Finite Group Databasebeta

← #25269952

Subgroups — #25269952

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142986C211yesmaximal, characteristic, complemented
2#19142983C211yesmaximal, characteristic, complemented
3#19142915C211yesmaximal, characteristic, complemented
4#19142907C211yesmaximal, characteristic, complemented
5#19140691C211yesmaximal, characteristic, complemented
6#19140642C211yesmaximal, characteristic, complemented
7#19140629C211yesmaximal, characteristic, complemented
8#19140580C211yesmaximal, characteristic, complemented
9#19140069C211yesmaximal, characteristic, complemented
10#19139943C211yesmaximal, characteristic, complemented
11#19139925C211yesmaximal, characteristic, complemented
12#19139918C211yesmaximal, characteristic, complemented
13#19139895C211yesmaximal, characteristic, complemented
14#19139888C211yesmaximal, characteristic, complemented
15#19139813C211yesmaximal, characteristic, complemented
16#19139558C211yesmaximal, characteristic
17#19139337C211yesmaximal, characteristic, complemented
18#19139216C211yesmaximal, characteristic, complemented
19#19139160C211yesmaximal, characteristic, complemented
20#19138852C211yesmaximal, characteristic, complemented
21#19138496C211yesmaximal, characteristic, complemented
22#19138352C211yesmaximal, characteristic, complemented
23#19138337C211yesmaximal, characteristic, complemented
24#19137292C211yesmaximal, characteristic, complemented
25#19137292C211yesmaximal, characteristic, complemented
26#19137230C211yesmaximal, characteristic, complemented
27#19137224C211yesmaximal, characteristic, complemented
28C4×#13063296C211yesmaximal, characteristic, complemented
29#387×D43C211yesmaximal, characteristic, complemented
30C4×#13063287C211yesmaximal, characteristic, complemented
31C43×#2468C211yesmaximal, characteristic, complemented
32C2×#13063307C2211yescharacteristic
33C2×#13063298C2211yescharacteristic
34C2×#13063298C2211yescharacteristic
35C2×#13063296C2211yescharacteristic
36C2×C4×D172C2211yescharacteristic
37C2×#13063287C2211yescharacteristic
38C2×#13063287C2211yescharacteristic
39C2×C4×C22⋊D43C2211yescharacteristic
40C2×C4×C22⋊D43C2211yescharacteristic
41C2×C4⋊C4×D43C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43C2×C42×D43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C43⋊#401C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582839C2211yescharacteristic
48#14582839C2211yescharacteristic
49#14582838C2211yescharacteristic
50#14582838C2211yescharacteristic
51#14582838C2211yescharacteristic
52#14582838C2211yescharacteristic
53#14582837C2211yescharacteristic
54#14582835C2211yescharacteristic
55#14582832C2211yescharacteristic
56#14582831C2211yescharacteristic
57#14582831C2211yescharacteristic
58#14582829C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582827C2211yescharacteristic
61#14582826C2211yescharacteristic
62#14582825C2211yescharacteristic
63#14582824C2211yescharacteristic
64#14582824C2211yescharacteristic
65#14582824C2211yescharacteristic
66#14582822C2211yescharacteristic
67#14582821C2211yescharacteristic
68#14582821C2211yescharacteristic
69#14582815C2211yescharacteristic
70#14582814C2211yescharacteristic
