Finite Group Databasebeta

← #26379831

Subgroups — #26379831

Order 12032.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689709C211yesmaximal, characteristic
2#20246578C211yesmaximal, characteristic, complemented
3#20246557C211yesmaximal, characteristic, complemented
4#20246542C211yesmaximal, characteristic, complemented
5#20246535C211yesmaximal, characteristic, complemented
6#20246511C211yesmaximal, characteristic, complemented
7#20246470C211yesmaximal, characteristic, complemented
8#20246454C211yesmaximal, characteristic, complemented
9#20246432C211yesmaximal, characteristic, complemented
10#20246402C211yesmaximal, characteristic, complemented
11#20246401C211yesmaximal, characteristic, complemented
12#20246395C211yesmaximal, characteristic, complemented
13#20246385C211yesmaximal, characteristic, complemented
14#20246331C211yesmaximal, characteristic, complemented
15#20246312C211yesmaximal, characteristic, complemented
16#20246297C211yesmaximal, characteristic, complemented
17#20246284C211yesmaximal, characteristic, complemented
18#20246195C211yesmaximal, characteristic, complemented
19#20246170C211yesmaximal, characteristic, complemented
20#20246165C211yesmaximal, characteristic, complemented
21#20246094C211yesmaximal, characteristic, complemented
22#20246090C211yesmaximal, characteristic, complemented
23#20246084C211yesmaximal, characteristic, complemented
24#20246060C211yesmaximal, characteristic, complemented
25#20246047C211yesmaximal, characteristic, complemented
26#20246041C211yesmaximal, characteristic, complemented
27#20245982C211yesmaximal, characteristic, complemented
28#20245893C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2335C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689709C4116yescomplemented
34C2×#13094019C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094004C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093995C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093989C2211yescharacteristic, complemented
46C2×C4×D188C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×D4×Dic47C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C2×#13093986C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
57C2×#13093981C2211yescharacteristic, complemented
58C22×C4⋊Dic47C2211yescharacteristic, complemented
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63#15689029C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689025C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic, complemented
70#15689022C2211yescharacteristic, complemented
71#15689022C2211yescharacteristic, complemented
72#15689021C2211yescharacteristic, complemented
73#15689021C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689017C2211yescharacteristic
78#15689017C2211yescharacteristic
79#15689017C2211yescharacteristic
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic, complemented
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689013C2211yescharacteristic
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic
90#15689013C2211yescharacteristic, complemented
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic
93#15689012C2211yescharacteristic, complemented
94#15689011C2211yescharacteristic
95#15689011C2211yescharacteristic, complemented
96#15689011C2211yescharacteristic, complemented
97#15689009C2211yescharacteristic, complemented
98#15689009C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689008C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689003C2211yescharacteristic
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689000C2211yescharacteristic
113#15689000C2211yescharacteristic
114#15689000C2211yescharacteristic, complemented
115#15688999C2211yescharacteristic
116#15688999C2211yescharacteristic
117#15688999C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic, complemented
120#15688998C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic, complemented
123#15688997C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic, complemented
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688995C2211yescharacteristic
134#15688995C2211yescharacteristic, complemented
135#15688995C2211yescharacteristic, complemented
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic, complemented
141#15688992C2211yescharacteristic, complemented
142#15688990C2211yescharacteristic, complemented
143#15688988C2211yescharacteristic, complemented
144#15688987C2211yescharacteristic, complemented
145#15688986C2211yescharacteristic, complemented
146#15688982C2211yescharacteristic
147#15688982C2211yescharacteristic, complemented
148#15688980C2211yescharacteristic
149#15688980C2211yescharacteristic, complemented
150#15688978C2211yescharacteristic
151#15688978C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic47C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688968C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic
