Finite Group Databasebeta

← #25304907

Subgroups — #25304907

Order 11008.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142890C211yesmaximal, characteristic, complemented
2#19142879C211yesmaximal, characteristic, complemented
3#19142267C211yesmaximal, characteristic, complemented
4#19141834C211yesmaximal, characteristic, complemented
5#19141785C211yesmaximal, characteristic, complemented
6#19141774C211yesmaximal, characteristic, complemented
7#19141740C211yesmaximal, characteristic, complemented
8#19141562C211yesmaximal, characteristic, complemented
9#19141314C211yesmaximal, characteristic, complemented
10#19141314C211yesmaximal, characteristic, complemented
11#19141282C211yesmaximal, characteristic, complemented
12#19141152C211yesmaximal, characteristic, complemented
13#19141137C211yesmaximal, characteristic, complemented
14#19141107C211yesmaximal, characteristic, complemented
15#19141107C211yesmaximal, characteristic, complemented
16#19141076C211yesmaximal, characteristic, complemented
17#19141015C211yesmaximal, characteristic, complemented
18#19140950C211yesmaximal, characteristic, complemented
19#19140568C211yesmaximal, characteristic, complemented
20#19140551C211yesmaximal, characteristic, complemented
21#19139100C211yesmaximal, characteristic, complemented
22#19138848C211yesmaximal, characteristic, complemented
23#19138415C211yesmaximal, characteristic, complemented
24#19138063C211yesmaximal, characteristic, complemented
25#19137985C211yesmaximal, characteristic, complemented
26#19137963C211yesmaximal, characteristic
27#19137923C211yesmaximal, characteristic, complemented
28#19137250C211yesmaximal, characteristic, complemented
29#19137207C211yesmaximal, characteristic, complemented
30C2×#14582775C211yesmaximal, characteristic, complemented
31C43×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063320C2211yescharacteristic, complemented
35C2×#13063310C2211yescharacteristic, complemented
36C2×#13063310C2211yescharacteristic, complemented
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063309C2211yescharacteristic
39C2×#13063309C2211yescharacteristic
40C2×#13063309C2211yescharacteristic, complemented
41C2×#13063301C2211yescharacteristic, complemented
42C2×#13063301C2211yescharacteristic, complemented
43C2×#13063299C2211yescharacteristic
44C2×#13063299C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063294C2211yescharacteristic
47C2×(C22⋊D43)⋊C4C2211yescharacteristic
48C22×C22⋊Dic43C2211yescharacteristic
49C22×C22⋊Dic43C2211yescharacteristic
50C22×(C2×D43)⋊C4C2211yescharacteristic
51C43⋊#401C2211yescharacteristic, complemented
52#14582841C2211yescharacteristic, complemented
53#14582841C2211yescharacteristic, complemented
54#14582841C2211yescharacteristic, complemented
55#14582841C2211yescharacteristic, complemented
56#14582838C2211yescharacteristic, complemented
57#14582838C2211yescharacteristic, complemented
58#14582838C2211yescharacteristic, complemented
59#14582838C2211yescharacteristic, complemented
60#14582838C2211yescharacteristic, complemented
61#14582837C2211yescharacteristic, complemented
62#14582837C2211yescharacteristic, complemented
63#14582834C2211yescharacteristic, complemented
64#14582832C2211yescharacteristic, complemented
65#14582832C2211yescharacteristic, complemented
66#14582832C2211yescharacteristic, complemented
67#14582831C2211yescharacteristic, complemented
68#14582831C2211yescharacteristic, complemented
69#14582831C2211yescharacteristic, complemented
70#14582828C2211yescharacteristic, complemented
71#14582828C2211yescharacteristic, complemented
72#14582828C2211yescharacteristic, complemented
73#14582826C2211yescharacteristic, complemented
74#14582826C2211yescharacteristic, complemented
75#14582825C2211yescharacteristic, complemented
76#14582825C2211yescharacteristic, complemented
77#14582824C2211yescharacteristic, complemented
