Finite Group Databasebeta

← #25256847

Subgroups — #25256847

Order 11008.

4982 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D43C211yesmaximal, characteristic
2C2×#14583371C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×D43C211yesmaximal, characteristic, complemented
4#19137579C211yesmaximal, characteristic, complemented
5#19137577C211yesmaximal, characteristic, complemented
6#19137575C211yesmaximal, characteristic, complemented
7#19137574C211yesmaximal, characteristic, complemented
8#19137574C211yesmaximal, characteristic, complemented
9#19137572C211yesmaximal, characteristic, complemented
10#19137571C211yesmaximal, characteristic, complemented
11#19137443C211yesmaximal, characteristic, complemented
12#19137442C211yesmaximal, characteristic, complemented
13#19137439C211yesmaximal, characteristic, complemented
14#19137438C211yesmaximal, characteristic, complemented
15#19137416C211yesmaximal, characteristic, complemented
16#19137413C211yesmaximal, characteristic, complemented
17#19137413C211yesmaximal, characteristic, complemented
18D4×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
19#19137257C211yesmaximal, characteristic, complemented
20#19137254C211yesmaximal, characteristic, complemented
21#19137251C211yesmaximal, characteristic, complemented
22#19137248C211yesmaximal, characteristic, complemented
23#19137206C211yesmaximal, characteristic, complemented
24#19137169C211yesmaximal, characteristic, complemented
25#19137100C211yesmaximal, characteristic, complemented
26C4×#13063295C211yesmaximal, characteristic, complemented
27#19137096C211yesmaximal, characteristic, complemented
28C4×#13063293C211yesmaximal, characteristic, complemented
29C2×#14582754C211yesmaximal, characteristic, complemented
30#19136947C211yesmaximal, characteristic, complemented
31C43×#2358C211yesmaximal, characteristic, complemented
32C25×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C22×D4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic, complemented
37C23×C4×D43C2211yescharacteristic, complemented
38C2×#13063295C2211yescharacteristic
39C2×#13063295C2211yescharacteristic
40C2×#13063295C2211yescharacteristic
41C2×#13063294C2211yescharacteristic
42C2×#13063293C2211yescharacteristic
43C2×#13063293C2211yescharacteristic
44C2×#13063293C2211yescharacteristic
45#120×D43C4116yescomplemented
46#14583371—28no—
47C2×C4×D172C2211yescharacteristic, complemented
48C2×C4×D172C2211yescharacteristic, complemented
49C2×D4×Dic43C2211yescharacteristic, complemented
50C2×D4×Dic43C2211yescharacteristic, complemented
51C2×#13063287C2211yescharacteristic, complemented
52C2×#13063287C2211yescharacteristic, complemented
53C2×C4×C22⋊D43C2211yescharacteristic, complemented
54C2×C4×C22⋊D43C2211yescharacteristic, complemented
55C2×C4×C22⋊D43C2211yescharacteristic, complemented
56C2×C4×C22⋊D43C2211yescharacteristic, complemented
57C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
61C2×#13063283C2211yescharacteristic, complemented
62C2×#13063282C2211yescharacteristic, complemented
63C22×C22⋊Dic43C2211yescharacteristic, complemented
64C22×C22⋊Dic43C2211yescharacteristic, complemented
65C22×(C2×D43)⋊C4C2211yescharacteristic
66C22×(C2×D43)⋊C4C2211yescharacteristic
67C22×(C2×D43)⋊C4C2211yescharacteristic
68C22×(C2×D43)⋊C4C2211yescharacteristic
69C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
70C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D43—28no—
73C2×C22⋊C4×D43C2211yescharacteristic
74C2×C22⋊C4×D43C2211yescharacteristic
75C2×C22⋊C4×D43C2211yescharacteristic
76C2×C22⋊C4×D43C2211yescharacteristic
77C2×C22⋊C4×D43C2211yescharacteristic
78C2×C22⋊C4×D43C2211yescharacteristic
79C2×C22⋊C4×D43C2211yescharacteristic
80C2×C22⋊C4×D43C2211yescharacteristic, complemented
81C2×C22⋊C4×D43C2211yescharacteristic, complemented
82C2×C22⋊C4×D43C2211yescharacteristic, complemented
83C2×C22⋊C4×D43C2211yescharacteristic, complemented
84C2×C22⋊C4×D43C2211yescharacteristic, complemented
85#14582802C2211yescharacteristic, complemented
86#14582801C2211yescharacteristic, complemented
87#14582800C2211yescharacteristic, complemented
88#14582799C2211yescharacteristic, complemented
89#14582799C2211yescharacteristic, complemented
90#14582799C2211yescharacteristic, complemented
91#14582799C2211yescharacteristic, complemented
92#14582793C2211yescharacteristic, complemented
93#14582793C2211yescharacteristic, complemented
94#14582792C2211yescharacteristic, complemented
95#14582792C2211yescharacteristic, complemented
96#14582791C2211yescharacteristic, complemented
97#14582791C2211yescharacteristic, complemented
98#14582790C2211yescharacteristic, complemented
99#14582790C2211yescharacteristic, complemented
100#14582789C2211yescharacteristic, complemented
101#14582789C2211yescharacteristic, complemented
102#14582788C2211yescharacteristic, complemented
103#14582788C2211yescharacteristic, complemented
104#14582787C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582779C2211yescharacteristic, complemented
107#14582779C2211yescharacteristic, complemented
108#14582779C2211yescharacteristic, complemented
109#14582778C2211yescharacteristic, complemented
110#14582778C2211yescharacteristic, complemented
111#14582778C2211yescharacteristic, complemented
112#14582777C2211yescharacteristic, complemented
113#14582777C2211yescharacteristic, complemented
114#14582777C2211yescharacteristic, complemented
115#14582777C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic, complemented
117#14582777C2211yescharacteristic, complemented
118#14582776C2211yescharacteristic, complemented
119#14582776C2211yescharacteristic, complemented
120#14582776C2211yescharacteristic, complemented
121#14582775C2211yescharacteristic, complemented
122#14582775C2211yescharacteristic, complemented
123#14582775C2211yescharacteristic, complemented
124#14582775C2211yescharacteristic, complemented
125#14582775C2211yescharacteristic, complemented
126#14582775C2211yescharacteristic, complemented
127#14582774C2211yescharacteristic, complemented
128#14582774C2211yescharacteristic, complemented
129#14582773C2211yescharacteristic, complemented
130#14582773C2211yescharacteristic, complemented
131#14582773C2211yescharacteristic, complemented
132#14582773C2211yescharacteristic, complemented
133#14582772C2211yescharacteristic, complemented
134#14582772C2211yescharacteristic, complemented
135#14582771C2211yescharacteristic, complemented
136#14582771C2211yescharacteristic, complemented
137#14582770C2211yescharacteristic, complemented
138#14582770C2211yescharacteristic, complemented
139#14582770C2211yescharacteristic, complemented
140#14582770C2211yescharacteristic, complemented
141#14582761C2211yescharacteristic, complemented
142#14582761C2211yescharacteristic, complemented
143#14582758C2211yescharacteristic, complemented
144#14582758C2211yescharacteristic, complemented
145#14582756C2211yescharacteristic, complemented
