Finite Group Databasebeta

← #25259948

Subgroups — #25259948

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×#14583464C211yesmaximal, characteristic
2#19137770C211yesmaximal, characteristic, complemented
3#19137768C211yesmaximal, characteristic, complemented
4#19137753C211yesmaximal, characteristic, complemented
5#19137751C211yesmaximal, characteristic, complemented
6#19137703C211yesmaximal, characteristic, complemented
7#19137657C211yesmaximal, characteristic, complemented
8#19137646C211yesmaximal, characteristic, complemented
9#19137640C211yesmaximal, characteristic, complemented
10#19137577C211yesmaximal, characteristic, complemented
11#19137575C211yesmaximal, characteristic, complemented
12#19137572C211yesmaximal, characteristic, complemented
13#19137571C211yesmaximal, characteristic, complemented
14#19137453C211yesmaximal, characteristic, complemented
15#19137449C211yesmaximal, characteristic, complemented
16#19137421C211yesmaximal, characteristic, complemented
17#19137420C211yesmaximal, characteristic, complemented
18#19137409C211yesmaximal, characteristic, complemented
19#19137403C211yesmaximal, characteristic, complemented
20#19137361C211yesmaximal, characteristic, complemented
21#19137355C211yesmaximal, characteristic, complemented
22#19137317C211yesmaximal, characteristic, complemented
23#19137316C211yesmaximal, characteristic, complemented
24#19137293C211yesmaximal, characteristic, complemented
25#19137292C211yesmaximal, characteristic, complemented
26#19137256C211yesmaximal, characteristic, complemented
27#19137250C211yesmaximal, characteristic, complemented
28#19137171C211yesmaximal, characteristic, complemented
29C4×#13063294C211yesmaximal, characteristic, complemented
30C2×#14582778C211yesmaximal, characteristic, complemented
31C4×#120×C43C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C22⋊D43C2211yescharacteristic
34#14583464C4116yescomplemented
35C2×#13063321C2211yescharacteristic
36C2×#13063321C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063298C2211yescharacteristic
40C2×#13063298C2211yescharacteristic
41C2×#13063297C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063294C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×C4×D172C2211yescharacteristic, complemented
47C2×D4×Dic43C2211yescharacteristic
48C2×#13063287C2211yescharacteristic, complemented
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic, complemented
51C2×C4×C22⋊D43C2211yescharacteristic, complemented
52C2×C4×C22⋊D43C2211yescharacteristic, complemented
53C2×(C22⋊D43)⋊C4C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
55C2×#13063281C2211yescharacteristic
56C22×C22⋊Dic43C2211yescharacteristic
57C22×(C2×D43)⋊C4C2211yescharacteristic
58C22×(C2×D43)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61#14582805C2211yescharacteristic, complemented
62#14582804C2211yescharacteristic, complemented
63#14582803C2211yescharacteristic, complemented
64#14582803C2211yescharacteristic, complemented
65#14582802C2211yescharacteristic, complemented
66#14582802C2211yescharacteristic, complemented
67#14582801C2211yescharacteristic, complemented
68#14582800C2211yescharacteristic, complemented
69#14582799C2211yescharacteristic, complemented
70#14582799C2211yescharacteristic, complemented
71#14582799C2211yescharacteristic, complemented
72#14582799C2211yescharacteristic, complemented
73#14582793C2211yescharacteristic, complemented
74#14582793C2211yescharacteristic, complemented
75#14582792C2211yescharacteristic, complemented
76#14582792C2211yescharacteristic, complemented
77#14582792C2211yescharacteristic, complemented
78#14582792C2211yescharacteristic, complemented
79#14582791C2211yescharacteristic, complemented
80#14582791C2211yescharacteristic, complemented
81#14582790C2211yescharacteristic, complemented
82#14582790C2211yescharacteristic, complemented
83#14582789C2211yescharacteristic, complemented
