Finite Group Databasebeta

← #26423320

Subgroups — #26423320

Order 12032.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689714C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251674C211yesmaximal, characteristic, complemented
5#20250088C211yesmaximal, characteristic, complemented
6#20250069C211yesmaximal, characteristic, complemented
7#20250043C211yesmaximal, characteristic, complemented
8#20250024C211yesmaximal, characteristic, complemented
9#20249998C211yesmaximal, characteristic, complemented
10#20249955C211yesmaximal, characteristic, complemented
11#20249948C211yesmaximal, characteristic, complemented
12#20249778C211yesmaximal, characteristic, complemented
13#20249760C211yesmaximal, characteristic, complemented
14#20249751C211yesmaximal, characteristic, complemented
15#20249739C211yesmaximal, characteristic, complemented
16#20249737C211yesmaximal, characteristic, complemented
17#20249729C211yesmaximal, characteristic, complemented
18#20249724C211yesmaximal, characteristic, complemented
19#20249710C211yesmaximal, characteristic, complemented
20#20249706C211yesmaximal, characteristic, complemented
21#20249309C211yesmaximal, characteristic, complemented
22#20249231C211yesmaximal, characteristic, complemented
23#20249080C211yesmaximal, characteristic, complemented
24#20248987C211yesmaximal, characteristic, complemented
25#20248972C211yesmaximal, characteristic, complemented
26#20248733C211yesmaximal, characteristic, complemented
27#20248584C211yesmaximal, characteristic, complemented
28#20246730C211yesmaximal, characteristic, complemented
29#20246721C211yesmaximal, characteristic, complemented
30#20246032C211yesmaximal, characteristic, complemented
31C47×#2603C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689714—28no—
35C2×#13094019C2211yescharacteristic
36C2×#13094016C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38#15689632—28no—
39C2×#13094009C2211yescharacteristic
40C2×#13094009C2211yescharacteristic
41C2×#13094009C2211yescharacteristic
42C2×#13094008C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic, complemented
47C2×#13094006C2211yescharacteristic, complemented
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094001C2211yescharacteristic, complemented
55C2×#13094001C2211yescharacteristic, complemented
56C2×#13093997C2211yescharacteristic
57C2×#13093997C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×C4×D188C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
67C2×#13093981C2211yescharacteristic
68C2×C4⋊C4×D47C2211yescharacteristic, complemented
69#15689063C2211yescharacteristic, complemented
70#15689060C2211yescharacteristic
71#15689057C2211yescharacteristic, complemented
72#15689057C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689056C2211yescharacteristic, complemented
75#15689055C2211yescharacteristic, complemented
76#15689054C2211yescharacteristic, complemented
77#15689052C2211yescharacteristic
78#15689052C2211yescharacteristic
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689050C2211yescharacteristic
82#15689049C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689046C2211yescharacteristic, complemented
88#15689046C2211yescharacteristic, complemented
89#15689046C2211yescharacteristic, complemented
90#15689046C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689045C2211yescharacteristic
93#15689044C2211yescharacteristic, complemented
94#15689043C2211yescharacteristic, complemented
95#15689043C2211yescharacteristic, complemented
96#15689041C2211yescharacteristic
97#15689039C2211yescharacteristic
98#15689039C2211yescharacteristic
99#15689039C2211yescharacteristic
100#15689039C2211yescharacteristic
101#15689039C2211yescharacteristic, complemented
102#15689039C2211yescharacteristic, complemented
103#15689038C2211yescharacteristic
104#15689038C2211yescharacteristic
105#15689038C2211yescharacteristic
106#15689038C2211yescharacteristic
107#15689037C2211yescharacteristic, complemented
108#15689035C2211yescharacteristic, complemented
109#15689032C2211yescharacteristic
