Finite Group Databasebeta

← #25266338

Subgroups — #25266338

Order 11008.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19139477C211yesmaximal, characteristic, complemented
2#19139469C211yesmaximal, characteristic, complemented
3#19139389C211yesmaximal, characteristic, complemented
4#19139381C211yesmaximal, characteristic, complemented
5#19139329C211yesmaximal, characteristic, complemented
6#19139325C211yesmaximal, characteristic, complemented
7#19139200C211yesmaximal, characteristic, complemented
8#19139141C211yesmaximal, characteristic, complemented
9#19139046C211yesmaximal, characteristic, complemented
10#19139016C211yesmaximal, characteristic, complemented
11#19138968C211yesmaximal, characteristic, complemented
12#19138891C211yesmaximal, characteristic
13#19138637C211yesmaximal, characteristic
14#19138635C211yesmaximal, characteristic
15#19138283C211yesmaximal, characteristic, complemented
16#19138023C211yesmaximal, characteristic
17#19137896C211yesmaximal, characteristic, complemented
18#19137893C211yesmaximal, characteristic, complemented
19#19137881C211yesmaximal, characteristic
20#19137878C211yesmaximal, characteristic
21C4×#13063323C211yesmaximal, characteristic, complemented
22C4×#13063320C211yesmaximal, characteristic, complemented
23C4×#13063319C211yesmaximal, characteristic, complemented
24C4×#13063303C211yesmaximal, characteristic, complemented
25C4×#13063303C211yesmaximal, characteristic, complemented
26#19137071C211yesmaximal, characteristic, complemented
27#19137067C211yesmaximal, characteristic, complemented
28#19136987C211yesmaximal, characteristic, complemented
29C4×#13063287C211yesmaximal, characteristic
30C4×#13063282C211yesmaximal, characteristic, complemented
31C43×#2295C211yesmaximal, characteristic, complemented
32C2×#13063323C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063319C2211yescharacteristic
35C2×#13063303C2211yescharacteristic
36C2×#13063303C2211yescharacteristic
37C2×C4×Dic86C2211yescharacteristic
38C2×C4×Dic86C2211yescharacteristic
39C2×C4×D172C2211yescharacteristic
40C2×#13063287C2211yescharacteristic
41C2×#13063287C2211yescharacteristic
42C2×#13063282C2211yescharacteristic
43C2×#13063282C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C2×C42×D43C2211yescharacteristic
46C43⋊#401C2211yescharacteristic
47C43⋊#401C2211yescharacteristic
48#14582841C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582840C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582839C2211yescharacteristic
53#14582839C2211yescharacteristic
54#14582838C2211yescharacteristic
55#14582838C2211yescharacteristic
56#14582838C2211yescharacteristic
57#14582837C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582826C2211yescharacteristic
63#14582826C2211yescharacteristic
64#14582826C2211yescharacteristic
65#14582825C2211yescharacteristic
66#14582825C2211yescharacteristic
67#14582825C2211yescharacteristic
68#14582823C2211yescharacteristic
69#14582821C2211yescharacteristic
70#14582817C2211yescharacteristic
71#14582817C2211yescharacteristic
72#14582816C2211yescharacteristic
73#14582816C2211yescharacteristic
74#14582812C2211yescharacteristic
75#14582812C2211yescharacteristic
76#14582810C2211yescharacteristic
77#14582810C2211yescharacteristic
78#14582806C2211yescharacteristic
79#14582804C2211yescharacteristic
80#14582803C2211yescharacteristic
81#14582803C2211yescharacteristic
82#14582803C2211yescharacteristic
83#14582803C2211yescharacteristic
84#14582803C2211yescharacteristic
