Finite Group Databasebeta

← #25265397

Subgroups — #25265397

Order 11008.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583430C211yesmaximal, characteristic, complemented
2C2×#117×D43C211yesmaximal, characteristic, complemented
3#19138862C211yesmaximal, characteristic, complemented
4#19138839C211yesmaximal, characteristic, complemented
5#19138828C211yesmaximal, characteristic, complemented
6#19138805C211yesmaximal, characteristic, complemented
7#19138796C211yesmaximal, characteristic, complemented
8#19138773C211yesmaximal, characteristic, complemented
9#19138750C211yesmaximal, characteristic, complemented
10#19138739C211yesmaximal, characteristic, complemented
11#19138716C211yesmaximal, characteristic, complemented
12#19138711C211yesmaximal, characteristic, complemented
13#19138688C211yesmaximal, characteristic, complemented
14#19138403C211yesmaximal, characteristic, complemented
15#19138323C211yesmaximal, characteristic, complemented
16#19138128C211yesmaximal, characteristic
17#19138050C211yesmaximal, characteristic, complemented
18#19137872C211yesmaximal, characteristic, complemented
19#19137851C211yesmaximal, characteristic, complemented
20#19137851C211yesmaximal, characteristic, complemented
21#19137834C211yesmaximal, characteristic, complemented
22#19137129C211yesmaximal, characteristic, complemented
23#19137111C211yesmaximal, characteristic, complemented
24#19137100C211yesmaximal, characteristic, complemented
25#19137100C211yesmaximal, characteristic, complemented
26#19137089C211yesmaximal, characteristic, complemented
27#19137055C211yesmaximal, characteristic, complemented
28#19137037C211yesmaximal, characteristic, complemented
29#19137031C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2476C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583430—28no—
34C2×#13063318C2211yescharacteristic
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063316C2211yescharacteristic, complemented
37C2×#13063312C2211yescharacteristic
38C2×#13063306C2211yescharacteristic
39C2×#13063306C2211yescharacteristic, complemented
40C2×#13063304C2211yescharacteristic, complemented
41C2×#13063303C2211yescharacteristic
42C2×#13063296C2211yescharacteristic
43C2×#13063293C2211yescharacteristic
44C2×#13063293C2211yescharacteristic
45C2×#13063290C2211yescharacteristic, complemented
46C2×D4×Dic43C2211yescharacteristic
47C2×D4×Dic43C2211yescharacteristic
48C2×D4×Dic43C2211yescharacteristic, complemented
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C2×(C22⋊D43)⋊C4C2211yescharacteristic
53C2×(C22⋊D43)⋊C4C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×#13063284C2211yescharacteristic
56C2×#13063283C2211yescharacteristic
57C2×#13063283C2211yescharacteristic
58C2×#13063282C2211yescharacteristic
59C2×#13063282C2211yescharacteristic
60C2×#13063281C2211yescharacteristic
61C2×#13063281C2211yescharacteristic
62C2×#13063281C2211yescharacteristic, complemented
63#117×D43—28no—
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C4⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C22×C4×Dic43C2211yescharacteristic, complemented
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582835C2211yescharacteristic, complemented
75#14582835C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic
77#14582832C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582829C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic
82#14582827C2211yescharacteristic
83#14582827C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582826C2211yescharacteristic
86#14582824C2211yescharacteristic
87#14582824C2211yescharacteristic
88#14582822C2211yescharacteristic, complemented
89#14582822C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic
91#14582821C2211yescharacteristic
92#14582820C2211yescharacteristic, complemented
93#14582814C2211yescharacteristic
94#14582814C2211yescharacteristic
95#14582813C2211yescharacteristic
96#14582813C2211yescharacteristic
97#14582812C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582803C2211yescharacteristic, complemented
100#14582799C2211yescharacteristic
101#14582799C2211yescharacteristic
102#14582797C2211yescharacteristic, complemented
103#14582796C2211yescharacteristic, complemented
104#14582796C2211yescharacteristic, complemented
105#14582794C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic
