Finite Group Databasebeta

← #25305380

Subgroups — #25305380

Order 11008.

1548 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142936C211yesmaximal, characteristic, complemented
2#19142909C211yesmaximal, characteristic, complemented
3#19142211C211yesmaximal, characteristic
4#19142105C211yesmaximal, characteristic, complemented
5#19142095C211yesmaximal, characteristic, complemented
6#19142080C211yesmaximal, characteristic, complemented
7#19142017C211yesmaximal, characteristic, complemented
8#19142002C211yesmaximal, characteristic, complemented
9#19141941C211yesmaximal, characteristic, complemented
10#19141838C211yesmaximal, characteristic, complemented
11#19141823C211yesmaximal, characteristic
12#19141787C211yesmaximal, characteristic, complemented
13#19141728C211yesmaximal, characteristic, complemented
14#19141708C211yesmaximal, characteristic, complemented
15#19141564C211yesmaximal, characteristic, complemented
16#19141230C211yesmaximal, characteristic, complemented
17#19141096C211yesmaximal, characteristic, complemented
18#19141044C211yesmaximal, characteristic, complemented
19#19140688C211yesmaximal, characteristic, complemented
20#19140675C211yesmaximal, characteristic, complemented
21#19140180C211yesmaximal, characteristic
22#19140118C211yesmaximal, characteristic, complemented
23#19140016C211yesmaximal, characteristic, complemented
24#19139774C211yesmaximal, characteristic, complemented
25#19139466C211yesmaximal, characteristic, complemented
26#19138268C211yesmaximal, characteristic, complemented
27#19138021C211yesmaximal, characteristic, complemented
28#19137346C211yesmaximal, characteristic, complemented
29#19137225C211yesmaximal, characteristic, complemented
30#19137039C211yesmaximal, characteristic, complemented
31C43×#2532C211yesmaximal, characteristic, complemented
32C2×#13063318C2211yescharacteristic
33C2×#13063303C2211yescharacteristic
34C2×#13063302C2211yescharacteristic
35C2×#13063301C2211yescharacteristic
36C2×#13063301C2211yescharacteristic
37C2×C4×D172C2211yescharacteristic
38C2×(C22⋊D43)⋊C4C2211yescharacteristic
39C2×#13063282C2211yescharacteristic
40C2×C42×D43C2211yescharacteristic
41C43⋊#401C2211yescharacteristic
42#14582841C2211yescharacteristic
43#14582841C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582840C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582840C2211yescharacteristic
51#14582839C2211yescharacteristic
52#14582839C2211yescharacteristic
53#14582839C2211yescharacteristic
54#14582838C2211yescharacteristic
55#14582837C2211yescharacteristic
56#14582835C2211yescharacteristic
57#14582834C2211yescharacteristic
58#14582833C2211yescharacteristic
59#14582833C2211yescharacteristic
60#14582832C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582831C2211yescharacteristic
63#14582831C2211yescharacteristic
64#14582829C2211yescharacteristic
65#14582829C2211yescharacteristic
66#14582828C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582826C2211yescharacteristic
69#14582826C2211yescharacteristic