85#14582803C2211yescharacteristic
86#14582796C2211yescharacteristic
87#14582796C2211yescharacteristic
88#14582794C2211yescharacteristic
89#14582794C2211yescharacteristic
90#14582794C2211yescharacteristic
91#14582794C2211yescharacteristic
92#14582794C2211yescharacteristic
93#14582794C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582794C2211yescharacteristic
96#14582791C2211yescharacteristic
97#14582790C2211yescharacteristic
98#14582790C2211yescharacteristic
99#14582790C2211yescharacteristic
100#14582789C2211yescharacteristic
101#14582788C2211yescharacteristic
102#14582786C2211yescharacteristic
103#14582786C2211yescharacteristic
104#14582785C2211yescharacteristic
105#14582785C2211yescharacteristic
106#14582785C2211yescharacteristic
107#14582784C2211yescharacteristic
108#14582784C2211yescharacteristic
109#14582783C2211yescharacteristic
110#14582783C2211yescharacteristic
111#14582783C2211yescharacteristic
112#14582782C2211yescharacteristic
113#14582782C2211yescharacteristic
114#14582782C2211yescharacteristic
115#14582781C2211yescharacteristic
116#14582781C2211yescharacteristic
117#14582780C2211yescharacteristic
118#14582780C2211yescharacteristic
119#14582780C2211yescharacteristic
120#14582773C2211yescharacteristic
121#14582773C2211yescharacteristic
122#14582770C2211yescharacteristic
123#14582770C2211yescharacteristic
124#14582768C2211yescharacteristic
125#14582767C2211yescharacteristic
126#14582766C2211yescharacteristic
127#14582766C2211yescharacteristic
128#14582766C2211yescharacteristic
129#14582763C2211yescharacteristic
130#14582763C2211yescharacteristic
131#14582761C2211yescharacteristic
132#14582761C2211yescharacteristic
133#14582758C2211yescharacteristic
134#14582758C2211yescharacteristic
135#14582758C2211yescharacteristic
136#14582758C2211yescharacteristic
137C4⋊C4×Dic43C2211yescharacteristic
138C4⋊C4×Dic43C2211yescharacteristic
139C4×Dic43⋊C4C2211yescharacteristic
140C4×Dic43⋊C4C2211yescharacteristic
141C4×Dic43⋊C4C2211yescharacteristic
142C4×Dic43⋊C4C2211yescharacteristic
143C4×Dic43⋊C4C2211yescharacteristic
144C4×Dic43⋊C4C2211yescharacteristic
145C4×Dic43⋊C4C2211yescharacteristic
146C4×Dic43⋊C4C2211yescharacteristic
147C4×Dic43⋊C4C2211yescharacteristic
148C4×Dic43⋊C4C2211yescharacteristic
149C4×C4⋊Dic43C2211yescharacteristic
150C4×(C2×D43)⋊C4C2211yescharacteristic
151C4×(C2×D43)⋊C4C2211yescharacteristic
152C4×(C2×D43)⋊C4C2211yescharacteristic
153C4×(C2×D43)⋊C4C2211yescharacteristic
154C4×(C2×D43)⋊C4C2211yescharacteristic
155C4×(C2×D43)⋊C4C2211yescharacteristic
156C4×(C2×D43)⋊C4C2211yescharacteristic
157C4×(C2×D43)⋊C4C2211yescharacteristic
158C4×(C2×D43)⋊C4C2211yescharacteristic
159C4×(C2×D43)⋊C4C2211yescharacteristic
160C4×(C2×D43)⋊C4C2211yescharacteristic
161C4×(C2×D43)⋊C4C2211yescharacteristic
162#14582746C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582745C2211yescharacteristic
167#14582745C2211yescharacteristic
168#14582745C2211yescharacteristic
169#14582745C2211yescharacteristic
170C42×Dic43C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C2×C4×Q8×C43C2211yescharacteristic
173C43×#391C2211yescharacteristic
174C43×#391C2211yescharacteristic
175C43×#389C2211yescharacteristic
176C43×#389C2211yescharacteristic
177C43×#387C2211yescharacteristic
178C43×#387C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C4×C4⋊C4×C43C2211yescharacteristic
182C4×C4⋊C4×C43C2211yescharacteristic
183C4×C4⋊C4×C43C2211yescharacteristic
184C43×#376C2211yescharacteristic
185C43×#376C2211yescharacteristic