84#14582789C2211yescharacteristic, complemented
85#14582788C2211yescharacteristic, complemented
86#14582788C2211yescharacteristic, complemented
87#14582787C2211yescharacteristic, complemented
88#14582787C2211yescharacteristic, complemented
89#14582786C2211yescharacteristic, complemented
90#14582786C2211yescharacteristic, complemented
91#14582783C2211yescharacteristic, complemented
92#14582783C2211yescharacteristic, complemented
93#14582781C2211yescharacteristic, complemented
94#14582781C2211yescharacteristic, complemented
95#14582780C2211yescharacteristic, complemented
96#14582780C2211yescharacteristic, complemented
97#14582779C2211yescharacteristic
98#14582779C2211yescharacteristic, complemented
99#14582779C2211yescharacteristic, complemented
100#14582778C2211yescharacteristic
101#14582778C2211yescharacteristic
102#14582778C2211yescharacteristic
103#14582778C2211yescharacteristic
104#14582778C2211yescharacteristic
105#14582778C2211yescharacteristic
106#14582778C2211yescharacteristic
107#14582778C2211yescharacteristic
108#14582778C2211yescharacteristic
109#14582778C2211yescharacteristic, complemented
110#14582778C2211yescharacteristic, complemented
111#14582778C2211yescharacteristic, complemented
112#14582778C2211yescharacteristic, complemented
113#14582777C2211yescharacteristic, complemented
114#14582777C2211yescharacteristic, complemented
115#14582777C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic, complemented
117#14582776C2211yescharacteristic
118#14582776C2211yescharacteristic, complemented
119#14582776C2211yescharacteristic, complemented
120#14582775C2211yescharacteristic
121#14582775C2211yescharacteristic
122#14582775C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic, complemented
129#14582775C2211yescharacteristic, complemented
130#14582775C2211yescharacteristic, complemented
131#14582775C2211yescharacteristic, complemented
132#14582775C2211yescharacteristic, complemented
133#14582775C2211yescharacteristic, complemented
134#14582774C2211yescharacteristic
135#14582773C2211yescharacteristic, complemented
136#14582773C2211yescharacteristic, complemented
137#14582772C2211yescharacteristic
138#14582772C2211yescharacteristic, complemented
139#14582772C2211yescharacteristic, complemented
140#14582771C2211yescharacteristic
141#14582770C2211yescharacteristic, complemented
142#14582770C2211yescharacteristic, complemented
143#14582766C2211yescharacteristic, complemented
144#14582766C2211yescharacteristic, complemented
145#14582764C2211yescharacteristic, complemented
146#14582763C2211yescharacteristic, complemented
147#14582761C2211yescharacteristic, complemented
148#14582760C2211yescharacteristic
149#14582760C2211yescharacteristic
150#14582760C2211yescharacteristic, complemented
151#14582757C2211yescharacteristic, complemented
152#14582756C2211yescharacteristic, complemented
153#14582755C2211yescharacteristic
154C4⋊C4×Dic43C2211yescharacteristic, complemented
155C4×Dic43⋊C4C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic
157C22⋊C4×Dic43C2211yescharacteristic
158C22⋊C4×Dic43C2211yescharacteristic, complemented
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic43C2211yescharacteristic
163C4×C22⋊Dic43C2211yescharacteristic, complemented
164C4×C22⋊Dic43C2211yescharacteristic, complemented
165#14582746C2211yescharacteristic, complemented
166#14582746C2211yescharacteristic, complemented
167#14582745C2211yescharacteristic, complemented
168#14582744C2211yescharacteristic, complemented
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173C24×C4×C43C2211yescharacteristic
174C2×#120×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C2×C4×D4×C43C2211yescharacteristic, complemented
177C2×C4×D4×C43C2211yescharacteristic, complemented
178C43×#386C2211yescharacteristic
179C43×#386C2211yescharacteristic, complemented
180C43×#386C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic, complemented
183C43×#385C2211yescharacteristic, complemented
