Finite Group Databasebeta

← #26386475

Subgroups — #26386475

Order 12032.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689650C211yesmaximal, characteristic, complemented
2C2×#15689636C211yesmaximal, characteristic, complemented
3#20248535C211yesmaximal, characteristic, complemented
4#20248520C211yesmaximal, characteristic, complemented
5#20248505C211yesmaximal, characteristic, complemented
6#20248490C211yesmaximal, characteristic, complemented
7#20248477C211yesmaximal, characteristic, complemented
8#20248464C211yesmaximal, characteristic, complemented
9#20248455C211yesmaximal, characteristic, complemented
10#20248440C211yesmaximal, characteristic, complemented
11#20248396C211yesmaximal, characteristic, complemented
12#20248352C211yesmaximal, characteristic, complemented
13#20248318C211yesmaximal, characteristic, complemented
14#20248283C211yesmaximal, characteristic, complemented
15#20247514C211yesmaximal, characteristic, complemented
16#20246939C211yesmaximal, characteristic, complemented
17#20246926C211yesmaximal, characteristic, complemented
18#20246661C211yesmaximal, characteristic, complemented
19#20246654C211yesmaximal, characteristic, complemented
20#20246625C211yesmaximal, characteristic, complemented
21#20246605C211yesmaximal, characteristic, complemented
22#20245927C211yesmaximal, characteristic, complemented
23#20245905C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26#20245893C211yesmaximal, characteristic, complemented
27#20245877C211yesmaximal, characteristic, complemented
28#20245848C211yesmaximal, characteristic, complemented
29C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
30C2×#15688970C211yesmaximal, characteristic, complemented
31C47×#2488C211yesmaximal, characteristic, complemented
32C22×#10625354C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689650—28no—
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094012C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40#15689636—28no—
41C2×#13094009C2211yescharacteristic
42C2×#13094009C2211yescharacteristic
43C2×#13094007C2211yescharacteristic
44C2×#13094007C2211yescharacteristic
45C2×#13094001C2211yescharacteristic
46C2×#13094000C2211yescharacteristic
47C2×#13093999C2211yescharacteristic
48C2×#13093998C2211yescharacteristic
49C2×#13093997C2211yescharacteristic
50C2×#13093996C2211yescharacteristic
51C2×#13093996C2211yescharacteristic
52C2×#13093994C2211yescharacteristic
53C2×#13093994C2211yescharacteristic
54C2×#13093992C2211yescharacteristic
55C2×#13093989C2211yescharacteristic, complemented
56C2×D4×Dic47C2211yescharacteristic
57C2×#13093986C2211yescharacteristic
58C2×#13093986C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
67C2×#13093982C2211yescharacteristic
68C2×#13093982C2211yescharacteristic, complemented
69C2×#13093980C2211yescharacteristic, complemented
70C22×(C2×D47)⋊C4C2211yescharacteristic
71C22×(C2×D47)⋊C4C2211yescharacteristic
72C22×C4×Dic47C2211yescharacteristic
73C22×C4×Dic47C2211yescharacteristic
74C2×C42×D47C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic
76#15689058C2211yescharacteristic
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689053C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic, complemented
83#15689050C2211yescharacteristic
84#15689047C2211yescharacteristic
85#15689047C2211yescharacteristic
86#15689047C2211yescharacteristic
87#15689047C2211yescharacteristic, complemented
88#15689043C2211yescharacteristic, complemented
89#15689042C2211yescharacteristic, complemented
90#15689041C2211yescharacteristic
91#15689041C2211yescharacteristic
92#15689041C2211yescharacteristic
93#15689041C2211yescharacteristic
94#15689041C2211yescharacteristic
95#15689041C2211yescharacteristic, complemented
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic, complemented
98#15689036C2211yescharacteristic
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689032C2211yescharacteristic