186C43×C43C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C4×D43C2311yescharacteristic
191C22×C4×D43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196#13063323—24no—
197#13063320—24no—
198#13063319—24no—
199#13063303—24no—
200#13063303—24no—
201C4×Dic86—24no—
202C4×Dic86—24no—
203C4×D172—24no—
204#13063287—24no—
205#13063287—24no—
206#13063282—24no—
207#13063282—24no—
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×(C2×D43)⋊C4C2311yescharacteristic
234C2×(C2×D43)⋊C4C2311yescharacteristic
235C2×(C2×D43)⋊C4C2311yescharacteristic
236C2×(C2×D43)⋊C4C2311yescharacteristic
237C2×(C2×D43)⋊C4C2311yescharacteristic
238C2×(C2×D43)⋊C4C2311yescharacteristic
239C2×(C2×D43)⋊C4C2311yescharacteristic
240C2×(C2×D43)⋊C4C2311yescharacteristic
241C2×(C2×D43)⋊C4C2311yescharacteristic
242C2×(C2×D43)⋊C4C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
256C2×C4×Dic43C2311yescharacteristic
257C2×C4×Dic43C2311yescharacteristic
258C2×C4×Dic43C2311yescharacteristic
259C2×C4×Dic43C2311yescharacteristic
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
272C2×C4×Dic43C2311yescharacteristic
273C42×D43—24no—
274C42×D43—24no—
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
320C43⋊#95C2311yescharacteristic
321C22×Q8×C43C2311yescharacteristic
322C4×Q8×C43—24no—
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C4⋊C4×C43C2311yescharacteristic
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×C42×C43C2311yescharacteristic
333C2×C42×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335C2×C42×C43C2311yescharacteristic
336C2×C42×C43C2311yescharacteristic
337C2×C42×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342C2×C42×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×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
357C23×D43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C2×Q8×C43—22no—
360C2×Q8×C43—22no—
361C2×Q8×C43—41no—
362C22×C4×C43C2411yescharacteristic
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C22×Dic43C2411yescharacteristic
378C22×Dic43C2411yescharacteristic
379C22×Dic43C2411yescharacteristic
380C22×Dic43C2411yescharacteristic
381C22×Dic43C2411yescharacteristic
382C22×Dic43C2411yescharacteristic
383C22×Dic43C2411yescharacteristic
384C22×Dic43C2411yescharacteristic
385C22×Dic43C2411yescharacteristic
386C22×Dic43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C22×Dic43C2411yescharacteristic
389C22×Dic43C2411yescharacteristic
390C22×Dic43C2411yescharacteristic
391C2×D172—22no—
392C2×D172—22no—
393C2×D172—22no—
394C2×C4×D43—22no—
395C2×C4×D43—22no—
396C2×C4×D43—22no—
397C2×C4×D43—22no—
398C2×C4×D43—22no—
399C2×C4×D43—22no—
400C2×C4×D43—22no—
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—41no—
410C2×C4×D43—41no—
411C2×C4×D43#4114yes—
412C2×Dic86—22no—
413C2×Dic86—22no—
414C2×Dic86—22no—
415C2×Dic86—22no—
416C2×Dic86—22no—
417C2×Dic86—41no—
418C4⋊C4×C43—22no—
419C4⋊C4×C43—22no—
420C4⋊C4×C43—22no—
421C4⋊C4×C43—22no—
422C4⋊C4×C43—22no—
423C4⋊C4×C43—22no—
424C4⋊C4×C43—22no—
425C4⋊C4×C43—22no—
426C4⋊C4×C43—41no—
427C42×C43—22no—
428C42×C43—22no—
429C42×C43—22no—
430C42×C43—22no—
431C42×C43—22no—
432C42×C43—22no—
433C42×C43—22no—
434C42×C43—22no—
435C42×C43—22no—
436C42×C43—41no—
437C42×C43#4114yes—
438(C2×D43)⋊C4—22no—
439(C2×D43)⋊C4—22no—
440(C2×D43)⋊C4—22no—
441(C2×D43)⋊C4—22no—
442(C2×D43)⋊C4—22no—
443(C2×D43)⋊C4—22no—
444(C2×D43)⋊C4—22no—
445(C2×D43)⋊C4—22no—
446(C2×D43)⋊C4—22no—
447(C2×D43)⋊C4—22no—
448(C2×D43)⋊C4—22no—
449(C2×D43)⋊C4—22no—
450(C2×D43)⋊C4—22no—
451(C2×D43)⋊C4—22no—