184C43×#379C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C2×#10621900—42no—
190C2×#10621900—42no—
191C2×#10621900C2×C418yescomplemented
192C22×Dic86C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43—42no—
196C22×C22⋊D43—42no—
197C22×C22⋊D43C2×C418yescomplemented
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220#13063321C2×C418yescomplemented
221#13063321C2×C418yescomplemented
222#13063311C2×C418yescomplemented
223#13063311C2×C418yescomplemented
224#13063298C2×C418yescomplemented
225#13063298C2×C418yescomplemented
226#13063297C2×C418yescomplemented
227#13063297C2×C418yescomplemented
228#13063295C2×C418yescomplemented
229#13063294C2×C418yescomplemented
230#13063293C2×C418yescomplemented
231C4×D172—42no—
232D4×Dic43—42no—
233#13063287—42no—
234C4×C22⋊D43—42no—
235C4×C22⋊D43—42no—
236C4×C22⋊D43—42no—
237C4×C22⋊D43—42no—
238(C22⋊D43)⋊C4—42no—
239(C22⋊D43)⋊C4—42no—
240#13063281C2×C418yescomplemented
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×C22⋊Dic43—42no—
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4—42no—
270C2×(C2×D43)⋊C4—42no—
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
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
293C22⋊C4×D43—42no—
294C22⋊C4×D43—42no—
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
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
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
340C25×C43C2311yescharacteristic
341C22×D4×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C23×C4×C43—42no—
345C23×C4×C43—42no—
346C23×C4×C43—42no—
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354#120×C43C2×C418yescomplemented
355C4×D4×C43—42no—
356C4×D4×C43—42no—
357C4×D4×C43—42no—
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×C42×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375C2×C42×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382C24×C43—22no—
383C24×C43—22no—
384C24×C43—41no—
385C24×C43—41no—
386C24×C43—41no—
387C24×C43—41no—
388C24×C43C22×C414yes—
389C24×C43C2411yescharacteristic
390C24×C43C2411yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43C22×C414yes—
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C2×D4×C43—22no—
404C2×D4×C43—22no—
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×C414yes—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—416no—
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—416no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43C22×C414yes—
467C2×C22⋊D43C22×C414yes—
468C2×C22⋊D43C22×C414yes—
469C2×C22⋊D43C22×C414yes—
470C2×C22⋊D43C22×C414yes—
471C2×C22⋊D43C22×C414yes—
472C2×C22⋊D43C22×C414yes—
473C2×C22⋊D43C22×C414yescomplemented
474C2×C22⋊D43C22×C414yescomplemented
475C2×C22⋊D43C22×C414yescomplemented
476C22×Dic43—22no—
477C22×Dic43—22no—
478C22×Dic43—22no—
479C22×Dic43—22no—
480C22×Dic43—41no—
481C22×Dic43—41no—
482C22×Dic43—41no—
483C22×Dic43—41no—
484C22×Dic43—41no—
485C22×Dic43—41no—
486C22×Dic43—41no—
487C22×Dic43—41no—
488C22×Dic43—41no—
489C22×Dic43C22×C414yes—
490C22×Dic43C22×C414yescomplemented
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2411yescharacteristic
493C22×Dic43C2411yescharacteristic
494C22×Dic43C2411yescharacteristic
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504#10621900—416no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172C22×C414yescomplemented
510C2×D172C22×C414yescomplemented
511C2×C4×D43—22no—
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—41no—
530C2×C4×D43—41no—
531C2×C4×D43C22×C414yescomplemented
532C2×Dic86—41no—
533C2×Dic86—41no—
534C2×Dic86C22×C414yescomplemented
535C4⋊C4×C43—22no—
536C4⋊C4×C43—41no—
537C4⋊C4×C43—41no—
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—22no—
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×C43C22×C414yes—
548C22⋊C4×C43C22×C414yes—
549C22⋊C4×C43C22×C414yes—
550C42×C43—22no—
551C42×C43—41no—
552C42×C43—41no—
553C22⋊Dic43—22no—
