Finite Group Databasebeta

← #25266541

Subgroups — #25266541

Order 11008.

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×#14583451C211yesmaximal, characteristic, complemented
2C2×#14583405C211yesmaximal, characteristic
3#19138966C211yesmaximal, characteristic, complemented
4#19138962C211yesmaximal, characteristic, complemented
5#19138955C211yesmaximal, characteristic, complemented
6#19138951C211yesmaximal, characteristic, complemented
7#19138944C211yesmaximal, characteristic, complemented
8#19138940C211yesmaximal, characteristic, complemented
9#19138933C211yesmaximal, characteristic, complemented
10#19138929C211yesmaximal, characteristic, complemented
11#19138927C211yesmaximal, characteristic, complemented
12#19138923C211yesmaximal, characteristic, complemented
13#19138919C211yesmaximal, characteristic, complemented
14#19138915C211yesmaximal, characteristic, complemented
15#19138720C211yesmaximal, characteristic, complemented
16#19138718C211yesmaximal, characteristic, complemented
17#19138715C211yesmaximal, characteristic, complemented
18#19137883C211yesmaximal, characteristic, complemented
19#19137883C211yesmaximal, characteristic, complemented
20#19137880C211yesmaximal, characteristic, complemented
21#19137877C211yesmaximal, characteristic, complemented
22#19137142C211yesmaximal, characteristic, complemented
23#124×Dic43C211yesmaximal, characteristic, complemented
24#19137136C211yesmaximal, characteristic, complemented
25#19137136C211yesmaximal, characteristic, complemented
26#19137080C211yesmaximal, characteristic, complemented
27#19137080C211yesmaximal, characteristic, complemented
28#19136973C211yesmaximal, characteristic, complemented
29C4×#13063281C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic43C211yesmaximal, characteristic, complemented
31C43×#2472C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C24×Dic43C2211yescharacteristic
34#14583451—28no—
35C2×#13063324C2211yescharacteristic, complemented
36C2×#13063323C2211yescharacteristic, complemented
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063312C2211yescharacteristic
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42#14583405—28no—
43C2×#13063309C2211yescharacteristic
44C2×#13063306C2211yescharacteristic
45C2×#13063304C2211yescharacteristic
46C2×#13063302C2211yescharacteristic
47C2×#13063302C2211yescharacteristic
48C2×#13063302C2211yescharacteristic
49C2×#13063302C2211yescharacteristic
50C2×#13063297C2211yescharacteristic
51C2×#13063297C2211yescharacteristic
52C2×#13063294C2211yescharacteristic
53C2×Q8×Dic43C2211yescharacteristic, complemented
54C2×#13063290C2211yescharacteristic, complemented
55C2×#13063290C2211yescharacteristic, complemented
56C2×#13063290C2211yescharacteristic, complemented
57C2×D4×Dic43C2211yescharacteristic
58C2×D4×Dic43C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic
60C2×(C22⋊D43)⋊C4C2211yescharacteristic
61C2×#13063281C2211yescharacteristic
62C2×#13063281C2211yescharacteristic
63C2×#13063281C2211yescharacteristic
64C22×C22⋊Dic43C2211yescharacteristic
65C22×C4×Dic43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic
67#14582841C2211yescharacteristic, complemented
68#14582841C2211yescharacteristic, complemented
69#14582840C2211yescharacteristic, complemented
70#14582840C2211yescharacteristic, complemented
71#14582839C2211yescharacteristic, complemented
72#14582839C2211yescharacteristic, complemented
73#14582838C2211yescharacteristic, complemented
74#14582838C2211yescharacteristic, complemented
75#14582827C2211yescharacteristic
76#14582827C2211yescharacteristic
77#14582827C2211yescharacteristic, complemented
78#14582827C2211yescharacteristic, complemented
79#14582826C2211yescharacteristic, complemented
80#14582825C2211yescharacteristic, complemented
