Finite Group Databasebeta

← #26423823

Subgroups — #26423823

Order 12032.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689739C211yesmaximal, characteristic, complemented
2C2×#15689708C211yesmaximal, characteristic, complemented
3#20251715C211yesmaximal, characteristic, complemented
4#20251688C211yesmaximal, characteristic, complemented
5#20250300C211yesmaximal, characteristic, complemented
6#20250211C211yesmaximal, characteristic, complemented
7#20250205C211yesmaximal, characteristic, complemented
8#20250160C211yesmaximal, characteristic, complemented
9#20249984C211yesmaximal, characteristic, complemented
10#20249956C211yesmaximal, characteristic, complemented
11#20249933C211yesmaximal, characteristic, complemented
12#20249874C211yesmaximal, characteristic, complemented
13#20249826C211yesmaximal, characteristic, complemented
14#20249800C211yesmaximal, characteristic, complemented
15#20249768C211yesmaximal, characteristic, complemented
16#20249686C211yesmaximal, characteristic, complemented
17#20249671C211yesmaximal, characteristic, complemented
18#20249610C211yesmaximal, characteristic, complemented
19#20249596C211yesmaximal, characteristic, complemented
20#20249541C211yesmaximal, characteristic, complemented
21#20249523C211yesmaximal, characteristic, complemented
22#20249078C211yesmaximal, characteristic, complemented
23#20249023C211yesmaximal, characteristic, complemented
24#20249001C211yesmaximal, characteristic, complemented
25#20248988C211yesmaximal, characteristic, complemented
26#20248873C211yesmaximal, characteristic, complemented
27#20248543C211yesmaximal, characteristic, complemented
28#20246810C211yesmaximal, characteristic, complemented
29#20246775C211yesmaximal, characteristic, complemented
30#20245830C211yesmaximal, characteristic, complemented
31C47×#2685C211yesmaximal, characteristic, complemented
32#15689739—28no—
33#15689708—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic
37C2×#13094017C2211yescharacteristic
38C2×#13094012C2211yescharacteristic, complemented
39C2×#13094011C2211yescharacteristic
40C2×#13094011C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43C2×#13094010C2211yescharacteristic
44C2×#13094009C2211yescharacteristic, complemented
45C2×#13094008C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic
52C2×#13094001C2211yescharacteristic, complemented
53C2×#13093997C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093993C2211yescharacteristic
59C2×#13093993C2211yescharacteristic
60C2×C4×Dic94C2211yescharacteristic, complemented
61C2×D4×Dic47C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×#13093982C2211yescharacteristic, complemented
64C2×#13093980C2211yescharacteristic
65C22×C22⋊Dic47C2211yescharacteristic
66C2×C42×D47C2211yescharacteristic, complemented
67#15689064C2211yescharacteristic, complemented
68#15689061C2211yescharacteristic, complemented
69#15689059C2211yescharacteristic
70#15689056C2211yescharacteristic, complemented
71#15689053C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic
73#15689051C2211yescharacteristic
74#15689051C2211yescharacteristic
75#15689051C2211yescharacteristic
76#15689051C2211yescharacteristic
77#15689051C2211yescharacteristic, complemented
78#15689050C2211yescharacteristic, complemented
79#15689049C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689048C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689045C2211yescharacteristic, complemented
85#15689044C2211yescharacteristic, complemented
86#15689043C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic, complemented
96#15689037C2211yescharacteristic
97#15689036C2211yescharacteristic, complemented
98#15689035C2211yescharacteristic
99#15689035C2211yescharacteristic
100#15689035C2211yescharacteristic
101#15689035C2211yescharacteristic
102#15689035C2211yescharacteristic
103#15689035C2211yescharacteristic, complemented
104#15689032C2211yescharacteristic
105#15689032C2211yescharacteristic, complemented
106#15689031C2211yescharacteristic
107#15689031C2211yescharacteristic
108#15689031C2211yescharacteristic
109#15689029C2211yescharacteristic, complemented
110#15689029C2211yescharacteristic, complemented
111#15689028C2211yescharacteristic, complemented
112#15689027C2211yescharacteristic, complemented
113#15689026C2211yescharacteristic
114#15689023C2211yescharacteristic
115#15689023C2211yescharacteristic
