Finite Group Databasebeta

← #25266485

Subgroups — #25266485

Order 11008.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19139479C211yesmaximal, characteristic, complemented
2#19139456C211yesmaximal, characteristic, complemented
3#19139447C211yesmaximal, characteristic, complemented
4#19139424C211yesmaximal, characteristic, complemented
5#19139414C211yesmaximal, characteristic, complemented
6#19139391C211yesmaximal, characteristic, complemented
7#19139382C211yesmaximal, characteristic, complemented
8#19139158C211yesmaximal, characteristic, complemented
9#19139101C211yesmaximal, characteristic, complemented
10#19138973C211yesmaximal, characteristic, complemented
11#19138926C211yesmaximal, characteristic, complemented
12#19138414C211yesmaximal, characteristic, complemented
13#19138342C211yesmaximal, characteristic
14#19138147C211yesmaximal, characteristic
15#19138069C211yesmaximal, characteristic, complemented
16#19137901C211yesmaximal, characteristic, complemented
17#19137897C211yesmaximal, characteristic, complemented
18#19137892C211yesmaximal, characteristic, complemented
19#19137883C211yesmaximal, characteristic, complemented
20#19137129C211yesmaximal, characteristic, complemented
21#19137122C211yesmaximal, characteristic, complemented
22#19137122C211yesmaximal, characteristic, complemented
23#19137111C211yesmaximal, characteristic
24#19137089C211yesmaximal, characteristic, complemented
25#19137066C211yesmaximal, characteristic, complemented
26#19137037C211yesmaximal, characteristic, complemented
27#19137035C211yesmaximal, characteristic, complemented
28#19136986C211yesmaximal, characteristic, complemented
29C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
30#376×D43C211yesmaximal, characteristic, complemented
31C43×#2526C211yesmaximal, characteristic, complemented
32C2×#13063307C2211yescharacteristic
33C2×#13063307C2211yescharacteristic
34C2×#13063303C2211yescharacteristic
35C2×#13063296C2211yescharacteristic
36C2×#13063290C2211yescharacteristic
37C2×D4×Dic43C2211yescharacteristic
38C2×C4×C22⋊D43C2211yescharacteristic
39C2×(C22⋊D43)⋊C4C2211yescharacteristic
40C2×(C22⋊D43)⋊C4C2211yescharacteristic
41C2×(C22⋊D43)⋊C4C2211yescharacteristic
42C2×#13063281C2211yescharacteristic
43C22×C4×Dic43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C2×C42×D43C2211yescharacteristic
46C2×C42×D43C2211yescharacteristic
47C43⋊#401C2211yescharacteristic
48C43⋊#401C2211yescharacteristic
49#14582841C2211yescharacteristic
50#14582841C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582840C2211yescharacteristic
54#14582839C2211yescharacteristic
55#14582838C2211yescharacteristic
56#14582838C2211yescharacteristic
57#14582838C2211yescharacteristic
58#14582838C2211yescharacteristic
59#14582837C2211yescharacteristic
60#14582833C2211yescharacteristic
61#14582833C2211yescharacteristic
62#14582832C2211yescharacteristic
63#14582830C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582824C2211yescharacteristic
69#14582824C2211yescharacteristic
70#14582824C2211yescharacteristic
71#14582822C2211yescharacteristic
72#14582813C2211yescharacteristic
73#14582811C2211yescharacteristic