107#14582793C2211yescharacteristic, complemented
108#14582793C2211yescharacteristic, complemented
109#14582792C2211yescharacteristic
110#14582792C2211yescharacteristic, complemented
111#14582792C2211yescharacteristic, complemented
112#14582791C2211yescharacteristic
113#14582790C2211yescharacteristic
114#14582789C2211yescharacteristic
115#14582788C2211yescharacteristic
116#14582787C2211yescharacteristic
117#14582786C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582783C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582778C2211yescharacteristic
127#14582776C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582775C2211yescharacteristic
133#14582775C2211yescharacteristic
134#14582775C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582774C2211yescharacteristic, complemented
137#14582773C2211yescharacteristic
138#14582773C2211yescharacteristic
139#14582773C2211yescharacteristic
140#14582773C2211yescharacteristic
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582772C2211yescharacteristic
144#14582772C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582758C2211yescharacteristic
148#14582756C2211yescharacteristic
149#14582754C2211yescharacteristic
150#14582754C2211yescharacteristic
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158#14582750C2211yescharacteristic, complemented
159C22⋊C4×Dic43C2211yescharacteristic
160C22⋊C4×Dic43C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic, complemented
163C22⋊C4×Dic43C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic
167#14582746C2211yescharacteristic
168#14582746C2211yescharacteristic
169#14582746C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172#14582744C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×#117×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic, complemented
177C43×#394C2211yescharacteristic
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic, complemented
180C43×#390C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—24no—
201C22×C4×D43—24no—
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063318—24no—
211#13063318—24no—
212#13063316—24no—
213#13063312—24no—
214#13063306—24no—
215#13063306—24no—
216#13063304—24no—
217#13063303—24no—
218#13063296—24no—
219#13063293—24no—
220#13063293—24no—
221#13063290—24no—
222D4×Dic43—24no—
223D4×Dic43—24no—
224D4×Dic43—24no—
225C4×C22⋊D43—24no—
226(C22⋊D43)⋊C4—24no—
227(C22⋊D43)⋊C4—24no—
228(C22⋊D43)⋊C4—24no—
229(C22⋊D43)⋊C4—24no—
230(C22⋊D43)⋊C4—24no—
231#13063284—24no—
232#13063283—24no—
233#13063283—24no—
234#13063282—24no—
235#13063282—24no—
236#13063281—24no—
237#13063281—24no—
238#13063281D418yescomplemented
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C4⋊C4×D43—24no—
266C4⋊C4×D43—24no—
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C22⋊C4×D43—24no—
299C22⋊C4×D43—24no—
300C2×C4×Dic43—24no—
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C42×D43—24no—
319C42×D43—24no—
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353#121×C43—24no—
354#117×C43—24no—
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375C2×C42×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—41no—
394C23×D43—41no—
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—41no—
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43#4114yes—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—41no—
447C22×Dic43C2×D414yes—
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C2×C4×D43—232no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43#4114yes—
486C2×C4×D43#4114yes—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—41no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43C2×D414yes—
509C42×C43—22no—
510C42×C43—22no—
511C42×C43—41no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—41no—
526C22⋊Dic43C2×D414yes—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4#4114yes—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—22no—
546C4⋊Dic43—22no—
547C4⋊Dic43—22no—
548C4⋊Dic43—22no—
549C4⋊Dic43—41no—
550C4⋊Dic43—41no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4C2×D414yes—
568Dic43⋊C4C2×D414yes—
569C4×Dic43—22no—
570C4×Dic43—22no—
571C4×Dic43—22no—
572C4×Dic43—22no—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—41no—
584C4×Dic43C2×D414yes—