116#15689023C2211yescharacteristic
117#15689023C2211yescharacteristic, complemented
118#15689022C2211yescharacteristic, complemented
119#15689022C2211yescharacteristic, complemented
120#15689020C2211yescharacteristic, complemented
121#15689018C2211yescharacteristic, complemented
122#15689018C2211yescharacteristic, complemented
123#15689017C2211yescharacteristic
124#15689017C2211yescharacteristic, complemented
125#15689016C2211yescharacteristic
126#15689016C2211yescharacteristic
127#15689016C2211yescharacteristic
128#15689016C2211yescharacteristic
129#15689016C2211yescharacteristic
130#15689016C2211yescharacteristic
131#15689016C2211yescharacteristic, complemented
132#15689016C2211yescharacteristic, complemented
133#15689015C2211yescharacteristic, complemented
134#15689014C2211yescharacteristic, complemented
135#15689013C2211yescharacteristic, complemented
136#15689011C2211yescharacteristic
137#15689011C2211yescharacteristic
138#15689011C2211yescharacteristic
139#15689011C2211yescharacteristic, complemented
140#15689010C2211yescharacteristic, complemented
141#15689008C2211yescharacteristic, complemented
142#15689007C2211yescharacteristic, complemented
143#15689007C2211yescharacteristic, complemented
144#15689005C2211yescharacteristic, complemented
145#15689005C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic, complemented
147#15689000C2211yescharacteristic
148#15689000C2211yescharacteristic, complemented
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic
151#15688999C2211yescharacteristic
152#15688999C2211yescharacteristic
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic
155#15688999C2211yescharacteristic
156#15688999C2211yescharacteristic, complemented
157#15688999C2211yescharacteristic, complemented
158#15688999C2211yescharacteristic, complemented
159#15688998C2211yescharacteristic, complemented
160#15688997C2211yescharacteristic, complemented
161#15688995C2211yescharacteristic
162#15688994C2211yescharacteristic, complemented
163#15688994C2211yescharacteristic, complemented
164#15688988C2211yescharacteristic, complemented
165#15688984C2211yescharacteristic
166#15688984C2211yescharacteristic
167#15688982C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic, complemented
169#15688979C2211yescharacteristic
170C4⋊C4×Dic47C2211yescharacteristic, complemented
171C22⋊C4×Dic47C2211yescharacteristic
172#15688970C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C47×#399C2211yescharacteristic
177C47×#396C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#390C2211yescharacteristic
183C47×#390C2211yescharacteristic
184C47×#388C2211yescharacteristic
185C47×#388C2211yescharacteristic
186C47×#388C2211yescharacteristic
187C47×#379C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094023—24no—
210#13094019—24no—
211#13094017—24no—
212#13094017—24no—
213#13094012—24no—
214#13094011—24no—
215#13094011—42no—
216#13094010—24no—
217#13094010—24no—
218#13094010—24no—
219#13094009—24no—
220#13094008—24no—
221#13094006—24no—
222#13094005—24no—
223#13094004—24no—
224#13094002—24no—
225#13094001—24no—
226#13094001—24no—
227#13094001—42no—
228#13093997—24no—
229#13093997—42no—
230#13093996—24no—
231#13093996—24no—
232#13093995—24no—
233#13093993—24no—
234#13093993—42no—
235C4×Dic94—24no—
236D4×Dic47—24no—
237(C22⋊D47)⋊C4D418yescomplemented
238#13093982—24no—
239#13093980—42no—
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
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
261C2×Dic47⋊C4C2311yescharacteristic
262C2×C22⋊Dic47—24no—
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×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×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
309C42×D47—42no—
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
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C25×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346#126×C47—24no—
347#120×C47—24no—
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379C24×C47—22no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C24×C47C2411yescharacteristic
389C24×C47C2411yescharacteristic
390C23×D47C2411yescharacteristic
391C23×D47C2411yescharacteristic
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
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
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
