Finite Group Databasebeta

← C2×#19149159 #26003940

Subgroups — C2×#19149159 #26003940

Order 11008.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149159C2132yesmaximal, direct product factor
2C2×#14583652C211yesmaximal, characteristic, complemented
3C2×#14583648C211yesmaximal, characteristic, complemented
4C2×#14583645C211yesmaximal, characteristic, complemented
5C2×#14583644C211yesmaximal, characteristic, complemented
6C2×#14583617C211yesmaximal, characteristic, complemented
7C2×#14583616C211yesmaximal, characteristic, complemented
8C2×#14583579C211yesmaximal, characteristic, complemented
9C2×#14583578C211yesmaximal, characteristic, complemented
10C2×#14583574C211yesmaximal, characteristic, complemented
11C2×#14583573C211yesmaximal, characteristic, complemented
12C2×#14583564C211yesmaximal, characteristic, complemented
13C2×#14583562C211yesmaximal, characteristic, complemented
14C2×#14583558C211yesmaximal, characteristic, complemented
15C2×#14583557C211yesmaximal, characteristic, complemented
16C2×#14583541C211yesmaximal, characteristic, complemented
17C2×#14583538C211yesmaximal, characteristic, complemented
18C2×#14583524C211yesmaximal, characteristic, complemented
19C2×#14583524C211yesmaximal, characteristic, complemented
20C2×#14583521C211yesmaximal, characteristic, complemented
21C2×#14583519C211yesmaximal, characteristic, complemented
22C2×#14583515C211yesmaximal, characteristic, complemented
23C2×#14583513C211yesmaximal, characteristic, complemented
24C2×#14583513C211yesmaximal, characteristic, complemented
25C2×#14583485C211yesmaximal, characteristic, complemented
26C2×#14583483C211yesmaximal, characteristic, complemented
27C2×#14583472C211yesmaximal, characteristic, complemented
28C2×#14583471C211yesmaximal, characteristic, complemented
29C2×#14583453C211yesmaximal, characteristic, complemented
30C2×#14583432C211yesmaximal, characteristic, complemented
31C2×#124×D43C211yesmaximal, characteristic, complemented
32C2×C43×#542C211yesmaximal, characteristic, complemented
33C22×#10621898C2211yescharacteristic
34C22×#10621900C2211yescharacteristic
35C23×Dic86C2211yescharacteristic, complemented
36C22×Q8×D43C2211yescharacteristic
37C22×Q8×D43C2211yescharacteristic, complemented
38C22×D4×D43C2211yescharacteristic
39#14583652C22116yescomplemented
40#14583648C22116yescomplemented
41#14583645C22116yescomplemented
42#14583644C22116yescomplemented
43#14583617C22116yescomplemented
44#14583616C22116yescomplemented
45#14583579C22116yescomplemented
46#14583578C22116yescomplemented
47#14583574C22116yescomplemented
48#14583573C22116yescomplemented
49#14583564C22116yescomplemented
50#14583562C22116yescomplemented
51#14583558C22116yescomplemented
52#14583557C22116yescomplemented
53#14583541C22116yescomplemented
54#14583538C22116yescomplemented
55#14583524C22116yescomplemented
56#14583524C22116yescomplemented
57#14583521C22116yescomplemented
58#14583519C22116yescomplemented
59#14583515C22116yescomplemented
60#14583513C22116yescomplemented
61#14583513C22116yescomplemented
62#14583485C22116yescomplemented
63#14583483C22116yescomplemented
64#14583472C22116yescomplemented
65#14583471C22116yescomplemented
66#14583453C22116yescomplemented
67C2×#13063324C2211yescharacteristic, complemented
68C2×#13063324C2211yescharacteristic, complemented
69C2×#13063324C2211yescharacteristic, complemented
70C2×#13063324C2211yescharacteristic, complemented
71C2×#13063324C2211yescharacteristic, complemented
72C2×#13063323C2211yescharacteristic, complemented
73C2×#13063323C2211yescharacteristic, complemented
74#14583432C22116yescomplemented
75C2×#13063320C2211yescharacteristic, complemented
76C2×#13063320C2211yescharacteristic, complemented
77C2×#13063320C2211yescharacteristic, complemented
78C2×#13063319C2211yescharacteristic, complemented
79C2×#13063319C2211yescharacteristic, complemented
80C2×#13063319C2211yescharacteristic, complemented
81C2×#13063319C2211yescharacteristic, complemented
82C2×#13063318C2211yescharacteristic, complemented
83C2×#13063318C2211yescharacteristic, complemented
84C2×#13063318C2211yescharacteristic, complemented
85C2×#13063318C2211yescharacteristic, complemented
86C2×#13063318C2211yescharacteristic, complemented
87C2×#13063315C2211yescharacteristic, complemented
88C2×#13063315C2211yescharacteristic, complemented
89C2×#13063315C2211yescharacteristic, complemented
90C2×#13063314C2211yescharacteristic
91C2×#13063314C2211yescharacteristic, complemented
92C2×#13063313C2211yescharacteristic
93C2×#13063313C2211yescharacteristic, complemented
94C2×#13063312C2211yescharacteristic
95C2×#13063311C2211yescharacteristic
96C2×#13063311C2211yescharacteristic
97C2×#13063311C2211yescharacteristic
98C2×#13063311C2211yescharacteristic
99C2×#13063311C2211yescharacteristic
100C2×#13063311C2211yescharacteristic
101C2×#13063311C2211yescharacteristic, complemented
102C2×#13063311C2211yescharacteristic, complemented
103C2×#13063311C2211yescharacteristic, complemented
104C2×#13063311C2211yescharacteristic, complemented
105C2×#13063311C2211yescharacteristic, complemented
106#124×D43C22116yescomplemented
107C2×#13063310C2211yescharacteristic
108C2×#13063310C2211yescharacteristic
109C2×#13063310C2211yescharacteristic
110C2×#13063310C2211yescharacteristic, complemented
111C2×#13063310C2211yescharacteristic, complemented
112C2×#13063310C2211yescharacteristic, complemented
113C2×#13063309C2211yescharacteristic, complemented
114C2×#13063308C2211yescharacteristic, complemented
115C2×#13063308C2211yescharacteristic, complemented
116C2×#13063307C2211yescharacteristic
117C2×#13063307C2211yescharacteristic, complemented
118C2×#13063307C2211yescharacteristic, complemented
119C2×#13063307C2211yescharacteristic, complemented
120C2×#13063306C2211yescharacteristic
121C2×#13063306C2211yescharacteristic, complemented
122C2×#13063306C2211yescharacteristic, complemented
123C2×#13063305C2211yescharacteristic
124C2×#13063305C2211yescharacteristic
125C2×#13063305C2211yescharacteristic, complemented
126C2×#13063305C2211yescharacteristic, complemented
127C2×#13063304C2211yescharacteristic, complemented
128C2×#13063304C2211yescharacteristic, complemented
129C2×#13063304C2211yescharacteristic, complemented
130C2×#13063303C2211yescharacteristic
131C2×#13063303C2211yescharacteristic
132C2×#13063303C2211yescharacteristic
133C2×#13063303C2211yescharacteristic
134C2×#13063303C2211yescharacteristic
135C2×#13063303C2211yescharacteristic, complemented
136C2×#13063303C2211yescharacteristic, complemented
137C2×#13063303C2211yescharacteristic, complemented
138C2×#13063303C2211yescharacteristic, complemented
139C2×#13063303C2211yescharacteristic, complemented
140C2×#13063303C2211yescharacteristic, complemented
141C2×#13063303C2211yescharacteristic, complemented
142C2×#13063302C2211yescharacteristic, complemented
143C2×#13063302C2211yescharacteristic, complemented
144C2×#13063302C2211yescharacteristic, complemented
145C2×#13063302C2211yescharacteristic, complemented
146C2×#13063302C2211yescharacteristic, complemented
147C2×#13063302C2211yescharacteristic, complemented