452(C2×D43)⋊C4—22no—
453(C2×D43)⋊C4—22no—
454(C2×D43)⋊C4—22no—
455(C2×D43)⋊C4—41no—
456(C2×D43)⋊C4—41no—
457(C2×D43)⋊C4—41no—
458(C2×D43)⋊C4—41no—
459(C2×D43)⋊C4#4114yes—
460C4⋊Dic43—22no—
461C4⋊Dic43—22no—
462C4⋊Dic43—22no—
463C4⋊Dic43—22no—
464C4⋊Dic43—41no—
465Dic43⋊C4—22no—
466Dic43⋊C4—22no—
467Dic43⋊C4—22no—
468Dic43⋊C4—22no—
469Dic43⋊C4—22no—
470Dic43⋊C4—22no—
471Dic43⋊C4—22no—
472Dic43⋊C4—22no—
473Dic43⋊C4—22no—
474Dic43⋊C4—22no—
475Dic43⋊C4—22no—
476Dic43⋊C4—22no—
477Dic43⋊C4—22no—
478Dic43⋊C4—22no—
479Dic43⋊C4—22no—
480Dic43⋊C4—22no—
481Dic43⋊C4—22no—
482Dic43⋊C4—41no—
483Dic43⋊C4—41no—
484Dic43⋊C4#4114yes—
485C4×Dic43—22no—
486C4×Dic43—22no—
487C4×Dic43—22no—
488C4×Dic43—22no—
489C4×Dic43—22no—
490C4×Dic43—22no—
491C4×Dic43—22no—
492C4×Dic43—22no—
493C4×Dic43—22no—
494C4×Dic43—22no—
495C4×Dic43—22no—
496C4×Dic43—22no—
497C4×Dic43—22no—
498C4×Dic43—22no—
499C4×Dic43—22no—
500C4×Dic43—41no—
501C4×Dic43—41no—
502C4×Dic43#4114yes—
503C23×C43C2511yescharacteristic
504C22×D43—21no—
505C22×D43—21no—
506C22×D43—21no—
507C22×D43—21no—
508C22×D43—21no—
509C22×D43—21no—
510C22×D43—21no—
511C22×D43—21no—
512C22×D43—21no—
513C22×D43—21no—
514C22×D43—21no—
515C22×D43—21no—
516C22×D43C2×#4112yes—
517C22×D43C2×#4112yes—
518Q8×C43—44no—
519C2×C4×C43—21no—
520C2×C4×C43—21no—
521C2×C4×C43—21no—
522C2×C4×C43—21no—
523C2×C4×C43—21no—
524C2×C4×C43—21no—
525C2×C4×C43—21no—
526C2×C4×C43—21no—
527C2×C4×C43—21no—
528C2×C4×C43—21no—
529C2×C4×C43—21no—
530C2×C4×C43—21no—
531C2×C4×C43—21no—
532C2×C4×C43—21no—
533C2×C4×C43—21no—
534C2×C4×C43—21no—
535C2×C4×C43—21no—
536C2×C4×C43—21no—
537C2×C4×C43—21no—
538C2×C4×C43—21no—
539C2×C4×C43—21no—
540C2×C4×C43—21no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43—21no—
544C2×C4×C43—21no—
545C2×C4×C43—21no—
546C2×C4×C43—21no—
547C2×C4×C43—21no—
548C2×C4×C43—21no—
549C2×C4×C43—21no—
550C2×C4×C43—21no—
551C2×C4×C43—21no—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43C2×#4112yes—
557C2×C4×C43C2×#4112yes—
558C2×C4×C43C2×#4112yes—
559C2×C4×C43C2×#4112yes—
560C2×C4×C43C2×#4112yes—
561C2×C4×C43C2×#4112yes—
562C2×C4×C43C2×#4112yes—
563C2×C4×C432−1+412yes—
564C2×Dic43—21no—
565C2×Dic43—21no—
566C2×Dic43—21no—
567C2×Dic43—21no—
568C2×Dic43—21no—
569C2×Dic43—21no—
570C2×Dic43—21no—
571C2×Dic43—21no—
572C2×Dic43—21no—
573C2×Dic43—21no—
574C2×Dic43—21no—
575C2×Dic43—21no—
576C2×Dic43—21no—
577C2×Dic43—21no—
578C2×Dic43—21no—
579C2×Dic43—21no—
580C2×Dic43—21no—
581C2×Dic43—21no—
582C2×Dic43—21no—
583C2×Dic43—21no—
584C2×Dic43—21no—
585C2×Dic43—21no—
586C2×Dic43—21no—
587C2×Dic43—21no—
588C2×Dic43—21no—
589C2×Dic43—21no—
590C2×Dic43—21no—
591C2×Dic43—21no—
592C2×Dic43—21no—
593C2×Dic43—21no—
594C2×Dic43—21no—
595C2×Dic43—21no—
596C2×Dic43—21no—
597C2×Dic43—21no—
598C2×Dic43—21no—
599C2×Dic43—21no—
600C2×Dic43C2×#4112yes—
601C2×Dic43C2×#4112yes—
602C2×Dic43C2×#4112yes—
603C2×Dic43C2×#4112yes—
604C2×Dic43C2×#4112yes—
605C2×Dic43C2×#4112yes—
606D172—28no—
607C4×D43—28no—
608C4×D43—44no—
609C4×D43—44no—
610C4×D43—44no—
611C4×D43—44no—
612C4×D43—44no—
613Dic86—44no—
614Dic86—44no—
615#34803—431nomaximal, Sylow
616C22×C43C22×#4111yescharacteristic
617C22×C43C22×#4111yescharacteristic
618C22×C43C22×#4111yescharacteristic
619C22×C43C22×#4111yescharacteristic
620C22×C43C22×#4111yescharacteristic
621C22×C43C2×2−1+411yescharacteristic
622C22×C43#58511yescharacteristic
623C2×D43—22no—
624C2×D43—22no—
625C2×D43—22no—
626C2×D43—22no—
627C2×D43—22no—
628C2×D43—22no—
629C2×D43—41no—
630C2×D43—41no—