146#14582756C2211yescharacteristic, complemented
147#14582754C2211yescharacteristic
148#14582754C2211yescharacteristic
149#14582754C2211yescharacteristic
150#14582754C2211yescharacteristic
151#14582754C2211yescharacteristic, complemented
152#14582754C2211yescharacteristic, complemented
153#14582754C2211yescharacteristic, complemented
154#14582754C2211yescharacteristic, complemented
155#14582754C2211yescharacteristic, complemented
156#14582754C2211yescharacteristic, complemented
157C22⋊C4×Dic43C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic, complemented
159C22⋊C4×Dic43C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic43C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173#14582746C2211yescharacteristic, complemented
174#14582746C2211yescharacteristic, complemented
175C2×#120×C43C2211yescharacteristic
176C2×C4×D4×C43C2211yescharacteristic, complemented
177C2×C4×D4×C43C2211yescharacteristic, complemented
178C22×C22⋊C4×C43C2211yescharacteristic, complemented
179C22×C22⋊C4×C43C2211yescharacteristic, complemented
180C43×#390C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C4×C22⋊C4×C43C2211yescharacteristic, complemented
190C24×D43—24no—
191C24×D43—24no—
192C24×D43—42no—
193C24×D43—42no—
194C24×D43—42no—
195C24×D43—42no—
196C24×D43C2×C418yescomplemented
197C24×D43C2311yescharacteristic
198C24×D43C2311yescharacteristic
199C24×D43C2311yescharacteristic
200C24×D43C2311yescharacteristic
201C24×D43C2311yescharacteristic
202C24×D43C2311yescharacteristic
203C24×D43C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C2×D4×D43—24no—
214C2×D4×D43—24no—
215C2×D4×D43—42no—
216C2×D4×D43—42no—
217C2×D4×D43—42no—
218C2×D4×D43—42no—
219C2×D4×D43C2×C418yescomplemented
220C2×D4×D43C2×C418yescomplemented
221C2×D4×D43C2×C418yescomplemented
222C23×Dic43C2311yescharacteristic
223C23×Dic43C2311yescharacteristic
224C23×Dic43C2311yescharacteristic
225C23×Dic43C2311yescharacteristic
226C23×Dic43C2311yescharacteristic, complemented
227C22×C4×D43—24no—
228C22×C4×D43—24no—
229C22×C4×D43—42no—
230C22×C4×D43—42no—
231C22×C4×D43—42no—
232C22×C4×D43—42no—
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240C22×C4×D43C2311yescharacteristic
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244C22×C4×D43C2311yescharacteristic, complemented
245C22×C4×D43C2311yescharacteristic, complemented
246#13063295C2×C418yescomplemented
247#13063295C2×C418yescomplemented
248#13063295C2×C418yescomplemented
249#13063294C2×C418yescomplemented
250#13063293C2×C418yescomplemented
251#13063293C2×C418yescomplemented
252#13063293C2×C418yescomplemented
253C4×D172—24no—
254C4×D172—42no—
255D4×Dic43—24no—
256D4×Dic43—42no—
257#13063287—24no—
258#13063287—42no—
259C4×C22⋊D43—24no—
260C4×C22⋊D43—24no—
261C4×C22⋊D43—42no—
262C4×C22⋊D43—42no—
263(C22⋊D43)⋊C4—24no—
264(C22⋊D43)⋊C4—24no—
265(C22⋊D43)⋊C4—42no—
266(C22⋊D43)⋊C4—42no—
267#13063283—24no—
268#13063282—24no—
269C2×C4⋊Dic43C2311yescharacteristic, complemented
270C2×C4⋊Dic43C2311yescharacteristic, complemented
271C2×C4⋊Dic43C2311yescharacteristic, complemented
272C2×Dic43⋊C4C2311yescharacteristic, complemented
273C2×Dic43⋊C4C2311yescharacteristic, complemented
274C2×Dic43⋊C4C2311yescharacteristic, complemented
275C2×Dic43⋊C4C2311yescharacteristic, complemented
276C2×Dic43⋊C4C2311yescharacteristic, complemented
277C2×Dic43⋊C4C2311yescharacteristic, complemented
278C2×C22⋊Dic43—24no—
279C2×C22⋊Dic43—42no—
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic, complemented
292C2×C22⋊Dic43C2311yescharacteristic, complemented
293C2×C22⋊Dic43C2311yescharacteristic, complemented
294C2×(C2×D43)⋊C4—24no—
295C2×(C2×D43)⋊C4—24no—
296C2×(C2×D43)⋊C4—24no—
297C2×(C2×D43)⋊C4—24no—
298C2×(C2×D43)⋊C4—24no—
299C2×(C2×D43)⋊C4—42no—
300C2×(C2×D43)⋊C4—42no—
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
332C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
333C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
334C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
335C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
336C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
337C22⋊C4×D43—24no—
338C22⋊C4×D43—24no—
339C22⋊C4×D43—24no—
340C22⋊C4×D43—24no—
341C22⋊C4×D43—24no—
342C22⋊C4×D43—24no—
343C22⋊C4×D43—24no—
344C22⋊C4×D43—24no—
345C22⋊C4×D43C2×C418yescomplemented
346C22⋊C4×D43C2×C418yescomplemented
347C22⋊C4×D43C2×C418yescomplemented
348C22⋊C4×D43D418yescomplemented
349C2×C4×Dic43C2311yescharacteristic, complemented
350C2×C4×Dic43C2311yescharacteristic, complemented
351C2×C4×Dic43C2311yescharacteristic, complemented
352C2×C4×Dic43C2311yescharacteristic, complemented
353C2×C4×Dic43C2311yescharacteristic, complemented
354C2×C4×Dic43C2311yescharacteristic, complemented
355C2×C4×Dic43C2311yescharacteristic, complemented
356C2×C4×Dic43C2311yescharacteristic, complemented
357C2×C4×Dic43C2311yescharacteristic, complemented
358C43⋊#95C2311yescharacteristic, complemented
359C43⋊#95C2311yescharacteristic, complemented
360C43⋊#95C2311yescharacteristic, complemented
361C43⋊#95C2311yescharacteristic, complemented
362C43⋊#95C2311yescharacteristic, complemented
363C43⋊#95C2311yescharacteristic, complemented
364C43⋊#95C2311yescharacteristic, complemented
365C43⋊#95C2311yescharacteristic, complemented
366C43⋊#95C2311yescharacteristic, complemented
367C43⋊#95C2311yescharacteristic, complemented
368C43⋊#95C2311yescharacteristic, complemented
369C43⋊#95C2311yescharacteristic, complemented
370C43⋊#95C2311yescharacteristic, complemented
371C43⋊#95C2311yescharacteristic, complemented
372C43⋊#95C2311yescharacteristic, complemented
373C43⋊#95C2311yescharacteristic, complemented
374C43⋊#95C2311yescharacteristic, complemented
375C43⋊#95C2311yescharacteristic, complemented
376C25×C43C2311yescharacteristic
377C22×D4×C43C2311yescharacteristic
378C22×D4×C43C2311yescharacteristic
379C22×D4×C43C2311yescharacteristic
380C23×C4×C43C2311yescharacteristic
381C23×C4×C43C2311yescharacteristic
382C23×C4×C43C2311yescharacteristic
383C23×C4×C43C2311yescharacteristic
384C23×C4×C43C2311yescharacteristic, complemented
385#120×C43C2×C418yescomplemented
386C4×D4×C43—24no—
387C4×D4×C43—42no—
388C2×C4⋊C4×C43C2311yescharacteristic, complemented
389C2×C4⋊C4×C43C2311yescharacteristic, complemented
390C2×C4⋊C4×C43C2311yescharacteristic, complemented
391C2×C22⋊C4×C43—24no—
392C2×C22⋊C4×C43—42no—
393C2×C22⋊C4×C43C2311yescharacteristic
394C2×C22⋊C4×C43C2311yescharacteristic
395C2×C22⋊C4×C43C2311yescharacteristic
396C2×C22⋊C4×C43C2311yescharacteristic
397C2×C22⋊C4×C43C2311yescharacteristic
398C2×C22⋊C4×C43C2311yescharacteristic
399C2×C22⋊C4×C43C2311yescharacteristic
400C2×C22⋊C4×C43C2311yescharacteristic
401C2×C22⋊C4×C43C2311yescharacteristic
402C2×C22⋊C4×C43C2311yescharacteristic
403C2×C22⋊C4×C43C2311yescharacteristic
404C2×C22⋊C4×C43C2311yescharacteristic, complemented
405C2×C22⋊C4×C43C2311yescharacteristic, complemented
