Finite Group Databasebeta

← #26389231

Subgroups — #26389231

Order 12032.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689712C211yesmaximal, characteristic, complemented
2C2×#15689709C211yesmaximal, characteristic, complemented
3#20251754C211yesmaximal, characteristic, complemented
4#20251742C211yesmaximal, characteristic, complemented
5#20251732C211yesmaximal, characteristic, complemented
6#20251715C211yesmaximal, characteristic, complemented
7#20249526C211yesmaximal, characteristic, complemented
8#20249524C211yesmaximal, characteristic, complemented
9#20249521C211yesmaximal, characteristic, complemented
10#20249519C211yesmaximal, characteristic, complemented
11#20248462C211yesmaximal, characteristic, complemented
12#20248457C211yesmaximal, characteristic, complemented
13#20248442C211yesmaximal, characteristic, complemented
14#20247973C211yesmaximal, characteristic, complemented
15#20247750C211yesmaximal, characteristic, complemented
16#20247520C211yesmaximal, characteristic, complemented
17#20247512C211yesmaximal, characteristic, complemented
18#20247152C211yesmaximal, characteristic, complemented
19#20247085C211yesmaximal, characteristic, complemented
20#20247020C211yesmaximal, characteristic, complemented
21#20246975C211yesmaximal, characteristic, complemented
22#20246931C211yesmaximal, characteristic, complemented
23#20246929C211yesmaximal, characteristic, complemented
24#20246823C211yesmaximal, characteristic, complemented
25#20246739C211yesmaximal, characteristic, complemented
26#20246050C211yesmaximal, characteristic, complemented
27#20246044C211yesmaximal, characteristic, complemented
28C4×#13093997C211yesmaximal, characteristic, complemented
29#390×D47C211yesmaximal, characteristic, complemented
30C4×#13093986C211yesmaximal, characteristic, complemented
31C47×#2554C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33#15689712—28no—
34#15689709—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094020C2211yescharacteristic
37C2×#13094020C2211yescharacteristic
38C2×#13094019C2211yescharacteristic, complemented
39C2×#13094019C2211yescharacteristic, complemented
40C2×#13094017C2211yescharacteristic, complemented
41C2×#13094012C2211yescharacteristic, complemented
42C2×#13094010C2211yescharacteristic, complemented
43C2×#13094010C2211yescharacteristic, complemented
44C2×#13094010C2211yescharacteristic, complemented
45C2×#13094010C2211yescharacteristic, complemented
46C2×#13094010C2211yescharacteristic, complemented
47C2×#13094009C2211yescharacteristic, complemented
48C2×#13094009C2211yescharacteristic, complemented
49C2×#13094006C2211yescharacteristic, complemented
50C2×#13094004C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13093999C2211yescharacteristic
53C2×#13093999C2211yescharacteristic, complemented
54C2×#13093998C2211yescharacteristic, complemented
55C2×#13093997C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093997C2211yescharacteristic
58C2×#13093997C2211yescharacteristic
59C2×#13093997C2211yescharacteristic, complemented
60C2×#13093997C2211yescharacteristic, complemented
61C2×#13093997C2211yescharacteristic, complemented
62C2×#13093997C2211yescharacteristic, complemented
63C2×#13093995C2211yescharacteristic, complemented
64C2×#13093994C2211yescharacteristic
65C2×#13093994C2211yescharacteristic
66C2×#13093994C2211yescharacteristic
67C2×#13093994C2211yescharacteristic
68C2×#13093992C2211yescharacteristic
69C2×#13093992C2211yescharacteristic
70C2×C4×D188C2211yescharacteristic
71C2×C4×D188C2211yescharacteristic
72C2×#13093986C2211yescharacteristic
73C2×#13093986C2211yescharacteristic
74C2×C4×C22⋊D47C2211yescharacteristic
75C2×C4×C22⋊D47C2211yescharacteristic, complemented
76C2×C4⋊C4×D47C2211yescharacteristic
77C2×C22⋊C4×D47C2211yescharacteristic
78C2×C22⋊C4×D47C2211yescharacteristic
79C2×C22⋊C4×D47C2211yescharacteristic
80C2×C22⋊C4×D47C2211yescharacteristic
81C2×C42×D47C2211yescharacteristic
82C2×C42×D47C2211yescharacteristic, complemented
83#15689055C2211yescharacteristic, complemented
84#15689049C2211yescharacteristic, complemented
85#15689048C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689040C2211yescharacteristic