631C2×D43—41no—
632C2×D43—41no—
633C2×D43—41no—
634C2×D43—41no—
635C2×D43—41no—
636C2×D43—41no—
637C4×C43—22no—
638C4×C43—22no—
639C4×C43—22no—
640C4×C43—22no—
641C4×C43—22no—
642C4×C43—41no—
643C4×C43—41no—
644C4×C43—41no—
645C4×C43—41no—
646C4×C43—41no—
647C4×C43—41no—
648C4×C43—41no—
649C4×C43—41no—
650C4×C43—41no—
651C4×C43#55614yes—
652Dic43—22no—
653Dic43—22no—
654Dic43—22no—
655Dic43—41no—
656Dic43—41no—
657Dic43—41no—
658Dic43—41no—
659Dic43—41no—
660Dic43—41no—
661Dic43—41no—
662Dic43—41no—
663Dic43—41no—
664Dic43—41no—
665Dic43#52914yes—
666#2533—431no—
667#2533—431no—
668#2527—431no—
669#2527—431no—
670#2523—431no—
671#2523—431no—
672#2514—431no—
673#2509—431no—
674#2499—431no—
675#2496—431no—
676#2492—431no—
677#2485—431no—
678#2466—431no—
679#2466—431no—
680#2439—431no—
681#2415—431no—
682#2401—431no—
683#2401—431no—
684#2398—431no—
685#2398—431no—
686C4×C4⋊Q8—431no—
687C4×#126—431no—
688C4×#126—431no—
689C4×C22⋊Q8—431no—
690C4×C22⋊Q8—431no—
691#2295—431no—
692#2295—431no—
693#2295D4311yescharacteristic, complemented
694#2283—431no—
695C42×D4—431no—
696C4×#117—431no—
697C2×C43C2×#52911yescharacteristic
698C2×C43#344411yescharacteristic
699C2×C43#346111yescharacteristic
700C2×C43C2×#55611yescharacteristic
701C2×C43#347511yescharacteristic
702C2×C43#347511yescharacteristic
703C2×C43#348211yescharacteristic
704D43—42no—
705D43—42no—
706C2×C4⋊Q8—431no—
707C2×#126—431no—
708C2×#126—431no—
709C2×C22⋊Q8—431no—
710C2×C22⋊Q8—431no—
711C2×C4×Q8—431no—
712C2×C4×Q8—431no—
713C2×C4×Q8C2×D4311yescharacteristic
714C2×C4×D4—431no—
715C2×C4×D4—431no—
716C2×C4×D4—431no—
717C2×#117—431no—
718C2×#117—431no—
719C22×C42—431no—
720C22×C42—431no—
721#401—431no—
722#401—431no—
723#400—431no—
724#400—431no—
725#400—431no—
726#400—431no—
727#400—431no—
728#400—431no—
729#400—431no—
730#400—431no—
731#400—431no—
732#400—431no—
733#397—431no—
734#397—431no—
735#397—431no—
736#397—431no—
737#397—431no—
738#397—431no—
739#397—431no—
740#397—431no—
741#397—431no—
742#397—431no—
743#396—431no—
744#396—431no—
745#394—431no—
746#394—431no—
747#394—431no—
748#394—431no—
749#393—431no—
750#393—431no—
751#393—431no—
752#393—431no—
753#391—431no—
754#391—431no—
755#391—431no—
756#391—431no—
757#391—431no—
758#391—431no—
759#391—431no—
760#391—431no—
761#391C2×D4311yescharacteristic
762#391C2×D4311yescharacteristic
763#389—431no—
764#389—431no—
765#389—431no—
766#389—431no—
767#389—431no—
768#389—431no—
769#389—431no—
770#389—431no—
771#389—431no—
772#389—431no—
773#389C2×D4311yescharacteristic
774#389C2×D4311yescharacteristic
775#388—431no—
776#388—431no—
777#388—431no—
778#388—431no—
779#388—431no—
780#388—431no—
781#387—431no—
782#387—431no—
783#387—431no—
784#387—431no—
785#387—431no—
786#387—431no—
787#387—431no—
788#387—431no—
789#387—431no—
790#387—431no—
791#387—431no—
792#387—431no—
793#387—431no—
794#387—431no—
795#387—431no—
796#387—431no—
797#387—431no—
798#387—431no—
799#387C2×D4311yescharacteristic
800#387C2×D4311yescharacteristic
801#387C2×D4311yescharacteristic
802#387C2×D4311yescharacteristic
803#385—431no—
804#385—431no—
805#385—431no—
806#385—431no—
807#384—431no—
808#383—431no—
809#383—431no—
810#383—431no—
811#383—431no—
812#382—431no—
813#382—431no—
814#381—431no—
815#381—431no—
816#380—431no—
817#380—431no—
818#380—431no—
819#380—431no—
820C4×C4⋊C4—431no—
821C4×C4⋊C4—431no—
822C4×C4⋊C4—431no—
823C4×C4⋊C4—431no—
824C4×C4⋊C4—431no—
825C4×C4⋊C4—431no—
826C4×C4⋊C4—431no—
827C4×C4⋊C4—431no—
828C4×C4⋊C4—431no—
829C4×C4⋊C4—431no—
