Finite Group Databasebeta

← #26378962

Subgroups — #26378962

Order 12032.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689861C211yesmaximal, characteristic
2#20246578C211yesmaximal, characteristic, complemented
3#20246576C211yesmaximal, characteristic, complemented
4#20246563C211yesmaximal, characteristic, complemented
5#20246547C211yesmaximal, characteristic, complemented
6#20246546C211yesmaximal, characteristic, complemented
7#20246544C211yesmaximal, characteristic, complemented
8#20246540C211yesmaximal, characteristic, complemented
9#20246539C211yesmaximal, characteristic, complemented
10#20246535C211yesmaximal, characteristic, complemented
11#20246534C211yesmaximal, characteristic, complemented
12#20246532C211yesmaximal, characteristic, complemented
13#20246528C211yesmaximal, characteristic, complemented
14#20246526C211yesmaximal, characteristic, complemented
15#20246525C211yesmaximal, characteristic, complemented
16#20245952C211yesmaximal, characteristic, complemented
17#20245942C211yesmaximal, characteristic, complemented
18#20245938C211yesmaximal, characteristic, complemented
19#20245909C211yesmaximal, characteristic, complemented
20#20245907C211yesmaximal, characteristic, complemented
21#20245905C211yesmaximal, characteristic, complemented
22#20245904C211yesmaximal, characteristic, complemented
23#121×Dic47C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26#20245898C211yesmaximal, characteristic, complemented
27#20245894C211yesmaximal, characteristic, complemented
28#20245893C211yesmaximal, characteristic, complemented
29#20245893C211yesmaximal, characteristic, complemented
30#20245889C211yesmaximal, characteristic, complemented
31C47×#2377C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689861C4116yescomplemented
34C2×#13094020C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13094007C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093995C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×D4×Dic47C2211yescharacteristic
49C2×D4×Dic47C2211yescharacteristic
50C2×D4×Dic47C2211yescharacteristic, complemented
51C2×#13093986C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
60C22×C4×Dic47C2211yescharacteristic, complemented
61C22×C4×Dic47C2211yescharacteristic, complemented
62C2×C42×D47C2211yescharacteristic, complemented
63#15689026C2211yescharacteristic
64#15689025C2211yescharacteristic
65#15689024C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic
71#15689023C2211yescharacteristic, complemented
72#15689023C2211yescharacteristic, complemented
73#15689022C2211yescharacteristic, complemented
74#15689021C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689019C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic
80#15689017C2211yescharacteristic
81#15689017C2211yescharacteristic, complemented
82#15689016C2211yescharacteristic
83#15689016C2211yescharacteristic, complemented
84#15689015C2211yescharacteristic
85#15689015C2211yescharacteristic
86#15689015C2211yescharacteristic
87#15689015C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic
89#15689014C2211yescharacteristic
90#15689014C2211yescharacteristic
91#15689013C2211yescharacteristic
92#15689013C2211yescharacteristic
93#15689013C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689012C2211yescharacteristic
97#15689012C2211yescharacteristic, complemented
98#15689011C2211yescharacteristic
99#15689011C2211yescharacteristic
100#15689011C2211yescharacteristic, complemented
101#15689010C2211yescharacteristic, complemented
102#15689008C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689006C2211yescharacteristic, complemented
106#15689006C2211yescharacteristic, complemented
107#15689005C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic, complemented
113#15689002C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic, complemented
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689000C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15689000C2211yescharacteristic, complemented