148C2×#13063302C2211yescharacteristic, complemented
149C2×#13063301C2211yescharacteristic
150C2×#13063301C2211yescharacteristic
151C2×#13063301C2211yescharacteristic, complemented
152C2×#13063301C2211yescharacteristic, complemented
153C2×#13063301C2211yescharacteristic, complemented
154C2×#13063301C2211yescharacteristic, complemented
155C2×#13063300C2211yescharacteristic
156C2×#13063299C2211yescharacteristic, complemented
157C2×#13063298C2211yescharacteristic
158C2×#13063298C2211yescharacteristic
159C2×#13063298C2211yescharacteristic
160C2×#13063298C2211yescharacteristic, complemented
161C2×#13063297C2211yescharacteristic
162C2×#13063297C2211yescharacteristic
163C2×#13063297C2211yescharacteristic, complemented
164C2×#13063296C2211yescharacteristic, complemented
165C2×#13063295C2211yescharacteristic
166C2×#13063295C2211yescharacteristic
167C2×#13063293C2211yescharacteristic
168C2×#13063293C2211yescharacteristic
169C2×C4×Dic86C2211yescharacteristic, complemented
170C2×C4×Dic86C2211yescharacteristic, complemented
171C2×C4×Dic86C2211yescharacteristic, complemented
172C2×C4×Dic86C2211yescharacteristic, complemented
173C2×#13063290C2211yescharacteristic, complemented
174C2×#13063290C2211yescharacteristic, complemented
175C2×C4×D172C2211yescharacteristic
176C2×C4×D172C2211yescharacteristic, complemented
177C2×#13063287C2211yescharacteristic
178C2×#13063287C2211yescharacteristic
179C2×C4×C22⋊D43C2211yescharacteristic
180C2×C4×C22⋊D43C2211yescharacteristic
181C2×(C22⋊D43)⋊C4C2211yescharacteristic
182C2×(C22⋊D43)⋊C4C2211yescharacteristic
183C2×(C22⋊D43)⋊C4C2211yescharacteristic
184C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
187C2×#13063283C2211yescharacteristic, complemented
188C2×#13063283C2211yescharacteristic, complemented
189C2×#13063282C2211yescharacteristic
190C2×#13063282C2211yescharacteristic
191C2×#13063282C2211yescharacteristic, complemented
192C2×#13063281C2211yescharacteristic, complemented
193C2×#13063281C2211yescharacteristic, complemented
194C22×(C2×D43)⋊C4C2211yescharacteristic
195C22×(C2×D43)⋊C4C2211yescharacteristic
196C2×C22⋊C4×D43C2211yescharacteristic
197C2×C22⋊C4×D43C2211yescharacteristic
198C2×C22⋊C4×D43C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic
200C2×C22⋊C4×D43C2211yescharacteristic
201C2×C22⋊C4×D43C2211yescharacteristic
202C2×C42×D43C2211yescharacteristic
203C43×#542C22116yescomplemented
204C2×C4⋊Q8×C43C2211yescharacteristic, complemented
205C2×#126×C43C2211yescharacteristic, complemented
206C2×#126×C43C2211yescharacteristic, complemented
207C2×#124×C43C2211yescharacteristic
208C2×#124×C43C2211yescharacteristic, complemented
209C2×#124×C43C2211yescharacteristic, complemented
210C2×#123×C43C2211yescharacteristic
211C2×#123×C43C2211yescharacteristic, complemented
212C2×C22⋊Q8×C43C2211yescharacteristic, complemented
213C2×C22⋊Q8×C43C2211yescharacteristic, complemented
214C2×C22⋊Q8×C43C2211yescharacteristic, complemented
215C2×#121×C43C2211yescharacteristic
216C2×C4×Q8×C43C2211yescharacteristic, complemented
217C2×C4×D4×C43C2211yescharacteristic, complemented
218C2×#117×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C2×#10621898—44no—
222C2×#10621898C2318yes—
223C2×#10621900—44no—
224C2×#10621900C2318yes—
225C22×Dic86—44no—
226C22×Dic86C2311yescharacteristic
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×Dic86C2311yescharacteristic
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×Dic86C2311yescharacteristic
233C22×Dic86C2311yescharacteristic
234C22×Dic86C2311yescharacteristic
235C22×Dic86C2311yescharacteristic
236C22×Dic86C2318yescomplemented
237C2×Q8×D43—44no—
238C2×Q8×D43—44no—
239C2×Q8×D43C2318yes—
240C2×Q8×D43C2318yescomplemented
241C22×D172C2311yescharacteristic
242C22×D172C2311yescharacteristic
243C22×D172C2311yescharacteristic
244C22×D172C2311yescharacteristic
245C22×C22⋊D43C2311yescharacteristic
246C22×C22⋊D43C2311yescharacteristic
247C22×C22⋊D43C2311yescharacteristic
248C22×C22⋊D43C2311yescharacteristic
249C22×C22⋊D43C2311yescharacteristic
250C22×C22⋊D43C2311yescharacteristic
251C22×C22⋊D43C2311yescharacteristic
252C22×C22⋊D43C2311yescharacteristic
253C2×D4×D43—44no—
254C2×D4×D43C2318yes—
255C23×Dic43C2311yescharacteristic
256C23×Dic43C2311yescharacteristic
257C23×Dic43C2311yescharacteristic
258C23×Dic43C2311yescharacteristic
259C22×C4×D43C2311yescharacteristic
260C22×C4×D43C2311yescharacteristic
261C22×C4×D43C2311yescharacteristic
262C22×C4×D43C2311yescharacteristic
263C22×C4×D43C2311yescharacteristic
264C22×C4×D43C2311yescharacteristic
265C22×C4×D43C2311yescharacteristic
266C22×C4×D43C2311yescharacteristic
267C22×C4×D43C2311yescharacteristic
268C22×C4×D43C2311yescharacteristic
269C22×C4×D43C2311yescharacteristic
270C22×C4×D43C2311yescharacteristic
271#13063324C2318yescomplemented
272#13063324C2318yescomplemented
273#13063324C2318yescomplemented
274#13063324C2318yescomplemented
275#13063324C2318yescomplemented
276#13063323C2318yescomplemented
277#13063323C2318yescomplemented
278#13063320C2318yescomplemented
279#13063320C2318yescomplemented
280#13063320C2318yescomplemented
281#13063319C2318yescomplemented
282#13063319C2318yescomplemented
283#13063319C2318yescomplemented
284#13063319C2318yescomplemented
285#13063318C2318yescomplemented
286#13063318C2318yescomplemented
287#13063318C2318yescomplemented
288#13063318C2318yescomplemented
289#13063318C2318yescomplemented
290#13063315C2318yescomplemented
291#13063315C2318yescomplemented
292#13063315C2318yescomplemented
293#13063314C2318yes—
294#13063314C2318yescomplemented
295#13063313C2318yes—
296#13063313C2318yescomplemented
297#13063312C2318yes—
298#13063311C2318yes—
299#13063311C2318yes—
300#13063311C2318yes—
301#13063311C2318yes—
302#13063311C2318yes—
303#13063311C2318yes—
304#13063311C2318yescomplemented
305#13063311C2318yescomplemented
306#13063311C2318yescomplemented
307#13063311C2318yescomplemented
308#13063311C2318yescomplemented
309#13063310C2318yes—
310#13063310C2318yes—
311#13063310C2318yes—
312#13063310C2318yescomplemented
313#13063310C2318yescomplemented
314#13063310C2318yescomplemented
315#13063309C2318yescomplemented
316#13063308C2318yescomplemented
317#13063308C2318yescomplemented
318#13063307C2318yes—
319#13063307C2318yescomplemented
320#13063307C2318yescomplemented
321#13063307C2318yescomplemented
322#13063306C2318yes—
323#13063306C2318yescomplemented
324#13063306C2318yescomplemented
325#13063305C2318yes—
326#13063305C2318yes—
327#13063305C2318yescomplemented
328#13063305C2318yescomplemented
329#13063304C2318yescomplemented
330#13063304C2318yescomplemented
331#13063304C2318yescomplemented
332#13063303C2318yes—
333#13063303C2318yes—
334#13063303C2318yes—
335#13063303C2318yes—
336#13063303C2318yes—
337#13063303C2318yescomplemented
338#13063303C2318yescomplemented
339#13063303C2318yescomplemented
340#13063303C2318yescomplemented
341#13063303C2318yescomplemented
342#13063303C2318yescomplemented
343#13063303C2318yescomplemented
344#13063302C2318yescomplemented
345#13063302C2318yescomplemented
346#13063302C2318yescomplemented
347#13063302C2318yescomplemented
348#13063302C2318yescomplemented
349#13063302C2318yescomplemented
