Finite Group Databasebeta

← #25305445

Subgroups — #25305445

Order 11008.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142885C211yesmaximal, characteristic, complemented
2#19142880C211yesmaximal, characteristic, complemented
3#19142435C211yesmaximal, characteristic, complemented
4#19141980C211yesmaximal, characteristic, complemented
5#19141925C211yesmaximal, characteristic, complemented
6#19141854C211yesmaximal, characteristic, complemented
7#19141656C211yesmaximal, characteristic, complemented
8#19141585C211yesmaximal, characteristic, complemented
9#19141518C211yesmaximal, characteristic, complemented
10#19141405C211yesmaximal, characteristic, complemented
11#19141361C211yesmaximal, characteristic, complemented
12#19141343C211yesmaximal, characteristic, complemented
13#19141271C211yesmaximal, characteristic, complemented
14#19141206C211yesmaximal, characteristic, complemented
15#19141191C211yesmaximal, characteristic, complemented
16#19141069C211yesmaximal, characteristic, complemented
17#19140995C211yesmaximal, characteristic, complemented
18#19140848C211yesmaximal, characteristic, complemented
19#19140402C211yesmaximal, characteristic, complemented
20#19140372C211yesmaximal, characteristic, complemented
21#19139779C211yesmaximal, characteristic, complemented
22#19139603C211yesmaximal, characteristic, complemented
23#19138841C211yesmaximal, characteristic, complemented
24#19138835C211yesmaximal, characteristic, complemented
25#19138723C211yesmaximal, characteristic, complemented
26#19138244C211yesmaximal, characteristic, complemented
27#19137948C211yesmaximal, characteristic
28#19137323C211yesmaximal, characteristic, complemented
29#19137221C211yesmaximal, characteristic, complemented
30C2×#14582776C211yesmaximal, characteristic, complemented
31C43×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C24×Dic43C2211yescharacteristic
34C2×#13063319C2211yescharacteristic, complemented
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063311C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063306C2211yescharacteristic, complemented
40C2×#13063306C2211yescharacteristic, complemented
41C2×#13063302C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063302C2211yescharacteristic, complemented
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C2×D4×Dic43C2211yescharacteristic
49C22×(C2×D43)⋊C4C2211yescharacteristic
50C22×(C2×D43)⋊C4C2211yescharacteristic
51#14582841C2211yescharacteristic, complemented
52#14582835C2211yescharacteristic, complemented
53#14582834C2211yescharacteristic, complemented
54#14582834C2211yescharacteristic, complemented
55#14582830C2211yescharacteristic, complemented
56#14582829C2211yescharacteristic, complemented
57#14582828C2211yescharacteristic, complemented
58#14582828C2211yescharacteristic, complemented
59#14582828C2211yescharacteristic, complemented
60#14582828C2211yescharacteristic, complemented
61#14582828C2211yescharacteristic, complemented
62#14582828C2211yescharacteristic, complemented
63#14582827C2211yescharacteristic, complemented
64#14582827C2211yescharacteristic, complemented
65#14582826C2211yescharacteristic, complemented
66#14582826C2211yescharacteristic, complemented
67#14582824C2211yescharacteristic, complemented
68#14582823C2211yescharacteristic, complemented
69#14582822C2211yescharacteristic, complemented
70#14582821C2211yescharacteristic, complemented
71#14582821C2211yescharacteristic, complemented
72#14582821C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582820C2211yescharacteristic, complemented
75#14582819C2211yescharacteristic, complemented
76#14582818C2211yescharacteristic, complemented
77#14582815C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582815C2211yescharacteristic
81#14582815C2211yescharacteristic, complemented
82#14582815C2211yescharacteristic, complemented
83#14582815C2211yescharacteristic, complemented
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic, complemented
87#14582814C2211yescharacteristic, complemented
88#14582814C2211yescharacteristic, complemented
89#14582812C2211yescharacteristic, complemented
90#14582811C2211yescharacteristic, complemented
91#14582810C2211yescharacteristic, complemented
92#14582810C2211yescharacteristic, complemented
