Finite Group Databasebeta

← #25304112

Subgroups — #25304112

Order 11008.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583500C211yesmaximal, characteristic, complemented
2#19142938C211yesmaximal, characteristic, complemented
3#19142924C211yesmaximal, characteristic, complemented
4#19141486C211yesmaximal, characteristic, complemented
5#19141387C211yesmaximal, characteristic, complemented
6#19141111C211yesmaximal, characteristic, complemented
7#19140943C211yesmaximal, characteristic, complemented
8#19140934C211yesmaximal, characteristic, complemented
9#19140916C211yesmaximal, characteristic, complemented
10#19140891C211yesmaximal, characteristic, complemented
11#19140885C211yesmaximal, characteristic, complemented
12#19140861C211yesmaximal, characteristic, complemented
13#19140857C211yesmaximal, characteristic, complemented
14#19140841C211yesmaximal, characteristic, complemented
15#19140827C211yesmaximal, characteristic, complemented
16#19140826C211yesmaximal, characteristic, complemented
17#19140812C211yesmaximal, characteristic, complemented
18#19140809C211yesmaximal, characteristic, complemented
19#19140799C211yesmaximal, characteristic, complemented
20#19140724C211yesmaximal, characteristic, complemented
21#19140723C211yesmaximal, characteristic, complemented
22#19140284C211yesmaximal, characteristic, complemented
23#19140224C211yesmaximal, characteristic, complemented
24#19140207C211yesmaximal, characteristic, complemented
25#19140194C211yesmaximal, characteristic, complemented
26#19139535C211yesmaximal, characteristic, complemented
27#19139526C211yesmaximal, characteristic, complemented
28#19138013C211yesmaximal, characteristic, complemented
29#19137980C211yesmaximal, characteristic, complemented
30#19137040C211yesmaximal, characteristic, complemented
31C2×C43×#538C211yesmaximal, characteristic, complemented
32#14583500—28no—
33C2×#13063321C2211yescharacteristic
34C2×#13063321C2211yescharacteristic
35C2×#13063316C2211yescharacteristic, complemented
36C2×#13063308C2211yescharacteristic
37C2×#13063308C2211yescharacteristic
38C2×#13063308C2211yescharacteristic
39C2×#13063308C2211yescharacteristic, complemented
40C2×#13063307C2211yescharacteristic
41C2×#13063307C2211yescharacteristic, complemented
42C2×#13063301C2211yescharacteristic, complemented
43C2×#13063301C2211yescharacteristic, complemented
44C2×#13063300C2211yescharacteristic, complemented
45C2×#13063299C2211yescharacteristic
46C2×#13063299C2211yescharacteristic, complemented
47C2×#13063299C2211yescharacteristic, complemented
48C2×#13063298C2211yescharacteristic
49C2×#13063298C2211yescharacteristic, complemented
50C2×#13063297C2211yescharacteristic
51C2×#13063297C2211yescharacteristic
52C2×#13063297C2211yescharacteristic
53C2×#13063297C2211yescharacteristic, complemented
54C2×#13063297C2211yescharacteristic, complemented
55C2×#13063296C2211yescharacteristic
56C2×#13063296C2211yescharacteristic
57C2×#13063296C2211yescharacteristic
58C2×#13063294C2211yescharacteristic
59C2×#13063294C2211yescharacteristic
60C2×#13063294C2211yescharacteristic
61C2×C4×D172C2211yescharacteristic, complemented
62C2×#13063284C2211yescharacteristic
63C2×#13063282C2211yescharacteristic, complemented
64C22×C4×Dic43C2211yescharacteristic, complemented
65#14582835C2211yescharacteristic
66#14582835C2211yescharacteristic
67#14582835C2211yescharacteristic
68#14582835C2211yescharacteristic, complemented
69#14582832C2211yescharacteristic, complemented
70#14582830C2211yescharacteristic, complemented
71#14582829C2211yescharacteristic, complemented
72#14582829C2211yescharacteristic, complemented
73#14582827C2211yescharacteristic
74#14582825C2211yescharacteristic, complemented