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic, complemented
136#15688996C2211yescharacteristic
137#15688996C2211yescharacteristic
138#15688995C2211yescharacteristic, complemented
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688992C2211yescharacteristic, complemented
142#15688990C2211yescharacteristic, complemented
143#15688990C2211yescharacteristic, complemented
144#15688985C2211yescharacteristic, complemented
145#15688984C2211yescharacteristic, complemented
146#15688983C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic, complemented
148#15688981C2211yescharacteristic, complemented
149#15688981C2211yescharacteristic, complemented
150#15688980C2211yescharacteristic, complemented
151#15688978C2211yescharacteristic
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4⋊C4×Dic47C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic, complemented
164C22⋊C4×Dic47C2211yescharacteristic, complemented
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×#121×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic
175C47×#390C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094020C2×C418yescomplemented
214#13094019C2×C418yescomplemented
215#13094017C2×C418yescomplemented
216#13094009C2×C418yescomplemented
217#13094008C2×C418yescomplemented
218#13094007C2×C418yescomplemented
219#13093998C2×C418yescomplemented
220#13093997C2×C418yescomplemented
221#13093996C2×C418yescomplemented
222#13093996C2×C418yescomplemented
223#13093995C2×C418yescomplemented
224#13093994C2×C418yescomplemented
225#13093992C2×C418yescomplemented
226#13093992C2×C418yescomplemented
227D4×Dic47—42no—
228D4×Dic47—42no—
229D4×Dic47—42no—
230#13093986—42no—
231#13093986—42no—
232(C22⋊D47)⋊C4—42no—
233(C22⋊D47)⋊C4—42no—
234(C22⋊D47)⋊C4—42no—
235(C22⋊D47)⋊C4—42no—
236(C22⋊D47)⋊C4—42no—
237(C22⋊D47)⋊C4—42no—
238(C22⋊D47)⋊C4—42no—
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47—42no—
295C2×C4×Dic47—42no—
296C2×C4×Dic47C2311yescharacteristic
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
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C42×D47—42no—
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
341C22×D4×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346#121×C47C2×C418yescomplemented
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×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
378C24×C47C2411yescharacteristic
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47C22×C414yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47C22×C414yes—
396C2×D4×C47C22×C414yes—
397C2×D4×C47C22×C414yescomplemented
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47C22×C414yescomplemented
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47C22×C414yes—
434C2×C22⋊D47C22×C414yes—
435C2×C22⋊D47C22×C414yes—
436C2×C22⋊D47C22×C414yes—
437C2×C22⋊D47C22×C414yes—
438C2×C22⋊D47C22×C414yescomplemented
439C2×C22⋊D47C22×C414yescomplemented
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47C22×C414yescomplemented
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188—41no—
472C2×D188C22×C414yes—
473C2×D188C22×C414yes—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—416no—
495C2×C4×D47C22×C414yescomplemented
496C4⋊C4×C47—41no—
497C4⋊C4×C47—41no—
498C4⋊C4×C47—41no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47C22×C414yescomplemented
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47C22×C414yes—
512C22⋊C4×C47C22×C414yescomplemented
513C42×C47—41no—
514C42×C47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47C22×C414yes—
524C22⋊Dic47C22×C414yes—
525C22⋊Dic47C22×C414yescomplemented
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)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4C22×C414yes—
545(C2×D47)⋊C4C22×C414yes—
546(C2×D47)⋊C4C22×C414yes—
547(C2×D47)⋊C4C22×C414yes—
548(C2×D47)⋊C4C22×C414yes—