70#14582826C2211yescharacteristic
71#14582824C2211yescharacteristic
72#14582824C2211yescharacteristic
73#14582823C2211yescharacteristic
74#14582822C2211yescharacteristic
75#14582821C2211yescharacteristic
76#14582820C2211yescharacteristic
77#14582818C2211yescharacteristic
78#14582816C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582814C2211yescharacteristic
81#14582814C2211yescharacteristic
82#14582814C2211yescharacteristic
83#14582812C2211yescharacteristic
84#14582808C2211yescharacteristic
85#14582806C2211yescharacteristic
86#14582805C2211yescharacteristic
87#14582803C2211yescharacteristic
88#14582803C2211yescharacteristic
89#14582799C2211yescharacteristic
90#14582798C2211yescharacteristic
91#14582797C2211yescharacteristic
92#14582797C2211yescharacteristic
93#14582796C2211yescharacteristic
94#14582796C2211yescharacteristic
95#14582796C2211yescharacteristic
96#14582794C2211yescharacteristic
97#14582793C2211yescharacteristic
98#14582793C2211yescharacteristic
99#14582792C2211yescharacteristic
100#14582792C2211yescharacteristic
101#14582791C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582791C2211yescharacteristic
104#14582790C2211yescharacteristic
105#14582790C2211yescharacteristic
106#14582790C2211yescharacteristic
107#14582790C2211yescharacteristic
108#14582789C2211yescharacteristic
109#14582789C2211yescharacteristic
110#14582788C2211yescharacteristic
111#14582786C2211yescharacteristic
112#14582785C2211yescharacteristic
113#14582785C2211yescharacteristic
114#14582785C2211yescharacteristic
115#14582784C2211yescharacteristic
116#14582784C2211yescharacteristic
117#14582784C2211yescharacteristic
118#14582783C2211yescharacteristic
119#14582783C2211yescharacteristic
120#14582783C2211yescharacteristic
121#14582783C2211yescharacteristic
122#14582783C2211yescharacteristic
123#14582783C2211yescharacteristic
124#14582782C2211yescharacteristic
125#14582782C2211yescharacteristic
126#14582782C2211yescharacteristic
127#14582781C2211yescharacteristic
128#14582781C2211yescharacteristic
129#14582781C2211yescharacteristic
130#14582780C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582774C2211yescharacteristic
142#14582773C2211yescharacteristic
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582766C2211yescharacteristic
154#14582766C2211yescharacteristic
155#14582766C2211yescharacteristic
156#14582764C2211yescharacteristic
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582761C2211yescharacteristic
160#14582760C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582757C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167C4×Dic43⋊C4C2211yescharacteristic
168C4×C4⋊Dic43C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170C4×(C2×D43)⋊C4C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#398C2211yescharacteristic
174C43×#397C2211yescharacteristic
175C43×#393C2211yescharacteristic
176C43×#391C2211yescharacteristic
177C43×#391C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#388C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#383C2211yescharacteristic
