Finite Group Databasebeta

← #25259959

Subgroups — #25259959

Order 11008.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583465C211yesmaximal, characteristic
2#19137770C211yesmaximal, characteristic, complemented
3#19137764C211yesmaximal, characteristic, complemented
4#19137754C211yesmaximal, characteristic, complemented
5#19137750C211yesmaximal, characteristic, complemented
6#19137703C211yesmaximal, characteristic, complemented
7#19137656C211yesmaximal, characteristic, complemented
8#19137645C211yesmaximal, characteristic, complemented
9#19137641C211yesmaximal, characteristic, complemented
10#19137577C211yesmaximal, characteristic, complemented
11#19137576C211yesmaximal, characteristic, complemented
12#19137575C211yesmaximal, characteristic, complemented
13#19137573C211yesmaximal, characteristic, complemented
14#19137454C211yesmaximal, characteristic, complemented
15#19137450C211yesmaximal, characteristic, complemented
16#19137426C211yesmaximal, characteristic, complemented
17#19137419C211yesmaximal, characteristic, complemented
18#19137403C211yesmaximal, characteristic, complemented
19#19137402C211yesmaximal, characteristic, complemented
20#19137356C211yesmaximal, characteristic, complemented
21#19137319C211yesmaximal, characteristic, complemented
22#19137316C211yesmaximal, characteristic, complemented
23#19137300C211yesmaximal, characteristic, complemented
24#19137297C211yesmaximal, characteristic, complemented
25#19137257C211yesmaximal, characteristic, complemented
26#19137254C211yesmaximal, characteristic, complemented
27#19137169C211yesmaximal, characteristic, complemented
28#19137100C211yesmaximal, characteristic, complemented
29C4×#13063295C211yesmaximal, characteristic, complemented
30#386×D43C211yesmaximal, characteristic, complemented
31C43×#2333C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35#14583465C4116yescomplemented
36C2×#13063321C2211yescharacteristic
37C2×#13063321C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic
40C2×#13063300C2211yescharacteristic
41C2×#13063299C2211yescharacteristic
42C2×#13063296C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×C4×D172C2211yescharacteristic
48C2×C4×D172C2211yescharacteristic
49C2×C4×D172C2211yescharacteristic, complemented
50C2×D4×Dic43C2211yescharacteristic, complemented
51C2×D4×Dic43C2211yescharacteristic, complemented
52C2×#13063287C2211yescharacteristic, complemented
53C2×C4×C22⋊D43C2211yescharacteristic, complemented
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×(C22⋊D43)⋊C4C2211yescharacteristic
56C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
57C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
59C2×#13063283C2211yescharacteristic
60C22×(C2×D43)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65#14582805C2211yescharacteristic, complemented
66#14582805C2211yescharacteristic, complemented
67#14582803C2211yescharacteristic, complemented
68#14582803C2211yescharacteristic, complemented
69#14582801C2211yescharacteristic, complemented
70#14582800C2211yescharacteristic, complemented
71#14582799C2211yescharacteristic, complemented
72#14582799C2211yescharacteristic, complemented
73#14582799C2211yescharacteristic, complemented
74#14582799C2211yescharacteristic, complemented
75#14582793C2211yescharacteristic, complemented
76#14582793C2211yescharacteristic, complemented
77#14582792C2211yescharacteristic, complemented
78#14582792C2211yescharacteristic, complemented
79#14582791C2211yescharacteristic, complemented
80#14582791C2211yescharacteristic, complemented
81#14582791C2211yescharacteristic, complemented
82#14582790C2211yescharacteristic, complemented
83#14582790C2211yescharacteristic, complemented
84#14582790C2211yescharacteristic, complemented
85#14582789C2211yescharacteristic, complemented
86#14582788C2211yescharacteristic, complemented
87#14582787C2211yescharacteristic, complemented
88#14582787C2211yescharacteristic, complemented
89#14582785C2211yescharacteristic, complemented
90#14582785C2211yescharacteristic, complemented
91#14582784C2211yescharacteristic, complemented
92#14582784C2211yescharacteristic, complemented