549(C2×D47)⋊C4C22×C414yes—
550(C2×D47)⋊C4C22×C414yescomplemented
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47C22×C414yescomplemented
556C4⋊Dic47C22×C414yescomplemented
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4C22×C414yescomplemented
568Dic47⋊C4C22×C414yescomplemented
569Dic47⋊C4C22×C414yescomplemented
570C4×Dic47—22no—
571C4×Dic47—22no—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—22no—
578C4×Dic47—22no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C4×Dic47—41no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47C22×C414yescomplemented
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47C23×C412yes—
606C23×C47C23×C412yes—
607C23×C47C23×C412yes—
608C23×C47C2511yescharacteristic
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—44no—
628C22×D47—44no—
629C22×D47—44no—
630C22×D47—44no—
631C22×D47—44no—
632C22×D47—44no—
633C22×D47—44no—
634C22×D47C23×C412yes—
635C22×D47C23×C412yes—
636C22×D47C23×C412yes—
637D4×C47—44no—
638D4×C47—44no—
639D4×C47—44no—
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—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—44no—
673C2×C4×C47—44no—
674C2×C4×C47—44no—
675C2×C4×C47C23×C412yes—
676C2×C4×C47C23×C412yes—
677C2×C4×C47C23×C412yes—
678C2×C4×C47C23×C412yes—
679C22⋊D47—44no—
680C22⋊D47—44no—
681C22⋊D47—44no—
682C22⋊D47—44no—
683C22⋊D47—44no—
684C22⋊D47—44no—
685C22⋊D47—44no—
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—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—44no—
718C2×Dic47—44no—
719C2×Dic47—44no—
720C2×Dic47—44no—
721C2×Dic47—44no—
722C2×Dic47C23×C412yes—
723C2×Dic47C23×C412yes—
724C2×Dic47C23×C412yes—
725C2×Dic47C23×C412yes—
726C2×Dic47C23×C412yes—
727C2×Dic47H(5,𝔽2)12yes—
728C2×Dic47H(5,𝔽2)12yes—
729C2×Dic47H(5,𝔽2)12yes—
730D188—44no—
731D188—44no—
732C4×D47—44no—
733C4×D47—44no—
734C4×D47—44no—
735C4×D47—44no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739C4×#560—471nomaximal, Sylow
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47C24×C411yescharacteristic
762C22×C47C2×H(5,𝔽2)11yescharacteristic
763C22×C47C2×H(5,𝔽2)11yescharacteristic
764C22×C47C2×H(5,𝔽2)11yescharacteristic
765C22×C47#58511yescharacteristic
766C22×C47#58511yescharacteristic
767C22×C47#58511yescharacteristic
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—416no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C4×C47—22no—
791C4×C47—22no—
792C4×C47—22no—
793C4×C47—22no—
794C4×C47—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802Dic47—22no—
803Dic47—22no—
804Dic47—22no—
805Dic47—22no—
806Dic47—22no—
807Dic47—41no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47#56014yescomplemented
815C2×#560—471no—
816#2383—471no—
817#2383—471no—
818#2380—471no—
819#2377—471no—
820#2377—471no—
821#2377—471no—
822#2377—471no—
823#2377—471no—
824#2377D4711yescharacteristic, complemented
825#2376—471no—
826#2376—471no—
827#2376—471no—
828#2375—471no—
829#2375—471no—
830#2375—471no—
831C4×#127—471no—
832C4×#126—471no—
833C4×#126—471no—
834C4×#123—471no—
835C4×#123—471no—
836C4×#123—471no—
837C4×#121—471no—
838C4×#121—471no—
839C4×#121—471no—
840C4×#121—471no—
841C4×#121—471no—
842C4×#121—471no—
843C4×#120—471no—
844C4×#120—471no—
845C4×#120—471no—
846C2×C47—42no—
847C2×C47—42no—
848C2×C47—42no—
849C2×C47C4×H(5,𝔽2)11yescharacteristic
850C2×C47C4×H(5,𝔽2)11yescharacteristic
851C2×C47C4×H(5,𝔽2)11yescharacteristic
852C2×C47C2×#56011yescharacteristic
853C2×C47#352911yescharacteristic
854C2×C47#352911yescharacteristic
855C2×C47#352911yescharacteristic
856D47—42no—
857D47—42no—
858D47—42no—
859C24×C4—471no—
860#560—4716no—
861C2×#127—471no—
862C2×#126—471no—
863C2×#126—471no—
864C2×#123—471no—
865C2×#123—471no—
866C2×#123—471no—
867C2×#121—471no—
868C2×#121—471no—
869C2×#121—471no—
870C2×#121—471no—
871C2×#121—471no—
872C2×#121C2×D4711yescharacteristic
873C2×#120—471no—
874C2×#120—471no—
875C2×#120—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4—471no—