185C4×C4⋊C4×C43C2211yescharacteristic
186C43×#376C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198#13063318—42no—
199#13063303—24no—
200#13063302—42no—
201#13063301—42no—
202#13063301—42no—
203C4×D172—24no—
204(C22⋊D43)⋊C4—24no—
205#13063282—42no—
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
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
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
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×(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×C4×Dic43C2311yescharacteristic
263C2×C4×Dic43C2311yescharacteristic
264C2×C4×Dic43C2311yescharacteristic
265C2×C4×Dic43C2311yescharacteristic
266C2×C4×Dic43C2311yescharacteristic
267C2×C4×Dic43C2311yescharacteristic
268C2×C4×Dic43C2311yescharacteristic
269C42×D43—42no—
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
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
316C22×Q8×C43C2311yescharacteristic
317C2×C4⋊C4×C43C2311yescharacteristic
318C2×C4⋊C4×C43C2311yescharacteristic
319C2×C4⋊C4×C43C2311yescharacteristic
320C2×C4⋊C4×C43C2311yescharacteristic
321C2×C4⋊C4×C43C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C22⋊C4×C43C2311yescharacteristic
326C2×C22⋊C4×C43C2311yescharacteristic
327C2×C22⋊C4×C43C2311yescharacteristic
328C2×C22⋊C4×C43C2311yescharacteristic
329C2×C22⋊C4×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331C2×C42×C43C2311yescharacteristic
332C2×C42×C43C2311yescharacteristic
333C2×C42×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×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
351C24×C43C2411yescharacteristic
352C23×D43C2411yescharacteristic
353C23×D43C2411yescharacteristic
354C2×Q8×C43—22no—
355C2×Q8×C43—41no—
356C2×Q8×C43—41no—
357C22×C4×C43C2411yescharacteristic
358C22×C4×C43C2411yescharacteristic
359C22×C4×C43C2411yescharacteristic
360C22×C4×C43C2411yescharacteristic
361C22×C4×C43C2411yescharacteristic
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
371C2×C22⋊D43—22no—
372C2×C22⋊D43—22no—
373C2×C22⋊D43—41no—
374C2×C22⋊D43—41no—
375C2×C22⋊D43—41no—
376C2×C22⋊D43—41no—
377C22×Dic43—22no—
378C22×Dic43—41no—
379C22×Dic43—41no—
380C22×Dic43C2411yescharacteristic
381C22×Dic43C2411yescharacteristic
382C22×Dic43C2411yescharacteristic
383C22×Dic43C2411yescharacteristic
384C22×Dic43C2411yescharacteristic
385C22×Dic43C2411yescharacteristic
386C22×Dic43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C22×Dic43C2411yescharacteristic
389C22×Dic43C2411yescharacteristic
390C22×Dic43C2411yescharacteristic
391C22×Dic43C2411yescharacteristic
392C22×Dic43C2411yescharacteristic
393C22×Dic43C2411yescharacteristic
394C2×D172—22no—
395C2×D172—22no—
396C2×D172—41no—
397C2×C4×D43—22no—
398C2×C4×D43—22no—
399C2×C4×D43—22no—
400C2×C4×D43—41no—
401C2×C4×D43—41no—
402C2×C4×D43—41no—
403C2×C4×D43—41no—
404C2×C4×D43—41no—
405C2×C4×D43—41no—
406C2×C4×D43—41no—
407C2×C4×D43—41no—
408C2×C4×D43—41no—
409C2×C4×D43—41no—
410C2×C4×D43—41no—
411C2×C4×D43—41no—
412C2×C4×D43—41no—
413C2×C4×D43—41no—