92#15689040C2211yescharacteristic, complemented
93#15689040C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic, complemented
99#15689039C2211yescharacteristic, complemented
100#15689038C2211yescharacteristic, complemented
101#15689037C2211yescharacteristic, complemented
102#15689036C2211yescharacteristic, complemented
103#15689035C2211yescharacteristic, complemented
104#15689033C2211yescharacteristic
105#15689033C2211yescharacteristic
106#15689033C2211yescharacteristic, complemented
107#15689032C2211yescharacteristic
108#15689031C2211yescharacteristic
109#15689031C2211yescharacteristic
110#15689031C2211yescharacteristic, complemented
111#15689026C2211yescharacteristic
112#15689026C2211yescharacteristic, complemented
113#15689025C2211yescharacteristic
114#15689025C2211yescharacteristic, complemented
115#15689025C2211yescharacteristic, complemented
116#15689024C2211yescharacteristic
117#15689024C2211yescharacteristic, complemented
118#15689023C2211yescharacteristic
119#15689023C2211yescharacteristic
120#15689023C2211yescharacteristic
121#15689023C2211yescharacteristic
122#15689023C2211yescharacteristic
123#15689023C2211yescharacteristic
124#15689023C2211yescharacteristic
125#15689023C2211yescharacteristic
126#15689023C2211yescharacteristic, complemented
127#15689023C2211yescharacteristic, complemented
128#15689023C2211yescharacteristic, complemented
129#15689023C2211yescharacteristic, complemented
130#15689020C2211yescharacteristic, complemented
131#15689020C2211yescharacteristic, complemented
132#15689018C2211yescharacteristic, complemented
133#15689018C2211yescharacteristic, complemented
134#15689016C2211yescharacteristic, complemented
135#15689016C2211yescharacteristic, complemented
136#15689015C2211yescharacteristic, complemented
137#15689015C2211yescharacteristic, complemented
138#15689015C2211yescharacteristic, complemented
139#15689014C2211yescharacteristic, complemented
140#15689014C2211yescharacteristic, complemented
141#15689014C2211yescharacteristic, complemented
142#15689012C2211yescharacteristic, complemented
143#15689012C2211yescharacteristic, complemented
144#15689011C2211yescharacteristic, complemented
145#15689011C2211yescharacteristic, complemented
146#15689011C2211yescharacteristic, complemented
147#15689002C2211yescharacteristic, complemented
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic, complemented
151#15689001C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic, complemented
155#15688999C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688992C2211yescharacteristic, complemented
159#15688982C2211yescharacteristic
160#15688982C2211yescharacteristic, complemented
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163C4⋊C4×Dic47C2211yescharacteristic, complemented
164C4⋊C4×Dic47C2211yescharacteristic, complemented
165C4×Dic47⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172#15688970C2211yescharacteristic, complemented
173C42×Dic47C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic, complemented
176C47×#398C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#390C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C4×C4⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C2×D4×D47—24no—
213C2×D4×D47—42no—
214C2×D4×D47—42no—
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224#13094023—42no—
225#13094020—42no—
226#13094020—42no—
227#13094019—24no—
228#13094019—24no—
229#13094017—24no—
230#13094012—24no—
231#13094010—24no—
232#13094010—24no—
233#13094010—24no—
234#13094010—42no—
235#13094010—42no—
236#13094009—24no—
237#13094009—24no—
238#13094006—24no—
239#13094004—24no—
240#13094002—24no—
241#13093999—24no—
242#13093999—24no—
243#13093998—24no—
244#13093997—24no—
245#13093997—24no—
246#13093997—24no—
247#13093997—42no—
248#13093997—42no—
249#13093997—42no—
250#13093997—42no—
251#13093997—42no—
252#13093995—24no—
253#13093994—24no—
254#13093994—24no—
255#13093994—24no—
256#13093994—24no—
257#13093992—24no—
258#13093992—24no—
259C4×D188—24no—
260C4×D188—24no—
261#13093986—24no—
262#13093986D418yescomplemented
263C4×C22⋊D47—24no—
264C4×C22⋊D47—42no—