75#14582824C2211yescharacteristic
76#14582824C2211yescharacteristic
77#14582822C2211yescharacteristic
78#14582822C2211yescharacteristic
79#14582822C2211yescharacteristic
80#14582821C2211yescharacteristic, complemented
81#14582818C2211yescharacteristic, complemented
82#14582816C2211yescharacteristic, complemented
83#14582816C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic
85#14582815C2211yescharacteristic
86#14582815C2211yescharacteristic
87#14582814C2211yescharacteristic
88#14582814C2211yescharacteristic
89#14582814C2211yescharacteristic
90#14582814C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic
93#14582813C2211yescharacteristic
94#14582813C2211yescharacteristic
95#14582813C2211yescharacteristic
96#14582813C2211yescharacteristic, complemented
97#14582810C2211yescharacteristic, complemented
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582808C2211yescharacteristic
101#14582808C2211yescharacteristic
102#14582808C2211yescharacteristic
103#14582808C2211yescharacteristic, complemented
104#14582807C2211yescharacteristic
105#14582807C2211yescharacteristic
106#14582807C2211yescharacteristic
107#14582807C2211yescharacteristic
108#14582807C2211yescharacteristic
109#14582807C2211yescharacteristic
110#14582807C2211yescharacteristic
111#14582807C2211yescharacteristic
112#14582807C2211yescharacteristic, complemented
113#14582802C2211yescharacteristic
114#14582801C2211yescharacteristic, complemented
115#14582800C2211yescharacteristic, complemented
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582799C2211yescharacteristic
119#14582799C2211yescharacteristic
120#14582799C2211yescharacteristic
121#14582799C2211yescharacteristic
122#14582799C2211yescharacteristic
123#14582799C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582797C2211yescharacteristic, complemented
127#14582794C2211yescharacteristic, complemented
128#14582794C2211yescharacteristic, complemented
129#14582793C2211yescharacteristic
130#14582793C2211yescharacteristic
131#14582793C2211yescharacteristic
132#14582793C2211yescharacteristic, complemented
133#14582792C2211yescharacteristic
134#14582792C2211yescharacteristic
135#14582790C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582789C2211yescharacteristic, complemented
138#14582789C2211yescharacteristic, complemented
139#14582789C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic
141#14582787C2211yescharacteristic
142#14582787C2211yescharacteristic, complemented
143#14582785C2211yescharacteristic, complemented
144#14582785C2211yescharacteristic, complemented
145#14582783C2211yescharacteristic, complemented
146#14582780C2211yescharacteristic, complemented
147#14582779C2211yescharacteristic
148#14582779C2211yescharacteristic
149#14582779C2211yescharacteristic
150#14582778C2211yescharacteristic
151#14582778C2211yescharacteristic, complemented
152#14582776C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic
156#14582775C2211yescharacteristic
157#14582775C2211yescharacteristic, complemented
158#14582774C2211yescharacteristic, complemented
159#14582774C2211yescharacteristic, complemented
160#14582772C2211yescharacteristic
161#14582772C2211yescharacteristic, complemented
162#14582770C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582770C2211yescharacteristic, complemented
165#14582768C2211yescharacteristic, complemented
166#14582759C2211yescharacteristic, complemented
167#14582757C2211yescharacteristic, complemented
168#14582755C2211yescharacteristic
169C4×C4⋊Dic43C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic, complemented
172#14582745C2211yescharacteristic, complemented
173C43×#538—28no—
174C2×#126×C43C2211yescharacteristic