110#15689031C2211yescharacteristic
111#15689031C2211yescharacteristic
112#15689031C2211yescharacteristic, complemented
113#15689027C2211yescharacteristic, complemented
114#15689026C2211yescharacteristic
115#15689026C2211yescharacteristic
116#15689025C2211yescharacteristic
117#15689025C2211yescharacteristic
118#15689023C2211yescharacteristic
119#15689023C2211yescharacteristic
120#15689021C2211yescharacteristic, complemented
121#15689021C2211yescharacteristic, complemented
122#15689021C2211yescharacteristic, complemented
123#15689021C2211yescharacteristic, complemented
124#15689018C2211yescharacteristic, complemented
125#15689017C2211yescharacteristic, complemented
126#15689016C2211yescharacteristic
127#15689014C2211yescharacteristic
128#15689014C2211yescharacteristic
129#15689013C2211yescharacteristic
130#15689012C2211yescharacteristic
131#15689012C2211yescharacteristic
132#15689012C2211yescharacteristic, complemented
133#15689012C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689008C2211yescharacteristic, complemented
136#15689008C2211yescharacteristic, complemented
137#15689005C2211yescharacteristic, complemented
138#15689004C2211yescharacteristic, complemented
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic, complemented
147#15688998C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688997C2211yescharacteristic
152#15688997C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic
154#15688996C2211yescharacteristic
155#15688996C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic, complemented
161#15688992C2211yescharacteristic, complemented
162#15688988C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic
164#15688985C2211yescharacteristic
165#15688985C2211yescharacteristic, complemented
166#15688982C2211yescharacteristic
167#15688982C2211yescharacteristic
168#15688982C2211yescharacteristic, complemented
169#15688981C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172#15688978C2211yescharacteristic
173C4×C4⋊Dic47C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#390C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic
187C47×#385C2211yescharacteristic, complemented
188C47×#376C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47—24no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094019—24no—
217#13094016—24no—
218#13094015—24no—
219#13094009—24no—
220#13094009—24no—
221#13094009—42no—
222#13094008—24no—
223#13094006—24no—
224#13094006—24no—
225#13094006—24no—
226#13094006—42no—
227#13094006—42no—
228#13094004—24no—
229#13094002—24no—
230#13094002—24no—
231#13094002—42no—
232#13094001—24no—
233#13094001—24no—
234#13094001—42no—
235#13094001—42no—
236#13093997—24no—
237#13093997—24no—
238#13093996—24no—
239#13093996—42no—
240#13093994—24no—
241#13093992—24no—
242#13093992—42no—
243C4×D188D418yescomplemented
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246(C22⋊D47)⋊C4—24no—
247#13093981—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C4⋊C4×D47—24no—
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
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
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353#126×C47—24no—
354C4×D4×C47—24no—
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465#10625350—416no—
466C2×D188—22no—
467C2×D188—22no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188C2×D414yes—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
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—416no—
482C2×C4×D47—41no—
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×D47C2×D414yes—
493C2×C4×D47C2×D414yes—
494C2×Dic94—22no—
495C2×Dic94—22no—
496C2×Dic94—22no—
497C2×Dic94—41no—
498C2×Dic94—41no—
499C2×Dic94—41no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C42×C47—41no—
520C42×C47—41no—
521C42×C47C2×D414yes—
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—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
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—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4C2×D414yes—