81#14582824C2211yescharacteristic
82#14582815C2211yescharacteristic
83#14582815C2211yescharacteristic
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582813C2211yescharacteristic
87#14582813C2211yescharacteristic
88#14582812C2211yescharacteristic, complemented
89#14582811C2211yescharacteristic
90#14582811C2211yescharacteristic
91#14582811C2211yescharacteristic
92#14582811C2211yescharacteristic, complemented
93#14582811C2211yescharacteristic, complemented
94#14582810C2211yescharacteristic, complemented
95#14582806C2211yescharacteristic, complemented
96#14582805C2211yescharacteristic, complemented
97#14582803C2211yescharacteristic, complemented
98#14582803C2211yescharacteristic, complemented
99#14582803C2211yescharacteristic, complemented
100#14582803C2211yescharacteristic, complemented
101#14582803C2211yescharacteristic, complemented
102#14582803C2211yescharacteristic, complemented
103#14582802C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic, complemented
107#14582799C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582799C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic
111#14582793C2211yescharacteristic
112#14582792C2211yescharacteristic
113#14582792C2211yescharacteristic
114#14582792C2211yescharacteristic, complemented
115#14582792C2211yescharacteristic, complemented
116#14582790C2211yescharacteristic, complemented
117#14582790C2211yescharacteristic, complemented
118#14582789C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic, complemented
120#14582787C2211yescharacteristic
121#14582787C2211yescharacteristic
122#14582787C2211yescharacteristic, complemented
123#14582787C2211yescharacteristic, complemented
124#14582779C2211yescharacteristic
125#14582779C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582776C2211yescharacteristic
129#14582776C2211yescharacteristic
130#14582765C2211yescharacteristic, complemented
131#14582764C2211yescharacteristic, complemented
132#14582763C2211yescharacteristic, complemented
133#14582763C2211yescharacteristic, complemented
134#14582760C2211yescharacteristic
135#14582760C2211yescharacteristic
136#14582757C2211yescharacteristic
137#14582757C2211yescharacteristic
138#14582757C2211yescharacteristic
139#14582757C2211yescharacteristic
140#14582755C2211yescharacteristic
141C4×Dic43⋊C4C2211yescharacteristic, complemented
142C4×Dic43⋊C4C2211yescharacteristic, complemented
143#14582750C2211yescharacteristic, complemented
144#14582750C2211yescharacteristic, complemented
145C22⋊C4×Dic43C2211yescharacteristic
146C22⋊C4×Dic43C2211yescharacteristic
147C22⋊C4×Dic43C2211yescharacteristic
148C22⋊C4×Dic43C2211yescharacteristic
149C22⋊C4×Dic43C2211yescharacteristic
150C22⋊C4×Dic43C2211yescharacteristic
151C22⋊C4×Dic43C2211yescharacteristic
152C22⋊C4×Dic43C2211yescharacteristic
153C22⋊C4×Dic43C2211yescharacteristic
154C22⋊C4×Dic43C2211yescharacteristic
155C22⋊C4×Dic43C2211yescharacteristic
156C22⋊C4×Dic43C2211yescharacteristic
157C22⋊C4×Dic43C2211yescharacteristic
158C22⋊C4×Dic43C2211yescharacteristic
159C22⋊C4×Dic43C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic, complemented
161C22⋊C4×Dic43C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic, complemented
163C4×C22⋊Dic43C2211yescharacteristic
164#14582746C2211yescharacteristic, complemented
165#14582746C2211yescharacteristic, complemented
166#14582746C2211yescharacteristic, complemented
167#14582746C2211yescharacteristic, complemented
168#14582744C2211yescharacteristic, complemented
169#14582744C2211yescharacteristic, complemented
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C42×Dic43C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#124×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic
176C2×#120×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic
178C43×#397C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#393C2211yescharacteristic
182C43×#390C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#379C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C2×#10621900—24no—
190C2×#10621900—24no—
191C2×#10621900—24no—
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×Dic86C2311yescharacteristic
195C22×Dic86C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C23×Dic43—24no—
201C23×Dic43—24no—
202C23×Dic43—24no—
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213#13063324—24no—
214#13063323—24no—
215#13063315—24no—
216#13063315—24no—
217#13063312—24no—
218#13063311—24no—
219#13063311—24no—
220#13063309—24no—
221#13063306—24no—
222#13063304—24no—
223#13063302—24no—
224#13063302—24no—
225#13063302—24no—
226#13063302—24no—
227#13063297—24no—
228#13063297—24no—
229#13063294—24no—
230Q8×Dic43—24no—
231#13063290—24no—
232#13063290—24no—
233#13063290—24no—
234D4×Dic43—24no—
235D4×Dic43—24no—
236(C22⋊D43)⋊C4—24no—
237(C22⋊D43)⋊C4—24no—
238#13063281—24no—
239#13063281—24no—
240#13063281D418yes—
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43—24no—
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43—24no—
291C2×C4×Dic43—24no—
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
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
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
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
346C25×C43C2311yescharacteristic
347C22×Q8×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353#124×C43—24no—
354C22⋊Q8×C43—24no—
355#120×C43—24no—
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43—24no—
360C2×C22⋊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×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43—22no—
386C24×C43—22no—
387C24×C43—22no—
388C24×C43—22no—
389C24×C43—22no—
390C24×C43—41no—
391C24×C43—41no—
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C24×C43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×Q8×C43—22no—
398C2×Q8×C43—22no—
399C2×Q8×C43—41no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—22no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
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
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
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—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
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—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—22no—
450C22×Dic43—22no—
451C22×Dic43—22no—
452C22×Dic43—22no—
453C22×Dic43—22no—
454C22×Dic43—22no—
455C22×Dic43—22no—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—22no—
460C22×Dic43—41no—
461C22×Dic43—41no—
462C22×Dic43—416no—
463C22×Dic43C2×D414yes—
464C22×Dic43#4114yes—
465C22×Dic43#4114yes—
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481#10621900—416no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×Dic86—22no—
486C2×Dic86—22no—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—22no—
490C2×Dic86—22no—
491C2×Dic86—22no—
492C2×Dic86—22no—
493C2×Dic86—22no—
494C2×Dic86—41no—
495C2×Dic86—41no—
496C2×Dic86—41no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43C2×D414yes—
516C22⋊C4×C43#4114yescomplemented
517C42×C43—22no—
518C42×C43—41no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—22no—
529C22⋊Dic43—22no—
530C22⋊Dic43—22no—
531C22⋊Dic43—22no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43—41no—
535C22⋊Dic43—41no—
536C22⋊Dic43C2×D414yes—
537C22⋊Dic43#4114yescomplemented
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548C4⋊Dic43—22no—
549C4⋊Dic43—22no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—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⋊C4C2×D414yes—