102#15689032C2211yescharacteristic, complemented
103#15689030C2211yescharacteristic, complemented
104#15689028C2211yescharacteristic, complemented
105#15689025C2211yescharacteristic
106#15689024C2211yescharacteristic
107#15689024C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic, complemented
112#15689020C2211yescharacteristic, complemented
113#15689020C2211yescharacteristic, complemented
114#15689018C2211yescharacteristic, complemented
115#15689018C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic
119#15689014C2211yescharacteristic
120#15689012C2211yescharacteristic
121#15689012C2211yescharacteristic
122#15689012C2211yescharacteristic
123#15689012C2211yescharacteristic, complemented
124#15689012C2211yescharacteristic, complemented
125#15689012C2211yescharacteristic, complemented
126#15689012C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic, complemented
128#15689005C2211yescharacteristic, complemented
129#15689005C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688996C2211yescharacteristic
143#15688995C2211yescharacteristic
144#15688982C2211yescharacteristic, complemented
145#15688981C2211yescharacteristic
146#15688978C2211yescharacteristic
147C4×Dic47⋊C4C2211yescharacteristic, complemented
148#15688974C2211yescharacteristic, complemented
149#15688974C2211yescharacteristic, complemented
150#15688974C2211yescharacteristic, complemented
151#15688974C2211yescharacteristic, complemented
152#15688974C2211yescharacteristic, complemented
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic, complemented
156C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#400C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#382C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C2×#95×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625354—24no—
191C2×#10625354—24no—
192C2×#10625354—42no—
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47—24no—
210C22×C4×D47—24no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094019—24no—
221#13094017—24no—
222#13094014—24no—
223#13094012—24no—
224#13094010—24no—
225#13094009—24no—
226#13094009—24no—
227#13094007—24no—
228#13094007—24no—
229#13094001—24no—
230#13094000—24no—
231#13093999—24no—
232#13093998—24no—
233#13093997—24no—
234#13093996—24no—
235#13093996—24no—
236#13093994—24no—
237#13093994—24no—
238#13093992—24no—
239#13093989—24no—
240D4×Dic47—24no—
241#13093986—24no—
242#13093986—24no—
243C4×C22⋊D47—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248(C22⋊D47)⋊C4—42no—
249(C22⋊D47)⋊C4—42no—
250(C22⋊D47)⋊C4D418yescomplemented
251#13093982—24no—
252#13093982—24no—
253#13093980—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
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
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×(C2×D47)⋊C4—24no—
281C2×(C2×D47)⋊C4—24no—
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
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×C4×Dic47—24no—
317C2×C4×Dic47—42no—
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C2×C4×Dic47C2311yescharacteristic
331C2×C4×Dic47C2311yescharacteristic
332C2×C4×Dic47C2311yescharacteristic
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C42×D47—42no—
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×Q8×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360C22⋊Q8×C47—24no—
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×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
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×Q8×C47—22no—
405C2×Q8×C47—22no—
406C2×Q8×C47—41no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
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
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
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—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47C2×D414yes—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47C2×D414yes—