560(C2×D47)⋊C4C2×D414yes—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569C4⋊Dic47—41no—
570C4⋊Dic47—41no—
571C4⋊Dic47C2×D414yes—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—41no—
596C4×Dic47—41no—
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—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C472−1+412yes—
618C23×C47C2511yescharacteristic
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×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47C22×D412yes—
645C22×D47C22×D412yes—
646C22×D47H(5,𝔽2)12yes—
647D4×C47—44no—
648D4×C47—82no—
649D4×C47—82no—
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—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47C22×D412yes—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C22×D412yes—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—82no—
694C22⋊D47—82no—
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—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—44no—
732C2×Dic47—82no—
733C2×Dic47C22×D412yes—
734C2×Dic47C22×D412yes—
735C2×Dic47H(5,𝔽2)12yes—
736D188—44no—
737D188—44no—
738C4×D47—28no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—82no—
745Dic94—44no—
746Dic94—82no—
747#36723—471nomaximal, Sylow
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
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×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47C23×D411yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×2−1+411yescharacteristic
773C22×C47#58511yescharacteristic
774C22×C47#58511yescharacteristic
775C22×C47#58511yescharacteristic
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—22no—
785C2×D47—416no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823C2×#539—471no—
824C2×#525—471no—
825#2849—471no—
826#2848—471no—
827#2707—471no—
828#2706—471no—
829#2704—471no—
830#2703—471no—
831#2701—471no—
832#2698—471no—
833#2697—471no—
834#2685—471no—
835#2683—471no—
836#2682—471no—
837#2681—471no—
838#2681—471no—
839#2680—471no—
840#2680—471no—
841#2678—471no—
842#2678—471no—
843#2638—471no—
844#2630—471no—
845#2611—471no—
846#2603D4711yescharacteristic, complemented
847#2601—471no—
848#2600—471no—
849#2579—471no—
850#2566—471no—
851#2407—471no—
852#2406—471no—
853#2319—471no—
854C2×C47—42no—
855C2×C47—81no—
856C2×C47—81no—
857C2×C47#344911yescharacteristic
858C2×C47#348411yescharacteristic
859C2×C47#348911yescharacteristic
860C2×C47#353311yescharacteristic
861C2×C47#353511yescharacteristic
862C2×C47#353911yescharacteristic
863C2×C47#354111yescharacteristic
864D47—42no—
865D47—42no—
866D47—42no—
867C22×#41—471no—
868C24×C4—471no—
869#539—948no—
870C2×#126—471no—
871C2×#126C2×D4711yescharacteristic, complemented
872C2×#125—471no—
873C2×#125—471no—
874#525—948no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8—471no—
890C2×C22⋊Q8—471no—
891C2×C22⋊Q8—471no—
892C2×#121—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#120—471no—
897C2×#120—471no—
898C2×#120—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C2×C4×D4—471no—
903C2×C4×D4C2×D4711yescharacteristic
904C2×#117—471no—
905C22×C4⋊C4—471no—
906#400—471no—
907#399—471no—
908#398—471no—
909#398—471no—
910#398—471no—
911#398—471no—
912#398—471no—
913#398—471no—
914#398C2×D4711yescharacteristic, complemented
915#397—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#397—471no—
921#397C2×D4711yescharacteristic, complemented
922#396—471no—
923#396—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#396—471no—
929#396—471no—
930#396—471no—
931#396—471no—
932#395—471no—
933#395—471no—
934#395—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394—471no—
945#394—471no—
946#394—471no—
947#394C2×D4711yescharacteristic
948#393—471no—
949#392—471no—
950#392—471no—
951#392—471no—
952#392—471no—
953#392C2×D4711yescharacteristic
954#391—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390C2×D4711yescharacteristic
962#390C2×D4711yescharacteristic, complemented
963#389—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388C2×D4711yescharacteristic
979#388C2×D4711yescharacteristic, complemented