74#14582811C2211yescharacteristic
75#14582805C2211yescharacteristic
76#14582804C2211yescharacteristic
77#14582803C2211yescharacteristic
78#14582798C2211yescharacteristic
79#14582797C2211yescharacteristic
80#14582796C2211yescharacteristic
81#14582793C2211yescharacteristic
82#14582793C2211yescharacteristic
83#14582793C2211yescharacteristic
84#14582793C2211yescharacteristic
85#14582792C2211yescharacteristic
86#14582792C2211yescharacteristic
87#14582787C2211yescharacteristic
88#14582787C2211yescharacteristic
89#14582787C2211yescharacteristic
90#14582787C2211yescharacteristic
91#14582786C2211yescharacteristic
92#14582786C2211yescharacteristic
93#14582786C2211yescharacteristic
94#14582784C2211yescharacteristic
95#14582784C2211yescharacteristic
96#14582784C2211yescharacteristic
97#14582783C2211yescharacteristic
98#14582783C2211yescharacteristic
99#14582783C2211yescharacteristic
100#14582783C2211yescharacteristic
101#14582783C2211yescharacteristic
102#14582782C2211yescharacteristic
103#14582781C2211yescharacteristic
104#14582781C2211yescharacteristic
105#14582780C2211yescharacteristic
106#14582780C2211yescharacteristic
107#14582780C2211yescharacteristic
108#14582779C2211yescharacteristic
109#14582775C2211yescharacteristic
110#14582775C2211yescharacteristic
111#14582775C2211yescharacteristic
112#14582775C2211yescharacteristic
113#14582775C2211yescharacteristic
114#14582775C2211yescharacteristic
115#14582773C2211yescharacteristic
116#14582773C2211yescharacteristic
117#14582772C2211yescharacteristic
118#14582771C2211yescharacteristic
119#14582770C2211yescharacteristic
120#14582770C2211yescharacteristic
121#14582770C2211yescharacteristic
122#14582770C2211yescharacteristic
123#14582766C2211yescharacteristic
124#14582766C2211yescharacteristic
125#14582763C2211yescharacteristic
126#14582763C2211yescharacteristic
127#14582762C2211yescharacteristic
128#14582761C2211yescharacteristic
129#14582761C2211yescharacteristic
130#14582758C2211yescharacteristic
131#14582757C2211yescharacteristic
132#14582757C2211yescharacteristic
133#14582756C2211yescharacteristic
134C4⋊C4×Dic43C2211yescharacteristic
135C4⋊C4×Dic43C2211yescharacteristic
136C4⋊C4×Dic43C2211yescharacteristic
137C4⋊C4×Dic43C2211yescharacteristic
138C4⋊C4×Dic43C2211yescharacteristic
139C4×Dic43⋊C4C2211yescharacteristic
140#14582750C2211yescharacteristic
141#14582750C2211yescharacteristic
142#14582750C2211yescharacteristic
143#14582750C2211yescharacteristic
144#14582750C2211yescharacteristic
145#14582750C2211yescharacteristic
146C22⋊C4×Dic43C2211yescharacteristic
147C22⋊C4×Dic43C2211yescharacteristic
148C22⋊C4×Dic43C2211yescharacteristic
149C22⋊C4×Dic43C2211yescharacteristic
150C22⋊C4×Dic43C2211yescharacteristic
151C22⋊C4×Dic43C2211yescharacteristic
152C22⋊C4×Dic43C2211yescharacteristic
153C22⋊C4×Dic43C2211yescharacteristic
154C22⋊C4×Dic43C2211yescharacteristic
155C4×(C2×D43)⋊C4C2211yescharacteristic
156#14582746C2211yescharacteristic
157#14582746C2211yescharacteristic
158#14582746C2211yescharacteristic
159#14582745C2211yescharacteristic
160#14582745C2211yescharacteristic
161#14582745C2211yescharacteristic
162#14582744C2211yescharacteristic