461C22×Dic47#4114yescomplemented
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474#10625354—416no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—22no—
479C2×D188—22no—
480C2×D188—22no—
481C2×D188—22no—
482C2×D188—22no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—41no—
486C2×D188—41no—
487C2×D188—41no—
488C2×D188—41no—
489C2×D188—41no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
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—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—416no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47C2×D414yes—
514C2×C4×D47#4114yes—
515C2×Dic94—22no—
516C2×Dic94—22no—
517C2×Dic94—41no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—22no—
522C4⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47C2×D414yes—
532C42×C47—22no—
533C42×C47—41no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47#4114yescomplemented
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
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—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4C2×D414yes—
572(C2×D47)⋊C4#4114yescomplemented
573C4⋊Dic47—22no—
574C4⋊Dic47—22no—
575C4⋊Dic47—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4C2×D414yes—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47C2×D414yes—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47C22×D412yes—
623C23×C47C2×#4112yes—
624C23×C47C2×#4112yes—
625C23×C47C2511yescharacteristic
626C22×D47—28no—
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—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47C22×D412yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661Q8×C47—44no—
662D4×C47—44no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
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—44no—
699C2×C4×C47—44no—
700C2×C4×C47—44no—
701C2×C4×C47C22×D412yes—
702C2×C4×C47C22×D412yes—
703C2×C4×C47C2×#4112yes—
704C2×C4×C47C2×#4112yes—
705C22⋊D47—28no—
706C22⋊D47—44no—
707C22⋊D47—44no—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
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—28no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—44no—
739C2×Dic47—44no—
740C2×Dic47—44no—
741C2×Dic47C22×D412yes—
742C2×Dic47C22×D412yes—
743C2×Dic47C22×D412yes—
744C2×Dic47C2×#4112yes—
745C2×Dic47C2×#4112yes—
746C2×Dic47C2×#4112yes—
747C2×Dic47C2×#4112yes—
748C2×Dic47C2×#4112yes—
749C2×Dic47C2×#4112yes—
750C2×Dic47H(5,𝔽2)12yes—
751D188—44no—
752D188—44no—
753D188—44no—
754D188—44no—
755D188—44no—
756C4×D47—28no—
757C4×D47—28no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764Dic94—44no—
765#34829—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47#53214yes—
780C22×C47C23×D411yescharacteristic
781C22×C47C22×#4111yescharacteristic
782C22×C47C22×#4111yescharacteristic
783C22×C47C22×#4111yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C2×H(5,𝔽2)11yescharacteristic
786C22×C47#58511yescharacteristic
787C2×D47—22no—
788C2×D47—22no—
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—22no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—416no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C4×C47—22no—
817C4×C47—22no—
818C4×C47—22no—
819C4×C47—22no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823C4×C47—41no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829Dic47—22no—
830Dic47—22no—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47#54614yes—
841C2×#529—471no—
842C2×#525—471no—
843#2560—471no—
844#2559—471no—
845#2558—471no—
846#2557—471no—
847#2556—471no—
848#2555—471no—
849#2554—471no—
850#2553—471no—
851#2549—471no—
852#2543—471no—
853#2539—471no—
854#2534—471no—
855#2488D4711yescharacteristic, complemented
856#2472—471no—
857#2425—471no—
858#2424—471no—
859#2396—471no—
860#2395—471no—
861#2392—471no—
862#2388—471no—
863C4×#124—471no—
864C4×#123—471no—
865C4×#121—471no—
866C4×#121—471no—