585C4×Dic43C2×D414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43C22×D412yes—
606C23×C43C2×#4112yes—
607C23×C43C2511yescharacteristic
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—28no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—44no—
620C22×D43—44no—
621C22×D43—44no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43C2×#4112yes—
626C22×D43C2×#4112yes—
627C22×D43C2×#4112yes—
628C22×D43C2×#4112yes—
629D4×C43—44no—
630D4×C43—44no—
631D4×C43—44no—
632C2×C4×C43—28no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—44no—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C2×#4112yes—
668C2×C4×C43C2×#4112yes—
669C2×C4×C43C2×#4112yes—
670C22⋊D43—28no—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C22⋊D43—44no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—28no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—44no—
710C2×Dic43—44no—
711C2×Dic43—44no—
712C2×Dic43C22×D412yes—
713C2×Dic43C22×D412yes—
714C2×Dic43C22×D412yes—
715C2×Dic43C22×D412yes—
716C2×Dic43C2×#4112yes—
717C2×Dic43C2×#4112yes—
718C2×Dic43C2×#4112yes—
719C2×Dic43C2×#4112yes—
720C4×D43—28no—
721C4×D43—28no—
722C4×D43—28no—
723C4×D43—28no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—44no—
729#34740—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43C23×D411yescharacteristic
752C22×C43C22×#4111yescharacteristic
753C22×C43C22×#4111yescharacteristic
754C22×C43C22×#4111yescharacteristic
755C22×C43C22×#4111yescharacteristic
756C22×C43#58511yescharacteristic
757C22×C43#58511yescharacteristic
758C2×D43—22no—
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—22no—
764C2×D43—22no—
765C2×D43—22no—
766C2×D43—22no—
767C2×D43—416no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43#52914yescomplemented
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#52514yes—
799C2×#529—431no—
800C22×#117—431no—
801#2481—431no—
802#2480—431no—
803#2479—431no—
804#2478—431no—
805#2477—431no—
806#2476D4311yescharacteristic, complemented
807#2475—431no—
808#2474—431no—
809#2473—431no—
810#2472—431no—
811#2471—431no—
812#2470—431no—
813#2449—431no—
814#2443—431no—
815#2424—431no—
816#2418—431no—
817#2396—431no—
818#2395—431no—
819#2395—431no—
820#2392—431no—
821C4×C22⋊Q8—431no—
822C4×#121—431no—
823C4×#120—431no—
824C4×#120—431no—
825#2298—431no—
826#2293—431no—
827#2290—431no—
828#2290—431no—
829C42×D4—431no—
830C2×C43—42no—
831C2×C43—42no—
832C2×C43—81no—
833C2×C43C2×#52511yescharacteristic
834C2×C43C2×#52911yescharacteristic
835C2×C43#345511yescharacteristic
836C2×C43D4×#4111yescharacteristic
837C2×C43D4×#4111yescharacteristic
838C2×C43#347511yescharacteristic
839C2×C43#347511yescharacteristic
840D43—24no—
841D43—42no—
842C24×C4—431no—
843#529—868no—
844C2×#126—431no—
845C2×#126—431no—
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121—431no—
853C2×#121C2×D4311yescharacteristic
854C2×#120—431no—
855C2×#120—431no—
856C2×C4×Q8—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4—431no—
864C2×C4×D4—431no—
865C2×C4×D4—431no—
866C2×#117—431no—
867C2×#117—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871C2×#117—431no—
872C2×#117—431no—
873C2×#117—431no—
874C2×#117—868no—
875C2×#117C2×D4311yescharacteristic
876C22×C4⋊C4—431no—
877C22×C4⋊C4—431no—
878C22×C22⋊C4—431no—
879C22×C22⋊C4—431no—
880C22×C42—431no—
881C22×C42—431no—
882C22×C42—431no—
883#400—431no—
884#400—431no—
885#400—431no—
886#399—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398C2×D4311yescharacteristic, complemented
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397—431no—
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394C2×D4311yescharacteristic
911#394C2×D4311yescharacteristic
912#394C2×D4311yescharacteristic, complemented
913#393—431no—
914#392—431no—
915#391—431no—
916#390—431no—
917#390—431no—
918#390C2×D4311yescharacteristic, complemented
919#389—431no—
920#389—431no—
921#389—431no—
922#389—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388C2×D4311yescharacteristic
935#388C2×D4311yescharacteristic, complemented
936#388C2×D4311yescharacteristic, complemented
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
941#387—431no—
942#387—431no—
943#387—431no—
944#387—431no—
945#387—431no—
946#387C2×D4311yescharacteristic, complemented
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386C2×D4311yescharacteristic