830C4×C4⋊C4—431no—
831C4×C4⋊C4—431no—
832C4×C4⋊C4—431no—
833C4×C4⋊C4C2×D4311yescharacteristic
834C4×C4⋊C4C2×D4311yescharacteristic
835C4×C4⋊C4C2×D4311yescharacteristic
836C4×C22⋊C4—431no—
837C4×C22⋊C4—431no—
838C4×C22⋊C4—431no—
839C4×C22⋊C4—431no—
840C4×C22⋊C4—431no—
841C4×C22⋊C4—431no—
842C4×C22⋊C4—431no—
843C4×C22⋊C4—431no—
844C4×C22⋊C4—431no—
845C4×C22⋊C4—431no—
846C4×C22⋊C4—431no—
847C4×C22⋊C4—431no—
848C4×C22⋊C4—431no—
849C4×C22⋊C4—431no—
850C4×C22⋊C4—431no—
851C4×C22⋊C4—431no—
852#376—431no—
853#376—431no—
854#376—431no—
855#376—431no—
856#376C2×D4311yescharacteristic
857#376C2×D4311yescharacteristic
858C43—431no—
859C43—431no—
860C43C2×D4311yescharacteristic
861C43#3480311yescharacteristic, complemented, Sylow
862C22×Q8—431no—
863C22×Q8—431no—
864C22×Q8C22×D4311yescharacteristic
865C22×D4—431no—
866C23×C4—431no—
867C23×C4—431no—
868C23×C4—431no—
869C23×C4—431no—
870C23×C4—431no—
871C23×C4—431no—
872C4⋊Q8—864no—
873#126—864no—
874#126—864no—
875C22⋊Q8—864no—
876C22⋊Q8—864no—
877C4×Q8—24no—
878C4×Q8—864no—
879C4×Q8—864no—
880C4×D4—864no—
881C4×D4—864no—
882C4×D4—864no—
883#117—864no—
884#117—864no—
885C2×C4⋊C4—431no—
886C2×C4⋊C4—431no—
887C2×C4⋊C4—431no—
888C2×C4⋊C4—431no—
889C2×C4⋊C4—431no—
890C2×C4⋊C4—431no—
891C2×C4⋊C4—431no—
892C2×C4⋊C4—431no—
893C2×C4⋊C4—431no—
894C2×C4⋊C4—431no—
895C2×C4⋊C4—431no—
896C2×C4⋊C4—431no—
897C2×C4⋊C4—431no—
898C2×C4⋊C4—431no—
899C2×C4⋊C4—431no—
900C2×C4⋊C4—431no—
901C2×C4⋊C4—431no—
902C2×C4⋊C4—431no—
903C2×C4⋊C4—431no—
904C2×C4⋊C4—431no—
905C2×C4⋊C4—431no—
906C2×C4⋊C4—431no—
907C2×C4⋊C4—431no—
908C2×C4⋊C4—431no—
909C2×C4⋊C4—431no—
910C2×C4⋊C4C22×D4311yescharacteristic
911C2×C4⋊C4C22×D4311yescharacteristic
912C2×C4⋊C4C22×D4311yescharacteristic
913C2×C4⋊C4C22×D4311yescharacteristic
914C2×C4⋊C4C22×D4311yescharacteristic
915C2×C4⋊C4C22×D4311yescharacteristic
916C2×C4⋊C4C22×D4311yescharacteristic
917C2×C4⋊C4C22×D4311yescharacteristic
918C2×C4⋊C4C22×D4311yescharacteristic
919C2×C22⋊C4—431no—
920C2×C22⋊C4—431no—
921C2×C22⋊C4—431no—
922C2×C22⋊C4—431no—
923C2×C22⋊C4—431no—
924C2×C22⋊C4—431no—
925C2×C22⋊C4—431no—
926C2×C22⋊C4—431no—
927C2×C22⋊C4—431no—
928C2×C22⋊C4—431no—
929C2×C22⋊C4—431no—
930C2×C22⋊C4—431no—
931C2×C22⋊C4—431no—
932C2×C22⋊C4—431no—
933C2×C22⋊C4—431no—
934C2×C22⋊C4—431no—
935C2×C22⋊C4—431no—
936C2×C22⋊C4—431no—
937C2×C22⋊C4—431no—
938C2×C22⋊C4—431no—
939C2×C22⋊C4—431no—
940C2×C22⋊C4—431no—
941C2×C42—431no—
942C2×C42—431no—
943C2×C42—431no—
944C2×C42—431no—
945C2×C42—431no—
946C2×C42—431no—
947C2×C42—431no—
948C2×C42—431no—
949C2×C42—431no—
950C2×C42—431no—
951C2×C42—431no—
952C2×C42—431no—
953C2×C42—431no—
954C2×C42—431no—
955C2×C42—431no—
956C2×C42—431no—
957C2×C42—431no—
958C2×C42—431no—
959C2×C42—864no—
960C2×C42—864no—
961C2×C42C22×D4311yescharacteristic
962C2×C42C22×D4311yescharacteristic
963C2×C42C22×D4311yescharacteristic
964C2×C42C22×D4311yescharacteristic
965C2×C42C22×D4311yescharacteristic
966C2×C42C22×D4311yescharacteristic
967C2×C42C22×D4311yescharacteristic
968C2×C42C22×D4311yescharacteristic
969C2×C42C22×D4311yescharacteristic
970C2×C42C22×D4311yescharacteristic
971C2×C42C22×D4311yescharacteristic
972#95—431no—
973#95—431no—
974#95—431no—
975#95—431no—
976#95—431no—
977#95—431no—
978#95—431no—
979#95—431no—
980#95—431no—
981#95—431no—
982#95—431no—
983#95—431no—
984#95—431no—
985#95—431no—
986#95—431no—
987#95—431no—
988#95—431no—
989#95—431no—
990#95—431no—
991#95—431no—
992#95—431no—
993#95—431no—
994#95—431no—
995#95—431no—
996#95—431no—
997#95—431no—