265C2×C4⋊Dic47C2311yescharacteristic
266C2×C4⋊Dic47C2311yescharacteristic
267C2×C4⋊Dic47C2311yescharacteristic
268C2×C4⋊Dic47C2311yescharacteristic
269C2×C4⋊Dic47C2311yescharacteristic
270C2×C4⋊Dic47C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C4⋊C4×D47—42no—
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C22⋊C4×D47—24no—
330C22⋊C4×D47—24no—
331C22⋊C4×D47—42no—
332C22⋊C4×D47—42no—
333C2×C4×Dic47C2311yescharacteristic
334C2×C4×Dic47C2311yescharacteristic
335C2×C4×Dic47C2311yescharacteristic
336C2×C4×Dic47C2311yescharacteristic
337C2×C4×Dic47C2311yescharacteristic
338C2×C4×Dic47C2311yescharacteristic
339C2×C4×Dic47C2311yescharacteristic
340C2×C4×Dic47C2311yescharacteristic
341C2×C4×Dic47C2311yescharacteristic
342C2×C4×Dic47C2311yescharacteristic
343C2×C4×Dic47C2311yescharacteristic
344C42×D47—42no—
345C42×D47—42no—
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C22×D4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364#126×C47—24no—
365#123×C47—24no—
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C42×C47C2311yescharacteristic
388C2×C42×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47—41no—
411C23×D47—41no—
412C23×D47—41no—
413C23×D47—41no—
414C23×D47C2411yescharacteristic
415C23×D47C2411yescharacteristic
416C23×D47C2411yescharacteristic
417C23×D47C2411yescharacteristic
418C23×D47C2411yescharacteristic
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C22×C4×C47—22no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487D4×D47—416no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—22no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—41no—
500C2×D188—41no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×D188—41no—
511C2×D188C2×D414yes—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47—41no—
536C2×C4×D47C2×D414yes—
537C2×C4×D47C2×D414yescomplemented
538C2×C4×D47#4114yes—
539C2×Dic94—22no—
540C2×Dic94—22no—
541C2×Dic94—41no—
542C2×Dic94—41no—
543C2×Dic94—41no—
544C2×Dic94—41no—
545C4⋊C4×C47—22no—
546C4⋊C4×C47—22no—
547C4⋊C4×C47—22no—
548C4⋊C4×C47—22no—
549C4⋊C4×C47—41no—
550C4⋊C4×C47—41no—
551C4⋊C4×C47C2×D414yescomplemented
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—22no—
555C22⋊C4×C47—22no—
556C22⋊C4×C47—22no—
557C22⋊C4×C47—22no—
558C22⋊C4×C47—22no—
559C22⋊C4×C47—22no—
560C22⋊C4×C47—22no—
561C22⋊C4×C47—22no—
562C22⋊C4×C47—22no—
563C22⋊C4×C47—41no—
564C22⋊C4×C47—41no—
565C22⋊C4×C47—41no—
566C42×C47—22no—
567C42×C47—22no—
568C42×C47—41no—
569C42×C47—41no—
570C22⋊Dic47—22no—
571C22⋊Dic47—22no—
572C22⋊Dic47—22no—
573C22⋊Dic47—22no—
574C22⋊Dic47—22no—
575C22⋊Dic47—41no—
576C22⋊Dic47—41no—
577C22⋊Dic47—41no—
578C22⋊Dic47—41no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
606(C2×D47)⋊C4—41no—
607(C2×D47)⋊C4—41no—
608(C2×D47)⋊C4—41no—
609(C2×D47)⋊C4—41no—
610(C2×D47)⋊C4—41no—
611(C2×D47)⋊C4—41no—
612(C2×D47)⋊C4—41no—
613(C2×D47)⋊C4C2×D414yes—
614(C2×D47)⋊C4C2×D414yescomplemented
615(C2×D47)⋊C4#4114yes—
616C4⋊Dic47—22no—
617C4⋊Dic47—22no—
618C4⋊Dic47—22no—
619C4⋊Dic47—22no—
620C4⋊Dic47—41no—
621C4⋊Dic47—41no—
622Dic47⋊C4—22no—
623Dic47⋊C4—22no—
624Dic47⋊C4—22no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—22no—
628Dic47⋊C4—22no—
629Dic47⋊C4—22no—
630Dic47⋊C4—22no—
631Dic47⋊C4—41no—
632Dic47⋊C4—41no—
633C4×Dic47—22no—
634C4×Dic47—22no—
635C4×Dic47—22no—
636C4×Dic47—22no—
637C4×Dic47—22no—
638C4×Dic47—22no—
639C4×Dic47—22no—
640C4×Dic47—41no—
641C4×Dic47—41no—
642C4×Dic47—41no—
643C4×Dic47C2×D414yescomplemented
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47C2511yescharacteristic
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—21no—
696C22×D47—21no—
697C22×D47—44no—
698C22×D47—44no—
699C22×D47—44no—
700C22×D47—44no—
701C22×D47—44no—
702C22×D47—44no—
703C22×D47—82no—
704C22×D47—82no—
705C22×D47—82no—
706C22×D47—82no—
707C22×D47—82no—
708C22×D47—82no—
709C22×D47—82no—
710C22×D47—82no—
711C22×D47C22×D412yes—
712C22×D47C22×D412yes—
713C22×D47C2×#4112yes—
714C22×D47C2×#4112yes—
715D4×C47—44no—
716D4×C47—82no—
717D4×C47—82no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—82no—
749C2×C4×C47C22×D412yes—
750C2×C4×C47C22×D412yes—
751C2×C4×C47C22×D412yes—
752C2×C4×C47C2×#4112yes—