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⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47C2×D414yes—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47C2×D414yes—
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C2×D188—22no—
460C2×D188—41no—
461C2×D188—41no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
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—41no—
472C2×C4×D47—41no—
473C2×C4×D47C2×D414yes—
474C2×Dic94—22no—
475C2×Dic94—22no—
476C2×Dic94—22no—
477C2×Dic94—22no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C2×Dic94—41no—
483C2×Dic94—41no—
484C2×Dic94—41no—
485C2×Dic94—41no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
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×C47C2×D414yes—
511C42×C47—22no—
512C42×C47—41no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4C2×D414yes—
550C4⋊Dic47—22no—
551C4⋊Dic47—22no—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4C2×D414yes—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47C2×D414yes—
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×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×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—44no—
609C23×C47—82no—
610C23×C47—82no—
611C23×C47—82no—
612C23×C47—82no—
613C23×C47—82no—
614C23×C47—82no—
615C23×C47C22×D412yes—
616C23×C47C2511yescharacteristic
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47C22×D412yes—
631D4×C47—44no—
632D4×C47—82no—
633D4×C47—82no—
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—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×C47C22×D412yes—
666C2×C4×C47C22×D412yes—
667C22⋊D47—44no—
668C22⋊D47—82no—
669C22⋊D47—82no—
670C22⋊D47—82no—
671C22⋊D47—82no—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C22⋊D47—82no—
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—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—44no—
714C2×Dic47—82no—
715C2×Dic47—82no—
716C2×Dic47C22×D412yes—
717C2×Dic47C22×D412yes—
718C2×Dic47C22×D412yes—
719C2×Dic47H(5,𝔽2)12yes—
720D188—82no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725Dic94—44no—
726Dic94—82no—
727Dic94—82no—
728Dic94—82no—
729#36745—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
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—88no—
759C22×C47C23×D411yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C22×C47#58511yescharacteristic
762C22×C47#58511yescharacteristic
763C22×C47#58511yescharacteristic
764C22×C47#58511yescharacteristic
765C22×C47#58511yescharacteristic
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C4×C47—22no—
781C4×C47—22no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791Dic47—22no—
792Dic47—22no—
793Dic47—22no—
794Dic47—22no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805C2×#542—471no—
806C2×#538—471no—
807#2854—471no—
808#2850—471no—
809#2723—471no—
810#2716—471no—
811#2715—471no—
812#2712—471no—
813#2700—471no—
814#2698—471no—
815#2696—471no—
816#2691—471no—
817#2688—471no—
818#2686—471no—
819#2685D4711yescharacteristic, complemented
820#2684—471no—
821#2676—471no—
822#2674—471no—
823#2670—471no—
824#2668—471no—
825#2663—471no—
826#2661—471no—
827#2610—471no—
828#2604—471no—
829#2602—471no—
830#2601—471no—
831#2592—471no—
832#2561—471no—
833#2415—471no—
834#2411—471no—
835#2290—471no—
836C2×C47—42no—
837C2×C47—81no—
838C2×C47—81no—
839C2×C47—81no—
840C2×C47#344911yescharacteristic
841C2×C47#349611yescharacteristic
842C2×C47#350011yescharacteristic
843C2×C47#353311yescharacteristic
844C2×C47#354011yescharacteristic
845C2×C47#356611yescharacteristic
846C2×C47#356811yescharacteristic
847D47—42no—
848D47—81no—
849#542—948no—
850#538—948no—
851C2×C4⋊Q8—471no—
852C2×#126—471no—
853C2×#126—471no—
854C2×#126—471no—
855C2×#126C2×D4711yescharacteristic
856C2×#124—471no—
857C2×#124—471no—
858C2×#124—471no—
859C2×#124—471no—
860C2×#124—471no—
861C2×#124—471no—
862C2×#123—471no—
863C2×#123—471no—
864C2×#123—471no—
865C2×#123—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—471no—
871C2×#121—471no—
872C2×#121—471no—
873C2×#121—471no—
874C2×#121—471no—
875C2×#121—471no—
876C2×#120—471no—
877C2×#120—471no—
878C2×#120C2×D4711yescharacteristic
879C2×C4×Q8—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×#117—471no—
883C2×#117—471no—
884C22×C22⋊C4—471no—
885C22×C42—471no—
886#400—471no—
887#400—471no—
888#399—471no—
889#399C2×D4711yescharacteristic
890#398—471no—