958#386C2×D4311yescharacteristic
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385C2×D4311yescharacteristic, complemented
971#380—431no—
972#380—431no—
973#379—431no—
974#379—431no—
975C4×C4⋊C4—431no—
976C4×C4⋊C4—431no—
977C4×C4⋊C4—431no—
978C4×C4⋊C4—431no—
979C4×C4⋊C4—431no—
980C4×C4⋊C4—431no—
981C4×C4⋊C4—431no—
982C4×C4⋊C4—431no—
983C4×C22⋊C4—431no—
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987C4×C22⋊C4—431no—
988C4×C22⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4C2×D4311yescharacteristic, complemented
997#376—431no—
998C43—431no—
999C43#3474011yescharacteristic, complemented, Sylow
1000C25—431no—
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4C22×D4311yescharacteristic
1007C22×D4C22×D4311yescharacteristic
1008C22×D4C22×D4311yescharacteristic
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—864no—
1022C23×C4—864no—
1023C23×C4—864no—
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026#126—864no—
1027#126—864no—
1028#125—864no—
1029#124—864no—
1030#123—864no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—24no—
1035#121—864no—
1036#120—864no—
1037#120—864no—
1038C4×Q8—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—864no—
1044C4×D4—864no—
1045C4×D4—864no—
1046C4×D4—864no—
1047C4×D4—864no—
1048#117—24no—
1049#117—438no—
1050#117—864no—
1051#117—864no—
1052#117—864no—
1053#117—864no—
1054#117—864no—
1055#117—864no—
1056#117—864no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—864no—
1084C2×C4⋊C4—864no—
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—864no—
1123C2×C22⋊C4—864no—
1124C2×C22⋊C4C22×D4311yescharacteristic
1125C2×C22⋊C4C22×D4311yescharacteristic
1126C2×C22⋊C4C22×D4311yescharacteristic
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C42—431no—
1138C2×C42—431no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—864no—
1155C2×C42—864no—
1156C2×C42—864no—
1157C2×C42C22×D4311yescharacteristic
1158C2×C42C22×D4311yescharacteristic
1159C2×C42C22×D4311yescharacteristic
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95C22×D4311yescharacteristic
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196C24—431no—
1197C24—431no—
1198C24—862no—
1199C24—862no—
1200C24—862no—
1201C24—862no—
1202C24—862no—
1203C24—1721no—
1204C24—1721no—
1205C24C23×D4311yescharacteristic
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C2×Q8—862no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—434no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—862no—
1228C2×D4—862no—
1229C2×D4—862no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—431no—
1239C22×C4—434no—
1240C22×C4—431no—
1241C22×C4—431no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—434no—
1246C22×C4—434no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—8632no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—434no—
1308C4⋊C4—434no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—862no—
1327C4⋊C4—862no—
1328C4⋊C4—862no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—434no—
1346C22⋊C4—434no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4D4×D4314yes—
1377C42—22no—
1378C42—22no—
1379C42—41no—
1380C42—434no—
1381C42—434no—
1382C42—862no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—862no—
1391C42—862no—
1392C42—862no—
1393C42—862no—
1394C42—862no—
1395C42—862no—
1396C42—1721no—
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—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—432no—
1417C23—432no—
1418C23—432no—
1419C23—432no—
1420C23—868no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—1724no—
1432C23—1724no—
1433C23—1724no—
1434C23—1724no—
1435C23—1724no—
1436C23—1724no—
1437C23C2×D4×D4312yes—
1438C23#41×D4312yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—44no—
1442D4—44no—
1443D4—44no—
1444D4—868no—
1445D4—1724no—
1446D4—1724no—
1447D4—1724no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
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—44no—
1481C2×C4—432no—
1482C2×C4—432no—
1483C2×C4—432no—
1484C2×C4—432no—
1485C2×C4—432no—
1486C2×C4—432no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—868no—
1490C2×C4—868no—
1491C2×C4—868no—
1492C2×C4—868no—
1493C2×C4—868no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—1724no—
1529C2×C4—1724no—
1530C2×C4—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4—1724no—