406C2×C22⋊C4×C43C2311yescharacteristic, complemented
407C2×C42×C43C2311yescharacteristic, complemented
408C2×C42×C43C2311yescharacteristic, complemented
409C2×C42×C43C2311yescharacteristic, complemented
410#95×C43C2311yescharacteristic, complemented
411#95×C43C2311yescharacteristic, complemented
412#95×C43C2311yescharacteristic, complemented
413#95×C43C2311yescharacteristic, complemented
414#95×C43C2311yescharacteristic, complemented
415#95×C43C2311yescharacteristic, complemented
416C24×C43—22no—
417C24×C43—22no—
418C24×C43—22no—
419C24×C43—22no—
420C24×C43—41no—
421C24×C43—41no—
422C24×C43C22×C414yes—
423C24×C43C2411yescharacteristic
424C24×C43C2411yescharacteristic
425C24×C43C2411yescharacteristic
426C24×C43C2411yescharacteristic
427C23×D43—22no—
428C23×D43—22no—
429C23×D43—22no—
430C23×D43—22no—
431C23×D43—22no—
432C23×D43—22no—
433C23×D43—22no—
434C23×D43—22no—
435C23×D43—22no—
436C23×D43—22no—
437C23×D43—232no—
438C23×D43—22no—
439C23×D43—22no—
440C23×D43—22no—
441C23×D43—22no—
442C23×D43—22no—
443C23×D43—22no—
444C23×D43—22no—
445C23×D43—22no—
446C23×D43—22no—
447C23×D43—22no—
448C23×D43—22no—
449C23×D43—22no—
450C23×D43—416no—
451C23×D43—416no—
452C23×D43—41no—
453C23×D43—41no—
454C23×D43—41no—
455C23×D43—41no—
456C23×D43—41no—
457C23×D43—41no—
458C23×D43—41no—
459C23×D43—41no—
460C23×D43—41no—
461C23×D43—41no—
462C23×D43—41no—
463C23×D43—41no—
464C23×D43—41no—
465C23×D43—41no—
466C23×D43—41no—
467C23×D43—41no—
468C23×D43—41no—
469C23×D43—41no—
470C23×D43—416no—
471C23×D43—416no—
472C23×D43—416no—
473C23×D43—416no—
474C23×D43C22×C414yes—
475C23×D43C22×C414yes—
476C23×D43C22×C414yes—
477C23×D43C22×C414yes—
478C23×D43C22×C414yes—
479C23×D43C22×C414yes—
480C23×D43C22×C414yescomplemented
481C23×D43C2×D414yes—
482C23×D43#4114yes—
483C23×D43C2411yescharacteristic
484C23×D43C2411yescharacteristic
485C23×D43C2411yescharacteristic
486C23×D43C2411yescharacteristic
487C23×D43C2411yescharacteristic
488C2×D4×C43—22no—
489C2×D4×C43—22no—
490C2×D4×C43—22no—
491C2×D4×C43—22no—
492C2×D4×C43—41no—
493C2×D4×C43—41no—
494C2×D4×C43C22×C414yes—
495C2×D4×C43C22×C414yescomplemented
496C2×D4×C43C22×C414yescomplemented
497C22×C4×C43—22no—
498C22×C4×C43—22no—
499C22×C4×C43—22no—
500C22×C4×C43—22no—
501C22×C4×C43—22no—
502C22×C4×C43—22no—
503C22×C4×C43—22no—
504C22×C4×C43—41no—
505C22×C4×C43—41no—
506C22×C4×C43—41no—
507C22×C4×C43—41no—
508C22×C4×C43—41no—
509C22×C4×C43—41no—
510C22×C4×C43—41no—
511C22×C4×C43—41no—
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C2×C22⋊D43—22no—
524C2×C22⋊D43—22no—
525C2×C22⋊D43—22no—
526C2×C22⋊D43—22no—
527C2×C22⋊D43—22no—
528C2×C22⋊D43—22no—
529C2×C22⋊D43—22no—
530C2×C22⋊D43—22no—
531C2×C22⋊D43—41no—
532C2×C22⋊D43—41no—
533C2×C22⋊D43—41no—
534C2×C22⋊D43—41no—
535C2×C22⋊D43C22×C414yes—
536C2×C22⋊D43C22×C414yes—
537C2×C22⋊D43C22×C414yes—
538C2×C22⋊D43C22×C414yescomplemented
539C2×C22⋊D43C22×C414yescomplemented
540C2×C22⋊D43C22×C414yescomplemented
541C22×Dic43—22no—
542C22×Dic43—22no—
543C22×Dic43—22no—
544C22×Dic43—22no—
545C22×Dic43—22no—
546C22×Dic43—22no—
547C22×Dic43—22no—
548C22×Dic43—41no—
549C22×Dic43—41no—
550C22×Dic43—41no—
551C22×Dic43—41no—
552C22×Dic43—41no—
553C22×Dic43—41no—
554C22×Dic43—41no—
555C22×Dic43—41no—
556C22×Dic43C2411yescharacteristic
557C22×Dic43C2411yescharacteristic
558C22×Dic43C2411yescharacteristic
559C22×Dic43C2411yescharacteristic
560C22×Dic43C2411yescharacteristic
561C22×Dic43C2411yescharacteristic
562C22×Dic43C2411yescharacteristic
563C22×Dic43C2411yescharacteristic
564C22×Dic43C2411yescharacteristic
565C22×Dic43C2411yescharacteristic
566C22×Dic43C2411yescharacteristic
567D4×D43—232no—
568D4×D43—416no—
569D4×D43—416no—
570C2×D172—22no—
571C2×D172—22no—
572C2×D172—22no—
573C2×D172—22no—
574C2×D172—41no—
575C2×D172—41no—
576C2×D172C22×C414yes—
577C2×D172C22×C414yes—
578C2×D172C22×C414yescomplemented
579C2×C4×D43—22no—
580C2×C4×D43—22no—
581C2×C4×D43—22no—
582C2×C4×D43—22no—
583C2×C4×D43—22no—
584C2×C4×D43—22no—
585C2×C4×D43—22no—
586C2×C4×D43—22no—
587C2×C4×D43—22no—
588C2×C4×D43—22no—
589C2×C4×D43—22no—
590C2×C4×D43—22no—
591C2×C4×D43—22no—
592C2×C4×D43—22no—
593C2×C4×D43—41no—
594C2×C4×D43—41no—
595C2×C4×D43—41no—
596C2×C4×D43—41no—
597C2×C4×D43—41no—
598C2×C4×D43—41no—
599C2×C4×D43—41no—
600C2×C4×D43—41no—
601C2×C4×D43—41no—
602C2×C4×D43—41no—
603C2×C4×D43—41no—
604C2×C4×D43—41no—
605C2×C4×D43—41no—
606C2×C4×D43—41no—
607C2×C4×D43—41no—
608C2×C4×D43—41no—
609C2×C4×D43—416no—
610C2×C4×D43—416no—
611C2×C4×D43—41no—
612C2×C4×D43—41no—
613C2×C4×D43—41no—
614C2×C4×D43—41no—
615C2×C4×D43C22×C414yescomplemented
616C2×C4×D43C22×C414yescomplemented
617C2×C4×D43C22×C414yescomplemented
618C2×C4×D43C2×D414yescomplemented
619C2×C4×D43C2×D414yescomplemented
620C4⋊C4×C43—22no—
621C4⋊C4×C43—41no—
622C4⋊C4×C43—41no—
623C22⋊C4×C43—22no—
624C22⋊C4×C43—22no—
625C22⋊C4×C43—22no—
626C22⋊C4×C43—22no—
627C22⋊C4×C43—22no—
628C22⋊C4×C43—22no—
629C22⋊C4×C43—41no—
630C22⋊C4×C43—41no—
631C22⋊C4×C43—41no—
632C22⋊C4×C43—41no—
633C22⋊C4×C43C22×C414yes—
634C22⋊C4×C43C22×C414yescomplemented
635C22⋊C4×C43C22×C414yescomplemented
636C22⋊C4×C43C2×D414yescomplemented
637C42×C43—22no—
638C42×C43—41no—
639C42×C43—41no—
640C22⋊Dic43—22no—
641C22⋊Dic43—22no—
642C22⋊Dic43—22no—
643C22⋊Dic43—22no—
644C22⋊Dic43—22no—
645C22⋊Dic43—22no—
646C22⋊Dic43—41no—
647C22⋊Dic43—41no—
648C22⋊Dic43—41no—
649C22⋊Dic43—41no—
650C22⋊Dic43C22×C414yes—
651C22⋊Dic43C22×C414yescomplemented
652C22⋊Dic43C22×C414yescomplemented
653C22⋊Dic43C2×D414yescomplemented
654(C2×D43)⋊C4—22no—
655(C2×D43)⋊C4—22no—
656(C2×D43)⋊C4—22no—
657(C2×D43)⋊C4—22no—
658(C2×D43)⋊C4—22no—
659(C2×D43)⋊C4—22no—
660(C2×D43)⋊C4—22no—
661(C2×D43)⋊C4—22no—
662(C2×D43)⋊C4—22no—
663(C2×D43)⋊C4—22no—
664(C2×D43)⋊C4—22no—
665(C2×D43)⋊C4—22no—
666(C2×D43)⋊C4—22no—
667(C2×D43)⋊C4—22no—
668(C2×D43)⋊C4—22no—
669(C2×D43)⋊C4—22no—
670(C2×D43)⋊C4—22no—
671(C2×D43)⋊C4—22no—
672(C2×D43)⋊C4—22no—
673(C2×D43)⋊C4—22no—
674(C2×D43)⋊C4—41no—
675(C2×D43)⋊C4—41no—
676(C2×D43)⋊C4—41no—
677(C2×D43)⋊C4—41no—
678(C2×D43)⋊C4—41no—
679(C2×D43)⋊C4—41no—
680(C2×D43)⋊C4—41no—
681(C2×D43)⋊C4—41no—
682(C2×D43)⋊C4C22×C414yes—
683(C2×D43)⋊C4C22×C414yes—
684(C2×D43)⋊C4C22×C414yes—
685(C2×D43)⋊C4C22×C414yes—
686(C2×D43)⋊C4C22×C414yescomplemented
687(C2×D43)⋊C4C22×C414yescomplemented
688(C2×D43)⋊C4C2×D414yes—
689(C2×D43)⋊C4C2×D414yes—
690C4⋊Dic43—22no—
691C4⋊Dic43—41no—
692C4⋊Dic43—41no—
693Dic43⋊C4—22no—
694Dic43⋊C4—22no—
695Dic43⋊C4—41no—
696Dic43⋊C4—41no—
697Dic43⋊C4—41no—
698Dic43⋊C4—41no—
699C4×Dic43—22no—
700C4×Dic43—22no—
701C4×Dic43—22no—
702C4×Dic43—41no—
703C4×Dic43—41no—
704C4×Dic43—41no—
705C4×Dic43—41no—
706C4×Dic43—41no—
707C4×Dic43—41no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—21no—
711C23×C43—21no—
712C23×C43—21no—
713C23×C43—21no—
714C23×C43—21no—
715C23×C43—21no—
716C23×C43—28no—
717C23×C43—28no—
718C23×C43—21no—
719C23×C43—21no—
720C23×C43—21no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—21no—
