Finite Group Databasebeta

← #26386223

Subgroups — #26386223

Order 12032.

2646 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×#15689677C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic
3#20247757C211yesmaximal, characteristic, complemented
4#20247755C211yesmaximal, characteristic, complemented
5#20247746C211yesmaximal, characteristic, complemented
6#20247744C211yesmaximal, characteristic, complemented
7#20247735C211yesmaximal, characteristic, complemented
8#20247733C211yesmaximal, characteristic, complemented
9#20247724C211yesmaximal, characteristic, complemented
10#20247722C211yesmaximal, characteristic, complemented
11#20247717C211yesmaximal, characteristic, complemented
12#20247715C211yesmaximal, characteristic, complemented
13#20247709C211yesmaximal, characteristic, complemented
14#20247707C211yesmaximal, characteristic, complemented
15#20247517C211yesmaximal, characteristic, complemented
16#20247515C211yesmaximal, characteristic, complemented
17#20247509C211yesmaximal, characteristic, complemented
18#20247507C211yesmaximal, characteristic, complemented
19#20246675C211yesmaximal, characteristic, complemented
20#20246675C211yesmaximal, characteristic, complemented
21#20246674C211yesmaximal, characteristic, complemented
22C4×#13094013C211yesmaximal, characteristic, complemented
23C4×#13094011C211yesmaximal, characteristic, complemented
24C4×#13094010C211yesmaximal, characteristic, complemented
25C4×#13094010C211yesmaximal, characteristic, complemented
26#20245874C211yesmaximal, characteristic, complemented
27#20245874C211yesmaximal, characteristic, complemented
28#20245769C211yesmaximal, characteristic, complemented
29#20245727C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2398C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689677—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094022C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094013C2211yescharacteristic
40C2×#13094011C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43#15689632—28no—
44C2×#13094009C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094004C2211yescharacteristic
47C2×#13094002C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094001C2211yescharacteristic
51C2×#13094000C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093996C2211yescharacteristic
54C2×#13093994C2211yescharacteristic
55C2×#13093992C2211yescharacteristic
56C2×C4×Dic94C2211yescharacteristic, complemented
57C2×C4×Dic94C2211yescharacteristic, complemented
58C2×C4×Dic94C2211yescharacteristic, complemented
59C2×C4×D188C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×#13093981C2211yescharacteristic
63C2×#13093981C2211yescharacteristic
64C2×#13093981C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689064C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689063C2211yescharacteristic, complemented
74#15689063C2211yescharacteristic, complemented
75#15689052C2211yescharacteristic
76#15689052C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic
78#15689051C2211yescharacteristic, complemented
79#15689050C2211yescharacteristic
80#15689050C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic
82#15689041C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689036C2211yescharacteristic
88#15689036C2211yescharacteristic
89#15689036C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic
92#15689035C2211yescharacteristic, complemented
93#15689030C2211yescharacteristic, complemented
94#15689028C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689027C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689026C2211yescharacteristic
102#15689024C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic, complemented
106#15689023C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic, complemented
108#15689023C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic
110#15689017C2211yescharacteristic
111#15689017C2211yescharacteristic, complemented
112#15689017C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic
114#15689016C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic
116#15689015C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic
118#15689013C2211yescharacteristic
119#15689013C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic
122#15689012C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic
124#15689011C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688988C2211yescharacteristic, complemented
