Finite Group Databasebeta

← #26423226

Subgroups — #26423226

Order 12032.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689707C211yesmaximal, characteristic
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3#20251681C211yesmaximal, characteristic, complemented
4#20251679C211yesmaximal, characteristic, complemented
5#20249985C211yesmaximal, characteristic, complemented
6#20249983C211yesmaximal, characteristic, complemented
7#20249980C211yesmaximal, characteristic, complemented
8#20249965C211yesmaximal, characteristic, complemented
9#20249964C211yesmaximal, characteristic, complemented
10#20249963C211yesmaximal, characteristic, complemented
11#20249962C211yesmaximal, characteristic, complemented
12#20249747C211yesmaximal, characteristic, complemented
13#20249746C211yesmaximal, characteristic, complemented
14#20249745C211yesmaximal, characteristic, complemented
15#20249744C211yesmaximal, characteristic, complemented
16#20249727C211yesmaximal, characteristic, complemented
17#20249726C211yesmaximal, characteristic, complemented
18#20249726C211yesmaximal, characteristic, complemented
19#20249724C211yesmaximal, characteristic, complemented
20#20249162C211yesmaximal, characteristic, complemented
21#20249160C211yesmaximal, characteristic, complemented
22#20248866C211yesmaximal, characteristic, complemented
23#20248764C211yesmaximal, characteristic, complemented
24#20248739C211yesmaximal, characteristic, complemented
25#20248730C211yesmaximal, characteristic, complemented
26#20247875C211yesmaximal, characteristic, complemented
27#20247865C211yesmaximal, characteristic, complemented
28#20246751C211yesmaximal, characteristic, complemented
29#20246746C211yesmaximal, characteristic, complemented
30#20245982C211yesmaximal, characteristic, complemented
31C47×#2700C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689707—28no—
35C2×#13094018C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094013C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094004C2211yescharacteristic
45C2×#13094004C2211yescharacteristic, complemented
46C2×#13094003C2211yescharacteristic
47C2×#13094002C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094001C2211yescharacteristic
50C2×#13094001C2211yescharacteristic
51C2×#13094001C2211yescharacteristic, complemented
52C2×#13094001C2211yescharacteristic, complemented
53C2×#13094000C2211yescharacteristic
54C2×#13094000C2211yescharacteristic
55C2×#13094000C2211yescharacteristic, complemented
56C22⋊Q8×D47—28no—
57C2×#13093997C2211yescharacteristic
58C2×#13093997C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×C4×D188C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689064C2211yescharacteristic, complemented
71#15689057C2211yescharacteristic, complemented
72#15689057C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689057C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689053C2211yescharacteristic, complemented
80#15689053C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic
82#15689052C2211yescharacteristic
83#15689051C2211yescharacteristic
84#15689051C2211yescharacteristic
85#15689050C2211yescharacteristic
86#15689050C2211yescharacteristic, complemented
87#15689049C2211yescharacteristic
88#15689049C2211yescharacteristic, complemented
89#15689048C2211yescharacteristic
90#15689048C2211yescharacteristic, complemented
91#15689047C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689045C2211yescharacteristic, complemented
94#15689044C2211yescharacteristic, complemented
95#15689044C2211yescharacteristic, complemented
96#15689044C2211yescharacteristic, complemented
97#15689042C2211yescharacteristic, complemented
98#15689042C2211yescharacteristic, complemented
99#15689041C2211yescharacteristic
100#15689040C2211yescharacteristic
101#15689039C2211yescharacteristic
102#15689039C2211yescharacteristic
103#15689039C2211yescharacteristic, complemented
104#15689038C2211yescharacteristic
105#15689038C2211yescharacteristic
106#15689038C2211yescharacteristic, complemented
107#15689037C2211yescharacteristic
108#15689036C2211yescharacteristic, complemented
109#15689036C2211yescharacteristic, complemented
110#15689035C2211yescharacteristic, complemented
111#15689030C2211yescharacteristic, complemented
112#15689029C2211yescharacteristic, complemented
113#15689027C2211yescharacteristic, complemented
114#15689027C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689020C2211yescharacteristic, complemented