163#14582744C2211yescharacteristic
164#14582744C2211yescharacteristic
165#14582744C2211yescharacteristic
166#14582744C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#397C2211yescharacteristic
174C43×#396C2211yescharacteristic
175C43×#394C2211yescharacteristic
176C43×#390C2211yescharacteristic
177C43×#389C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#388C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#381C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C43×#376C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×C22⋊D43C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200#13063307—24no—
201#13063307—24no—
202#13063303—24no—
203#13063296—24no—
204#13063290—24no—
205D4×Dic43—24no—
206C4×C22⋊D43—24no—
207(C22⋊D43)⋊C4—24no—
208(C22⋊D43)⋊C4—24no—
209(C22⋊D43)⋊C4—24no—
210#13063281—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×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×C4×Dic43—24no—
251C2×C4×Dic43C2311yescharacteristic
252C2×C4×Dic43C2311yescharacteristic
253C2×C4×Dic43C2311yescharacteristic
254C2×C4×Dic43C2311yescharacteristic
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
271C42×D43—24no—
272C42×D43—24no—
273C42×D43—24no—
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C22×D4×C43C2311yescharacteristic
323C23×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×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C22⋊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×C42×C43C2311yescharacteristic
342C2×C42×C43C2311yescharacteristic
343C2×C42×C43C2311yescharacteristic
344C2×C42×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
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C2×D4×C43—22no—
361C2×D4×C43—22no—
362C2×D4×C43—41no—
363C22×C4×C43—22no—
364C22×C4×C43—22no—
365C22×C4×C43—41no—
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×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C2×C22⋊D43—22no—
380C2×C22⋊D43—22no—
381C2×C22⋊D43—22no—
382C2×C22⋊D43—22no—
383C2×C22⋊D43—22no—
384C2×C22⋊D43#4114yes—
385C22×Dic43—22no—
386C22×Dic43—22no—
387C22×Dic43—22no—
388C22×Dic43—22no—
389C22×Dic43—22no—
390C22×Dic43—22no—
391C22×Dic43—22no—
392C22×Dic43—22no—
393C22×Dic43—41no—
394C22×Dic43C2411yescharacteristic
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×C4×D43—22no—
410C2×C4×D43—22no—
411C2×C4×D43—22no—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—41no—
424C2×C4×D43—41no—
425C2×C4×D43—41no—
426C2×C4×D43—41no—
427C2×C4×D43—41no—
428C2×C4×D43—41no—
429C2×C4×D43#4114yes—
430C2×Dic86—22no—
431C2×Dic86—22no—
432C2×Dic86—41no—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C4⋊C4×C43—41no—
439C22⋊C4×C43—22no—
440C22⋊C4×C43—22no—
441C22⋊C4×C43—22no—
442C22⋊C4×C43—22no—
443C22⋊C4×C43—22no—
444C22⋊C4×C43—22no—
445C22⋊C4×C43—41no—
446C22⋊C4×C43—41no—
447C22⋊C4×C43—41no—
448C22⋊C4×C43—41no—
449C22⋊C4×C43—41no—
450C42×C43—22no—
451C42×C43—22no—
452C42×C43—22no—
453C42×C43—41no—
454C22⋊Dic43—22no—
455C22⋊Dic43—22no—
456C22⋊Dic43—22no—
457C22⋊Dic43—22no—
458C22⋊Dic43—22no—
459C22⋊Dic43—22no—
460C22⋊Dic43—22no—
461C22⋊Dic43—22no—
462C22⋊Dic43—41no—
463C22⋊Dic43—41no—
464C22⋊Dic43—41no—
465(C2×D43)⋊C4—22no—
466(C2×D43)⋊C4—22no—