134#15688988C2211yescharacteristic, complemented
135#15688987C2211yescharacteristic, complemented
136#15688987C2211yescharacteristic, complemented
137#15688985C2211yescharacteristic
138#15688985C2211yescharacteristic
139#15688982C2211yescharacteristic
140#15688982C2211yescharacteristic
141#15688981C2211yescharacteristic
142#15688981C2211yescharacteristic
143#15688978C2211yescharacteristic
144#15688978C2211yescharacteristic
145#15688974C2211yescharacteristic, complemented
146#15688974C2211yescharacteristic, complemented
147#15688974C2211yescharacteristic, complemented
148#15688974C2211yescharacteristic, complemented
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic47C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161C4×C22⋊Dic47C2211yescharacteristic, complemented
162C4×C22⋊Dic47C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688969C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C42×Dic47C2211yescharacteristic, complemented
173C42×Dic47C2211yescharacteristic, complemented
174C2×C4×Q8×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#400C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic
179C47×#397C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#393C2211yescharacteristic
183C47×#393C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C47×#376C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—24no—
192C2×#10625350—24no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—24no—
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#13094023—24no—
217#13094022—24no—
218#13094014—24no—
219#13094014—24no—
220#13094013—24no—
221#13094011—24no—
222#13094010—24no—
223#13094010—24no—
224#13094009—24no—
225#13094006—24no—
226#13094004—24no—
227#13094002—24no—
228#13094002—24no—
229#13094002—24no—
230#13094001—24no—
231#13094000—24no—
232#13093997—24no—
233#13093996—24no—
234#13093994—24no—
235#13093992—24no—
236C4×Dic94—24no—
237C4×Dic94—24no—
238C4×Dic94—24no—
239C4×D188—24no—
240C4×C22⋊D47—24no—
241C4×C22⋊D47—24no—
242#13093981—24no—
243#13093981—24no—
244#13093981D418yes—
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C22⋊C4×D47—24no—
300C22⋊C4×D47—24no—
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C42×D47—24no—
319C42×D47—24no—
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×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C4×Q8×C47—24no—
353C4×D4×C47—24no—
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C2×C42×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—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×Q8×C47—22no—
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—41no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
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—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
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
450#10625350—416no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—22no—
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—41no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
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—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—416no—
482C2×C4×D47C2×D414yes—
483C2×C4×D47#4114yes—
484C2×C4×D47#4114yes—
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94—22no—
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—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C42×C47—22no—
512C42×C47—22no—
513C42×C47—22no—
514C42×C47—22no—
515C42×C47C2×D414yes—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
525C22⋊Dic47#4114yescomplemented
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—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
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—
551(C2×D47)⋊C4#4114yescomplemented
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4C2×D414yes—
569Dic47⋊C4C2×D414yes—
570C4×Dic47—22no—
571C4×Dic47—22no—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—22no—
578C4×Dic47—22no—
579C4×Dic47—22no—
580C4×Dic47—22no—
581C4×Dic47—22no—
582C4×Dic47—41no—
583C4×Dic47—41no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47C2×D414yes—
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×C47C2×#4112yes—
601C23×C47C2511yescharacteristic
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—28no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47C22×D412yes—
627C22×D47C2×#4112yes—
628C22×D47C2×#4112yes—
629C22×D47C2×#4112yes—
630Q8×C47—44no—