414C2×C4×D43#4114yes—
415C2×Dic86—22no—
416C2×Dic86—41no—
417C2×Dic86—41no—
418C4⋊C4×C43—22no—
419C4⋊C4×C43—41no—
420C4⋊C4×C43—41no—
421C4⋊C4×C43—41no—
422C4⋊C4×C43—41no—
423C4⋊C4×C43—41no—
424C22⋊C4×C43—22no—
425C22⋊C4×C43—22no—
426C22⋊C4×C43—41no—
427C22⋊C4×C43—41no—
428C22⋊C4×C43—41no—
429C22⋊C4×C43—41no—
430C22⋊C4×C43—41no—
431C42×C43—22no—
432C42×C43—22no—
433C42×C43—41no—
434C42×C43—41no—
435C42×C43—41no—
436C22⋊Dic43—41no—
437C22⋊Dic43—41no—
438C22⋊Dic43—41no—
439C22⋊Dic43—41no—
440C22⋊Dic43—41no—
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—41no—
450(C2×D43)⋊C4—41no—
451(C2×D43)⋊C4—41no—
452(C2×D43)⋊C4—41no—
453(C2×D43)⋊C4—41no—
454(C2×D43)⋊C4—41no—
455(C2×D43)⋊C4—41no—
456(C2×D43)⋊C4—41no—
457(C2×D43)⋊C4—41no—
458(C2×D43)⋊C4—41no—
459(C2×D43)⋊C4—41no—
460(C2×D43)⋊C4—41no—
461C4⋊Dic43—22no—
462C4⋊Dic43—22no—
463C4⋊Dic43—41no—
464C4⋊Dic43—41no—
465C4⋊Dic43—41no—
466C4⋊Dic43—41no—
467C4⋊Dic43—41no—
468C4⋊Dic43—41no—
469C4⋊Dic43—41no—
470C4⋊Dic43—41no—
471C4⋊Dic43—41no—
472Dic43⋊C4—22no—
473Dic43⋊C4—22no—
474Dic43⋊C4—22no—
475Dic43⋊C4—22no—
476Dic43⋊C4—22no—
477Dic43⋊C4—41no—
478Dic43⋊C4—41no—
479Dic43⋊C4—41no—
480Dic43⋊C4—41no—
481Dic43⋊C4—41no—
482Dic43⋊C4—41no—
483Dic43⋊C4—41no—
484Dic43⋊C4—41no—
485Dic43⋊C4—41no—
486Dic43⋊C4—41no—
487Dic43⋊C4—41no—
488Dic43⋊C4—41no—
489Dic43⋊C4—41no—
490Dic43⋊C4—41no—
491Dic43⋊C4—41no—
492C4×Dic43—22no—
493C4×Dic43—22no—
494C4×Dic43—41no—
495C4×Dic43—41no—
496C4×Dic43—41no—
497C4×Dic43—41no—
498C4×Dic43—41no—
499C23×C43—21no—
500C23×C43—21no—
501C23×C43—21no—
502C23×C43—21no—
503C23×C43—21no—
504C23×C43—21no—
505C23×C43—21no—
506C23×C43C2511yescharacteristic
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×D43—21no—
517C22×D43—21no—
518C22×D43—21no—
519C22×D43C2×#4112yes—
520C22×D432−1+412yes—
521Q8×C43—82no—
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×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43C2×#4112yes—
563C2×C4×C43H(5,𝔽2)12yes—
564C22⋊D43—44no—
565C22⋊D43—82no—
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×Dic43—21no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—82no—
608C2×Dic43C2×#4112yes—
609D172—44no—
610C4×D43—44no—
611C4×D43—44no—
612C4×D43—44no—
613C4×D43—44no—
614C4×D43—82no—
615C4×D43—82no—
616Dic86—82no—
617#36790—431nomaximal, Sylow
618C22×C43—41no—
619C22×C43—41no—
620C22×C43—41no—
621C22×C43—41no—
622C22×C43—41no—
623C22×C43—41no—
624C22×C43—41no—
625C22×C43C22×#4111yescharacteristic
626C22×C43C2×H(5,𝔽2)11yescharacteristic
627C22×C43C2×2−1+411yescharacteristic
628C22×C43#58511yescharacteristic
629C22×C43#58511yescharacteristic
630C22×C43#58511yescharacteristic
631C22×C43#58511yescharacteristic
632C2×D43—22no—
633C2×D43—22no—
634C2×D43—22no—
635C2×D43—22no—
636C2×D43—22no—
637C2×D43—22no—
638C2×D43—41no—
639C2×D43—41no—
640C2×D43—41no—
641C2×D43—41no—
642C2×D43—41no—
643C2×D43—41no—
644C2×D43—41no—
645C2×D43—41no—
646C4×C43—22no—
647C4×C43—22no—
648C4×C43—41no—
649C4×C43—41no—
650C4×C43—41no—
651C4×C43—41no—
652C4×C43—41no—
653C4×C43—41no—