175C47×#389C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—42no—
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094019C2×C418yescomplemented
214#13094017C2×C418yescomplemented
215#13094010C2×C418yescomplemented
216#13094010C2×C418yescomplemented
217#13094009C2×C418yescomplemented
218#13094004C2×C418yescomplemented
219#13093998C2×C418yescomplemented
220#13093997C2×C418yescomplemented
221#13093995C2×C418yescomplemented
222#13093994C2×C418yescomplemented
223#13093992C2×C418yescomplemented
224#13093989—42no—
225C4×D188—42no—
226C4×D188—42no—
227D4×Dic47—42no—
228#13093986—42no—
229#13093986C2×C418yescomplemented
230C4×C22⋊D47—42no—
231C4×C22⋊D47C2×C418yescomplemented
232(C22⋊D47)⋊C4—42no—
233(C22⋊D47)⋊C4—42no—
234(C22⋊D47)⋊C4—42no—
235(C22⋊D47)⋊C4—42no—
236#13093981—42no—
237C2×C4⋊Dic47—42no—
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C4⋊C4×D47—42no—
262C4⋊C4×D47—42no—
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C22⋊C4×D47—42no—
296C22⋊C4×D47C2×C418yescomplemented
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47C2×C418yescomplemented
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—22no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47C22×C414yescomplemented
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47C22×C414yes—
419C2×C22⋊D47C22×C414yes—
420C2×C22⋊D47C22×C414yes—
421C2×C22⋊D47C22×C414yescomplemented
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188C22×C414yes—
449C2×D188C22×C414yes—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—416no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47C22×C414yes—
482C2×C4×D47C22×C414yes—
483C2×C4×D47C22×C414yescomplemented
484C2×Dic94—41no—
485C2×Dic94—41no—
486C2×Dic94C22×C414yescomplemented
487C4⋊C4×C47—22no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47C22×C414yescomplemented
493C4⋊C4×C47C22×C414yescomplemented
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47C22×C414yes—
502C22⋊C4×C47C22×C414yes—
503C22⋊C4×C47C22×C414yescomplemented
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47C22×C414yes—
515C22⋊Dic47C22×C414yes—
516C22⋊Dic47C22×C414yescomplemented
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4C22×C414yes—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yescomplemented
540(C2×D47)⋊C4C22×C414yescomplemented
541C4⋊Dic47—22no—
542C4⋊Dic47—22no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47C22×C414yescomplemented
549C4⋊Dic47C22×C414yescomplemented
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4C22×C414yescomplemented
563Dic47⋊C4C22×C414yescomplemented
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47C22×C414yescomplemented
576C4×Dic47C22×C414yescomplemented
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47C23×C412yes—
590C23×C47C23×C412yes—
591C23×C47C2511yescharacteristic
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—28no—
609C22×D47—44no—
610C22×D47—44no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47C23×C412yes—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47H(5,𝔽2)12yes—
619C22×D472−1+412yes—
620D4×C47—44no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47H(5,𝔽2)12yes—
662C22⋊D47—28no—
663C22⋊D47—44no—
664C22⋊D47—44no—
665C22⋊D47—44no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—44no—
700C2×Dic47—82no—
701C2×Dic47—82no—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47C23×C412yes—
707C2×Dic47H(5,𝔽2)12yes—
708D188—28no—
709D188—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—44no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721Dic94—44no—
722#34416—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47C24×C411yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×2−1+411yescharacteristic
742C22×C47#58511yescharacteristic
743C22×C47#58511yescharacteristic
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—416no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47#52014yes—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—22no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792C2×#538—471no—
793#2383—471no—
794#2379—471no—
795#2377—471no—
796#2376—471no—
797#2373—471no—
798#2368—471no—
799#2367—471no—
800#2364—471no—
801#2361—471no—
802#2361—471no—
803#2360—471no—
804#2359—471no—
805#2353—471no—
806#2352—471no—
807#2349—471no—
808D4×C4⋊C4—471no—
809#2337—471no—
810#2335D4711yescharacteristic, complemented
811#2334—471no—
812#2334—471no—
813#2326—471no—
814#2325—471no—
815#2324—471no—
816#2322—471no—
817#2321—471no—
818#2321—471no—
819#2312—471no—
820C4×#120—471no—
821C4×#120—471no—
822C2×#385—471no—
823C2×C47—42no—
824C2×C47—42no—
825C2×C47C2×#52011yescharacteristic
826C2×C47C4×H(5,𝔽2)11yescharacteristic
827C2×C47C4×H(5,𝔽2)11yescharacteristic
828C2×C47#353211yescharacteristic
829C2×C47#353311yescharacteristic