71#14582813C2211yescharacteristic
72#14582807C2211yescharacteristic
73#14582802C2211yescharacteristic
74#14582795C2211yescharacteristic
75#14582793C2211yescharacteristic
76#14582793C2211yescharacteristic
77#14582793C2211yescharacteristic
78#14582793C2211yescharacteristic
79#14582793C2211yescharacteristic
80#14582792C2211yescharacteristic
81#14582792C2211yescharacteristic
82#14582792C2211yescharacteristic
83#14582792C2211yescharacteristic
84#14582792C2211yescharacteristic
85#14582791C2211yescharacteristic
86#14582791C2211yescharacteristic
87#14582787C2211yescharacteristic
88#14582787C2211yescharacteristic
89#14582787C2211yescharacteristic
90#14582787C2211yescharacteristic
91#14582787C2211yescharacteristic
92#14582787C2211yescharacteristic
93#14582786C2211yescharacteristic
94#14582786C2211yescharacteristic
95#14582786C2211yescharacteristic
96#14582786C2211yescharacteristic
97#14582785C2211yescharacteristic
98#14582785C2211yescharacteristic
99#14582785C2211yescharacteristic
100#14582785C2211yescharacteristic
101#14582784C2211yescharacteristic
102#14582784C2211yescharacteristic
103#14582783C2211yescharacteristic
104#14582783C2211yescharacteristic
105#14582783C2211yescharacteristic
106#14582783C2211yescharacteristic
107#14582782C2211yescharacteristic
108#14582782C2211yescharacteristic
109#14582782C2211yescharacteristic
110#14582781C2211yescharacteristic
111#14582781C2211yescharacteristic
112#14582781C2211yescharacteristic
113#14582780C2211yescharacteristic
114#14582780C2211yescharacteristic
115#14582780C2211yescharacteristic
116#14582780C2211yescharacteristic
117#14582780C2211yescharacteristic
118#14582780C2211yescharacteristic
119#14582778C2211yescharacteristic
120#14582778C2211yescharacteristic
121#14582777C2211yescharacteristic
122#14582777C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582775C2211yescharacteristic
133#14582775C2211yescharacteristic
134#14582775C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582773C2211yescharacteristic
137#14582773C2211yescharacteristic
138#14582773C2211yescharacteristic
139#14582770C2211yescharacteristic
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582767C2211yescharacteristic
146#14582766C2211yescharacteristic
147#14582766C2211yescharacteristic
148#14582763C2211yescharacteristic
149#14582763C2211yescharacteristic
150#14582762C2211yescharacteristic
151#14582761C2211yescharacteristic
152#14582759C2211yescharacteristic
153#14582756C2211yescharacteristic
154#14582756C2211yescharacteristic
155#14582756C2211yescharacteristic
156C4⋊C4×Dic43C2211yescharacteristic
157C4⋊C4×Dic43C2211yescharacteristic
158C4×C4⋊Dic43C2211yescharacteristic
159C4×(C2×D43)⋊C4C2211yescharacteristic
160C4×(C2×D43)⋊C4C2211yescharacteristic
161C4×C22⋊Dic43C2211yescharacteristic
162C4×C22⋊Dic43C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C2×#126×C43C2211yescharacteristic
173C2×C4×D4×C43C2211yescharacteristic
174C43×#398C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#394C2211yescharacteristic
177C43×#394C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#388C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#381C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C4×C4⋊C4×C43C2211yescharacteristic