93#14582807C2211yescharacteristic
94#14582807C2211yescharacteristic
95#14582806C2211yescharacteristic, complemented
96#14582805C2211yescharacteristic, complemented
97#14582804C2211yescharacteristic, complemented
98#14582803C2211yescharacteristic, complemented
99#14582799C2211yescharacteristic
100#14582799C2211yescharacteristic
101#14582799C2211yescharacteristic
102#14582799C2211yescharacteristic
103#14582799C2211yescharacteristic, complemented
104#14582797C2211yescharacteristic, complemented
105#14582796C2211yescharacteristic, complemented
106#14582794C2211yescharacteristic, complemented
107#14582794C2211yescharacteristic, complemented
108#14582793C2211yescharacteristic, complemented
109#14582793C2211yescharacteristic, complemented
110#14582792C2211yescharacteristic, complemented
111#14582791C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582790C2211yescharacteristic, complemented
114#14582790C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582786C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582783C2211yescharacteristic, complemented
123#14582782C2211yescharacteristic, complemented
124#14582782C2211yescharacteristic, complemented
125#14582782C2211yescharacteristic, complemented
126#14582779C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic, complemented
129#14582779C2211yescharacteristic, complemented
130#14582776C2211yescharacteristic
131#14582776C2211yescharacteristic
132#14582776C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582774C2211yescharacteristic
139#14582774C2211yescharacteristic, complemented
140#14582774C2211yescharacteristic, complemented
141#14582774C2211yescharacteristic, complemented
142#14582772C2211yescharacteristic
143#14582772C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582771C2211yescharacteristic
146#14582771C2211yescharacteristic
147#14582771C2211yescharacteristic, complemented
148#14582771C2211yescharacteristic, complemented
149#14582771C2211yescharacteristic, complemented
150#14582771C2211yescharacteristic, complemented
151#14582771C2211yescharacteristic, complemented
152#14582766C2211yescharacteristic, complemented
153#14582763C2211yescharacteristic, complemented
154#14582760C2211yescharacteristic, complemented
155#14582760C2211yescharacteristic, complemented
156#14582760C2211yescharacteristic, complemented
157#14582759C2211yescharacteristic
158#14582757C2211yescharacteristic
159#14582757C2211yescharacteristic
160#14582757C2211yescharacteristic, complemented
161#14582757C2211yescharacteristic, complemented
162#14582757C2211yescharacteristic, complemented
163#14582755C2211yescharacteristic
164#14582755C2211yescharacteristic
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#124×C43C2211yescharacteristic, complemented
173C2×C22⋊Q8×C43C2211yescharacteristic
174C2×#120×C43C2211yescharacteristic
175C22×C22⋊C4×C43C2211yescharacteristic
176C43×#397C2211yescharacteristic, complemented
177C43×#394C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic, complemented
180C43×#390C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#379C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
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
199C23×Dic43—42no—
200C23×Dic43—42no—
201C23×Dic43—42no—
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210#13063319—42no—
211#13063318—42no—
212#13063311—42no—
213#13063311—42no—
214#13063311—42no—
215#13063306—42no—
216#13063306—42no—
217#13063302—24no—
218#13063302—42no—
219#13063302—42no—
220#13063302—42no—
221#13063297—42no—
222#13063297—42no—
223#13063293—42no—
224D4×Dic43—24no—
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×(C2×D43)⋊C4—42no—
268C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
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
332C22×D4×C43C2311yescharacteristic
333C22×D4×C43C2311yescharacteristic
334C22×D4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C23×C4×C43C2311yescharacteristic
337#124×C43—42no—
338C22⋊Q8×C43—42no—
339#120×C43—42no—
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43—42no—
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
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×C42×C43C2311yescharacteristic
362C2×C42×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—22no—