631D4×C47—44no—
632C2×C4×C47—21no—
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—44no—
666C2×C4×C47—44no—
667C2×C4×C47C22×D412yes—
668C2×C4×C47C22×D412yes—
669C2×C4×C47C22×D412yes—
670C2×C4×C47C2×#4112yes—
671C2×C4×C47C2×#4112yes—
672C2×C4×C47C2×#4112yes—
673C22⋊D47—44no—
674C22⋊D47—44no—
675C22⋊D47—44no—
676C22⋊D47—44no—
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—44no—
709C2×Dic47C22×D412yes—
710C2×Dic47C22×D412yes—
711C2×Dic47C22×D412yes—
712C2×Dic47C2×#4112yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47C2×#4112yes—
715C2×Dic47C2×#4112yes—
716C2×Dic47C2×#4112yes—
717D188—44no—
718D188—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47#124116yescomplemented
728Dic94—44no—
729Dic94—44no—
730Dic94—44no—
731Dic94—44no—
732#34813—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×C47C22×#4111yescharacteristic
749C22×C47C22×#4111yescharacteristic
750C22×C47C22×#4111yescharacteristic
751C22×C47C22×#4111yescharacteristic
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×D47C2×#12414yes—
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×C47C2×#12414yes—
789Dic47—22no—
790Dic47—22no—
791Dic47—22no—
792Dic47—22no—
793Dic47—22no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47C2×#12414yes—
802C2×#533—471no—
803C2×#525—471no—
804#2492—471no—
805#2492—471no—
806#2491—471no—
807#2491—471no—
808#2490—471no—
809#2490—471no—
810#2489—471no—
811#2489—471no—
812#2488—471no—
813#2488—471no—
814#2488—471no—
815#2488—471no—
816#2472—471no—
817#2472—471no—
818#2472—471no—
819#2472—471no—
820#2398—471no—
821#2398—471no—
822#2398—471no—
823#2398D4711yescharacteristic, complemented
824C4×#124—471no—
825C4×#124—471no—
826C4×#124—471no—
827C4×#124—471no—
828#2297—471no—
829#2297—471no—
830#2280—471no—
831C4×#117—471no—
832C2×C4×C22⋊C4—471no—
833C2×C47—42no—
834C2×C47—81no—
835C2×C47C22×#12411yescharacteristic
836C2×C47#344411yescharacteristic
837C2×C47#345511yescharacteristic
838C2×C47D4×#4111yescharacteristic
839C2×C47D4×#4111yescharacteristic
840C2×C47#347511yescharacteristic
841C2×C47#347511yescharacteristic
842D47—24no—
843D47—42no—
844D47—81no—
845C22×#41—471no—
846C24×C4—471no—
847#533—948no—
848C2×C4⋊Q8—471no—
849C2×C4⋊Q8—471no—
850C2×#125—471no—
851C2×#125—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124—471no—
856#525—948no—
857C2×#123—471no—
858C2×#123—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×#121—471no—
866C2×#121—471no—
867C2×#120—471no—
868C2×#120—471no—
869C2×C4×Q8—471no—
870C2×C4×Q8—471no—
871C2×C4×Q8—471no—
872C2×C4×Q8C2×D4711yescharacteristic, complemented
873C2×C4×D4—471no—
874C2×C4×D4—471no—
875C2×C4×D4—471no—
876C2×C4×D4C2×D4711yescharacteristic
877C2×#117—471no—
878C2×#117—471no—
879C2×#117—471no—
880C22×C22⋊C4—471no—
881C22×C22⋊C4—471no—
882C22×C42—471no—
883C22×C42—471no—
884#400—471no—
885#400—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400—471no—
890#400C2×D4711yescharacteristic, complemented
891#400C2×D4711yescharacteristic, complemented
892#397—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397C2×D4711yescharacteristic
899#397C2×D4711yescharacteristic, complemented
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394C2×D4711yescharacteristic
907#394C2×D4711yescharacteristic
908#393—471no—
909#393—471no—
910#393—471no—
911#393—471no—
912#393—471no—
913#393—471no—
914#393C2×D4711yescharacteristic
915#393C2×D4711yescharacteristic, complemented
916#391—471no—
917#391—471no—
918#391—471no—
919#391—471no—
920#391—471no—
921#391—471no—
922#391—471no—
923#391—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#390—471no—
929#390—471no—
930#390—471no—
931#390—471no—
932#388—471no—
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#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#382—471no—
957#382—471no—
958#382—471no—
959#382—471no—
960#381—471no—
961#381—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#379—471no—
967#379—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4C2×D4711yescharacteristic
993C4×C22⋊C4C2×D4711yescharacteristic
994C4×C22⋊C4C2×D4711yescharacteristic, complemented
995C4×C22⋊C4C2×D4711yescharacteristic, complemented
996#376—471no—
997#376C2×D4711yescharacteristic, complemented
998C2×#95—471no—
999C2×#95—471no—
1000C43—471no—
1001C43—471no—
1002C47#3481311yescharacteristic, complemented, Sylow
1003C25—471no—
1004C2×#41—944no—
1005C2×#41—944no—
1006C2×#41—944no—
1007C22×Q8—471no—
1008C22×Q8—471no—