867C4×#120—471no—
868#2297—471no—
869#2293—471no—
870C42×D4—471no—
871C2×C4×C22⋊C4—471no—
872C2×C47—24no—
873C2×C47—81no—
874C2×C47C2×#53211yescharacteristic
875C2×C47#344411yescharacteristic
876C2×C47#345911yescharacteristic
877C2×C47C2×#54611yescharacteristic
878C2×C47D4×#4111yescharacteristic
879C2×C47#347511yescharacteristic
880C2×C47#348111yescharacteristic
881D47—42no—
882D47—42no—
883D47—42no—
884D47—81no—
885C22×#41—471no—
886C24×C4—471no—
887#529—948no—
888C2×#126—471no—
889C2×#126—471no—
890C2×#125—471no—
891C2×#124—471no—
892C2×#124—471no—
893#525—948no—
894C2×#123—471no—
895C2×#123—471no—
896C2×#123—471no—
897C2×#123—471no—
898C2×#123C2×D4711yescharacteristic
899C2×C22⋊Q8—471no—
900C2×C22⋊Q8—471no—
901C2×C22⋊Q8C2×D4711yescharacteristic
902C2×#121—471no—
903C2×#121—471no—
904C2×#121—471no—
905C2×#121—471no—
906C2×#121—471no—
907C2×#120—471no—
908C2×#120—471no—
909C2×#120—471no—
910C2×C4×Q8—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930#400C2×D4711yescharacteristic, complemented
931#400C2×D4711yescharacteristic, complemented
932#399—471no—
933#399—471no—
934#398—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397C2×D4711yescharacteristic, complemented
942#396—471no—
943#396—471no—
944#396—471no—
945#396—471no—
946#395—471no—
947#395—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394—471no—
955#394—471no—
956#393—471no—
957#393C2×D4711yescharacteristic, complemented
958#392—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#391—471no—
963#391—471no—
964#391C2×D4711yescharacteristic, complemented
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#390—471no—
970#390—471no—
971#390—471no—
972#389—471no—
973#389—471no—
974#389—471no—
975#389—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#388—471no—
985#388—471no—
986#388—471no—
987#388—471no—
988#388C2×D4711yescharacteristic, complemented
989#388C2×D4711yescharacteristic, complemented
990#387—471no—
991#387—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#382C2×D4711yescharacteristic, complemented
1009#381C2×D4711yescharacteristic
1010#380—471no—
1011#380—471no—
1012#379—471no—
1013C4×C4⋊C4—471no—
1014C4×C4⋊C4—471no—
1015C4×C4⋊C4—471no—
1016C4×C4⋊C4—471no—
1017C4×C4⋊C4—471no—
1018C4×C4⋊C4—471no—
1019C4×C22⋊C4—471no—
1020C4×C22⋊C4—471no—
1021C4×C22⋊C4—471no—
1022C4×C22⋊C4—471no—
1023C4×C22⋊C4—471no—
1024C4×C22⋊C4—471no—
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4C2×D4711yescharacteristic
1039C2×#95—471no—
1040C2×#95C2×D4711yescharacteristic
1041C43—471no—
1042C47#3482911yescharacteristic, complemented, Sylow
1043C25—471no—
1044C2×#41—944no—
1045C2×#41—944no—
1046C2×#41—1882no—
1047C22×Q8—471no—
1048C22×Q8C22×D4711yescharacteristic
1049C22×D4—471no—
1050C22×D4—471no—
1051C22×D4—471no—
1052C22×D4—471no—
1053C22×D4—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4C22×D4711yescharacteristic
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—944no—
1074C23×C4—944no—
1075C23×C4—1882no—
1076C23×C4C22×D4711yescharacteristic
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079#126—944no—
1080#126—944no—
1081#125—944no—
1082#124—944no—
1083#124—944no—
1084#123—24no—
1085#123—944no—
1086#123—944no—
1087#123—944no—
1088#123—944no—
1089C22⋊Q8—24no—
1090C22⋊Q8—944no—
1091C22⋊Q8—944no—
1092#121—944no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×D4—478no—
1102C4×D4—944no—
1103C4×D4—944no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—1882no—
1111C4×D4—1882no—
1112#117—944no—
1113#117—944no—
1114#117—944no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—944no—
1181C2×C22⋊C4—944no—
1182C2×C22⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C42—471no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—471no—
1206C2×C42—471no—
1207C2×C42—471no—
1208C2×C42—944no—
1209C2×C42—1882no—
1210C2×C42—1882no—
1211C2×C42C22×D4711yescharacteristic
1212C2×C42C22×D4711yescharacteristic