998#95—431no—
999#95—431no—
1000#95—431no—
1001#95—431no—
1002#95—431no—
1003#95—431no—
1004#95—431no—
1005#95—431no—
1006#95—431no—
1007#95—431no—
1008#95—431no—
1009#95—431no—
1010#95—431no—
1011#95—431no—
1012#95—431no—
1013#95—431no—
1014#95—431no—
1015#95—431no—
1016#95—431no—
1017#95—431no—
1018#95C22×D4311yescharacteristic
1019#95C22×D4311yescharacteristic
1020#95C22×D4311yescharacteristic
1021#95C22×D4311yescharacteristic
1022#95C22×D4311yescharacteristic
1023#95C22×D4311yescharacteristic
1024#95C22×D4311yescharacteristic
1025#95C22×D4311yescharacteristic
1026#95C22×D4311yescharacteristic
1027#95C22×D4311yescharacteristic
1028#95C22×D4311yescharacteristic
1029#95C22×D4311yescharacteristic
1030#95C22×D4311yescharacteristic
1031#95C22×D4311yescharacteristic
1032C24—431no—
1033C24—431no—
1034C2×Q8—22no—
1035C2×Q8—22no—
1036C2×Q8—41no—
1037C2×Q8—862no—
1038C2×Q8—862no—
1039C2×Q8—862no—
1040C2×Q8—862no—
1041C2×Q8—862no—
1042C2×Q8—1721no—
1043C2×D4—862no—
1044C2×D4—862no—
1045C2×D4—862no—
1046C22×C4—431no—
1047C22×C4—431no—
1048C22×C4—431no—
1049C22×C4—431no—
1050C22×C4—434no—
1051C22×C4—431no—
1052C22×C4—431no—
1053C22×C4—431no—
1054C22×C4—431no—
1055C22×C4—431no—
1056C22×C4—431no—
1057C22×C4—431no—
1058C22×C4—431no—
1059C22×C4—431no—
1060C22×C4—431no—
1061C22×C4—862no—
1062C22×C4—862no—
1063C22×C4—862no—
1064C22×C4—862no—
1065C22×C4—862no—
1066C22×C4—862no—
1067C22×C4—862no—
1068C22×C4—862no—
1069C22×C4—862no—
1070C22×C4—862no—
1071C22×C4—862no—
1072C22×C4—862no—
1073C22×C4—862no—
1074C22×C4—862no—
1075C22×C4—862no—
1076C22×C4—1721no—
1077C22×C4—1721no—
1078C22×C4C23×D4311yescharacteristic
1079C22×C4C23×D4311yescharacteristic
1080C22×C4C23×D4311yescharacteristic
1081C22×C4C23×D4311yescharacteristic
1082C22×C4C23×D4311yescharacteristic
1083C22×C4C23×D4311yescharacteristic
1084C22×C4C23×D4311yescharacteristic
1085C22×C4C23×D4311yescharacteristic
1086C22×C4C23×D4311yescharacteristic
1087C22×C4C23×D4311yescharacteristic
1088C22×C4C23×D4311yescharacteristic
1089C22×C4C23×D4311yescharacteristic
1090C22×C4C23×D4311yescharacteristic
1091C22×C4C23×D4311yescharacteristic
1092C22×C4C23×D4311yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—41no—
1102C4⋊C4—434no—
1103C4⋊C4—862no—
1104C4⋊C4—862no—
1105C4⋊C4—862no—
1106C4⋊C4—862no—
1107C4⋊C4—862no—
1108C4⋊C4—862no—
1109C4⋊C4—862no—
1110C4⋊C4—862no—
1111C4⋊C4—862no—
1112C4⋊C4—862no—
1113C4⋊C4—862no—
1114C4⋊C4—862no—
1115C4⋊C4—862no—
1116C4⋊C4—862no—
1117C4⋊C4—862no—
1118C4⋊C4—862no—
1119C4⋊C4—862no—
1120C4⋊C4—862no—
1121C4⋊C4—862no—
1122C4⋊C4—862no—
1123C4⋊C4—862no—
1124C4⋊C4—1721no—
1125C4⋊C4—1721no—
1126C4⋊C4—1721no—
1127C22⋊C4—434no—
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—1721no—
1146C22⋊C4—1721no—
1147C22⋊C4—1721no—
1148C22⋊C4—1721no—
1149C42—22no—
1150C42—22no—
1151C42—22no—
1152C42—22no—
1153C42—22no—
1154C42—22no—
1155C42—22no—
1156C42—22no—
1157C42—22no—
1158C42—41no—
1159C42—434no—
1160C42—862no—
1161C42—862no—
1162C42—862no—
1163C42—862no—
1164C42—862no—
1165C42—862no—
1166C42—862no—
1167C42—862no—
1168C42—862no—
1169C42—862no—
1170C42—862no—
1171C42—862no—
1172C42—862no—
1173C42—862no—
1174C42—862no—
1175C42—1721no—
1176C42—1721no—
1177C42#1062189814yes—
1178C23—432no—
1179C23—432no—
1180C23—861no—
1181C23—861no—
1182C23—861no—
1183C23—861no—
1184C23—861no—
1185C23—861no—
1186C23—861no—
1187C23—861no—
1188C23—861no—
1189C23—861no—
1190C23—861no—
1191C23—861no—
1192C23C24×D4311yescharacteristic
1193Q8—44no—
1194Q8—1724no—
1195Q8—1724no—