372C24×C43—22no—
373C24×C43—22no—
374C24×C43—41no—
375C24×C43—41no—
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C24×C43C2411yescharacteristic
379C24×C43C2411yescharacteristic
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—41no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43—41no—
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C2×Q8×C43—41no—
390C2×Q8×C43—41no—
391C2×Q8×C43—41no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
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
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
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—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
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—416no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
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×Dic43—41no—
454C22×Dic43—41no—
455C22×Dic43—41no—
456C22×Dic43—41no—
457C22×Dic43—41no—
458C22×Dic43—41no—
459C22×Dic43—41no—
460C22×Dic43—416no—
461C22×Dic43#4114yes—
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C2×Dic86—22no—
477C2×Dic86—22no—
478C2×Dic86—41no—
479C2×Dic86—41no—
480C2×Dic86—41no—
481C2×Dic86—41no—
482C4⋊C4×C43—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—41no—
493C22⋊C4×C43—41no—
494C22⋊C4×C43—41no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43—41no—
498C22⋊C4×C43—41no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C42×C43—41no—
503C42×C43—41no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—22no—
507C22⋊Dic43—22no—
508C22⋊Dic43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—41no—
515C22⋊Dic43—41no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
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—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—41no—
546C4⋊Dic43—41no—
547C4⋊Dic43—41no—
548C4⋊Dic43—41no—
549C4⋊Dic43—41no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557Dic43⋊C4—41no—
558Dic43⋊C4—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—
568C4×Dic43—22no—
569C4×Dic43—41no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C4×Dic43—41no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—28no—
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—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—44no—
598C23×C43—44no—
599C23×C43—44no—
600C23×C43—44no—
601C23×C43—44no—
602C23×C43—44no—
603C23×C43C2×#4112yes—
604C23×C43H(5,𝔽2)12yes—
605C23×C43H(5,𝔽2)12yes—
606C23×C43H(5,𝔽2)12yes—
607C23×C432−1+412yes—
608C23×C43C2511yescharacteristic
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—21no—
623C22×D43—44no—
624C22×D43—44no—
625C22×D43—44no—
626C22×D43—82no—
627C22×D43—82no—
628C22×D43—82no—
629C22×D43—82no—
630Q8×C43—82no—
631D4×C43—44no—
632D4×C43—82no—
633D4×C43—82no—
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—21no—
667C2×C4×C43—82no—
668C2×C4×C43—82no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C22⋊D43—82no—
674C22⋊D43—82no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
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—44no—
715C2×Dic43—44no—
716C2×Dic43—44no—
717C2×Dic43—44no—
718C2×Dic43—44no—
719C2×Dic43—44no—
720C2×Dic43—44no—
721C2×Dic43—82no—
722C2×Dic43C2×#4112yes—
723C2×Dic43C2×#4112yes—
724C2×Dic43H(5,𝔽2)12yes—
725Dic86—82no—
726Dic86—82no—
727#36793—431nomaximal, Sylow
728C22×C43—22no—
729C22×C43—22no—
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—416no—
741C22×C43—41no—
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—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43#54214yes—
757C22×C43C22×#4111yescharacteristic
758C22×C43C2×H(5,𝔽2)11yescharacteristic
759C22×C43C2×H(5,𝔽2)11yescharacteristic
760C22×C43C2×H(5,𝔽2)11yescharacteristic
761C22×C43C2×H(5,𝔽2)11yescharacteristic
762C22×C43C2×2−1+411yescharacteristic
763C22×C43#58511yescharacteristic
764C2×D43—41no—
765C2×D43—41no—
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—88no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790Dic43—22no—
791Dic43—22no—
792Dic43—22no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804#2849—431no—
805#2848—431no—
806#2796—431no—
807#2761—431no—
808#2757—431no—
809#2751—431no—
810#2737—431no—
811#2730—431no—
812#2723—431no—
813#2715—431no—