118#15689020C2211yescharacteristic, complemented
119#15689019C2211yescharacteristic, complemented
120#15689019C2211yescharacteristic, complemented
121#15689017C2211yescharacteristic
122#15689017C2211yescharacteristic, complemented
123#15689016C2211yescharacteristic
124#15689015C2211yescharacteristic
125#15689014C2211yescharacteristic
126#15689014C2211yescharacteristic, complemented
127#15689013C2211yescharacteristic
128#15689013C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic
130#15689011C2211yescharacteristic
131#15689009C2211yescharacteristic, complemented
132#15689007C2211yescharacteristic, complemented
133#15689005C2211yescharacteristic, complemented
134#15689003C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688998C2211yescharacteristic
146#15688998C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688997C2211yescharacteristic
152#15688997C2211yescharacteristic
153#15688997C2211yescharacteristic
154#15688997C2211yescharacteristic
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic
157#15688995C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic, complemented
161#15688993C2211yescharacteristic, complemented
162#15688992C2211yescharacteristic, complemented
163#15688987C2211yescharacteristic, complemented
164#15688987C2211yescharacteristic, complemented
165#15688985C2211yescharacteristic
166#15688985C2211yescharacteristic
167#15688984C2211yescharacteristic
168#15688982C2211yescharacteristic
169#15688980C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172C4×(C2×D47)⋊C4C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×#124×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#395C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic
181C47×#393C2211yescharacteristic, complemented
182C47×#391C2211yescharacteristic, complemented
183C47×#391C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic
185C47×#388C2211yescharacteristic, complemented
186C47×#387C2211yescharacteristic, complemented
187C47×#386C2211yescharacteristic
188C47×#381C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C2×Q8×D47—24no—
194C2×Q8×D47—42no—
195C2×Q8×D47—42no—
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094018—24no—
217#13094017—24no—
218#13094013—24no—
219#13094008—24no—
220#13094008—42no—
221#13094007—42no—
222#13094006—24no—
223#13094006—42no—
224#13094006—42no—
225#13094004—24no—
226#13094004—42no—
227#13094003—24no—
228#13094002—24no—
229#13094002—24no—
230#13094001—24no—
231#13094001—24no—
232#13094001—42no—
233#13094001—42no—
234#13094000—24no—
235#13094000—24no—
236#13094000—42no—
237#13093997—24no—
238#13093997—24no—
239#13093996—24no—
240#13093994—24no—
241#13093992—24no—
242C4×D188—24no—
243(C22⋊D47)⋊C4—24no—
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
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
276C4⋊C4×D47—24no—
277C4⋊C4×D47—24no—
278C4⋊C4×D47—24no—
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
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×(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
314C22⋊C4×D47—24no—
315C22⋊C4×D47D418yes—
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
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
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×Q8×C47C2311yescharacteristic
349C22×Q8×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#124×C47—24no—
353C22⋊Q8×C47—24no—
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊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×C42×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×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
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47C2×D414yes—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×Q8×C47—22no—
398C2×Q8×C47—22no—
399C2×Q8×C47—22no—
400C2×Q8×C47—41no—
401C2×Q8×C47—41no—
402C2×Q8×C47—41no—
403C2×D4×C47—22no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—41no—
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
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453Q8×D47—416no—
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—41no—
459C2×D188—41no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—416no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47C2×D414yes—
487C2×C4×D47C2×D414yes—
488C2×Dic94—22no—
489C2×Dic94—22no—
490C2×Dic94—22no—
491C2×Dic94—22no—
492C2×Dic94—22no—
493C2×Dic94—22no—
494C2×Dic94—41no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47C2×D414yes—