654C4×C43—41no—
655C4×C43—41no—
656C4×C43—41no—
657C4×C43—41no—
658C4×C43—41no—
659C4×C43—41no—
660Dic43—22no—
661Dic43—41no—
662Dic43—41no—
663Dic43—41no—
664Dic43—41no—
665Dic43—41no—
666Dic43—41no—
667Dic43—41no—
668Dic43—41no—
669Dic43—41no—
670Dic43—41no—
671Dic43—41no—
672Dic43—41no—
673Dic43—41no—
674#2855—431no—
675#2852—431no—
676#2778—431no—
677#2770—431no—
678#2770—431no—
679#2768—431no—
680#2764—431no—
681#2762—431no—
682#2758—431no—
683#2750—431no—
684#2749—431no—
685#2747—431no—
686#2743—431no—
687#2741—431no—
688#2728—431no—
689#2702—431no—
690#2692—431no—
691#2689—431no—
692#2655—431no—
693#2654—431no—
694#2600—431no—
695#2595—431no—
696#2587—431no—
697#2564—431no—
698#2533—431no—
699#2532D4311yescharacteristic, complemented
700#2438—431no—
701#2415—431no—
702#2332—431no—
703#2318—431no—
704#2290—431no—
705C2×C43—81no—
706C2×C43#345511yescharacteristic
707C2×C43#349511yescharacteristic
708C2×C43#350511yescharacteristic
709C2×C43#353311yescharacteristic
710C2×C43#354111yescharacteristic
711C2×C43#356411yescharacteristic
712C2×C43#356611yescharacteristic
713D43—42no—
714D43—42no—
715C2×#126—431no—
716C2×C22⋊Q8—431no—
717C2×C22⋊Q8—431no—
718C2×C22⋊Q8—431no—
719C2×C22⋊Q8—431no—
720C2×C4×D4—431no—
721C2×C4×D4—431no—
722C2×#117—431no—
723C22×C42—431no—
724#401—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#400—431no—
734#400—431no—
735#400—431no—
736#400—431no—
737#400—431no—
738#400—431no—
739#400C2×D4311yescharacteristic
740#399—431no—
741#399—431no—
742#398—431no—
743#398—431no—
744#398—431no—
745#398—431no—
746#398—431no—
747#398—431no—
748#398—431no—
749#398—431no—
750#398C2×D4311yescharacteristic
751#397—431no—
752#397—431no—
753#397—431no—
754#397—431no—
755#397—431no—
756#397—431no—
757#397—431no—
758#397C2×D4311yescharacteristic
759#396—431no—
760#396—431no—
761#396—431no—
762#395—431no—
763#395—431no—
764#394—431no—
765#394—431no—
766#394—431no—
767#394—431no—
768#394—431no—
769#393—431no—
770#393C2×D4311yescharacteristic
771#392—431no—
772#391—431no—
773#391—431no—
774#391—431no—
775#391—431no—
776#391C2×D4311yescharacteristic
777#391C2×D4311yescharacteristic
778#390—431no—
779#389—431no—
780#389—431no—
781#389—431no—
782#389—431no—
783#389—431no—
784#389—431no—
785#389—431no—
786#388—431no—
787#388—431no—
788#388—431no—
789#388—431no—
790#388—431no—
791#388—431no—
792#388—431no—
793#388—431no—
794#388—431no—
795#388—431no—
796#388—431no—
797#388—431no—
798#388—431no—
799#388—431no—
800#388C2×D4311yescharacteristic
801#388C2×D4311yescharacteristic
802#388C2×D4311yescharacteristic
803#388C2×D4311yescharacteristic
804#388C2×D4311yescharacteristic
805#387—431no—
806#387—431no—
807#387—431no—
808#387—431no—
809#387—431no—
810#387—431no—
811#387—431no—
812#387—431no—
813#387—431no—
814#387—431no—
815#387—431no—
816#387—431no—
817#387—431no—
818#387—431no—
819#387—431no—
820#387—431no—
821#387—431no—
822#387—431no—
823#387—431no—
824#387—431no—
825#387C2×D4311yescharacteristic
826#386—431no—
827#386—431no—
828#386—431no—