1009C22×Q8—471no—
1010C22×Q8—471no—
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—944no—
1030C23×C4—944no—
1031C23×C4—944no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034C4⋊Q8—944no—
1035C4⋊Q8—944no—
1036#125—944no—
1037#125—944no—
1038#124—944no—
1039#124—944no—
1040#124—944no—
1041#124—944no—
1042#123—944no—
1043#123—944no—
1044C22⋊Q8—944no—
1045C22⋊Q8—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050#121—944no—
1051#121—944no—
1052#120—944no—
1053#120—944no—
1054C4×Q8—24no—
1055C4×Q8—944no—
1056C4×Q8—944no—
1057C4×Q8—944no—
1058C4×D4—24no—
1059C4×D4—944no—
1060C4×D4—944no—
1061C4×D4—944no—
1062#117—478no—
1063#117—944no—
1064#117—944no—
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⋊C4C22×D4711yescharacteristic
1084C2×C4⋊C4C22×D4711yescharacteristic
1085C2×C4⋊C4C22×D4711yescharacteristic
1086C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1123C2×C22⋊C4—944no—
1124C2×C22⋊C4—944no—
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×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—944no—
1153C2×C42—944no—
1154C2×C42C22×D4711yescharacteristic
1155C2×C42C22×D4711yescharacteristic
1156C2×C42C22×D4711yescharacteristic
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—471no—
1202C24—942no—
1203C24—942no—
1204C24—942no—
1205C24—942no—
1206C24—942no—
1207C24—1881no—
1208C24—1881no—
1209C24C23×D4711yescharacteristic
1210C24C23×D4711yescharacteristic
1211#41—18816no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—942no—
1216C2×Q8—942no—
1217C2×Q8—942no—
1218C2×Q8—942no—
1219C2×Q8—942no—
1220C2×Q8—942no—
1221C2×Q8—942no—
1222C2×Q8—942no—
1223C2×Q8—942no—
1224C2×Q8—1881no—
1225C2×Q8—1881no—
1226C2×Q8—1881no—
1227C2×D4—22no—
1228C2×D4—22no—
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—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—471no—
1255C22×C4—474no—
1256C22×C4—474no—
1257C22×C4—474no—
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—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
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—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—18816no—
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—22no—
1315C4⋊C4—474no—
1316C4⋊C4—474no—
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—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—474no—
1344C22⋊C4—474no—
1345C22⋊C4—474no—
1346C22⋊C4—474no—
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—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—474no—
1384C42—942no—
1385C42—942no—
1386C42—942no—
1387C42—942no—
1388C42—942no—
1389C42—942no—
1390C42—942no—
1391C42—942no—
1392C42—942no—
1393C42—942no—
1394C42—942no—
1395C42—942no—
1396C42—1881no—
1397C42—1881no—
1398C42—1881no—
1399C42—1881no—
1400C42D4×D4714yes—
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—
1442C23#41×D4712yes—
1443C23C24×D4711yescharacteristic
1444Q8—44no—
1445Q8—1884no—
1446Q8—1884no—
1447Q8—1884no—
1448Q8—1884no—
1449D4—44no—
1450D4—1884no—
1451D4—1884no—
1452D4—1884no—
1453D4—1884no—
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—44no—
1490C2×C4—44no—
1491C2×C4—472no—
1492C2×C4—472no—
1493C2×C4—472no—
1494C2×C4—4716no—
1495C2×C4—472no—
1496C2×C4—472no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—1884no—
1532C2×C4—1884no—
1533C2×C4—1884no—
1534C2×C4—1884no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4C2×D4×D4712yes—
1541C2×C4C2×D4×D4712yes—
1542C2×C4C2×D4×D4712yes—
1543C2×C4#41×D4712yes—
1544C2×C4#41×D4712yes—
1545C2×C4#41×D4712yes—
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
1583C22C2×#41×D4711yescharacteristic
1584C22C2×#41×D4711yescharacteristic
1585C22C2×#41×D4711yescharacteristic
1586C22C2×#41×D4711yescharacteristic
1587C22#1568995911yescharacteristic
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—474no—
1602C4—942no—
1603C4—942no—
1604C4—942no—
1605C4—942no—
1606C4—942no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4#124×D4714yes—
1615C2—42no—
1616C2—81no—
1617C2—944no—
1618C2—3761no—
1619C2—1882no—
1620C2C2×#124×D4711yescharacteristic
1621C2#2025668211yescharacteristic
1622C2#2025677111yescharacteristic
1623C2#2025687111yescharacteristic
1624C2#2025687111yescharacteristic
1625C2#2025694011yescharacteristic
1626C2#2025694411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2398C2
prime radicalC2×#15689632C2
hypercenter#2398D47
hypocenterC47#34813
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2398

