Finite Group Databasebeta

← #25304643

Subgroups — #25304643

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142946C211yesmaximal, characteristic, complemented
2#19142922C211yesmaximal, characteristic, complemented
3#19142524C211yesmaximal, characteristic, complemented
4#19142520C211yesmaximal, characteristic, complemented
5#19142402C211yesmaximal, characteristic, complemented
6#19142280C211yesmaximal, characteristic, complemented
7#19142248C211yesmaximal, characteristic, complemented
8#19141789C211yesmaximal, characteristic, complemented
9#19141709C211yesmaximal, characteristic, complemented
10#19141589C211yesmaximal, characteristic, complemented
11#19141565C211yesmaximal, characteristic, complemented
12#19141507C211yesmaximal, characteristic, complemented
13#19141451C211yesmaximal, characteristic, complemented
14#19141417C211yesmaximal, characteristic, complemented
15#19141244C211yesmaximal, characteristic
16#19141140C211yesmaximal, characteristic, complemented
17#19141070C211yesmaximal, characteristic, complemented
18#19140881C211yesmaximal, characteristic, complemented
19#19140440C211yesmaximal, characteristic, complemented
20#19140438C211yesmaximal, characteristic, complemented
21#19140045C211yesmaximal, characteristic, complemented
22#19140031C211yesmaximal, characteristic, complemented
23#19139741C211yesmaximal, characteristic, complemented
24#19139691C211yesmaximal, characteristic, complemented
25#19139432C211yesmaximal, characteristic, complemented
26#19139419C211yesmaximal, characteristic, complemented
27#19138685C211yesmaximal, characteristic, complemented
28#19137383C211yesmaximal, characteristic, complemented
29#19137379C211yesmaximal, characteristic, complemented
30#19137032C211yesmaximal, characteristic, complemented
31C43×#2479C211yesmaximal, characteristic, complemented
32C2×#13063324C2211yescharacteristic
33C2×#13063318C2211yescharacteristic
34C2×#13063311C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063307C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063306C2211yescharacteristic
39C2×#13063303C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063303C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×C4×C22⋊D43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582840C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582838C2211yescharacteristic
51#14582837C2211yescharacteristic
52#14582835C2211yescharacteristic
53#14582833C2211yescharacteristic
54#14582833C2211yescharacteristic
55#14582832C2211yescharacteristic
56#14582832C2211yescharacteristic
57#14582830C2211yescharacteristic
58#14582829C2211yescharacteristic
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582827C2211yescharacteristic
63#14582827C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582826C2211yescharacteristic
66#14582825C2211yescharacteristic
67#14582824C2211yescharacteristic
68#14582823C2211yescharacteristic
69#14582822C2211yescharacteristic
70#14582822C2211yescharacteristic
71#14582822C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582821C2211yescharacteristic
74#14582819C2211yescharacteristic
75#14582816C2211yescharacteristic
76#14582815C2211yescharacteristic
77#14582814C2211yescharacteristic
78#14582814C2211yescharacteristic
79#14582814C2211yescharacteristic
80#14582814C2211yescharacteristic
81#14582814C2211yescharacteristic
82#14582813C2211yescharacteristic
83#14582811C2211yescharacteristic
84#14582811C2211yescharacteristic
85#14582811C2211yescharacteristic
86#14582808C2211yescharacteristic
87#14582807C2211yescharacteristic