187C22×D172C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202#13063307—42no—
203#13063298—24no—
204#13063298—24no—
205#13063296—24no—
206C4×D172—24no—
207#13063287—24no—
208#13063287—24no—
209C4×C22⋊D43—24no—
210C4×C22⋊D43—24no—
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C4⋊C4×D43—24no—
233C4⋊C4×D43—42no—
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×C4×Dic43C2311yescharacteristic
261C2×C4×Dic43C2311yescharacteristic
262C2×C4×Dic43C2311yescharacteristic
263C2×C4×Dic43C2311yescharacteristic
264C2×C4×Dic43C2311yescharacteristic
265C2×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C42×D43—42no—
273C42×D43—42no—
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C22×D4×C43C2311yescharacteristic
321C23×C4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323#126×C43—42no—
324C4×D4×C43—42no—
325C2×C4⋊C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C42×C43C2311yescharacteristic
345C2×C42×C43C2311yescharacteristic
346C2×C42×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×D4×C43—22no—
362C2×D4×C43—41no—
363C2×D4×C43—41no—
364C22×C4×C43—22no—
365C22×C4×C43—22no—
366C22×C4×C43—41no—
367C22×C4×C43—41no—
368C22×C4×C43—41no—
369C22×C4×C43—41no—
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C22×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C22×C4×C43C2411yescharacteristic
382C22×C4×C43C2411yescharacteristic
383C2×C22⋊D43—22no—
384C2×C22⋊D43—22no—
385C2×C22⋊D43—22no—
386C2×C22⋊D43—22no—
387C2×C22⋊D43—22no—
388C2×C22⋊D43—22no—
389C2×C22⋊D43—22no—
390C2×C22⋊D43—22no—
391C2×C22⋊D43—41no—
392C2×C22⋊D43—41no—
393C2×C22⋊D43—41no—
394C2×C22⋊D43—41no—
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2411yescharacteristic
405C22×Dic43C2411yescharacteristic
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C2×D172—22no—
410C2×D172—22no—
411C2×D172#4114yes—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—41no—
423C2×C4×D43—41no—
424C2×C4×D43—41no—
425C2×C4×D43—41no—
426C2×C4×D43—41no—
427C2×C4×D43—41no—
428C2×C4×D43—41no—
429C2×C4×D43—41no—
430C2×C4×D43—41no—
431C2×C4×D43—41no—
432C2×C4×D43—41no—
433C2×C4×D43—41no—
434C2×C4×D43—41no—
435C2×C4×D43—41no—
436C2×C4×D43—41no—
437C2×C4×D43—41no—
438C2×C4×D43—41no—
439C2×C4×D43—41no—
440C2×C4×D43#4114yes—
441C2×C4×D43#4114yes—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C22⋊C4×C43—22no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—22no—
454C22⋊C4×C43—22no—
455C22⋊C4×C43—41no—
456C22⋊C4×C43—41no—
457C22⋊C4×C43—41no—
458C22⋊C4×C43—41no—
459C22⋊C4×C43—41no—
460C22⋊C4×C43—41no—
461C42×C43—22no—
462C42×C43—22no—
463C42×C43—22no—
464C22⋊Dic43—22no—
465C22⋊Dic43—22no—
466C22⋊Dic43—22no—
467C22⋊Dic43—22no—
468C22⋊Dic43—41no—
469C22⋊Dic43—41no—
470C22⋊Dic43—41no—
471C22⋊Dic43—41no—
472C22⋊Dic43—41no—
473C22⋊Dic43—41no—
474C22⋊Dic43—41no—
475C22⋊Dic43—41no—
476(C2×D43)⋊C4—22no—
477(C2×D43)⋊C4—22no—
478(C2×D43)⋊C4—22no—
479(C2×D43)⋊C4—22no—
480(C2×D43)⋊C4—22no—
481(C2×D43)⋊C4—22no—
482(C2×D43)⋊C4—22no—
483(C2×D43)⋊C4—22no—
484(C2×D43)⋊C4—22no—
485(C2×D43)⋊C4—22no—
486(C2×D43)⋊C4—41no—
487(C2×D43)⋊C4—41no—
488(C2×D43)⋊C4—41no—
489(C2×D43)⋊C4—41no—
490C4⋊Dic43—22no—
491C4⋊Dic43—22no—