93#14582782C2211yescharacteristic, complemented
94#14582782C2211yescharacteristic, complemented
95#14582779C2211yescharacteristic
96#14582779C2211yescharacteristic
97#14582779C2211yescharacteristic, complemented
98#14582779C2211yescharacteristic, complemented
99#14582778C2211yescharacteristic
100#14582778C2211yescharacteristic
101#14582778C2211yescharacteristic, complemented
102#14582777C2211yescharacteristic
103#14582777C2211yescharacteristic
104#14582777C2211yescharacteristic
105#14582777C2211yescharacteristic
106#14582777C2211yescharacteristic
107#14582777C2211yescharacteristic
108#14582777C2211yescharacteristic, complemented
109#14582777C2211yescharacteristic, complemented
110#14582777C2211yescharacteristic, complemented
111#14582777C2211yescharacteristic, complemented
112#14582776C2211yescharacteristic
113#14582776C2211yescharacteristic
114#14582776C2211yescharacteristic, complemented
115#14582776C2211yescharacteristic, complemented
116#14582776C2211yescharacteristic, complemented
117#14582776C2211yescharacteristic, complemented
118#14582776C2211yescharacteristic, complemented
119#14582775C2211yescharacteristic
120#14582775C2211yescharacteristic
121#14582775C2211yescharacteristic
122#14582775C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582775C2211yescharacteristic, complemented
126#14582775C2211yescharacteristic, complemented
127#14582775C2211yescharacteristic, complemented
128#14582775C2211yescharacteristic, complemented
129#14582775C2211yescharacteristic, complemented
130#14582775C2211yescharacteristic, complemented
131#14582774C2211yescharacteristic, complemented
132#14582774C2211yescharacteristic, complemented
133#14582773C2211yescharacteristic
134#14582773C2211yescharacteristic
135#14582773C2211yescharacteristic, complemented
136#14582773C2211yescharacteristic, complemented
137#14582773C2211yescharacteristic, complemented
138#14582772C2211yescharacteristic, complemented
139#14582771C2211yescharacteristic, complemented
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic, complemented
143#14582766C2211yescharacteristic, complemented
144#14582766C2211yescharacteristic, complemented
145#14582764C2211yescharacteristic, complemented
146#14582763C2211yescharacteristic, complemented
147#14582761C2211yescharacteristic
148#14582761C2211yescharacteristic
149#14582761C2211yescharacteristic, complemented
150#14582759C2211yescharacteristic, complemented
151#14582758C2211yescharacteristic, complemented
152#14582754C2211yescharacteristic
153#14582754C2211yescharacteristic
154C4⋊C4×Dic43C2211yescharacteristic, complemented
155C4×Dic43⋊C4C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic, complemented
157C4×(C2×D43)⋊C4C2211yescharacteristic
158C4×(C2×D43)⋊C4C2211yescharacteristic
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic43C2211yescharacteristic, complemented
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic, complemented
166#14582746C2211yescharacteristic, complemented
167#14582745C2211yescharacteristic, complemented
168#14582744C2211yescharacteristic, complemented
169C2×C43⋊#95C2211yescharacteristic, complemented
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic, complemented
173C2×#121×C43C2211yescharacteristic
174C43×#390C2211yescharacteristic, complemented
175C43×#390C2211yescharacteristic, complemented
176C43×#388C2211yescharacteristic, complemented
177C43×#388C2211yescharacteristic, complemented
178C43×#387C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#386C2211yescharacteristic
181C43×#386C2211yescharacteristic
182C43×#386C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621898—42no—
191C2×#10621898—42no—
192C2×#10621898C2×C418yescomplemented
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C2×D4×D43—42no—
207C2×D4×D43—42no—
208C2×D4×D43C2×C418yescomplemented
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228#13063321C2×C418yescomplemented
229#13063321C2×C418yescomplemented
230#13063311C2×C418yescomplemented
231#13063311C2×C418yescomplemented
232#13063300C2×C418yescomplemented
233#13063299C2×C418yescomplemented
234#13063296C2×C418yescomplemented
235#13063295C2×C418yescomplemented
236#13063295C2×C418yescomplemented
