Finite Group Databasebeta

← #26425127

Subgroups — #26425127

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251677C211yesmaximal, characteristic, complemented
2#20251674C211yesmaximal, characteristic, complemented
3#20251231C211yesmaximal, characteristic, complemented
4#20250779C211yesmaximal, characteristic, complemented
5#20250724C211yesmaximal, characteristic, complemented
6#20250641C211yesmaximal, characteristic, complemented
7#20250437C211yesmaximal, characteristic, complemented
8#20250382C211yesmaximal, characteristic, complemented
9#20250300C211yesmaximal, characteristic, complemented
10#20250199C211yesmaximal, characteristic, complemented
11#20250159C211yesmaximal, characteristic, complemented
12#20250068C211yesmaximal, characteristic, complemented
13#20249995C211yesmaximal, characteristic, complemented
14#20249980C211yesmaximal, characteristic, complemented
15#20249870C211yesmaximal, characteristic, complemented
16#20249800C211yesmaximal, characteristic, complemented
17#20249641C211yesmaximal, characteristic, complemented
18#20249194C211yesmaximal, characteristic, complemented
19#20249160C211yesmaximal, characteristic, complemented
20#20248565C211yesmaximal, characteristic, complemented
21#20248398C211yesmaximal, characteristic, complemented
22#20247638C211yesmaximal, characteristic, complemented
23#20247629C211yesmaximal, characteristic, complemented
24#20247520C211yesmaximal, characteristic, complemented
25#20247515C211yesmaximal, characteristic, complemented
26#20247036C211yesmaximal, characteristic, complemented
27#20246737C211yesmaximal, characteristic
28#20246120C211yesmaximal, characteristic, complemented
29#20246018C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2710C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094018C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094013C2211yescharacteristic
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic, complemented
40C2×#13094004C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13094000C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53#15689063C2211yescharacteristic, complemented
54#15689059C2211yescharacteristic, complemented
55#15689058C2211yescharacteristic, complemented
56#15689056C2211yescharacteristic, complemented
57#15689053C2211yescharacteristic, complemented
58#15689052C2211yescharacteristic, complemented
59#15689052C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689050C2211yescharacteristic, complemented
64#15689050C2211yescharacteristic, complemented
65#15689049C2211yescharacteristic, complemented
66#15689049C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689047C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689043C2211yescharacteristic, complemented
76#15689043C2211yescharacteristic, complemented
77#15689042C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic
79#15689039C2211yescharacteristic, complemented
80#15689039C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic
88#15689037C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689035C2211yescharacteristic, complemented
94#15689032C2211yescharacteristic
95#15689030C2211yescharacteristic, complemented
96#15689029C2211yescharacteristic, complemented
97#15689027C2211yescharacteristic, complemented
98#15689026C2211yescharacteristic
99#15689026C2211yescharacteristic, complemented
100#15689025C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689020C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689008C2211yescharacteristic, complemented
117#15689007C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689006C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689005C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689003C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689000C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic, complemented
136#15688999C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic, complemented
140#15688996C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic, complemented
142#15688995C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688990C2211yescharacteristic, complemented
151#15688988C2211yescharacteristic, complemented
152#15688986C2211yescharacteristic, complemented
153#15688984C2211yescharacteristic, complemented
154#15688984C2211yescharacteristic, complemented
155#15688982C2211yescharacteristic
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688982C2211yescharacteristic, complemented
159#15688981C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic, complemented
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×#124×C47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic, complemented
174C47×#399C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#394C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic, complemented