350#13063302C2318yescomplemented
351#13063301C2318yes—
352#13063301C2318yes—
353#13063301C2318yescomplemented
354#13063301C2318yescomplemented
355#13063301C2318yescomplemented
356#13063301C2318yescomplemented
357#13063300C2318yes—
358#13063299C2318yescomplemented
359#13063298C2318yes—
360#13063298C2318yes—
361#13063298C2318yes—
362#13063298C2318yescomplemented
363#13063297C2318yes—
364#13063297C2318yes—
365#13063297C2318yescomplemented
366#13063296C2318yescomplemented
367#13063295C2318yes—
368#13063295C2318yes—
369#13063293C2318yes—
370#13063293C2318yes—
371C4×Dic86C2318yescomplemented
372C4×Dic86C2318yescomplemented
373C4×Dic86C2318yescomplemented
374C4×Dic86C2318yescomplemented
375#13063290C2318yescomplemented
376#13063290C2318yescomplemented
377C4×D172C2318yes—
378C4×D172C2318yescomplemented
379#13063287C2318yes—
380#13063287C2318yes—
381C4×C22⋊D43C2318yes—
382C4×C22⋊D43C2318yes—
383(C22⋊D43)⋊C4C2318yes—
384(C22⋊D43)⋊C4C2318yes—
385(C22⋊D43)⋊C4C2318yes—
386(C22⋊D43)⋊C4C2318yescomplemented
387(C22⋊D43)⋊C4C2318yescomplemented
388(C22⋊D43)⋊C4C2318yescomplemented
389#13063283C2318yescomplemented
390#13063283C2318yescomplemented
391#13063282C2318yes—
392#13063282C2318yes—
393#13063282C2318yescomplemented
394#13063281C2318yescomplemented
395#13063281C2318yescomplemented
396C2×C4⋊Dic43C2311yescharacteristic
397C2×C4⋊Dic43C2311yescharacteristic
398C2×C4⋊Dic43C2311yescharacteristic
399C2×C4⋊Dic43C2311yescharacteristic
400C2×C4⋊Dic43C2311yescharacteristic
401C2×C4⋊Dic43C2311yescharacteristic
402C2×C4⋊Dic43C2311yescharacteristic
403C2×C4⋊Dic43C2311yescharacteristic
404C2×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊C4C2311yescharacteristic
418C2×Dic43⋊C4C2311yescharacteristic
419C2×Dic43⋊C4C2311yescharacteristic
420C2×Dic43⋊C4C2311yescharacteristic
421C2×Dic43⋊C4C2311yescharacteristic
422C2×Dic43⋊C4C2311yescharacteristic
423C2×Dic43⋊C4C2311yescharacteristic
424C2×Dic43⋊C4C2311yescharacteristic
425C2×Dic43⋊C4C2311yescharacteristic
426C2×Dic43⋊C4C2311yescharacteristic
427C2×Dic43⋊C4C2311yescharacteristic
428C2×C22⋊Dic43C2311yescharacteristic
429C2×C22⋊Dic43C2311yescharacteristic
430C2×C22⋊Dic43C2311yescharacteristic
431C2×C22⋊Dic43C2311yescharacteristic
432C2×C22⋊Dic43C2311yescharacteristic
433C2×C22⋊Dic43C2311yescharacteristic
434C2×C22⋊Dic43C2311yescharacteristic
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×C22⋊Dic43C2311yescharacteristic
438C2×(C2×D43)⋊C4C2318yes—
439C2×(C2×D43)⋊C4C2318yes—
440C2×(C2×D43)⋊C4C2311yescharacteristic
441C2×(C2×D43)⋊C4C2311yescharacteristic
442C2×(C2×D43)⋊C4C2311yescharacteristic
443C2×(C2×D43)⋊C4C2311yescharacteristic
444C2×(C2×D43)⋊C4C2311yescharacteristic
445C2×(C2×D43)⋊C4C2311yescharacteristic
446C2×(C2×D43)⋊C4C2311yescharacteristic
447C2×(C2×D43)⋊C4C2311yescharacteristic
448C2×(C2×D43)⋊C4C2311yescharacteristic
449C2×(C2×D43)⋊C4C2311yescharacteristic
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2311yescharacteristic
452C2×(C2×D43)⋊C4C2311yescharacteristic
453C2×(C2×D43)⋊C4C2311yescharacteristic
454C2×(C2×D43)⋊C4C2311yescharacteristic
455C2×(C2×D43)⋊C4C2311yescharacteristic
456C2×(C2×D43)⋊C4C2311yescharacteristic
457C2×(C2×D43)⋊C4C2311yescharacteristic
458C2×(C2×D43)⋊C4C2311yescharacteristic
459C2×(C2×D43)⋊C4C2311yescharacteristic
460C2×(C2×D43)⋊C4C2311yescharacteristic
461C2×(C2×D43)⋊C4C2311yescharacteristic
462C2×(C2×D43)⋊C4C2311yescharacteristic
463C2×(C2×D43)⋊C4C2311yescharacteristic
464C2×(C2×D43)⋊C4C2311yescharacteristic
465C2×(C2×D43)⋊C4C2311yescharacteristic
466C2×(C2×D43)⋊C4C2311yescharacteristic
467C2×(C2×D43)⋊C4C2311yescharacteristic
468C22⋊C4×D43C2318yes—
469C22⋊C4×D43C2318yes—
470C22⋊C4×D43C2318yes—
471C22⋊C4×D43C2318yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C2×C4×Dic43C2311yescharacteristic
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2311yescharacteristic
479C2×C4×Dic43C2311yescharacteristic
480C2×C4×Dic43C2311yescharacteristic
481C2×C4×Dic43C2311yescharacteristic
482C2×C4×Dic43C2311yescharacteristic
483C2×C4×Dic43C2311yescharacteristic
484C42×D43C2318yes—
485C22×Q8×C43C2311yescharacteristic
486C22×Q8×C43C2311yescharacteristic
487C22×Q8×C43C2311yescharacteristic
488C22×D4×C43C2311yescharacteristic
489C22×D4×C43C2311yescharacteristic
490C22×D4×C43C2311yescharacteristic
491C23×C4×C43C2311yescharacteristic
492C23×C4×C43C2311yescharacteristic
493C23×C4×C43C2311yescharacteristic
494C4⋊Q8×C43C2318yescomplemented
495#126×C43C2318yescomplemented
496#126×C43C2318yescomplemented
497#124×C43C2318yes—
498#124×C43C2318yescomplemented
499#124×C43C2318yescomplemented
500#123×C43C2318yes—
501#123×C43C2318yescomplemented
502C22⋊Q8×C43C2318yescomplemented
503C22⋊Q8×C43C2318yescomplemented
504C22⋊Q8×C43C2318yescomplemented
505#121×C43C2318yes—
506C4×Q8×C43C2318yescomplemented
507C4×D4×C43C2318yescomplemented
508#117×C43C2318yescomplemented
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2311yescharacteristic
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2311yescharacteristic
515C2×C4⋊C4×C43C2311yescharacteristic
516C2×C4⋊C4×C43C2311yescharacteristic
517C2×C4⋊C4×C43C2311yescharacteristic
518C2×C4⋊C4×C43C2311yescharacteristic
519C2×C22⋊C4×C43C2311yescharacteristic
520C2×C22⋊C4×C43C2311yescharacteristic
521C2×C22⋊C4×C43C2311yescharacteristic
522C2×C22⋊C4×C43C2311yescharacteristic
523C2×C22⋊C4×C43C2311yescharacteristic
524C2×C22⋊C4×C43C2311yescharacteristic
525C2×C22⋊C4×C43C2311yescharacteristic
526C2×C22⋊C4×C43C2311yescharacteristic
527C2×C22⋊C4×C43C2311yescharacteristic
528C2×C22⋊C4×C43C2311yescharacteristic
529C2×C22⋊C4×C43C2311yescharacteristic
530C2×C22⋊C4×C43C2311yescharacteristic
531C2×C42×C43C2311yescharacteristic
532C2×C42×C43C2311yescharacteristic
533C2×C42×C43C2311yescharacteristic
534C2×C42×C43C2311yescharacteristic
535C24×C43C2411yescharacteristic
536C24×C43C2411yescharacteristic
537C24×C43C2411yescharacteristic
538C23×D43—24no—
539C23×D43—24no—
540C23×D43—42no—
541C23×D43—42no—
542C23×D43—42no—
543C23×D43—42no—
544C23×D43C2411yescharacteristic
545C23×D43C2411yescharacteristic
546C23×D43C2411yescharacteristic
547C23×D43C2411yescharacteristic
548C23×D43C2414yes—
549C23×D43C2414yes—
550C2×Q8×C43—42no—
551C2×Q8×C43—42no—
552C2×Q8×C43—42no—
553C2×Q8×C43C2414yes—
554C2×Q8×C43C2414yes—
555C2×Q8×C43C2414yes—
556C2×D4×C43—42no—
557C2×D4×C43—42no—
558C2×D4×C43—42no—
559C2×D4×C43C2414yes—
560C2×D4×C43C2414yes—
561C2×D4×C43C2414yes—
562C22×C4×C43—42no—
563C22×C4×C43—42no—
564C22×C4×C43—42no—
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2411yescharacteristic
570C22×C4×C43C2411yescharacteristic
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2411yescharacteristic
574C22×C4×C43C2411yescharacteristic
575C22×C4×C43C2411yescharacteristic
576C22×C4×C43C2411yescharacteristic
577C22×C4×C43C2414yes—
578C22×C4×C43C2414yes—
579C22×C4×C43C2414yes—
580C2×C22⋊D43—24no—
581C2×C22⋊D43—24no—
582C2×C22⋊D43—24no—
583C2×C22⋊D43—42no—
584C2×C22⋊D43—42no—
585C2×C22⋊D43—42no—
586C2×C22⋊D43—42no—
587C2×C22⋊D43—42no—
588C2×C22⋊D43C2414yes—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C22×Dic43—24no—
597C22×Dic43—42no—
598C22×Dic43—42no—