1534C2×C4—1724no—
1535C2×C4C2×D4×D4312yes—
1536C2×C4C2×D4×D4312yes—
1537C2×C4#41×D4312yes—
1538C2×C4#41×D4312yes—
1539C2×C4#41×D4312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
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—434no—
1562C22—862no—
1563C22—862no—
1564C22—862no—
1565C22—862no—
1566C22—862no—
1567C22—862no—
1568C22—862no—
1569C22—862no—
1570C22—862no—
1571C22—17216no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22C22×D4×D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C2×#41×D4311yescharacteristic
1580C22C2×#41×D4311yescharacteristic
1581C22#1458373411yescharacteristic
1582C22#1458373411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—434no—
1596C4—862no—
1597C4—862no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—864no—
1613C2—1722no—
1614C2#525×D4311yescharacteristic
1615C2#529×D4311yescharacteristic
1616C2#1914797911yescharacteristic
1617C2#1914807911yescharacteristic
1618C2#1914807911yescharacteristic
1619C2#1914815211yescharacteristic
1620C2#1914815411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2476C2
prime radical#19138128C2
hypercenter#2476D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. C2×#14583430C2semidirect
2. C2×#117×D43C2semidirect
3. #19138862C2semidirect
4. #19138839C2semidirect
5. #19138828C2semidirect
6. #19138805C2semidirect
7. #19138796C2semidirect
8. #19138773C2semidirect
9. #19138750C2semidirect
10. #19138739C2semidirect
11. #19138716C2semidirect
12. #19138711C2semidirect
13. #19138688C2semidirect
14. #19138403C2semidirect
15. #19138323C2semidirect
17. #19138050C2semidirect
18. #19137872C2semidirect
19. #19137851C2semidirect
20. #19137851C2semidirect
21. #19137834C2semidirect
22. #19137129C2semidirect
23. #19137111C2semidirect
24. #19137100C2semidirect
25. #19137100C2semidirect
26. #19137089C2semidirect
27. #19137055C2semidirect
28. #19137037C2semidirect
29. #19137031C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2476C2semidirect
35. C2×#13063318C22semidirect
36. C2×#13063316C22semidirect
39. C2×#13063306C22semidirect
40. C2×#13063304C22semidirect
45. C2×#13063290C22semidirect
48. C2×D4×Dic43C22semidirect
62. C2×#13063281C22semidirect
68. C22×C4×Dic43C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582841C22semidirect
74. #14582835C22semidirect
75. #14582835C22semidirect
77. #14582832C22semidirect
78. #14582832C22semidirect
79. #14582832C22semidirect
80. #14582829C22semidirect
83. #14582827C22semidirect
84. #14582827C22semidirect
88. #14582822C22semidirect
89. #14582822C22semidirect
92. #14582820C22semidirect
99. #14582803C22semidirect
102. #14582797C22semidirect
103. #14582796C22semidirect
104. #14582796C22semidirect
105. #14582794C22semidirect
107. #14582793C22semidirect
108. #14582793C22semidirect
110. #14582792C22semidirect
111. #14582792C22semidirect
117. #14582786C22semidirect
118. #14582786C22semidirect
119. #14582783C22semidirect
120. #14582783C22semidirect
121. #14582783C22semidirect
122. #14582781C22semidirect
123. #14582781C22semidirect
124. #14582780C22semidirect
125. #14582780C22semidirect
136. #14582774C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
158. #14582750C22semidirect
161. C22⋊C4×Dic43C22semidirect
162. C22⋊C4×Dic43C22semidirect
163. C22⋊C4×Dic43C22semidirect
164. C22⋊C4×Dic43C22semidirect
165. C22⋊C4×Dic43C22semidirect
172. #14582744C22semidirect
173. C42×Dic43C22semidirect
176. C43×#398C22semidirect
179. C43×#394C22semidirect
180. C43×#390C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
184. C43×#387C22semidirect
187. C43×#385C22semidirect
188. C4×C22⋊C4×C43C22semidirect
238. #13063281D4semidirect
772. C2×D43#529semidirect
806. #2476D43semidirect
893. #398C2×D43semidirect
912. #394C2×D43semidirect
918. #390C2×D43semidirect
935. #388C2×D43semidirect
936. #388C2×D43semidirect
946. #387C2×D43semidirect
970. #385C2×D43semidirect
996. C4×C22⋊C4C2×D43semidirect
999. C43#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#145834302
C2×#117×D432
#191388622
#191388392
#191388282
#191388052
#191387962
#191387732
#191387502
#191387392
#191387162
#191387112
#191386882
#191384032
#191383232
#191381282
#191380502
#191378722
#191378512
#191378342
#191371292
#191371112
#191371002
#191370892
#191370552
#191370372
#191370312
C4×(C22⋊D43)⋊C42
C43×#24762
#3474043