Finite Group Databasebeta

← D43×#2654 #25263252

Subgroups — D43×#2654 #25263252

Order 11008.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19140680C211yesmaximal, characteristic, complemented
2#19140679C211yesmaximal, characteristic, complemented
3#19140678C211yesmaximal, characteristic, complemented
4#19140677C211yesmaximal, characteristic, complemented
5#19140676C211yesmaximal, characteristic, complemented
6#19140675C211yesmaximal, characteristic, complemented
7#19140674C211yesmaximal, characteristic, complemented
8#19140673C211yesmaximal, characteristic, complemented
9#19140672C211yesmaximal, characteristic, complemented
10#19140671C211yesmaximal, characteristic, complemented
11#19140670C211yesmaximal, characteristic, complemented
12#19140669C211yesmaximal, characteristic, complemented
13#19140668C211yesmaximal, characteristic, complemented
14#19140667C211yesmaximal, characteristic, complemented
15#19140666C211yesmaximal, characteristic, complemented
16#400×D43C211yesmaximal, characteristic, complemented
17#400×D43C211yesmaximal, characteristic, complemented
18#399×D43C211yesmaximal, characteristic
19#398×D43C211yesmaximal, characteristic, complemented
20#398×D43C211yesmaximal, characteristic, complemented
21#397×D43C211yesmaximal, characteristic
22#397×D43C211yesmaximal, characteristic
23#396×D43C211yesmaximal, characteristic
24#389×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic
26#388×D43C211yesmaximal, characteristic
27#388×D43C211yesmaximal, characteristic
28#387×D43C211yesmaximal, characteristic, complemented
29#387×D43C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2654C211yesmaximal, characteristic, complemented
32C2×C4⋊C4×D43C2211yescharacteristic
33C2×C4⋊C4×D43C2211yescharacteristic
34C2×C4⋊C4×D43C2211yescharacteristic
35C2×C4⋊C4×D43C2211yescharacteristic
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40C2×C4⋊C4×D43C2211yescharacteristic
41C2×C4⋊C4×D43C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43C2×C22⋊C4×D43C2211yescharacteristic
44C2×C22⋊C4×D43C2211yescharacteristic
45C2×C22⋊C4×D43C2211yescharacteristic
46C2×C22⋊C4×D43C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C2×C22⋊C4×D43C2211yescharacteristic
49C2×C22⋊C4×D43C2211yescharacteristic
50C2×C42×D43C2211yescharacteristic
51C2×C42×D43C2211yescharacteristic
52C2×C42×D43C2211yescharacteristic
53#14582841C2211yescharacteristic, complemented
54#14582841C2211yescharacteristic, complemented
55#14582841C2211yescharacteristic, complemented
56#14582841C2211yescharacteristic, complemented
57#14582840C2211yescharacteristic, complemented
58#14582840C2211yescharacteristic, complemented
59#14582840C2211yescharacteristic, complemented
60#14582840C2211yescharacteristic, complemented
61#14582839C2211yescharacteristic, complemented
62#14582839C2211yescharacteristic, complemented
63#14582838C2211yescharacteristic, complemented
64#14582838C2211yescharacteristic, complemented
65#14582837C2211yescharacteristic, complemented
66#14582837C2211yescharacteristic, complemented
67#14582836C2211yescharacteristic
68#14582835C2211yescharacteristic
69#14582835C2211yescharacteristic
70#14582835C2211yescharacteristic
71#14582834C2211yescharacteristic
72#14582834C2211yescharacteristic
73#14582834C2211yescharacteristic
74#14582833C2211yescharacteristic, complemented
75#14582833C2211yescharacteristic, complemented
76#14582833C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582832C2211yescharacteristic, complemented
82#14582831C2211yescharacteristic, complemented
83#14582831C2211yescharacteristic, complemented