78#14582824C2211yescharacteristic, complemented
79#14582821C2211yescharacteristic, complemented
80#14582821C2211yescharacteristic, complemented
81#14582821C2211yescharacteristic, complemented
82#14582817C2211yescharacteristic, complemented
83#14582816C2211yescharacteristic, complemented
84#14582815C2211yescharacteristic
85#14582815C2211yescharacteristic
86#14582815C2211yescharacteristic
87#14582815C2211yescharacteristic
88#14582815C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582815C2211yescharacteristic, complemented
91#14582815C2211yescharacteristic, complemented
92#14582810C2211yescharacteristic, complemented
93#14582808C2211yescharacteristic
94#14582808C2211yescharacteristic
95#14582806C2211yescharacteristic, complemented
96#14582799C2211yescharacteristic, complemented
97#14582799C2211yescharacteristic, complemented
98#14582798C2211yescharacteristic, complemented
99#14582793C2211yescharacteristic, complemented
100#14582793C2211yescharacteristic, complemented
101#14582791C2211yescharacteristic, complemented
102#14582789C2211yescharacteristic, complemented
103#14582789C2211yescharacteristic, complemented
104#14582788C2211yescharacteristic, complemented
105#14582788C2211yescharacteristic, complemented
106#14582787C2211yescharacteristic, complemented
107#14582787C2211yescharacteristic, complemented
108#14582786C2211yescharacteristic, complemented
109#14582782C2211yescharacteristic, complemented
110#14582780C2211yescharacteristic, complemented
111#14582778C2211yescharacteristic
112#14582778C2211yescharacteristic
113#14582778C2211yescharacteristic
114#14582778C2211yescharacteristic
115#14582777C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic, complemented
117#14582777C2211yescharacteristic, complemented
118#14582776C2211yescharacteristic
119#14582776C2211yescharacteristic
120#14582776C2211yescharacteristic
121#14582776C2211yescharacteristic
122#14582776C2211yescharacteristic, complemented
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic, complemented
132#14582775C2211yescharacteristic, complemented
133#14582774C2211yescharacteristic
134#14582774C2211yescharacteristic
135#14582774C2211yescharacteristic
136#14582774C2211yescharacteristic, complemented
137#14582772C2211yescharacteristic, complemented
138#14582772C2211yescharacteristic, complemented
139#14582772C2211yescharacteristic, complemented
140#14582772C2211yescharacteristic, complemented
141#14582771C2211yescharacteristic
142#14582771C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582771C2211yescharacteristic
146#14582770C2211yescharacteristic, complemented
147#14582770C2211yescharacteristic, complemented
148#14582770C2211yescharacteristic, complemented
149#14582770C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic, complemented
153#14582764C2211yescharacteristic, complemented
154#14582761C2211yescharacteristic, complemented
155#14582761C2211yescharacteristic, complemented
156#14582760C2211yescharacteristic, complemented
157#14582759C2211yescharacteristic
158#14582759C2211yescharacteristic
159#14582757C2211yescharacteristic, complemented
160#14582757C2211yescharacteristic, complemented
161#14582757C2211yescharacteristic, complemented
162#14582757C2211yescharacteristic, complemented
163#14582756C2211yescharacteristic, complemented
164#14582756C2211yescharacteristic, complemented
165#14582756C2211yescharacteristic, complemented
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C43C2211yescharacteristic
173C2×C22⋊Q8×C43C2211yescharacteristic, complemented
174C22×C22⋊C4×C43C2211yescharacteristic
175C22×C22⋊C4×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic, complemented
183C43×#385C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic
185C43×#380C2211yescharacteristic, complemented
186C43×#379C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43—24no—
191C22×C22⋊D43—42no—
192C22×C22⋊D43—42no—