725C23×C43—21no—
726C23×C43—21no—
727C23×C43—21no—
728C23×C43—21no—
729C23×C43—21no—
730C23×C43—44no—
731C23×C43—44no—
732C23×C43—44no—
733C23×C43—44no—
734C23×C43—44no—
735C23×C43C23×C412yes—
736C23×C43C23×C412yes—
737C23×C43C23×C412yes—
738C23×C43C23×C412yes—
739C23×C43C22×D412yes—
740C23×C43C2×#4112yes—
741C23×C43H(5,𝔽2)12yes—
742C23×C43H(5,𝔽2)12yes—
743C23×C43C2511yescharacteristic
744C22×D43—28no—
745C22×D43—28no—
746C22×D43—28no—
747C22×D43—28no—
748C22×D43—28no—
749C22×D43—21no—
750C22×D43—21no—
751C22×D43—21no—
752C22×D43—21no—
753C22×D43—21no—
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—21no—
757C22×D43—21no—
758C22×D43—21no—
759C22×D43—21no—
760C22×D43—21no—
761C22×D43—28no—
762C22×D43—28no—
763C22×D43—28no—
764C22×D43—28no—
765C22×D43—21no—
766C22×D43—21no—
767C22×D43—21no—
768C22×D43—21no—
769C22×D43—21no—
770C22×D43—21no—
771C22×D43—21no—
772C22×D43—21no—
773C22×D43—21no—
774C22×D43—21no—
775C22×D43—21no—
776C22×D43—21no—
777C22×D43—28no—
778C22×D43—28no—
779C22×D43—28no—
780C22×D43—28no—
781C22×D43—28no—
782C22×D43—28no—
783C22×D43—44no—
784C22×D43—44no—
785C22×D43—44no—
786C22×D43—44no—
787C22×D43—44no—
788C22×D43—44no—
789C22×D43—44no—
790C22×D43—44no—
791C22×D43—44no—
792C22×D43—44no—
793C22×D43—44no—
794C22×D43—44no—
795C22×D43—44no—
796C22×D43—44no—
797C22×D43—44no—
798C22×D43—44no—
799C22×D43—44no—
800C22×D43—44no—
801C22×D43—44no—
802C22×D43—44no—
803C22×D43—44no—
804C22×D43—44no—
805C22×D43—44no—
806C22×D43—44no—
807C22×D43—44no—
808C22×D43—4128no—
809C22×D43—44no—
810C22×D43—44no—
811C22×D43—44no—
812C22×D43—44no—
813C22×D43—82no—
814C22×D43—82no—
815C22×D43—82no—
816C22×D43—82no—
817C22×D43C4×D4116yescomplemented
818C22×D43C23×C412yes—
819C22×D43C23×C412yes—
820C22×D43C23×C412yes—
821C22×D43C23×C412yes—
822C22×D43C23×C412yes—
823C22×D43C22×D412yes—
824C22×D43C22×D412yes—
825C22×D43C2×#4112yes—
826C22×D43C2×#4112yes—
827C22×D43H(5,𝔽2)12yes—
828C22×D43H(5,𝔽2)12yes—
829D4×C43—28no—
830D4×C43—28no—
831D4×C43—44no—
832C2×C4×C43—21no—
833C2×C4×C43—21no—
834C2×C4×C43—21no—
835C2×C4×C43—21no—
836C2×C4×C43—21no—
837C2×C4×C43—21no—
838C2×C4×C43—21no—
839C2×C4×C43—21no—
840C2×C4×C43—21no—
841C2×C4×C43—21no—
842C2×C4×C43—21no—
843C2×C4×C43—21no—
844C2×C4×C43—21no—
845C2×C4×C43—21no—
846C2×C4×C43—21no—
847C2×C4×C43—21no—
848C2×C4×C43—21no—
849C2×C4×C43—21no—
850C2×C4×C43—21no—
851C2×C4×C43—21no—
852C2×C4×C43—21no—
853C2×C4×C43—21no—
854C2×C4×C43—21no—
855C2×C4×C43—21no—
856C2×C4×C43—21no—
857C2×C4×C43—21no—
858C2×C4×C43—21no—
859C2×C4×C43—21no—
860C2×C4×C43—44no—
861C2×C4×C43—44no—
862C2×C4×C43—82no—
863C2×C4×C43—82no—
864C2×C4×C43—82no—
865C2×C4×C43C23×C412yes—
866C2×C4×C43C23×C412yes—
867C2×C4×C43C23×C412yes—
868C2×C4×C43C22×D412yes—
869C2×C4×C43C22×D412yes—
870C22⋊D43—28no—
871C22⋊D43—28no—
872C22⋊D43—28no—
873C22⋊D43—28no—
874C22⋊D43—44no—
875C22⋊D43—44no—
876C2×Dic43—21no—
877C2×Dic43—21no—
878C2×Dic43—21no—
879C2×Dic43—21no—
880C2×Dic43—21no—
881C2×Dic43—21no—
882C2×Dic43—21no—
883C2×Dic43—21no—
884C2×Dic43—21no—
885C2×Dic43—21no—
886C2×Dic43—21no—
887C2×Dic43—21no—
888C2×Dic43—21no—
889C2×Dic43—21no—
890C2×Dic43—21no—
891C2×Dic43—21no—
892C2×Dic43—21no—
893C2×Dic43—21no—
894C2×Dic43—21no—
895C2×Dic43—21no—
896C2×Dic43—21no—
897C2×Dic43—21no—
898C2×Dic43—21no—
899C2×Dic43—21no—
900C2×Dic43—21no—
901C2×Dic43—21no—
902C2×Dic43—21no—
903C2×Dic43—21no—
904C2×Dic43—44no—
905C2×Dic43—44no—
906C2×Dic43—82no—
907C2×Dic43—82no—
908C2×Dic43—82no—
909C2×Dic43C23×C412yes—
910C2×Dic43C23×C412yes—
911C2×Dic43C23×C412yes—
912C2×Dic43C22×D412yes—
913C2×Dic43C22×D412yes—
914D172—28no—
915D172—28no—
916D172—44no—
917C4×D43—28no—
918C4×D43—44no—
919C4×D43—44no—
920C4×D43—44no—
921C4×D43—44no—
922C4×D43—44no—
923C4×D43—44no—
924C4×D43—44no—
925C4×D43—44no—
926C4×D43—44no—
927C4×D43—44no—
928C4×D43—82no—
929C4×D43—82no—
930#34198—431nomaximal, Sylow
931C22×C43—22no—
932C22×C43—22no—
933C22×C43—22no—
934C22×C43—22no—
935C22×C43—22no—
936C22×C43—22no—
937C22×C43—22no—
938C22×C43—22no—
939C22×C43—22no—
940C22×C43—22no—
941C22×C43—22no—
942C22×C43—22no—
943C22×C43—22no—
944C22×C43—22no—
945C22×C43—22no—
946C22×C43—22no—
947C22×C43—22no—
948C22×C43—22no—
949C22×C43—416no—
950C22×C43—41no—
951C22×C43—41no—
952C22×C43—41no—
953C22×C43—41no—
954C22×C43—41no—
955C22×C43—41no—
956C22×C43—41no—
957C22×C43—41no—
958C22×C43C2×C4×D414yes—
959C22×C43#51814yescomplemented
960C22×C43C24×C411yescharacteristic
961C22×C43C23×D411yescharacteristic
962C22×C43C22×#4111yescharacteristic
963C22×C43C2×H(5,𝔽2)11yescharacteristic
964C22×C43C2×H(5,𝔽2)11yescharacteristic
965C22×C43C2×H(5,𝔽2)11yescharacteristic
966C22×C43C2×H(5,𝔽2)11yescharacteristic
967C2×D43—232no—
968C2×D43—22no—
969C2×D43—22no—
970C2×D43—22no—
971C2×D43—22no—
972C2×D43—22no—
973C2×D43—22no—
974C2×D43—22no—
975C2×D43—22no—
976C2×D43—22no—
977C2×D43—22no—
978C2×D43—22no—
979C2×D43—22no—
980C2×D43—22no—
981C2×D43—22no—
982C2×D43—22no—
983C2×D43—22no—
984C2×D43—22no—
985C2×D43—22no—
986C2×D43—22no—
987C2×D43—22no—
988C2×D43—22no—
989C2×D43—22no—
990C2×D43—22no—
991C2×D43—22no—
992C2×D43—416no—
993C2×D43—416no—
994C2×D43—416no—
995C2×D43—416no—
996C2×D43—416no—
997C2×D43—41no—
998C2×D43—41no—
999C2×D43—41no—
1000C2×D43—41no—
1001C2×D43—41no—
1002C2×D43—41no—
1003C2×D43—41no—
1004C2×D43—41no—
1005C2×D43—88no—
1006C2×D43C2×C4×D414yes—
1007C2×D43C2×C4×D414yes—
1008C2×D43#51814yescomplemented
1009C4×C43—22no—
1010C4×C43—22no—
1011C4×C43—22no—
1012C4×C43—22no—
1013C4×C43—22no—
1014C4×C43—41no—
1015C4×C43—41no—
1016C4×C43—41no—
1017C4×C43—41no—
1018C4×C43—41no—
1019C4×C43—41no—
1020Dic43—22no—
1021Dic43—22no—
1022Dic43—22no—
1023Dic43—22no—
1024Dic43—22no—
1025Dic43—41no—
1026Dic43—41no—
1027Dic43—41no—
1028Dic43—41no—
1029Dic43—41no—
1030Dic43—41no—
1031C22×#120—431no—
1032C2×#518—431no—
1033C23×C22⋊C4—431no—
1034#2358—431no—
1035#2358—431no—
1036#2358—431no—
1037#2358—431no—
1038#2358—431no—
1039#2358—431no—
1040#2358—431no—
1041#2358D4311yescharacteristic, complemented
1042#2342—431no—
1043#2342—431no—
1044#2342—431no—
1045#2342—431no—
1046D4×C22⋊C4—431no—
1047D4×C22⋊C4—431no—
1048D4×C22⋊C4—431no—
1049D4×C22⋊C4—431no—
1050#2321—431no—
1051#2321—431no—
1052#2321—431no—
1053#2321—431no—
1054#2315—431no—
1055#2308—431no—
1056C4×#120—431no—
1057C4×#120—431no—
1058C4×#120—431no—
1059C4×#120—431no—
1060C2×#379—431no—
1061#2273—431no—
1062C2×C43—24no—
1063C2×C43—24no—
1064C2×C43—42no—
1065C2×C43—42no—
1066C2×C43C22×C4×D411yescharacteristic
1067C2×C43C2×#51811yescharacteristic
1068C2×C43C2×#51811yescharacteristic
1069C2×C43#348411yescharacteristic
1070C2×C43#348411yescharacteristic
1071C2×C43#349011yescharacteristic
1072C2×C43#349011yescharacteristic
1073D43—24no—
1074D43—24no—
1075D43—24no—
1076D43—42no—
1077D43—42no—
1078C26—431no—
1079C23×D4—431no—
1080C23×D4—431no—
1081C23×D4—431no—
1082C24×C4—431no—
1083C24×C4—431no—
1084C2×#120—431no—
1085C2×#120—431no—