467(C2×D43)⋊C4—22no—
468(C2×D43)⋊C4—22no—
469(C2×D43)⋊C4—22no—
470(C2×D43)⋊C4#4114yes—
471C4⋊Dic43—22no—
472C4⋊Dic43—22no—
473C4⋊Dic43—22no—
474C4⋊Dic43—22no—
475C4⋊Dic43—41no—
476C4⋊Dic43—41no—
477Dic43⋊C4—22no—
478Dic43⋊C4—22no—
479Dic43⋊C4—22no—
480Dic43⋊C4—22no—
481Dic43⋊C4—22no—
482Dic43⋊C4—22no—
483Dic43⋊C4—22no—
484Dic43⋊C4—22no—
485Dic43⋊C4—22no—
486Dic43⋊C4—22no—
487Dic43⋊C4—22no—
488Dic43⋊C4—22no—
489Dic43⋊C4—41no—
490Dic43⋊C4—41no—
491Dic43⋊C4—41no—
492Dic43⋊C4—41no—
493C4×Dic43—22no—
494C4×Dic43—22no—
495C4×Dic43—22no—
496C4×Dic43—22no—
497C4×Dic43—22no—
498C4×Dic43—22no—
499C4×Dic43—22no—
500C4×Dic43—22no—
501C4×Dic43—22no—
502C4×Dic43—22no—
503C4×Dic43—22no—
504C4×Dic43—22no—
505C4×Dic43—22no—
506C4×Dic43—22no—
507C4×Dic43—22no—
508C4×Dic43—22no—
509C4×Dic43—22no—
510C4×Dic43—41no—
511C4×Dic43#4114yes—
512C4×Dic43#4114yes—
513C23×C43—21no—
514C23×C43—21no—
515C23×C43—21no—
516C23×C43—21no—
517C23×C43—21no—
518C23×C43—21no—
519C23×C43—21no—
520C23×C43—21no—
521C23×C43—21no—
522C23×C43—21no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43C2×#4112yes—
527C23×C43C2511yescharacteristic
528C22×D43—21no—
529C22×D43—21no—
530C22×D43—21no—
531C22×D43—21no—
532C22×D43C2×#4112yes—
533C22×D43C2×#4112yes—
534C22×D43C2×#4112yes—
535D4×C43—44no—
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×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—44no—
572C2×C4×C43C2×#4112yes—
573C2×C4×C43C2×#4112yes—
574C2×C4×C43C2×#4112yes—
575C2×C4×C43C2×#4112yes—
576C22⋊D43—28no—
577C22⋊D43—44no—
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—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—44no—
617C2×Dic43—44no—
618C2×Dic43—44no—
619C2×Dic43C2×#4112yes—
620C2×Dic43C2×#4112yes—
621C2×Dic43C2×#4112yes—
622C2×Dic43C2×#4112yes—
623C2×Dic43C2×#4112yes—
624C2×Dic43C2×#4112yes—
625C2×Dic43C2×#4112yes—
626C4×D43—28no—
627C4×D43—44no—
628C4×D43—44no—
629C4×D43—44no—
630C4×D43—44no—
631C4×D43—44no—
632C4×D43—44no—
633Dic86—44no—
634#34811—431nomaximal, Sylow
635C22×C43—22no—
636C22×C43—22no—
637C22×C43—22no—
638C22×C43—41no—
639C22×C43—41no—
640C22×C43—41no—
641C22×C43—41no—
642C22×C43—41no—
643C22×C43—41no—
644C22×C43—41no—
645C22×C43—41no—
646C22×C43—41no—
647C22×C43—41no—
648C22×C43—41no—
649C22×C43C22×#4111yescharacteristic
650C22×C43C22×#4111yescharacteristic
651C22×C43C22×#4111yescharacteristic
652C22×C43C22×#4111yescharacteristic
653C22×C43C22×#4111yescharacteristic
654C22×C43#58511yescharacteristic
655C22×C43#58511yescharacteristic
656C2×D43—22no—
657C2×D43—22no—
658C2×D43—22no—
659C2×D43—22no—
660C2×D43—22no—
661C2×D43—22no—
662C2×D43#52914yes—
663C4×C43—22no—
664C4×C43—22no—
665C4×C43—22no—
666C4×C43—22no—
667C4×C43—41no—
668C4×C43—41no—
669C4×C43—41no—
670C4×C43—41no—
671C4×C43—41no—
672C4×C43—41no—
673C4×C43—41no—
674C4×C43—41no—
675C4×C43—41no—
676Dic43—22no—
677Dic43—22no—
678Dic43—22no—
679Dic43—22no—
680Dic43—41no—
681Dic43—41no—
682Dic43—41no—
683Dic43—41no—
684Dic43—41no—
685Dic43—41no—
686Dic43—41no—
687Dic43—41no—
688Dic43—41no—
689Dic43—41no—
690Dic43#52914yes—
691#2533—431no—
692#2532—431no—
693#2531—431no—
694#2530—431no—
695#2529—431no—