84#14582830C2211yescharacteristic, complemented
85#14582830C2211yescharacteristic, complemented
86#14582829C2211yescharacteristic, complemented
87#14582829C2211yescharacteristic, complemented
88#14582828C2211yescharacteristic
89#14582828C2211yescharacteristic
90#14582828C2211yescharacteristic
91#14582828C2211yescharacteristic
92#14582827C2211yescharacteristic
93#14582827C2211yescharacteristic
94#14582827C2211yescharacteristic
95#14582827C2211yescharacteristic
96#14582826C2211yescharacteristic
97#14582826C2211yescharacteristic
98#14582825C2211yescharacteristic
99#14582825C2211yescharacteristic
100#14582824C2211yescharacteristic
101#14582824C2211yescharacteristic
102#14582823C2211yescharacteristic
103#14582822C2211yescharacteristic
104#14582822C2211yescharacteristic
105#14582822C2211yescharacteristic
106#14582821C2211yescharacteristic
107#14582821C2211yescharacteristic
108#14582821C2211yescharacteristic
109#14582798C2211yescharacteristic, complemented
110#14582797C2211yescharacteristic, complemented
111#14582796C2211yescharacteristic, complemented
112#14582796C2211yescharacteristic, complemented
113#14582795C2211yescharacteristic, complemented
114#14582794C2211yescharacteristic, complemented
115#14582794C2211yescharacteristic, complemented
116#14582793C2211yescharacteristic
117#14582793C2211yescharacteristic
118#14582793C2211yescharacteristic
119#14582792C2211yescharacteristic
120#14582792C2211yescharacteristic
121#14582792C2211yescharacteristic
122#14582791C2211yescharacteristic
123#14582791C2211yescharacteristic
124#14582791C2211yescharacteristic
125#14582790C2211yescharacteristic
126#14582790C2211yescharacteristic
127#14582790C2211yescharacteristic
128#14582789C2211yescharacteristic
129#14582789C2211yescharacteristic
130#14582789C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic
133#14582788C2211yescharacteristic
134#14582787C2211yescharacteristic
135#14582787C2211yescharacteristic
136#14582787C2211yescharacteristic
137#14582786C2211yescharacteristic, complemented
138#14582786C2211yescharacteristic, complemented
139#14582785C2211yescharacteristic, complemented
140#14582785C2211yescharacteristic, complemented
141#14582784C2211yescharacteristic, complemented
142#14582784C2211yescharacteristic, complemented
143#14582783C2211yescharacteristic, complemented
144#14582783C2211yescharacteristic, complemented
145#14582782C2211yescharacteristic, complemented
146#14582782C2211yescharacteristic, complemented
147#14582781C2211yescharacteristic, complemented
148#14582781C2211yescharacteristic, complemented
149#14582780C2211yescharacteristic, complemented
150#14582780C2211yescharacteristic, complemented
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4×Dic43⋊C4C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic43C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158#95×D43C2211yescharacteristic
159#95×D43C2211yescharacteristic
160#95×D43C2211yescharacteristic
161#95×D43C2211yescharacteristic
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#400C2211yescharacteristic, complemented
173C43×#400C2211yescharacteristic, complemented
174C43×#399C2211yescharacteristic
175C43×#398C2211yescharacteristic, complemented
176C43×#398C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic
178C43×#397C2211yescharacteristic
179C43×#396C2211yescharacteristic
180C43×#389C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#387C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C4×C4⋊C4×C43C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C22×C4×D43C2311yescharacteristic
189C22×C4×D43C2311yescharacteristic