883C2×C4×D4—471no—
884C2×C4×D4—471no—
885C2×C4×D4—471no—
886C2×C4×D4—471no—
887C2×C4×D4—471no—
888C22×C42—471no—
889C22×C42—471no—
890C22×C42—471no—
891#390—471no—
892#390—471no—
893#390—471no—
894#390—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390C2×D4711yescharacteristic
902#390C2×D4711yescharacteristic, complemented
903#389—471no—
904#389—471no—
905#389—471no—
906#389—471no—
907#389—471no—
908#389—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388C2×D4711yescharacteristic
932#388C2×D4711yescharacteristic, complemented
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—471no—
941#387—471no—
942#387—471no—
943#387C2×D4711yescharacteristic, complemented
944#387C2×D4711yescharacteristic, complemented
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386C2×D4711yescharacteristic
966#386C2×D4711yescharacteristic
967#386C2×D4711yescharacteristic
968#386C2×D4711yescharacteristic, complemented
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385C2×D4711yescharacteristic
980#385C2×D4711yescharacteristic, complemented
981#384—471no—
982#383—471no—
983#383—471no—
984#381—471no—
985#381—471no—
986#381C2×D4711yescharacteristic, complemented
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380C2×D4711yescharacteristic, complemented
993#379—471no—
994#379—471no—
995#379—471no—
996C4×C4⋊C4—471no—
997C4×C4⋊C4—471no—
998C4×C4⋊C4—471no—
999C4×C4⋊C4—471no—
1000C4×C4⋊C4—471no—
1001C4×C4⋊C4—471no—
1002C4×C22⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005C4×C22⋊C4—471no—
1006C4×C22⋊C4—471no—
1007C4×C22⋊C4—471no—
1008C4×C22⋊C4—471no—
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C43—471no—
1015C47C4×#56011yescharacteristic, complemented, Sylow
1016C25—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4—471no—
1022C22×D4—471no—
1023C22×D4—471no—
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4C22×D4711yescharacteristic
1027C22×D4C22×D4711yescharacteristic
1028C22×D4C22×D4711yescharacteristic
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—1882no—
1042C23×C4—1882no—
1043C23×C4—1882no—
1044C23×C4C22×D4711yescharacteristic
1045C23×C4C22×D4711yescharacteristic
1046C23×C4C22×D4711yescharacteristic
1047#127—478no—
1048#126—478no—
1049#126—478no—
1050#123—478no—
1051#123—478no—
1052#123—478no—
1053#121—478no—
1054#121—478no—
1055#121—478no—
1056#121—478no—
1057#121—478no—
1058#121C4×D4718yescomplemented
1059#120—478no—
1060#120—478no—
1061#120—478no—
1062C4×D4—1882no—
1063C4×D4—1882no—
1064C4×D4—1882no—
1065C4×D4—1882no—
1066C4×D4—1882no—
1067C4×D4—1882no—
1068C4×D4—1882no—
1069C4×D4—1882no—
1070C4×D4—1882no—
1071C4×D4—1882no—
1072C4×D4—1882no—
1073C4×D4—1882no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—1882no—
1164C2×C42—1882no—
1165C2×C42—1882no—
1166C2×C42C22×D4711yescharacteristic
1167C2×C42C22×D4711yescharacteristic
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200#95C22×D4711yescharacteristic
1201#95C22×D4711yescharacteristic
1202#95C22×D4711yescharacteristic
1203#95C22×D4711yescharacteristic
1204C24—471no—
1205C24—471no—
1206C24—471no—
1207C24—474no—
1208C24—1881no—
1209C24—1881no—
1210C24—1881no—
1211C24—1881no—
1212C24—1881no—
1213C24—1881no—
1214C24C23×D4711yescharacteristic
1215C24C23×D4711yescharacteristic
1216C24C23×D4711yescharacteristic
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—474no—
1224C2×D4—474no—
1225C2×D4—474no—
1226C2×D4—474no—
1227C2×D4—474no—
1228C2×D4—474no—
1229C2×D4—474no—
1230C2×D4—474no—
1231C2×D4—474no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C2×D4—1881no—
1249C2×D4—1881no—
1250C2×D4C2×C4×D4714yes—
1251C2×D4C2×C4×D4714yes—
1252C2×D4C2×C4×D4714yescomplemented
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—474no—
1268C22×C4—474no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—1881no—
1298C22×C4—1881no—
1299C22×C4—1881no—
1300C22×C4—1881no—
1301C22×C4—1881no—
1302C22×C4—1881no—
1303C22×C4—1881no—