514C42×C47—22no—
515C42×C47—41no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524C22⋊Dic47C2×D414yes—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
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—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
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—
550(C2×D47)⋊C4C2×D414yes—
551C4⋊Dic47—22no—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562C4⋊Dic47—41no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581Dic47⋊C4—41no—
582Dic47⋊C4—41no—
583C4×Dic47—22no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47—41no—
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×C47C22×D412yes—
601C23×C47C2511yescharacteristic
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—28no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47C22×D412yes—
627C22×D47C22×D412yes—
628C22×D472−1+412yes—
629C22×D472−1+412yes—
630Q8×C47—44no—
631Q8×C47—82no—
632D4×C47—82no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—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—44no—
670C2×C4×C47C22×D412yes—
671C2×C4×C47C22×D412yes—
672C2×C4×C47H(5,𝔽2)12yes—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C22⋊D47—82no—
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×Dic47C22×D412yes—
716C2×Dic47C22×D412yes—
717C2×Dic47H(5,𝔽2)12yes—
718D188—44no—
719D188—82no—
720C4×D47—28no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728C4×D47—82no—
729Dic94—44no—
730Dic94—44no—
731Dic94—44no—
732#36716—471nomaximal, Sylow
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
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×C47C23×D411yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×2−1+411yescharacteristic
751C22×C47C2×2−1+411yescharacteristic
752C22×C47#58511yescharacteristic
753C22×C47#58511yescharacteristic
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—416no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47#53614yes—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—22no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789Dic47—22no—
790Dic47—22no—
791Dic47—22no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802C2×#538—471no—
803C22×C22⋊Q8—471no—
804#2849—471no—
805#2849—471no—
806#2700—471no—
807#2700—471no—
808#2700—471no—
809#2700D4711yescharacteristic, complemented
810#2698—471no—
811#2698—471no—
812#2698—471no—
813#2698—471no—
814#2681—471no—
815#2681—471no—
816#2681—471no—
817#2681—471no—
818#2680—471no—
819#2680—471no—
820#2680—471no—
821#2680—471no—
822#2622—471no—
823#2622—471no—
824#2591—471no—
825#2583—471no—
826#2579—471no—
827#2579—471no—
828#2504—471no—
829#2502—471no—
830#2409—471no—
831#2409—471no—
832#2312—471no—
833C2×C47—42no—
834C2×C47—81no—
835C2×C47C2×#53611yescharacteristic
836C2×C47#348411yescharacteristic
837C2×C47#348511yescharacteristic
838C2×C47#354111yescharacteristic
839C2×C47#354111yescharacteristic
840C2×C47#354111yescharacteristic
841C2×C47#354111yescharacteristic
842D47—24no—
843D47—42no—
844D47—81no—
845C23×Q8—471no—
846C24×C4—471no—
847#538—948no—
848C2×#126—471no—
849C2×#126—471no—
850C2×#124—471no—
851C2×#124C2×D4711yescharacteristic
852C2×#123—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×C22⋊Q8—471no—
865C2×C22⋊Q8—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—948no—
871C2×C22⋊Q8C2×D4711yescharacteristic
872C2×#121—471no—
873C2×#121—471no—
874C2×#121—471no—
875C2×#120—471no—
876C2×#120—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C22×C4⋊C4—471no—
880C22×C4⋊C4—471no—
881C22×C4⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4—471no—
884#400—471no—
885#400—471no—
886#398—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#398—471no—
894#398—471no—
895#398—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397C2×D4711yescharacteristic
907#397C2×D4711yescharacteristic, complemented
908#396—471no—
909#396—471no—
910#396—471no—
911#396C2×D4711yescharacteristic, complemented
912#395—471no—
913#395—471no—
914#395—471no—
915#395—471no—
916#395—471no—
917#395C2×D4711yescharacteristic, complemented
918#394—471no—
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394C2×D4711yescharacteristic
928#393—471no—
929#393—471no—
930#393—471no—
931#393C2×D4711yescharacteristic, complemented
932#391—471no—
933#391—471no—
934#391—471no—
935#391—471no—
936#391C2×D4711yescharacteristic, complemented
937#391C2×D4711yescharacteristic, complemented
938#390—471no—