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⋊Dic43—41no—
563C22⋊Dic43—41no—
564C22⋊Dic43—41no—
565C22⋊Dic43—41no—
566C22⋊Dic43C22×C414yes—
567C22⋊Dic43C22×C414yes—
568C22⋊Dic43C22×C414yes—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
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)⋊C4—41no—
587(C2×D43)⋊C4C22×C414yescomplemented
588(C2×D43)⋊C4C22×C414yescomplemented
589(C2×D43)⋊C4C22×C414yescomplemented
590(C2×D43)⋊C4C22×C414yescomplemented
591C4⋊Dic43—41no—
592C4⋊Dic43—41no—
593C4⋊Dic43—41no—
594Dic43⋊C4—22no—
595Dic43⋊C4—41no—
596Dic43⋊C4—41no—
597Dic43⋊C4—41no—
598Dic43⋊C4—41no—
599Dic43⋊C4—41no—
600Dic43⋊C4C22×C414yescomplemented
601Dic43⋊C4C22×C414yescomplemented
602C4×Dic43—22no—
603C4×Dic43—41no—
604C4×Dic43—41no—
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—28no—
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×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—44no—
637C23×C43—44no—
638C23×C43—44no—
639C23×C43—44no—
640C23×C43—44no—
641C23×C43—44no—
642C23×C43C23×C412yes—
643C23×C43C23×C412yes—
644C23×C43C23×C412yes—
645C23×C43C23×C412yes—
646C23×C43H(5,𝔽2)12yes—
647C23×C43H(5,𝔽2)12yes—
648C23×C43C2511yescharacteristic
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—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—28no—
668C22×D43—44no—
669C22×D43—44no—
670C22×D43—82no—
671C22×D43—82no—
672C22×D43—82no—
673C22×D43—82no—
674C22×D43C23×C412yes—
675C22×D43C23×C412yes—
676C22×D43C23×C412yes—
677D4×C43—28no—
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—44no—
709C2×C4×C43—44no—
710C2×C4×C43—44no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—82no—
715C2×C4×C43C23×C412yes—
716C2×C4×C43C23×C412yes—
717C2×C4×C43C23×C412yes—
718C2×C4×C43H(5,𝔽2)12yes—
719C2×C4×C43H(5,𝔽2)12yes—
720C22⋊D43—28no—
721C22⋊D43—44no—
722C22⋊D43—44no—
723C22⋊D43—44no—
724C22⋊D43—44no—
725C22⋊D43—44no—
726C22⋊D43—44no—
727C22⋊D43—44no—
728C22⋊D43—44no—
729C22⋊D43—44no—
730C2×Dic43—28no—
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—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—44no—
766C2×Dic43—82no—
767C2×Dic43—82no—
768C2×Dic43—82no—
769C2×Dic43C23×C412yes—
770C2×Dic43C23×C412yes—
771C2×Dic43C23×C412yes—
772C2×Dic43C23×C412yes—
773C2×Dic43C23×C412yes—
774D172—44no—
775D172—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—22no—
795C22×C43—22no—
796C22×C43—22no—
797C22×C43—22no—
798C22×C43—22no—
799C22×C43—22no—
800C22×C43—416no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43#51814yes—
814C22×C43C24×C411yescharacteristic
815C22×C43C2×H(5,𝔽2)11yescharacteristic
816C22×C43C2×H(5,𝔽2)11yescharacteristic
817C22×C43C2×H(5,𝔽2)11yescharacteristic
818C22×C43C2×H(5,𝔽2)11yescharacteristic
819C22×C43#58511yescharacteristic
820C22×C43#58511yescharacteristic
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—22no—
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—22no—
829C2×D43—22no—
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—41no—
842C2×D43—88no—
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—
854Dic43—22no—
855Dic43—22no—
856Dic43—22no—
857Dic43—22no—
858Dic43—22no—
859Dic43—41no—
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#2333—431no—
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×#120D4311yescharacteristic, complemented
897C2×#386—431no—
898C2×C43—24no—
899C2×C43—42no—
900C2×C43—42no—
901C2×C43—42no—
902C2×C43C2×#51811yescharacteristic
903C2×C43C4×H(5,𝔽2)11yescharacteristic
904C2×C43C4×H(5,𝔽2)11yescharacteristic
905C2×C43#353211yescharacteristic
906C2×C43#353311yescharacteristic
907C2×C43#354211yescharacteristic
908C2×C43#354211yescharacteristic
909D43—42no—
910D43—42no—
911D43—42no—
912C22×#41—431no—
913C23×D4—431no—
914C24×C4C2×D4311yescharacteristic
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×#121—431no—
924C2×#120—431no—
925C2×#120—431no—
926C2×#120—431no—
927C2×#120C2×D4311yescharacteristic