696#2528—431no—
697#2527—431no—
698#2526D4311yescharacteristic, complemented
699#2510—431no—
700#2505—431no—
701#2493—431no—
702#2488—431no—
703#2450—431no—
704#2444—431no—
705#2425—431no—
706#2419—431no—
707#2402—431no—
708#2401—431no—
709#2401—431no—
710#2398—431no—
711C4×C22⋊Q8—431no—
712C4×#123—431no—
713C4×#123—431no—
714C4×#121—431no—
715#2298—431no—
716#2295—431no—
717#2290—431no—
718#2290—431no—
719#2283—431no—
720C42×D4—431no—
721C2×#376—431no—
722C2×C43—42no—
723C2×C43—81no—
724C2×C43C2×#52911yescharacteristic
725C2×C43C2×#52911yescharacteristic
726C2×C43#345511yescharacteristic
727C2×C43#347511yescharacteristic
728C2×C43#347511yescharacteristic
729C2×C43#347511yescharacteristic
730C2×C43#347511yescharacteristic
731D43—24no—
732C2×#123—431no—
733C2×#123—431no—
734C2×C22⋊Q8—431no—
735C2×#121—431no—
736C2×C4×Q8—431no—
737C2×C4×D4—431no—
738C2×C4×D4—431no—
739C2×C4×D4—431no—
740C2×C4×D4—431no—
741C2×C4×D4—431no—
742C2×#117—431no—
743C22×C42—431no—
744C22×C42—431no—
745C22×C42—431no—
746C22×C42—431no—
747#401—431no—
748#401—431no—
749#400—431no—
750#400—431no—
751#400—431no—
752#400—431no—
753#400—431no—
754#400—431no—
755#400—431no—
756#400—431no—
757#400—431no—
758#400—431no—
759#400—431no—
760#400C2×D4311yescharacteristic
761#398—431no—
762#398—431no—
763#398—431no—
764#398—431no—
765#397—431no—
766#397—431no—
767#397—431no—
768#397—431no—
769#397—431no—
770#397—431no—
771#397—431no—
772#397C2×D4311yescharacteristic
773#396—431no—
774#396C2×D4311yescharacteristic
775#394—431no—
776#394C2×D4311yescharacteristic
777#393—431no—
778#393—431no—
779#391—431no—
780#391—431no—
781#391—431no—
782#390C2×D4311yescharacteristic
783#389—431no—
784#389—431no—
785#389—431no—
786#389C2×D4311yescharacteristic
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#388C2×D4311yescharacteristic
798#388C2×D4311yescharacteristic
799#388C2×D4311yescharacteristic
800#388C2×D4311yescharacteristic
801#387—431no—
802#387—431no—
803#387—431no—
804#387—431no—
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#387C2×D4311yescharacteristic
819#386—431no—
820#386—431no—
821#386—431no—
822#386—431no—
823#386—431no—
824#386—431no—
825#386—431no—
826#386C2×D4311yescharacteristic
827#385—431no—
828#385—431no—
829#385—431no—
830#385—431no—
831#385—431no—
832#385—431no—
833#385—431no—
834#385—431no—
835#383—431no—
836#383—431no—
837#382—431no—
838#382—431no—
839#381—431no—
840#381—431no—
841#381—431no—
842#381C2×D4311yescharacteristic
843#380—431no—
844#380—431no—
845#380—431no—
846#380—431no—
847C4×C4⋊C4—431no—
848C4×C4⋊C4—431no—
849C4×C4⋊C4—431no—
850C4×C4⋊C4—431no—
851C4×C4⋊C4—431no—
852C4×C4⋊C4—431no—
853C4×C4⋊C4—431no—
854C4×C4⋊C4—431no—
855C4×C4⋊C4—431no—
856C4×C4⋊C4—431no—
857C4×C4⋊C4—431no—
858C4×C4⋊C4—431no—
859C4×C22⋊C4—431no—
860C4×C22⋊C4—431no—
861C4×C22⋊C4—431no—
862C4×C22⋊C4—431no—
863C4×C22⋊C4—431no—
864C4×C22⋊C4—431no—
865C4×C22⋊C4—431no—
866C4×C22⋊C4—431no—
867C4×C22⋊C4—431no—
868C4×C22⋊C4—431no—
869C4×C22⋊C4—431no—
870C4×C22⋊C4—431no—
871C4×C22⋊C4—431no—
872C4×C22⋊C4C2×D4311yescharacteristic
873#376—431no—
874#376—431no—
875#376—431no—
876#376—431no—
877#376—431no—
878#376—431no—
879#376—431no—