599C22×Dic43—42no—
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2411yescharacteristic
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2411yescharacteristic
611C22×Dic43C2414yes—
612C22×Dic43C2414yes—
613C22×Dic43C2414yes—
614C22×Dic43C2414yes—
615C22×Dic43C2411yescharacteristic
616Q8×D43—416no—
617Q8×D43—416no—
618#10621900—416no—
619D4×D43—416no—
620#10621898—416no—
621C2×D172—24no—
622C2×D172—42no—
623C2×D172—42no—
624C2×D172—42no—
625C2×D172C2414yes—
626C2×D172C2414yes—
627C2×D172C2414yes—
628C2×D172C2414yes—
629C2×C4×D43—24no—
630C2×C4×D43—24no—
631C2×C4×D43—24no—
632C2×C4×D43—42no—
633C2×C4×D43—42no—
634C2×C4×D43—42no—
635C2×C4×D43—42no—
636C2×C4×D43—42no—
637C2×C4×D43—42no—
638C2×C4×D43—42no—
639C2×C4×D43—42no—
640C2×C4×D43—42no—
641C2×C4×D43C2414yes—
642C2×C4×D43C2414yes—
643C2×C4×D43C2414yes—
644C2×C4×D43C2414yes—
645C2×C4×D43C2414yes—
646C2×C4×D43C2414yes—
647C2×C4×D43C2414yes—
648C2×C4×D43C2414yes—
649C2×C4×D43C2414yes—
650C2×C4×D43C2414yes—
651C2×C4×D43C2414yes—
652C2×C4×D43C2414yes—
653C2×Dic86—24no—
654C2×Dic86—24no—
655C2×Dic86—24no—
656C2×Dic86—24no—
657C2×Dic86—416no—
658C2×Dic86—42no—
659C2×Dic86—42no—
660C2×Dic86—42no—
661C2×Dic86—42no—
662C2×Dic86—42no—
663C2×Dic86—42no—
664C2×Dic86C2414yes—
665C2×Dic86C2414yes—
666C2×Dic86C2414yes—
667C2×Dic86C2414yes—
668C2×Dic86C2414yes—
669C2×Dic86C2414yes—
670C2×Dic86C2414yes—
671C2×Dic86C2414yes—
672C2×Dic86C2414yes—
673C2×Dic86C2414yes—
674C4⋊C4×C43C2414yes—
675C4⋊C4×C43C2414yes—
676C4⋊C4×C43C2414yes—
677C4⋊C4×C43C2414yes—
678C4⋊C4×C43C2414yes—
679C4⋊C4×C43C2414yes—
680C4⋊C4×C43C2414yes—
681C4⋊C4×C43C2414yes—
682C4⋊C4×C43C2414yes—
683C4⋊C4×C43C2414yes—
684C22⋊C4×C43C2414yes—
685C22⋊C4×C43C2414yes—
686C22⋊C4×C43C2414yes—
687C22⋊C4×C43C2414yes—
688C22⋊C4×C43C2414yes—
689C22⋊C4×C43C2414yes—
690C22⋊C4×C43C2414yes—
691C22⋊C4×C43C2414yes—
692C22⋊C4×C43C2414yes—
693C22⋊C4×C43C2414yes—
694C22⋊C4×C43C2414yes—
695C22⋊C4×C43C2414yes—
696C42×C43C2414yes—
697C42×C43C2414yes—
698C42×C43C2414yes—
699C42×C43C2414yes—
700C22⋊Dic43C2414yes—
701C22⋊Dic43C2414yes—
702C22⋊Dic43C2414yes—
703C22⋊Dic43C2414yes—
704C22⋊Dic43C2414yes—
705C22⋊Dic43C2414yes—
706C22⋊Dic43C2414yes—
707C22⋊Dic43C2414yes—
708C22⋊Dic43C2414yes—
709C22⋊Dic43C2414yes—
710(C2×D43)⋊C4C2414yes—
711(C2×D43)⋊C4C2414yes—
712(C2×D43)⋊C4C2414yes—
713(C2×D43)⋊C4C2414yes—
714(C2×D43)⋊C4C2414yes—
715(C2×D43)⋊C4C2414yes—
716(C2×D43)⋊C4C2414yes—
717(C2×D43)⋊C4C2414yes—
718(C2×D43)⋊C4C2414yes—
719(C2×D43)⋊C4C2414yes—
720(C2×D43)⋊C4C2414yes—
721(C2×D43)⋊C4C2414yes—
722(C2×D43)⋊C4C2414yes—
723(C2×D43)⋊C4C2414yes—
724(C2×D43)⋊C4C2414yes—
725(C2×D43)⋊C4C2414yes—
726(C2×D43)⋊C4C2414yes—
727(C2×D43)⋊C4C2414yes—
728(C2×D43)⋊C4C2414yes—
729(C2×D43)⋊C4C2414yes—
730(C2×D43)⋊C4C2414yes—
731(C2×D43)⋊C4C2414yes—
732(C2×D43)⋊C4C2414yes—
733(C2×D43)⋊C4C2414yes—
734(C2×D43)⋊C4C2414yes—
735(C2×D43)⋊C4C2414yes—
736(C2×D43)⋊C4C2414yes—
737(C2×D43)⋊C4C2414yes—
738C4⋊Dic43C2414yes—
739C4⋊Dic43C2414yes—
740C4⋊Dic43C2414yes—
741C4⋊Dic43C2414yes—
742C4⋊Dic43C2414yes—
743C4⋊Dic43C2414yes—
744C4⋊Dic43C2414yes—
745C4⋊Dic43C2414yes—
746Dic43⋊C4C2414yes—
747Dic43⋊C4C2414yes—
748Dic43⋊C4C2414yes—
749Dic43⋊C4C2414yes—
750Dic43⋊C4C2414yes—
751Dic43⋊C4C2414yes—
752Dic43⋊C4C2414yes—
753Dic43⋊C4C2414yes—
754Dic43⋊C4C2414yes—
755Dic43⋊C4C2414yes—
756Dic43⋊C4C2414yes—
757Dic43⋊C4C2414yes—
758Dic43⋊C4C2414yes—
759Dic43⋊C4C2414yes—
760Dic43⋊C4C2414yes—
761Dic43⋊C4C2414yes—
762Dic43⋊C4C2414yes—
763Dic43⋊C4C2414yes—
764Dic43⋊C4C2414yes—
765Dic43⋊C4C2414yes—
766Dic43⋊C4C2414yes—
767Dic43⋊C4C2414yes—
768Dic43⋊C4C2414yes—
769Dic43⋊C4C2414yes—
770C4×Dic43C2414yes—
771C4×Dic43C2414yes—
772C4×Dic43C2414yes—
773C4×Dic43C2414yes—
774C4×Dic43C2414yes—
775C4×Dic43C2414yes—
776C4×Dic43C2414yes—
777C4×Dic43C2414yes—
778C4×Dic43C2414yes—
779C4×Dic43C2414yes—
780C23×C43—22no—
781C23×C43—22no—
782C23×C43—22no—
783C23×C43—22no—
784C23×C43—22no—
785C23×C43—22no—
786C23×C43—22no—
787C23×C43—22no—
788C23×C43—22no—
789C23×C43C2512yes—
790C23×C43C2512yes—
791C23×C43C2512yes—
792C23×C43C2511yescharacteristic
793C22×D43—22no—
794C22×D43—22no—
795C22×D43—22no—
796C22×D43—22no—
797C22×D43—22no—
798C22×D43—22no—
799C22×D43—22no—
800C22×D43—22no—
801C22×D43—22no—
802C22×D43—22no—
803C22×D43—22no—
804C22×D43—28no—
805C22×D43—28no—
806C22×D43—44no—
807C22×D43—44no—
808C22×D43—44no—
809C22×D43—44no—
810C22×D43—88no—
811C22×D43—88no—
812C22×D432−1+414yes—
813C22×D43C2512yes—
814C22×D43C2512yes—
815C22×D43C2512yes—
816C22×D43C2512yes—
817Q8×C43—44no—
818Q8×C43—44no—
819Q8×C43—44no—
820D4×C43—44no—
821D4×C43—44no—
822D4×C43—44no—
823C2×C4×C43—22no—
824C2×C4×C43—22no—
825C2×C4×C43—22no—
826C2×C4×C43—22no—
827C2×C4×C43—22no—
828C2×C4×C43—22no—
829C2×C4×C43—22no—
830C2×C4×C43—22no—
831C2×C4×C43—22no—
832C2×C4×C43—22no—
833C2×C4×C43—22no—
834C2×C4×C43—22no—
835C2×C4×C43—44no—
836C2×C4×C43—44no—
837C2×C4×C43—44no—
838C2×C4×C43C2512yes—
839C2×C4×C43C2512yes—
840C2×C4×C43C2512yes—
841C2×C4×C43C2512yes—
842C2×C4×C43C2512yes—
843C2×C4×C43C2512yes—
844C2×C4×C43C2512yes—
845C2×C4×C43C2512yes—
846C2×C4×C43C2512yes—
847C2×C4×C43C2512yes—
848C2×C4×C43C2512yes—
849C2×C4×C43C2512yes—
850C22⋊D43—28no—
851C22⋊D43—28no—
852C22⋊D43—28no—
853C22⋊D43—44no—
854C22⋊D43—44no—
855C22⋊D43—44no—
856C22⋊D43—44no—
857C22⋊D43—44no—
858C2×Dic43—22no—
859C2×Dic43—22no—
860C2×Dic43—22no—
861C2×Dic43—22no—
862C2×Dic43—22no—
863C2×Dic43—22no—
864C2×Dic43—22no—
865C2×Dic43—22no—
866C2×Dic43—22no—
867C2×Dic43—22no—
868C2×Dic43—22no—
869C2×Dic43—28no—
870C2×Dic43—44no—
871C2×Dic43—44no—
872C2×Dic43—44no—
873C2×Dic43H(5,𝔽2)14yes—
874C2×Dic43C2512yes—
875C2×Dic43C2512yes—
876C2×Dic43C2512yes—
877C2×Dic43C2512yes—
878C2×Dic43C2512yes—
879C2×Dic43C2512yes—
880C2×Dic43C2512yes—
881C2×Dic43C2512yes—
882C2×Dic43C2512yes—
883C2×Dic43C2512yes—
884C2×Dic43C2512yes—
885C2×Dic43C2512yes—
886D172—28no—
887D172—44no—
888D172—44no—
889D172—44no—
890C4×D43—28no—
891C4×D43—28no—
892C4×D43—28no—
893C4×D43—44no—
894C4×D43—44no—
895C4×D43—44no—
896C4×D43—44no—
897C4×D43—44no—
898C4×D43—44no—
899C4×D43—44no—
900C4×D43—44no—
901C4×D43—44no—
902Dic86—28no—
903Dic86—28no—
904Dic86—28no—
905Dic86—28no—
906Dic86—44no—
907Dic86—44no—
908Dic86—44no—
909Dic86—44no—
910Dic86—44no—
911Dic86—44no—
912C2×#3561—431nomaximal, Sylow
913C22×C43—22no—
914C22×C43—22no—
915C22×C43—22no—
916C22×C43—22no—
917C22×C43—22no—
918C22×C43—22no—
919C22×C43—22no—
920C22×C43—22no—
921C22×C43—22no—
922C22×C43—44no—
923C22×C43—44no—
924C22×C43—44no—
925C22×C43C2×H(5,𝔽2)12yes—
926C22×C43C2×2−1+412yes—
927C22×C43#58512yes—
928C22×C43C2611yescharacteristic
929C2×D43—22no—
930C2×D43—22no—
931C2×D43—28no—
932C2×D43—22no—
933C2×D43—22no—
934C2×D43—22no—
935C2×D43—22no—
936C2×D43—22no—
937C2×D43—22no—
938C2×D43—22no—
939C2×D43—22no—
940C2×D43—22no—
941C2×D43—44no—
942C2×D43—44no—
943C2×D43—44no—
944C2×D43—88no—
945C2×D43—88no—
946C2×D43C2×2−1+414yes—
947C4×C43—22no—
948C4×C43—22no—
949C4×C43—22no—
950C4×C43—22no—
951C4×C43—22no—
952C4×C43—22no—
953C4×C43—22no—
954C4×C43—22no—
955C4×C43—22no—
956C4×C43—22no—
957C4×C43—22no—
958C4×C43—22no—
959Dic43—22no—
960Dic43—22no—