939#390—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388C2×D4711yescharacteristic
955#388C2×D4711yescharacteristic, complemented
956#387—471no—
957#387—471no—
958#387—471no—
959#387C2×D4711yescharacteristic, complemented
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386C2×D4711yescharacteristic
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385—471no—
986#385—471no—
987#385—471no—
988#384—471no—
989#384—471no—
990#382—471no—
991#382—471no—
992#381—471no—
993#381—471no—
994#381—471no—
995#381C2×D4711yescharacteristic
996#380—471no—
997#380—471no—
998#379—471no—
999#379—471no—
1000C4×C22⋊C4—471no—
1001C4×C22⋊C4—471no—
1002C47#3671611yescharacteristic, complemented, Sylow
1003C25—471no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×Q8—471no—
1007C22×Q8—944no—
1008C22×Q8—1882no—
1009C22×Q8—1882no—
1010C22×Q8C22×D4711yescharacteristic
1011C22×Q8C22×D4711yescharacteristic
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4C22×D4711yescharacteristic
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—944no—
1031C23×C4—1882no—
1032C23×C4—1882no—
1033C23×C4C22×D4711yescharacteristic
1034#126—944no—
1035#126—944no—
1036#124—24no—
1037#124—944no—
1038#123—944no—
1039#123—944no—
1040#123—1882no—
1041#123—1882no—
1042#123—1882no—
1043#123—1882no—
1044C22⋊Q8—24no—
1045C22⋊Q8—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—944no—
1052C22⋊Q8—944no—
1053C22⋊Q8—1882no—
1054C22⋊Q8—1882no—
1055C22⋊Q8—1882no—
1056C22⋊Q8—1882no—
1057#121—944no—
1058#121—944no—
1059#121—944no—
1060#120—944no—
1061#120—944no—
1062C4×D4—944no—
1063C4×D4—944no—
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⋊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⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—944no—
1097C2×C4⋊C4—944no—
1098C2×C4⋊C4—944no—
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—478no—
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⋊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—944no—
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×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42C22×D4711yescharacteristic
1158C2×C42C22×D4711yescharacteristic
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#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#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199C24—471no—
1200C24—471no—
1201C24—474no—
1202C24—471no—
1203C24—942no—
1204C24—942no—
1205C24—1881no—
1206C24—1881no—
1207C24—1881no—
1208C24—1881no—
1209C24C23×D4711yescharacteristic
1210C24C23×D4711yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—942no—
1218C2×Q8—942no—
1219C2×Q8—942no—
1220C2×Q8—942no—
1221C2×Q8—942no—
1222C2×Q8—942no—
1223C2×Q8—1881no—
1224C2×Q8—1881no—
1225C2×Q8—1881no—
1226C2×Q8—18816no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—474no—
1255C22×C4—474no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
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×C4—1881no—
1294C22×C4—18816no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—1881no—
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C22×C4C23×D4711yescharacteristic
1308C22×C4C23×D4711yescharacteristic
1309C22×C4C23×D4711yescharacteristic
1310C22×C4C23×D4711yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
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⋊C4—1881no—
1348C4⋊C4—1881no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—474no—
1360C22⋊C4—474no—
1361C22⋊C4—474no—
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—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
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⋊C4D4×D4714yes—
1395C42—22no—
1396C42—41no—
1397C42—942no—
1398C42—1881no—
1399C42—1881no—
1400C42—1881no—
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—472no—
1415C23—472no—
1416C23—472no—
1417C23—472no—
1418C23—948no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23C2×D4×D4712yes—
1443C23C24×D4711yescharacteristic
1444Q8—44no—
1445Q8—82no—
1446Q8—1884no—
1447Q8—1884no—
1448Q8—1884no—
1449D4—82no—
1450D4—3762no—
1451D4—3762no—
1452D4—3762no—
1453D4—3762no—
1454D4—1884no—
1455D4—1884no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—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—44no—
1493C2×C4—472no—
1494C2×C4—472no—
1495C2×C4—472no—
1496C2×C4—948no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—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—3762no—
1534C2×C4—3762no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4C2×D4×D4712yes—