175C2×#126×C43C2211yescharacteristic
176C2×#124×C43C2211yescharacteristic
177C2×#124×C43C2211yescharacteristic
178C2×#123×C43C2211yescharacteristic
179C2×#123×C43C2211yescharacteristic
180C2×C22⋊Q8×C43C2211yescharacteristic
181C2×#121×C43C2211yescharacteristic
182C2×#121×C43C2211yescharacteristic
183C2×#121×C43C2211yescharacteristic
184C2×#120×C43C2211yescharacteristic
185C2×#120×C43C2211yescharacteristic
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic
188C22×C22⋊C4×C43C2211yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212#13063321—24no—
213#13063321—42no—
214#13063316—24no—
215#13063308—24no—
216#13063308—24no—
217#13063308—42no—
218#13063308—42no—
219#13063307—24no—
220#13063307—24no—
221#13063301—42no—
222#13063301—42no—
223#13063300—24no—
224#13063299—24no—
225#13063299—24no—
226#13063299—42no—
227#13063298—24no—
228#13063298—24no—
229#13063297—42no—
230#13063297—42no—
231#13063297—42no—
232#13063297—42no—
233#13063297—42no—
234#13063296—24no—
235#13063296—42no—
236#13063296—42no—
237#13063294—42no—
238#13063294—42no—
239#13063294—42no—
240C4×D172—24no—
241#13063284—42no—
242#13063282—24no—
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43—42no—
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C25×C43C2311yescharacteristic
342C22×Q8×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354#126×C43—24no—
355#126×C43—24no—
356#124×C43—24no—
357#124×C43—24no—
358#123×C43—24no—
359#123×C43—24no—
360C22⋊Q8×C43—24no—
361#121×C43—24no—
362#121×C43—24no—
363#121×C43—24no—
364#120×C43—24no—
365#120×C43—24no—
366C4×D4×C43—24no—
367C4×D4×C43D418yescomplemented
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43—24no—
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391C24×C43—22no—
392C24×C43—41no—
393C24×C43—41no—
394C24×C43—41no—
395C24×C43—41no—
396C24×C43—41no—
397C24×C43—41no—
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C24×C43C2411yescharacteristic
401C24×C43C2411yescharacteristic
402C24×C43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C23×D43C2411yescharacteristic
405C23×D43C2411yescharacteristic
406C2×Q8×C43—22no—
407C2×Q8×C43—41no—
408C2×Q8×C43—41no—
409C2×D4×C43—22no—
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—22no—
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43C2×D414yes—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43—41no—
440C22×C4×C43C2×D414yes—
441C22×C4×C43C2×D414yes—
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C22×Dic43—22no—
498C22×Dic43—22no—
499C22×Dic43—22no—
500C22×Dic43—41no—
501C22×Dic43—41no—
502C22×Dic43—41no—
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506C22×Dic43C2411yescharacteristic
507C22×Dic43C2411yescharacteristic
508C22×Dic43C2411yescharacteristic
509C22×Dic43C2411yescharacteristic
510C22×Dic43C2411yescharacteristic
511C22×Dic43C2411yescharacteristic
512C22×Dic43C2411yescharacteristic
513C22×Dic43C2411yescharacteristic
514C22×Dic43C2411yescharacteristic
515C22×Dic43C2411yescharacteristic
516C2×D172—22no—
517C2×D172—22no—
518C2×D172—22no—
519C2×D172—41no—
520C2×D172—41no—
521C2×D172—41no—
522C2×D172—41no—
523C2×D172—41no—
524C2×D172—41no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C4⋊C4×C43—22no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43—22no—
537C4⋊C4×C43—22no—
538C4⋊C4×C43—22no—
539C4⋊C4×C43C2×D414yes—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—22no—
543C22⋊C4×C43—22no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43C2×D414yes—
553C22⋊C4×C43C2×D414yes—
554C42×C43—22no—
555C42×C43C2×D414yes—
556C22⋊Dic43—22no—
557C22⋊Dic43—22no—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—41no—
566C22⋊Dic43—41no—
567C22⋊Dic43—41no—