961Dic43—22no—
962Dic43—22no—
963Dic43—22no—
964Dic43—22no—
965Dic43—22no—
966Dic43—22no—
967Dic43—22no—
968Dic43—22no—
969Dic43—22no—
970Dic43C2×H(5,𝔽2)14yes—
971#3561—4332no—
972C2×#563—431no—
973C2×#563—431no—
974C2×#562—431no—
975C2×#562—431no—
976C2×#556—431no—
977C2×#556—431no—
978C2×#551—431no—
979C2×#551—431no—
980C2×#551—431no—
981C2×#551—431no—
982C2×D4×Q8—431no—
983C2×D4×Q8—431no—
984C2×#548—431no—
985C2×#548—431no—
986C2×#546—431no—
987C2×#546—431no—
988C2×#543—431no—
989C2×#543—431no—
990C2×#542—431no—
991C2×#542—431no—
992C2×#542—431no—
993C2×#542—431no—
994C2×#542—431no—
995C2×#542D4311yescharacteristic, complemented
996C2×#538—431no—
997C2×#538—431no—
998C2×#536—431no—
999C2×#536—431no—
1000C2×#533—431no—
1001C2×#529—431no—
1002C22×#124—431no—
1003C2×C43—42no—
1004C2×C43—42no—
1005C2×C43—42no—
1006C2×C43#356114yescomplemented
1007C2×C43C22×H(5,𝔽2)11yescharacteristic
1008C2×C43C22×2−1+411yescharacteristic
1009C2×C43C2×#58511yescharacteristic
1010D43—24no—
1011D43—42no—
1012D43—42no—
1013D43—42no—
1014C22×#41—431no—
1015C22×#41—431no—
1016C23×Q8—431no—
1017C23×Q8—431no—
1018C23×Q8—431no—
1019C23×D4—431no—
1020#563—4316no—
1021#563—4316no—
1022#562—4316no—
1023#562—4316no—
1024#556—4316no—
1025#556—4316no—
1026#551—4316no—
1027#551—4316no—
1028#551—4316no—
1029#551—4316no—
1030D4×Q8—4316no—
1031D4×Q8—4316no—
1032#548—4316no—
1033#548—4316no—
1034#546—4316no—
1035#546—4316no—
1036#543—4316no—
1037#543—4316no—
1038#542—4316no—
1039#542—4316no—
1040#542—4316no—
1041#542—4316no—
1042#542—4316no—
1043#542C2×D43116yescomplemented
1044#538—4316no—
1045#538—4316no—
1046#536—4316no—
1047#536—4316no—
1048#533—4316no—
1049C2×C4⋊Q8—431no—
1050C2×C4⋊Q8—431no—
1051C2×C4⋊Q8—431no—
1052C2×C4⋊Q8—431no—
1053C2×C4⋊Q8—431no—
1054C2×C4⋊Q8—431no—
1055C2×C4⋊Q8—431no—
1056C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1057#529—4316no—
1058C2×#126—431no—
1059C2×#126—431no—
1060C2×#126—431no—
1061C2×#126—431no—
1062C2×#126—431no—
1063C2×#126—431no—
1064C2×#126—431no—
1065C2×#126—431no—
1066C2×#126—431no—
1067C2×#126—431no—
1068C2×#126—431no—
1069C2×#126—431no—
1070C2×#126C2×D4311yescharacteristic, complemented
1071C2×#126C2×D4311yescharacteristic, complemented
1072C2×#125—431no—
1073C2×#125—431no—
1074C2×#125—431no—
1075C2×#124—431no—
1076C2×#124—431no—
1077C2×#124—431no—
1078C2×#124—4316no—
1079C2×#124—431no—
1080C2×#124—431no—
1081C2×#124—431no—
1082C2×#124—431no—
1083C2×#124—431no—
1084C2×#124—431no—
1085C2×#124—431no—
1086C2×#124—431no—
1087C2×#124—431no—
1088C2×#124—431no—
1089C2×#124—431no—
1090C2×#124—431no—
1091C2×#124—431no—
1092C2×#124C2×D4311yescharacteristic
1093C2×#124C2×D4311yescharacteristic, complemented
1094C2×#124C2×D4311yescharacteristic, complemented
1095C2×#123—431no—
1096C2×#123—431no—
1097C2×#123—431no—
1098C2×#123—431no—
1099C2×#123—431no—
1100C2×#123—431no—
1101C2×#123—431no—
1102C2×#123—431no—
1103C2×#123—431no—
1104C2×#123—431no—
1105C2×#123—431no—
1106C2×#123—431no—
1107C2×#123—431no—
1108C2×#123—431no—
1109C2×#123—431no—
1110C2×#123—431no—
1111C2×#123C2×D4311yescharacteristic
1112C2×#123C2×D4311yescharacteristic, complemented
1113C2×C22⋊Q8—431no—
1114C2×C22⋊Q8—431no—
1115C2×C22⋊Q8—431no—
1116C2×C22⋊Q8—431no—
1117C2×C22⋊Q8—431no—
1118C2×C22⋊Q8—431no—
1119C2×C22⋊Q8—431no—
1120C2×C22⋊Q8—431no—
1121C2×C22⋊Q8—431no—
1122C2×C22⋊Q8—431no—
1123C2×C22⋊Q8—431no—
1124C2×C22⋊Q8—431no—
1125C2×C22⋊Q8—431no—
1126C2×C22⋊Q8—431no—
1127C2×C22⋊Q8—431no—
1128C2×C22⋊Q8—431no—
1129C2×C22⋊Q8—431no—
1130C2×C22⋊Q8—431no—
1131C2×C22⋊Q8—431no—
1132C2×C22⋊Q8—431no—
1133C2×C22⋊Q8—431no—
1134C2×C22⋊Q8—431no—
1135C2×C22⋊Q8—431no—
1136C2×C22⋊Q8—431no—
1137C2×C22⋊Q8—431no—
1138C2×C22⋊Q8—431no—
1139C2×C22⋊Q8—431no—
1140C2×C22⋊Q8—431no—
1141C2×C22⋊Q8—431no—
1142C2×C22⋊Q8—431no—
1143C2×C22⋊Q8—431no—
1144C2×C22⋊Q8—431no—
1145C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1146C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1147C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1148C2×#121—431no—
1149C2×#121—431no—
1150C2×#121—431no—
1151C2×#121—431no—
1152C2×#121—431no—
1153C2×#121—431no—
1154C2×#121—431no—
1155C2×#121—431no—
1156C2×#121—431no—
1157C2×#121—431no—
1158C2×#121C2×D4311yescharacteristic
1159C2×#120—431no—
1160C2×#120—431no—
1161C2×#120—431no—
1162C2×#120—431no—
1163C2×C4×Q8—431no—
1164C2×C4×Q8—431no—
1165C2×C4×Q8—431no—
1166C2×C4×Q8—431no—
1167C2×C4×Q8—431no—
1168C2×C4×Q8—431no—
1169C2×C4×Q8C2×D4311yescharacteristic, complemented
1170C2×C4×D4—431no—
1171C2×C4×D4—431no—
1172C2×C4×D4—431no—
1173C2×C4×D4—431no—
1174C2×C4×D4—431no—
1175C2×C4×D4—431no—
1176C2×C4×D4—431no—
1177C2×C4×D4—431no—
1178C2×C4×D4—431no—
1179C2×C4×D4—431no—
1180C2×C4×D4—431no—
1181C2×C4×D4—431no—
1182C2×C4×D4C2×D4311yescharacteristic, complemented
1183C2×#117—431no—
1184C2×#117—431no—
1185C2×#117—431no—
1186C2×#117—431no—
1187C2×#117—431no—
1188C2×#117—431no—
1189C2×#117—431no—
1190C2×#117C2×D4311yescharacteristic, complemented
1191C22×C22⋊C4—431no—
1192C22×C22⋊C4—431no—
1193C22×C22⋊C4—431no—
1194C22×C22⋊C4—431no—
1195C22×C22⋊C4—431no—
1196C22×C22⋊C4—431no—
1197C22×C22⋊C4—431no—
1198C22×C22⋊C4—431no—
1199C22×C42—431no—
1200C43C2×#356111yescharacteristic, complemented, Sylow
1201C25—431no—
1202C25—431no—
1203C2×#41—438no—
1204C2×#41—438no—
1205C2×#41—1724no—
1206C2×#41—1724no—
1207C22×Q8—438no—
1208C22×Q8—438no—
1209C22×Q8—431no—
1210C22×Q8—431no—
1211C22×Q8—431no—
1212C22×Q8—431no—
1213C22×Q8—431no—
1214C22×Q8—431no—
1215C22×Q8—431no—
1216C22×Q8—431no—
1217C22×Q8—431no—
1218C22×Q8—431no—
1219C22×Q8—438no—
1220C22×Q8—1724no—
1221C22×Q8—1724no—
1222C22×Q8—1724no—
1223C22×Q8C22×D4311yescharacteristic
1224C22×Q8C22×D4311yescharacteristic
1225C22×Q8C22×D4311yescharacteristic
1226C22×D4—431no—
1227C22×D4—431no—
1228C22×D4—431no—
1229C22×D4—431no—
1230C22×D4—431no—
1231C22×D4—431no—
1232C22×D4—431no—
1233C22×D4—431no—
1234C22×D4—438no—
1235C22×D4—431no—
1236C22×D4—431no—
1237C22×D4—431no—
1238C22×D4—431no—
1239C22×D4—1724no—
1240C22×D4C22×D4311yescharacteristic
1241C22×D4C22×D4311yescharacteristic
1242C22×D4C22×D4311yescharacteristic
1243C23×C4—431no—
1244C23×C4—431no—
1245C23×C4—431no—
1246C23×C4—431no—
1247C23×C4—431no—
1248C23×C4—431no—
1249C23×C4—431no—
1250C23×C4—431no—
1251C23×C4—431no—
1252C23×C4—431no—
1253C23×C4—431no—
1254C23×C4—431no—
1255C23×C4—431no—
1256C23×C4—431no—
1257C23×C4—431no—
1258C23×C4—431no—
1259C23×C4C22×D4311yescharacteristic
1260C23×C4C22×D4311yescharacteristic
1261C23×C4C22×D4311yescharacteristic
1262C4⋊Q8—438no—
1263C4⋊Q8—438no—
1264C4⋊Q8—438no—
1265C4⋊Q8—438no—
1266C4⋊Q8—438no—
1267C4⋊Q8—438no—
1268C4⋊Q8—438no—
1269C4⋊Q8C22×D4318yescomplemented
1270#126—438no—
1271#126—438no—
1272#126—438no—
1273#126—438no—
1274#126—438no—
1275#126—438no—
1276#126—438no—
1277#126—438no—
1278#126—438no—
1279#126—438no—
1280#126—438no—
1281#126—438no—
1282#126C22×D4318yescomplemented
1283#126C22×D4318yescomplemented
1284#125—438no—
1285#125—438no—
1286#125—438no—
1287#124—438no—
1288#124—438no—
1289#124—438no—
1290#124—438no—
1291#124—438no—
1292#124—438no—
1293#124—438no—
1294#124—438no—
1295#124—438no—
1296#124—438no—
1297#124—438no—