1086C2×#120—431no—
1087C2×#120—431no—
1088C2×#120—4316no—
1089C2×#120—431no—
1090C2×#120—431no—
1091C2×#120—431no—
1092C2×#120C2×D4311yescharacteristic
1093#518—868no—
1094C2×C4×D4—431no—
1095C2×C4×D4—431no—
1096C2×C4×D4—431no—
1097C2×C4×D4—431no—
1098C2×C4×D4—431no—
1099C2×C4×D4—431no—
1100C2×C4×D4—431no—
1101C2×C4×D4—431no—
1102C2×C4×D4—431no—
1103C2×C4×D4—431no—
1104C2×C4×D4—431no—
1105C2×C4×D4—431no—
1106C2×C4×D4—431no—
1107C2×C4×D4—431no—
1108C2×C4×D4C2×D4311yescharacteristic, complemented
1109C2×C4×D4C2×D4311yescharacteristic, complemented
1110C2×#117—431no—
1111C2×#117—431no—
1112C22×C22⋊C4—431no—
1113C22×C22⋊C4—431no—
1114C22×C22⋊C4—431no—
1115C22×C22⋊C4—431no—
1116C22×C22⋊C4—431no—
1117C22×C22⋊C4—431no—
1118C22×C22⋊C4—431no—
1119C22×C22⋊C4—431no—
1120C22×C22⋊C4—431no—
1121C22×C22⋊C4—431no—
1122C22×C22⋊C4—431no—
1123C22×C22⋊C4—431no—
1124C22×C22⋊C4—431no—
1125C22×C22⋊C4—431no—
1126C22×C22⋊C4—431no—
1127C22×C22⋊C4—431no—
1128C22×C22⋊C4—431no—
1129C22×C22⋊C4—431no—
1130C22×C22⋊C4—431no—
1131C22×C22⋊C4—431no—
1132C22×C22⋊C4—431no—
1133C22×C22⋊C4—868no—
1134C22×C22⋊C4C2×D4311yescharacteristic, complemented
1135C22×C22⋊C4C2×D4311yescharacteristic, complemented
1136#390—431no—
1137#390—431no—
1138#390—431no—
1139#390—431no—
1140#390—431no—
1141#390—431no—
1142#390—431no—
1143#390C2×D4311yescharacteristic, complemented
1144#388—431no—
1145#388—431no—
1146#388—431no—
1147#388—431no—
1148#388—431no—
1149#388—431no—
1150#388—431no—
1151#388—431no—
1152#388—431no—
1153#388—431no—
1154#388—431no—
1155#388—431no—
1156#388—431no—
1157#388—431no—
1158#388C2×D4311yescharacteristic, complemented
1159#388C2×D4311yescharacteristic, complemented
1160#386—431no—
1161#386—431no—
1162#386—431no—
1163#386—431no—
1164#386—431no—
1165#386—431no—
1166#386—431no—
1167#386—431no—
1168#386—431no—
1169#386—431no—
1170#386—431no—
1171#386—431no—
1172#386—431no—
1173#386—431no—
1174#386—431no—
1175#386—431no—
1176#386—431no—
1177#386—431no—
1178#386—431no—
1179#386—431no—
1180#386—431no—
1181#386C2×D4311yescharacteristic, complemented
1182#386C2×D4311yescharacteristic, complemented
1183#386C2×D4311yescharacteristic, complemented
1184#385—431no—
1185#385—431no—
1186#385—431no—
1187#385—431no—
1188#385—431no—
1189#385—431no—
1190#385—431no—
1191#385—431no—
1192#385—431no—
1193#385—431no—
1194#385—431no—
1195#385—431no—
1196#385—431no—
1197#385—431no—
1198#385C2×D4311yescharacteristic, complemented
1199#385C2×D4311yescharacteristic, complemented
1200#381—431no—
1201#381—431no—
1202#380—431no—
1203#380—431no—
1204#380—431no—
1205#380—431no—
1206#379—431no—
1207#379—431no—
1208#379—431no—
1209#379—431no—
1210#379—431no—
1211#379—431no—
1212#379—431no—
1213#379—431no—
1214#379—431no—
1215#379—431no—
1216C4×C22⋊C4—431no—
1217C4×C22⋊C4—431no—
1218C4×C22⋊C4—431no—
1219C4×C22⋊C4—431no—
1220C4×C22⋊C4—431no—
1221C4×C22⋊C4—431no—
1222C4×C22⋊C4—431no—
1223C4×C22⋊C4—431no—
1224C4×C22⋊C4—431no—
1225C4×C22⋊C4—431no—
1226C4×C22⋊C4—431no—
1227C4×C22⋊C4—431no—
1228C4×C22⋊C4—431no—
1229C4×C22⋊C4—431no—
1230C4×C22⋊C4—431no—
1231C4×C22⋊C4—431no—
1232C4×C22⋊C4—431no—
1233C4×C22⋊C4—431no—
1234C4×C22⋊C4C2×D4311yescharacteristic, complemented
1235C4×C22⋊C4C2×D4311yescharacteristic, complemented
1236C43#3419811yescharacteristic, complemented, Sylow
1237C25—431no—
1238C25—431no—
1239C25—431no—
1240C25—431no—
1241C25—431no—
1242C25—438no—
1243C25—431no—
1244C25—431no—
1245C25—864no—
1246C25—864no—
1247C25—1722no—
1248C25—1722no—
1249C25—1722no—
1250C25—1722no—
1251C25C22×D4311yescharacteristic
1252C22×D4—431no—
1253C22×D4—431no—
1254C22×D4—431no—
1255C22×D4—431no—
1256C22×D4—431no—
1257C22×D4—431no—
1258C22×D4—438no—
1259C22×D4—438no—
1260C22×D4—438no—
1261C22×D4—431no—
1262C22×D4—431no—
1263C22×D4—431no—
1264C22×D4—864no—
1265C22×D4—864no—
1266C22×D4—1722no—
1267C22×D4—1722no—
1268C22×D4—1722no—
1269C22×D4—1722no—
1270C22×D4C22×D4311yescharacteristic
1271C22×D4C22×D4311yescharacteristic
1272C22×D4C22×D4311yescharacteristic
1273C23×C4—431no—
1274C23×C4—431no—
1275C23×C4—431no—
1276C23×C4—431no—
1277C23×C4—431no—
1278C23×C4—431no—
1279C23×C4—431no—
1280C23×C4—431no—
1281C23×C4—431no—
1282C23×C4—431no—
1283C23×C4—431no—
1284C23×C4—431no—
1285C23×C4—431no—
1286C23×C4—431no—
1287C23×C4—431no—
1288C23×C4—431no—
1289C23×C4—431no—
1290C23×C4—431no—
1291C23×C4—864no—
1292C23×C4—864no—
1293C23×C4—1722no—
1294C23×C4—1722no—
1295C23×C4—1722no—
1296C23×C4—1722no—
1297C23×C4C22×D4311yescharacteristic
1298C23×C4C22×D4311yescharacteristic
1299C23×C4C22×D4311yescharacteristic
1300C23×C4C22×D4311yescharacteristic
1301C23×C4C22×D4311yescharacteristic, complemented
1302#120—438no—
1303#120—438no—
1304#120—438no—
1305#120—438no—
1306#120—438no—
1307#120—438no—
1308#120—438no—
1309#120C4×D4318yescomplemented
1310C4×D4—24no—
1311C4×D4—42no—
1312C4×D4—864no—
1313C4×D4—864no—
1314C4×D4—864no—
1315C4×D4—864no—
1316C4×D4—864no—
1317C4×D4—864no—
1318C4×D4—864no—
1319C4×D4—1722no—
1320C4×D4—1722no—
1321C4×D4—1722no—
1322C4×D4—1722no—
1323C4×D4—1722no—
1324C4×D4—1722no—
1325C4×D4—1722no—
1326#117—864no—
1327#117—864no—
1328C2×C4⋊C4—431no—
1329C2×C4⋊C4—431no—
1330C2×C4⋊C4—431no—
1331C2×C4⋊C4—431no—
1332C2×C4⋊C4—431no—
1333C2×C4⋊C4—431no—
1334C2×C4⋊C4—431no—
1335C2×C4⋊C4—431no—
1336C2×C4⋊C4—431no—
1337C2×C4⋊C4C22×D4311yescharacteristic, complemented
1338C2×C4⋊C4C22×D4311yescharacteristic, complemented
1339C2×C4⋊C4C22×D4311yescharacteristic, complemented
1340C2×C22⋊C4—24no—
1341C2×C22⋊C4—42no—
1342C2×C22⋊C4—431no—
1343C2×C22⋊C4—431no—
1344C2×C22⋊C4—431no—
1345C2×C22⋊C4—431no—
1346C2×C22⋊C4—431no—
1347C2×C22⋊C4—431no—
1348C2×C22⋊C4—431no—
1349C2×C22⋊C4—431no—
1350C2×C22⋊C4—431no—
1351C2×C22⋊C4—431no—
1352C2×C22⋊C4—431no—
1353C2×C22⋊C4—431no—
1354C2×C22⋊C4—438no—
1355C2×C22⋊C4—438no—
1356C2×C22⋊C4—438no—
1357C2×C22⋊C4—438no—
1358C2×C22⋊C4—431no—
1359C2×C22⋊C4—431no—
1360C2×C22⋊C4—431no—
1361C2×C22⋊C4—431no—
1362C2×C22⋊C4—431no—
1363C2×C22⋊C4—431no—
1364C2×C22⋊C4—431no—
1365C2×C22⋊C4—431no—
1366C2×C22⋊C4—431no—
1367C2×C22⋊C4—431no—
1368C2×C22⋊C4—431no—
1369C2×C22⋊C4—431no—
1370C2×C22⋊C4—431no—
1371C2×C22⋊C4—431no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—431no—
1375C2×C22⋊C4—431no—
1376C2×C22⋊C4—431no—
1377C2×C22⋊C4—431no—
1378C2×C22⋊C4—431no—
1379C2×C22⋊C4—431no—
1380C2×C22⋊C4—431no—
1381C2×C22⋊C4—431no—
1382C2×C22⋊C4—431no—
1383C2×C22⋊C4—431no—
1384C2×C22⋊C4—431no—
1385C2×C22⋊C4—431no—
1386C2×C22⋊C4—431no—
1387C2×C22⋊C4—431no—
1388C2×C22⋊C4—431no—
1389C2×C22⋊C4—431no—
1390C2×C22⋊C4—431no—
1391C2×C22⋊C4—431no—
1392C2×C22⋊C4—431no—
1393C2×C22⋊C4—431no—
1394C2×C22⋊C4—431no—
1395C2×C22⋊C4—431no—
1396C2×C22⋊C4—864no—
1397C2×C22⋊C4—864no—
1398C2×C22⋊C4—864no—
1399C2×C22⋊C4—864no—
1400C2×C22⋊C4—864no—
1401C2×C22⋊C4—864no—
1402C2×C22⋊C4—864no—
1403C2×C22⋊C4—864no—
1404C2×C22⋊C4—864no—
1405C2×C22⋊C4—864no—
1406C2×C22⋊C4—864no—
1407C2×C22⋊C4—864no—
1408C2×C22⋊C4—864no—
1409C2×C22⋊C4—864no—
1410C2×C22⋊C4—1722no—