566Dic43⋊C4C2×D414yes—
567C4×Dic43—22no—
568C4×Dic43—22no—
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—41no—
583C4×Dic43—41no—
584C4×Dic43—41no—
585C4×Dic43C2×D414yes—
586C4×Dic43C2×D414yes—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—28no—
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×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—44no—
612C23×C43—44no—
613C23×C43—44no—
614C23×C43—44no—
615C23×C43—44no—
616C23×C43—44no—
617C23×C43C22×D412yes—
618C23×C43C2×#4112yes—
619C23×C43C2×#4112yes—
620C23×C43C2×#4112yes—
621C23×C43C2×#4112yes—
622C23×C43C2511yescharacteristic
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630Q8×C43—44no—
631D4×C43—44no—
632D4×C43—44no—
633D4×C43—44no—
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—44no—
664C2×C4×C43—44no—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C2×#4112yes—
668C2×C4×C43C2×#4112yes—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C2×Dic43—21no—
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—21no—
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—44no—
709C2×Dic43—44no—
710C2×Dic43—44no—
711C2×Dic43—44no—
712C2×Dic43—44no—
713C2×Dic43—44no—
714C2×Dic43—44no—
715C2×Dic43—44no—
716C2×Dic43#124116yescomplemented
717C2×Dic43C22×D412yes—
718C2×Dic43C22×D412yes—
719C2×Dic43C22×D412yes—
720C2×Dic43C22×D412yes—
721C2×Dic43C2×#4112yes—
722C2×Dic43C2×#4112yes—
723C2×Dic43C2×#4112yes—
724C2×Dic43C2×#4112yes—
725C2×Dic43C2×#4112yes—
726C2×Dic43C2×#4112yes—
727C4×D43—44no—
728Dic86—44no—
729Dic86—44no—
730Dic86—44no—
731Dic86—44no—
732#34813—431nomaximal, Sylow
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—22no—
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—416no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43C2×#12414yes—
762C22×C43C23×D411yescharacteristic
763C22×C43C22×#4111yescharacteristic
764C22×C43C22×#4111yescharacteristic
765C22×C43C22×#4111yescharacteristic
766C22×C43C22×#4111yescharacteristic
767C22×C43#58511yescharacteristic
768C22×C43#58511yescharacteristic
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43C2×#12414yes—
801Dic43C2×#12414yes—
802C2×#533—431no—
803C2×#525—431no—
804#2492—431no—
805#2492—431no—
806#2491—431no—
807#2491—431no—
808#2490—431no—
809#2490—431no—
810#2489—431no—
811#2489—431no—
812#2488—431no—
813#2488—431no—
814#2488—431no—
815#2488—431no—
816#2472—431no—
817#2472—431no—
818#2472—431no—
819#2472D4311yescharacteristic, complemented
820#2398—431no—
821#2398—431no—
822#2398—431no—
823#2398—431no—
824C4×#124—431no—
825C4×#124—431no—
826C4×#124—431no—
827C4×#124—431no—
828#2297—431no—
829#2297—431no—
830#2280—431no—
831C4×#117—431no—
832C2×C4×C22⋊C4—431no—
833C2×C43—24no—
834C2×C43—42no—
835C2×C43—42no—
836C2×C43—81no—
837C2×C43C22×#12411yescharacteristic
838C2×C43#344411yescharacteristic
839C2×C43#345511yescharacteristic
840C2×C43D4×#4111yescharacteristic
841C2×C43D4×#4111yescharacteristic
842C2×C43#347511yescharacteristic
843C2×C43#347511yescharacteristic
844D43—81no—
845C22×#41—431no—
846C24×C4—431no—
847#533—868no—
848C2×C4⋊Q8—431no—
849C2×C4⋊Q8—431no—
850C2×#125—431no—
851C2×#125—431no—
852C2×#124—431no—
853C2×#124—431no—
854C2×#124—431no—
855C2×#124C2×D4311yescharacteristic
856#525—868no—
857C2×#123—431no—
858C2×#123—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8—431no—
861C2×C22⋊Q8—431no—
862C2×C22⋊Q8—431no—
863C2×C22⋊Q8—431no—
864C2×C22⋊Q8C2×D4311yescharacteristic
865C2×#121—431no—
866C2×#121—431no—
867C2×#120—431no—
868C2×#120C2×D4311yescharacteristic
869C2×C4×Q8—431no—
870C2×C4×Q8—431no—
871C2×C4×Q8—431no—
872C2×C4×Q8—431no—
873C2×C4×D4—431no—
874C2×C4×D4—431no—
875C2×C4×D4—431no—
876C2×C4×D4—431no—
877C2×#117—431no—
878C2×#117—431no—
879C2×#117—431no—
880C22×C22⋊C4—431no—