830C2×C47#354111yescharacteristic
831C2×C47#354111yescharacteristic
832D47—24no—
833D47—42no—
834D47—42no—
835C24×C4—471no—
836#538—4716no—
837C2×#126—471no—
838C2×#126—471no—
839C2×#124—471no—
840C2×#124—471no—
841C2×#123—471no—
842C2×#123C2×D4711yescharacteristic
843C2×C22⋊Q8—471no—
844C2×#121—471no—
845C2×#121—471no—
846C2×#121—471no—
847C2×#120—471no—
848C2×#120—471no—
849C2×C4×Q8—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C2×#117—471no—
862C22×C4⋊C4—471no—
863C22×C4⋊C4—471no—
864C22×C4⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#391—471no—
868#391—471no—
869#391—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390C2×D4711yescharacteristic
875#389—471no—
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389C2×D4711yescharacteristic, complemented
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388C2×D4711yescharacteristic
904#388C2×D4711yescharacteristic
905#388C2×D4711yescharacteristic, complemented
906#388C2×D4711yescharacteristic, complemented
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387C2×D4711yescharacteristic, complemented
918#387C2×D4711yescharacteristic, complemented
919#386—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386C2×D4711yescharacteristic
933#385—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#384—471no—
956#383—471no—
957#382—471no—
958#382—471no—
959#381—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380C2×D4711yescharacteristic, complemented
965#379—471no—
966#379—471no—
967C4×C4⋊C4—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4C2×D4711yescharacteristic, complemented
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4C2×D4711yescharacteristic, complemented
987#376—471no—
988C2×#95—471no—
989C2×#95—471no—
990C2×#95—471no—
991C47#3441611yescharacteristic, complemented, Sylow
992C25—471no—
993C22×Q8—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4C22×D4711yescharacteristic
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—1882no—
1016C23×C4—1882no—
1017C23×C4—1882no—
1018C23×C4C22×D4711yescharacteristic
1019C23×C4C22×D4711yescharacteristic
1020#126—478no—
1021#126—478no—
1022#124—478no—
1023#124—478no—
1024#123—478no—
1025#123C4×D4718yescomplemented
1026C22⋊Q8—478no—
1027#121—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×Q8—1882no—
1033C4×D4—478no—
1034C4×D4—478no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040C4×D4—1882no—
1041C4×D4—1882no—
1042C4×D4—1882no—
1043C4×D4—1882no—
1044#117—1882no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—1882no—
1069C2×C4⋊C4—1882no—
1070C2×C4⋊C4—1882no—
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—478no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—1882no—
1112C2×C22⋊C4C22×D4711yescharacteristic
1113C2×C22⋊C4C22×D4711yescharacteristic
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—474no—
1184C24—942no—
1185C24—942no—
1186C24—1881no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C2×Q8—474no—
1193C2×Q8—1881no—
1194C2×Q8—1881no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—474no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4C2×C4×D4714yes—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—474no—
1228C22×C4—474no—
1229C22×C4—474no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—18816no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4C2×C4×D4714yescomplemented
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4C2×C4×D4714yescomplemented
1320C4⋊C4C2×C4×D4714yescomplemented
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—474no—
1336C22⋊C4—474no—
1337C22⋊C4—474no—
1338C22⋊C4—474no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4C2×C4×D4714yes—
1361C22⋊C4C2×C4×D4714yes—
1362C22⋊C4C2×C4×D4714yescomplemented
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—474no—
1369C42—474no—
1370C42—942no—
1371C42—942no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—472no—
1394C23—472no—
1395C23—472no—
1396C23—472no—
1397C23—472no—
1398C23—948no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—1884no—
1416C23—1884no—
1417C23—1884no—
1418C23—1884no—
1419C23—1884no—
1420C23—1884no—
1421C23C22×C4×D4712yes—
1422C23C22×C4×D4712yes—
1423C23C24×D4711yescharacteristic
1424Q8—1884no—
1425D4—44no—
1426D4—948no—
1427D4—948no—
1428D4—1884no—
1429D4—1884no—
1430D4—1884no—
1431D4—1884no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—3762no—
1507C2×C4—3762no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—3762no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4#1309407012yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—474no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—18816no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22C23×C4×D4711yescharacteristic
1563C22H(5,𝔽2)×D4711yescharacteristic
1564C22H(5,𝔽2)×D4711yescharacteristic
1565C22C2×#1309407011yescharacteristic