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245C24—471no—
1246C24—471no—
1247C24—471no—
1248C24—471no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—1881no—
1255C24—1881no—
1256C24C23×D4711yescharacteristic
1257C24C23×D4711yescharacteristic
1258#41—18816no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—942no—
1263C2×Q8—942no—
1264C2×Q8—1881no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—474no—
1269C2×D4—942no—
1270C2×D4—942no—
1271C2×D4—942no—
1272C2×D4—942no—
1273C2×D4—942no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—1881no—
1292C2×D4—1881no—
1293C2×D4—1881no—
1294C2×D4—1881no—
1295C2×D4—1881no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—471no—
1311C22×C4—474no—
1312C22×C4—471no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—474no—
1320C22×C4—474no—
1321C22×C4—474no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—942no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—1881no—
1351C22×C4—1881no—
1352C22×C4—1881no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—18816no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4C23×D4711yescharacteristic
1360C22×C4C23×D4711yescharacteristic
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4711yescharacteristic
1364C22×C4C23×D4711yescharacteristic
1365C22×C4C23×D4711yescharacteristic
1366C22×C4C23×D4711yescharacteristic
1367C22×C4C23×D4711yescharacteristic
1368C22×C4C23×D4711yescharacteristic
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—474no—
1378C4⋊C4—942no—
1379C4⋊C4—942no—
1380C4⋊C4—942no—
1381C4⋊C4—942no—
1382C4⋊C4—942no—
1383C4⋊C4—942no—
1384C4⋊C4—942no—
1385C4⋊C4—942no—
1386C4⋊C4—942no—
1387C4⋊C4—942no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—1881no—
1395C4⋊C4—1881no—
1396C4⋊C4—1881no—
1397C4⋊C4—1881no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—474no—
1407C22⋊C4—474no—
1408C22⋊C4—474no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4D4×D4714yes—
1446C42—22no—
1447C42—41no—
1448C42—474no—
1449C42—942no—
1450C42—942no—
1451C42—942no—
1452C42—942no—
1453C42—942no—
1454C42—942no—
1455C42—942no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—1881no—
1462C42—1881no—
1463C42—1881no—
1464C42—1881no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—472no—
1477C23—472no—
1478C23—472no—
1479C23—948no—
1480C23—941no—
1481C23—941no—
1482C23—941no—
1483C23—941no—
1484C23—941no—
1485C23—941no—
1486C23—941no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—1884no—
1506C23—1884no—
1507C23—1884no—
1508C23—1884no—
1509C23—1884no—
1510C23—1884no—
1511C23C2×D4×D4712yes—
1512C23#41×D4712yes—
1513C23#41×D4712yes—
1514C23C24×D4711yescharacteristic
1515Q8—44no—
1516Q8—1884no—
1517D4—44no—
1518D4—948no—
1519D4—1884no—
1520D4—1884no—
1521D4—1884no—
1522D4—1884no—
1523D4—1884no—
1524D4—1884no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—472no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—472no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—948no—
1578C2×C4—948no—
1579C2×C4—948no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4—1884no—
1610C2×C4—1884no—
1611C2×C4—1884no—
1612C2×C4—1884no—
1613C2×C4—1884no—
1614C2×C4—1884no—
1615C2×C4C2×D4×D4712yes—
1616C2×C4C2×D4×D4712yes—
1617C2×C4#41×D4712yes—
1618C2×C4#41×D4712yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—942no—
1633C22—942no—
1634C22—942no—
1635C22—942no—
1636C22—942no—
1637C22—942no—
1638C22—942no—
1639C22—942no—
1640C22—942no—
1641C22—18816no—
1642C22—1881no—
1643C22—1881no—
1644C22—1881no—
1645C22—1881no—
1646C22—1881no—
1647C22—1881no—
1648C22—1881no—
1649C22—1881no—
1650C22—1881no—
1651C22—1881no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22#1568967214yes—
1662C22C22×D4×D4711yescharacteristic
1663C22C2×#41×D4711yescharacteristic
1664C22C2×#41×D4711yescharacteristic
1665C22C2×#41×D4711yescharacteristic
1666C22C2×#41×D4711yescharacteristic
1667C22H(5,𝔽2)×D4711yescharacteristic