88#14582807C2211yescharacteristic
89#14582805C2211yescharacteristic
90#14582804C2211yescharacteristic
91#14582803C2211yescharacteristic
92#14582803C2211yescharacteristic
93#14582801C2211yescharacteristic
94#14582799C2211yescharacteristic
95#14582799C2211yescharacteristic
96#14582799C2211yescharacteristic
97#14582797C2211yescharacteristic
98#14582796C2211yescharacteristic
99#14582796C2211yescharacteristic
100#14582795C2211yescharacteristic
101#14582794C2211yescharacteristic
102#14582794C2211yescharacteristic
103#14582794C2211yescharacteristic
104#14582794C2211yescharacteristic
105#14582793C2211yescharacteristic
106#14582792C2211yescharacteristic
107#14582791C2211yescharacteristic
108#14582791C2211yescharacteristic
109#14582790C2211yescharacteristic
110#14582790C2211yescharacteristic
111#14582790C2211yescharacteristic
112#14582789C2211yescharacteristic
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic
115#14582789C2211yescharacteristic
116#14582788C2211yescharacteristic
117#14582788C2211yescharacteristic
118#14582787C2211yescharacteristic
119#14582787C2211yescharacteristic
120#14582787C2211yescharacteristic
121#14582787C2211yescharacteristic
122#14582787C2211yescharacteristic
123#14582787C2211yescharacteristic
124#14582785C2211yescharacteristic
125#14582785C2211yescharacteristic
126#14582784C2211yescharacteristic
127#14582784C2211yescharacteristic
128#14582784C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582783C2211yescharacteristic
131#14582783C2211yescharacteristic
132#14582783C2211yescharacteristic
133#14582783C2211yescharacteristic
134#14582782C2211yescharacteristic
135#14582781C2211yescharacteristic
136#14582781C2211yescharacteristic
137#14582780C2211yescharacteristic
138#14582780C2211yescharacteristic
139#14582780C2211yescharacteristic
140#14582780C2211yescharacteristic
141#14582778C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582776C2211yescharacteristic
145#14582776C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582774C2211yescharacteristic
151#14582772C2211yescharacteristic
152#14582771C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582768C2211yescharacteristic
158#14582764C2211yescharacteristic
159#14582758C2211yescharacteristic
160#14582758C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582757C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165C4×Dic43⋊C4C2211yescharacteristic
166#14582750C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170C4×C22⋊Dic43C2211yescharacteristic
171#14582745C2211yescharacteristic
172C2×#126×C43C2211yescharacteristic
173C2×#117×C43C2211yescharacteristic
174C43×#399C2211yescharacteristic
175C43×#399C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#394C2211yescharacteristic
178C43×#390C2211yescharacteristic
179C43×#389C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C4×C4⋊C4×C43C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199#13063324—42no—
200#13063318—42no—
201#13063311—42no—
202#13063310—24no—
203#13063307—24no—
204#13063307—42no—
205#13063306—42no—
206#13063303—42no—
207#13063303—42no—
208#13063303—42no—
209#13063298—42no—
210C4×C22⋊D43—24no—
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×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C42×D43—42no—
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C22×D4×C43C2311yescharacteristic
321C23×C4×C43C2311yescharacteristic
322#126×C43—42no—
323#117×C43—42no—
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×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C42×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