1298#124—438no—
1299#124—438no—
1300#124—438no—
1301#124—438no—
1302#124—438no—
1303#124C22×D4318yes—
1304#124C22×D4318yescomplemented
1305#124C22×D4318yescomplemented
1306#123—438no—
1307#123—438no—
1308#123—438no—
1309#123—438no—
1310#123—438no—
1311#123—438no—
1312#123—438no—
1313#123—438no—
1314#123—438no—
1315#123—438no—
1316#123—438no—
1317#123—438no—
1318#123—438no—
1319#123—438no—
1320#123—438no—
1321#123—438no—
1322#123C22×D4318yes—
1323#123C22×D4318yescomplemented
1324C22⋊Q8—438no—
1325C22⋊Q8—438no—
1326C22⋊Q8—438no—
1327C22⋊Q8—438no—
1328C22⋊Q8—438no—
1329C22⋊Q8—438no—
1330C22⋊Q8—438no—
1331C22⋊Q8—438no—
1332C22⋊Q8—438no—
1333C22⋊Q8—438no—
1334C22⋊Q8—438no—
1335C22⋊Q8—438no—
1336C22⋊Q8—438no—
1337C22⋊Q8—438no—
1338C22⋊Q8—438no—
1339C22⋊Q8—438no—
1340C22⋊Q8—438no—
1341C22⋊Q8—438no—
1342C22⋊Q8—438no—
1343C22⋊Q8—438no—
1344C22⋊Q8—438no—
1345C22⋊Q8—438no—
1346C22⋊Q8—438no—
1347C22⋊Q8—438no—
1348C22⋊Q8—438no—
1349C22⋊Q8—438no—
1350C22⋊Q8—438no—
1351C22⋊Q8—438no—
1352C22⋊Q8—438no—
1353C22⋊Q8—438no—
1354C22⋊Q8—438no—
1355C22⋊Q8—438no—
1356C22⋊Q8C22×D4318yescomplemented
1357C22⋊Q8C22×D4318yescomplemented
1358C22⋊Q8C22×D4318yescomplemented
1359#121—438no—
1360#121—438no—
1361#121—438no—
1362#121—438no—
1363#121—438no—
1364#121—438no—
1365#121—438no—
1366#121—438no—
1367#121—438no—
1368#121—438no—
1369#121C22×D4318yes—
1370#120—438no—
1371#120—438no—
1372#120—438no—
1373#120—438no—
1374C4×Q8—438no—
1375C4×Q8—438no—
1376C4×Q8—438no—
1377C4×Q8—438no—
1378C4×Q8—438no—
1379C4×Q8—438no—
1380C4×Q8C22×D4318yescomplemented
1381C4×D4—438no—
1382C4×D4—438no—
1383C4×D4—438no—
1384C4×D4—438no—
1385C4×D4—438no—
1386C4×D4—438no—
1387C4×D4—438no—
1388C4×D4—438no—
1389C4×D4—438no—
1390C4×D4—438no—
1391C4×D4—438no—
1392C4×D4—438no—
1393C4×D4C22×D4318yescomplemented
1394#117—438no—
1395#117—438no—
1396#117—438no—
1397#117—438no—
1398#117—438no—
1399#117—438no—
1400#117—438no—
1401#117C22×D4318yescomplemented
1402C2×C4⋊C4—431no—
1403C2×C4⋊C4—431no—
1404C2×C4⋊C4—431no—
1405C2×C4⋊C4—431no—
1406C2×C4⋊C4—431no—
1407C2×C4⋊C4—431no—
1408C2×C4⋊C4—431no—
1409C2×C4⋊C4—431no—
1410C2×C4⋊C4—431no—
1411C2×C4⋊C4—431no—
1412C2×C4⋊C4—431no—
1413C2×C4⋊C4—431no—
1414C2×C4⋊C4—431no—
1415C2×C4⋊C4—431no—
1416C2×C4⋊C4—431no—
1417C2×C4⋊C4—431no—
1418C2×C4⋊C4—431no—
1419C2×C4⋊C4—431no—
1420C2×C4⋊C4—431no—
1421C2×C4⋊C4—431no—
1422C2×C4⋊C4—431no—
1423C2×C4⋊C4—431no—
1424C2×C4⋊C4—431no—
1425C2×C4⋊C4—431no—
1426C2×C4⋊C4—431no—
1427C2×C4⋊C4—431no—
1428C2×C4⋊C4—431no—
1429C2×C4⋊C4—431no—
1430C2×C4⋊C4—431no—
1431C2×C4⋊C4—431no—
1432C2×C4⋊C4—431no—
1433C2×C4⋊C4—431no—
1434C2×C4⋊C4C22×D4311yescharacteristic
1435C2×C4⋊C4C22×D4311yescharacteristic
1436C2×C4⋊C4C22×D4311yescharacteristic
1437C2×C4⋊C4C22×D4311yescharacteristic
1438C2×C4⋊C4C22×D4311yescharacteristic
1439C2×C4⋊C4C22×D4311yescharacteristic
1440C2×C4⋊C4C22×D4311yescharacteristic
1441C2×C4⋊C4C22×D4311yescharacteristic
1442C2×C4⋊C4C22×D4311yescharacteristic
1443C2×C4⋊C4C22×D4311yescharacteristic
1444C2×C22⋊C4—431no—
1445C2×C22⋊C4—431no—
1446C2×C22⋊C4—431no—
1447C2×C22⋊C4—431no—
1448C2×C22⋊C4—431no—
1449C2×C22⋊C4—431no—
1450C2×C22⋊C4—431no—
1451C2×C22⋊C4—431no—
1452C2×C22⋊C4—431no—
1453C2×C22⋊C4—431no—
1454C2×C22⋊C4—431no—
1455C2×C22⋊C4—431no—
1456C2×C22⋊C4—431no—
1457C2×C22⋊C4—431no—
1458C2×C22⋊C4—431no—
1459C2×C22⋊C4—431no—
1460C2×C22⋊C4—431no—
1461C2×C22⋊C4—431no—
1462C2×C22⋊C4—431no—
1463C2×C22⋊C4—431no—
1464C2×C22⋊C4—431no—
1465C2×C22⋊C4—431no—
1466C2×C22⋊C4—431no—
1467C2×C22⋊C4—431no—
1468C2×C22⋊C4—431no—
1469C2×C22⋊C4—431no—
1470C2×C22⋊C4—431no—
1471C2×C22⋊C4—431no—
1472C2×C22⋊C4—438no—
1473C2×C22⋊C4—438no—
1474C2×C22⋊C4—431no—
1475C2×C22⋊C4—431no—
1476C2×C22⋊C4—431no—
1477C2×C22⋊C4—431no—
1478C2×C22⋊C4—431no—
1479C2×C22⋊C4—431no—
1480C2×C22⋊C4—431no—
1481C2×C22⋊C4—431no—
1482C2×C22⋊C4—431no—
1483C2×C22⋊C4—431no—
1484C2×C22⋊C4—438no—
1485C2×C22⋊C4—438no—
1486C2×C22⋊C4—438no—
1487C2×C22⋊C4—438no—
1488C2×C22⋊C4—438no—
1489C2×C22⋊C4—438no—
1490C2×C22⋊C4C22×D4311yescharacteristic
1491C2×C22⋊C4C22×D4311yescharacteristic
1492C2×C22⋊C4C22×D4311yescharacteristic
1493C2×C22⋊C4C22×D4311yescharacteristic
1494C2×C22⋊C4C22×D4311yescharacteristic
1495C2×C22⋊C4C22×D4311yescharacteristic
1496C2×C22⋊C4C22×D4311yescharacteristic
1497C2×C22⋊C4C22×D4311yescharacteristic
1498C2×C22⋊C4C22×D4311yescharacteristic
1499C2×C22⋊C4C22×D4311yescharacteristic
1500C2×C22⋊C4C22×D4311yescharacteristic
1501C2×C22⋊C4C22×D4311yescharacteristic
1502C2×C42—431no—
1503C2×C42—431no—
1504C2×C42—431no—
1505C2×C42—431no—
1506C2×C42—431no—
1507C2×C42—431no—
1508C2×C42—431no—
1509C2×C42—431no—
1510C2×C42—431no—
1511C2×C42—431no—
1512C2×C42—438no—
1513C2×C42C22×D4311yescharacteristic
1514C2×C42C22×D4311yescharacteristic
1515C2×C42C22×D4311yescharacteristic
1516C2×C42C22×D4311yescharacteristic
1517C24—431no—
1518C24—431no—
1519C24—431no—
1520C24—431no—
1521C24—434no—
1522C24—434no—
1523C24—864no—
1524C24—864no—
1525C24—1722no—
1526C24—1722no—
1527C24—1722no—
1528C24—1722no—
1529C24C23×D4311yescharacteristic
1530C24C23×D4311yescharacteristic
1531C24C23×D4311yescharacteristic
1532#41—17216no—
1533#41—17216no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—434no—
1538C2×Q8—434no—
1539C2×Q8—434no—
1540C2×Q8—434no—
1541C2×Q8—434no—
1542C2×Q8—434no—
1543C2×Q8—434no—
1544C2×Q8—434no—
1545C2×Q8—434no—
1546C2×Q8—434no—
1547C2×Q8—864no—
1548C2×Q8—864no—
1549C2×Q8—864no—
1550C2×Q8—864no—
1551C2×Q8—1722no—
1552C2×Q8—1722no—
1553C2×Q8—1722no—
1554C2×Q8—1722no—
1555C2×Q8—1722no—
1556C2×Q8—1722no—
1557C2×Q8—17216no—
1558C2×Q8—17216no—
1559C2×Q8—17216no—
1560C2×Q8C23×D4314yes—
1561C2×Q8C23×D4314yes—
1562C2×Q8C23×D4314yes—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—434no—
1567C2×D4—434no—
1568C2×D4—434no—
1569C2×D4—434no—
1570C2×D4—434no—
1571C2×D4—434no—
1572C2×D4—434no—
1573C2×D4—434no—
1574C2×D4—434no—
1575C2×D4—434no—
1576C2×D4—434no—
1577C2×D4—434no—
1578C2×D4—864no—
1579C2×D4—864no—
1580C2×D4—864no—
1581C2×D4—864no—
1582C2×D4—1722no—
1583C2×D4—1722no—
1584C2×D4—1722no—
1585C2×D4—17216no—
1586C2×D4—1722no—
1587C2×D4—1722no—
1588C2×D4—1722no—
1589C2×D4—1722no—
1590C2×D4—1722no—
1591C2×D4C23×D4314yes—
1592C2×D4C23×D4314yes—
1593C2×D4C23×D4314yes—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—431no—
1598C22×C4—434no—
1599C22×C4—431no—
1600C22×C4—431no—
1601C22×C4—431no—
1602C22×C4—431no—
1603C22×C4—431no—
1604C22×C4—431no—
1605C22×C4—431no—
1606C22×C4—431no—
1607C22×C4—431no—
1608C22×C4—431no—
1609C22×C4—431no—
1610C22×C4—434no—
1611C22×C4—434no—
1612C22×C4—434no—
1613C22×C4—434no—
1614C22×C4—434no—
1615C22×C4—434no—
1616C22×C4—434no—
1617C22×C4—434no—
1618C22×C4—434no—
1619C22×C4—434no—
1620C22×C4—434no—
1621C22×C4—434no—
1622C22×C4—434no—
1623C22×C4—434no—
1624C22×C4—434no—
1625C22×C4—864no—
1626C22×C4—864no—
1627C22×C4—864no—
1628C22×C4—864no—
1629C22×C4—1722no—
1630C22×C4—1722no—
1631C22×C4—1722no—
1632C22×C4—1722no—
1633C22×C4—1722no—
1634C22×C4—1722no—
1635C22×C4—1722no—
1636C22×C4—1722no—
1637C22×C4—1722no—
1638C22×C4—1722no—
1639C22×C4—1722no—
1640C22×C4—1722no—
1641C22×C4C23×D4311yescharacteristic
1642C22×C4C23×D4311yescharacteristic