753C2×C4×C47C2×#4112yes—
754C2×C4×C47H(5,𝔽2)12yes—
755C22⋊D47—44no—
756C22⋊D47—44no—
757C22⋊D47—44no—
758C22⋊D47—44no—
759C22⋊D47—82no—
760C22⋊D47—82no—
761C22⋊D47—82no—
762C22⋊D47—82no—
763C22⋊D47—82no—
764C22⋊D47—82no—
765C22⋊D47—82no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47C22×D412yes—
794C2×Dic47C22×D412yes—
795C2×Dic47C2×#4112yes—
796C2×Dic47C2×#4112yes—
797C2×Dic47H(5,𝔽2)12yes—
798C2×Dic47H(5,𝔽2)12yes—
799D188—28no—
800D188—44no—
801D188—44no—
802D188—82no—
803D188—82no—
804D188—82no—
805D188—82no—
806D188—82no—
807C4×D47—28no—
808C4×D47—44no—
809C4×D47—44no—
810C4×D47—44no—
811C4×D47—44no—
812C4×D47—44no—
813C4×D47—82no—
814C4×D47—82no—
815C4×D47—82no—
816Dic94—82no—
817Dic94—82no—
818#35007—471nomaximal, Sylow
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47C23×D411yescharacteristic
841C22×C47C22×#4111yescharacteristic
842C22×C47C22×#4111yescharacteristic
843C22×C47C2×H(5,𝔽2)11yescharacteristic
844C22×C47C2×H(5,𝔽2)11yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47#58511yescharacteristic
847C2×D47—22no—
848C2×D47—22no—
849C2×D47—22no—
850C2×D47—22no—
851C2×D47—22no—
852C2×D47—22no—
853C2×D47—22no—
854C2×D47—22no—
855C2×D47—22no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—41no—
871C2×D47—41no—
872C2×D47—41no—
873C2×D47—41no—
874C2×D47—41no—
875C2×D47—41no—
876C2×D47—41no—
877C2×D47—41no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—88no—
882C2×D47—88no—
883C2×D47#53214yes—
884C4×C47—22no—
885C4×C47—22no—
886C4×C47—22no—
887C4×C47—22no—
888C4×C47—22no—
889C4×C47—22no—
890C4×C47—41no—
891C4×C47—41no—
892C4×C47—41no—
893C4×C47—41no—
894C4×C47—41no—
895C4×C47—41no—
896Dic47—22no—
897Dic47—22no—
898Dic47—22no—
899Dic47—41no—
900Dic47—41no—
901Dic47—41no—
902Dic47—41no—
903Dic47—41no—
904Dic47—41no—
905Dic47—41no—
906Dic47#53814yescomplemented
907C2×#538—471no—
908C2×#538—471no—
909#2860—471no—
910#2858—471no—
911#2856—471no—
912#2854—471no—
913#2662—471no—
914#2662—471no—
915#2661—471no—
916#2661—471no—
917#2555—471no—
918#2555—471no—
919#2554—471no—
920#2554D4711yescharacteristic, complemented
921#2512—471no—
922#2491—471no—
923#2472—471no—
924#2472—471no—
925#2445—471no—
926#2440—471no—
927#2433—471no—
928#2428—471no—
929#2424—471no—
930#2424—471no—
931#2416—471no—
932#2408—471no—
933#2321—471no—
934#2321—471no—
935C4×#121—471no—
936C2×#390—471no—
937C42×D4—471no—
938C2×C47—81no—
939C2×C47—81no—
940C2×C47—81no—
941C2×C47C2×#53211yescharacteristic
942C2×C47C2×#53811yescharacteristic
943C2×C47#346011yescharacteristic
944C2×C47#349611yescharacteristic
945C2×C47#349811yescharacteristic
946C2×C47#351411yescharacteristic
947C2×C47#351911yescharacteristic
948D47—24no—
949D47—42no—
950D47—81no—
951D47—81no—
952D47—81no—
953C23×D4—471no—
954#538—948no—
955#538—948no—
956C2×C4⋊Q8—471no—
957C2×#127—471no—
958C2×#127—471no—
959C2×#126—471no—
960C2×#126—471no—
961C2×#126—471no—
962C2×#126C2×D4711yescharacteristic, complemented
963C2×#124—471no—
964C2×#124—471no—
965C2×#124—471no—
966C2×#124—471no—
967C2×#124—471no—
968C2×#124—471no—
969C2×#123—471no—
970C2×#123—471no—
971C2×#123—471no—
972C2×#123C2×D4711yescharacteristic, complemented
973C2×C22⋊Q8—471no—
974C2×C22⋊Q8—471no—
975C2×#121—471no—
976C2×#121—471no—
977C2×#121—471no—
978C2×#121—471no—
979C2×#121—471no—
980C2×#121—471no—
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#120—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×C4×D4—471no—
994C2×C4×D4—471no—
995C2×C4×D4—471no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C22×C4⋊C4—471no—
1000C22×C22⋊C4—471no—
1001C22×C22⋊C4—471no—
1002C22×C22⋊C4—471no—
1003C22×C22⋊C4—471no—
1004C22×C42—471no—
1005C22×C42—471no—
1006#398—471no—
1007#398C2×D4711yescharacteristic, complemented
1008#397—471no—
1009#397—471no—
1010#396—471no—
1011#396—471no—
1012#396—471no—
1013#396C2×D4711yescharacteristic, complemented
1014#395—471no—
1015#395—471no—
1016#394—471no—
1017#394—471no—
1018#394—471no—
1019#394—471no—
1020#394—471no—
1021#394—471no—
1022#394—471no—
1023#394—471no—
1024#394—471no—
1025#394—471no—
1026#394—471no—
1027#394C2×D4711yescharacteristic
1028#393—471no—
1029#393—471no—
1030#392—471no—