1566C222−1+4×D4711yescharacteristic
1567C22#1568995811yescharacteristic
1568C22#1568995911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C2—42no—
1596C2—42no—
1597C2—944no—
1598C2—1882no—
1599C2—1882no—
1600C2#520×D4711yescharacteristic
1601C2#2025659211yescharacteristic
1602C2C4×#1309407011yescharacteristic
1603C2#2025753911yescharacteristic
1604C2#2025754811yescharacteristic
1605C2#2025767711yescharacteristic
1606C2#2025768011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2335C2
socle, cosocleC23×C47C25
prime radicalC2×#15689709C2
hypercenter#2335D47
hypocenterC47#34416
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #20246578C2semidirect
3. #20246557C2semidirect
4. #20246542C2semidirect
5. #20246535C2semidirect
6. #20246511C2semidirect
7. #20246470C2semidirect
8. #20246454C2semidirect
9. #20246432C2semidirect
10. #20246402C2semidirect
11. #20246401C2semidirect
12. #20246395C2semidirect
13. #20246385C2semidirect
14. #20246331C2semidirect
15. #20246312C2semidirect
16. #20246297C2semidirect
17. #20246284C2semidirect
18. #20246195C2semidirect
19. #20246170C2semidirect
20. #20246165C2semidirect
21. #20246094C2semidirect
22. #20246090C2semidirect
23. #20246084C2semidirect
24. #20246060C2semidirect
25. #20246047C2semidirect
26. #20246041C2semidirect
27. #20245982C2semidirect
28. #20245893C2semidirect
29. C4×#13093994C2semidirect
30. #385×D47C2semidirect
31. C47×#2335C2semidirect
33. #15689709C4semidirect
45. C2×#13093989C22semidirect
56. C2×(C22⋊D47)⋊C4C22semidirect
57. C2×#13093981C22semidirect
58. C22×C4⋊Dic47C22semidirect
63. #15689029C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
69. #15689023C22semidirect
70. #15689022C22semidirect
71. #15689022C22semidirect
72. #15689021C22semidirect
73. #15689021C22semidirect
74. #15689020C22semidirect
75. #15689020C22semidirect
76. #15689020C22semidirect
83. #15689015C22semidirect
84. #15689015C22semidirect
90. #15689013C22semidirect
93. #15689012C22semidirect
95. #15689011C22semidirect
96. #15689011C22semidirect
97. #15689009C22semidirect
98. #15689009C22semidirect
99. #15689008C22semidirect
100. #15689008C22semidirect
101. #15689008C22semidirect
102. #15689007C22semidirect
103. #15689007C22semidirect
104. #15689006C22semidirect
105. #15689005C22semidirect
106. #15689004C22semidirect
114. #15689000C22semidirect
119. #15688999C22semidirect
122. #15688998C22semidirect
130. #15688997C22semidirect
134. #15688995C22semidirect
135. #15688995C22semidirect
139. #15688994C22semidirect
140. #15688994C22semidirect
141. #15688992C22semidirect
142. #15688990C22semidirect
143. #15688988C22semidirect
144. #15688987C22semidirect
145. #15688986C22semidirect
147. #15688982C22semidirect
149. #15688980C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×C4⋊Dic47C22semidirect
157. #15688974C22semidirect
159. C22⋊C4×Dic47C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
169. #15688968C22semidirect
172. #95×D47C22semidirect
175. C47×#389C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
184. C47×#380C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
213. #13094019C2×C4semidirect
214. #13094017C2×C4semidirect
215. #13094010C2×C4semidirect
216. #13094010C2×C4semidirect
217. #13094009C2×C4semidirect
218. #13094004C2×C4semidirect
219. #13093998C2×C4semidirect
220. #13093997C2×C4semidirect
221. #13093995C2×C4semidirect
222. #13093994C2×C4semidirect
223. #13093992C2×C4semidirect
229. #13093986C2×C4semidirect
231. C4×C22⋊D47C2×C4semidirect
296. C22⋊C4×D47C2×C4semidirect
343. #123×C47C2×C4semidirect
396. C22×C4×C47C22×C4semidirect
421. C2×C22⋊D47C22×C4semidirect
483. C2×C4×D47C22×C4semidirect
486. C2×Dic94C22×C4semidirect
492. C4⋊C4×C47C22×C4semidirect
493. C4⋊C4×C47C22×C4semidirect
503. C22⋊C4×C47C22×C4semidirect
516. C22⋊Dic47C22×C4semidirect
539. (C2×D47)⋊C4C22×C4semidirect
540. (C2×D47)⋊C4C22×C4semidirect
548. C4⋊Dic47C22×C4semidirect
549. C4⋊Dic47C22×C4semidirect
562. Dic47⋊C4C22×C4semidirect
563. Dic47⋊C4C22×C4semidirect
575. C4×Dic47C22×C4semidirect
576. C4×Dic47C22×C4semidirect
810. #2335D47semidirect
882. #389C2×D47semidirect
905. #388C2×D47semidirect
906. #388C2×D47semidirect
917. #387C2×D47semidirect
918. #387C2×D47semidirect
964. #380C2×D47semidirect
973. C4×C4⋊C4C2×D47semidirect
986. C4×C22⋊C4C2×D47semidirect
991. C47#34416semidirect
1025. #123C4×D47semidirect
1277. C22×C4C2×C4×D47semidirect
1319. C4⋊C4C2×C4×D47semidirect
1320. C4⋊C4C2×C4×D47semidirect
1362. C22⋊C4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897092
#202465782
#202465572
#202465422
#202465352
#202465112
#202464702
#202464542
#202464322
#202464022
#202464012
#202463952
#202463852
#202463312
#202463122
#202462972
#202462842
#202461952
#202461702
#202461652
#202460942
#202460902
#202460842
#202460602
#202460472
#202460412
#202459822
#202458932
C4×#130939942
#385×D472
C47×#23352
#3441647