568C22⋊Dic43—41no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576C22⋊Dic43—41no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600C4⋊Dic43—22no—
601C4⋊Dic43—22no—
602C4⋊Dic43—22no—
603C4⋊Dic43—22no—
604C4⋊Dic43—22no—
605C4⋊Dic43—22no—
606C4⋊Dic43—41no—
607Dic43⋊C4—22no—
608Dic43⋊C4—22no—
609Dic43⋊C4—22no—
610Dic43⋊C4—22no—
611Dic43⋊C4—22no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—41no—
615Dic43⋊C4—41no—
616Dic43⋊C4—41no—
617Dic43⋊C4—41no—
618Dic43⋊C4—41no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622C4×Dic43—22no—
623C4×Dic43—22no—
624C4×Dic43—22no—
625C4×Dic43—41no—
626C4×Dic43—41no—
627C4×Dic43—41no—
628C4×Dic43—41no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—44no—
663C23×C43—82no—
664C23×C43—82no—
665C23×C43—82no—
666C23×C43—82no—
667C23×C43—82no—
668C23×C43—82no—
669C23×C43C22×D412yes—
670C23×C43C22×D412yes—
671C23×C43C2511yescharacteristic
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693Q8×C43—82no—
694D4×C43—44no—
695D4×C43—44no—
696D4×C43—82no—
697D4×C43—82no—
698D4×C43—82no—
699D4×C43—82no—
700D4×C43—82no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—44no—
727C2×C4×C43—44no—
728C2×C4×C43—82no—
729C2×C4×C43—82no—
730C2×C4×C43C22×D412yes—
731C2×C4×C43C22×D412yes—
732C2×C4×C43C22×D412yes—
733C2×C4×C43C22×D412yes—
734C2×C4×C43C22×D412yes—
735C22⋊D43—82no—
736C22⋊D43—82no—
737C22⋊D43—82no—
738C22⋊D43—82no—
739C22⋊D43—82no—
740C22⋊D43—82no—
741C22⋊D43—82no—
742C22⋊D43—82no—
743C22⋊D43—82no—
744C22⋊D43—82no—
745C22⋊D43—82no—
746C22⋊D43—82no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—44no—
787C2×Dic43—44no—
788C2×Dic43H(5,𝔽2)12yes—
789C2×Dic43H(5,𝔽2)12yes—
790C2×Dic43H(5,𝔽2)12yes—
791D172—44no—
792D172—82no—
793D172—82no—
794C4×D43—44no—
795C4×D43—82no—
796C4×D43—82no—
797#36744—431nomaximal, Sylow
798C22×C43—22no—
799C22×C43—22no—
800C22×C43—22no—
801C22×C43—22no—
802C22×C43—22no—
803C22×C43—22no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—88no—
834C22×C43C23×D411yescharacteristic
835C22×C43C2×H(5,𝔽2)11yescharacteristic
836C22×C43C2×H(5,𝔽2)11yescharacteristic
837C22×C43C2×H(5,𝔽2)11yescharacteristic
838C22×C43#58511yescharacteristic
839C22×C43#58511yescharacteristic
840C22×C43#58511yescharacteristic
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C4×C43—22no—
863C4×C43—22no—
864C4×C43—22no—
865C4×C43—22no—
866C4×C43—22no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872Dic43—22no—
873Dic43—22no—
874Dic43—22no—
875Dic43—41no—
876Dic43—41no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885C2×#540—431no—
886C2×#538D4311yescharacteristic, complemented
887#2856—431no—
888#2854—431no—
889#2721—431no—
890#2714—431no—
891#2694—431no—
892#2681—431no—
893#2680—431no—
894#2678—431no—
895#2676—431no—
896#2675—431no—
897#2673—431no—
898#2673—431no—
899#2672—431no—
900#2671—431no—
901#2671—431no—
902#2669—431no—
903#2669—431no—
904#2668—431no—
905#2661—431no—
906#2661—431no—
907#2610—431no—
908#2603—431no—
909#2602—431no—
910#2601—431no—
911#2540—431no—
912#2539—431no—
913#2414—431no—
914#2411—431no—
915#2290—431no—
916C2×C43—42no—
917C2×C43—42no—
918C2×C43—81no—
919C2×C43—81no—
920C2×C43—81no—
921C2×C43#344911yescharacteristic
922C2×C43#349611yescharacteristic
923C2×C43#349811yescharacteristic
924C2×C43#353411yescharacteristic
925C2×C43#354211yescharacteristic
926C2×C43#355111yescharacteristic
927C2×C43#356211yescharacteristic
928D43—81no—
929D43—81no—
930D43—81no—
931#540—868no—
932#538—28no—
933C2×#127—431no—
934C2×#127—431no—
935C2×#126C2×D4311yescharacteristic
936C2×#126C2×D4311yescharacteristic
937C2×#125—431no—
938C2×#124C2×D4311yescharacteristic
939C2×#124C2×D4311yescharacteristic
940C2×#123—431no—
941C2×#123—431no—
942C2×#123—431no—