1031#392—471no—
1032#392—471no—
1033#392—471no—
1034#392—471no—
1035#392—471no—
1036#392—471no—
1037#392C2×D4711yescharacteristic
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390—471no—
1043#390—471no—
1044#390—471no—
1045#390—471no—
1046#390—471no—
1047#390—471no—
1048#390—471no—
1049#390—471no—
1050#390—471no—
1051#390—471no—
1052#390—471no—
1053#390—471no—
1054#390—471no—
1055#390—471no—
1056#390—471no—
1057#390C2×D4711yescharacteristic
1058#390C2×D4711yescharacteristic, complemented
1059#390C2×D4711yescharacteristic, complemented
1060#389—471no—
1061#389—471no—
1062#389—471no—
1063#389—471no—
1064#388—471no—
1065#388—471no—
1066#388—471no—
1067#388—471no—
1068#388—471no—
1069#388—471no—
1070#388—471no—
1071#388—471no—
1072#388—471no—
1073#388—471no—
1074#388—471no—
1075#388—471no—
1076#388—471no—
1077#388C2×D4711yescharacteristic, complemented
1078#388C2×D4711yescharacteristic, complemented
1079#388C2×D4711yescharacteristic, complemented
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386—471no—
1089#386C2×D4711yescharacteristic, complemented
1090#385—471no—
1091#385—471no—
1092#384—471no—
1093#380—471no—
1094#380—471no—
1095#379—471no—
1096#379—471no—
1097C4×C4⋊C4—471no—
1098C4×C4⋊C4—471no—
1099C4×C4⋊C4—471no—
1100C4×C4⋊C4C2×D4711yescharacteristic, complemented
1101C4×C22⋊C4—471no—
1102C4×C22⋊C4—471no—
1103C4×C22⋊C4—471no—
1104C4×C22⋊C4—471no—
1105C4×C22⋊C4—471no—
1106C4×C22⋊C4—471no—
1107C4×C22⋊C4—471no—
1108C4×C22⋊C4C2×D4711yescharacteristic, complemented
1109C43—471no—
1110C47#3500711yescharacteristic, complemented, Sylow
1111C25—471no—
1112C25—471no—
1113C22×Q8—471no—
1114C22×Q8—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4—471no—
1121C22×D4—471no—
1122C22×D4—471no—
1123C22×D4—471no—
1124C22×D4—471no—
1125C22×D4—471no—
1126C22×D4—471no—
1127C22×D4—471no—
1128C22×D4—471no—
1129C22×D4—471no—
1130C22×D4—471no—
1131C22×D4—471no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—944no—
1135C22×D4—1882no—
1136C22×D4—1882no—
1137C22×D4C22×D4711yescharacteristic
1138C22×D4C22×D4711yescharacteristic
1139C22×D4C22×D4711yescharacteristic
1140C23×C4—471no—
1141C23×C4—471no—
1142C23×C4—471no—
1143C23×C4—471no—
1144C23×C4—471no—
1145C23×C4—471no—
1146C23×C4—471no—
1147C23×C4—471no—
1148C23×C4—471no—
1149C23×C4C22×D4711yescharacteristic
1150C4⋊Q8—1882no—
1151#127—1882no—
1152#127—1882no—
1153#126—24no—
1154#126—944no—
1155#126—944no—
1156#126—944no—
1157#124—944no—
1158#124—944no—
1159#124—944no—
1160#124—944no—
1161#124—1882no—
1162#124—1882no—
1163#123—24no—
1164#123—944no—
1165#123—944no—
1166#123—944no—
1167C22⋊Q8—944no—
1168C22⋊Q8—944no—
1169#121—944no—
1170#121—944no—
1171#121—944no—
1172#121—944no—
1173#121—944no—
1174#121—944no—
1175#121—944no—
1176#121—1882no—
1177#121—1882no—
1178#121—1882no—
1179#121—1882no—
1180#121—1882no—
1181#120—944no—
1182#120—944no—
1183#120—944no—
1184#120—944no—
1185#120—944no—
1186#120—944no—
1187C4×D4—478no—
1188C4×D4—944no—
1189C4×D4—944no—
1190C4×D4—944no—
1191C4×D4—944no—
1192C4×D4—1882no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4—471no—
1198C2×C4⋊C4—471no—
1199C2×C4⋊C4—471no—
1200C2×C4⋊C4—471no—
1201C2×C4⋊C4—471no—
1202C2×C4⋊C4—471no—
1203C2×C4⋊C4—471no—
1204C2×C4⋊C4—471no—
1205C2×C4⋊C4—471no—
1206C2×C4⋊C4—471no—
1207C2×C4⋊C4—471no—
1208C2×C4⋊C4—471no—
1209C2×C4⋊C4—471no—
1210C2×C4⋊C4—1882no—
1211C2×C4⋊C4C22×D4711yescharacteristic
1212C2×C4⋊C4C22×D4711yescharacteristic
1213C2×C4⋊C4C22×D4711yescharacteristic
1214C2×C4⋊C4C22×D4711yescharacteristic
1215C2×C4⋊C4C22×D4711yescharacteristic
1216C2×C4⋊C4C22×D4711yescharacteristic
1217C2×C4⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—944no—
1265C2×C22⋊C4—944no—
1266C2×C22⋊C4—1882no—
1267C2×C22⋊C4—1882no—
1268C2×C22⋊C4C22×D4711yescharacteristic
1269C2×C22⋊C4C22×D4711yescharacteristic
1270C2×C22⋊C4C22×D4711yescharacteristic
1271C2×C22⋊C4C22×D4711yescharacteristic
1272C2×C22⋊C4C22×D4711yescharacteristic
1273C2×C22⋊C4C22×D4711yescharacteristic
1274C2×C22⋊C4C22×D4711yescharacteristic
1275C2×C22⋊C4C22×D4711yescharacteristic
1276C2×C22⋊C4C22×D4711yescharacteristic
1277C2×C22⋊C4C22×D4711yescharacteristic