880#376—431no—
881#376C2×D4311yescharacteristic
882C2×#95—431no—
883C2×#95—431no—
884C2×#95—431no—
885C2×#95—431no—
886C43—431no—
887C43#3481111yescharacteristic, complemented, Sylow
888C22×Q8—431no—
889C22×D4—431no—
890C22×D4—431no—
891C22×D4C22×D4311yescharacteristic
892C23×C4—431no—
893C23×C4—431no—
894C23×C4—431no—
895C23×C4—431no—
896C23×C4—431no—
897C23×C4—431no—
898C23×C4—431no—
899C23×C4—431no—
900C23×C4—431no—
901C23×C4—431no—
902C23×C4C22×D4311yescharacteristic
903#123—864no—
904#123—864no—
905C22⋊Q8—864no—
906#121—864no—
907C4×Q8—864no—
908C4×D4—864no—
909C4×D4—864no—
910C4×D4—864no—
911C4×D4—864no—
912C4×D4—864no—
913#117—864no—
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⋊C4—431no—
923C2×C4⋊C4—431no—
924C2×C4⋊C4—431no—
925C2×C4⋊C4—431no—
926C2×C4⋊C4—431no—
927C2×C4⋊C4—431no—
928C2×C4⋊C4—431no—
929C2×C4⋊C4—431no—
930C2×C4⋊C4—431no—
931C2×C4⋊C4—431no—
932C2×C4⋊C4—431no—
933C2×C4⋊C4—431no—
934C2×C4⋊C4—431no—
935C2×C4⋊C4—431no—
936C2×C4⋊C4C22×D4311yescharacteristic
937C2×C4⋊C4C22×D4311yescharacteristic
938C2×C4⋊C4C22×D4311yescharacteristic
939C2×C4⋊C4C22×D4311yescharacteristic
940C2×C4⋊C4C22×D4311yescharacteristic
941C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
954C2×C22⋊C4—431no—
955C2×C22⋊C4—431no—
956C2×C22⋊C4—431no—
957C2×C22⋊C4—431no—
958C2×C22⋊C4—431no—
959C2×C22⋊C4C22×D4311yescharacteristic
960C2×C22⋊C4C22×D4311yescharacteristic
961C2×C22⋊C4C22×D4311yescharacteristic
962C2×C22⋊C4C22×D4311yescharacteristic
963C2×C22⋊C4C22×D4311yescharacteristic
964C2×C22⋊C4C22×D4311yescharacteristic
965C2×C22⋊C4C22×D4311yescharacteristic
966C2×C22⋊C4C22×D4311yescharacteristic
967C2×C22⋊C4C22×D4311yescharacteristic
968C2×C22⋊C4C22×D4311yescharacteristic
969C2×C22⋊C4C22×D4311yescharacteristic
970C2×C42—431no—
971C2×C42—431no—
972C2×C42—431no—
973C2×C42—431no—
974C2×C42—431no—
975C2×C42—431no—
976C2×C42—431no—
977C2×C42—431no—
978C2×C42—431no—
979C2×C42—431no—
980C2×C42—431no—
981C2×C42—431no—
982C2×C42—431no—
983C2×C42—431no—
984C2×C42—431no—
985C2×C42—431no—
986C2×C42—431no—
987C2×C42—431no—
988C2×C42—431no—
989C2×C42—431no—
990C2×C42—864no—
991C2×C42—864no—
992C2×C42—864no—
993C2×C42—864no—
994C2×C42C22×D4311yescharacteristic
995C2×C42C22×D4311yescharacteristic
996C2×C42C22×D4311yescharacteristic
997C2×C42C22×D4311yescharacteristic
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#95—431no—
1020#95—431no—
1021#95—431no—
1022#95—431no—
1023#95—431no—
1024#95—431no—
1025#95—431no—
1026#95—431no—
1027#95—431no—
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95C22×D4311yescharacteristic
1047#95C22×D4311yescharacteristic
1048#95C22×D4311yescharacteristic
1049#95C22×D4311yescharacteristic
1050#95C22×D4311yescharacteristic
1051#95C22×D4311yescharacteristic
1052#95C22×D4311yescharacteristic
1053#95C22×D4311yescharacteristic
1054#95C22×D4311yescharacteristic
1055#95C22×D4311yescharacteristic
1056#95C22×D4311yescharacteristic
1057#95C22×D4311yescharacteristic
1058C24—431no—
1059C24C23×D4311yescharacteristic
1060C24C23×D4311yescharacteristic
1061C2×Q8—862no—
1062C2×Q8—862no—
1063C2×Q8—1721no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—41no—
1067C2×D4—434no—