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43—42no—
206C22×C4×D43—42no—
207C22×C4×D43—42no—
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213#13063320—42no—
214#13063310—42no—
215#13063310—42no—
216#13063310—42no—
217#13063309—42no—
218#13063309—42no—
219#13063309—42no—
220#13063301—42no—
221#13063301—42no—
222#13063299—42no—
223#13063299—42no—
224#13063295—42no—
225#13063294—24no—
226(C22⋊D43)⋊C4—42no—
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×C22⋊Dic43—24no—
249C2×C22⋊Dic43—42no—
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C25×C43C2311yescharacteristic
331C22×Q8×C43C2311yescharacteristic
332C23×C4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C22⋊Q8×C43—42no—
337C22⋊Q8×C43—42no—
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43—42no—
348C2×C22⋊C4×C43—42no—
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43—22no—
370C24×C43—22no—
371C24×C43—41no—
372C24×C43—41no—
373C24×C43—41no—
374C24×C43—41no—
375C24×C43#4114yes—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C2×Q8×C43—22no—
390C2×Q8×C43—41no—
391C2×Q8×C43—41no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—416no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43—41no—
448C22×Dic43—41no—
449C22×Dic43—41no—
450C22×Dic43—41no—
451C22×Dic43—41no—
452C22×Dic43—41no—
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C2×D172—22no—
467C2×D172—22no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—416no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549C4⋊Dic43—22no—
550C4⋊Dic43—41no—
551C4⋊Dic43—41no—
552C4⋊Dic43—41no—
553C4⋊Dic43—41no—
554C4⋊Dic43—41no—
555C4⋊Dic43—41no—
556C4⋊Dic43—41no—
557C4⋊Dic43—41no—
558C4⋊Dic43—41no—
559Dic43⋊C4—41no—
560Dic43⋊C4—41no—
561Dic43⋊C4—41no—
562Dic43⋊C4—41no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C4×Dic43—41no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—28no—
590C23×C43—44no—
591C23×C43—44no—
592C23×C43—82no—
593C23×C43—82no—
594C23×C43—82no—
595C23×C43—82no—
596C23×C43C2×#4112yes—
597C23×C43C2×#4112yes—
598C23×C43C2×#4112yes—
599C23×C43H(5,𝔽2)12yes—
600C23×C432−1+412yes—
601C23×C43C2511yescharacteristic
602C22×D43—28no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—44no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43—44no—
626C22×D43—44no—
627C22×D43—44no—
628C22×D43H(5,𝔽2)12yes—
629C22×D43H(5,𝔽2)12yes—
630Q8×C43—82no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—44no—
667C2×C4×C43—82no—
668C2×C4×C43—82no—
669C2×C4×C43—82no—
670C2×C4×C43H(5,𝔽2)12yes—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C22⋊D43—44no—
674C22⋊D43—44no—
675C22⋊D43—44no—
676C22⋊D43—82no—
677C22⋊D43—82no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—44no—
718C2×Dic43—44no—
719C2×Dic43—82no—
720C2×Dic43—82no—
721C2×Dic43—82no—
722D172—82no—
723D172—82no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728C4×D43—82no—
729#36775—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—88no—
751C22×C43#53914yes—
752C22×C43C22×#4111yescharacteristic
753C22×C43C2×H(5,𝔽2)11yescharacteristic
754C22×C43C2×H(5,𝔽2)11yescharacteristic
755C22×C43C2×H(5,𝔽2)11yescharacteristic
756C22×C43C2×H(5,𝔽2)11yescharacteristic
757C22×C43C2×2−1+411yescharacteristic
758C22×C43#58511yescharacteristic
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—22no—
764C2×D43—22no—
765C2×D43—416no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C4×C43—22no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806#2849—431no—
807#2848—431no—
808#2782—431no—
809#2750—431no—
810#2746—431no—
811#2746—431no—
812#2743—431no—
813#2728—431no—
814#2708—431no—
815#2708—431no—
816#2706—431no—
817#2696—431no—
818#2695—431no—
819#2693—431no—
820#2693—431no—
821#2691—431no—
822#2687—431no—
823#2681—431no—
824#2646—431no—
825#2643—431no—
826#2505—431no—
827#2480—431no—
828#2450—431no—
829#2437D4311yescharacteristic, complemented
830#2418—431no—
831#2412—431no—