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×D4C2×D4311yescharacteristic
938C2×C4×D4C2×D4311yescharacteristic, complemented
939C2×C4×D4C2×D4311yescharacteristic, complemented
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#390—431no—
957#390—431no—
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#388—431no—
973#388—431no—
974#387—431no—
975#387—431no—
976#387—431no—
977#387—431no—
978#387—431no—
979#387—431no—
980#387—431no—
981#387—431no—
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#386—431no—
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#385C2×D4311yescharacteristic
1032#385C2×D4311yescharacteristic, complemented
1033#385C2×D4311yescharacteristic, complemented
1034#383—431no—
1035#383—431no—
1036#382—431no—
1037#382—431no—
1038#381—431no—
1039#381—431no—
1040#381—431no—
1041#381—431no—
1042#380—431no—
1043#380—431no—
1044#379—431no—
1045#379C2×D4311yescharacteristic
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
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—
1070C25C22×D4311yescharacteristic
1071C2×#41—438no—
1072C2×#41—1722no—
1073C2×#41—1722no—
1074C22×Q8—431no—
1075C22×D4—431no—
1076C22×D4—438no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—431no—
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—42no—
1094C23×C4—42no—
1095C23×C4—42no—
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×C4C22×D4311yescharacteristic
1109C23×C4C22×D4311yescharacteristic
1110C23×C4C22×D4311yescharacteristic
1111C23×C4C22×D4311yescharacteristic
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#121—438no—
1123#120—438no—
1124#120—438no—
1125#120—438no—
1126#120C4×D4318yescomplemented
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—42no—
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×C42—431no—
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#95—431no—
1254#95—431no—
1255#95—431no—
1256#95—431no—
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260#95C22×D4311yescharacteristic
1261#95C22×D4311yescharacteristic
1262#95C22×D4311yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—431no—
1270C24—431no—
1271C24—431no—
1272C24—434no—
1273C24—862no—
1274C24—862no—
1275C24—1721no—
1276C24—1721no—
1277C24—1721no—
1278C24—1721no—
1279C24C2×C4×D4314yes—
1280C24C23×D4311yescharacteristic
1281C24C23×D4311yescharacteristic
1282C24C23×D4311yescharacteristic
1283C24C23×D4311yescharacteristic
1284#41—17216no—
1285C2×Q8—434no—
1286C2×Q8—1721no—
1287C2×Q8—1721no—
1288C2×D4—22no—
1289C2×D4—22no—
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—1721no—
1309C2×D4—1721no—
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×D4314yes—
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—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—416no—
1356C22×C4—434no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—434no—
1363C22×C4—434no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—862no—
1373C22×C4—862no—
1374C22×C4—862no—
1375C22×C4—862no—
1376C22×C4—862no—
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—1721no—
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×C4—1721no—
1404C22×C4—1721no—
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—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—434no—
1420C4⋊C4—434no—
1421C4⋊C4—862no—
1422C4⋊C4—1721no—
1423C4⋊C4—1721no—
1424C4⋊C4—1721no—
1425C4⋊C4—1721no—
1426C4⋊C4—1721no—
1427C4⋊C4—1721no—
1428C4⋊C4—1721no—
1429C4⋊C4—1721no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—434no—
1440C22⋊C4—434no—
1441C22⋊C4—434no—
1442C22⋊C4—434no—
1443C22⋊C4—434no—
1444C22⋊C4—434no—
1445C22⋊C4—434no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C22⋊C4—862no—
1450C22⋊C4—862no—
1451C22⋊C4—862no—
1452C22⋊C4—862no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
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⋊C4C2×C4×D4314yes—
1478C22⋊C4C2×C4×D4314yes—
1479C22⋊C4C2×C4×D4314yes—
1480C42—22no—
1481C42—41no—
1482C42—41no—
1483C42—434no—