237#13063293C2×C418yescomplemented
238#13063293C2×C418yescomplemented
239C4×D172—42no—
240C4×D172—42no—
241C4×D172—42no—
242D4×Dic43—42no—
243D4×Dic43—42no—
244#13063287—42no—
245C4×C22⋊D43—42no—
246(C22⋊D43)⋊C4—42no—
247(C22⋊D43)⋊C4—42no—
248(C22⋊D43)⋊C4—42no—
249(C22⋊D43)⋊C4—42no—
250(C22⋊D43)⋊C4—42no—
251#13063283C2×C418yescomplemented
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4—42no—
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
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×(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
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C22⋊C4×D43—42no—
303C22⋊C4×D43—42no—
304C22⋊C4×D43—42no—
305C22⋊C4×D43—42no—
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
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
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352#121×C43C2×C418yescomplemented
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
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×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382C24×C43C2411yescharacteristic
383C24×C43C2411yescharacteristic
384C24×C43C2411yescharacteristic
385C23×D43—22no—
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—41no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43—41no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43C22×C414yes—
398C23×D43C22×C414yes—
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43C22×C414yes—
410C2×D4×C43C22×C414yes—
411C2×D4×C43C22×C414yescomplemented
412C22×C4×C43—22no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43C22×C414yescomplemented
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43C22×C414yes—
450C2×C22⋊D43C22×C414yes—
451C2×C22⋊D43C22×C414yes—
452C2×C22⋊D43C22×C414yes—
453C2×C22⋊D43C22×C414yes—
454C2×C22⋊D43C22×C414yescomplemented
455C2×C22⋊D43C22×C414yescomplemented
456C2×C22⋊D43C22×C414yescomplemented
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—41no—
460C22×Dic43—41no—
461C22×Dic43—41no—
462C22×Dic43—41no—
463C22×Dic43—41no—
464C22×Dic43—41no—
465C22×Dic43—41no—
466C22×Dic43—41no—
467C22×Dic43—41no—
468C22×Dic43—41no—
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481D4×D43—416no—
482#10621898—416no—
483C2×D172—22no—
484C2×D172—22no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172C22×C414yes—
492C2×D172C22×C414yes—
493C2×D172C22×C414yes—
494C2×D172C22×C414yescomplemented
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—41no—
507C2×C4×D43—41no—
508C2×C4×D43—41no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—416no—
530C2×C4×D43C22×C414yes—
531C2×C4×D43C22×C414yescomplemented
532C2×Dic86—41no—
533C2×Dic86—41no—
534C2×Dic86C22×C414yescomplemented
535C4⋊C4×C43—41no—
536C4⋊C4×C43—41no—
537C4⋊C4×C43C22×C414yescomplemented
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—41no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C22⋊C4×C43—41no—
544C22⋊C4×C43—41no—
545C22⋊C4×C43—41no—
546C22⋊C4×C43—41no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43C22×C414yes—
549C22⋊C4×C43C22×C414yescomplemented
550C42×C43—41no—
551C42×C43—41no—
552C42×C43—41no—
553C42×C43—41no—
554C22⋊Dic43—22no—
555C22⋊Dic43—41no—
556C22⋊Dic43—41no—
557C22⋊Dic43—41no—
558C22⋊Dic43—41no—
559C22⋊Dic43—41no—
560C22⋊Dic43—41no—
561C22⋊Dic43—41no—
562C22⋊Dic43C22×C414yes—
563C22⋊Dic43C22×C414yescomplemented
564(C2×D43)⋊C4—22no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4—41no—
577(C2×D43)⋊C4—41no—
578(C2×D43)⋊C4—41no—
579(C2×D43)⋊C4—41no—
580(C2×D43)⋊C4—41no—
581(C2×D43)⋊C4—41no—
582(C2×D43)⋊C4—41no—
583(C2×D43)⋊C4—41no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4C22×C414yes—
587(C2×D43)⋊C4C22×C414yes—
588(C2×D43)⋊C4C22×C414yes—
589(C2×D43)⋊C4C22×C414yes—
590(C2×D43)⋊C4C22×C414yescomplemented
591(C2×D43)⋊C4C22×C414yescomplemented
592C4⋊Dic43—22no—
593C4⋊Dic43—41no—
594C4⋊Dic43—41no—
595C4⋊Dic43—41no—
596C4⋊Dic43C22×C414yescomplemented
597Dic43⋊C4—22no—
598Dic43⋊C4—41no—
599Dic43⋊C4—41no—
600Dic43⋊C4—41no—
601Dic43⋊C4—41no—
602Dic43⋊C4—41no—
603C4×Dic43—22no—
604C4×Dic43—22no—
605C4×Dic43—41no—
606C4×Dic43—41no—
607C4×Dic43—41no—
608C4×Dic43—41no—
609C4×Dic43—41no—