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386C2×D4711yescharacteristic
993#386C2×D4711yescharacteristic, complemented
994#385—471no—
995#385—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385C2×D4711yescharacteristic
1009#385C2×D4711yescharacteristic, complemented
1010#384—471no—
1011#382—471no—
1012#381—471no—
1013#381—471no—
1014#381—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#379—471no—
1020#379—471no—
1021#379—471no—
1022C4×C4⋊C4—471no—
1023#376C2×D4711yescharacteristic, complemented
1024C47#3672311yescharacteristic, complemented, Sylow
1025C25—471no—
1026C2×#41—944no—
1027C2×#41—1882no—
1028C2×#41—1882no—
1029C22×Q8—471no—
1030C22×Q8—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4C22×D4711yescharacteristic
1041C22×D4C22×D4711yescharacteristic
1042C22×D4C22×D4711yescharacteristic
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—944no—
1053C23×C4—1882no—
1054C23×C4—1882no—
1055C23×C4C22×D4711yescharacteristic
1056C23×C4C22×D4711yescharacteristic
1057#126—24no—
1058#126—944no—
1059#125—944no—
1060#125—944no—
1061#123—944no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065#123—944no—
1066#123—944no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—944no—
1071C22⋊Q8—944no—
1072C22⋊Q8—944no—
1073C22⋊Q8—944no—
1074C22⋊Q8—944no—
1075C22⋊Q8—1882no—
1076C22⋊Q8—1882no—
1077C22⋊Q8—1882no—
1078#121—944no—
1079#121—944no—
1080#121—944no—
1081#121—1882no—
1082#120—944no—
1083#120—944no—
1084#120—1882no—
1085C4×D4—24no—
1086C4×D4—478no—
1087C4×D4—944no—
1088C4×D4—944no—
1089C4×D4—944no—
1090#117—944no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—944no—
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42C22×D4711yescharacteristic
1187C2×C42C22×D4711yescharacteristic
1188C2×C42C22×D4711yescharacteristic
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221C24—471no—
1222C24—471no—
1223C24—471no—
1224C24—942no—
1225C24—942no—
1226C24—942no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24—1881no—
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C24C23×D4711yescharacteristic
1234#41—18816no—
1235C2×Q8—942no—
1236C2×Q8—942no—
1237C2×Q8—942no—
1238C2×Q8—1881no—
1239C2×Q8—1881no—
1240C2×Q8—1881no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—474no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—474no—
1287C22×C4—474no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—18816no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—474no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C4⋊C4—1881no—
1363C4⋊C4—1881no—
1364C4⋊C4—1881no—
1365C4⋊C4—1881no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—474no—
1388C22⋊C4—474no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C42—41no—
1427C42—41no—
1428C42—942no—
1429C42—942no—
1430C42—1881no—
1431C42—1881no—
1432C42D4×D4714yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—472no—
1454C23—472no—
1455C23—472no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—1884no—
1475C23—1884no—
1476C23—1884no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23—1884no—
1481C23#1309407112yes—
1482C23C24×D4711yescharacteristic
1483Q8—3762no—
1484Q8—1884no—
1485D4—44no—
1486D4—82no—
1487D4—82no—
1488D4—3762no—
1489D4—3762no—
1490D4—1884no—
1491D4—1884no—
1492D4—1884no—
1493D4—1884no—
1494D4—1884no—
1495D4—1884no—
1496D4—1884no—
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—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—472no—
1533C2×C4—472no—
1534C2×C4—472no—
1535C2×C4—948no—
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—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—3762no—
1573C2×C4—3762no—
1574C2×C4—1884no—
1575C2×C4—1884no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4C2×D4×D4712yes—
1581C2×C4C2×D4×D4712yes—
1582C2×C4C2×D4×D4712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—18816no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22C22×D4×D4711yescharacteristic
1627C22H(5,𝔽2)×D4711yescharacteristic
1628C22H(5,𝔽2)×D4711yescharacteristic
1629C22C2×#1309407111yescharacteristic