1643C22×C4C23×D4311yescharacteristic
1644C22×C4C23×D4311yescharacteristic
1645C22×C4C23×D4311yescharacteristic
1646C22×C4C23×D4311yescharacteristic
1647C22×C4C23×D4311yescharacteristic
1648C22×C4C23×D4311yescharacteristic
1649C22×C4C23×D4311yescharacteristic
1650C22×C4C23×D4311yescharacteristic
1651C22×C4C23×D4311yescharacteristic
1652C22×C4C23×D4311yescharacteristic
1653C22×C4C23×D4314yes—
1654C22×C4C23×D4314yes—
1655C22×C4C23×D4314yes—
1656C4⋊C4—434no—
1657C4⋊C4—434no—
1658C4⋊C4—434no—
1659C4⋊C4—434no—
1660C4⋊C4—434no—
1661C4⋊C4—434no—
1662C4⋊C4—434no—
1663C4⋊C4—434no—
1664C4⋊C4—434no—
1665C4⋊C4—434no—
1666C4⋊C4—434no—
1667C4⋊C4—434no—
1668C4⋊C4—434no—
1669C4⋊C4—434no—
1670C4⋊C4—434no—
1671C4⋊C4—434no—
1672C4⋊C4—434no—
1673C4⋊C4—434no—
1674C4⋊C4—434no—
1675C4⋊C4—434no—
1676C4⋊C4—434no—
1677C4⋊C4—434no—
1678C4⋊C4—434no—
1679C4⋊C4—434no—
1680C4⋊C4—434no—
1681C4⋊C4—434no—
1682C4⋊C4—434no—
1683C4⋊C4—434no—
1684C4⋊C4—434no—
1685C4⋊C4—434no—
1686C4⋊C4—434no—
1687C4⋊C4—434no—
1688C4⋊C4C23×D4314yes—
1689C4⋊C4C23×D4314yes—
1690C4⋊C4C23×D4314yes—
1691C4⋊C4C23×D4314yes—
1692C4⋊C4C23×D4314yes—
1693C4⋊C4C23×D4314yes—
1694C4⋊C4C23×D4314yes—
1695C4⋊C4C23×D4314yes—
1696C4⋊C4C23×D4314yes—
1697C4⋊C4C23×D4314yes—
1698C22⋊C4—434no—
1699C22⋊C4—434no—
1700C22⋊C4—434no—
1701C22⋊C4—434no—
1702C22⋊C4—434no—
1703C22⋊C4—434no—
1704C22⋊C4—434no—
1705C22⋊C4—434no—
1706C22⋊C4—434no—
1707C22⋊C4—434no—
1708C22⋊C4—434no—
1709C22⋊C4—434no—
1710C22⋊C4—434no—
1711C22⋊C4—434no—
1712C22⋊C4—434no—
1713C22⋊C4—434no—
1714C22⋊C4—434no—
1715C22⋊C4—434no—
1716C22⋊C4—434no—
1717C22⋊C4—434no—
1718C22⋊C4—434no—
1719C22⋊C4—434no—
1720C22⋊C4—434no—
1721C22⋊C4—434no—
1722C22⋊C4—434no—
1723C22⋊C4—434no—
1724C22⋊C4—434no—
1725C22⋊C4—434no—
1726C22⋊C4—434no—
1727C22⋊C4—434no—
1728C22⋊C4—434no—
1729C22⋊C4—434no—
1730C22⋊C4—434no—
1731C22⋊C4—434no—
1732C22⋊C4—434no—
1733C22⋊C4—434no—
1734C22⋊C4—434no—
1735C22⋊C4—434no—
1736C22⋊C4C23×D4314yes—
1737C22⋊C4C23×D4314yes—
1738C22⋊C4C23×D4314yes—
1739C22⋊C4C23×D4314yes—
1740C22⋊C4C23×D4314yes—
1741C22⋊C4C23×D4314yes—
1742C22⋊C4C23×D4314yes—
1743C22⋊C4C23×D4314yes—
1744C22⋊C4C23×D4314yes—
1745C22⋊C4C23×D4314yes—
1746C22⋊C4C23×D4314yes—
1747C22⋊C4C23×D4314yes—
1748C42—434no—
1749C42—434no—
1750C42—434no—
1751C42—434no—
1752C42—434no—
1753C42—434no—
1754C42—434no—
1755C42—434no—
1756C42—434no—
1757C42—434no—
1758C42C23×D4314yes—
1759C42C23×D4314yes—
1760C42C23×D4314yes—
1761C42C23×D4314yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—434no—
1772C23—432no—
1773C23—432no—
1774C23—432no—
1775C23—432no—
1776C23—868no—
1777C23—868no—
1778C23—862no—
1779C23—862no—
1780C23—862no—
1781C23—862no—
1782C23—862no—
1783C23—862no—
1784C23—862no—
1785C23—862no—
1786C23—862no—
1787C23—862no—
1788C23—862no—
1789C23—3448no—
1790C23—3448no—
1791C23—1724no—
1792C23—1724no—
1793C23—1724no—
1794C23—1724no—
1795C23C24×D4312yes—
1796C23C24×D4312yes—
1797C23C24×D4312yes—
1798C23C24×D4311yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—868no—
1803Q8—868no—
1804Q8—868no—
1805Q8—868no—
1806Q8—1724no—
1807Q8—1724no—
1808Q8—1724no—
1809Q8—1724no—
1810Q8—1724no—
1811Q8—1724no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—868no—
1816D4—868no—
1817D4—868no—
1818D4—868no—
1819D4—1724no—
1820D4—1724no—
1821D4—1724no—
1822D4—1724no—
1823D4—1724no—
1824D4—1724no—
1825D4—1724no—
1826D4—1724no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—434no—
1843C2×C4—432no—
1844C2×C4—432no—
1845C2×C4—432no—
1846C2×C4—432no—
1847C2×C4—432no—
1848C2×C4—432no—
1849C2×C4—432no—
1850C2×C4—432no—
1851C2×C4—432no—
1852C2×C4—432no—
1853C2×C4—432no—
1854C2×C4—432no—
1855C2×C4—868no—
1856C2×C4—868no—
1857C2×C4—868no—
1858C2×C4—868no—
1859C2×C4—862no—
1860C2×C4—862no—
1861C2×C4—862no—
1862C2×C4—862no—
1863C2×C4—862no—
1864C2×C4—862no—
1865C2×C4—862no—
1866C2×C4—862no—
1867C2×C4—862no—
1868C2×C4—862no—
1869C2×C4—862no—
1870C2×C4—1724no—
1871C2×C4—1724no—
1872C2×C4—1724no—
1873C2×C4—1724no—
1874C2×C4—1724no—
1875C2×C4—1724no—
1876C2×C4—1724no—
1877C2×C4—1724no—
1878C2×C4—1724no—
1879C2×C4—1724no—
1880C2×C4—1724no—
1881C2×C4—1724no—
1882C2×C4C24×D4312yes—
1883C2×C4C24×D4312yes—
1884C2×C4C24×D4312yes—
1885C2×C4C24×D4312yes—
1886C2×C4C24×D4312yes—
1887C2×C4C24×D4312yes—
1888C2×C4C24×D4312yes—
1889C2×C4C24×D4312yes—
1890C2×C4C24×D4312yes—
1891C2×C4C24×D4312yes—
1892C2×C4C24×D4312yes—
1893C2×C4C24×D4312yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—434no—
1907C22—862no—
1908C22—862no—
1909C22—868no—
1910C22—862no—
1911C22—862no—
1912C22—862no—
1913C22—862no—
1914C22—862no—
1915C22—862no—
1916C22—862no—
1917C22—862no—
1918C22—862no—
1919C22—3448no—
1920C22—3448no—
1921C22—1724no—
1922C22—1724no—
1923C22—1724no—
1924C22H(5,𝔽2)×D4312yes—
1925C222−1+4×D4312yes—
1926C22#1458373512yes—
1927C22C25×D4311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—434no—
1941C4—862no—
1942C4—862no—
1943C4—862no—
1944C4—862no—
1945C4—862no—
1946C4—862no—
1947C4—862no—
1948C4—862no—
1949C4—862no—
1950C4—862no—
1951C4—862no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—864no—
1956C2—1722no—
1957C2—1722no—
1958C2—1722no—
1959C2#1914915914yesdirect product factor
1960C2C2×H(5,𝔽2)×D4311yescharacteristic
1961C2C2×2−1+4×D4311yescharacteristic
1962C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#542C2
socleC23×C43C25
hypercenterC2×#542D43
hypocenterC43C2×#3561
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #19149159C2direct (N × H)
2. C2×#14583652C2semidirect
3. C2×#14583648C2semidirect
4. C2×#14583645C2semidirect
5. C2×#14583644C2semidirect
6. C2×#14583617C2semidirect
7. C2×#14583616C2semidirect
8. C2×#14583579C2semidirect
9. C2×#14583578C2semidirect
10. C2×#14583574C2semidirect
11. C2×#14583573C2semidirect
12. C2×#14583564C2semidirect
13. C2×#14583562C2semidirect
14. C2×#14583558C2semidirect
15. C2×#14583557C2semidirect
16. C2×#14583541C2semidirect
17. C2×#14583538C2semidirect
18. C2×#14583524C2semidirect
19. C2×#14583524C2semidirect
20. C2×#14583521C2semidirect
21. C2×#14583519C2semidirect
22. C2×#14583515C2semidirect
23. C2×#14583513C2semidirect
24. C2×#14583513C2semidirect
25. C2×#14583485C2semidirect
26. C2×#14583483C2semidirect
27. C2×#14583472C2semidirect
28. C2×#14583471C2semidirect
29. C2×#14583453C2semidirect
30. C2×#14583432C2semidirect
31. C2×#124×D43C2semidirect
32. C2×C43×#542C2semidirect
35. C23×Dic86C22semidirect
37. C22×Q8×D43C22semidirect
39. #14583652C22semidirect
40. #14583648C22semidirect
41. #14583645C22semidirect
42. #14583644C22semidirect
43. #14583617C22semidirect
44. #14583616C22semidirect
45. #14583579C22semidirect
46. #14583578C22semidirect
47. #14583574C22semidirect
48. #14583573C22semidirect
49. #14583564C22semidirect
50. #14583562C22semidirect
51. #14583558C22semidirect
52. #14583557C22semidirect
53. #14583541C22semidirect
54. #14583538C22semidirect
55. #14583524C22semidirect
56. #14583524C22semidirect
57. #14583521C22semidirect
58. #14583519C22semidirect
59. #14583515C22semidirect
60. #14583513C22semidirect
61. #14583513C22semidirect
62. #14583485C22semidirect
63. #14583483C22semidirect
64. #14583472C22semidirect
65. #14583471C22semidirect