492C4⋊Dic43—22no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497C4⋊Dic43—41no—
498C4⋊Dic43—41no—
499Dic43⋊C4—22no—
500Dic43⋊C4—22no—
501Dic43⋊C4—22no—
502Dic43⋊C4—22no—
503Dic43⋊C4—22no—
504Dic43⋊C4—22no—
505Dic43⋊C4—22no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511C4×Dic43—22no—
512C4×Dic43—22no—
513C4×Dic43—22no—
514C4×Dic43—22no—
515C4×Dic43—22no—
516C4×Dic43—41no—
517C4×Dic43—41no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43C2511yescharacteristic
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43C2×#4112yes—
549C22×D43C2×#4112yes—
550C22×D43C2×#4112yes—
551C22×D43C2×#4112yes—
552D4×C43—44no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—82no—
589C2×C4×C43—82no—
590C2×C4×C43C2×#4112yes—
591C2×C4×C43C2×#4112yes—
592C2×C4×C43C2×#4112yes—
593C2×C4×C43H(5,𝔽2)12yes—
594C22⋊D43—44no—
595C22⋊D43—44no—
596C22⋊D43—82no—
597C22⋊D43—82no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43C2×#4112yes—
639C2×Dic43C2×#4112yes—
640D172—28no—
641C4×D43—44no—
642C4×D43—44no—
643C4×D43—44no—
644C4×D43—44no—
645C4×D43—44no—
646C4×D43—44no—
647C4×D43—44no—
648C4×D43—44no—
649C4×D43—82no—
650C4×D43—82no—
651#35028—431nomaximal, Sylow
652C22×C43—41no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43C22×#4111yescharacteristic
667C22×C43C22×#4111yescharacteristic
668C22×C43C22×#4111yescharacteristic
669C22×C43C2×H(5,𝔽2)11yescharacteristic
670C22×C43#58511yescharacteristic
671C22×C43#58511yescharacteristic
672C22×C43#58511yescharacteristic
673C2×D43—22no—
674C2×D43—22no—
675C2×D43—22no—
676C2×D43—22no—
677C2×D43—22no—
678C2×D43—22no—
679C2×D43—22no—
680C2×D43—22no—
681C2×D43—22no—
682C2×D43—41no—
683C2×D43—41no—
684C2×D43—41no—
685C2×D43—41no—
686C2×D43#52914yes—
687C4×C43—22no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700Dic43—22no—
701Dic43—22no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712Dic43—41no—
713Dic43—41no—
714#2866—431no—
715#2865—431no—
716#2853—431no—
717#2852—431no—
718#2655—431no—
719#2652—431no—
720#2651—431no—
721#2648—431no—
722#2591—431no—
723#2579—431no—
724#2578—431no—
725#2577—431no—
726#2576—431no—
727#2575—431no—
728#2569—431no—
729#2543—431no—
730#2524—431no—
731#2515—431no—
732#2510—431no—
733#2481—431no—
734#2468D4311yescharacteristic, complemented
735#2457—431no—
736#2444—431no—
737#2443—431no—
738#2325—431no—
739#2325—431no—
740#2318—431no—
741#2318—431no—
742C4×#121—431no—
743C2×#387—431no—
744C42×D4—431no—
745C2×C43—81no—
746C2×C43—81no—
747C2×C43C2×#52911yescharacteristic
748C2×C43#345511yescharacteristic
749C2×C43#345911yescharacteristic
750C2×C43#350511yescharacteristic
751C2×C43#351211yescharacteristic
752C2×C43#351311yescharacteristic
753C2×C43#352111yescharacteristic
754D43—24no—
755D43—42no—
756C2×#126C2×D4311yescharacteristic
757C2×#123—431no—
758C2×#121—431no—
759C2×#121—431no—
760C2×#121—431no—
761C2×C4×D4—431no—
762C2×C4×D4—431no—
763C2×C4×D4—431no—
764C2×C4×D4—431no—
765C2×C4×D4—431no—
766C2×C4×D4C2×D4311yescharacteristic
767C22×C4⋊C4—431no—
768C22×C4⋊C4—431no—
769C22×C42—431no—
770C22×C42—431no—
771#401—431no—
772#400—431no—
773#400—431no—
774#400—431no—
775#400—431no—
776#400—431no—
777#400—431no—
778#400—431no—
779#400—431no—
780#399—431no—