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×D4×C43—41no—
362C2×D4×C43—41no—
363C2×D4×C43—41no—
364C22×C4×C43—22no—
365C22×C4×C43—41no—
366C22×C4×C43—41no—
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×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C22×C4×C43C2411yescharacteristic
380C2×C22⋊D43—22no—
381C2×C22⋊D43—22no—
382C2×C22⋊D43—22no—
383C2×C22⋊D43—41no—
384C2×C22⋊D43—41no—
385C2×C22⋊D43—41no—
386C2×C22⋊D43—41no—
387C2×C22⋊D43—41no—
388C2×C22⋊D43—41no—
389C2×C22⋊D43—41no—
390C2×C22⋊D43—41no—
391C2×C22⋊D43—41no—
392C22×Dic43—41no—
393C22×Dic43—41no—
394C22×Dic43—41no—
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2411yescharacteristic
405C22×Dic43C2411yescharacteristic
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C2×D172—22no—
410C2×D172—41no—
411C2×D172—41no—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—41no—
416C2×C4×D43—41no—
417C2×C4×D43—41no—
418C2×C4×D43—41no—
419C2×C4×D43—41no—
420C2×C4×D43—41no—
421C2×C4×D43—41no—
422C2×C4×D43—41no—
423C2×C4×D43#4114yes—
424C2×Dic86—22no—
425C2×Dic86—22no—
426C2×Dic86—41no—
427C2×Dic86—41no—
428C2×Dic86—41no—
429C2×Dic86—41no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—41no—
434C4⋊C4×C43—41no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C4⋊C4×C43—41no—
440C22⋊C4×C43—22no—
441C22⋊C4×C43—22no—
442C22⋊C4×C43—22no—
443C22⋊C4×C43—41no—
444C22⋊C4×C43—41no—
445C22⋊C4×C43—41no—
446C22⋊C4×C43—41no—
447C22⋊C4×C43—41no—
448C22⋊C4×C43—41no—
449C22⋊C4×C43—41no—
450C22⋊C4×C43—41no—
451C42×C43—22no—
452C42×C43—41no—
453C42×C43—41no—
454C42×C43—41no—
455C22⋊Dic43—22no—
456C22⋊Dic43—22no—
457C22⋊Dic43—22no—
458C22⋊Dic43—22no—
459C22⋊Dic43—22no—
460C22⋊Dic43—41no—
461C22⋊Dic43—41no—
462C22⋊Dic43—41no—
463C22⋊Dic43—41no—
464C22⋊Dic43—41no—
465C22⋊Dic43—41no—
466(C2×D43)⋊C4—22no—
467(C2×D43)⋊C4—22no—
468(C2×D43)⋊C4—22no—
469(C2×D43)⋊C4—22no—
470(C2×D43)⋊C4—22no—
471(C2×D43)⋊C4—22no—
472(C2×D43)⋊C4—22no—
473(C2×D43)⋊C4—41no—
474(C2×D43)⋊C4—41no—
475(C2×D43)⋊C4—41no—
476(C2×D43)⋊C4—41no—
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—
485(C2×D43)⋊C4—41no—
486C4⋊Dic43—22no—
487C4⋊Dic43—22no—
488C4⋊Dic43—41no—
489C4⋊Dic43—41no—
490C4⋊Dic43—41no—
491C4⋊Dic43—41no—
492Dic43⋊C4—22no—
493Dic43⋊C4—22no—
494Dic43⋊C4—22no—
495Dic43⋊C4—22no—
496Dic43⋊C4—22no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
499Dic43⋊C4—22no—
500Dic43⋊C4—41no—
501Dic43⋊C4—41no—
502Dic43⋊C4—41no—
503Dic43⋊C4—41no—
504Dic43⋊C4—41no—
505Dic43⋊C4—41no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514C4×Dic43—22no—
515C4×Dic43—22no—
516C4×Dic43—41no—
517C4×Dic43—41no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43C2511yescharacteristic
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43C2×#4112yes—
552D4×C43—82no—
553C2×C4×C43—21no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—44no—
591C2×C4×C43C2×#4112yes—
592C2×C4×C43H(5,𝔽2)12yes—
593C22⋊D43—44no—
594C22⋊D43—82no—
595C22⋊D43—82no—
596C22⋊D43—82no—
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—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—82no—
637C2×Dic43C2×#4112yes—
638C2×Dic43H(5,𝔽2)12yes—
639C2×Dic432−1+412yes—
640D172—82no—
641C4×D43—44no—
642C4×D43—44no—
643C4×D43—44no—
644C4×D43—82no—
645Dic86—82no—
646Dic86—82no—
647#36767—431nomaximal, Sylow
648C22×C43—41no—
649C22×C43—41no—
650C22×C43—41no—
651C22×C43—41no—
652C22×C43—41no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43C22×#4111yescharacteristic
663C22×C43C2×H(5,𝔽2)11yescharacteristic