1196D4—868no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—432no—
1235C2×C4—432no—
1236C2×C4—432no—
1237C2×C4—432no—
1238C2×C4—432no—
1239C2×C4—432no—
1240C2×C4—868no—
1241C2×C4—861no—
1242C2×C4—861no—
1243C2×C4—861no—
1244C2×C4—861no—
1245C2×C4—861no—
1246C2×C4—861no—
1247C2×C4—861no—
1248C2×C4—861no—
1249C2×C4—861no—
1250C2×C4—861no—
1251C2×C4—861no—
1252C2×C4—861no—
1253C2×C4—861no—
1254C2×C4—861no—
1255C2×C4—861no—
1256C2×C4—861no—
1257C2×C4—861no—
1258C2×C4—861no—
1259C2×C4—861no—
1260C2×C4—861no—
1261C2×C4—861no—
1262C2×C4—861no—
1263C2×C4—861no—
1264C2×C4—861no—
1265C2×C4—861no—
1266C2×C4—861no—
1267C2×C4—861no—
1268C2×C4—861no—
1269C2×C4—861no—
1270C2×C4—861no—
1271C2×C4—861no—
1272C2×C4—861no—
1273C2×C4—861no—
1274C2×C4—861no—
1275C2×C4—861no—
1276C2×C4—861no—
1277C2×C4—1724no—
1278C2×C4—1724no—
1279C2×C4—1724no—
1280C2×C4—1724no—
1281C2×C4—1724no—
1282C2×C4#41×D4312yes—
1283C2×C4#41×D4312yes—
1284C2×C4#41×D4312yes—
1285C2×C4#41×D4312yes—
1286C2×C4C2×#1062189812yes—
1287C2×C4C2×#1062189812yes—
1288C2×C4C2×#1062189812yes—
1289C2×C4#1306337312yes—
1290C22—862no—
1291C22—862no—
1292C22—862no—
1293C22—862no—
1294C22—862no—
1295C22—862no—
1296C22—1721no—
1297C22—1721no—
1298C22—1721no—
1299C22—1721no—
1300C22—1721no—
1301C22—1721no—
1302C22—1721no—
1303C22—1721no—
1304C22C2×#41×D4311yescharacteristic
1305C22C2×#41×D4311yescharacteristic
1306C22C2×#41×D4311yescharacteristic
1307C22C2×#41×D4311yescharacteristic
1308C22C22×#1062189811yescharacteristic
1309C22C2×#1306337311yescharacteristic
1310C22#1458373511yescharacteristic
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—434no—
1326C4—862no—
1327C4—862no—
1328C4—862no—
1329C4—1721no—
1330C4—1721no—
1331C4—1721no—
1332C4—1721no—
1333C4—1721no—
1334C4—1721no—
1335C4—1721no—
1336C4—1721no—
1337C4—1721no—
1338C4—1721no—
1339C4#1458362114yes—
1340C2—1722no—
1341C2—1722no—
1342C2#529×D4311yescharacteristic
1343C2#1914788811yescharacteristic
1344C2#1914802611yescharacteristic
1345C2C2×#1458362111yescharacteristic
1346C2#1914814711yescharacteristic
1347C2#1914814911yescharacteristic
1348C2#1914821311yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2295C2
prime radicalC22×D172C23
hypercenter#2295D43
hypocenterC43#34803
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2295

Complements

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

NH ≅ G/Ntype
1. #19139477C2semidirect
2. #19139469C2semidirect
3. #19139389C2semidirect
4. #19139381C2semidirect
5. #19139329C2semidirect
6. #19139325C2semidirect
7. #19139200C2semidirect
8. #19139141C2semidirect
9. #19139046C2semidirect
10. #19139016C2semidirect
11. #19138968C2semidirect
15. #19138283C2semidirect
17. #19137896C2semidirect
18. #19137893C2semidirect
21. C4×#13063323C2semidirect
22. C4×#13063320C2semidirect
23. C4×#13063319C2semidirect
24. C4×#13063303C2semidirect
25. C4×#13063303C2semidirect
26. #19137071C2semidirect
27. #19137067C2semidirect
28. #19136987C2semidirect
30. C4×#13063282C2semidirect
31. C43×#2295C2semidirect
693. #2295D43semidirect
861. C43#34803semidirect

Maximal subgroups

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

subgroupindex
#191394772
#191394692
#191393892
#191393812
#191393292
#191393252
#191392002
#191391412
#191390462
#191390162
#191389682
#191388912
#191386372
#191386352
#191382832
#191380232
#191378962
#191378932
#191378812
#191378782
C4×#130633232
C4×#130633202
C4×#130633192
C4×#130633032
#191370712
#191370672
#191369872
C4×#130632872
C4×#130632822
C43×#22952
#3480343