829#386—431no—
830#386—431no—
831#386—431no—
832#386—431no—
833#386—431no—
834#386—431no—
835#386—431no—
836#385—431no—
837#385—431no—
838#385—431no—
839#385—431no—
840#385—431no—
841#385—431no—
842#385—431no—
843#385—431no—
844#385—431no—
845#385—431no—
846#385—431no—
847#385—431no—
848#383—431no—
849#383—431no—
850#383—431no—
851#383C2×D4311yescharacteristic
852#382—431no—
853#381—431no—
854#381—431no—
855#381—431no—
856#381—431no—
857#380—431no—
858#380—431no—
859#380—431no—
860#380—431no—
861#380—431no—
862#380—431no—
863C4×C4⋊C4—431no—
864C4×C4⋊C4—431no—
865C4×C4⋊C4C2×D4311yescharacteristic
866C4×C22⋊C4—431no—
867C4×C22⋊C4—431no—
868#376C2×D4311yescharacteristic
869C2×#95—431no—
870C43#3679011yescharacteristic, complemented, Sylow
871C22×Q8—431no—
872C22×Q8C22×D4311yescharacteristic
873C22×D4—431no—
874C22×D4—431no—
875C22×D4—431no—
876C23×C4—431no—
877C23×C4—431no—
878C23×C4—431no—
879C23×C4—431no—
880C23×C4—431no—
881C23×C4—431no—
882C23×C4—431no—
883#126—1722no—
884C22⋊Q8—864no—
885C22⋊Q8—1722no—
886C22⋊Q8—1722no—
887C22⋊Q8—1722no—
888C4×D4—864no—
889C4×D4—864no—
890#117—1722no—
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⋊C4—431no—
911C2×C4⋊C4—431no—
912C2×C4⋊C4—431no—
913C2×C4⋊C4—431no—
914C2×C4⋊C4—431no—
915C2×C4⋊C4—431no—
916C2×C4⋊C4—431no—
917C2×C4⋊C4—431no—
918C2×C4⋊C4—431no—
919C2×C4⋊C4—431no—
920C2×C4⋊C4—431no—
921C2×C4⋊C4—431no—
922C2×C4⋊C4C22×D4311yescharacteristic
923C2×C4⋊C4C22×D4311yescharacteristic
924C2×C4⋊C4C22×D4311yescharacteristic
925C2×C4⋊C4C22×D4311yescharacteristic
926C2×C4⋊C4C22×D4311yescharacteristic
927C2×C4⋊C4C22×D4311yescharacteristic
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×C22⋊C4—431no—
942C2×C22⋊C4—431no—
943C2×C22⋊C4—431no—
944C2×C22⋊C4—431no—
945C2×C22⋊C4—431no—
946C2×C22⋊C4—431no—
947C2×C22⋊C4—431no—
948C2×C22⋊C4—431no—
949C2×C22⋊C4—431no—
950C2×C22⋊C4—431no—
951C2×C22⋊C4—431no—
952C2×C22⋊C4—431no—
953C2×C22⋊C4C22×D4311yescharacteristic
954C2×C22⋊C4C22×D4311yescharacteristic
955C2×C22⋊C4C22×D4311yescharacteristic
956C2×C22⋊C4C22×D4311yescharacteristic
957C2×C22⋊C4C22×D4311yescharacteristic
958C2×C22⋊C4C22×D4311yescharacteristic
959C2×C22⋊C4C22×D4311yescharacteristic
960C2×C42—431no—
961C2×C42—431no—
962C2×C42—431no—
963C2×C42—431no—
964C2×C42—431no—
965C2×C42—431no—
966C2×C42—431no—
967C2×C42—1722no—
968C2×C42C22×D4311yescharacteristic
969C2×C42C22×D4311yescharacteristic
970C2×C42C22×D4311yescharacteristic
971C2×C42C22×D4311yescharacteristic
972C2×C42C22×D4311yescharacteristic
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#95—431no—
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
1032#95C22×D4311yescharacteristic
1033#95C22×D4311yescharacteristic
1034#95C22×D4311yescharacteristic
1035C24—431no—
1036C24—431no—
1037C24C23×D4311yescharacteristic
1038C2×Q8—22no—
1039C2×Q8—41no—
1040C2×Q8—41no—
1041C2×Q8—862no—
1042C2×Q8—1721no—
1043C2×Q8—1721no—
1044C2×D4—862no—
1045C2×D4—862no—
1046C2×D4—862no—
1047C2×D4—862no—
1048C2×D4—1721no—
1049C2×D4—1721no—
1050C2×D4—1721no—
1051C2×D4—1721no—