190C22×C4×D43C2311yescharacteristic
191C22×C4×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
202C2×C4⋊Dic43C2311yescharacteristic
203C2×C4⋊Dic43C2311yescharacteristic
204C2×C4⋊Dic43C2311yescharacteristic
205C2×C4⋊Dic43C2311yescharacteristic
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×Dic43⋊C4C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
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
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C4⋊C4×D43—24no—
236C4⋊C4×D43—24no—
237C4⋊C4×D43—24no—
238C4⋊C4×D43—24no—
239C4⋊C4×D43—24no—
240C4⋊C4×D43—42no—
241C4⋊C4×D43—42no—
242C4⋊C4×D43—42no—
243C4⋊C4×D43—42no—
244C4⋊C4×D43—42no—
245C4⋊C4×D43—42no—
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C22⋊C4×D43—24no—
268C22⋊C4×D43—24no—
269C22⋊C4×D43—24no—
270C22⋊C4×D43—42no—
271C22⋊C4×D43—42no—
272C22⋊C4×D43—42no—
273C22⋊C4×D43—42no—
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C42×D43—24no—
284C42×D43—42no—
285C42×D43—42no—
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
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C42×C43C2311yescharacteristic
347C2×C42×C43C2311yescharacteristic
348C2×C42×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
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C23×D43—22no—
365C23×D43—22no—
366C23×D43—22no—
367C23×D43—22no—
368C23×D43—22no—
369C23×D43—22no—
370C23×D43—22no—
371C23×D43C2411yescharacteristic
372C23×D43C2411yescharacteristic
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
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C22×Dic43C2411yescharacteristic
389C22×Dic43C2411yescharacteristic
390C22×Dic43C2411yescharacteristic
391C22×Dic43C2411yescharacteristic
392C22×Dic43C2411yescharacteristic
393C22×Dic43C2411yescharacteristic
394C22×Dic43C2411yescharacteristic
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C2×C4×D43—22no—
402C2×C4×D43—22no—
403C2×C4×D43—22no—
404C2×C4×D43—22no—
405C2×C4×D43—22no—
406C2×C4×D43—22no—
407C2×C4×D43—22no—
408C2×C4×D43—22no—
409C2×C4×D43—22no—
410C2×C4×D43—22no—
411C2×C4×D43—22no—
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—22no—
423C2×C4×D43—22no—
424C2×C4×D43—22no—
425C2×C4×D43—22no—
426C2×C4×D43—22no—
427C2×C4×D43—22no—
428C2×C4×D43—22no—
429C2×C4×D43—22no—
430C2×C4×D43—22no—
431C2×C4×D43—22no—
432C2×C4×D43—22no—
433C2×C4×D43—22no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43#4114yes—
441C2×C4×D43#4114yes—
442C2×C4×D43#4114yes—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—22no—
447C4⋊C4×C43—22no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C22⋊C4×C43—22no—
455C22⋊C4×C43—22no—
456C22⋊C4×C43—22no—
457C22⋊C4×C43—41no—
458C22⋊C4×C43—41no—
459C22⋊C4×C43—41no—
460C22⋊C4×C43—41no—
461C42×C43—22no—
462C42×C43—41no—
463C42×C43—41no—
464C22⋊Dic43—22no—
465C22⋊Dic43—22no—
466C22⋊Dic43—22no—
467C22⋊Dic43—41no—
468C22⋊Dic43—41no—
469C22⋊Dic43—41no—
470C22⋊Dic43—41no—
471(C2×D43)⋊C4—22no—
472(C2×D43)⋊C4—22no—
473(C2×D43)⋊C4—22no—
474(C2×D43)⋊C4—22no—
475(C2×D43)⋊C4—22no—
476(C2×D43)⋊C4—22no—
477(C2×D43)⋊C4—41no—
478(C2×D43)⋊C4—41no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485C4⋊Dic43—22no—
486C4⋊Dic43—22no—
487C4⋊Dic43—22no—
488C4⋊Dic43—22no—
489C4⋊Dic43—22no—
490C4⋊Dic43—41no—
491C4⋊Dic43—41no—
492C4⋊Dic43—41no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495C4⋊Dic43—41no—
496Dic43⋊C4—22no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
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—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517Dic43⋊C4—41no—
518C4×Dic43—22no—
519C4×Dic43—22no—