1278C2×C22⋊C4C22×D4711yescharacteristic
1279C2×C22⋊C4C22×D4711yescharacteristic
1280C2×C22⋊C4C22×D4711yescharacteristic
1281C2×C22⋊C4C22×D4711yescharacteristic
1282C2×C42—471no—
1283C2×C42—471no—
1284C2×C42—471no—
1285C2×C42—471no—
1286C2×C42—471no—
1287C2×C42—471no—
1288C2×C42—471no—
1289C2×C42—471no—
1290C2×C42—471no—
1291C2×C42—471no—
1292C2×C42—471no—
1293C2×C42—1882no—
1294C2×C42—1882no—
1295C2×C42C22×D4711yescharacteristic
1296C2×C42C22×D4711yescharacteristic
1297C2×C42C22×D4711yescharacteristic
1298C2×C42C22×D4711yescharacteristic
1299#95—471no—
1300#95—471no—
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95C22×D4711yescharacteristic
1314#95C22×D4711yescharacteristic
1315#95C22×D4711yescharacteristic
1316#95C22×D4711yescharacteristic
1317#95C22×D4711yescharacteristic
1318#95C22×D4711yescharacteristic
1319C24—471no—
1320C24—471no—
1321C24—471no—
1322C24—471no—
1323C24—471no—
1324C24—942no—
1325C24—942no—
1326C24—942no—
1327C24—942no—
1328C24—942no—
1329C24—942no—
1330C24—1881no—
1331C24—1881no—
1332C24—1881no—
1333C24—1881no—
1334C24—1881no—
1335C24—1881no—
1336C24—1881no—
1337C24—1881no—
1338C24C23×D4711yescharacteristic
1339C24C23×D4711yescharacteristic
1340C24C23×D4711yescharacteristic
1341C2×Q8—942no—
1342C2×Q8—942no—
1343C2×Q8—1881no—
1344C2×Q8—1881no—
1345C2×Q8—1881no—
1346C2×Q8—1881no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—474no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—942no—
1362C2×D4—942no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—942no—
1367C2×D4—942no—
1368C2×D4—942no—
1369C2×D4—942no—
1370C2×D4—942no—
1371C2×D4—942no—
1372C2×D4—942no—
1373C2×D4—942no—
1374C2×D4—942no—
1375C2×D4—942no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—942no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4—1881no—
1395C2×D4—1881no—
1396C2×D4—1881no—
1397C2×D4—1881no—
1398C2×D4—1881no—
1399C2×D4—18816no—
1400C2×D4—1881no—
1401C2×D4—1881no—
1402C2×D4—1881no—
1403C2×D4—1881no—
1404C2×D4—1881no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C22×C4—22no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—471no—
1418C22×C4—471no—
1419C22×C4—471no—
1420C22×C4—471no—
1421C22×C4—474no—
1422C22×C4—474no—
1423C22×C4—474no—
1424C22×C4—471no—
1425C22×C4—471no—
1426C22×C4—471no—
1427C22×C4—471no—
1428C22×C4—471no—
1429C22×C4—471no—
1430C22×C4—471no—
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—942no—
1442C22×C4—942no—
1443C22×C4—1881no—
1444C22×C4—1881no—
1445C22×C4—1881no—
1446C22×C4—1881no—
1447C22×C4—1881no—
1448C22×C4—1881no—
1449C22×C4—1881no—
1450C22×C4—1881no—
1451C22×C4—1881no—
1452C22×C4—1881no—
1453C22×C4—1881no—
1454C22×C4—1881no—
1455C22×C4C23×D4711yescharacteristic
1456C22×C4C23×D4711yescharacteristic
1457C22×C4C23×D4711yescharacteristic
1458C22×C4C23×D4711yescharacteristic
1459C22×C4C23×D4711yescharacteristic
1460C22×C4C23×D4711yescharacteristic
1461C22×C4C23×D4711yescharacteristic
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464C22×C4C23×D4711yescharacteristic
1465C22×C4C23×D4711yescharacteristic
1466C22×C4C23×D4711yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—942no—
1474C4⋊C4—942no—
1475C4⋊C4—942no—
1476C4⋊C4—942no—
1477C4⋊C4—942no—
1478C4⋊C4—942no—
1479C4⋊C4—942no—
1480C4⋊C4—942no—
1481C4⋊C4—942no—
1482C4⋊C4—942no—
1483C4⋊C4—942no—
1484C4⋊C4—942no—
1485C4⋊C4—942no—
1486C4⋊C4—1881no—
1487C4⋊C4—1881no—
1488C4⋊C4—1881no—
1489C4⋊C4—1881no—
1490C4⋊C4D4×D4714yescomplemented
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—474no—
1506C22⋊C4—474no—
1507C22⋊C4—474no—
1508C22⋊C4—942no—
1509C22⋊C4—942no—
1510C22⋊C4—942no—
1511C22⋊C4—942no—
1512C22⋊C4—942no—
1513C22⋊C4—942no—
1514C22⋊C4—942no—
1515C22⋊C4—942no—
1516C22⋊C4—942no—
1517C22⋊C4—942no—
1518C22⋊C4—942no—
1519C22⋊C4—942no—
1520C22⋊C4—942no—
1521C22⋊C4—942no—
1522C22⋊C4—942no—
1523C22⋊C4—942no—
1524C22⋊C4—942no—
1525C22⋊C4—942no—
1526C22⋊C4—942no—
1527C22⋊C4—942no—
1528C22⋊C4—942no—
1529C22⋊C4—942no—
1530C22⋊C4—942no—
1531C22⋊C4—942no—
1532C22⋊C4—942no—
1533C22⋊C4—942no—
1534C22⋊C4—942no—
1535C22⋊C4—942no—
1536C22⋊C4—1881no—
1537C22⋊C4—1881no—
1538C22⋊C4—1881no—
1539C22⋊C4—1881no—
1540C22⋊C4—1881no—
1541C22⋊C4—1881no—