610C4×Dic43—41no—
611C4×Dic43C22×C414yescomplemented
612C4×Dic43C22×C414yescomplemented
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43C23×C412yes—
632C23×C43C23×C412yes—
633C23×C43C23×C412yes—
634C23×C43C2511yescharacteristic
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—28no—
658C22×D43—28no—
659C22×D43—44no—
660C22×D43—44no—
661C22×D43—44no—
662C22×D43—44no—
663C22×D43—44no—
664C22×D43—44no—
665C22×D43—44no—
666C22×D43—44no—
667C22×D43—82no—
668C22×D43—82no—
669C22×D43—82no—
670C22×D43—82no—
671C22×D43C23×C412yes—
672C22×D43C23×C412yes—
673C22×D43C23×C412yes—
674C22×D43C23×C412yes—
675C22×D43H(5,𝔽2)12yes—
676C22×D43H(5,𝔽2)12yes—
677D4×C43—44no—
678D4×C43—44no—
679D4×C43—44no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—82no—
714C2×C4×C43C23×C412yes—
715C2×C4×C43C23×C412yes—
716C2×C4×C43C23×C412yes—
717C2×C4×C43C23×C412yes—
718C2×C4×C43H(5,𝔽2)12yes—
719C22⋊D43—28no—
720C22⋊D43—44no—
721C22⋊D43—44no—
722C22⋊D43—44no—
723C22⋊D43—44no—
724C22⋊D43—44no—
725C22⋊D43—44no—
726C22⋊D43—44no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—44no—
759C2×Dic43—82no—
760C2×Dic43—82no—
761C2×Dic43—82no—
762C2×Dic43C23×C412yes—
763C2×Dic43C23×C412yes—
764C2×Dic43C23×C412yes—
765C2×Dic43C23×C412yes—
766C2×Dic43H(5,𝔽2)12yes—
767D172—28no—
768D172—44no—
769D172—44no—
770D172—44no—
771C4×D43—28no—
772C4×D43—44no—
773C4×D43—44no—
774C4×D43—44no—
775C4×D43—44no—
776C4×D43—44no—
777C4×D43—82no—
778C4×D43—82no—
779C4×D43—82no—
780C4×D43—82no—
781C4×D43—82no—
782C4×D43—82no—
783Dic86—44no—
784#34406—431nomaximal, Sylow
785C22×C43—22no—
786C22×C43—22no—
787C22×C43—22no—
788C22×C43—22no—
789C22×C43—22no—
790C22×C43—22no—
791C22×C43—22no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C24×C411yescharacteristic
807C22×C43C2×H(5,𝔽2)11yescharacteristic
808C22×C43C2×H(5,𝔽2)11yescharacteristic
809C22×C43C2×H(5,𝔽2)11yescharacteristic
810C22×C43C2×H(5,𝔽2)11yescharacteristic
811C22×C43#58511yescharacteristic
812C22×C43#58511yescharacteristic
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—22no—
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—22no—
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—416no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—88no—
842C2×D43#51814yes—
843C4×C43—22no—
844C4×C43—22no—
845C4×C43—22no—
846C4×C43—22no—
847C4×C43—22no—
848C4×C43—41no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855Dic43—22no—
856Dic43—22no—
857Dic43—22no—
858Dic43—22no—
859Dic43—22no—
860Dic43—41no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867C2×#535—431no—
868#2380—431no—
869#2379—431no—
870#2377—431no—
871#2377—431no—
872#2372—431no—
873#2366—431no—
874#2364—431no—
875#2364—431no—
876#2358—431no—
877#2358—431no—
878#2358—431no—
879#2358—431no—
880#2343—431no—
881#2343—431no—
882#2339—431no—
883#2339—431no—
884#2337—431no—
885#2337—431no—
886#2333—431no—
887#2333D4311yescharacteristic, complemented
888#2328—431no—
889#2328—431no—
890#2325—431no—
891#2325—431no—
892#2321—431no—
893#2321—431no—
894#2308—431no—
895C4×#120—431no—
896C4×#120—431no—
897C2×#386—431no—
898C2×C43—42no—
899C2×C43—42no—
900C2×C43—42no—
901C2×C43C2×#51811yescharacteristic
902C2×C43C4×H(5,𝔽2)11yescharacteristic
903C2×C43C4×H(5,𝔽2)11yescharacteristic
904C2×C43#353211yescharacteristic
905C2×C43#353311yescharacteristic
906C2×C43#354211yescharacteristic
907C2×C43#354211yescharacteristic
908D43—24no—
909D43—42no—
910D43—42no—
911D43—42no—
912C22×#41—431no—
913C23×D4—431no—
914C24×C4—431no—
915#535—4316no—
916C2×#127—431no—
917C2×#127—431no—
918C2×#124—431no—
919C2×#124—431no—
920C2×#121—431no—
921C2×#121—431no—
922C2×#121—431no—
923C2×#121C2×D4311yescharacteristic
924C2×#120—431no—
925C2×#120—431no—
926C2×#120—431no—
927C2×#120—431no—
928C2×C4×D4—431no—
929C2×C4×D4—431no—
930C2×C4×D4—431no—
931C2×C4×D4—431no—
932C2×C4×D4—431no—
933C2×C4×D4—431no—
934C2×C4×D4—431no—
935C2×C4×D4—431no—
936C2×C4×D4—431no—
937C2×C4×D4—431no—
938C2×C4×D4—431no—
939C2×C4×D4—431no—
940C2×#117—431no—
941C22×C22⋊C4—431no—
942C22×C22⋊C4—431no—
943C22×C22⋊C4—431no—
944C22×C22⋊C4—431no—
945C22×C22⋊C4—431no—
946#391—431no—
947#391—431no—
948#391—431no—
949#391—431no—