520C4×Dic43—22no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C4×Dic43—41no—
524C4×Dic43—41no—
525C4×Dic43—41no—
526C4×Dic43—41no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43C2511yescharacteristic
535C22×D43—21no—
536C22×D43—21no—
537C22×D43—21no—
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—44no—
543C22×D43—44no—
544C22×D43—44no—
545C22×D43—44no—
546C22×D43—44no—
547C22×D43—44no—
548C22×D43—44no—
549C22×D43C2×#4112yes—
550C22×D43C2×#4112yes—
551C22×D43C2×#4112yes—
552C22×D43H(5,𝔽2)12yes—
553C22×D43H(5,𝔽2)12yes—
554C22×D432−1+412yes—
555C22×D432−1+412yes—
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—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43C2×#4112yes—
596C2×C4×C43C2×#4112yes—
597C2×C4×C43C2×#4112yes—
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×Dic43C2×#4112yes—
638C2×Dic43C2×#4112yes—
639C2×Dic43C2×#4112yes—
640C4×D43—28no—
641C4×D43—28no—
642C4×D43—28no—
643C4×D43—44no—
644C4×D43—44no—
645C4×D43—44no—
646C4×D43—44no—
647C4×D43—44no—
648C4×D43—44no—
649C4×D43—44no—
650C4×D43—44no—
651C4×D43—44no—
652C4×D43—44no—
653C4×D43—44no—
654C2×#2654—431nomaximal, Sylow
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43C22×#4111yescharacteristic
663C22×C43C22×#4111yescharacteristic
664C22×C43C22×#4111yescharacteristic
665C22×C43C2×H(5,𝔽2)11yescharacteristic
666C22×C43C2×H(5,𝔽2)11yescharacteristic
667C22×C43C2×2−1+411yescharacteristic
668C22×C43C2×2−1+411yescharacteristic
669C2×D43—41no—
670C2×D43—41no—
671C2×D43—41no—
672C2×D43—41no—
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—88no—
677C2×D43#52914yes—
678C2×D43#53914yes—
679C2×D43#53914yes—
680C2×D43#54014yes—
681C2×D43#54114yes—
682C2×D43#54214yes—
683C2×D43#54214yes—
684C4×C43—22no—
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698Dic43—22no—
699Dic43—22no—
700Dic43—22no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712#2654—431no—
713#2654—431no—
714#2654—431no—
715#2654—431no—
716#2654—431no—
717#2654—431no—
718#2654—431no—
719#2654—431no—
720#2654—431no—
721#2654—431no—
722#2654—431no—
723#2654—431no—
724#2654—431no—
725#2654—431no—
726#2654—431no—
727#2654D4311yescharacteristic, direct product factor
728C2×#400—431no—
729C2×#400—431no—
730C2×#399—431no—
731C2×#398—431no—
732C2×#398—431no—
733C2×#397—431no—
734C2×#397—431no—
735C2×#396—431no—
736C2×#389—431no—
737C2×#388—431no—
738C2×#388—431no—
739C2×#388—431no—
740C2×#387—431no—
741C2×#387—431no—
742C2×C4×C4⋊C4—431no—
743C2×C43—81no—
744C2×C43C2×#52911yescharacteristic
745C2×C43C2×#53911yescharacteristic
746C2×C43C2×#53911yescharacteristic
747C2×C43C2×#54011yescharacteristic
748C2×C43C2×#54111yescharacteristic
749C2×C43C2×#54211yescharacteristic
750C2×C43C2×#54211yescharacteristic
751D43—81no—
752D43#265418yesdirect product factor
753C22×C4⋊C4—431no—
754C22×C4⋊C4—431no—
755C22×C4⋊C4—431no—
756C22×C4⋊C4—431no—
757C22×C4⋊C4—431no—
758C22×C4⋊C4—431no—
759C22×C4⋊C4—431no—
760C22×C4⋊C4—431no—
761C22×C4⋊C4—431no—
762C22×C4⋊C4—431no—
763C22×C4⋊C4—431no—
764C22×C22⋊C4—431no—
765C22×C22⋊C4—431no—
766C22×C22⋊C4—431no—
767C22×C22⋊C4—431no—
768C22×C22⋊C4—431no—
769C22×C22⋊C4—431no—
770C22×C22⋊C4—431no—
771C22×C42—431no—
772C22×C42—431no—
773C22×C42—431no—
774#400—431no—
775#400—431no—
776#400—431no—
777#400—431no—
778#400—431no—
779#400—431no—
780#400—431no—
781#400—431no—
782#400—431no—
783#400—431no—
784#400—431no—
785#400—431no—
786#400—431no—
787#400—431no—
788#400C2×D4311yescharacteristic, complemented
789#400C2×D4311yescharacteristic, complemented
790#399—431no—
791#399—431no—
792#399—431no—
793#399—431no—
794#399—431no—
795#399—431no—
796#399—431no—