1542C22⋊C4—1881no—
1543C22⋊C4—1881no—
1544C22⋊C4—1881no—
1545C22⋊C4—1881no—
1546C22⋊C4—1881no—
1547C22⋊C4—1881no—
1548C22⋊C4—1881no—
1549C22⋊C4—1881no—
1550C22⋊C4—1881no—
1551C42—22no—
1552C42—22no—
1553C42—41no—
1554C42—41no—
1555C42—474no—
1556C42—942no—
1557C42—942no—
1558C42—942no—
1559C42—942no—
1560C42—942no—
1561C42—942no—
1562C42—942no—
1563C42—1881no—
1564C42—1881no—
1565C42—1881no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—472no—
1588C23—472no—
1589C23—472no—
1590C23—472no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—941no—
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—941no—
1610C23—941no—
1611C23—941no—
1612C23—941no—
1613C23—941no—
1614C23—941no—
1615C23—941no—
1616C23—941no—
1617C23—941no—
1618C23—941no—
1619C23—941no—
1620C23—941no—
1621C23—941no—
1622C23—3762no—
1623C23—3762no—
1624C23—3762no—
1625C23—3762no—
1626C23—3762no—
1627C23—3762no—
1628C23—3762no—
1629C23—3762no—
1630C23—1884no—
1631C23—1884no—
1632C23—1884no—
1633C23—1884no—
1634C23—1884no—
1635C23—1884no—
1636C23C24×D4711yescharacteristic
1637Q8—3762no—
1638Q8—3762no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—948no—
1643D4—3762no—
1644D4—3762no—
1645D4—3762no—
1646D4—3762no—
1647D4—3762no—
1648D4—3762no—
1649D4—3762no—
1650D4—3762no—
1651D4—3762no—
1652D4—3762no—
1653D4—3762no—
1654D4—3762no—
1655D4—1884no—
1656D4—1884no—
1657D4—1884no—
1658D4—1884no—
1659D4—1884no—
1660D4—1884no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—82no—
1692C2×C4—472no—
1693C2×C4—472no—
1694C2×C4—472no—
1695C2×C4—472no—
1696C2×C4—472no—
1697C2×C4—472no—
1698C2×C4—948no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—941no—
1707C2×C4—941no—
1708C2×C4—941no—
1709C2×C4—941no—
1710C2×C4—941no—
1711C2×C4—941no—
1712C2×C4—941no—
1713C2×C4—941no—
1714C2×C4—941no—
1715C2×C4—941no—
1716C2×C4—941no—
1717C2×C4—941no—
1718C2×C4—941no—
1719C2×C4—941no—
1720C2×C4—941no—
1721C2×C4—941no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—3762no—
1727C2×C4—3762no—
1728C2×C4—3762no—
1729C2×C4—1884no—
1730C2×C4—1884no—
1731C2×C4—1884no—
1732C2×C4—1884no—
1733C2×C4—1884no—
1734C2×C4C2×D4×D4712yes—
1735C2×C4C2×D4×D4712yes—
1736C2×C4C2×D4×D4712yes—
1737C2×C4#41×D4712yes—
1738C2×C4#41×D4712yes—
1739C2×C4#1309407012yes—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—474no—
1762C22—942no—
1763C22—942no—
1764C22—942no—
1765C22—942no—
1766C22—942no—
1767C22—942no—
1768C22—942no—
1769C22—942no—
1770C22—942no—
1771C22—3768no—
1772C22—3768no—
1773C22—1881no—
1774C22—1881no—
1775C22—1881no—
1776C22—1881no—
1777C22—1881no—
1778C22—1881no—
1779C22—1881no—
1780C22—1881no—
1781C22—1881no—
1782C22—1881no—
1783C22—1881no—
1784C22—1881no—
1785C22—1881no—
1786C22—1881no—
1787C22—1881no—
1788C22—1881no—
1789C22—1881no—
1790C22—1881no—
1791C22—1881no—
1792C22—1881no—
1793C22—1881no—
1794C22—1881no—
1795C22—1881no—
1796C22—1881no—
1797C22—1881no—
1798C22C22×D4×D4711yescharacteristic
1799C22C2×#41×D4711yescharacteristic
1800C22C2×#41×D4711yescharacteristic
1801C22H(5,𝔽2)×D4711yescharacteristic
1802C22H(5,𝔽2)×D4711yescharacteristic
1803C22C2×#1309407011yescharacteristic
1804C22#1568995911yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—474no—
1818C4—942no—
1819C4—942no—
1820C4—942no—
1821C4—1881no—
1822C4—1881no—
1823C4—1881no—
1824C4—1881no—
1825C4—1881no—
1826C4—1881no—
1827C4—1881no—
1828C2—81no—
1829C2—81no—
1830C2—81no—
1831C2—944no—
1832C2—3761no—
1833C2—3761no—
1834C2—3761no—
1835C2—1882no—
1836C2#532×D4711yescharacteristic
1837C2#538×D4711yescharacteristic
1838C2#2025680911yescharacteristic
1839C2#2025714811yescharacteristic
1840C2#2025716511yescharacteristic
1841C2#2025733811yescharacteristic
1842C2#2025741611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2554C2
hypercenter#2554D47
hypocenterC47#35007
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#15689712C2semidirect
2. C2×#15689709C2semidirect
3. #20251754C2semidirect
4. #20251742C2semidirect
5. #20251732C2semidirect
6. #20251715C2semidirect
7. #20249526C2semidirect
8. #20249524C2semidirect
9. #20249521C2semidirect
10. #20249519C2semidirect
11. #20248462C2semidirect
12. #20248457C2semidirect