814#2712—431no—
815#2710—431no—
816#2705—431no—
817#2701—431no—
818#2700—431no—
819#2691—431no—
820#2686—431no—
821#2672—431no—
822#2626—431no—
823#2622—431no—
824#2564—431no—
825#2549—431no—
826#2480—431no—
827#2480—431no—
828#2472—431no—
829#2472D4311yescharacteristic, complemented
830#2435—431no—
831#2408—431no—
832#2329—431no—
833#2318—431no—
834C2×#386—431no—
835C2×C43—24no—
836C2×C43—42no—
837C2×C43—42no—
838C2×C43—81no—
839C2×C43C2×#54211yescharacteristic
840C2×C43#349011yescharacteristic
841C2×C43#350611yescharacteristic
842C2×C43#353211yescharacteristic
843C2×C43#353411yescharacteristic
844C2×C43#353511yescharacteristic
845C2×C43#353611yescharacteristic
846D43—81no—
847D43—81no—
848C23×D4—431no—
849C24×C4—431no—
850C2×#126—431no—
851C2×#126—431no—
852C2×#124—431no—
853C2×#124—431no—
854C2×#124—431no—
855C2×#124C2×D4311yescharacteristic, complemented
856C2×#123—431no—
857C2×#123—431no—
858C2×C22⋊Q8—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8—431no—
861C2×C22⋊Q8—431no—
862C2×C22⋊Q8C2×D4311yescharacteristic
863C2×#121—431no—
864C2×#121—431no—
865C2×#120—431no—
866C2×#120C2×D4311yescharacteristic
867C2×C4×D4—431no—
868C22×C22⋊C4—431no—
869C22×C22⋊C4—431no—
870C22×C22⋊C4C2×D4311yescharacteristic
871#400—431no—
872#399—431no—
873#399—431no—
874#399—431no—
875#398—431no—
876#398—431no—
877#397—431no—
878#397—431no—
879#397—431no—
880#397—431no—
881#397—431no—
882#397—431no—
883#397—431no—
884#397—431no—
885#397—431no—
886#397—431no—
887#397—431no—
888#397C2×D4311yescharacteristic, complemented
889#396—431no—
890#396—431no—
891#396—431no—
892#396—431no—
893#396—431no—
894#396—431no—
895#395—431no—
896#395—431no—
897#395—431no—
898#394—431no—
899#394—431no—
900#394—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#394—431no—
905#394—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394C2×D4311yescharacteristic, complemented
911#394C2×D4311yescharacteristic, complemented
912#393—431no—
913#393—431no—
914#393—431no—
915#393—431no—
916#393C2×D4311yescharacteristic, complemented
917#392—431no—
918#392—431no—
919#391—431no—
920#391—431no—
921#391—431no—
922#391—431no—
923#390—431no—
924#390—431no—
925#390—431no—
926#390—431no—
927#390—431no—
928#390C2×D4311yescharacteristic, complemented
929#389—431no—
930#389—431no—
931#389—431no—
932#389—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388C2×D4311yescharacteristic, complemented
944#388C2×D4311yescharacteristic, complemented
945#387—431no—
946#387—431no—
947#387—431no—
948#387—431no—
949#387—431no—
950#387—431no—
951#387—431no—
952#387—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386C2×D4311yescharacteristic
966#386C2×D4311yescharacteristic
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#385—431no—
980#385—431no—
981#383—431no—
982#382—431no—
983#381—431no—
984#381—431no—
985#381—431no—
986#380—431no—
987#380—431no—
988#380—431no—
989#380—431no—
990#380—431no—
991#380—431no—
992#379—431no—
993#379—431no—
994#379—431no—
995#379—431no—
996#379—431no—
997#379C2×D4311yescharacteristic
998C4×C22⋊C4—431no—
999C4×C22⋊C4—431no—
1000C4×C22⋊C4C2×D4311yescharacteristic
1001C2×#95—431no—
1002C2×#95—431no—
1003C43#3679311yescharacteristic, complemented, Sylow
1004C25—431no—
1005C25C22×D4311yescharacteristic
1006C22×Q8—431no—
1007C22×Q8—431no—
1008C22×Q8C22×D4311yescharacteristic
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4—431no—
1012C22×D4—431no—
1013C22×D4—431no—
1014C22×D4—431no—
1015C22×D4—864no—
1016C22×D4—1722no—
1017C22×D4—1722no—
1018C22×D4C22×D4311yescharacteristic
1019C22×D4C22×D4311yescharacteristic
1020C22×D4C22×D4311yescharacteristic
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—1722no—
1030C23×C4—1722no—
1031C23×C4—1722no—
1032C23×C4C22×D4311yescharacteristic
1033C23×C4C22×D4311yescharacteristic
1034#126—1722no—
1035#126—1722no—
1036#124—42no—
1037#124—1722no—
1038#124—1722no—
1039#124—1722no—
1040#123—1722no—
1041#123—1722no—
1042C22⋊Q8—42no—
1043C22⋊Q8—864no—
1044C22⋊Q8—1722no—
1045C22⋊Q8—1722no—
1046C22⋊Q8—1722no—
1047#121—1722no—
1048#121—1722no—
1049#120—42no—
1050#120—1722no—
1051C4×D4—864no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
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⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4C22×D4311yescharacteristic