891#398—471no—
892#397—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397—471no—
902#396—471no—
903#396—471no—
904#396—471no—
905#396C2×D4711yescharacteristic
906#395—471no—
907#395—471no—
908#395—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394—471no—
916#394—471no—
917#394—471no—
918#394C2×D4711yescharacteristic
919#394C2×D4711yescharacteristic
920#394C2×D4711yescharacteristic
921#394C2×D4711yescharacteristic
922#393—471no—
923#393—471no—
924#393—471no—
925#393—471no—
926#393—471no—
927#393—471no—
928#393—471no—
929#392—471no—
930#392—471no—
931#392—471no—
932#392—471no—
933#392—471no—
934#391—471no—
935#391—471no—
936#391—471no—
937#391—471no—
938#390—471no—
939#390—471no—
940#390—471no—
941#390—471no—
942#390—471no—
943#390C2×D4711yescharacteristic
944#390C2×D4711yescharacteristic
945#389—471no—
946#389—471no—
947#389—471no—
948#389—471no—
949#389—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388C2×D4711yescharacteristic
968#388C2×D4711yescharacteristic
969#388C2×D4711yescharacteristic
970#387—471no—
971#387—471no—
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#386—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#385—471no—
990#385—471no—
991#385—471no—
992#385—471no—
993#385—471no—
994#382—471no—
995#381—471no—
996#381—471no—
997#380—471no—
998#380—471no—
999#379—471no—
1000#379C2×D4711yescharacteristic
1001#379C2×D4711yescharacteristic
1002C4×C4⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005#376—471no—
1006C47#3674511yescharacteristic, complemented, Sylow
1007C25C22×D4711yescharacteristic
1008C22×Q8—471no—
1009C22×Q8—471no—
1010C22×Q8—471no—
1011C22×Q8—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4C22×D4711yescharacteristic
1022C22×D4C22×D4711yescharacteristic
1023C22×D4C22×D4711yescharacteristic
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C4⋊Q8—944no—
1032#126—24no—
1033#126—944no—
1034#126—944no—
1035#126—944no—
1036#124—944no—
1037#124—944no—
1038#124—944no—
1039#124—944no—
1040#124—944no—
1041#124—1882no—
1042#123—944no—
1043#123—944no—
1044#123—944no—
1045#123—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—1882no—
1051#121—944no—
1052#121—944no—
1053#121—944no—
1054#121—944no—
1055#121—1882no—
1056#120—24no—
1057#120—944no—
1058#120—1882no—
1059C4×Q8—944no—
1060C4×D4—478no—
1061C4×D4—944no—
1062#117—944no—
1063#117—1882no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C4⋊C4C22×D4711yescharacteristic
1091C2×C4⋊C4C22×D4711yescharacteristic
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—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—944no—
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
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×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
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—1882no—
1159C2×C42C22×D4711yescharacteristic
1160C2×C42C22×D4711yescharacteristic
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#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#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—471no—
1205C24—471no—
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C24C23×D4711yescharacteristic
1209C24C23×D4711yescharacteristic
1210C2×Q8—942no—
1211C2×Q8—942no—
1212C2×Q8—942no—
1213C2×Q8—942no—
1214C2×Q8—1881no—
1215C2×Q8—1881no—
1216C2×Q8—1881no—
1217C2×Q8—1881no—
1218C2×Q8—1881no—
1219C2×Q8—1881no—
1220C2×Q8—1881no—
1221C2×Q8—1881no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—474no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
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×D4—1881no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—474no—
1263C22×C4—474no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—474no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—474no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
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⋊C4D4×D4714yes—
1388C42—22no—
1389C42—41no—
1390C42—474no—
1391C42—942no—
1392C42—942no—
1393C42—942no—
1394C42—942no—
1395C42—942no—
1396C42—1881no—
1397C42—1881no—
1398C42—1881no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—44no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—472no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23C2×D4×D4712yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450Q8—3762no—
1451Q8—3762no—