1544C2×C4C2×D4×D4712yes—
1545C2×C4#1309407012yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—474no—
1561C22—942no—
1562C22—942no—
1563C22—942no—
1564C22—942no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—18816no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22C22×D4×D4711yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22C2×#1309407011yescharacteristic
1585C222−1+4×D4711yescharacteristic
1586C222−1+4×D4711yescharacteristic
1587C22#1568995811yescharacteristic
1588C22#1568995911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—942no—
1603C4—942no—
1604C4—942no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C2—42no—
1616C2—81no—
1617C2—944no—
1618C2—3761no—
1619C2—1882no—
1620C2#536×D4711yescharacteristic
1621C2#2025701811yescharacteristic
1622C2#2025702511yescharacteristic
1623C2#2025767011yescharacteristic
1624C2#2025767211yescharacteristic
1625C2#2025767711yescharacteristic
1626C2#2025768811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2700C2
prime radicalC2×#15689707C2
hypercenter#2700D47
hypocenterC47#36716
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2700

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D47C2semidirect
3. #20251681C2semidirect
4. #20251679C2semidirect
5. #20249985C2semidirect
6. #20249983C2semidirect
7. #20249980C2semidirect
8. #20249965C2semidirect
9. #20249964C2semidirect
10. #20249963C2semidirect
11. #20249962C2semidirect
12. #20249747C2semidirect
13. #20249746C2semidirect
14. #20249745C2semidirect
15. #20249744C2semidirect
16. #20249727C2semidirect
17. #20249726C2semidirect
18. #20249726C2semidirect
19. #20249724C2semidirect
20. #20249162C2semidirect
21. #20249160C2semidirect
22. #20248866C2semidirect
23. #20248764C2semidirect
24. #20248739C2semidirect
25. #20248730C2semidirect
26. #20247875C2semidirect
27. #20247865C2semidirect
28. #20246751C2semidirect
29. #20246746C2semidirect
30. #20245982C2semidirect
31. C47×#2700C2semidirect
45. C2×#13094004C22semidirect
51. C2×#13094001C22semidirect
52. C2×#13094001C22semidirect
55. C2×#13094000C22semidirect
69. #15689065C22semidirect
70. #15689064C22semidirect
71. #15689057C22semidirect
72. #15689057C22semidirect
73. #15689057C22semidirect
74. #15689057C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689055C22semidirect
78. #15689055C22semidirect
79. #15689053C22semidirect
80. #15689053C22semidirect
86. #15689050C22semidirect
88. #15689049C22semidirect
90. #15689048C22semidirect
91. #15689047C22semidirect
92. #15689046C22semidirect
93. #15689045C22semidirect
94. #15689044C22semidirect
95. #15689044C22semidirect
96. #15689044C22semidirect
97. #15689042C22semidirect
98. #15689042C22semidirect
103. #15689039C22semidirect
106. #15689038C22semidirect
108. #15689036C22semidirect
109. #15689036C22semidirect
110. #15689035C22semidirect
111. #15689030C22semidirect
112. #15689029C22semidirect
113. #15689027C22semidirect
114. #15689027C22semidirect
115. #15689023C22semidirect
116. #15689023C22semidirect
117. #15689020C22semidirect
118. #15689020C22semidirect
119. #15689019C22semidirect
120. #15689019C22semidirect
122. #15689017C22semidirect
126. #15689014C22semidirect
128. #15689013C22semidirect
131. #15689009C22semidirect
132. #15689007C22semidirect
133. #15689005C22semidirect
146. #15688998C22semidirect
155. #15688997C22semidirect
157. #15688995C22semidirect
160. #15688994C22semidirect
161. #15688993C22semidirect
162. #15688992C22semidirect
163. #15688987C22semidirect
164. #15688987C22semidirect
177. C47×#397C22semidirect
178. C47×#396C22semidirect
179. C47×#395C22semidirect
181. C47×#393C22semidirect
182. C47×#391C22semidirect
183. C47×#391C22semidirect
185. C47×#388C22semidirect
186. C47×#387C22semidirect
809. #2700D47semidirect
907. #397C2×D47semidirect
911. #396C2×D47semidirect
917. #395C2×D47semidirect
931. #393C2×D47semidirect
936. #391C2×D47semidirect
937. #391C2×D47semidirect
955. #388C2×D47semidirect
959. #387C2×D47semidirect
1002. C47#36716semidirect

Maximal subgroups

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

subgroupindex
C2×#156897072
C2×C22⋊Q8×D472
#202516812
#202516792
#202499852
#202499832
#202499802
#202499652
#202499642
#202499632
#202499622
#202497472
#202497462
#202497452
#202497442
#202497272
#202497262
#202497242
#202491622
#202491602
#202488662
#202487642
#202487392
#202487302
#202478752
#202478652
#202467512
#202467462
#202459822
C47×#27002
#3671647