1078C2×C4⋊C4C22×D4311yescharacteristic
1079C2×C4⋊C4C22×D4311yescharacteristic
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
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—1722no—
1121C2×C22⋊C4—1722no—
1122C2×C22⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4C22×D4311yescharacteristic
1124C2×C22⋊C4C22×D4311yescharacteristic
1125C2×C22⋊C4C22×D4311yescharacteristic
1126C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42C22×D4311yescharacteristic
1145C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1181#95C22×D4311yescharacteristic
1182#95C22×D4311yescharacteristic
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—431no—
1194C24—431no—
1195C24—862no—
1196C24—862no—
1197C24—862no—
1198C24—1721no—
1199C24—1721no—
1200C24—1721no—
1201C24—1721no—
1202C24C23×D4311yescharacteristic
1203C24C23×D4311yescharacteristic
1204C24C23×D4311yescharacteristic
1205C24C23×D4311yescharacteristic
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—862no—
1210C2×Q8—862no—
1211C2×Q8—1721no—
1212C2×Q8—1721no—
1213C2×Q8—1721no—
1214C2×Q8—1721no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—862no—
1228C2×D4—862no—
1229C2×D4—862no—
1230C2×D4—862no—
1231C2×D4—862no—
1232C2×D4—1721no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—17216no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—434no—
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—1721no—
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—1721no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—17216no—
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—862no—
1303C4⋊C4—862no—
1304C4⋊C4—862no—
1305C4⋊C4—862no—
1306C4⋊C4—862no—
1307C4⋊C4—862no—
1308C4⋊C4—1721no—
1309C4⋊C4—1721no—
1310C4⋊C4—1721no—
1311C4⋊C4—1721no—
1312C4⋊C4—1721no—
1313C4⋊C4—1721no—
1314C4⋊C4—1721no—
1315C4⋊C4—1721no—
1316C4⋊C4—1721no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—1721no—
1357C22⋊C4—1721no—
1358C22⋊C4—1721no—
1359C22⋊C4—1721no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
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—
1383C42—41no—
1384C42—41no—
1385C42—862no—
1386C42—1721no—
1387C42—1721no—
1388C42—1721no—
1389C42—1721no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
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—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
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—3442no—
1435C23—3442no—
1436C23—3442no—
1437C23—3442no—
1438C23—1724no—
1439C23—1724no—
1440C23—1724no—
1441C23#41×D4312yes—
1442C23#1306337012yes—
1443C23#1306337012yes—
1444C23#1306337112yes—
1445C23#1306337212yes—
1446C23C24×D4311yescharacteristic
1447Q8—82no—
1448Q8—3442no—
1449Q8—3442no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3442no—
1454D4—3442no—
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—82no—
1493C2×C4—82no—
1494C2×C4—432no—
1495C2×C4—432no—
1496C2×C4—432no—
1497C2×C4—861no—
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—3442no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4—1724no—
1540C2×C4—1724no—
1541C2×C4—1724no—
1542C2×C4—1724no—
1543C2×C4—1724no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—3448no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22—1721no—
1579C22—1721no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22—1721no—
1584C22—1721no—
1585C22—1721no—
1586C22—1721no—
1587C22#1458351314yes—
1588C22C2×#41×D4311yescharacteristic
1589C22H(5,𝔽2)×D4311yescharacteristic
1590C22C2×#1306337011yescharacteristic
1591C22C2×#1306337011yescharacteristic
1592C22C2×#1306337111yescharacteristic
1593C22C2×#1306337211yescharacteristic
1594C22#1458373411yescharacteristic
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—862no—
1607C4—862no—
1608C4—862no—
1609C4—1721no—
1610C4—1721no—
1611C4—1721no—
1612C4—1721no—
1613C4—1721no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—3441no—
1625C2—3441no—
1626C2C2×#1458351311yescharacteristic
1627C2#1914827811yescharacteristic
1628C2#1914844211yescharacteristic
1629C2#1914874411yescharacteristic
1630C2#1914877311yescharacteristic
1631C2#1914880011yescharacteristic
1632C2#1914881011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2472C2
prime radical#19137948C2