1411C2×C22⋊C4—1722no—
1412C2×C22⋊C4—1722no—
1413C2×C22⋊C4C22×D4311yescharacteristic
1414C2×C22⋊C4C22×D4311yescharacteristic
1415C2×C22⋊C4C22×D4311yescharacteristic
1416C2×C22⋊C4C22×D4311yescharacteristic
1417C2×C22⋊C4C22×D4311yescharacteristic
1418C2×C22⋊C4C22×D4311yescharacteristic
1419C2×C22⋊C4C22×D4311yescharacteristic
1420C2×C22⋊C4C22×D4311yescharacteristic
1421C2×C22⋊C4C22×D4311yescharacteristic
1422C2×C22⋊C4C22×D4311yescharacteristic
1423C2×C22⋊C4C22×D4311yescharacteristic
1424C2×C22⋊C4C22×D4311yescharacteristic, complemented
1425C2×C22⋊C4C22×D4311yescharacteristic, complemented
1426C2×C22⋊C4C22×D4311yescharacteristic, complemented
1427C2×C42—431no—
1428C2×C42—431no—
1429C2×C42—431no—
1430C2×C42—431no—
1431C2×C42—431no—
1432C2×C42—431no—
1433C2×C42—431no—
1434C2×C42—431no—
1435C2×C42—431no—
1436C2×C42C22×D4311yescharacteristic, complemented
1437C2×C42C22×D4311yescharacteristic, complemented
1438C2×C42C22×D4311yescharacteristic, complemented
1439#95—431no—
1440#95—431no—
1441#95—431no—
1442#95—431no—
1443#95—431no—
1444#95—431no—
1445#95—431no—
1446#95—431no—
1447#95—431no—
1448#95—431no—
1449#95—431no—
1450#95—431no—
1451#95—431no—
1452#95—431no—
1453#95—431no—
1454#95—431no—
1455#95—431no—
1456#95—431no—
1457#95C22×D4311yescharacteristic, complemented
1458#95C22×D4311yescharacteristic, complemented
1459#95C22×D4311yescharacteristic, complemented
1460#95C22×D4311yescharacteristic, complemented
1461#95C22×D4311yescharacteristic, complemented
1462#95C22×D4311yescharacteristic, complemented
1463C24—22no—
1464C24—22no—
1465C24—22no—
1466C24—22no—
1467C24—41no—
1468C24—41no—
1469C24—431no—
1470C24—431no—
1471C24—431no—
1472C24—434no—
1473C24—434no—
1474C24—434no—
1475C24—434no—
1476C24—431no—
1477C24—431no—
1478C24—434no—
1479C24—434no—
1480C24—434no—
1481C24—434no—
1482C24—434no—
1483C24—862no—
1484C24—862no—
1485C24—862no—
1486C24—862no—
1487C24—862no—
1488C24—862no—
1489C24—862no—
1490C24—862no—
1491C24—862no—
1492C24—862no—
1493C24—862no—
1494C24—862no—
1495C24—862no—
1496C24—862no—
1497C24—8632no—
1498C24—862no—
1499C24—862no—
1500C24—862no—
1501C24—862no—
1502C24—862no—
1503C24—862no—
1504C24—862no—
1505C24—862no—
1506C24—1721no—
1507C24—1721no—
1508C24—1721no—
1509C24—1721no—
1510C24—1721no—
1511C24—1721no—
1512C24—1721no—
1513C24—1721no—
1514C24—1721no—
1515C24—1721no—
1516C24—1721no—
1517C24—1721no—
1518C24—17216no—
1519C24—1721no—
1520C24—1721no—
1521C24—1721no—
1522C24—1721no—
1523C24—1721no—
1524C24—1721no—
1525C24—17216no—
1526C24—17216no—
1527C24—17216no—
1528C24—17216no—
1529C24—17216no—
1530C24C2×C4×D4314yes—
1531C24C23×D4311yescharacteristic
1532C24C23×D4311yescharacteristic
1533C24C23×D4311yescharacteristic
1534C24C23×D4311yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—22no—
1538C2×D4—22no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—434no—
1542C2×D4—434no—
1543C2×D4—434no—
1544C2×D4—434no—
1545C2×D4—434no—
1546C2×D4—434no—
1547C2×D4—434no—
1548C2×D4—434no—
1549C2×D4—434no—
1550C2×D4—862no—
1551C2×D4—862no—
1552C2×D4—862no—
1553C2×D4—862no—
1554C2×D4—8632no—
1555C2×D4—862no—
1556C2×D4—862no—
1557C2×D4—862no—
1558C2×D4—862no—
1559C2×D4—862no—
1560C2×D4—862no—
1561C2×D4—862no—
1562C2×D4—862no—
1563C2×D4—1721no—
1564C2×D4—1721no—
1565C2×D4—1721no—
1566C2×D4—1721no—
1567C2×D4—1721no—
1568C2×D4—1721no—
1569C2×D4—17216no—
1570C2×D4—17216no—
1571C2×D4C2×C4×D4314yes—
1572C2×D4C2×C4×D4314yescomplemented
1573C2×D4C2×C4×D4314yescomplemented
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—431no—
1590C22×C4—431no—
1591C22×C4—431no—
1592C22×C4—431no—
1593C22×C4—431no—
1594C22×C4—434no—
1595C22×C4—434no—
1596C22×C4—434no—
1597C22×C4—434no—
1598C22×C4—434no—
1599C22×C4—431no—
1600C22×C4—431no—
1601C22×C4—431no—
1602C22×C4—431no—
1603C22×C4—431no—
1604C22×C4—431no—
1605C22×C4—862no—
1606C22×C4—862no—
1607C22×C4—862no—
1608C22×C4—862no—
1609C22×C4—862no—
1610C22×C4—862no—
1611C22×C4—862no—
1612C22×C4—862no—
1613C22×C4—862no—
1614C22×C4—862no—
1615C22×C4—862no—
1616C22×C4—862no—
1617C22×C4—862no—
1618C22×C4—862no—
1619C22×C4—862no—
1620C22×C4—862no—
1621C22×C4—862no—
1622C22×C4—862no—
1623C22×C4—862no—
1624C22×C4—862no—
1625C22×C4—862no—
1626C22×C4—1721no—
1627C22×C4—1721no—
1628C22×C4—1721no—
1629C22×C4—1721no—
1630C22×C4—1721no—
1631C22×C4—1721no—
1632C22×C4—1721no—
1633C22×C4—1721no—
1634C22×C4—1721no—
1635C22×C4—1721no—
1636C22×C4—1721no—
1637C22×C4—1721no—
1638C22×C4—1721no—
1639C22×C4—1721no—
1640C22×C4—1721no—
1641C22×C4—1721no—
1642C22×C4—1721no—
1643C22×C4—1721no—
1644C22×C4—1721no—
1645C22×C4—1721no—
1646C22×C4—17216no—
1647C22×C4—17216no—
1648C22×C4—1721no—
1649C22×C4—1721no—
1650C22×C4—1721no—
1651C22×C4—1721no—
1652C22×C4—1721no—
1653C22×C4—1721no—
1654C22×C4—1721no—
1655C22×C4—1721no—
1656C22×C4C23×D4311yescharacteristic
1657C22×C4C23×D4311yescharacteristic
1658C22×C4C23×D4311yescharacteristic
1659C22×C4C23×D4311yescharacteristic
1660C22×C4C23×D4311yescharacteristic
1661C22×C4C23×D4311yescharacteristic
1662C22×C4C23×D4311yescharacteristic
1663C22×C4C23×D4311yescharacteristic
1664C22×C4C23×D4311yescharacteristic
1665C22×C4C23×D4311yescharacteristic
1666C22×C4C23×D4311yescharacteristic
1667C4⋊C4—22no—
1668C4⋊C4—41no—
1669C4⋊C4—41no—
1670C4⋊C4—862no—
1671C4⋊C4—862no—
1672C4⋊C4—862no—
1673C4⋊C4—1721no—
1674C4⋊C4—1721no—
1675C4⋊C4—1721no—
1676C4⋊C4—1721no—
1677C4⋊C4—1721no—
1678C4⋊C4—1721no—
1679C22⋊C4—22no—
1680C22⋊C4—22no—
1681C22⋊C4—22no—
1682C22⋊C4—22no—
1683C22⋊C4—22no—
1684C22⋊C4—22no—
1685C22⋊C4—41no—
1686C22⋊C4—41no—
1687C22⋊C4—41no—
1688C22⋊C4—41no—
1689C22⋊C4—434no—
1690C22⋊C4—434no—
1691C22⋊C4—434no—
1692C22⋊C4—434no—
1693C22⋊C4—434no—
1694C22⋊C4—434no—
1695C22⋊C4—434no—
1696C22⋊C4—434no—
1697C22⋊C4—434no—
1698C22⋊C4—434no—
1699C22⋊C4—434no—
1700C22⋊C4—434no—
1701C22⋊C4—862no—
1702C22⋊C4—862no—
1703C22⋊C4—862no—
1704C22⋊C4—862no—
1705C22⋊C4—862no—
1706C22⋊C4—862no—
1707C22⋊C4—862no—
1708C22⋊C4—862no—
1709C22⋊C4—862no—
1710C22⋊C4—862no—
1711C22⋊C4—862no—
1712C22⋊C4—862no—
1713C22⋊C4—862no—
1714C22⋊C4—862no—
1715C22⋊C4—862no—
1716C22⋊C4—862no—
1717C22⋊C4—862no—
1718C22⋊C4—862no—
1719C22⋊C4—862no—
1720C22⋊C4—862no—
1721C22⋊C4—862no—
1722C22⋊C4—862no—
1723C22⋊C4—862no—
1724C22⋊C4—862no—
1725C22⋊C4—862no—
1726C22⋊C4—862no—
1727C22⋊C4—1721no—
1728C22⋊C4—1721no—
1729C22⋊C4—1721no—
1730C22⋊C4—1721no—
1731C22⋊C4—1721no—
1732C22⋊C4—1721no—
1733C22⋊C4—1721no—
1734C22⋊C4—1721no—
1735C22⋊C4—1721no—
1736C22⋊C4—1721no—
1737C22⋊C4—1721no—
1738C22⋊C4—1721no—
1739C22⋊C4C2×C4×D4314yes—
1740C22⋊C4C2×C4×D4314yescomplemented
1741C22⋊C4C2×C4×D4314yescomplemented
1742C22⋊C4D4×D4314yescomplemented
1743C42—22no—
1744C42—41no—
1745C42—41no—
1746C42—862no—
1747C42—862no—
1748C42—862no—
1749C42—1721no—
1750C42—1721no—
1751C42—1721no—
1752C42—1721no—
1753C42—1721no—
1754C42—1721no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—28no—
1764C23—28no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—44no—