881C22×C22⋊C4C2×D4311yescharacteristic
882C22×C42—431no—
883C22×C42—431no—
884#400—431no—
885#400—431no—
886#400—431no—
887#400—431no—
888#400—431no—
889#400—431no—
890#400—431no—
891#400—431no—
892#397—431no—
893#397—431no—
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397C2×D4311yescharacteristic
900#394—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#394—431no—
905#394—431no—
906#394C2×D4311yescharacteristic
907#394C2×D4311yescharacteristic
908#393—431no—
909#393—431no—
910#393—431no—
911#393—431no—
912#393—431no—
913#393—431no—
914#393—431no—
915#393C2×D4311yescharacteristic
916#391—431no—
917#391—431no—
918#391—431no—
919#391—431no—
920#391—431no—
921#391—431no—
922#391—431no—
923#391—431no—
924#390—431no—
925#390—431no—
926#390—431no—
927#390—431no—
928#390—431no—
929#390—431no—
930#390—431no—
931#390C2×D4311yescharacteristic
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388C2×D4311yescharacteristic
947#388C2×D4311yescharacteristic
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386C2×D4311yescharacteristic
955#386C2×D4311yescharacteristic
956#382—431no—
957#382—431no—
958#382—431no—
959#382—431no—
960#381—431no—
961#381—431no—
962#380—431no—
963#380—431no—
964#380—431no—
965#380—431no—
966#379—431no—
967#379C2×D4311yescharacteristic
968C4×C4⋊C4—431no—
969C4×C4⋊C4—431no—
970C4×C4⋊C4—431no—
971C4×C4⋊C4—431no—
972C4×C22⋊C4—431no—
973C4×C22⋊C4—431no—
974C4×C22⋊C4—431no—
975C4×C22⋊C4—431no—
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C4×C22⋊C4—431no—
980C4×C22⋊C4—431no—
981C4×C22⋊C4—431no—
982C4×C22⋊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⋊C4C2×D4311yescharacteristic
996#376—431no—
997#376—431no—
998C2×#95—431no—
999C2×#95—431no—
1000C43—431no—
1001C43—431no—
1002C43#3481311yescharacteristic, complemented, Sylow
1003C25C22×D4311yescharacteristic
1004C2×#41—864no—
1005C2×#41—864no—
1006C2×#41—864no—
1007C22×Q8—431no—
1008C22×Q8—431no—
1009C22×Q8—431no—
1010C22×Q8—431no—
1011C22×Q8C22×D4311yescharacteristic
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4C22×D4311yescharacteristic
1017C22×D4C22×D4311yescharacteristic
1018C22×D4C22×D4311yescharacteristic
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4—431no—
1029C23×C4—864no—
1030C23×C4—864no—
1031C23×C4—864no—
1032C23×C4C22×D4311yescharacteristic
1033C23×C4C22×D4311yescharacteristic
1034C4⋊Q8—864no—
1035C4⋊Q8—864no—
1036#125—864no—
1037#125—864no—
1038#124—24no—
1039#124—864no—
1040#124—864no—
1041#124—864no—
1042#123—864no—
1043#123—864no—
1044C22⋊Q8—24no—
1045C22⋊Q8—864no—
1046C22⋊Q8—864no—
1047C22⋊Q8—864no—
1048C22⋊Q8—864no—
1049C22⋊Q8—864no—
1050#121—864no—
1051#121—864no—
1052#120—24no—
1053#120—864no—
1054C4×Q8—864no—
1055C4×Q8—864no—
1056C4×Q8—864no—
1057C4×Q8—864no—
1058C4×D4—864no—
1059C4×D4—864no—
1060C4×D4—864no—
1061C4×D4—864no—
1062#117—438no—
1063#117—864no—
1064#117—864no—
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—431no—
1084C2×C4⋊C4C22×D4311yescharacteristic
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C22⋊C4—24no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
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—864no—
1118C2×C22⋊C4C22×D4311yescharacteristic
1119C2×C22⋊C4C22×D4311yescharacteristic
1120C2×C22⋊C4C22×D4311yescharacteristic
1121C2×C22⋊C4C22×D4311yescharacteristic
1122C2×C22⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1136C2×C42—431no—
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—431no—
1155C2×C42—864no—
1156C2×C42—864no—
1157C2×C42C22×D4311yescharacteristic
1158C2×C42C22×D4311yescharacteristic
1159#95—431no—
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#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197#95C22×D4311yescharacteristic
1198#95C22×D4311yescharacteristic