950#390—431no—
951#390—431no—
952#390—431no—
953#390—431no—
954#390—431no—
955#390—431no—
956#390C2×D4311yescharacteristic, complemented
957#390C2×D4311yescharacteristic, complemented
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388C2×D4311yescharacteristic, complemented
973#388C2×D4311yescharacteristic, complemented
974#387—431no—
975#387—431no—
976#387—431no—
977#387—431no—
978#387—431no—
979#387—431no—
980#387C2×D4311yescharacteristic, complemented
981#387C2×D4311yescharacteristic, complemented
982#386—431no—
983#386—431no—
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386—431no—
1000#386—431no—
1001#386—431no—
1002#386—431no—
1003#386—431no—
1004#386—431no—
1005#386—431no—
1006#386—431no—
1007#386—431no—
1008#386—431no—
1009#386—431no—
1010#386—431no—
1011#386—431no—
1012#386—431no—
1013#386—431no—
1014#386—431no—
1015#386—431no—
1016#386—431no—
1017#386—431no—
1018#386C2×D4311yescharacteristic
1019#386C2×D4311yescharacteristic
1020#386C2×D4311yescharacteristic, complemented
1021#386C2×D4311yescharacteristic, complemented
1022#385—431no—
1023#385—431no—
1024#385—431no—
1025#385—431no—
1026#385—431no—
1027#385—431no—
1028#385—431no—
1029#385—431no—
1030#385—431no—
1031#385—431no—
1032#385—431no—
1033#385—431no—
1034#383—431no—
1035#383—431no—
1036#382—431no—
1037#382—431no—
1038#381—431no—
1039#381—431no—
1040#381—431no—
1041#381C2×D4311yescharacteristic, complemented
1042#380—431no—
1043#380—431no—
1044#379—431no—
1045#379—431no—
1046C4×C4⋊C4—431no—
1047C4×C4⋊C4—431no—
1048C4×C22⋊C4—431no—
1049C4×C22⋊C4—431no—
1050C4×C22⋊C4—431no—
1051C4×C22⋊C4—431no—
1052C4×C22⋊C4—431no—
1053C4×C22⋊C4—431no—
1054C4×C22⋊C4—431no—
1055C4×C22⋊C4—431no—
1056C4×C22⋊C4—431no—
1057C4×C22⋊C4—431no—
1058C4×C22⋊C4—431no—
1059C4×C22⋊C4C2×D4311yescharacteristic, complemented
1060C4×C22⋊C4C2×D4311yescharacteristic, complemented
1061C4×C22⋊C4C2×D4311yescharacteristic, complemented
1062#376—431no—
1063#376—431no—
1064C2×#95—431no—
1065C2×#95—431no—
1066C2×#95—431no—
1067C2×#95—431no—
1068C43#3440611yescharacteristic, complemented, Sylow
1069C25—431no—
1070C25—431no—
1071C2×#41—438no—
1072C2×#41—1722no—
1073C2×#41—1722no—
1074C22×Q8—431no—
1075C22×D4—431no—
1076C22×D4—431no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—438no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—431no—
1087C22×D4—431no—
1088C22×D4—1722no—
1089C22×D4—1722no—
1090C22×D4C22×D4311yescharacteristic
1091C22×D4C22×D4311yescharacteristic
1092C22×D4C22×D4311yescharacteristic
1093C23×C4—431no—
1094C23×C4—431no—
1095C23×C4—431no—
1096C23×C4—431no—
1097C23×C4—431no—
1098C23×C4—431no—
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—431no—
1104C23×C4—431no—
1105C23×C4—431no—
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—431no—
1109C23×C4—1722no—
1110C23×C4—1722no—
1111C23×C4—1722no—
1112C23×C4C22×D4311yescharacteristic
1113C23×C4C22×D4311yescharacteristic
1114C23×C4C22×D4311yescharacteristic
1115#127—438no—
1116#127—438no—
1117#124—438no—
1118#124—438no—
1119#121—438no—
1120#121—438no—
1121#121—438no—
1122#121C4×D4318yescomplemented
1123#120—438no—
1124#120—438no—
1125#120—438no—
1126#120—438no—
1127C4×D4—1722no—
1128C4×D4—1722no—
1129C4×D4—1722no—
1130C4×D4—1722no—
1131C4×D4—1722no—
1132C4×D4—1722no—
1133C4×D4—1722no—
1134C4×D4—1722no—
1135C4×D4—1722no—
1136C4×D4—1722no—
1137C4×D4—1722no—
1138C4×D4—1722no—
1139#117—438no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—431no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C4⋊C4—431no—
1148C2×C4⋊C4—431no—
1149C2×C4⋊C4—431no—
1150C2×C4⋊C4—431no—
1151C2×C4⋊C4C22×D4311yescharacteristic
1152C2×C4⋊C4C22×D4311yescharacteristic
1153C2×C4⋊C4C22×D4311yescharacteristic
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—1722no—
1193C2×C22⋊C4—1722no—
1194C2×C22⋊C4—1722no—
1195C2×C22⋊C4—1722no—
1196C2×C22⋊C4—1722no—
1197C2×C22⋊C4C22×D4311yescharacteristic
1198C2×C22⋊C4C22×D4311yescharacteristic
1199C2×C22⋊C4C22×D4311yescharacteristic
1200C2×C22⋊C4C22×D4311yescharacteristic
1201C2×C22⋊C4C22×D4311yescharacteristic
1202C2×C22⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4C22×D4311yescharacteristic