1452Q8—1884no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—3762no—
1457D4—3762no—
1458D4—3762no—
1459D4—3762no—
1460D4—3762no—
1461D4—3762no—
1462D4—3762no—
1463D4—3762no—
1464D4—1884no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
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—472no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
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—3762no—
1539C2×C4—3762no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4—1884no—
1545C2×C4C2×D4×D4712yes—
1546C2×C4C2×D4×D4712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22C22×D4×D4711yescharacteristic
1591C22H(5,𝔽2)×D4711yescharacteristic
1592C22#1568995811yescharacteristic
1593C22#1568995811yescharacteristic
1594C22#1568995811yescharacteristic
1595C22#1568995911yescharacteristic
1596C22#1568995911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—942no—
1609C4—942no—
1610C4—942no—
1611C4—942no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2—3761no—
1627C2—1882no—
1628C2#2025671911yescharacteristic
1629C2#2025714811yescharacteristic
1630C2#2025717411yescharacteristic
1631C2#2025755711yescharacteristic
1632C2#2025765911yescharacteristic
1633C2#2025804311yescharacteristic
1634C2#2025807911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2685C2
hypercenter#2685D47
hypocenterC47#36745
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#15689739C2semidirect
2. C2×#15689708C2semidirect
3. #20251715C2semidirect
4. #20251688C2semidirect
5. #20250300C2semidirect
6. #20250211C2semidirect
7. #20250205C2semidirect
8. #20250160C2semidirect
9. #20249984C2semidirect
10. #20249956C2semidirect
11. #20249933C2semidirect
12. #20249874C2semidirect
13. #20249826C2semidirect
14. #20249800C2semidirect
15. #20249768C2semidirect
16. #20249686C2semidirect
17. #20249671C2semidirect
18. #20249610C2semidirect
19. #20249596C2semidirect
20. #20249541C2semidirect
21. #20249523C2semidirect
22. #20249078C2semidirect
23. #20249023C2semidirect
24. #20249001C2semidirect
25. #20248988C2semidirect
26. #20248873C2semidirect
27. #20248543C2semidirect
28. #20246810C2semidirect
29. #20246775C2semidirect
30. #20245830C2semidirect
31. C47×#2685C2semidirect
34. C2×#13094023C22semidirect
35. C2×#13094019C22semidirect
38. C2×#13094012C22semidirect
44. C2×#13094009C22semidirect
48. C2×#13094004C22semidirect
49. C2×#13094002C22semidirect
52. C2×#13094001C22semidirect
60. C2×C4×Dic94C22semidirect
63. C2×#13093982C22semidirect
66. C2×C42×D47C22semidirect
67. #15689064C22semidirect
68. #15689061C22semidirect
70. #15689056C22semidirect
71. #15689053C22semidirect
77. #15689051C22semidirect
78. #15689050C22semidirect
79. #15689049C22semidirect
80. #15689049C22semidirect
84. #15689045C22semidirect
85. #15689044C22semidirect
86. #15689043C22semidirect
87. #15689043C22semidirect
95. #15689038C22semidirect
97. #15689036C22semidirect
103. #15689035C22semidirect
105. #15689032C22semidirect
109. #15689029C22semidirect
110. #15689029C22semidirect
111. #15689028C22semidirect
112. #15689027C22semidirect
117. #15689023C22semidirect
118. #15689022C22semidirect
119. #15689022C22semidirect
120. #15689020C22semidirect
121. #15689018C22semidirect
122. #15689018C22semidirect
124. #15689017C22semidirect
131. #15689016C22semidirect
132. #15689016C22semidirect
133. #15689015C22semidirect
134. #15689014C22semidirect
135. #15689013C22semidirect
139. #15689011C22semidirect
140. #15689010C22semidirect
141. #15689008C22semidirect
142. #15689007C22semidirect
143. #15689007C22semidirect
144. #15689005C22semidirect
145. #15689005C22semidirect
146. #15689001C22semidirect
148. #15689000C22semidirect
156. #15688999C22semidirect
157. #15688999C22semidirect
158. #15688999C22semidirect
159. #15688998C22semidirect
160. #15688997C22semidirect
162. #15688994C22semidirect
163. #15688994C22semidirect
164. #15688988C22semidirect
167. #15688982C22semidirect
168. #15688981C22semidirect
170. C4⋊C4×Dic47C22semidirect
172. #15688970C22semidirect
173. #15688968C22semidirect
237. (C22⋊D47)⋊C4D4semidirect
819. #2685D47semidirect
1006. C47#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#156897392
C2×#156897082
#202517152
#202516882
#202503002
#202502112
#202502052
#202501602
#202499842
#202499562
#202499332
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C47×#26852
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