178C47×#393C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#391C2211yescharacteristic, complemented
181C47×#390C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C2×D4×D47—24no—
198C2×D4×D47—42no—
199C2×D4×D47—42no—
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094018—42no—
213#13094017—42no—
214#13094013—42no—
215#13094010—42no—
216#13094010—42no—
217#13094005—42no—
218#13094004—42no—
219#13094002—42no—
220#13094002—42no—
221#13094001—42no—
222#13094000—24no—
223#13093996—42no—
224#13093996—42no—
225#13093992—42no—
226#13093992—42no—
227(C22⋊D47)⋊C4—24no—
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C22⋊C4×D47—42no—
293C22⋊C4×D47—42no—
294C22⋊C4×D47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
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
332C22×Q8×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337#124×C47—42no—
338#123×C47—42no—
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×Q8×C47—22no—
390C2×Q8×C47—41no—
391C2×Q8×C47—41no—
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×C47—22no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
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—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450D4×D47—416no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—41no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—416no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47#4114yes—
476C2×Dic94—22no—
477C2×Dic94—41no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C42×C47—41no—
503C42×C47—41no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
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—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546C4⋊Dic47—22no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568C4×Dic47—22no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47H(5,𝔽2)12yes—
594C23×C47C2511yescharacteristic
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—28no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47—82no—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D47H(5,𝔽2)12yes—
629C22×D472−1+412yes—
630Q8×C47—82no—
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×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—44no—
670C2×C4×C47C2×#4112yes—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
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×Dic47C2×#4112yes—
716C2×Dic47H(5,𝔽2)12yes—
717D188—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—82no—
724C4×D47—82no—
725Dic94—82no—
726Dic94—82no—
727#36793—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—41no—
732C22×C47—41no—
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×C47C22×#4111yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47C2×H(5,𝔽2)11yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×2−1+411yescharacteristic
755C22×C47#58511yescharacteristic
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—416no—
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—41no—
776C2×D47—41no—
777C2×D47—88no—
778C2×D47#54214yes—
779C4×C47—22no—
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—
789C4×C47—41no—
790C4×C47—41no—
791Dic47—22no—
792Dic47—22no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804#2849—471no—
805#2848—471no—
806#2796—471no—
807#2761—471no—
808#2757—471no—
809#2751—471no—
810#2737—471no—
811#2730—471no—
812#2723—471no—
813#2715—471no—
814#2712—471no—
815#2710D4711yescharacteristic, complemented
816#2705—471no—
817#2701—471no—
818#2700—471no—
819#2691—471no—
820#2686—471no—
821#2672—471no—
822#2626—471no—
823#2622—471no—
824#2564—471no—
825#2549—471no—
826#2480—471no—
827#2480—471no—
828#2472—471no—
829#2472—471no—
830#2435—471no—
831#2408—471no—
832#2329—471no—
833#2318—471no—
834C2×#386—471no—
835C2×C47—42no—
836C2×C47—81no—
837C2×C47—81no—
838C2×C47C2×#54211yescharacteristic
839C2×C47#349011yescharacteristic
840C2×C47#350611yescharacteristic
841C2×C47#353211yescharacteristic
842C2×C47#353411yescharacteristic
843C2×C47#353511yescharacteristic
844C2×C47#353611yescharacteristic
845D47—24no—
846D47—42no—
847D47—81no—
848C23×D4—471no—
849C24×C4—471no—
850C2×#126—471no—
851C2×#126—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124C2×D4711yescharacteristic
856C2×#123—471no—
857C2×#123C2×D4711yescharacteristic, complemented
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871#400—471no—
872#399—471no—
873#399—471no—
874#399C2×D4711yescharacteristic, complemented
875#398—471no—
876#398—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397C2×D4711yescharacteristic, complemented
889#396—471no—
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#395—471no—
896#395—471no—
897#395—471no—
898#394—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394C2×D4711yescharacteristic, complemented
911#394C2×D4711yescharacteristic, complemented
912#393—471no—