1068C2×D4—862no—
1069C2×D4—862no—
1070C2×D4—862no—
1071C2×D4—862no—
1072C2×D4—862no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—41no—
1076C22×C4—431no—
1077C22×C4—431no—
1078C22×C4—431no—
1079C22×C4—431no—
1080C22×C4—431no—
1081C22×C4—434no—
1082C22×C4—431no—
1083C22×C4—431no—
1084C22×C4—431no—
1085C22×C4—431no—
1086C22×C4—431no—
1087C22×C4—431no—
1088C22×C4—431no—
1089C22×C4—431no—
1090C22×C4—431no—
1091C22×C4—431no—
1092C22×C4—862no—
1093C22×C4—862no—
1094C22×C4—862no—
1095C22×C4—862no—
1096C22×C4—862no—
1097C22×C4—862no—
1098C22×C4—862no—
1099C22×C4—862no—
1100C22×C4—862no—
1101C22×C4—862no—
1102C22×C4—862no—
1103C22×C4—862no—
1104C22×C4—862no—
1105C22×C4—862no—
1106C22×C4—862no—
1107C22×C4—862no—
1108C22×C4—862no—
1109C22×C4—862no—
1110C22×C4—862no—
1111C22×C4—862no—
1112C22×C4—862no—
1113C22×C4—862no—
1114C22×C4—1721no—
1115C22×C4—1721no—
1116C22×C4—1721no—
1117C22×C4—1721no—
1118C22×C4—1721no—
1119C22×C4—1721no—
1120C22×C4—1721no—
1121C22×C4C23×D4311yescharacteristic
1122C22×C4C23×D4311yescharacteristic
1123C22×C4C23×D4311yescharacteristic
1124C22×C4C23×D4311yescharacteristic
1125C22×C4C23×D4311yescharacteristic
1126C22×C4C23×D4311yescharacteristic
1127C22×C4C23×D4311yescharacteristic
1128C22×C4C23×D4311yescharacteristic
1129C22×C4C23×D4311yescharacteristic
1130C22×C4C23×D4311yescharacteristic
1131C22×C4C23×D4311yescharacteristic
1132C22×C4C23×D4311yescharacteristic
1133C22×C4C23×D4311yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—862no—
1141C4⋊C4—862no—
1142C4⋊C4—862no—
1143C4⋊C4—862no—
1144C4⋊C4—862no—
1145C4⋊C4—862no—
1146C4⋊C4—862no—
1147C4⋊C4—862no—
1148C4⋊C4—862no—
1149C4⋊C4—862no—
1150C4⋊C4—862no—
1151C4⋊C4—862no—
1152C4⋊C4—862no—
1153C4⋊C4—862no—
1154C4⋊C4—862no—
1155C4⋊C4—862no—
1156C4⋊C4—1721no—
1157C4⋊C4—1721no—
1158C4⋊C4—1721no—
1159C4⋊C4—1721no—
1160C4⋊C4—1721no—
1161C4⋊C4—1721no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—434no—
1174C22⋊C4—862no—
1175C22⋊C4—862no—
1176C22⋊C4—862no—
1177C22⋊C4—862no—
1178C22⋊C4—862no—
1179C22⋊C4—862no—
1180C22⋊C4—862no—
1181C22⋊C4—862no—
1182C22⋊C4—862no—
1183C22⋊C4—862no—
1184C22⋊C4—862no—
1185C22⋊C4—862no—
1186C22⋊C4—862no—
1187C22⋊C4—1721no—
1188C22⋊C4—1721no—
1189C22⋊C4—1721no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—41no—
1194C42—434no—
1195C42—434no—
1196C42—862no—
1197C42—862no—
1198C42—862no—
1199C42—862no—
1200C42—862no—
1201C42—862no—
1202C42—862no—
1203C42—862no—
1204C42—862no—
1205C42—862no—
1206C42—862no—
1207C42—862no—
1208C42—862no—
1209C42—862no—
1210C42—862no—
1211C42—862no—
1212C42—862no—
1213C42—1721no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—432no—
1228C23—432no—
1229C23—432no—
1230C23—861no—
1231C23—861no—
1232C23—861no—
1233C23—861no—
1234C23#41×D4312yes—
1235C23C24×D4311yescharacteristic
1236Q8—1724no—
1237D4—44no—
1238D4—868no—
1239D4—1724no—
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—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—44no—
1276C2×C4—432no—
1277C2×C4—432no—
1278C2×C4—432no—
1279C2×C4—432no—
1280C2×C4—432no—
1281C2×C4—432no—
1282C2×C4—432no—
1283C2×C4—868no—
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—861no—