1304C22×C4—1881no—
1305C22×C4—18816no—
1306C22×C4—1881no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4C2×C4×D4714yescomplemented
1312C22×C4C23×D4711yescharacteristic
1313C22×C4C23×D4711yescharacteristic
1314C22×C4C23×D4711yescharacteristic
1315C22×C4C23×D4711yescharacteristic
1316C22×C4C23×D4711yescharacteristic
1317C22×C4C23×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—474no—
1329C4⋊C4—474no—
1330C4⋊C4—474no—
1331C4⋊C4—474no—
1332C4⋊C4—474no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C4⋊C4—1881no—
1346C4⋊C4—1881no—
1347C4⋊C4C2×C4×D4714yescomplemented
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—474no—
1359C22⋊C4—474no—
1360C22⋊C4—474no—
1361C22⋊C4—474no—
1362C22⋊C4—474no—
1363C22⋊C4—474no—
1364C22⋊C4—474no—
1365C22⋊C4—474no—
1366C22⋊C4—474no—
1367C22⋊C4—474no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4C2×C4×D4714yes—
1395C22⋊C4C2×C4×D4714yescomplemented
1396C42—41no—
1397C42—41no—
1398C42—474no—
1399C42—942no—
1400C42—942no—
1401C42—942no—
1402C42—942no—
1403C42—942no—
1404C42—942no—
1405C42—942no—
1406C42—942no—
1407C42—942no—
1408C42—1881no—
1409C42—1881no—
1410C42—1881no—
1411C42—1881no—
1412C42—1881no—
1413C42—1881no—
1414C42—1881no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—472no—
1434C23—472no—
1435C23—472no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—1884no—
1455C23—1884no—
1456C23—1884no—
1457C23—1884no—
1458C23—1884no—
1459C23—1884no—
1460C23—1884no—
1461C23C22×C4×D4712yes—
1462C23C22×C4×D4712yes—
1463C23C22×C4×D4712yes—
1464C23C24×D4711yescharacteristic
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—1884no—
1469D4—1884no—
1470D4—1884no—
1471D4—1884no—
1472D4—1884no—
1473D4—1884no—
1474D4—1884no—
1475D4—1884no—
1476D4—1884no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—472no—
1513C2×C4—472no—
1514C2×C4—472no—
1515C2×C4—472no—
1516C2×C4—472no—
1517C2×C4—472no—
1518C2×C4—472no—
1519C2×C4—472no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4—1884no—
1554C2×C4—1884no—
1555C2×C4—1884no—
1556C2×C4—1884no—
1557C2×C4—1884no—
1558C2×C4—1884no—
1559C2×C4—1884no—
1560C2×C4—1884no—
1561C2×C4—1884no—
1562C2×C4—1884no—
1563C2×C4C22×C4×D4712yes—
1564C2×C4C22×C4×D4712yes—
1565C2×C4C22×C4×D4712yes—
1566C2×C4C22×C4×D4712yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—942no—
1589C22—942no—
1590C22—942no—
1591C22—942no—
1592C22—942no—
1593C22—942no—
1594C22—942no—
1595C22—942no—
1596C22—942no—
1597C22—18816no—
1598C22—1881no—
1599C22—1881no—
1600C22—1881no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22C23×C4×D4711yescharacteristic
1611C22H(5,𝔽2)×D4711yescharacteristic
1612C22H(5,𝔽2)×D4711yescharacteristic
1613C22H(5,𝔽2)×D4711yescharacteristic
1614C22#1568995811yescharacteristic
1615C22#1568995811yescharacteristic
1616C22#1568996011yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—474no—
1630C4—942no—
1631C4—942no—
1632C4—942no—
1633C4—942no—
1634C4—942no—
1635C4—1881no—
1636C4—1881no—
1637C4—1881no—
1638C4—1881no—
1639C4—1881no—
1640C4—1881no—
1641C4—1881no—
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—1882no—
1646C2—1882no—
1647C2—1882no—
1648C2#2025659211yescharacteristic
1649C2#2025659211yescharacteristic
1650C2#2025659411yescharacteristic
1651C2#560×D4711yescharacteristic
1652C2#2025752311yescharacteristic
1653C2#2025752511yescharacteristic
1654C2#2025752511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2377C2
socle, cosocleC23×C47C25
prime radicalC2×#15689861C2
hypercenter#2377D47
hypocenterC47C4×#560
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #20246578C2semidirect
3. #20246576C2semidirect
4. #20246563C2semidirect
5. #20246547C2semidirect
6. #20246546C2semidirect
7. #20246544C2semidirect
8. #20246540C2semidirect
9. #20246539C2semidirect
10. #20246535C2semidirect
11. #20246534C2semidirect
12. #20246532C2semidirect
13. #20246528C2semidirect
14. #20246526C2semidirect
15. #20246525C2semidirect