1205C2×C22⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4C22×D4311yescharacteristic
1208C2×C22⋊C4C22×D4311yescharacteristic
1209C2×C42—431no—
1210C2×C42—431no—
1211C2×C42—431no—
1212C2×C42—431no—
1213C2×C42—431no—
1214C2×C42—431no—
1215C2×C42—431no—
1216C2×C42—431no—
1217C2×C42—431no—
1218C2×C42—431no—
1219C2×C42C22×D4311yescharacteristic
1220C2×C42C22×D4311yescharacteristic
1221C2×C42C22×D4311yescharacteristic
1222C2×C42C22×D4311yescharacteristic
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95C22×D4311yescharacteristic
1254#95C22×D4311yescharacteristic
1255#95C22×D4311yescharacteristic
1256#95C22×D4311yescharacteristic
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260#95C22×D4311yescharacteristic
1261#95C22×D4311yescharacteristic
1262#95C22×D4311yescharacteristic
1263C24—431no—
1264C24—431no—
1265C24—431no—
1266C24—431no—
1267C24—434no—
1268C24—434no—
1269C24—862no—
1270C24—862no—
1271C24—862no—
1272C24—862no—
1273C24—1721no—
1274C24—1721no—
1275C24—1721no—
1276C24—1721no—
1277C24—1721no—
1278C24—1721no—
1279C24—1721no—
1280C24—1721no—
1281C24C23×D4311yescharacteristic
1282C24C23×D4311yescharacteristic
1283C24C23×D4311yescharacteristic
1284#41—17216no—
1285C2×Q8—434no—
1286C2×Q8—1721no—
1287C2×Q8—1721no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—434no—
1295C2×D4—434no—
1296C2×D4—434no—
1297C2×D4—434no—
1298C2×D4—434no—
1299C2×D4—434no—
1300C2×D4—434no—
1301C2×D4—434no—
1302C2×D4—434no—
1303C2×D4—434no—
1304C2×D4—434no—
1305C2×D4—434no—
1306C2×D4—862no—
1307C2×D4—862no—
1308C2×D4—862no—
1309C2×D4—862no—
1310C2×D4—1721no—
1311C2×D4—1721no—
1312C2×D4—1721no—
1313C2×D4—1721no—
1314C2×D4—1721no—
1315C2×D4—1721no—
1316C2×D4—17216no—
1317C2×D4—1721no—
1318C2×D4—1721no—
1319C2×D4—1721no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4—1721no—
1324C2×D4—1721no—
1325C2×D4—1721no—
1326C2×D4—1721no—
1327C2×D4—1721no—
1328C2×D4—1721no—
1329C2×D4—1721no—
1330C2×D4—1721no—
1331C2×D4C2×C4×D4314yes—
1332C2×D4C2×C4×D4314yes—
1333C2×D4C2×C4×D4314yescomplemented
1334C22×C4—22no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—434no—
1348C22×C4—434no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
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×C4—1721no—
1378C22×C4—1721no—
1379C22×C4—1721no—
1380C22×C4—1721no—
1381C22×C4—1721no—
1382C22×C4—1721no—
1383C22×C4—1721no—
1384C22×C4—1721no—
1385C22×C4—1721no—
1386C22×C4—1721no—
1387C22×C4—1721no—
1388C22×C4—1721no—
1389C22×C4—1721no—
1390C22×C4—1721no—
1391C22×C4—1721no—
1392C22×C4—17216no—
1393C22×C4—1721no—
1394C22×C4—1721no—
1395C22×C4—1721no—
1396C22×C4—1721no—
1397C22×C4—1721no—
1398C22×C4—1721no—
1399C22×C4—1721no—
1400C22×C4—1721no—
1401C22×C4—1721no—
1402C22×C4—1721no—
1403C22×C4C2×C4×D4314yescomplemented
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406C22×C4C23×D4311yescharacteristic
1407C22×C4C23×D4311yescharacteristic
1408C22×C4C23×D4311yescharacteristic
1409C22×C4C23×D4311yescharacteristic
1410C22×C4C23×D4311yescharacteristic
1411C22×C4C23×D4311yescharacteristic
1412C22×C4C23×D4311yescharacteristic
1413C22×C4C23×D4311yescharacteristic
1414C22×C4C23×D4311yescharacteristic
1415C22×C4C23×D4311yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—434no—
1419C4⋊C4—862no—
1420C4⋊C4—862no—
1421C4⋊C4—1721no—
1422C4⋊C4—1721no—
1423C4⋊C4—1721no—
1424C4⋊C4—1721no—
1425C4⋊C4—1721no—
1426C4⋊C4—1721no—
1427C4⋊C4—1721no—
1428C4⋊C4—1721no—
1429C4⋊C4C2×C4×D4314yescomplemented
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—434no—
1441C22⋊C4—434no—
1442C22⋊C4—434no—
1443C22⋊C4—434no—
1444C22⋊C4—434no—
1445C22⋊C4—434no—
1446C22⋊C4—434no—
1447C22⋊C4—434no—
1448C22⋊C4—862no—
1449C22⋊C4—862no—
1450C22⋊C4—862no—
1451C22⋊C4—862no—
1452C22⋊C4—862no—
1453C22⋊C4—862no—
1454C22⋊C4—862no—
1455C22⋊C4—862no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C22⋊C4—1721no—
1460C22⋊C4—1721no—
1461C22⋊C4—1721no—
1462C22⋊C4—1721no—
1463C22⋊C4—1721no—
1464C22⋊C4—1721no—
1465C22⋊C4—1721no—
1466C22⋊C4—1721no—
1467C22⋊C4—1721no—
1468C22⋊C4—1721no—
1469C22⋊C4—1721no—
1470C22⋊C4—1721no—
1471C22⋊C4—1721no—
1472C22⋊C4—1721no—
1473C22⋊C4—1721no—
1474C22⋊C4—1721no—
1475C22⋊C4—1721no—
1476C22⋊C4—1721no—