1293C2×C4—861no—
1294C2×C4—861no—
1295C2×C4—861no—
1296C2×C4—861no—
1297C2×C4—861no—
1298C2×C4—861no—
1299C2×C4—861no—
1300C2×C4—861no—
1301C2×C4—861no—
1302C2×C4—861no—
1303C2×C4—861no—
1304C2×C4—861no—
1305C2×C4—861no—
1306C2×C4—861no—
1307C2×C4—861no—
1308C2×C4—861no—
1309C2×C4—861no—
1310C2×C4—861no—
1311C2×C4—861no—
1312C2×C4—861no—
1313C2×C4—861no—
1314C2×C4—861no—
1315C2×C4—861no—
1316C2×C4—861no—
1317C2×C4—861no—
1318C2×C4—861no—
1319C2×C4—861no—
1320C2×C4—861no—
1321C2×C4—861no—
1322C2×C4—1724no—
1323C2×C4—1724no—
1324C2×C4—1724no—
1325C2×C4—1724no—
1326C2×C4—1724no—
1327C2×C4—1724no—
1328C2×C4—1724no—
1329C2×C4—1724no—
1330C2×C4—1724no—
1331C2×C4#41×D4312yes—
1332C2×C4#41×D4312yes—
1333C2×C4#41×D4312yes—
1334C2×C4#41×D4312yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—434no—
1350C22—862no—
1351C22—862no—
1352C22—862no—
1353C22—862no—
1354C22—862no—
1355C22—862no—
1356C22C2×#41×D4311yescharacteristic
1357C22C2×#41×D4311yescharacteristic
1358C22C2×#41×D4311yescharacteristic
1359C22C2×#41×D4311yescharacteristic
1360C22C2×#41×D4311yescharacteristic
1361C22#1458373411yescharacteristic
1362C22#1458373411yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—434no—
1377C4—862no—
1378C4—862no—
1379C4—862no—
1380C4—862no—
1381C4—1721no—
1382C4—1721no—
1383C4—1721no—
1384C4—1721no—
1385C4—1721no—
1386C4—1721no—
1387C4—1721no—
1388C4—1721no—
1389C4—1721no—
1390C4—1721no—
1391C2—42no—
1392C2—81no—
1393C2—864no—
1394C2#529×D4311yescharacteristic
1395C2#529×D4311yescharacteristic
1396C2#1914797911yescharacteristic
1397C2#1914815011yescharacteristic
1398C2#1914815011yescharacteristic
1399C2#1914815211yescharacteristic
1400C2#1914815411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2526C2
prime radicalC2×#13063296C22
hypercenter#2526D43
hypocenterC43#34811
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2526

Complements

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

NH ≅ G/Ntype
1. #19139479C2semidirect
2. #19139456C2semidirect
3. #19139447C2semidirect
4. #19139424C2semidirect
5. #19139414C2semidirect
6. #19139391C2semidirect
7. #19139382C2semidirect
8. #19139158C2semidirect
9. #19139101C2semidirect
10. #19138973C2semidirect
11. #19138926C2semidirect
12. #19138414C2semidirect
15. #19138069C2semidirect
16. #19137901C2semidirect
17. #19137897C2semidirect
18. #19137892C2semidirect
19. #19137883C2semidirect
20. #19137129C2semidirect
21. #19137122C2semidirect
22. #19137122C2semidirect
24. #19137089C2semidirect
25. #19137066C2semidirect
26. #19137037C2semidirect
27. #19137035C2semidirect
28. #19136986C2semidirect
29. C4×(C22⋊D43)⋊C4C2semidirect
30. #376×D43C2semidirect
31. C43×#2526C2semidirect
698. #2526D43semidirect
887. C43#34811semidirect

Maximal subgroups

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

subgroupindex
#191394792
#191394562
#191394472
#191394242
#191394142
#191393912
#191393822
#191391582
#191391012
#191389732
#191389262
#191384142
#191383422
#191381472
#191380692
#191379012
#191378972
#191378922
#191378832
#191371292
#191371222
#191371112
#191370892
#191370662
#191370372
#191370352
#191369862
C4×(C22⋊D43)⋊C42
#376×D432
C43×#25262
#3481143