1052C2×D4—1721no—
1053C22×C4—431no—
1054C22×C4—434no—
1055C22×C4—431no—
1056C22×C4—431no—
1057C22×C4—431no—
1058C22×C4—431no—
1059C22×C4—431no—
1060C22×C4—431no—
1061C22×C4—431no—
1062C22×C4—431no—
1063C22×C4—431no—
1064C22×C4—431no—
1065C22×C4—431no—
1066C22×C4—431no—
1067C22×C4—431no—
1068C22×C4—862no—
1069C22×C4—862no—
1070C22×C4—862no—
1071C22×C4—862no—
1072C22×C4—1721no—
1073C22×C4—1721no—
1074C22×C4—1721no—
1075C22×C4—1721no—
1076C22×C4—1721no—
1077C22×C4—1721no—
1078C22×C4—1721no—
1079C22×C4—1721no—
1080C22×C4—1721no—
1081C22×C4—1721no—
1082C22×C4—1721no—
1083C22×C4—1721no—
1084C22×C4—1721no—
1085C22×C4—1721no—
1086C22×C4—1721no—
1087C22×C4—1721no—
1088C22×C4C23×D4311yescharacteristic
1089C22×C4C23×D4311yescharacteristic
1090C22×C4C23×D4311yescharacteristic
1091C22×C4C23×D4311yescharacteristic
1092C22×C4C23×D4311yescharacteristic
1093C22×C4C23×D4311yescharacteristic
1094C22×C4C23×D4311yescharacteristic
1095C22×C4C23×D4311yescharacteristic
1096C22×C4C23×D4311yescharacteristic
1097C22×C4C23×D4311yescharacteristic
1098C22×C4C23×D4311yescharacteristic
1099C22×C4C23×D4311yescharacteristic
1100C22×C4C23×D4311yescharacteristic
1101C22×C4C23×D4311yescharacteristic
1102C4⋊C4—22no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—862no—
1109C4⋊C4—862no—
1110C4⋊C4—862no—
1111C4⋊C4—862no—
1112C4⋊C4—862no—
1113C4⋊C4—862no—
1114C4⋊C4—862no—
1115C4⋊C4—1721no—
1116C4⋊C4—1721no—
1117C4⋊C4—1721no—
1118C4⋊C4—1721no—
1119C4⋊C4—1721no—
1120C4⋊C4—1721no—
1121C4⋊C4—1721no—
1122C4⋊C4—1721no—
1123C4⋊C4—1721no—
1124C4⋊C4—1721no—
1125C4⋊C4—1721no—
1126C4⋊C4—1721no—
1127C4⋊C4—1721no—
1128C4⋊C4—1721no—
1129C4⋊C4—1721no—
1130C4⋊C4—1721no—
1131C4⋊C4—1721no—
1132C4⋊C4—1721no—
1133C4⋊C4—1721no—
1134C4⋊C4—1721no—
1135C4⋊C4—1721no—
1136C4⋊C4—1721no—
1137C4⋊C4—1721no—
1138C4⋊C4—1721no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—862no—
1147C22⋊C4—862no—
1148C22⋊C4—862no—
1149C22⋊C4—862no—
1150C22⋊C4—862no—
1151C22⋊C4—862no—
1152C22⋊C4—862no—
1153C22⋊C4—862no—
1154C22⋊C4—1721no—
1155C22⋊C4—1721no—
1156C22⋊C4—1721no—
1157C22⋊C4—1721no—
1158C22⋊C4—1721no—
1159C22⋊C4—1721no—
1160C22⋊C4—1721no—
1161C22⋊C4—1721no—
1162C22⋊C4—1721no—
1163C22⋊C4—1721no—
1164C22⋊C4—1721no—
1165C22⋊C4—1721no—
1166C22⋊C4—1721no—
1167C22⋊C4—1721no—
1168C22⋊C4—1721no—
1169C22⋊C4—1721no—
1170C22⋊C4—1721no—
1171C42—22no—
1172C42—22no—
1173C42—41no—
1174C42—41no—
1175C42—41no—
1176C42—862no—
1177C42—862no—
1178C42—1721no—
1179C42—1721no—
1180C42—1721no—
1181C42—1721no—
1182C42—1721no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—432no—
1191C23—432no—
1192C23—861no—
1193C23—861no—
1194C23—861no—
1195C23—861no—
1196C23—861no—
1197C23—861no—
1198C23—861no—
1199C23—861no—
1200C23—861no—
1201C23—861no—
1202C23—861no—
1203C23—861no—
1204C23C24×D4311yescharacteristic
1205Q8—82no—
1206Q8—3442no—
1207D4—3442no—
1208D4—1724no—
1209D4—1724no—
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—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—432no—
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—861no—