832#2410—431no—
833#2405—431no—
834#2321—431no—
835#2315—431no—
836C2×#386—431no—
837C2×C43—24no—
838C2×C43—42no—
839C2×C43—42no—
840C2×C43C2×#53911yescharacteristic
841C2×C43#349011yescharacteristic
842C2×C43#350511yescharacteristic
843C2×C43#353211yescharacteristic
844C2×C43#353411yescharacteristic
845C2×C43#353511yescharacteristic
846C2×C43#353611yescharacteristic
847D43—42no—
848D43—42no—
849D43—81no—
850C23×D4—431no—
851C24×C4—431no—
852C2×#126—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
857C2×#123—431no—
858C2×#123—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8—431no—
861C2×C22⋊Q8C2×D4311yescharacteristic
862C2×C22⋊Q8C2×D4311yescharacteristic, complemented
863C2×#121—431no—
864C2×#121—431no—
865C2×#120—431no—
866C2×#120—431no—
867C2×C4×D4—431no—
868C22×C22⋊C4—431no—
869C22×C22⋊C4—431no—
870C22×C22⋊C4—431no—
871C22×C22⋊C4C2×D4311yescharacteristic
872C22×C22⋊C4C2×D4311yescharacteristic
873#401—431no—
874#400—431no—
875#400—431no—
876#400—431no—
877#400—431no—
878#400—431no—
879#400—431no—
880#400—431no—
881#400—431no—
882#400—431no—
883#400—431no—
884#400—431no—
885#399—431no—
886#399C2×D4311yescharacteristic, complemented
887#398—431no—
888#398—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#397—431no—
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397—431no—
899#397—431no—
900#397—431no—
901#397—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#396C2×D4311yescharacteristic, complemented
906#396C2×D4311yescharacteristic, complemented
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#394—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#393—431no—
918#393C2×D4311yescharacteristic, complemented
919#392—431no—
920#392—431no—
921#391—431no—
922#390—431no—
923#390—431no—
924#389—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#387—431no—
935#387—431no—
936#387—431no—
937#386—431no—
938#386—431no—
939#386—431no—
940#386—431no—
941#386—431no—
942#386—431no—
943#386—431no—
944#386—431no—
945#386—431no—
946#386—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385C2×D4311yescharacteristic
980#385C2×D4311yescharacteristic
981#385C2×D4311yescharacteristic, complemented
982#385C2×D4311yescharacteristic, complemented
983#382—431no—
984#381—431no—
985#381—431no—
986#381—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380—431no—
991#380—431no—
992#380—431no—
993#380—431no—
994#380—431no—
995#380—431no—
996#380C2×D4311yescharacteristic
997#380C2×D4311yescharacteristic, complemented
998#379—431no—
999#379—431no—
1000#379—431no—
1001#379C2×D4311yescharacteristic
1002C4×C22⋊C4—431no—
1003C2×#95—431no—
1004C2×#95—431no—
1005C43#3677511yescharacteristic, complemented, Sylow
1006C25—431no—
1007C25C22×D4311yescharacteristic
1008C22×Q8C22×D4311yescharacteristic
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4—431no—
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—431no—
1016C22×D4—431no—
1017C22×D4—431no—
1018C22×D4—864no—
1019C22×D4—1722no—
1020C22×D4—1722no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4—431no—
1025C23×C4—431no—
1026C23×C4—431no—
1027C23×C4—431no—
1028C23×C4—431no—
1029C23×C4—431no—
1030C23×C4—431no—
1031C23×C4—1722no—
1032C23×C4—1722no—
1033C23×C4—1722no—
1034C23×C4C22×D4311yescharacteristic
1035C23×C4C22×D4311yescharacteristic
1036C23×C4C22×D4311yescharacteristic
1037C23×C4C22×D4311yescharacteristic
1038#126—1722no—
1039#123—1722no—
1040#123—1722no—
1041#123—1722no—
1042#123—1722no—
1043#123—1722no—
1044#123—1722no—
1045C22⋊Q8—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—1722no—
1048C22⋊Q8—1722no—
1049#121—1722no—
1050#121—1722no—
1051#120—864no—
1052#120—1722no—
1053C4×D4—1722no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4C22×D4311yescharacteristic
1076C2×C4⋊C4C22×D4311yescharacteristic
1077C2×C4⋊C4C22×D4311yescharacteristic
1078C2×C4⋊C4C22×D4311yescharacteristic
1079C2×C4⋊C4C22×D4311yescharacteristic