hypercenter#2472D43
hypocenterC43#36793
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #19142885C2semidirect
2. #19142880C2semidirect
3. #19142435C2semidirect
4. #19141980C2semidirect
5. #19141925C2semidirect
6. #19141854C2semidirect
7. #19141656C2semidirect
8. #19141585C2semidirect
9. #19141518C2semidirect
10. #19141405C2semidirect
11. #19141361C2semidirect
12. #19141343C2semidirect
13. #19141271C2semidirect
14. #19141206C2semidirect
15. #19141191C2semidirect
16. #19141069C2semidirect
17. #19140995C2semidirect
18. #19140848C2semidirect
19. #19140402C2semidirect
20. #19140372C2semidirect
21. #19139779C2semidirect
22. #19139603C2semidirect
23. #19138841C2semidirect
24. #19138835C2semidirect
25. #19138723C2semidirect
26. #19138244C2semidirect
28. #19137323C2semidirect
29. #19137221C2semidirect
30. C2×#14582776C2semidirect
31. C43×#2472C2semidirect
34. C2×#13063319C22semidirect
35. C2×#13063318C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063306C22semidirect
40. C2×#13063306C22semidirect
43. C2×#13063302C22semidirect
44. C2×#13063302C22semidirect
51. #14582841C22semidirect
52. #14582835C22semidirect
53. #14582834C22semidirect
54. #14582834C22semidirect
55. #14582830C22semidirect
56. #14582829C22semidirect
57. #14582828C22semidirect
58. #14582828C22semidirect
59. #14582828C22semidirect
60. #14582828C22semidirect
61. #14582828C22semidirect
62. #14582828C22semidirect
63. #14582827C22semidirect
64. #14582827C22semidirect
65. #14582826C22semidirect
66. #14582826C22semidirect
67. #14582824C22semidirect
68. #14582823C22semidirect
69. #14582822C22semidirect
70. #14582821C22semidirect
71. #14582821C22semidirect
72. #14582821C22semidirect
73. #14582821C22semidirect
74. #14582820C22semidirect
75. #14582819C22semidirect
76. #14582818C22semidirect
81. #14582815C22semidirect
82. #14582815C22semidirect
83. #14582815C22semidirect
86. #14582814C22semidirect
87. #14582814C22semidirect
88. #14582814C22semidirect
89. #14582812C22semidirect
90. #14582811C22semidirect
91. #14582810C22semidirect
92. #14582810C22semidirect
95. #14582806C22semidirect
96. #14582805C22semidirect
97. #14582804C22semidirect
98. #14582803C22semidirect
103. #14582799C22semidirect
104. #14582797C22semidirect
105. #14582796C22semidirect
106. #14582794C22semidirect
107. #14582794C22semidirect
108. #14582793C22semidirect
109. #14582793C22semidirect
110. #14582792C22semidirect
111. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582790C22semidirect
114. #14582790C22semidirect
115. #14582788C22semidirect
116. #14582787C22semidirect
117. #14582787C22semidirect
118. #14582786C22semidirect
119. #14582786C22semidirect
120. #14582784C22semidirect
121. #14582783C22semidirect
122. #14582783C22semidirect
123. #14582782C22semidirect
124. #14582782C22semidirect
125. #14582782C22semidirect
128. #14582779C22semidirect
129. #14582779C22semidirect
139. #14582774C22semidirect
140. #14582774C22semidirect
141. #14582774C22semidirect
147. #14582771C22semidirect
148. #14582771C22semidirect
149. #14582771C22semidirect
150. #14582771C22semidirect
151. #14582771C22semidirect
152. #14582766C22semidirect
153. #14582763C22semidirect
154. #14582760C22semidirect
155. #14582760C22semidirect
156. #14582760C22semidirect
160. #14582757C22semidirect
161. #14582757C22semidirect
162. #14582757C22semidirect
172. C2×#124×C43C22semidirect
176. C43×#397C22semidirect
177. C43×#394C22semidirect
178. C43×#394C22semidirect
179. C43×#393C22semidirect
180. C43×#390C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
829. #2472D43semidirect
855. C2×#124C2×D43semidirect
888. #397C2×D43semidirect
910. #394C2×D43semidirect
911. #394C2×D43semidirect
916. #393C2×D43semidirect
928. #390C2×D43semidirect
943. #388C2×D43semidirect
944. #388C2×D43semidirect
1003. C43#36793semidirect

Maximal subgroups

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

subgroupindex
#191428852
#191428802
#191424352
#191419802
#191419252
#191418542
#191416562
#191415852
#191415182
#191414052
#191413612
#191413432
#191412712
#191412062
#191411912
#191410692
#191409952
#191408482
#191404022
#191403722
#191397792
#191396032
#191388412
#191388352
#191387232
#191382442
#191379482
#191373232
#191372212
C2×#145827762
C43×#24722
#3679343