1484C42—434no—
1485C42—862no—
1486C42—1721no—
1487C42—1721no—
1488C42—1721no—
1489C42—1721no—
1490C42—1721no—
1491C42—1721no—
1492C42—1721no—
1493C42—1721no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—28no—
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—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—432no—
1524C23—432no—
1525C23—432no—
1526C23—868no—
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—861no—
1543C23—861no—
1544C23—861no—
1545C23—3442no—
1546C23—3442no—
1547C23—3442no—
1548C23—3442no—
1549C23—1724no—
1550C23—1724no—
1551C23C22×C4×D4312yes—
1552C23C22×C4×D4312yes—
1553C23C22×C4×D4312yes—
1554C23C22×C4×D4312yes—
1555C23#1306337012yes—
1556C23#1306337112yes—
1557C23C24×D4311yescharacteristic
1558Q8—1724no—
1559D4—28no—
1560D4—44no—
1561D4—44no—
1562D4—868no—
1563D4—1724no—
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—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—82no—
1609C2×C4—432no—
1610C2×C4—432no—
1611C2×C4—432no—
1612C2×C4—432no—
1613C2×C4—432no—
1614C2×C4—868no—
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—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—3442no—
1650C2×C4—3442no—
1651C2×C4—3442no—
1652C2×C4—3442no—
1653C2×C4—3442no—
1654C2×C4—3442no—
1655C2×C4—3442no—
1656C2×C4—3442no—
1657C2×C4—3442no—
1658C2×C4—1724no—
1659C2×C4—1724no—
1660C2×C4C22×C4×D4312yes—
1661C2×C4C22×C4×D4312yes—
1662C2×C4C22×C4×D4312yes—
1663C2×C4#1306337012yes—
1664C2×C4#1306337012yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—416no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—862no—
1694C22—862no—
1695C22—862no—
1696C22—862no—
1697C22—862no—
1698C22—862no—
1699C22—862no—
1700C22—862no—
1701C22—862no—
1702C22—3448no—
1703C22—1721no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22#1458337114yes—
1716C22C23×C4×D4311yescharacteristic
1717C22C2×#1306337011yescharacteristic
1718C22C2×#1306337011yescharacteristic
1719C22C2×#1306337011yescharacteristic
1720C22C2×#1306337111yescharacteristic
1721C22#1458373511yescharacteristic
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—862no—
1735C4—862no—
1736C4—862no—
1737C4—862no—
1738C4—862no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—42no—
1751C2—1722no—
1752C2—1722no—
1753C2—1722no—
1754C2C2×#1458337111yescharacteristic
1755C2C4×#1306337011yescharacteristic
1756C2C4×#1306337011yescharacteristic
1757C2#1914875011yescharacteristic
1758C2#1914875911yescharacteristic
1759C2#1914890311yescharacteristic
1760C2#1914891111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC4×#120×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583464C2
hypercenterC4×#120D43
hypocenterC43#34406
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #19137770C2semidirect
3. #19137768C2semidirect
4. #19137753C2semidirect
5. #19137751C2semidirect
6. #19137703C2semidirect
7. #19137657C2semidirect
8. #19137646C2semidirect
9. #19137640C2semidirect
10. #19137577C2semidirect
11. #19137575C2semidirect
12. #19137572C2semidirect
13. #19137571C2semidirect
14. #19137453C2semidirect
15. #19137449C2semidirect
16. #19137421C2semidirect
17. #19137420C2semidirect
18. #19137409C2semidirect
19. #19137403C2semidirect
20. #19137361C2semidirect
21. #19137355C2semidirect
22. #19137317C2semidirect
23. #19137316C2semidirect
24. #19137293C2semidirect
25. #19137292C2semidirect
26. #19137256C2semidirect
27. #19137250C2semidirect
28. #19137171C2semidirect
29. C4×#13063294C2semidirect
30. C2×#14582778C2semidirect
31. C4×#120×C43C2semidirect
34. #14583464C4semidirect
46. C2×C4×D172C22semidirect
48. C2×#13063287C22semidirect
50. C2×C4×C22⋊D43C22semidirect
51. C2×C4×C22⋊D43C22semidirect
52. C2×C4×C22⋊D43C22semidirect
54. C2×(C22⋊D43)⋊C4C22semidirect
61. #14582805C22semidirect
62. #14582804C22semidirect
63. #14582803C22semidirect
64. #14582803C22semidirect
65. #14582802C22semidirect
66. #14582802C22semidirect
67. #14582801C22semidirect
68. #14582800C22semidirect