1080C2×C4⋊C4C22×D4311yescharacteristic
1081C2×C4⋊C4C22×D4311yescharacteristic
1082C2×C4⋊C4C22×D4311yescharacteristic
1083C2×C4⋊C4C22×D4311yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—864no—
1125C2×C22⋊C4—1722no—
1126C2×C22⋊C4—1722no—
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95C22×D4311yescharacteristic
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—431no—
1195C24—431no—
1196C24—431no—
1197C24—862no—
1198C24—862no—
1199C24—862no—
1200C24—862no—
1201C24—862no—
1202C24—1721no—
1203C24—1721no—
1204C24#1062190214yes—
1205C24C23×D4311yescharacteristic
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—862no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C2×D4—1721no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—17216no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—431no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4—1721no—
1278C22×C4—1721no—
1279C22×C4—1721no—
1280C22×C4—1721no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—17216no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4—1721no—
1290C22×C4—1721no—
1291C22×C4—1721no—
1292C22×C4—1721no—
1293C22×C4—1721no—
1294C22×C4—1721no—
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4311yescharacteristic
1303C22×C4C23×D4311yescharacteristic
1304C22×C4C23×D4311yescharacteristic
1305C22×C4C23×D4311yescharacteristic
1306C22×C4C23×D4311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—862no—
1317C4⋊C4—1721no—
1318C4⋊C4—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C4⋊C4—1721no—
1322C4⋊C4—1721no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C4⋊C4—1721no—
1334C4⋊C4—1721no—
1335C4⋊C4—1721no—
1336C4⋊C4—1721no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C42—1721no—
1390C42—1721no—
1391C42—1721no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—432no—
1416C23—432no—
1417C23—868no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—1724no—
1438C23—1724no—
1439C23—1724no—
1440C23—1724no—
1441C23—1724no—
1442C23—1724no—
1443C23C2×#1062190212yes—
1444C23C2×#1062190212yes—
1445C23C2×#1062190212yes—
1446C23#1306337012yes—
1447C23#1306337212yes—
1448C23C24×D4311yescharacteristic
1449Q8—82no—
1450D4—3442no—
1451D4—3442no—
1452D4—3442no—
1453D4—3442no—
1454D4—1724no—
1455D4—1724no—
1456D4—1724no—
1457D4—1724no—
1458D4—1724no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—3442no—
1538C2×C4—3442no—
1539C2×C4—3442no—
1540C2×C4—3442no—
1541C2×C4—1724no—
1542C2×C4—1724no—
1543C2×C4—1724no—
1544C2×C4—1724no—
1545C2×C4—1724no—
1546C2×C4—1724no—
1547C2×C4#1306337012yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—88no—
1569C22—862no—
1570C22—862no—
1571C22—862no—
1572C22—862no—
1573C22—862no—
1574C22—862no—
1575C22—17216no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22—1721no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
1587C22—1721no—
1588C22—1721no—
1589C22—1721no—
1590C22—1721no—
1591C22#1458349814yes—
1592C22C22×#1062190211yescharacteristic
1593C22H(5,𝔽2)×D4311yescharacteristic
1594C22H(5,𝔽2)×D4311yescharacteristic
1595C22C2×#1306337011yescharacteristic
1596C22C2×#1306337011yescharacteristic
1597C22C2×#1306337211yescharacteristic
1598C22#1458373511yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—3441no—
1628C2—1722no—
1629C2—1722no—
1630C2C2×#1458349811yescharacteristic
1631C2#1914828511yescharacteristic
1632C2#1914843611yescharacteristic
1633C2#1914874511yescharacteristic
1634C2#1914877711yescharacteristic
1635C2#1914879111yescharacteristic
1636C2#1914881511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2437C2
prime radical#19137963C2
hypercenter#2437D43
hypocenterC43#36775
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142879C2semidirect
3. #19142267C2semidirect
4. #19141834C2semidirect
5. #19141785C2semidirect
6. #19141774C2semidirect
7. #19141740C2semidirect
8. #19141562C2semidirect
9. #19141314C2semidirect