1668C22#1568996011yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—474no—
1683C4—942no—
1684C4—942no—
1685C4—942no—
1686C4—942no—
1687C4—942no—
1688C4—942no—
1689C4—942no—
1690C4—1881no—
1691C4—1881no—
1692C4—1881no—
1693C4—1881no—
1694C2—24no—
1695C2—81no—
1696C2—3761no—
1697C2—1882no—
1698C2—1882no—
1699C2—1882no—
1700C2C2×#1568967211yescharacteristic
1701C2#2025668211yescharacteristic
1702C2#2025679611yescharacteristic
1703C2#546×D4711yescharacteristic
1704C2#2025687511yescharacteristic
1705C2#2025694111yescharacteristic
1706C2#2025699111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2488C2
hypercenter#2488D47
hypocenterC47#34829
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#15689650C2semidirect
2. C2×#15689636C2semidirect
3. #20248535C2semidirect
4. #20248520C2semidirect
5. #20248505C2semidirect
6. #20248490C2semidirect
7. #20248477C2semidirect
8. #20248464C2semidirect
9. #20248455C2semidirect
10. #20248440C2semidirect
11. #20248396C2semidirect
12. #20248352C2semidirect
13. #20248318C2semidirect
14. #20248283C2semidirect
15. #20247514C2semidirect
16. #20246939C2semidirect
17. #20246926C2semidirect
18. #20246661C2semidirect
19. #20246654C2semidirect
20. #20246625C2semidirect
21. #20246605C2semidirect
22. #20245927C2semidirect
23. #20245905C2semidirect
24. #20245900C2semidirect
25. #20245898C2semidirect
26. #20245893C2semidirect
27. #20245877C2semidirect
28. #20245848C2semidirect
29. C4×(C22⋊D47)⋊C4C2semidirect
30. C2×#15688970C2semidirect
31. C47×#2488C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094014C22semidirect
39. C2×#13094010C22semidirect
55. C2×#13093989C22semidirect
65. C2×(C22⋊D47)⋊C4C22semidirect
66. C2×(C22⋊D47)⋊C4C22semidirect
68. C2×#13093982C22semidirect
69. C2×#13093980C22semidirect
74. C2×C42×D47C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689054C22semidirect
80. #15689053C22semidirect
81. #15689052C22semidirect
82. #15689052C22semidirect
87. #15689047C22semidirect
88. #15689043C22semidirect
89. #15689042C22semidirect
95. #15689041C22semidirect
97. #15689038C22semidirect
102. #15689032C22semidirect
103. #15689030C22semidirect
104. #15689028C22semidirect
111. #15689023C22semidirect
112. #15689020C22semidirect
113. #15689020C22semidirect
114. #15689018C22semidirect
115. #15689018C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
123. #15689012C22semidirect
124. #15689012C22semidirect
125. #15689012C22semidirect
126. #15689012C22semidirect
127. #15689011C22semidirect
128. #15689005C22semidirect
129. #15689005C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
139. #15688999C22semidirect
144. #15688982C22semidirect
147. C4×Dic47⋊C4C22semidirect
148. #15688974C22semidirect
149. #15688974C22semidirect
150. #15688974C22semidirect
151. #15688974C22semidirect
152. #15688974C22semidirect
155. C22⋊C4×Dic47C22semidirect
156. C4×(C2×D47)⋊C4C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
173. C42×Dic47C22semidirect
176. C47×#400C22semidirect
177. C47×#400C22semidirect
178. C47×#397C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
185. C47×#382C22semidirect
250. (C22⋊D47)⋊C4D4semidirect
461. C22×Dic47#41semidirect
538. C22⋊Dic47#41semidirect
572. (C2×D47)⋊C4#41semidirect
855. #2488D47semidirect
930. #400C2×D47semidirect
931. #400C2×D47semidirect
941. #397C2×D47semidirect
957. #393C2×D47semidirect
964. #391C2×D47semidirect
988. #388C2×D47semidirect
989. #388C2×D47semidirect
1008. #382C2×D47semidirect
1042. C47#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#156896502
C2×#156896362
#202485352
#202485202
#202485052
#202484902
#202484772
#202484642
#202484552
#202484402
#202483962
#202483522
#202483182
#202482832
#202475142
#202469392
#202469262
#202466612
#202466542
#202466252
#202466052
#202459272
#202459052
#202459002
#202458982
#202458932
#202458772
#202458482
C4×(C22⋊D47)⋊C42
C2×#156889702
C47×#24882
#3482947