66. #14583453C22semidirect
67. C2×#13063324C22semidirect
68. C2×#13063324C22semidirect
69. C2×#13063324C22semidirect
70. C2×#13063324C22semidirect
71. C2×#13063324C22semidirect
72. C2×#13063323C22semidirect
73. C2×#13063323C22semidirect
74. #14583432C22semidirect
75. C2×#13063320C22semidirect
76. C2×#13063320C22semidirect
77. C2×#13063320C22semidirect
78. C2×#13063319C22semidirect
79. C2×#13063319C22semidirect
80. C2×#13063319C22semidirect
81. C2×#13063319C22semidirect
82. C2×#13063318C22semidirect
83. C2×#13063318C22semidirect
84. C2×#13063318C22semidirect
85. C2×#13063318C22semidirect
86. C2×#13063318C22semidirect
87. C2×#13063315C22semidirect
88. C2×#13063315C22semidirect
89. C2×#13063315C22semidirect
91. C2×#13063314C22semidirect
93. C2×#13063313C22semidirect
101. C2×#13063311C22semidirect
102. C2×#13063311C22semidirect
103. C2×#13063311C22semidirect
104. C2×#13063311C22semidirect
105. C2×#13063311C22semidirect
106. #124×D43C22semidirect
110. C2×#13063310C22semidirect
111. C2×#13063310C22semidirect
112. C2×#13063310C22semidirect
113. C2×#13063309C22semidirect
114. C2×#13063308C22semidirect
115. C2×#13063308C22semidirect
117. C2×#13063307C22semidirect
118. C2×#13063307C22semidirect
119. C2×#13063307C22semidirect
121. C2×#13063306C22semidirect
122. C2×#13063306C22semidirect
125. C2×#13063305C22semidirect
126. C2×#13063305C22semidirect
127. C2×#13063304C22semidirect
128. C2×#13063304C22semidirect
129. C2×#13063304C22semidirect
135. C2×#13063303C22semidirect
136. C2×#13063303C22semidirect
137. C2×#13063303C22semidirect
138. C2×#13063303C22semidirect
139. C2×#13063303C22semidirect
140. C2×#13063303C22semidirect
141. C2×#13063303C22semidirect
142. C2×#13063302C22semidirect
143. C2×#13063302C22semidirect
144. C2×#13063302C22semidirect
145. C2×#13063302C22semidirect
146. C2×#13063302C22semidirect
147. C2×#13063302C22semidirect
148. C2×#13063302C22semidirect
151. C2×#13063301C22semidirect
152. C2×#13063301C22semidirect
153. C2×#13063301C22semidirect
154. C2×#13063301C22semidirect
156. C2×#13063299C22semidirect
160. C2×#13063298C22semidirect
163. C2×#13063297C22semidirect
164. C2×#13063296C22semidirect
169. C2×C4×Dic86C22semidirect
170. C2×C4×Dic86C22semidirect
171. C2×C4×Dic86C22semidirect
172. C2×C4×Dic86C22semidirect
173. C2×#13063290C22semidirect
174. C2×#13063290C22semidirect
176. C2×C4×D172C22semidirect
184. C2×(C22⋊D43)⋊C4C22semidirect
185. C2×(C22⋊D43)⋊C4C22semidirect
186. C2×(C22⋊D43)⋊C4C22semidirect
187. C2×#13063283C22semidirect
188. C2×#13063283C22semidirect
191. C2×#13063282C22semidirect
192. C2×#13063281C22semidirect
193. C2×#13063281C22semidirect
203. C43×#542C22semidirect
204. C2×C4⋊Q8×C43C22semidirect
205. C2×#126×C43C22semidirect
206. C2×#126×C43C22semidirect
208. C2×#124×C43C22semidirect
209. C2×#124×C43C22semidirect
211. C2×#123×C43C22semidirect
212. C2×C22⋊Q8×C43C22semidirect
213. C2×C22⋊Q8×C43C22semidirect
214. C2×C22⋊Q8×C43C22semidirect
216. C2×C4×Q8×C43C22semidirect
217. C2×C4×D4×C43C22semidirect
218. C2×#117×C43C22semidirect
236. C22×Dic86C23semidirect
240. C2×Q8×D43C23semidirect
271. #13063324C23semidirect
272. #13063324C23semidirect
273. #13063324C23semidirect
274. #13063324C23semidirect
275. #13063324C23semidirect
276. #13063323C23semidirect
277. #13063323C23semidirect
278. #13063320C23semidirect
279. #13063320C23semidirect
280. #13063320C23semidirect
281. #13063319C23semidirect
282. #13063319C23semidirect
283. #13063319C23semidirect
284. #13063319C23semidirect
285. #13063318C23semidirect
286. #13063318C23semidirect
287. #13063318C23semidirect
288. #13063318C23semidirect
289. #13063318C23semidirect
290. #13063315C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
294. #13063314C23semidirect
296. #13063313C23semidirect
304. #13063311C23semidirect
305. #13063311C23semidirect
306. #13063311C23semidirect
307. #13063311C23semidirect
308. #13063311C23semidirect
312. #13063310C23semidirect
313. #13063310C23semidirect
314. #13063310C23semidirect
315. #13063309C23semidirect
316. #13063308C23semidirect
317. #13063308C23semidirect
319. #13063307C23semidirect
320. #13063307C23semidirect
321. #13063307C23semidirect
323. #13063306C23semidirect
324. #13063306C23semidirect
327. #13063305C23semidirect
328. #13063305C23semidirect
329. #13063304C23semidirect
330. #13063304C23semidirect
331. #13063304C23semidirect
337. #13063303C23semidirect
338. #13063303C23semidirect
339. #13063303C23semidirect
340. #13063303C23semidirect
341. #13063303C23semidirect
342. #13063303C23semidirect
343. #13063303C23semidirect
344. #13063302C23semidirect
345. #13063302C23semidirect
346. #13063302C23semidirect
347. #13063302C23semidirect
348. #13063302C23semidirect
349. #13063302C23semidirect
350. #13063302C23semidirect
353. #13063301C23semidirect
354. #13063301C23semidirect
355. #13063301C23semidirect
356. #13063301C23semidirect
358. #13063299C23semidirect
362. #13063298C23semidirect
365. #13063297C23semidirect
366. #13063296C23semidirect
371. C4×Dic86C23semidirect
372. C4×Dic86C23semidirect
373. C4×Dic86C23semidirect
374. C4×Dic86C23semidirect
375. #13063290C23semidirect
376. #13063290C23semidirect
378. C4×D172C23semidirect
386. (C22⋊D43)⋊C4C23semidirect
387. (C22⋊D43)⋊C4C23semidirect
388. (C22⋊D43)⋊C4C23semidirect
389. #13063283C23semidirect
390. #13063283C23semidirect
393. #13063282C23semidirect
394. #13063281C23semidirect
395. #13063281C23semidirect
494. C4⋊Q8×C43C23semidirect
495. #126×C43C23semidirect
496. #126×C43C23semidirect
498. #124×C43C23semidirect
499. #124×C43C23semidirect
501. #123×C43C23semidirect
502. C22⋊Q8×C43C23semidirect
503. C22⋊Q8×C43C23semidirect
504. C22⋊Q8×C43C23semidirect
506. C4×Q8×C43C23semidirect
507. C4×D4×C43C23semidirect
508. #117×C43C23semidirect
995. C2×#542D43semidirect
1006. C2×C43#3561semidirect
1043. #542C2×D43semidirect
1056. C2×C4⋊Q8C2×D43semidirect
1070. C2×#126C2×D43semidirect
1071. C2×#126C2×D43semidirect
1093. C2×#124C2×D43semidirect
1094. C2×#124C2×D43semidirect
1112. C2×#123C2×D43semidirect
1145. C2×C22⋊Q8C2×D43semidirect
1146. C2×C22⋊Q8C2×D43semidirect
1147. C2×C22⋊Q8C2×D43semidirect
1169. C2×C4×Q8C2×D43semidirect
1182. C2×C4×D4C2×D43semidirect
1190. C2×#117C2×D43semidirect
1200. C43C2×#3561semidirect
1269. C4⋊Q8C22×D43semidirect
1282. #126C22×D43semidirect
1283. #126C22×D43semidirect
1304. #124C22×D43semidirect
1305. #124C22×D43semidirect
1323. #123C22×D43semidirect
1356. C22⋊Q8C22×D43semidirect
1357. C22⋊Q8C22×D43semidirect
1358. C22⋊Q8C22×D43semidirect
1380. C4×Q8C22×D43semidirect
1393. C4×D4C22×D43semidirect
1401. #117C22×D43semidirect
1959. C2#19149159direct (N × H)

Maximal subgroups

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

subgroupindex
#191491592
C2×#145836522
C2×#145836482
C2×#145836452
C2×#145836442
C2×#145836172
C2×#145836162
C2×#145835792
C2×#145835782
C2×#145835742
C2×#145835732
C2×#145835642
C2×#145835622
C2×#145835582
C2×#145835572
C2×#145835412
C2×#145835382
C2×#145835242
C2×#145835212
C2×#145835192
C2×#145835152
C2×#145835132
C2×#145834852
C2×#145834832
C2×#145834722
C2×#145834712
C2×#145834532
C2×#145834322
C2×#124×D432
C2×C43×#5422
C2×#356143