10. #19141314C2semidirect
11. #19141282C2semidirect
12. #19141152C2semidirect
13. #19141137C2semidirect
14. #19141107C2semidirect
15. #19141107C2semidirect
16. #19141076C2semidirect
17. #19141015C2semidirect
18. #19140950C2semidirect
19. #19140568C2semidirect
20. #19140551C2semidirect
21. #19139100C2semidirect
22. #19138848C2semidirect
23. #19138415C2semidirect
24. #19138063C2semidirect
25. #19137985C2semidirect
27. #19137923C2semidirect
28. #19137250C2semidirect
29. #19137207C2semidirect
30. C2×#14582775C2semidirect
31. C43×#2437C2semidirect
34. C2×#13063320C22semidirect
35. C2×#13063310C22semidirect
36. C2×#13063310C22semidirect
37. C2×#13063310C22semidirect
40. C2×#13063309C22semidirect
41. C2×#13063301C22semidirect
42. C2×#13063301C22semidirect
51. C43⋊#401C22semidirect
52. #14582841C22semidirect
53. #14582841C22semidirect
54. #14582841C22semidirect
55. #14582841C22semidirect
56. #14582838C22semidirect
57. #14582838C22semidirect
58. #14582838C22semidirect
59. #14582838C22semidirect
60. #14582838C22semidirect
61. #14582837C22semidirect
62. #14582837C22semidirect
63. #14582834C22semidirect
64. #14582832C22semidirect
65. #14582832C22semidirect
66. #14582832C22semidirect
67. #14582831C22semidirect
68. #14582831C22semidirect
69. #14582831C22semidirect
70. #14582828C22semidirect
71. #14582828C22semidirect
72. #14582828C22semidirect
73. #14582826C22semidirect
74. #14582826C22semidirect
75. #14582825C22semidirect
76. #14582825C22semidirect
77. #14582824C22semidirect
78. #14582824C22semidirect
79. #14582821C22semidirect
80. #14582821C22semidirect
81. #14582821C22semidirect
82. #14582817C22semidirect
83. #14582816C22semidirect
90. #14582815C22semidirect
91. #14582815C22semidirect
92. #14582810C22semidirect
95. #14582806C22semidirect
96. #14582799C22semidirect
97. #14582799C22semidirect
98. #14582798C22semidirect
99. #14582793C22semidirect
100. #14582793C22semidirect
101. #14582791C22semidirect
102. #14582789C22semidirect
103. #14582789C22semidirect
104. #14582788C22semidirect
105. #14582788C22semidirect
106. #14582787C22semidirect
107. #14582787C22semidirect
108. #14582786C22semidirect
109. #14582782C22semidirect
110. #14582780C22semidirect
115. #14582777C22semidirect
116. #14582777C22semidirect
117. #14582777C22semidirect
122. #14582776C22semidirect
131. #14582775C22semidirect
132. #14582775C22semidirect
136. #14582774C22semidirect
137. #14582772C22semidirect
138. #14582772C22semidirect
139. #14582772C22semidirect
140. #14582772C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582770C22semidirect
149. #14582770C22semidirect
150. #14582770C22semidirect
151. #14582770C22semidirect
152. #14582770C22semidirect
153. #14582764C22semidirect
154. #14582761C22semidirect
155. #14582761C22semidirect
156. #14582760C22semidirect
159. #14582757C22semidirect
160. #14582757C22semidirect
161. #14582757C22semidirect
162. #14582757C22semidirect
163. #14582756C22semidirect
164. #14582756C22semidirect
165. #14582756C22semidirect
173. C2×C22⋊Q8×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#396C22semidirect
178. C43×#396C22semidirect
179. C43×#393C22semidirect
182. C43×#385C22semidirect
183. C43×#385C22semidirect
185. C43×#380C22semidirect
829. #2437D43semidirect
862. C2×C22⋊Q8C2×D43semidirect
886. #399C2×D43semidirect
905. #396C2×D43semidirect
906. #396C2×D43semidirect
918. #393C2×D43semidirect
981. #385C2×D43semidirect
982. #385C2×D43semidirect
997. #380C2×D43semidirect
1005. C43#36775semidirect

Maximal subgroups

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

subgroupindex
#191428902
#191428792
#191422672
#191418342
#191417852
#191417742
#191417402
#191415622
#191413142
#191412822
#191411522
#191411372
#191411072
#191410762
#191410152
#191409502
#191405682
#191405512
#191391002
#191388482
#191384152
#191380632
#191379852
#191379632
#191379232
#191372502
#191372072
C2×#145827752
C43×#24372
#3677543