664C22×C43C2×H(5,𝔽2)11yescharacteristic
665C22×C43C2×2−1+411yescharacteristic
666C22×C43#58511yescharacteristic
667C22×C43#58511yescharacteristic
668C22×C43#58511yescharacteristic
669C2×D43—22no—
670C2×D43—22no—
671C2×D43—22no—
672C2×D43—41no—
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C4×C43—22no—
684C4×C43—22no—
685C4×C43—41no—
686C4×C43—41no—
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—
696Dic43—22no—
697Dic43—22no—
698Dic43—22no—
699Dic43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710#2857—431no—
711#2854—431no—
712#2803—431no—
713#2802—431no—
714#2793—431no—
715#2783—431no—
716#2780—431no—
717#2747—431no—
718#2741—431no—
719#2730—431no—
720#2728—431no—
721#2723—431no—
722#2718—431no—
723#2716—431no—
724#2703—431no—
725#2696—431no—
726#2691—431no—
727#2674—431no—
728#2630—431no—
729#2630—431no—
730#2589—431no—
731#2588—431no—
732#2560—431no—
733#2557—431no—
734#2530—431no—
735#2529—431no—
736#2479D4311yescharacteristic, complemented
737#2470—431no—
738#2335—431no—
739#2335—431no—
740#2290—431no—
741C2×C43—81no—
742C2×C43—81no—
743C2×C43#345511yescharacteristic
744C2×C43#350511yescharacteristic
745C2×C43#351111yescharacteristic
746C2×C43#353511yescharacteristic
747C2×C43#354211yescharacteristic
748C2×C43#355711yescharacteristic
749C2×C43#356211yescharacteristic
750D43—42no—
751D43—81no—
752C2×C4⋊Q8—431no—
753C2×#126—431no—
754C2×#126C2×D4311yescharacteristic
755C2×#124—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123—431no—
759C2×#123—431no—
760C2×C22⋊Q8—431no—
761C2×C22⋊Q8—431no—
762C2×C22⋊Q8—431no—
763C2×#121—431no—
764C2×C4×D4—431no—
765C2×#117C2×D4311yescharacteristic
766C22×C42—431no—
767#400—431no—
768#400—431no—
769#400—431no—
770#400—431no—
771#400—431no—
772#400—431no—
773#400—431no—
774#399—431no—
775#399C2×D4311yescharacteristic
776#399C2×D4311yescharacteristic
777#398—431no—
778#398—431no—
779#398—431no—
780#398—431no—
781#398—431no—
782#398—431no—
783#398C2×D4311yescharacteristic
784#397—431no—
785#397—431no—
786#397—431no—
787#397—431no—
788#397—431no—
789#397—431no—
790#397—431no—
791#397—431no—
792#397—431no—
793#396—431no—
794#396—431no—
795#396—431no—
796#396—431no—
797#396—431no—
798#396—431no—
799#395—431no—
800#394—431no—
801#394—431no—
802#394—431no—
803#394—431no—
804#394—431no—
805#394—431no—
806#394—431no—
807#394—431no—
808#394C2×D4311yescharacteristic
809#393—431no—
810#393—431no—
811#393—431no—
812#392—431no—
813#392—431no—
814#392—431no—
815#391—431no—
816#391—431no—
817#391—431no—
818#391—431no—
819#390—431no—
820#390—431no—
821#390—431no—
822#390—431no—
823#390C2×D4311yescharacteristic
824#389—431no—
825#389—431no—
826#389—431no—
827#389—431no—
828#389—431no—
829#389—431no—
830#389—431no—
831#389—431no—
832#389C2×D4311yescharacteristic
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#388—431no—
844#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388C2×D4311yescharacteristic
853#388C2×D4311yescharacteristic
854#388C2×D4311yescharacteristic
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387C2×D4311yescharacteristic
873#386—431no—
874#386—431no—
875#386—431no—
876#386—431no—
877#386—431no—
878#386—431no—
879#386—431no—
880#386—431no—
881#386—431no—
882#386C2×D4311yescharacteristic
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385C2×D4311yescharacteristic
891#384—431no—
892#382—431no—
893#380—431no—
894#380—431no—
895#380—431no—
896#380—431no—
897#380—431no—
898#380—431no—
899C4×C4⋊C4—431no—
900C4×C4⋊C4—431no—
901C4×C4⋊C4C2×D4311yescharacteristic