913#393—471no—
914#393—471no—
915#393—471no—
916#393C2×D4711yescharacteristic, complemented
917#392—471no—
918#392C2×D4711yescharacteristic
919#391—471no—
920#391—471no—
921#391—471no—
922#391C2×D4711yescharacteristic, complemented
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#390C2×D4711yescharacteristic, complemented
929#389—471no—
930#389—471no—
931#389—471no—
932#389C2×D4711yescharacteristic, complemented
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388C2×D4711yescharacteristic, complemented
944#388C2×D4711yescharacteristic, complemented
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386C2×D4711yescharacteristic
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385C2×D4711yescharacteristic, complemented
981#383—471no—
982#382—471no—
983#381—471no—
984#381—471no—
985#381—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#379—471no—
993#379—471no—
994#379—471no—
995#379—471no—
996#379—471no—
997#379—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C2×#95—471no—
1002C2×#95—471no—
1003C47#3679311yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25—471no—
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8C22×D4711yescharacteristic
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—944no—
1016C22×D4—1882no—
1017C22×D4—1882no—
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
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—1882no—
1031C23×C4—1882no—
1032C23×C4—1882no—
1033C23×C4C22×D4711yescharacteristic
1034#126—1882no—
1035#126—1882no—
1036#124—42no—
1037#124—1882no—
1038#124—1882no—
1039#124—1882no—
1040#123—42no—
1041#123—1882no—
1042C22⋊Q8—944no—
1043C22⋊Q8—1882no—
1044C22⋊Q8—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047#121—1882no—
1048#121—1882no—
1049#120—1882no—
1050#120—1882no—
1051C4×D4—944no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—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—1882no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42C22×D4711yescharacteristic
1145C2×C42C22×D4711yescharacteristic
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186C24—471no—
1187C24—471no—
1188C24—471no—
1189C24—942no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24—942no—
1194C24—942no—
1195C24—942no—
1196C24—942no—
1197C24—1881no—
1198C24—1881no—
1199C24—1881no—
1200C24—1881no—
1201C24—1881no—
1202C24—1881no—
1203C24C23×D4711yescharacteristic
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—942no—
1210C2×Q8—1881no—
1211C2×Q8—1881no—
1212C2×Q8—1881no—
1213C2×Q8—1881no—
1214C2×Q8—1881no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—18816no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—474no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—18816no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C42—41no—
1384C42—41no—
1385C42—942no—
1386C42—1881no—
1387C42—1881no—
1388C42—1881no—
1389C42—1881no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—472no—
1411C23—472no—
1412C23—472no—
1413C23—472no—
1414C23—948no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
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—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23—1884no—
1444C23—1884no—
1445C23#1309406912yes—
1446C23C24×D4711yescharacteristic
1447Q8—82no—
1448Q8—3762no—
1449Q8—3762no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3762no—
1454D4—3762no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
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—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—472no—
1496C2×C4—472no—
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—941no—
1534C2×C4—3762no—
1535C2×C4—3762no—
1536C2×C4—3762no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4#41×D4712yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
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—474no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—3768no—
1576C22—18816no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22C2×#41×D4711yescharacteristic
1589C22H(5,𝔽2)×D4711yescharacteristic
1590C22H(5,𝔽2)×D4711yescharacteristic
1591C22H(5,𝔽2)×D4711yescharacteristic
1592C22C2×#1309406911yescharacteristic
1593C222−1+4×D4711yescharacteristic
1594C22#1568995911yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—942no—
1608C4—942no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C2—42no—
1621C2—81no—
1622C2—81no—
1623C2—944no—
1624C2—3761no—
1625C2—1882no—
1626C2#542×D4711yescharacteristic
1627C2#2025707011yescharacteristic
1628C2#2025723611yescharacteristic
1629C2#2025754211yescharacteristic
1630C2#2025757711yescharacteristic
1631C2#2025758911yescharacteristic
1632C2#2025760711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2710C2
prime radical#20246737C2
hypercenter#2710D47
hypocenterC47#36793
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2710