16. #20245952C2semidirect
17. #20245942C2semidirect
18. #20245938C2semidirect
19. #20245909C2semidirect
20. #20245907C2semidirect
21. #20245905C2semidirect
22. #20245904C2semidirect
23. #121×Dic47C2semidirect
24. #20245900C2semidirect
25. #20245898C2semidirect
26. #20245898C2semidirect
27. #20245894C2semidirect
28. #20245893C2semidirect
29. #20245893C2semidirect
30. #20245889C2semidirect
31. C47×#2377C2semidirect
33. #15689861C4semidirect
50. C2×D4×Dic47C22semidirect
58. C2×(C22⋊D47)⋊C4C22semidirect
59. C2×(C22⋊D47)⋊C4C22semidirect
60. C22×C4×Dic47C22semidirect
61. C22×C4×Dic47C22semidirect
62. C2×C42×D47C22semidirect
71. #15689023C22semidirect
72. #15689023C22semidirect
73. #15689022C22semidirect
74. #15689021C22semidirect
75. #15689020C22semidirect
76. #15689020C22semidirect
77. #15689019C22semidirect
78. #15689018C22semidirect
81. #15689017C22semidirect
83. #15689016C22semidirect
87. #15689015C22semidirect
97. #15689012C22semidirect
100. #15689011C22semidirect
101. #15689010C22semidirect
102. #15689008C22semidirect
103. #15689007C22semidirect
104. #15689006C22semidirect
105. #15689006C22semidirect
106. #15689006C22semidirect
107. #15689005C22semidirect
108. #15689005C22semidirect
109. #15689004C22semidirect
110. #15689004C22semidirect
112. #15689003C22semidirect
116. #15689002C22semidirect
123. #15689000C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
135. #15688997C22semidirect
138. #15688995C22semidirect
141. #15688992C22semidirect
142. #15688990C22semidirect
143. #15688990C22semidirect
144. #15688985C22semidirect
145. #15688984C22semidirect
146. #15688983C22semidirect
147. #15688982C22semidirect
148. #15688981C22semidirect
149. #15688981C22semidirect
150. #15688980C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4⋊C4×Dic47C22semidirect
157. #15688974C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
163. C22⋊C4×Dic47C22semidirect
164. C22⋊C4×Dic47C22semidirect
171. #15688970C22semidirect
172. C42×Dic47C22semidirect
175. C47×#390C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
183. C47×#386C22semidirect
185. C47×#385C22semidirect
186. C47×#381C22semidirect
187. C47×#380C22semidirect
213. #13094020C2×C4semidirect
214. #13094019C2×C4semidirect
215. #13094017C2×C4semidirect
216. #13094009C2×C4semidirect
217. #13094008C2×C4semidirect
218. #13094007C2×C4semidirect
219. #13093998C2×C4semidirect
220. #13093997C2×C4semidirect
221. #13093996C2×C4semidirect
222. #13093996C2×C4semidirect
223. #13093995C2×C4semidirect
224. #13093994C2×C4semidirect
225. #13093992C2×C4semidirect
226. #13093992C2×C4semidirect
346. #121×C47C2×C4semidirect
397. C2×D4×C47C22×C4semidirect
406. C22×C4×C47C22×C4semidirect
438. C2×C22⋊D47C22×C4semidirect
439. C2×C22⋊D47C22×C4semidirect
454. C22×Dic47C22×C4semidirect
495. C2×C4×D47C22×C4semidirect
500. C4⋊C4×C47C22×C4semidirect
512. C22⋊C4×C47C22×C4semidirect
525. C22⋊Dic47C22×C4semidirect
550. (C2×D47)⋊C4C22×C4semidirect
555. C4⋊Dic47C22×C4semidirect
556. C4⋊Dic47C22×C4semidirect
567. Dic47⋊C4C22×C4semidirect
568. Dic47⋊C4C22×C4semidirect
569. Dic47⋊C4C22×C4semidirect
586. C4×Dic47C22×C4semidirect
814. Dic47#560semidirect
824. #2377D47semidirect
902. #390C2×D47semidirect
932. #388C2×D47semidirect
943. #387C2×D47semidirect
944. #387C2×D47semidirect
968. #386C2×D47semidirect
980. #385C2×D47semidirect
986. #381C2×D47semidirect
992. #380C2×D47semidirect
1015. C47C4×#560semidirect
1058. #121C4×D47semidirect
1252. C2×D4C2×C4×D47semidirect
1311. C22×C4C2×C4×D47semidirect
1347. C4⋊C4C2×C4×D47semidirect
1395. 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×#156898612
#202465782
#202465762
#202465632
#202465472
#202465462
#202465442
#202465402
#202465392
#202465352
#202465342
#202465322
#202465282
#202465262
#202465252
#202459522
#202459422
#202459382
#202459092
#202459072
#202459052
#202459042
#121×Dic472
#202459002
#202458982
#202458942
#202458932
#202458892
C47×#23772
C4×#56047