902C4×C22⋊C4—431no—
903C4×C22⋊C4—431no—
904C4×C22⋊C4—431no—
905C4×C22⋊C4—431no—
906#376—431no—
907C43#3676711yescharacteristic, complemented, Sylow
908C22×Q8—431no—
909C22×Q8—431no—
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4C22×D4311yescharacteristic
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4C22×D4311yescharacteristic
922C4⋊Q8—1722no—
923#126—42no—
924#126—1722no—
925#124—1722no—
926#123—864no—
927#123—864no—
928#123—1722no—
929#123—1722no—
930C22⋊Q8—1722no—
931C22⋊Q8—1722no—
932C22⋊Q8—1722no—
933#121—1722no—
934C4×D4—864no—
935#117—42no—
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—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4C22×D4311yescharacteristic
965C2×C4⋊C4C22×D4311yescharacteristic
966C2×C4⋊C4C22×D4311yescharacteristic
967C2×C4⋊C4C22×D4311yescharacteristic
968C2×C4⋊C4C22×D4311yescharacteristic
969C2×C4⋊C4C22×D4311yescharacteristic
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C22⋊C4—431no—
975C2×C22⋊C4—431no—
976C2×C22⋊C4—431no—
977C2×C22⋊C4—431no—
978C2×C22⋊C4—431no—
979C2×C22⋊C4—431no—
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4C22×D4311yescharacteristic
1006C2×C22⋊C4C22×D4311yescharacteristic
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×C22⋊C4C22×D4311yescharacteristic
1015C2×C22⋊C4C22×D4311yescharacteristic
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—431no—
1024C2×C42—431no—
1025C2×C42—1722no—
1026C2×C42C22×D4311yescharacteristic
1027C2×C42C22×D4311yescharacteristic
1028C2×C42C22×D4311yescharacteristic
1029C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1071#95C22×D4311yescharacteristic
1072#95C22×D4311yescharacteristic
1073#95C22×D4311yescharacteristic
1074#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078C24—431no—
1079C24—431no—
1080C24C23×D4311yescharacteristic
1081C24C23×D4311yescharacteristic
1082C2×Q8—862no—
1083C2×Q8—862no—
1084C2×Q8—1721no—
1085C2×Q8—1721no—
1086C2×Q8—1721no—
1087C2×Q8—1721no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—862no—
1092C2×D4—862no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—1721no—
1096C2×D4—1721no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C2×D4—1721no—
1103C2×D4—1721no—
1104C2×D4—1721no—
1105C2×D4—1721no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—431no—
1110C22×C4—431no—
1111C22×C4—431no—
1112C22×C4—434no—
1113C22×C4—431no—
1114C22×C4—431no—
1115C22×C4—431no—
1116C22×C4—431no—
1117C22×C4—431no—
1118C22×C4—431no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—862no—
1125C22×C4—862no—
1126C22×C4—862no—
1127C22×C4—1721no—
1128C22×C4—1721no—
1129C22×C4—1721no—
1130C22×C4—1721no—
1131C22×C4—1721no—
1132C22×C4—1721no—
1133C22×C4—1721no—
1134C22×C4—1721no—
1135C22×C4—1721no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4C23×D4311yescharacteristic
1139C22×C4C23×D4311yescharacteristic
1140C22×C4C23×D4311yescharacteristic
1141C22×C4C23×D4311yescharacteristic
1142C22×C4C23×D4311yescharacteristic
1143C22×C4C23×D4311yescharacteristic
1144C22×C4C23×D4311yescharacteristic
1145C22×C4C23×D4311yescharacteristic
1146C22×C4C23×D4311yescharacteristic
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—862no—
1162C4⋊C4—862no—
1163C4⋊C4—862no—
1164C4⋊C4—862no—
1165C4⋊C4—862no—
1166C4⋊C4—862no—
1167C4⋊C4—862no—
1168C4⋊C4—862no—
1169C4⋊C4—862no—
1170C4⋊C4—862no—
1171C4⋊C4—1721no—
1172C4⋊C4—1721no—
1173C4⋊C4—1721no—
1174C4⋊C4—1721no—
1175C4⋊C4—1721no—
1176C4⋊C4—1721no—
1177C4⋊C4—1721no—
1178C4⋊C4—1721no—
1179C4⋊C4—1721no—
1180C4⋊C4—1721no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—862no—