797#399C2×D4311yescharacteristic
798#398—431no—
799#398—431no—
800#398—431no—
801#398—431no—
802#398—431no—
803#398—431no—
804#398—431no—
805#398—431no—
806#398—431no—
807#398—431no—
808#398—431no—
809#398—431no—
810#398—431no—
811#398—431no—
812#398C2×D4311yescharacteristic, complemented
813#398C2×D4311yescharacteristic, complemented
814#397—431no—
815#397—431no—
816#397—431no—
817#397—431no—
818#397—431no—
819#397—431no—
820#397—431no—
821#397—431no—
822#397—431no—
823#397—431no—
824#397—431no—
825#397—431no—
826#397—431no—
827#397—431no—
828#397C2×D4311yescharacteristic
829#397C2×D4311yescharacteristic
830#396—431no—
831#396—431no—
832#396—431no—
833#396—431no—
834#396—431no—
835#396—431no—
836#396—431no—
837#396C2×D4311yescharacteristic
838#389—431no—
839#389—431no—
840#389—431no—
841#389—431no—
842#389—431no—
843#389—431no—
844#389—431no—
845#389C2×D4311yescharacteristic, complemented
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#388—431no—
862#388—431no—
863#388—431no—
864#388—431no—
865#388—431no—
866#388—431no—
867#388C2×D4311yescharacteristic
868#388C2×D4311yescharacteristic
869#388C2×D4311yescharacteristic
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#387—431no—
882#387—431no—
883#387—431no—
884#387C2×D4311yescharacteristic, complemented
885#387C2×D4311yescharacteristic, complemented
886C4×C4⋊C4—431no—
887C4×C4⋊C4—431no—
888C4×C4⋊C4—431no—
889C4×C4⋊C4—431no—
890C4×C4⋊C4—431no—
891C4×C4⋊C4—431no—
892C4×C4⋊C4—431no—
893C4×C4⋊C4C2×D4311yescharacteristic, complemented
894C2×#95—431no—
895C2×#95—431no—
896C2×#95—431no—
897C2×#95—431no—
898C2×#95—431no—
899C2×#95—431no—
900C2×#95—431no—
901C2×#95—431no—
902C2×#95—431no—
903C2×#95—431no—
904C2×#95—431no—
905C2×#95—431no—
906C2×#95—431no—
907C2×#95—431no—
908C43C2×#265411yescharacteristic, complemented, Sylow
909C25—431no—
910C23×C4—431no—
911C23×C4—431no—
912C23×C4—431no—
913C23×C4—431no—
914C23×C4—431no—
915C23×C4—431no—
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C2×C4⋊C4—431no—
925C2×C4⋊C4—431no—
926C2×C4⋊C4—431no—
927C2×C4⋊C4—431no—
928C2×C4⋊C4—431no—
929C2×C4⋊C4—431no—
930C2×C4⋊C4—431no—
931C2×C4⋊C4—431no—
932C2×C4⋊C4—431no—
933C2×C4⋊C4—431no—
934C2×C4⋊C4—431no—
935C2×C4⋊C4—431no—
936C2×C4⋊C4—431no—
937C2×C4⋊C4—431no—
938C2×C4⋊C4—431no—
939C2×C4⋊C4—431no—
940C2×C4⋊C4—431no—
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—864no—
958C2×C4⋊C4—864no—
959C2×C4⋊C4—864no—
960C2×C4⋊C4—864no—
961C2×C4⋊C4—864no—
962C2×C4⋊C4—1722no—
963C2×C4⋊C4—1722no—
964C2×C4⋊C4—1722no—
965C2×C4⋊C4—1722no—
966C2×C4⋊C4—1722no—
967C2×C4⋊C4—1722no—
968C2×C4⋊C4C22×D4311yescharacteristic
969C2×C4⋊C4C22×D4311yescharacteristic
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
978C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1000C2×C22⋊C4—864no—
1001C2×C22⋊C4—864no—
1002C2×C22⋊C4—864no—
1003C2×C22⋊C4—1722no—
1004C2×C22⋊C4—1722no—
1005C2×C22⋊C4—1722no—
1006C2×C22⋊C4—1722no—
1007C2×C22⋊C4C22×D4311yescharacteristic
1008C2×C22⋊C4C22×D4311yescharacteristic
1009C2×C22⋊C4C22×D4311yescharacteristic
1010C2×C22⋊C4C22×D4311yescharacteristic
1011C2×C22⋊C4C22×D4311yescharacteristic
1012C2×C22⋊C4C22×D4311yescharacteristic
1013C2×C22⋊C4C22×D4311yescharacteristic
1014C2×C42—431no—
1015C2×C42—431no—
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—864no—
1024C2×C42—1722no—
1025C2×C42—1722no—
1026C2×C42C22×D4311yescharacteristic
1027C2×C42C22×D4311yescharacteristic
1028C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
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
1082#95C22×D4311yescharacteristic
1083#95C22×D4311yescharacteristic