781#398—431no—
782#398—431no—
783#398—431no—
784#398—431no—
785#398C2×D4311yescharacteristic
786#398C2×D4311yescharacteristic
787#397—431no—
788#397—431no—
789#397—431no—
790#397—431no—
791#397—431no—
792#397—431no—
793#397—431no—
794#396—431no—
795#396—431no—
796#396—431no—
797#394—431no—
798#394—431no—
799#394—431no—
800#394C2×D4311yescharacteristic
801#394C2×D4311yescharacteristic
802#392—431no—
803#390—431no—
804#389—431no—
805#388—431no—
806#388—431no—
807#388—431no—
808#388—431no—
809#388—431no—
810#388—431no—
811#388—431no—
812#388—431no—
813#388—431no—
814#388—431no—
815#388—431no—
816#388—431no—
817#388—431no—
818#388—431no—
819#388—431no—
820#388—431no—
821#388—431no—
822#388—431no—
823#388C2×D4311yescharacteristic
824#388C2×D4311yescharacteristic
825#388C2×D4311yescharacteristic
826#387—431no—
827#387—431no—
828#387—431no—
829#387—431no—
830#387—431no—
831#387—431no—
832#387—431no—
833#387—431no—
834#387—431no—
835#387—431no—
836#387—431no—
837#387—431no—
838#387—431no—
839#387—431no—
840#387—431no—
841#387—431no—
842#387—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387C2×D4311yescharacteristic
853#386—431no—
854#386—431no—
855#386—431no—
856#386—431no—
857#386—431no—
858#386—431no—
859#386—431no—
860#386—431no—
861#386—431no—
862#386—431no—
863#386—431no—
864#386—431no—
865#386—431no—
866#386—431no—
867#386—431no—
868#386—431no—
869#386—431no—
870#385—431no—
871#385—431no—
872#385—431no—
873#385—431no—
874#385—431no—
875#385—431no—
876#385—431no—
877#385—431no—
878#385—431no—
879#385C2×D4311yescharacteristic
880#385C2×D4311yescharacteristic
881#383—431no—
882#383—431no—
883#383—431no—
884#382—431no—
885#382—431no—
886#381—431no—
887#381—431no—
888#381C2×D4311yescharacteristic
889#380—431no—
890#380—431no—
891#380—431no—
892#380—431no—
893#380C2×D4311yescharacteristic
894C4×C4⋊C4—431no—
895C4×C4⋊C4—431no—
896C4×C4⋊C4—431no—
897C4×C4⋊C4C2×D4311yescharacteristic
898C4×C22⋊C4—431no—
899C4×C22⋊C4—431no—
900C4×C22⋊C4—431no—
901C4×C22⋊C4—431no—
902C4×C22⋊C4—431no—
903C4×C22⋊C4—431no—
904C4×C22⋊C4—431no—
905C4×C22⋊C4—431no—
906C2×#95—431no—
907C2×#95—431no—
908C2×#95—431no—
909C2×#95—431no—
910C43—431no—
911C43#3502811yescharacteristic, complemented, Sylow
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4—431no—
916C22×D4—431no—
917C22×D4C22×D4311yescharacteristic
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4—431no—
925C23×C4—431no—
926C23×C4—431no—
927C23×C4—431no—
928C23×C4C22×D4311yescharacteristic
929C23×C4C22×D4311yescharacteristic
930#126—42no—
931#123—1722no—
932#121—864no—
933#121—864no—
934#121—864no—
935C4×D4—42no—
936C4×D4—864no—
937C4×D4—864no—
938C4×D4—864no—
939C4×D4—864no—
940C4×D4—864no—
941C2×C4⋊C4—431no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—864no—
963C2×C4⋊C4—1722no—
964C2×C4⋊C4C22×D4311yescharacteristic
965C2×C4⋊C4C22×D4311yescharacteristic
966C2×C4⋊C4C22×D4311yescharacteristic
967C2×C4⋊C4C22×D4311yescharacteristic
968C2×C4⋊C4C22×D4311yescharacteristic
969C2×C4⋊C4C22×D4311yescharacteristic
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C22⋊C4—431no—
974C2×C22⋊C4—431no—
975C2×C22⋊C4—431no—
976C2×C22⋊C4—431no—
977C2×C22⋊C4—431no—
978C2×C22⋊C4—431no—