943C2×#123—431no—
944C2×#123—431no—
945C2×#123—431no—
946C2×#123C2×D4311yescharacteristic
947C2×#123C2×D4311yescharacteristic
948C2×C22⋊Q8—431no—
949C2×C22⋊Q8—431no—
950C2×C22⋊Q8C2×D4311yescharacteristic
951C2×#121—431no—
952C2×#121—431no—
953C2×#121—431no—
954C2×#121—431no—
955C2×#121—431no—
956C2×#121—431no—
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121C2×D4311yescharacteristic
966C2×#121C2×D4311yescharacteristic
967C2×#121C2×D4311yescharacteristic
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120C2×D4311yescharacteristic
972C2×#120C2×D4311yescharacteristic
973C2×C4×D4—431no—
974C2×C4×D4C2×D4311yescharacteristic
975C2×C4×D4C2×D4311yescharacteristic
976C2×#117—431no—
977C2×#117—431no—
978C22×C22⋊C4C2×D4311yescharacteristic
979C22×C42—431no—
980#399—431no—
981#399—431no—
982#399—431no—
983#399—431no—
984#398—431no—
985#398—431no—
986#398—431no—
987#398—431no—
988#397—431no—
989#397—431no—
990#397—431no—
991#397—431no—
992#396—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#395—431no—
997#394—431no—
998#394—431no—
999#394—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#393—431no—
1013#392—431no—
1014#392—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#390—431no—
1029#390—431no—
1030#390—431no—
1031#390—431no—
1032#390—431no—
1033#390—431no—
1034#390—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#389—431no—
1042#389—431no—
1043#389—431no—
1044#388—431no—
1045#388—431no—
1046#388—431no—
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#387—431no—
1059#387—431no—
1060#387—431no—
1061#387—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#384—431no—
1081#380—431no—
1082#380—431no—
1083#379—431no—
1084C4×C4⋊C4—431no—
1085C4×C22⋊C4—431no—
1086C4×C22⋊C4—431no—
1087#376—431no—
1088C43#3674411yescharacteristic, complemented, Sylow
1089C25C22×D4311yescharacteristic
1090C22×Q8C22×D4311yescharacteristic
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—431no—
1095C22×D4—431no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4C22×D4311yescharacteristic
1110C22×D4C22×D4311yescharacteristic
1111C22×D4C22×D4311yescharacteristic
1112C22×D4C22×D4311yescharacteristic
1113C22×D4C22×D4311yescharacteristic
1114C22×D4C22×D4311yescharacteristic
1115C22×D4C22×D4311yescharacteristic
1116C23×C4—431no—
1117C23×C4—431no—
1118C23×C4—431no—
1119C23×C4—431no—
1120C23×C4—431no—
1121C23×C4C22×D4311yescharacteristic
1122C23×C4C22×D4311yescharacteristic
1123C23×C4C22×D4311yescharacteristic
1124C23×C4C22×D4311yescharacteristic
1125#127—864no—
1126#127—1722no—
1127#126—24no—
1128#126—24no—
1129#125—864no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—864no—
1135#123—864no—
1136#123—864no—
1137#123—864no—
1138#123—1722no—
1139#123—1722no—
1140C22⋊Q8—24no—
1141C22⋊Q8—1722no—
1142C22⋊Q8—1722no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—864no—
1147#121—864no—
1148#121—864no—
1149#121—864no—
1150#121—864no—
1151#121—864no—
1152#121—1722no—
1153#121—1722no—
1154#121—1722no—
1155#121—1722no—
1156#121—1722no—
1157#121—1722no—
1158#121—1722no—
1159#121—1722no—
1160#120—24no—
1161#120—24no—
1162#120—1722no—
1163#120—1722no—
1164#120—1722no—
1165C4×D4—24no—
1166C4×D4—864no—
1167C4×D4C22⋊D4318yescomplemented
1168#117—864no—
1169#117—1722no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4C22×D4311yescharacteristic
1193C2×C4⋊C4C22×D4311yescharacteristic
1194C2×C4⋊C4C22×D4311yescharacteristic
1195C2×C4⋊C4C22×D4311yescharacteristic
1196C2×C4⋊C4C22×D4311yescharacteristic
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C22⋊C4—24no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4C22×D4311yescharacteristic
1244C2×C22⋊C4C22×D4311yescharacteristic
1245C2×C22⋊C4C22×D4311yescharacteristic