69. #14582799C22semidirect
70. #14582799C22semidirect
71. #14582799C22semidirect
72. #14582799C22semidirect
73. #14582793C22semidirect
74. #14582793C22semidirect
75. #14582792C22semidirect
76. #14582792C22semidirect
77. #14582792C22semidirect
78. #14582792C22semidirect
79. #14582791C22semidirect
80. #14582791C22semidirect
81. #14582790C22semidirect
82. #14582790C22semidirect
83. #14582789C22semidirect
84. #14582789C22semidirect
85. #14582788C22semidirect
86. #14582788C22semidirect
87. #14582787C22semidirect
88. #14582787C22semidirect
89. #14582786C22semidirect
90. #14582786C22semidirect
91. #14582783C22semidirect
92. #14582783C22semidirect
93. #14582781C22semidirect
94. #14582781C22semidirect
95. #14582780C22semidirect
96. #14582780C22semidirect
98. #14582779C22semidirect
99. #14582779C22semidirect
109. #14582778C22semidirect
110. #14582778C22semidirect
111. #14582778C22semidirect
112. #14582778C22semidirect
113. #14582777C22semidirect
114. #14582777C22semidirect
115. #14582777C22semidirect
116. #14582777C22semidirect
118. #14582776C22semidirect
119. #14582776C22semidirect
128. #14582775C22semidirect
129. #14582775C22semidirect
130. #14582775C22semidirect
131. #14582775C22semidirect
132. #14582775C22semidirect
133. #14582775C22semidirect
135. #14582773C22semidirect
136. #14582773C22semidirect
138. #14582772C22semidirect
139. #14582772C22semidirect
141. #14582770C22semidirect
142. #14582770C22semidirect
143. #14582766C22semidirect
144. #14582766C22semidirect
145. #14582764C22semidirect
146. #14582763C22semidirect
147. #14582761C22semidirect
150. #14582760C22semidirect
151. #14582757C22semidirect
152. #14582756C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. C4×Dic43⋊C4C22semidirect
158. C22⋊C4×Dic43C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
163. C4×C22⋊Dic43C22semidirect
164. C4×C22⋊Dic43C22semidirect
165. #14582746C22semidirect
166. #14582746C22semidirect
167. #14582745C22semidirect
168. #14582744C22semidirect
171. C2×C43⋊#95C22semidirect
172. #95×D43C22semidirect
176. C2×C4×D4×C43C22semidirect
177. C2×C4×D4×C43C22semidirect
179. C43×#386C22semidirect
180. C43×#386C22semidirect
182. C43×#385C22semidirect
183. C43×#385C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
191. C2×#10621900C2×C4semidirect
197. C22×C22⋊D43C2×C4semidirect
220. #13063321C2×C4semidirect
221. #13063321C2×C4semidirect
222. #13063311C2×C4semidirect
223. #13063311C2×C4semidirect
224. #13063298C2×C4semidirect
225. #13063298C2×C4semidirect
226. #13063297C2×C4semidirect
227. #13063297C2×C4semidirect
228. #13063295C2×C4semidirect
229. #13063294C2×C4semidirect
230. #13063293C2×C4semidirect
240. #13063281C2×C4semidirect
354. #120×C43C2×C4semidirect
473. C2×C22⋊D43C22×C4semidirect
474. C2×C22⋊D43C22×C4semidirect
475. C2×C22⋊D43C22×C4semidirect
490. C22×Dic43C22×C4semidirect
509. C2×D172C22×C4semidirect
510. C2×D172C22×C4semidirect
531. C2×C4×D43C22×C4semidirect
534. C2×Dic86C22×C4semidirect
587. (C2×D43)⋊C4C22×C4semidirect
588. (C2×D43)⋊C4C22×C4semidirect
589. (C2×D43)⋊C4C22×C4semidirect
590. (C2×D43)⋊C4C22×C4semidirect
600. Dic43⋊C4C22×C4semidirect
601. Dic43⋊C4C22×C4semidirect
611. C4×Dic43C22×C4semidirect
612. C4×Dic43C22×C4semidirect
896. C4×#120D43semidirect
938. C2×C4×D4C2×D43semidirect
939. C2×C4×D4C2×D43semidirect
1020. #386C2×D43semidirect
1021. #386C2×D43semidirect
1032. #385C2×D43semidirect
1033. #385C2×D43semidirect
1060. C4×C22⋊C4C2×D43semidirect
1061. C4×C22⋊C4C2×D43semidirect
1068. C43#34406semidirect
1126. #120C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834642
#191377702
#191377682
#191377532
#191377512
#191377032
#191376572
#191376462
#191376402
#191375772
#191375752
#191375722
#191375712
#191374532
#191374492
#191374212
#191374202
#191374092
#191374032
#191373612
#191373552
#191373172
#191373162
#191372932
#191372922
#191372562
#191372502
#191371712
C4×#130632942
C2×#145827782
C4×#120×C432
#3440643