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—431no—
1207C24C23×D4311yescharacteristic
1208C24C23×D4311yescharacteristic
1209C24C23×D4311yescharacteristic
1210C24C23×D4311yescharacteristic
1211#41—17216no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—862no—
1216C2×Q8—862no—
1217C2×Q8—862no—
1218C2×Q8—862no—
1219C2×Q8—862no—
1220C2×Q8—862no—
1221C2×Q8—862no—
1222C2×Q8—862no—
1223C2×Q8—862no—
1224C2×Q8—1721no—
1225C2×Q8—1721no—
1226C2×Q8—1721no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—862no—
1237C2×D4—862no—
1238C2×D4—862no—
1239C2×D4—862no—
1240C2×D4—862no—
1241C2×D4—862no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—862no—
1245C2×D4—862no—
1246C2×D4—1721no—
1247C2×D4—1721no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—434no—
1255C22×C4—434no—
1256C22×C4—434no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
1270C22×C4—431no—
1271C22×C4—431no—
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—862no—
1285C22×C4—862no—
1286C22×C4—862no—
1287C22×C4—862no—
1288C22×C4—862no—
1289C22×C4—862no—
1290C22×C4—862no—
1291C22×C4—862no—
1292C22×C4—862no—
1293C22×C4—862no—
1294C22×C4—862no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—17216no—
1298C22×C4—1721no—
1299C22×C4—1721no—
1300C22×C4C23×D4311yescharacteristic
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4311yescharacteristic
1303C22×C4C23×D4311yescharacteristic
1304C22×C4C23×D4311yescharacteristic
1305C22×C4C23×D4311yescharacteristic
1306C22×C4C23×D4311yescharacteristic
1307C22×C4C23×D4311yescharacteristic
1308C22×C4C23×D4311yescharacteristic
1309C22×C4C23×D4311yescharacteristic
1310C22×C4C23×D4311yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—434no—
1315C4⋊C4—434no—
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—862no—
1330C4⋊C4—862no—
1331C4⋊C4—862no—
1332C4⋊C4—862no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—434no—
1349C22⋊C4—434no—
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—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4D4×D4314yes—
1378C22⋊C4#1062190014yescomplemented
1379C42—22no—
1380C42—41no—
1381C42—434no—
1382C42—434no—
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—862no—
1397C42—862no—
1398C42—1721no—
1399C42—1721no—
1400C42—1721no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—28no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23C2×D4×D4312yes—
1439C23#41×D4312yes—
1440C23#41×D4312yes—
1441C23#41×D4312yes—
1442C23C2×#1062190012yes—
1443C23C24×D4311yescharacteristic
1444Q8—44no—
1445Q8—1724no—
1446Q8—1724no—
1447Q8—1724no—
1448Q8—1724no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—1724no—
1453D4—1724no—
1454D4—1724no—
1455D4—1724no—
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—44no—
1486C2×C4—44no—
1487C2×C4—4316no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—432no—
1492C2×C4—432no—
1493C2×C4—432no—
1494C2×C4—432no—
1495C2×C4—432no—
1496C2×C4—432no—
1497C2×C4—432no—
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—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—1724no—
1534C2×C4—1724no—
1535C2×C4—1724no—
1536C2×C4—1724no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4—1724no—
1540C2×C4—1724no—
1541C2×C4—1724no—
1542C2×C4C2×D4×D4312yes—
1543C2×C4C2×D4×D4312yes—
1544C2×C4C2×#1062190012yes—
1545C2×C4C2×#1062190012yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—416no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22#124×D4314yes—
1582C22C22×D4×D4311yescharacteristic
1583C22C2×#41×D4311yescharacteristic
1584C22C2×#41×D4311yescharacteristic
1585C22C2×#41×D4311yescharacteristic
1586C22C22×#1062190011yescharacteristic
1587C22#1458373411yescharacteristic
1588C22#1458373411yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—434no—
