect
16. #20248315C2semidirect
17. #20248273C2semidirect
18. #20248084C2semidirect
19. #20248056C2semidirect
20. #20247715C2semidirect
21. #20247517C2semidirect
22. #20247395C2semidirect
23. #20247358C2semidirect
24. #20246942C2semidirect
25. #20246925C2semidirect
26. #20246052C2semidirect
27. #20246041C2semidirect
28. #20245896C2semidirect
29. #388×D47C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C47×#2663C2semidirect
35. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094014C22semidirect
39. C2×#13094014C22semidirect
46. C2×#13094007C22semidirect
48. C2×#13094006C22semidirect
51. C2×#13094000C22semidirect
63. C2×#13093986C22semidirect
71. C22×C4×Dic47C22semidirect
73. #15689065C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689055C22semidirect
78. #15689054C22semidirect
80. #15689050C22semidirect
82. #15689047C22semidirect
85. #15689044C22semidirect
87. #15689041C22semidirect
90. #15689039C22semidirect
92. #15689036C22semidirect
96. #15689032C22semidirect
97. #15689030C22semidirect
98. #15689027C22semidirect
99. #15689027C22semidirect
101. #15689025C22semidirect
109. #15689022C22semidirect
110. #15689019C22semidirect
111. #15689018C22semidirect
112. #15689018C22semidirect
120. #15689015C22semidirect
121. #15689015C22semidirect
123. #15689014C22semidirect
126. #15689013C22semidirect
127. #15689013C22semidirect
128. #15689013C22semidirect
129. #15689013C22semidirect
133. #15689012C22semidirect
134. #15689012C22semidirect
137. #15689009C22semidirect
138. #15689005C22semidirect
147. #15689000C22semidirect
148. #15689000C22semidirect
149. #15689000C22semidirect
152. #15688997C22semidirect
154. #15688994C22semidirect
155. #15688988C22semidirect
157. #15688981C22semidirect
160. C4⋊C4×Dic47C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. #15688974C22semidirect
163. #15688974C22semidirect
164. C22⋊C4×Dic47C22semidirect
165. C22⋊C4×Dic47C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
173. C42×Dic47C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
176. C47×#400C22semidirect
178. C47×#397C22semidirect
179. C47×#397C22semidirect
180. C47×#395C22semidirect
184. C47×#389C22semidirect
185. C47×#389C22semidirect
188. C4×C22⋊C4×C47C22semidirect
242. C4×C22⋊D47D4semidirect
828. #2663D47semidirect
886. C2×C22⋊Q8C2×D47semidirect
909. #400C2×D47semidirect
918. #397C2×D47semidirect
919. #397C2×D47semidirect
925. #395C2×D47semidirect
956. #389C2×D47semidirect
957. #389C2×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×#156897192
C2×#156897092
#202517572
#202517562
#202517172
#202516912
#202495512
#202495312
#202495142
#202485352
#202485122
#202485052
#202484822
#202483932
#202483452
#202483152
#202482732
#202480842
#202480562
#202477152
#202475172
#202473952
#202473582
#202469422
#202469252
#202460522
#202460412
#202458962
#388×D472
C4×(C22⋊D47)⋊C42
C47×#26632
#3500947