Complements

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

NH ≅ G/Ntype
1. C2×#15689677C2semidirect
3. #20247757C2semidirect
4. #20247755C2semidirect
5. #20247746C2semidirect
6. #20247744C2semidirect
7. #20247735C2semidirect
8. #20247733C2semidirect
9. #20247724C2semidirect
10. #20247722C2semidirect
11. #20247717C2semidirect
12. #20247715C2semidirect
13. #20247709C2semidirect
14. #20247707C2semidirect
15. #20247517C2semidirect
16. #20247515C2semidirect
17. #20247509C2semidirect
18. #20247507C2semidirect
19. #20246675C2semidirect
20. #20246675C2semidirect
21. #20246674C2semidirect
22. C4×#13094013C2semidirect
23. C4×#13094011C2semidirect
24. C4×#13094010C2semidirect
25. C4×#13094010C2semidirect
26. #20245874C2semidirect
27. #20245874C2semidirect
28. #20245769C2semidirect
29. #20245727C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2398C2semidirect
35. C2×#13094023C22semidirect
36. C2×#13094022C22semidirect
37. C2×#13094014C22semidirect
38. C2×#13094014C22semidirect
56. C2×C4×Dic94C22semidirect
57. C2×C4×Dic94C22semidirect
58. C2×C4×Dic94C22semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689064C22semidirect
72. #15689064C22semidirect
73. #15689063C22semidirect
74. #15689063C22semidirect
76. #15689052C22semidirect
78. #15689051C22semidirect
80. #15689050C22semidirect
89. #15689036C22semidirect
90. #15689036C22semidirect
92. #15689035C22semidirect
93. #15689030C22semidirect
94. #15689028C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
97. #15689027C22semidirect
98. #15689027C22semidirect
99. #15689027C22semidirect
100. #15689027C22semidirect
105. #15689023C22semidirect
106. #15689023C22semidirect
107. #15689023C22semidirect
108. #15689023C22semidirect
111. #15689017C22semidirect
112. #15689017C22semidirect
114. #15689016C22semidirect
116. #15689015C22semidirect
119. #15689013C22semidirect
120. #15689013C22semidirect
122. #15689012C22semidirect
124. #15689011C22semidirect
133. #15688988C22semidirect
134. #15688988C22semidirect
135. #15688987C22semidirect
136. #15688987C22semidirect
145. #15688974C22semidirect
146. #15688974C22semidirect
147. #15688974C22semidirect
148. #15688974C22semidirect
155. C4×(C2×D47)⋊C4C22semidirect
156. C4×(C2×D47)⋊C4C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
158. C4×(C2×D47)⋊C4C22semidirect
161. C4×C22⋊Dic47C22semidirect
162. C4×C22⋊Dic47C22semidirect
169. #15688969C22semidirect
172. C42×Dic47C22semidirect
173. C42×Dic47C22semidirect
174. C2×C4×Q8×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#400C22semidirect
179. C47×#397C22semidirect
183. C47×#393C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C47×#376C22semidirect
525. C22⋊Dic47#41semidirect
551. (C2×D47)⋊C4#41semidirect
727. C4×D47#124semidirect
823. #2398D47semidirect
872. C2×C4×Q8C2×D47semidirect
890. #400C2×D47semidirect
891. #400C2×D47semidirect
899. #397C2×D47semidirect
915. #393C2×D47semidirect
994. C4×C22⋊C4C2×D47semidirect
995. C4×C22⋊C4C2×D47semidirect
997. #376C2×D47semidirect
1002. C47#34813semidirect

Maximal subgroups

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

subgroupindex
C2×#156896772
C2×#156896322
#202477572
#202477552
#202477462
#202477442
#202477352
#202477332
#202477242
#202477222
#202477172
#202477152
#202477092
#202477072
#202475172
#202475152
#202475092
#202475072
#202466752
#202466742
C4×#130940132
C4×#130940112
C4×#130940102
#202458742
#202457692
#202457272
C4×C22⋊C4×D472
C47×#23982
#3481347