Complements

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

NH ≅ G/Ntype
1. #20251677C2semidirect
2. #20251674C2semidirect
3. #20251231C2semidirect
4. #20250779C2semidirect
5. #20250724C2semidirect
6. #20250641C2semidirect
7. #20250437C2semidirect
8. #20250382C2semidirect
9. #20250300C2semidirect
10. #20250199C2semidirect
11. #20250159C2semidirect
12. #20250068C2semidirect
13. #20249995C2semidirect
14. #20249980C2semidirect
15. #20249870C2semidirect
16. #20249800C2semidirect
17. #20249641C2semidirect
18. #20249194C2semidirect
19. #20249160C2semidirect
20. #20248565C2semidirect
21. #20248398C2semidirect
22. #20247638C2semidirect
23. #20247629C2semidirect
24. #20247520C2semidirect
25. #20247515C2semidirect
26. #20247036C2semidirect
28. #20246120C2semidirect
29. #20246018C2semidirect
30. #386×D47C2semidirect
31. C47×#2710C2semidirect
34. C2×#13094018C22semidirect
35. C2×#13094017C22semidirect
37. C2×#13094010C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094005C22semidirect
42. C2×#13094002C22semidirect
43. C2×#13094001C22semidirect
53. #15689063C22semidirect
54. #15689059C22semidirect
55. #15689058C22semidirect
56. #15689056C22semidirect
57. #15689053C22semidirect
58. #15689052C22semidirect
59. #15689052C22semidirect
60. #15689051C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689050C22semidirect
64. #15689050C22semidirect
65. #15689049C22semidirect
66. #15689049C22semidirect
67. #15689049C22semidirect
68. #15689048C22semidirect
69. #15689047C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
75. #15689043C22semidirect
76. #15689043C22semidirect
77. #15689042C22semidirect
79. #15689039C22semidirect
80. #15689039C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
88. #15689037C22semidirect
89. #15689037C22semidirect
90. #15689036C22semidirect
91. #15689035C22semidirect
92. #15689035C22semidirect
93. #15689035C22semidirect
95. #15689030C22semidirect
96. #15689029C22semidirect
97. #15689027C22semidirect
99. #15689026C22semidirect
103. #15689020C22semidirect
104. #15689020C22semidirect
105. #15689018C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689015C22semidirect
111. #15689014C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689012C22semidirect
115. #15689011C22semidirect
116. #15689008C22semidirect
117. #15689007C22semidirect
118. #15689007C22semidirect
119. #15689006C22semidirect
120. #15689005C22semidirect
121. #15689005C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
135. #15688999C22semidirect
136. #15688999C22semidirect
139. #15688997C22semidirect
140. #15688996C22semidirect
141. #15688995C22semidirect
142. #15688995C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688990C22semidirect
151. #15688988C22semidirect
152. #15688986C22semidirect
153. #15688984C22semidirect
154. #15688984C22semidirect
158. #15688982C22semidirect
159. #15688981C22semidirect
160. #15688981C22semidirect
173. C2×#123×C47C22semidirect
174. C47×#399C22semidirect
175. C47×#397C22semidirect
176. C47×#394C22semidirect
177. C47×#394C22semidirect
178. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#390C22semidirect
182. C47×#389C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
186. C47×#385C22semidirect
815. #2710D47semidirect
857. C2×#123C2×D47semidirect
874. #399C2×D47semidirect
888. #397C2×D47semidirect
910. #394C2×D47semidirect
911. #394C2×D47semidirect
916. #393C2×D47semidirect
922. #391C2×D47semidirect
928. #390C2×D47semidirect
932. #389C2×D47semidirect
943. #388C2×D47semidirect
944. #388C2×D47semidirect
980. #385C2×D47semidirect
1003. C47#36793semidirect

Maximal subgroups

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

subgroupindex
#202516772
#202516742
#202512312
#202507792
#202507242
#202506412
#202504372
#202503822
#202503002
#202501992
#202501592
#202500682
#202499952
#202499802
#202498702
#202498002
#202496412
#202491942
#202491602
#202485652
#202483982
#202476382
#202476292
#202475202
#202475152
#202470362
#202467372
#202461202
#202460182
#386×D472
C47×#27102
#3679347