1778C23—44no—
1779C23—44no—
1780C23—44no—
1781C23—44no—
1782C23—432no—
1783C23—432no—
1784C23—432no—
1785C23—432no—
1786C23—432no—
1787C23—432no—
1788C23—432no—
1789C23—432no—
1790C23—432no—
1791C23—4316no—
1792C23—432no—
1793C23—432no—
1794C23—868no—
1795C23—868no—
1796C23—868no—
1797C23—868no—
1798C23—868no—
1799C23—868no—
1800C23—868no—
1801C23—868no—
1802C23—868no—
1803C23—868no—
1804C23—868no—
1805C23—868no—
1806C23—868no—
1807C23—861no—
1808C23—861no—
1809C23—861no—
1810C23—861no—
1811C23—861no—
1812C23—861no—
1813C23—861no—
1814C23—861no—
1815C23—861no—
1816C23—861no—
1817C23—861no—
1818C23—861no—
1819C23—868no—
1820C23—868no—
1821C23—861no—
1822C23—861no—
1823C23—861no—
1824C23—861no—
1825C23—861no—
1826C23—861no—
1827C23—861no—
1828C23—861no—
1829C23—861no—
1830C23—861no—
1831C23—861no—
1832C23—861no—
1833C23—3442no—
1834C23—3442no—
1835C23—3442no—
1836C23—3442no—
1837C23—1724no—
1838C23—1724no—
1839C23—1724no—
1840C23—1724no—
1841C23—1724no—
1842C23—1724no—
1843C23—1724no—
1844C23—1724no—
1845C23—1724no—
1846C23—1724no—
1847C23—1724no—
1848C23—1724no—
1849C23—1724no—
1850C23—1724no—
1851C23—1724no—
1852C23—1724no—
1853C23—1724no—
1854C23—1724no—
1855C23—1724no—
1856C23—1724no—
1857C23—1724no—
1858C23—1724no—
1859C23—1724no—
1860C23—1724no—
1861C23—1724no—
1862C23—172128no—
1863C23—1724no—
1864C23—1724no—
1865C23—1724no—
1866C23—1724no—
1867C23C22×C4×D4312yes—
1868C23C22×C4×D4312yes—
1869C23C22×C4×D4312yes—
1870C23C22×C4×D4312yes—
1871C23C2×D4×D4312yes—
1872C23#41×D4312yes—
1873C23#1306337012yes—
1874C23#1306337112yes—
1875C23C24×D4311yescharacteristic
1876D4—28no—
1877D4—28no—
1878D4—44no—
1879D4—868no—
1880D4—868no—
1881D4—868no—
1882D4—868no—
1883D4—868no—
1884D4—868no—
1885D4—1724no—
1886D4—1724no—
1887D4—1724no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—44no—
1917C2×C4—44no—
1918C2×C4—82no—
1919C2×C4—82no—
1920C2×C4—82no—
1921C2×C4—432no—
1922C2×C4—432no—
1923C2×C4—432no—
1924C2×C4—432no—
1925C2×C4—432no—
1926C2×C4—868no—
1927C2×C4—861no—
1928C2×C4—861no—
1929C2×C4—861no—
1930C2×C4—861no—
1931C2×C4—861no—
1932C2×C4—861no—
1933C2×C4—861no—
1934C2×C4—861no—
1935C2×C4—861no—
1936C2×C4—861no—
1937C2×C4—861no—
1938C2×C4—861no—
1939C2×C4—861no—
1940C2×C4—861no—
1941C2×C4—861no—
1942C2×C4—861no—
1943C2×C4—861no—
1944C2×C4—861no—
1945C2×C4—861no—
1946C2×C4—861no—
1947C2×C4—861no—
1948C2×C4—861no—
1949C2×C4—861no—
1950C2×C4—861no—
1951C2×C4—861no—
1952C2×C4—861no—
1953C2×C4—861no—
1954C2×C4—861no—
1955C2×C4—3442no—
1956C2×C4—3442no—
1957C2×C4—3442no—
1958C2×C4—3442no—
1959C2×C4—3442no—
1960C2×C4—1724no—
1961C2×C4—1724no—
1962C2×C4—1724no—
1963C2×C4—1724no—
1964C2×C4—1724no—
1965C2×C4—1724no—
1966C2×C4—1724no—
1967C2×C4—1724no—
1968C2×C4—1724no—
1969C2×C4—1724no—
1970C2×C4—1724no—
1971C2×C4—1724no—
1972C2×C4C22×C4×D4312yes—
1973C2×C4C22×C4×D4312yes—
1974C2×C4C22×C4×D4312yes—
1975C2×C4C2×D4×D4312yes—
1976C2×C4C2×D4×D4312yes—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—416no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—434no—
2005C22—434no—
2006C22—434no—
2007C22—8632no—
2008C22—862no—
2009C22—862no—
2010C22—862no—
2011C22—862no—
2012C22—862no—
2013C22—862no—
2014C22—862no—
2015C22—862no—
2016C22—862no—
2017C22—862no—
2018C22—862no—
2019C22—862no—
2020C22—862no—
2021C22—862no—
2022C22—862no—
2023C22—862no—
2024C22—862no—
2025C22—862no—
2026C22—862no—
2027C22—862no—
2028C22—862no—
2029C22—862no—
2030C22—862no—
2031C22—862no—
2032C22—3448no—
2033C22—17216no—
2034C22—17216no—
2035C22—17216no—
2036C22—17216no—
2037C22—17216no—
2038C22—1721no—
2039C22—1721no—
2040C22—1721no—
2041C22—1721no—
2042C22—1721no—
2043C22—1721no—
2044C22—1721no—
2045C22—1721no—
2046C22C4×D4×D4314yes—
2047C22#1458337114yescomplemented
2048C22C23×C4×D4311yescharacteristic
2049C22C22×D4×D4311yescharacteristic
2050C22C2×#41×D4311yescharacteristic
2051C22H(5,𝔽2)×D4311yescharacteristic
2052C22H(5,𝔽2)×D4311yescharacteristic
2053C22C2×#1306337011yescharacteristic
2054C22C2×#1306337111yescharacteristic
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—41no—
2061C4—41no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—862no—
2067C4—862no—
2068C4—862no—
2069C4—862no—
2070C4—862no—
2071C4—1721no—
2072C4—1721no—
2073C4—1721no—
2074C4—1721no—
2075C4—1721no—
2076C4—1721no—
2077C2—24no—
2078C2—24no—
2079C2—42no—
2080C2—42no—
2081C2—864no—
2082C2—864no—
2083C2—864no—
2084C2—1722no—
2085C2—1722no—
2086C2C2×C4×D4×D4311yescharacteristic
2087C2#518×D4311yescharacteristic
2088C2C2×#1458337111yescharacteristic
2089C2#1914822311yescharacteristic
2090C2#1914822511yescharacteristic
2091C2#1914827711yescharacteristic
2092C2#1914827911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2358C2
socle, cosocleC23×C43C25
prime radicalC2×#120×D43C2
hypercenter#2358D43
hypocenterC43#34198
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#14583371C2semidirect
3. C22×C22⋊C4×D43C2semidirect
4. #19137579C2semidirect
5. #19137577C2semidirect
6. #19137575C2semidirect
7. #19137574C2semidirect
8. #19137574C2semidirect
9. #19137572C2semidirect
10. #19137571C2semidirect
11. #19137443C2semidirect
12. #19137442C2semidirect
13. #19137439C2semidirect
14. #19137438C2semidirect
15. #19137416C2semidirect
16. #19137413C2semidirect
17. #19137413C2semidirect
18. D4×(C2×D43)⋊C4C2semidirect
19. #19137257C2semidirect
20. #19137254C2semidirect
21. #19137251C2semidirect
22. #19137248C2semidirect
23. #19137206C2semidirect
24. #19137169C2semidirect
25. #19137100C2semidirect
26. C4×#13063295C2semidirect
27. #19137096C2semidirect
28. C4×#13063293C2semidirect
29. C2×#14582754C2semidirect
30. #19136947C2semidirect
31. C43×#2358C2semidirect
36. C23×C4×D43C22semidirect
37. C23×C4×D43C22semidirect
45. #120×D43C4semidirect
47. C2×C4×D172C22semidirect
48. C2×C4×D172C22semidirect
49. C2×D4×Dic43C22semidirect
50. C2×D4×Dic43C22semidirect
51. C2×#13063287C22semidirect
52. C2×#13063287C22semidirect
53. C2×C4×C22⋊D43C22semidirect
54. C2×C4×C22⋊D43C22semidirect
55. C2×C4×C22⋊D43C22semidirect
56. C2×C4×C22⋊D43C22semidirect
57. C2×(C22⋊D43)⋊C4C22semidirect
58. C2×(C22⋊D43)⋊C4C22semidirect
59. C2×(C22⋊D43)⋊C4C22semidirect
60. C2×(C22⋊D43)⋊C4C22semidirect
61. C2×#13063283C22semidirect
62. C2×#13063282C22semidirect
63. C22×C22⋊Dic43C22semidirect
64. C22×C22⋊Dic43C22semidirect
69. C22×(C2×D43)⋊C4C22semidirect
70. C22×(C2×D43)⋊C4C22semidirect
71. C22×(C2×D43)⋊C4C22semidirect
80. C2×C22⋊C4×D43C22semidirect
81. C2×C22⋊C4×D43C22semidirect
82. C2×C22⋊C4×D43C22semidirect
83. C2×C22⋊C4×D43C22semidirect
84. C2×C22⋊C4×D43C22semidirect
85. #14582802C22semidirect
86. #14582801C22semidirect
87. #14582800C22semidirect
88. #14582799C22semidirect
89. #14582799C22semidirect
90. #14582799C22semidirect
91. #14582799C22semidirect
92. #14582793C22semidirect
93. #14582793C22semidirect
94. #14582792C22semidirect
95. #14582792C22semidirect
96. #14582791C22semidirect
97. #14582791C22semidirect