979C2×C22⋊C4—431no—
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4C22×D4311yescharacteristic
1000C2×C22⋊C4C22×D4311yescharacteristic
1001C2×C22⋊C4C22×D4311yescharacteristic
1002C2×C22⋊C4C22×D4311yescharacteristic
1003C2×C22⋊C4C22×D4311yescharacteristic
1004C2×C22⋊C4C22×D4311yescharacteristic
1005C2×C22⋊C4C22×D4311yescharacteristic
1006C2×C22⋊C4C22×D4311yescharacteristic
1007C2×C22⋊C4C22×D4311yescharacteristic
1008C2×C22⋊C4C22×D4311yescharacteristic
1009C2×C42—431no—
1010C2×C42—431no—
1011C2×C42—431no—
1012C2×C42—431no—
1013C2×C42—431no—
1014C2×C42—431no—
1015C2×C42—431no—
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—1722no—
1022C2×C42—1722no—
1023C2×C42C22×D4311yescharacteristic
1024C2×C42C22×D4311yescharacteristic
1025C2×C42C22×D4311yescharacteristic
1026#95—431no—
1027#95—431no—
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95—431no—
1071#95—431no—
1072#95C22×D4311yescharacteristic
1073#95C22×D4311yescharacteristic
1074#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078#95C22×D4311yescharacteristic
1079#95C22×D4311yescharacteristic
1080#95C22×D4311yescharacteristic
1081#95C22×D4311yescharacteristic
1082C24—431no—
1083C24—431no—
1084C24C23×D4311yescharacteristic
1085C24C23×D4311yescharacteristic
1086C2×D4—22no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—434no—
1090C2×D4—862no—
1091C2×D4—862no—
1092C2×D4—862no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—862no—
1096C2×D4—862no—
1097C2×D4—862no—
1098C2×D4—862no—
1099C2×D4—862no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C2×D4—1721no—
1103C2×D4—1721no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—431no—
1111C22×C4—431no—
1112C22×C4—434no—
1113C22×C4—434no—
1114C22×C4—431no—
1115C22×C4—431no—
1116C22×C4—431no—
1117C22×C4—431no—
1118C22×C4—431no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—431no—
1126C22×C4—862no—
1127C22×C4—862no—
1128C22×C4—862no—
1129C22×C4—862no—
1130C22×C4—862no—
1131C22×C4—862no—
1132C22×C4—862no—
1133C22×C4—862no—
1134C22×C4—862no—
1135C22×C4—862no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4—1721no—
1145C22×C4—1721no—
1146C22×C4—1721no—
1147C22×C4—1721no—
1148C22×C4—1721no—
1149C22×C4—1721no—
1150C22×C4—1721no—
1151C22×C4—1721no—
1152C22×C4—1721no—
1153C22×C4—1721no—
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C22×C4C23×D4311yescharacteristic
1160C22×C4C23×D4311yescharacteristic
1161C22×C4C23×D4311yescharacteristic
1162C22×C4C23×D4311yescharacteristic
1163C22×C4C23×D4311yescharacteristic
1164C22×C4C23×D4311yescharacteristic
1165C22×C4C23×D4311yescharacteristic
1166C22×C4C23×D4311yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—862no—
1180C4⋊C4—862no—
1181C4⋊C4—862no—
1182C4⋊C4—862no—
1183C4⋊C4—862no—
1184C4⋊C4—862no—
1185C4⋊C4—862no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—862no—
1215C22⋊C4—862no—
1216C22⋊C4—862no—
1217C22⋊C4—862no—
1218C22⋊C4—862no—
1219C22⋊C4—862no—
1220C22⋊C4—862no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—862no—
1237C42—862no—
1238C42—862no—
1239C42—862no—
1240C42—862no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C42—1721no—
1247C42—1721no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—432no—