1630C22#1568995911yescharacteristic
1631C22#1568995911yescharacteristic
1632C22#1568995911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—942no—
1646C4—942no—
1647C4—942no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—1882no—
1662C2—1882no—
1663C2—1882no—
1664C2#2025671511yescharacteristic
1665C2#2025702211yescharacteristic
1666C2#2025706011yescharacteristic
1667C2#2025755311yescharacteristic
1668C2#2025758411yescharacteristic
1669C2#2025763811yescharacteristic
1670C2#2025766611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2603C2
hypercenter#2603D47
hypocenterC47#36723
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2603

Complements

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

NH ≅ G/Ntype
1. C2×#15689714C2semidirect
2. C2×#15689632C2semidirect
3. #20251679C2semidirect
4. #20251674C2semidirect
5. #20250088C2semidirect
6. #20250069C2semidirect
7. #20250043C2semidirect
8. #20250024C2semidirect
9. #20249998C2semidirect
10. #20249955C2semidirect
11. #20249948C2semidirect
12. #20249778C2semidirect
13. #20249760C2semidirect
14. #20249751C2semidirect
15. #20249739C2semidirect
16. #20249737C2semidirect
17. #20249729C2semidirect
18. #20249724C2semidirect
19. #20249710C2semidirect
20. #20249706C2semidirect
21. #20249309C2semidirect
22. #20249231C2semidirect
23. #20249080C2semidirect
24. #20248987C2semidirect
25. #20248972C2semidirect
26. #20248733C2semidirect
27. #20248584C2semidirect
28. #20246730C2semidirect
29. #20246721C2semidirect
30. #20246032C2semidirect
31. C47×#2603C2semidirect
36. C2×#13094016C22semidirect
37. C2×#13094015C22semidirect
46. C2×#13094006C22semidirect
47. C2×#13094006C22semidirect
48. C2×#13094004C22semidirect
54. C2×#13094001C22semidirect
55. C2×#13094001C22semidirect
66. C2×(C22⋊D47)⋊C4C22semidirect
68. C2×C4⋊C4×D47C22semidirect
69. #15689063C22semidirect
71. #15689057C22semidirect
72. #15689057C22semidirect
73. #15689057C22semidirect
74. #15689056C22semidirect
75. #15689055C22semidirect
76. #15689054C22semidirect
79. #15689052C22semidirect
80. #15689051C22semidirect
87. #15689046C22semidirect
88. #15689046C22semidirect
89. #15689046C22semidirect
90. #15689046C22semidirect
91. #15689046C22semidirect
93. #15689044C22semidirect
94. #15689043C22semidirect
95. #15689043C22semidirect
101. #15689039C22semidirect
102. #15689039C22semidirect
107. #15689037C22semidirect
108. #15689035C22semidirect
112. #15689031C22semidirect
113. #15689027C22semidirect
120. #15689021C22semidirect
121. #15689021C22semidirect
122. #15689021C22semidirect
123. #15689021C22semidirect
124. #15689018C22semidirect
125. #15689017C22semidirect
132. #15689012C22semidirect
133. #15689012C22semidirect
134. #15689011C22semidirect
135. #15689008C22semidirect
136. #15689008C22semidirect
137. #15689005C22semidirect
138. #15689004C22semidirect
146. #15688999C22semidirect
152. #15688997C22semidirect
155. #15688996C22semidirect
156. #15688996C22semidirect
157. #15688995C22semidirect
160. #15688994C22semidirect
161. #15688992C22semidirect
162. #15688988C22semidirect
165. #15688985C22semidirect
168. #15688982C22semidirect
173. C4×C4⋊Dic47C22semidirect
174. C2×#126×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#397C22semidirect
181. C47×#390C22semidirect
183. C47×#388C22semidirect
185. C47×#386C22semidirect
187. C47×#385C22semidirect
188. C47×#376C22semidirect
243. C4×D188D4semidirect
846. #2603D47semidirect
871. C2×#126C2×D47semidirect
914. #398C2×D47semidirect
921. #397C2×D47semidirect
962. #390C2×D47semidirect
979. #388C2×D47semidirect
993. #386C2×D47semidirect
1009. #385C2×D47semidirect
1023. #376C2×D47semidirect
1024. C47#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#156897142
C2×#156896322
#202516792
#202516742
#202500882
#202500692
#202500432
#202500242
#202499982
#202499552
#202499482
#202497782
#202497602
#202497512
#202497392
#202497372
#202497292
#202497242
#202497102
#202497062
#202493092
#202492312
#202490802
#202489872
#202489722
#202487332
#202485842
#202467302
#202467212
#202460322
C47×#26032
#3672347