1246C2×C22⋊C4C22×D4311yescharacteristic
1247C2×C22⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4C22×D4311yescharacteristic
1250C2×C22⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C42—431no—
1258C2×C42—431no—
1259C2×C42—431no—
1260C2×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42—431no—
1264C2×C42—1722no—
1265C2×C42C22×D4311yescharacteristic
1266C2×C42C22×D4311yescharacteristic
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—431no—
1299C24—431no—
1300C24—431no—
1301C24C23×D4311yescharacteristic
1302C24C23×D4311yescharacteristic
1303C24C23×D4311yescharacteristic
1304C24C23×D4311yescharacteristic
1305C24C23×D4311yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—1721no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4C2×C22⋊D4314yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—1721no—
1414C22×C4—1721no—
1415C22×C4—1721no—
1416C22×C4—1721no—
1417C22×C4—1721no—
1418C22×C4—1721no—
1419C22×C4—1721no—
1420C22×C4—1721no—
1421C22×C4—1721no—
1422C22×C4C2×C22⋊D4314yes—
1423C22×C4C2×C22⋊D4314yes—
1424C22×C4C23×D4311yescharacteristic
1425C22×C4C23×D4311yescharacteristic
1426C22×C4C23×D4311yescharacteristic
1427C22×C4C23×D4311yescharacteristic
1428C22×C4C23×D4311yescharacteristic
1429C22×C4C23×D4311yescharacteristic
1430C22×C4C23×D4311yescharacteristic
1431C22×C4C23×D4311yescharacteristic
1432C22×C4C23×D4311yescharacteristic
1433C22×C4C23×D4311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—862no—
1440C4⋊C4—862no—
1441C4⋊C4—862no—
1442C4⋊C4—862no—
1443C4⋊C4—862no—
1444C4⋊C4—862no—
1445C4⋊C4—862no—
1446C4⋊C4—862no—
1447C4⋊C4—862no—
1448C4⋊C4—862no—
1449C4⋊C4—862no—
1450C4⋊C4—862no—
1451C4⋊C4—862no—
1452C4⋊C4—1721no—
1453C4⋊C4—1721no—
1454C4⋊C4—1721no—
1455C4⋊C4—1721no—
1456C4⋊C4—1721no—
1457C4⋊C4—1721no—
1458C4⋊C4—1721no—
1459C4⋊C4—1721no—
1460C4⋊C4—1721no—
1461C4⋊C4C2×C22⋊D4314yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—862no—
1475C22⋊C4—862no—
1476C22⋊C4—862no—
1477C22⋊C4—862no—
1478C22⋊C4—862no—
1479C22⋊C4—862no—
1480C22⋊C4—862no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—862no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—1721no—
1494C22⋊C4—1721no—
1495C22⋊C4—1721no—
1496C22⋊C4—1721no—
1497C22⋊C4—1721no—
1498C22⋊C4—1721no—
1499C22⋊C4—1721no—
1500C22⋊C4—1721no—
1501C22⋊C4—1721no—
1502C22⋊C4—1721no—
1503C22⋊C4—1721no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4C2×C22⋊D4314yes—
1519C22⋊C4C2×C22⋊D4314yes—
1520C42—22no—
1521C42—862no—
1522C42—862no—
1523C42—862no—
1524C42—1721no—
1525C42—1721no—
1526C42—1721no—
1527C42—1721no—
1528C42C2×C22⋊D4314yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23C22×C22⋊D4312yes—
1591C23C22×C22⋊D4312yes—
1592C23C24×D4311yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—3442no—
1602D4—3442no—
1603D4—3442no—
1604D4—3442no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—1724no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—432no—
1649C2×C4—432no—
1650C2×C4—432no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—3442no—
1688C2×C4—3442no—
1689C2×C4—1724no—
1690C2×C4—1724no—
1691C2×C4—1724no—
1692C2×C4C22×C22⋊D4312yes—
1693C2×C4C22×C22⋊D4312yes—
1694C2×C4C22×C22⋊D4312yes—
1695C2×C4C22×C22⋊D4312yes—
1696C2×C4C22×C22⋊D4312yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—88no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22C23×C22⋊D4311yescharacteristic
1755C22H(5,𝔽2)×D4311yescharacteristic
1756C22H(5,𝔽2)×D4311yescharacteristic
1757C22H(5,𝔽2)×D4311yescharacteristic
1758C22#1458373411yescharacteristic
1759C22#1458373511yescharacteristic
1760C22#1458373511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—862no—
1772C4—862no—
1773C4—862no—
1774C4—1721no—