1263C23—432no—
1264C23—432no—
1265C23—432no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23—861no—
1272C23—861no—
1273C23—861no—
1274C23—861no—
1275C23—861no—
1276C23C24×D4311yescharacteristic
1277D4—44no—
1278D4—868no—
1279D4—3442no—
1280D4—3442no—
1281D4—1724no—
1282D4—1724no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—82no—
1319C2×C4—82no—
1320C2×C4—432no—
1321C2×C4—432no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
1326C2×C4—861no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—3442no—
1363C2×C4—3442no—
1364C2×C4—1724no—
1365C2×C4—1724no—
1366C2×C4—1724no—
1367C2×C4—1724no—
1368C2×C4—1724no—
1369C2×C4—1724no—
1370C2×C4—1724no—
1371C2×C4—1724no—
1372C2×C4#41×D4312yes—
1373C2×C4#41×D4312yes—
1374C2×C4#41×D4312yes—
1375C2×C4#1306337012yes—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—434no—
1391C22—862no—
1392C22—862no—
1393C22—862no—
1394C22—862no—
1395C22—862no—
1396C22—862no—
1397C22—862no—
1398C22—862no—
1399C22—862no—
1400C22—1721no—
1401C22—1721no—
1402C22—1721no—
1403C22—1721no—
1404C22C2×#41×D4311yescharacteristic
1405C22C2×#41×D4311yescharacteristic
1406C22C2×#41×D4311yescharacteristic
1407C22C2×#1306337011yescharacteristic
1408C22#1458373411yescharacteristic
1409C22#1458373511yescharacteristic
1410C22#1458373611yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—862no—
1425C4—862no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C4—1721no—
1435C4—1721no—
1436C4—1721no—
1437C4—1721no—
1438C2—81no—
1439C2—81no—
1440C2—864no—
1441C2—1722no—
1442C2#529×D4311yescharacteristic
1443C2#1914798211yescharacteristic
1444C2#1914800211yescharacteristic
1445C2#1914842211yescharacteristic
1446C2#1914850911yescharacteristic
1447C2#1914853011yescharacteristic
1448C2#1914865811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2468C2
prime radical#19139558C2
hypercenter#2468D43
hypocenterC43#35028
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. #19142986C2semidirect
2. #19142983C2semidirect
3. #19142915C2semidirect
4. #19142907C2semidirect
5. #19140691C2semidirect
6. #19140642C2semidirect
7. #19140629C2semidirect
8. #19140580C2semidirect
9. #19140069C2semidirect
10. #19139943C2semidirect
11. #19139925C2semidirect
12. #19139918C2semidirect
13. #19139895C2semidirect
14. #19139888C2semidirect
15. #19139813C2semidirect
17. #19139337C2semidirect
18. #19139216C2semidirect
19. #19139160C2semidirect
20. #19138852C2semidirect
21. #19138496C2semidirect
22. #19138352C2semidirect
23. #19138337C2semidirect
24. #19137292C2semidirect
25. #19137292C2semidirect
26. #19137230C2semidirect
27. #19137224C2semidirect
28. C4×#13063296C2semidirect
29. #387×D43C2semidirect
30. C4×#13063287C2semidirect
31. C43×#2468C2semidirect
734. #2468D43semidirect
911. C43#35028semidirect

Maximal subgroups

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

subgroupindex
#191429862
#191429832
#191429152
#191429072
#191406912
#191406422
#191406292
#191405802
#191400692
#191399432
#191399252
#191399182
#191398952
#191398882
#191398132
#191395582
#191393372
#191392162
#191391602
#191388522
#191384962
#191383522
#191383372
#191372922
#191372302
#191372242
C4×#130632962
#387×D432
C4×#130632872
C43×#24682
#3502843