1477C22⋊C4—1721no—
1478C22⋊C4C2×C4×D4314yes—
1479C22⋊C4C2×C4×D4314yescomplemented
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—434no—
1485C42—434no—
1486C42—862no—
1487C42—862no—
1488C42—1721no—
1489C42—1721no—
1490C42—1721no—
1491C42—1721no—
1492C42—1721no—
1493C42—1721no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—432no—
1513C23—432no—
1514C23—432no—
1515C23—432no—
1516C23—432no—
1517C23—432no—
1518C23—868no—
1519C23—868no—
1520C23—861no—
1521C23—861no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—861no—
1528C23—861no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—3442no—
1543C23—3442no—
1544C23—3442no—
1545C23—3442no—
1546C23—1724no—
1547C23—1724no—
1548C23—1724no—
1549C23—1724no—
1550C23—1724no—
1551C23—1724no—
1552C23—1724no—
1553C23—1724no—
1554C23C22×C4×D4312yes—
1555C23C22×C4×D4312yes—
1556C23C22×C4×D4312yes—
1557C23C24×D4311yescharacteristic
1558Q8—1724no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—868no—
1563D4—868no—
1564D4—1724no—
1565D4—1724no—
1566D4—1724no—
1567D4—1724no—
1568D4—1724no—
1569D4—1724no—
1570D4—1724no—
1571D4—1724no—
1572D4—1724no—
1573D4—1724no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—82no—
1608C2×C4—432no—
1609C2×C4—432no—
1610C2×C4—432no—
1611C2×C4—432no—
1612C2×C4—432no—
1613C2×C4—868no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—3442no—
1646C2×C4—3442no—
1647C2×C4—3442no—
1648C2×C4—3442no—
1649C2×C4—3442no—
1650C2×C4—3442no—
1651C2×C4—3442no—
1652C2×C4—3442no—
1653C2×C4—3442no—
1654C2×C4—1724no—
1655C2×C4—1724no—
1656C2×C4—1724no—
1657C2×C4—1724no—
1658C2×C4—1724no—
1659C2×C4—1724no—
1660C2×C4C22×C4×D4312yes—
1661C2×C4C22×C4×D4312yes—
1662C2×C4C22×C4×D4312yes—
1663C2×C4C22×C4×D4312yes—
1664C2×C4#1306337112yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—434no—
1687C22—862no—
1688C22—862no—
1689C22—862no—
1690C22—862no—
1691C22—862no—
1692C22—862no—
1693C22—862no—
1694C22—862no—
1695C22—862no—
1696C22—862no—
1697C22—862no—
1698C22—862no—
1699C22—862no—
1700C22—862no—
1701C22—862no—
1702C22—3448no—
1703C22—17216no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22C23×C4×D4311yescharacteristic
1717C22H(5,𝔽2)×D4311yescharacteristic
1718C22H(5,𝔽2)×D4311yescharacteristic
1719C22H(5,𝔽2)×D4311yescharacteristic
1720C22C2×#1306337111yescharacteristic
1721C22#1458373411yescharacteristic
1722C22#1458373511yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—862no—
1736C4—862no—
1737C4—862no—
1738C4—862no—
1739C4—862no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—864no—
1751C2—1722no—
1752C2—1722no—
1753C2—1722no—
1754C2#518×D4311yescharacteristic
1755C2#1914779911yescharacteristic
1756C2C4×#1306337111yescharacteristic
1757C2#1914874611yescharacteristic
1758C2#1914876211yescharacteristic
1759C2#1914890211yescharacteristic
1760C2#1914891711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2333C2
socle, cosocleC23×C43C25
prime radicalC2×#14583465C2
hypercenter#2333D43
hypocenterC43#34406
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #19137770C2semidirect
3. #19137764C2semidirect
4. #19137754C2semidirect
5. #19137750C2semidirect
6. #19137703C2semidirect
7. #19137656C2semidirect
8. #19137645C2semidirect
9. #19137641C2semidirect
10. #19137577C2semidirect
11. #19137576C2semidirect
12. #19137575C2semidirect
13. #19137573C2semidirect
14. #19137454C2semidirect
15. #19137450C2semidirect
16. #19137426C2semidirect
17. #19137419C2semidirect
18. #19137403C2semidirect
19. #19137402C2semidirect
20. #19137356C2semidirect
21. #19137319C2semidirect
22. #19137316C2semidirect
23. #19137300C2semidirect
24. #19137297C2semidirect
25. #19137257C2semidirect
26. #19137254C2semidirect
27. #19137169C2semidirect
28. #19137100C2semidirect
29. C4×#13063295C2semidirect
30. #386×D43C2semidirect
31. C43×#2333C2semidirect
35. #14583465C4semidirect
49. C2×C4×D172C22semidirect
50. C2×D4×Dic43C22semidirect
51. C2×D4×Dic43C22semidirect
52. C2×#13063287C22semidirect
53. C2×C4×C22⋊D43C22semidirect
56. C2×(C22⋊D43)⋊C4C22semidirect
57. C2×(C22⋊D43)⋊C4C22semidirect
58. C2×(C22⋊D43)⋊C4C22semidirect
65. #14582805C22semidirect
66. #14582805C22semidirect
67. #14582803C22semidirect