1775C4—1721no—
1776C4—1721no—
1777C4—1721no—
1778C4—1721no—
1779C4—1721no—
1780C4—1721no—
1781C4—1721no—
1782C4—1721no—
1783C4—1721no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—3441no—
1790C2—3441no—
1791C2—3441no—
1792C2#1914792411yescharacteristic
1793C2#1914835411yescharacteristic
1794C2#1914836911yescharacteristic
1795C2#1914878411yescharacteristic
1796C2#1914891011yescharacteristic
1797C2#1914901211yescharacteristic
1798C2#1914918211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#538C2
hypercenterC2×#538D43
hypocenterC43#36744
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#14583500C2semidirect
2. #19142938C2semidirect
3. #19142924C2semidirect
4. #19141486C2semidirect
5. #19141387C2semidirect
6. #19141111C2semidirect
7. #19140943C2semidirect
8. #19140934C2semidirect
9. #19140916C2semidirect
10. #19140891C2semidirect
11. #19140885C2semidirect
12. #19140861C2semidirect
13. #19140857C2semidirect
14. #19140841C2semidirect
15. #19140827C2semidirect
16. #19140826C2semidirect
17. #19140812C2semidirect
18. #19140809C2semidirect
19. #19140799C2semidirect
20. #19140724C2semidirect
21. #19140723C2semidirect
22. #19140284C2semidirect
23. #19140224C2semidirect
24. #19140207C2semidirect
25. #19140194C2semidirect
26. #19139535C2semidirect
27. #19139526C2semidirect
28. #19138013C2semidirect
29. #19137980C2semidirect
30. #19137040C2semidirect
31. C2×C43×#538C2semidirect
35. C2×#13063316C22semidirect
39. C2×#13063308C22semidirect
41. C2×#13063307C22semidirect
42. C2×#13063301C22semidirect
43. C2×#13063301C22semidirect
44. C2×#13063300C22semidirect
46. C2×#13063299C22semidirect
47. C2×#13063299C22semidirect
49. C2×#13063298C22semidirect
53. C2×#13063297C22semidirect
54. C2×#13063297C22semidirect
61. C2×C4×D172C22semidirect
63. C2×#13063282C22semidirect
64. C22×C4×Dic43C22semidirect
68. #14582835C22semidirect
69. #14582832C22semidirect
70. #14582830C22semidirect
71. #14582829C22semidirect
72. #14582829C22semidirect
74. #14582825C22semidirect
80. #14582821C22semidirect
81. #14582818C22semidirect
82. #14582816C22semidirect
83. #14582816C22semidirect
90. #14582814C22semidirect
91. #14582814C22semidirect
96. #14582813C22semidirect
97. #14582810C22semidirect
103. #14582808C22semidirect
112. #14582807C22semidirect
114. #14582801C22semidirect
115. #14582800C22semidirect
123. #14582799C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582797C22semidirect
127. #14582794C22semidirect
128. #14582794C22semidirect
132. #14582793C22semidirect
135. #14582790C22semidirect
136. #14582789C22semidirect
137. #14582789C22semidirect
138. #14582789C22semidirect
139. #14582789C22semidirect
142. #14582787C22semidirect
143. #14582785C22semidirect
144. #14582785C22semidirect
145. #14582783C22semidirect
146. #14582780C22semidirect
151. #14582778C22semidirect
152. #14582776C22semidirect
157. #14582775C22semidirect
158. #14582774C22semidirect
159. #14582774C22semidirect
161. #14582772C22semidirect
162. #14582770C22semidirect
163. #14582770C22semidirect
164. #14582770C22semidirect
165. #14582768C22semidirect
166. #14582759C22semidirect
167. #14582757C22semidirect
169. C4×C4⋊Dic43C22semidirect
171. C4×C22⋊Dic43C22semidirect
172. #14582745C22semidirect
367. C4×D4×C43D4semidirect
886. C2×#538D43semidirect
1088. C43#36744semidirect
1167. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835002
#191429382
#191429242
#191414862
#191413872
#191411112
#191409432
#191409342
#191409162
#191408912
#191408852
#191408612
#191408572
#191408412
#191408272
#191408262
#191408122
#191408092
#191407992
#191407242
#191407232
#191402842
#191402242
#191402072
#191401942
#191395352
#191395262
#191380132
#191379802
#191370402
C2×C43×#5382
#3674443