1084#95C22×D4311yescharacteristic
1085C24—431no—
1086C24—431no—
1087C24—862no—
1088C24—862no—
1089C24—862no—
1090C24—862no—
1091C24—862no—
1092C24—862no—
1093C24—862no—
1094C24C23×D4311yescharacteristic
1095C22×C4—431no—
1096C22×C4—431no—
1097C22×C4—431no—
1098C22×C4—434no—
1099C22×C4—434no—
1100C22×C4—434no—
1101C22×C4—431no—
1102C22×C4—431no—
1103C22×C4—431no—
1104C22×C4—431no—
1105C22×C4—431no—
1106C22×C4—431no—
1107C22×C4—431no—
1108C22×C4—431no—
1109C22×C4—431no—
1110C22×C4—431no—
1111C22×C4—431no—
1112C22×C4—862no—
1113C22×C4—862no—
1114C22×C4—862no—
1115C22×C4—862no—
1116C22×C4—862no—
1117C22×C4—862no—
1118C22×C4—862no—
1119C22×C4—862no—
1120C22×C4—862no—
1121C22×C4—862no—
1122C22×C4—862no—
1123C22×C4—862no—
1124C22×C4—862no—
1125C22×C4—862no—
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—862no—
1137C22×C4—862no—
1138C22×C4—862no—
1139C22×C4—862no—
1140C22×C4—862no—
1141C22×C4—862no—
1142C22×C4—862no—
1143C22×C4—862no—
1144C22×C4—862no—
1145C22×C4—862no—
1146C22×C4—862no—
1147C22×C4—862no—
1148C22×C4—862no—
1149C22×C4—862no—
1150C22×C4—862no—
1151C22×C4C23×D4311yescharacteristic
1152C22×C4C23×D4311yescharacteristic
1153C22×C4C23×D4311yescharacteristic
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
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—41no—
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—862no—
1187C4⋊C4—862no—
1188C4⋊C4—862no—
1189C4⋊C4—862no—
1190C4⋊C4—862no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C4⋊C4—1721no—
1198C4⋊C4—1721no—
1199C4⋊C4—1721no—
1200C4⋊C4—1721no—
1201C4⋊C4—1721no—
1202C4⋊C4—1721no—
1203C4⋊C4—1721no—
1204C4⋊C4—1721no—
1205C4⋊C4—1721no—
1206C4⋊C4—1721no—
1207C4⋊C4—1721no—
1208C4⋊C4—1721no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—862no—
1217C22⋊C4—862no—
1218C22⋊C4—862no—
1219C22⋊C4—862no—
1220C22⋊C4—862no—
1221C22⋊C4—862no—
1222C22⋊C4—862no—
1223C22⋊C4—862no—
1224C22⋊C4—862no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C22⋊C4—1721no—
1234C22⋊C4—1721no—
1235C22⋊C4—1721no—
1236C22⋊C4—1721no—
1237C42—22no—
1238C42—41no—
1239C42—41no—
1240C42—862no—
1241C42—862no—
1242C42—862no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C42—1721no—
1247C42—1721no—
1248C42—1721no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—432no—
1257C23—432no—
1258C23—432no—
1259C23—432no—
1260C23—432no—
1261C23—432no—
1262C23—432no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—1724no—
1271C23—1724no—
1272C23—1724no—
1273C23—1724no—
1274C23—1724no—
1275C23—1724no—
1276C23—1724no—
1277C23C24×D4311yescharacteristic
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
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—432no—
1318C2×C4—432no—
1319C2×C4—432no—
1320C2×C4—868no—
1321C2×C4—868no—
1322C2×C4—868no—
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—1724no—
1363C2×C4—1724no—
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—1724no—
1373C2×C4#41×D4312yes—
1374C2×C4#41×D4312yes—
1375C2×C4#41×D4312yes—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—434no—
1384C22—434no—
1385C22—434no—
1386C22—434no—
1387C22—434no—
1388C22—434no—
1389C22—434no—
1390C22—3448no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22—1721no—
1397C22—1721no—
1398C22C2×#41×D4311yescharacteristic
1399C22C2×#41×D4311yescharacteristic
1400C22C2×#41×D4311yescharacteristic
1401C22H(5,𝔽2)×D4311yescharacteristic
1402C22H(5,𝔽2)×D4311yescharacteristic
1403C222−1+4×D4311yescharacteristic
1404C222−1+4×D4311yescharacteristic
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—862no—
1420C4—862no—