1201C22⋊C4—862no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—1721no—
1213C22⋊C4—1721no—
1214C22⋊C4—1721no—
1215C22⋊C4—1721no—
1216C22⋊C4—1721no—
1217C22⋊C4—1721no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C42—22no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—862no—
1236C42—862no—
1237C42—1721no—
1238C42—1721no—
1239C42—1721no—
1240C42—1721no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—432no—
1259C23—861no—
1260C23—861no—
1261C23—861no—
1262C23—861no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23—861no—
1272C23C24×D4311yescharacteristic
1273Q8—3442no—
1274Q8—3442no—
1275D4—82no—
1276D4—3442no—
1277D4—3442no—
1278D4—3442no—
1279D4—3442no—
1280D4—1724no—
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—21no—
1318C2×C4—44no—
1319C2×C4—432no—
1320C2×C4—432no—
1321C2×C4—432no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
1326C2×C4—861no—
1327C2×C4—861no—
1328C2×C4—861no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—3442no—
1362C2×C4—3442no—
1363C2×C4—1724no—
1364C2×C4—1724no—
1365C2×C4—1724no—
1366C2×C4#41×D4312yes—
1367C2×C4#1306337012yes—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—862no—
1383C22—862no—
1384C22—862no—
1385C22—1721no—
1386C22—1721no—
1387C22—1721no—
1388C22—1721no—
1389C22—1721no—
1390C22—1721no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22C2×#41×D4311yescharacteristic
1397C22H(5,𝔽2)×D4311yescharacteristic
1398C22C2×#1306337011yescharacteristic
1399C222−1+4×D4311yescharacteristic
1400C22#1458373511yescharacteristic
1401C22#1458373511yescharacteristic
1402C22#1458373511yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—862no—
1417C4—862no—
1418C4—862no—
1419C4—1721no—
1420C4—1721no—
1421C4—1721no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C2—81no—
1431C2—81no—
1432C2—3441no—
1433C2—1722no—
1434C2#1914797811yescharacteristic
1435C2#1914842311yescharacteristic
1436C2#1914850011yescharacteristic
1437C2#1914879611yescharacteristic
1438C2#1914890111yescharacteristic
1439C2#1914909111yescharacteristic
1440C2#1914917611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2479C2
prime radical#19141244C2
hypercenter#2479D43
hypocenterC43#36767
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. #19142946C2semidirect
2. #19142922C2semidirect
3. #19142524C2semidirect
4. #19142520C2semidirect
5. #19142402C2semidirect
6. #19142280C2semidirect
7. #19142248C2semidirect
8. #19141789C2semidirect
9. #19141709C2semidirect
10. #19141589C2semidirect
11. #19141565C2semidirect
12. #19141507C2semidirect
13. #19141451C2semidirect
14. #19141417C2semidirect
16. #19141140C2semidirect
17. #19141070C2semidirect
18. #19140881C2semidirect
19. #19140440C2semidirect
20. #19140438C2semidirect
21. #19140045C2semidirect
22. #19140031C2semidirect
23. #19139741C2semidirect
24. #19139691C2semidirect
25. #19139432C2semidirect
26. #19139419C2semidirect
27. #19138685C2semidirect
28. #19137383C2semidirect
29. #19137379C2semidirect
30. #19137032C2semidirect
31. C43×#2479C2semidirect
736. #2479D43semidirect
907. C43#36767semidirect

Maximal subgroups

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

subgroupindex
#191429462
#191429222
#191425242
#191425202
#191424022
#191422802
#191422482
#191417892
#191417092
#191415892
#191415652
#191415072
#191414512
#191414172
#191412442
#191411402
#191410702
#191408812
#191404402
#191404382
#191400452
#191400312
#191397412
#191396912
#191394322
#191394192
#191386852
#191373832
#191373792
#191370322
C43×#24792
#3676743