68. #14582803C22semidirect
69. #14582801C22semidirect
70. #14582800C22semidirect
71. #14582799C22semidirect
72. #14582799C22semidirect
73. #14582799C22semidirect
74. #14582799C22semidirect
75. #14582793C22semidirect
76. #14582793C22semidirect
77. #14582792C22semidirect
78. #14582792C22semidirect
79. #14582791C22semidirect
80. #14582791C22semidirect
81. #14582791C22semidirect
82. #14582790C22semidirect
83. #14582790C22semidirect
84. #14582790C22semidirect
85. #14582789C22semidirect
86. #14582788C22semidirect
87. #14582787C22semidirect
88. #14582787C22semidirect
89. #14582785C22semidirect
90. #14582785C22semidirect
91. #14582784C22semidirect
92. #14582784C22semidirect
93. #14582782C22semidirect
94. #14582782C22semidirect
97. #14582779C22semidirect
98. #14582779C22semidirect
101. #14582778C22semidirect
108. #14582777C22semidirect
109. #14582777C22semidirect
110. #14582777C22semidirect
111. #14582777C22semidirect
114. #14582776C22semidirect
115. #14582776C22semidirect
116. #14582776C22semidirect
117. #14582776C22semidirect
118. #14582776C22semidirect
125. #14582775C22semidirect
126. #14582775C22semidirect
127. #14582775C22semidirect
128. #14582775C22semidirect
129. #14582775C22semidirect
130. #14582775C22semidirect
131. #14582774C22semidirect
132. #14582774C22semidirect
135. #14582773C22semidirect
136. #14582773C22semidirect
137. #14582773C22semidirect
138. #14582772C22semidirect
139. #14582771C22semidirect
142. #14582770C22semidirect
143. #14582766C22semidirect
144. #14582766C22semidirect
145. #14582764C22semidirect
146. #14582763C22semidirect
149. #14582761C22semidirect
150. #14582759C22semidirect
151. #14582758C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. C4×Dic43⋊C4C22semidirect
156. C22⋊C4×Dic43C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×C22⋊Dic43C22semidirect
165. #14582746C22semidirect
166. #14582746C22semidirect
167. #14582745C22semidirect
168. #14582744C22semidirect
169. C2×C43⋊#95C22semidirect
172. #95×D43C22semidirect
174. C43×#390C22semidirect
175. C43×#390C22semidirect
176. C43×#388C22semidirect
177. C43×#388C22semidirect
178. C43×#387C22semidirect
179. C43×#387C22semidirect
182. C43×#386C22semidirect
183. C43×#386C22semidirect
184. C43×#381C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
192. C2×#10621898C2×C4semidirect
208. C2×D4×D43C2×C4semidirect
228. #13063321C2×C4semidirect
229. #13063321C2×C4semidirect
230. #13063311C2×C4semidirect
231. #13063311C2×C4semidirect
232. #13063300C2×C4semidirect
233. #13063299C2×C4semidirect
234. #13063296C2×C4semidirect
235. #13063295C2×C4semidirect
236. #13063295C2×C4semidirect
237. #13063293C2×C4semidirect
238. #13063293C2×C4semidirect
251. #13063283C2×C4semidirect
352. #121×C43C2×C4semidirect
411. C2×D4×C43C22×C4semidirect
420. C22×C4×C43C22×C4semidirect
454. C2×C22⋊D43C22×C4semidirect
455. C2×C22⋊D43C22×C4semidirect
456. C2×C22⋊D43C22×C4semidirect
494. C2×D172C22×C4semidirect
531. C2×C4×D43C22×C4semidirect
534. C2×Dic86C22×C4semidirect
537. C4⋊C4×C43C22×C4semidirect
549. C22⋊C4×C43C22×C4semidirect
563. C22⋊Dic43C22×C4semidirect
590. (C2×D43)⋊C4C22×C4semidirect
591. (C2×D43)⋊C4C22×C4semidirect
596. C4⋊Dic43C22×C4semidirect
611. C4×Dic43C22×C4semidirect
612. C4×Dic43C22×C4semidirect
887. #2333D43semidirect
956. #390C2×D43semidirect
957. #390C2×D43semidirect
972. #388C2×D43semidirect
973. #388C2×D43semidirect
980. #387C2×D43semidirect
981. #387C2×D43semidirect
1020. #386C2×D43semidirect
1021. #386C2×D43semidirect
1041. #381C2×D43semidirect
1059. C4×C22⋊C4C2×D43semidirect
1060. C4×C22⋊C4C2×D43semidirect
1061. C4×C22⋊C4C2×D43semidirect
1068. C43#34406semidirect
1122. #121C4×D43semidirect
1333. C2×D4C2×C4×D43semidirect
1403. C22×C4C2×C4×D43semidirect
1429. C4⋊C4C2×C4×D43semidirect
1479. C22⋊C4C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834652
#191377702
#191377642
#191377542
#191377502
#191377032
#191376562
#191376452
#191376412
#191375772
#191375762
#191375752
#191375732
#191374542
#191374502
#191374262
#191374192
#191374032
#191374022
#191373562
#191373192
#191373162
#191373002
#191372972
#191372572
#191372542
#191371692
#191371002
C4×#130632952
#386×D432
C43×#23332
#3440643