1278C2×C4—861no—
1279C2×C4—861no—
1280C2×C4—861no—
1281C2×C4—861no—
1282C2×C4—861no—
1283C2×C4—861no—
1284C2×C4—861no—
1285C2×C4—861no—
1286C2×C4—861no—
1287C2×C4—861no—
1288C2×C4—861no—
1289C2×C4—861no—
1290C2×C4—861no—
1291C2×C4—861no—
1292C2×C4—3442no—
1293C2×C4—3442no—
1294C2×C4—3442no—
1295C2×C4—1724no—
1296C2×C4—1724no—
1297C2×C4—1724no—
1298C2×C4—1724no—
1299C2×C4#41×D4312yes—
1300C2×C4#1306337112yes—
1301C22—41no—
1302C22—41no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—41no—
1308C22—862no—
1309C22—862no—
1310C22—862no—
1311C22—862no—
1312C22—862no—
1313C22—862no—
1314C22—1721no—
1315C22—1721no—
1316C22—1721no—
1317C22—1721no—
1318C22—1721no—
1319C22—1721no—
1320C22—1721no—
1321C22—1721no—
1322C22C2×#41×D4311yescharacteristic
1323C22C2×#1306337111yescharacteristic
1324C222−1+4×D4311yescharacteristic
1325C22#1458373411yescharacteristic
1326C22#1458373511yescharacteristic
1327C22#1458373511yescharacteristic
1328C22#1458373511yescharacteristic
1329C4—22no—
1330C4—22no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—862no—
1344C4—1721no—
1345C4—1721no—
1346C4—1721no—
1347C4—1721no—
1348C4—1721no—
1349C4—1721no—
1350C4—1721no—
1351C4—1721no—
1352C4—1721no—
1353C4—1721no—
1354C4—1721no—
1355C4—1721no—
1356C4—1721no—
1357C2—81no—
1358C2—1722no—
1359C2—1722no—
1360C2#1914797811yescharacteristic
1361C2#1914834511yescharacteristic
1362C2#1914843011yescharacteristic
1363C2#1914876711yescharacteristic
1364C2#1914889511yescharacteristic
1365C2#1914920611yescharacteristic
1366C2#1914924911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2532C2
prime radical#14582808C22
hypercenter#2532D43
hypocenterC43#36790
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2532

Complements

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

NH ≅ G/Ntype
1. #19142936C2semidirect
2. #19142909C2semidirect
4. #19142105C2semidirect
5. #19142095C2semidirect
6. #19142080C2semidirect
7. #19142017C2semidirect
8. #19142002C2semidirect
9. #19141941C2semidirect
10. #19141838C2semidirect
12. #19141787C2semidirect
13. #19141728C2semidirect
14. #19141708C2semidirect
15. #19141564C2semidirect
16. #19141230C2semidirect
17. #19141096C2semidirect
18. #19141044C2semidirect
19. #19140688C2semidirect
20. #19140675C2semidirect
22. #19140118C2semidirect
23. #19140016C2semidirect
24. #19139774C2semidirect
25. #19139466C2semidirect
26. #19138268C2semidirect
27. #19138021C2semidirect
28. #19137346C2semidirect
29. #19137225C2semidirect
30. #19137039C2semidirect
31. C43×#2532C2semidirect
699. #2532D43semidirect
870. C43#36790semidirect

Maximal subgroups

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

subgroupindex
#191429362
#191429092
#191422112
#191421052
#191420952
#191420802
#191420172
#191420022
#191419412
#191418382
#191418232
#191417872
#191417282
#191417082
#191415642
#191412302
#191410962
#191410442
#191406882
#191406752
#191401802
#191401182
#191400162
#191397742
#191394662
#191382682
#191380212
#191373462
#191372252
#191370392
C43×#25322
#3679043