13. #20248442C2semidirect
14. #20247973C2semidirect
15. #20247750C2semidirect
16. #20247520C2semidirect
17. #20247512C2semidirect
18. #20247152C2semidirect
19. #20247085C2semidirect
20. #20247020C2semidirect
21. #20246975C2semidirect
22. #20246931C2semidirect
23. #20246929C2semidirect
24. #20246823C2semidirect
25. #20246739C2semidirect
26. #20246050C2semidirect
27. #20246044C2semidirect
28. C4×#13093997C2semidirect
29. #390×D47C2semidirect
30. C4×#13093986C2semidirect
31. C47×#2554C2semidirect
35. C2×#13094023C22semidirect
38. C2×#13094019C22semidirect
39. C2×#13094019C22semidirect
40. C2×#13094017C22semidirect
41. C2×#13094012C22semidirect
42. C2×#13094010C22semidirect
43. C2×#13094010C22semidirect
44. C2×#13094010C22semidirect
45. C2×#13094010C22semidirect
46. C2×#13094010C22semidirect
47. C2×#13094009C22semidirect
48. C2×#13094009C22semidirect
49. C2×#13094006C22semidirect
53. C2×#13093999C22semidirect
54. C2×#13093998C22semidirect
59. C2×#13093997C22semidirect
60. C2×#13093997C22semidirect
61. C2×#13093997C22semidirect
62. C2×#13093997C22semidirect
63. C2×#13093995C22semidirect
75. C2×C4×C22⋊D47C22semidirect
82. C2×C42×D47C22semidirect
83. #15689055C22semidirect
84. #15689049C22semidirect
85. #15689048C22semidirect
86. #15689046C22semidirect
87. #15689045C22semidirect
88. #15689045C22semidirect
89. #15689044C22semidirect
90. #15689043C22semidirect
92. #15689040C22semidirect
93. #15689040C22semidirect
94. #15689040C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689039C22semidirect
98. #15689039C22semidirect
99. #15689039C22semidirect
100. #15689038C22semidirect
101. #15689037C22semidirect
102. #15689036C22semidirect
103. #15689035C22semidirect
106. #15689033C22semidirect
110. #15689031C22semidirect
112. #15689026C22semidirect
114. #15689025C22semidirect
115. #15689025C22semidirect
117. #15689024C22semidirect
126. #15689023C22semidirect
127. #15689023C22semidirect
128. #15689023C22semidirect
129. #15689023C22semidirect
130. #15689020C22semidirect
131. #15689020C22semidirect
132. #15689018C22semidirect
133. #15689018C22semidirect
134. #15689016C22semidirect
135. #15689016C22semidirect
136. #15689015C22semidirect
137. #15689015C22semidirect
138. #15689015C22semidirect
139. #15689014C22semidirect
140. #15689014C22semidirect
141. #15689014C22semidirect
142. #15689012C22semidirect
143. #15689012C22semidirect
144. #15689011C22semidirect
145. #15689011C22semidirect
146. #15689011C22semidirect
147. #15689002C22semidirect
150. #15689001C22semidirect
151. #15689001C22semidirect
154. #15688999C22semidirect
155. #15688999C22semidirect
158. #15688992C22semidirect
160. #15688982C22semidirect
163. C4⋊C4×Dic47C22semidirect
164. C4⋊C4×Dic47C22semidirect
165. C4×Dic47⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
171. #15688970C22semidirect
172. #15688970C22semidirect
173. C42×Dic47C22semidirect
174. C2×#126×C47C22semidirect
175. C2×#123×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#396C22semidirect
181. C47×#390C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C47×#388C22semidirect
186. C47×#386C22semidirect
187. C4×C4⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
262. #13093986D4semidirect
537. C2×C4×D47C2×D4semidirect
551. C4⋊C4×C47C2×D4semidirect
614. (C2×D47)⋊C4C2×D4semidirect
643. C4×Dic47C2×D4semidirect
906. Dic47#538semidirect
920. #2554D47semidirect
962. C2×#126C2×D47semidirect
972. C2×#123C2×D47semidirect
1007. #398C2×D47semidirect
1013. #396C2×D47semidirect
1058. #390C2×D47semidirect
1059. #390C2×D47semidirect
1077. #388C2×D47semidirect
1078. #388C2×D47semidirect
1079. #388C2×D47semidirect
1089. #386C2×D47semidirect
1100. C4×C4⋊C4C2×D47semidirect
1108. C4×C22⋊C4C2×D47semidirect
1110. C47#35007semidirect
1490. C4⋊C4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897122
C2×#156897092
#202517542
#202517422
#202517322
#202517152
#202495262
#202495242
#202495212
#202495192
#202484622
#202484572
#202484422
#202479732
#202477502
#202475202
#202475122
#202471522
#202470852
#202470202
#202469752
#202469312
#202469292
#202468232
#202467392
#202460502
#202460442
C4×#130939972
#390×D472
C4×#130939862
C47×#25542
#3500747