1601C4—434no—
1602C4—862no—
1603C4—862no—
1604C4—862no—
1605C4—862no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—81no—
1619C2—3441no—
1620C2C2×#124×D4311yescharacteristic
1621C2#1914788711yescharacteristic
1622C2#1914797711yescharacteristic
1623C2D4×#1062190011yescharacteristic
1624C2#1914807911yescharacteristic
1625C2#1914814611yescharacteristic
1626C2#1914815011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2472C2
prime radicalC2×#14583405C2
hypercenter#2472D43
hypocenterC43#34813
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#14583451C2semidirect
3. #19138966C2semidirect
4. #19138962C2semidirect
5. #19138955C2semidirect
6. #19138951C2semidirect
7. #19138944C2semidirect
8. #19138940C2semidirect
9. #19138933C2semidirect
10. #19138929C2semidirect
11. #19138927C2semidirect
12. #19138923C2semidirect
13. #19138919C2semidirect
14. #19138915C2semidirect
15. #19138720C2semidirect
16. #19138718C2semidirect
17. #19138715C2semidirect
18. #19137883C2semidirect
19. #19137883C2semidirect
20. #19137880C2semidirect
21. #19137877C2semidirect
22. #19137142C2semidirect
23. #124×Dic43C2semidirect
24. #19137136C2semidirect
25. #19137136C2semidirect
26. #19137080C2semidirect
27. #19137080C2semidirect
28. #19136973C2semidirect
29. C4×#13063281C2semidirect
30. C2×C22⋊C4×Dic43C2semidirect
31. C43×#2472C2semidirect
35. C2×#13063324C22semidirect
36. C2×#13063323C22semidirect
37. C2×#13063315C22semidirect
38. C2×#13063315C22semidirect
53. C2×Q8×Dic43C22semidirect
54. C2×#13063290C22semidirect
55. C2×#13063290C22semidirect
56. C2×#13063290C22semidirect
67. #14582841C22semidirect
68. #14582841C22semidirect
69. #14582840C22semidirect
70. #14582840C22semidirect
71. #14582839C22semidirect
72. #14582839C22semidirect
73. #14582838C22semidirect
74. #14582838C22semidirect
77. #14582827C22semidirect
78. #14582827C22semidirect
79. #14582826C22semidirect
80. #14582825C22semidirect
88. #14582812C22semidirect
92. #14582811C22semidirect
93. #14582811C22semidirect
94. #14582810C22semidirect
95. #14582806C22semidirect
96. #14582805C22semidirect
97. #14582803C22semidirect
98. #14582803C22semidirect
99. #14582803C22semidirect
100. #14582803C22semidirect
101. #14582803C22semidirect
102. #14582803C22semidirect
106. #14582799C22semidirect
107. #14582799C22semidirect
108. #14582799C22semidirect
109. #14582799C22semidirect
114. #14582792C22semidirect
115. #14582792C22semidirect
116. #14582790C22semidirect
117. #14582790C22semidirect
118. #14582789C22semidirect
119. #14582789C22semidirect
122. #14582787C22semidirect
123. #14582787C22semidirect
130. #14582765C22semidirect
131. #14582764C22semidirect
132. #14582763C22semidirect
133. #14582763C22semidirect
141. C4×Dic43⋊C4C22semidirect
142. C4×Dic43⋊C4C22semidirect
143. #14582750C22semidirect
144. #14582750C22semidirect
159. C22⋊C4×Dic43C22semidirect
160. C22⋊C4×Dic43C22semidirect
161. C22⋊C4×Dic43C22semidirect
162. C22⋊C4×Dic43C22semidirect
164. #14582746C22semidirect
165. #14582746C22semidirect
166. #14582746C22semidirect
167. #14582746C22semidirect
168. #14582744C22semidirect
169. #14582744C22semidirect
172. C42×Dic43C22semidirect
173. C42×Dic43C22semidirect
516. C22⋊C4×C43#41semidirect
537. C22⋊Dic43#41semidirect
716. C2×Dic43#124semidirect
819. #2472D43semidirect
1002. C43#34813semidirect
1378. C22⋊C4#10621900semidirect

Maximal subgroups

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

subgroupindex
C2×#145834512
C2×#145834052
#191389662
#191389622
#191389552
#191389512
#191389442
#191389402
#191389332
#191389292
#191389272
#191389232
#191389192
#191389152
#191387202
#191387182
#191387152
#191378832
#191378802
#191378772
#191371422
#124×Dic432
#191371362
#191370802
#191369732
C4×#130632812
C2×C22⋊C4×Dic432
C43×#24722
#3481343