1421C4—862no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C2—81no—
1434C2—438no—
1435C2—3441no—
1436C2#529×D4311yescharacteristic
1437C2#539×D4311yescharacteristic
1438C2#539×D4311yescharacteristic
1439C2#540×D4311yescharacteristic
1440C2#541×D4311yescharacteristic
1441C2#542×D4311yescharacteristic
1442C2#542×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2654C2
prime radicalC24×D43C23
hypercenter#2654D43
hypocenterC43C2×#2654
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2654

Complements

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

NH ≅ G/Ntype
1. #19140680C2semidirect
2. #19140679C2semidirect
3. #19140678C2semidirect
4. #19140677C2semidirect
5. #19140676C2semidirect
6. #19140675C2semidirect
7. #19140674C2semidirect
8. #19140673C2semidirect
9. #19140672C2semidirect
10. #19140671C2semidirect
11. #19140670C2semidirect
12. #19140669C2semidirect
13. #19140668C2semidirect
14. #19140667C2semidirect
15. #19140666C2semidirect
16. #400×D43C2semidirect
17. #400×D43C2semidirect
19. #398×D43C2semidirect
20. #398×D43C2semidirect
24. #389×D43C2semidirect
28. #387×D43C2semidirect
29. #387×D43C2semidirect
30. C4×C4⋊C4×D43C2semidirect
31. C43×#2654C2semidirect
53. #14582841C22semidirect
54. #14582841C22semidirect
55. #14582841C22semidirect
56. #14582841C22semidirect
57. #14582840C22semidirect
58. #14582840C22semidirect
59. #14582840C22semidirect
60. #14582840C22semidirect
61. #14582839C22semidirect
62. #14582839C22semidirect
63. #14582838C22semidirect
64. #14582838C22semidirect
65. #14582837C22semidirect
66. #14582837C22semidirect
74. #14582833C22semidirect
75. #14582833C22semidirect
76. #14582833C22semidirect
77. #14582833C22semidirect
78. #14582832C22semidirect
79. #14582832C22semidirect
80. #14582832C22semidirect
81. #14582832C22semidirect
82. #14582831C22semidirect
83. #14582831C22semidirect
84. #14582830C22semidirect
85. #14582830C22semidirect
86. #14582829C22semidirect
87. #14582829C22semidirect
109. #14582798C22semidirect
110. #14582797C22semidirect
111. #14582796C22semidirect
112. #14582796C22semidirect
113. #14582795C22semidirect
114. #14582794C22semidirect
115. #14582794C22semidirect
137. #14582786C22semidirect
138. #14582786C22semidirect
139. #14582785C22semidirect
140. #14582785C22semidirect
141. #14582784C22semidirect
142. #14582784C22semidirect
143. #14582783C22semidirect
144. #14582783C22semidirect
145. #14582782C22semidirect
146. #14582782C22semidirect
147. #14582781C22semidirect
148. #14582781C22semidirect
149. #14582780C22semidirect
150. #14582780C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4×Dic43⋊C4C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. C4×C4⋊Dic43C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
172. C43×#400C22semidirect
173. C43×#400C22semidirect
175. C43×#398C22semidirect
176. C43×#398C22semidirect
180. C43×#389C22semidirect
184. C43×#387C22semidirect
185. C43×#387C22semidirect
186. C4×C4⋊C4×C43C22semidirect
727. #2654D43direct (N × H)
752. D43#2654direct (N × H)
788. #400C2×D43semidirect
789. #400C2×D43semidirect
812. #398C2×D43semidirect
813. #398C2×D43semidirect
845. #389C2×D43semidirect
884. #387C2×D43semidirect
885. #387C2×D43semidirect
893. C4×C4⋊C4C2×D43semidirect
908. C43C2×#2654semidirect

Maximal subgroups

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

subgroupindex
#191406802
#191406792
#191406782
#191406772
#191406762
#191406752
#191406742
#191406732
#191406722
#191406712
#191406702
#191406692
#191406682
#191406672
#191406662
#400×D432
#399×D432
#398×D432
#397×D432
#396×D432
#389×D432
#388×D432
#387×D432
C4×C4⋊C4×D432
C43×#26542
C2×#265443