98. #14582790C22semidirect
99. #14582790C22semidirect
100. #14582789C22semidirect
101. #14582789C22semidirect
102. #14582788C22semidirect
103. #14582788C22semidirect
104. #14582787C22semidirect
105. #14582787C22semidirect
106. #14582779C22semidirect
107. #14582779C22semidirect
108. #14582779C22semidirect
109. #14582778C22semidirect
110. #14582778C22semidirect
111. #14582778C22semidirect
112. #14582777C22semidirect
113. #14582777C22semidirect
114. #14582777C22semidirect
115. #14582777C22semidirect
116. #14582777C22semidirect
117. #14582777C22semidirect
118. #14582776C22semidirect
119. #14582776C22semidirect
120. #14582776C22semidirect
121. #14582775C22semidirect
122. #14582775C22semidirect
123. #14582775C22semidirect
124. #14582775C22semidirect
125. #14582775C22semidirect
126. #14582775C22semidirect
127. #14582774C22semidirect
128. #14582774C22semidirect
129. #14582773C22semidirect
130. #14582773C22semidirect
131. #14582773C22semidirect
132. #14582773C22semidirect
133. #14582772C22semidirect
134. #14582772C22semidirect
135. #14582771C22semidirect
136. #14582771C22semidirect
137. #14582770C22semidirect
138. #14582770C22semidirect
139. #14582770C22semidirect
140. #14582770C22semidirect
141. #14582761C22semidirect
142. #14582761C22semidirect
143. #14582758C22semidirect
144. #14582758C22semidirect
145. #14582756C22semidirect
146. #14582756C22semidirect
151. #14582754C22semidirect
152. #14582754C22semidirect
153. #14582754C22semidirect
154. #14582754C22semidirect
155. #14582754C22semidirect
156. #14582754C22semidirect
157. C22⋊C4×Dic43C22semidirect
158. C22⋊C4×Dic43C22semidirect
159. C22⋊C4×Dic43C22semidirect
160. C22⋊C4×Dic43C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
163. C4×(C2×D43)⋊C4C22semidirect
164. C4×(C2×D43)⋊C4C22semidirect
165. C4×(C2×D43)⋊C4C22semidirect
166. C4×(C2×D43)⋊C4C22semidirect
167. C4×C22⋊Dic43C22semidirect
168. C4×C22⋊Dic43C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. #14582746C22semidirect
174. #14582746C22semidirect
176. C2×C4×D4×C43C22semidirect
177. C2×C4×D4×C43C22semidirect
178. C22×C22⋊C4×C43C22semidirect
179. C22×C22⋊C4×C43C22semidirect
180. C43×#390C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
187. C43×#385C22semidirect
188. C4×C22⋊C4×C43C22semidirect
189. C4×C22⋊C4×C43C22semidirect
196. C24×D43C2×C4semidirect
219. C2×D4×D43C2×C4semidirect
220. C2×D4×D43C2×C4semidirect
221. C2×D4×D43C2×C4semidirect
226. C23×Dic43C23semidirect
244. C22×C4×D43C23semidirect
245. C22×C4×D43C23semidirect
246. #13063295C2×C4semidirect
247. #13063295C2×C4semidirect
248. #13063295C2×C4semidirect
249. #13063294C2×C4semidirect
250. #13063293C2×C4semidirect
251. #13063293C2×C4semidirect
252. #13063293C2×C4semidirect
269. C2×C4⋊Dic43C23semidirect
270. C2×C4⋊Dic43C23semidirect
271. C2×C4⋊Dic43C23semidirect
272. C2×Dic43⋊C4C23semidirect
273. C2×Dic43⋊C4C23semidirect
274. C2×Dic43⋊C4C23semidirect
275. C2×Dic43⋊C4C23semidirect
276. C2×Dic43⋊C4C23semidirect
277. C2×Dic43⋊C4C23semidirect
291. C2×C22⋊Dic43C23semidirect
292. C2×C22⋊Dic43C23semidirect
293. C2×C22⋊Dic43C23semidirect
331. C2×(C2×D43)⋊C4C23semidirect
332. C2×(C2×D43)⋊C4C23semidirect
333. C2×(C2×D43)⋊C4C23semidirect
334. C2×(C2×D43)⋊C4C23semidirect
335. C2×(C2×D43)⋊C4C23semidirect
336. C2×(C2×D43)⋊C4C23semidirect
345. C22⋊C4×D43C2×C4semidirect
346. C22⋊C4×D43C2×C4semidirect
347. C22⋊C4×D43C2×C4semidirect
348. C22⋊C4×D43D4semidirect
349. C2×C4×Dic43C23semidirect
350. C2×C4×Dic43C23semidirect
351. C2×C4×Dic43C23semidirect
352. C2×C4×Dic43C23semidirect
353. C2×C4×Dic43C23semidirect
354. C2×C4×Dic43C23semidirect
355. C2×C4×Dic43C23semidirect
356. C2×C4×Dic43C23semidirect
357. C2×C4×Dic43C23semidirect
358. C43⋊#95C23semidirect
359. C43⋊#95C23semidirect
360. C43⋊#95C23semidirect
361. C43⋊#95C23semidirect
362. C43⋊#95C23semidirect
363. C43⋊#95C23semidirect
364. C43⋊#95C23semidirect
365. C43⋊#95C23semidirect
366. C43⋊#95C23semidirect
367. C43⋊#95C23semidirect
368. C43⋊#95C23semidirect
369. C43⋊#95C23semidirect
370. C43⋊#95C23semidirect
371. C43⋊#95C23semidirect
372. C43⋊#95C23semidirect
373. C43⋊#95C23semidirect
374. C43⋊#95C23semidirect
375. C43⋊#95C23semidirect
384. C23×C4×C43C23semidirect
385. #120×C43C2×C4semidirect
388. C2×C4⋊C4×C43C23semidirect
389. C2×C4⋊C4×C43C23semidirect
390. C2×C4⋊C4×C43C23semidirect
404. C2×C22⋊C4×C43C23semidirect
405. C2×C22⋊C4×C43C23semidirect
406. C2×C22⋊C4×C43C23semidirect
407. C2×C42×C43C23semidirect
408. C2×C42×C43C23semidirect
409. C2×C42×C43C23semidirect
410. #95×C43C23semidirect
411. #95×C43C23semidirect
412. #95×C43C23semidirect
413. #95×C43C23semidirect
414. #95×C43C23semidirect
415. #95×C43C23semidirect
480. C23×D43C22×C4semidirect
495. C2×D4×C43C22×C4semidirect
496. C2×D4×C43C22×C4semidirect
538. C2×C22⋊D43C22×C4semidirect
539. C2×C22⋊D43C22×C4semidirect
540. C2×C22⋊D43C22×C4semidirect
578. C2×D172C22×C4semidirect
615. C2×C4×D43C22×C4semidirect
616. C2×C4×D43C22×C4semidirect
617. C2×C4×D43C22×C4semidirect
618. C2×C4×D43C2×D4semidirect
619. C2×C4×D43C2×D4semidirect
634. C22⋊C4×C43C22×C4semidirect
635. C22⋊C4×C43C22×C4semidirect
636. C22⋊C4×C43C2×D4semidirect
651. C22⋊Dic43C22×C4semidirect
652. C22⋊Dic43C22×C4semidirect
653. C22⋊Dic43C2×D4semidirect
686. (C2×D43)⋊C4C22×C4semidirect
687. (C2×D43)⋊C4C22×C4semidirect
817. C22×D43C4×D4semidirect
959. C22×C43#518semidirect
1008. C2×D43#518semidirect
1041. #2358D43semidirect
1108. C2×C4×D4C2×D43semidirect
1109. C2×C4×D4C2×D43semidirect
1134. C22×C22⋊C4C2×D43semidirect
1135. C22×C22⋊C4C2×D43semidirect
1143. #390C2×D43semidirect
1158. #388C2×D43semidirect
1159. #388C2×D43semidirect
1181. #386C2×D43semidirect
1182. #386C2×D43semidirect
1183. #386C2×D43semidirect
1198. #385C2×D43semidirect
1199. #385C2×D43semidirect
1234. C4×C22⋊C4C2×D43semidirect
1235. C4×C22⋊C4C2×D43semidirect
1236. C43#34198semidirect
1301. C23×C4C22×D43semidirect
1309. #120C4×D43semidirect
1337. C2×C4⋊C4C22×D43semidirect
1338. C2×C4⋊C4C22×D43semidirect
1339. C2×C4⋊C4C22×D43semidirect
1424. C2×C22⋊C4C22×D43semidirect
1425. C2×C22⋊C4C22×D43semidirect
1426. C2×C22⋊C4C22×D43semidirect
1436. C2×C42C22×D43semidirect
1437. C2×C42C22×D43semidirect
1438. C2×C42C22×D43semidirect
1457. #95C22×D43semidirect
1458. #95C22×D43semidirect
1459. #95C22×D43semidirect
1460. #95C22×D43semidirect
1461. #95C22×D43semidirect
1462. #95C22×D43semidirect
1572. C2×D4C2×C4×D43semidirect
1573. C2×D4C2×C4×D43semidirect
1740. C22⋊C4C2×C4×D43semidirect
1741. C22⋊C4C2×C4×D43semidirect
1742. C22⋊C4D4×D43semidirect
2047. C22#14583371semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D432
C2×#145833712
C22×C22⋊C4×D432
#191375792
#191375772
#191375752
#191375742
#191375722
#191375712
#191374432
#191374422
#191374392
#191374382
#191374162
#191374132
D4×(C2×D43)⋊C42
#191372572
#191372542
#191372512
#191372482
#191372062
#191371692
#191371002
C4×#130632952
#191370962
C4×#130632932
C2×#145827542
#191369472
C43×#23582
#3419843