Finite Group Databasebeta

← #25304011

Subgroups — #25304011

Order 11008.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583524C211yesmaximal, characteristic, complemented
2C2×#14583481C211yesmaximal, characteristic
3#19142946C211yesmaximal, characteristic, complemented
4#19142891C211yesmaximal, characteristic, complemented
5#19141199C211yesmaximal, characteristic, complemented
6#19141198C211yesmaximal, characteristic, complemented
7#19141167C211yesmaximal, characteristic, complemented
8#19141164C211yesmaximal, characteristic, complemented
9#19141045C211yesmaximal, characteristic, complemented
10#19141042C211yesmaximal, characteristic, complemented
11#19141020C211yesmaximal, characteristic, complemented
12#19141017C211yesmaximal, characteristic, complemented
13#19140946C211yesmaximal, characteristic, complemented
14#19140941C211yesmaximal, characteristic, complemented
15#19140938C211yesmaximal, characteristic, complemented
16#19140937C211yesmaximal, characteristic, complemented
17#19140881C211yesmaximal, characteristic, complemented
18#19140876C211yesmaximal, characteristic, complemented
19#19140841C211yesmaximal, characteristic, complemented
20#19140708C211yesmaximal, characteristic, complemented
21#19140526C211yesmaximal, characteristic, complemented
22#19139780C211yesmaximal, characteristic, complemented
23#19139770C211yesmaximal, characteristic, complemented
24#19138048C211yesmaximal, characteristic, complemented
25#19138039C211yesmaximal, characteristic, complemented
26#19137994C211yesmaximal, characteristic, complemented
27#19137987C211yesmaximal, characteristic, complemented
28#19137986C211yesmaximal, characteristic, complemented
29#19137986C211yesmaximal, characteristic, complemented
30#388×D43C211yesmaximal, characteristic, complemented
31C43×#2672C211yesmaximal, characteristic, complemented
32#14583524—28no—
33#14583481—28no—
34C2×#13063324C2211yescharacteristic, complemented
35C2×#13063320C2211yescharacteristic
36C2×#13063318C2211yescharacteristic
37C2×#13063312C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063308C2211yescharacteristic
40C2×#13063307C2211yescharacteristic
41C2×#13063307C2211yescharacteristic
42C2×#13063306C2211yescharacteristic
43C2×#13063306C2211yescharacteristic
44C2×#13063305C2211yescharacteristic
45C2×#13063305C2211yescharacteristic
46C2×#13063304C2211yescharacteristic
47C2×#13063304C2211yescharacteristic, complemented
48C2×#13063303C2211yescharacteristic
49C2×#13063303C2211yescharacteristic
50C2×#13063303C2211yescharacteristic
51C2×#13063303C2211yescharacteristic
52C2×#13063303C2211yescharacteristic
53C2×#13063302C2211yescharacteristic
54C2×#13063302C2211yescharacteristic
55C2×#13063302C2211yescharacteristic, complemented
56C2×#13063301C2211yescharacteristic
57C2×#13063301C2211yescharacteristic
58C2×#13063297C2211yescharacteristic
59C2×#13063296C2211yescharacteristic
60C2×#13063293C2211yescharacteristic
61C2×#13063293C2211yescharacteristic
62C2×C4×C22⋊D43C2211yescharacteristic
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×C4⋊C4×D43C2211yescharacteristic
65C22×(C2×D43)⋊C4C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582840C2211yescharacteristic, complemented
72#14582839C2211yescharacteristic, complemented
73#14582838C2211yescharacteristic, complemented
74#14582837C2211yescharacteristic, complemented
75#14582835C2211yescharacteristic, complemented
76#14582833C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582831C2211yescharacteristic, complemented
82#14582829C2211yescharacteristic, complemented
83#14582829C2211yescharacteristic, complemented
84#14582828C2211yescharacteristic
85#14582828C2211yescharacteristic
86#14582827C2211yescharacteristic
87#14582827C2211yescharacteristic
88#14582827C2211yescharacteristic, complemented
89#14582827C2211yescharacteristic, complemented
90#14582825C2211yescharacteristic
91#14582825C2211yescharacteristic
92#14582824C2211yescharacteristic
93#14582824C2211yescharacteristic
94#14582822C2211yescharacteristic, complemented
95#14582822C2211yescharacteristic, complemented
96#14582822C2211yescharacteristic, complemented
97#14582820C2211yescharacteristic, complemented
98#14582819C2211yescharacteristic, complemented
99#14582819C2211yescharacteristic, complemented
100#14582819C2211yescharacteristic, complemented
101#14582818C2211yescharacteristic, complemented
102#14582815C2211yescharacteristic
103#14582815C2211yescharacteristic
104#14582814C2211yescharacteristic
105#14582814C2211yescharacteristic
106#14582813C2211yescharacteristic
107#14582813C2211yescharacteristic
108#14582813C2211yescharacteristic, complemented
109#14582811C2211yescharacteristic, complemented
110#14582811C2211yescharacteristic, complemented
111#14582811C2211yescharacteristic, complemented
112#14582811C2211yescharacteristic, complemented
113#14582806C2211yescharacteristic, complemented
114#14582804C2211yescharacteristic, complemented
115#14582803C2211yescharacteristic, complemented
116#14582803C2211yescharacteristic, complemented
117#14582803C2211yescharacteristic, complemented
118#14582802C2211yescharacteristic, complemented
119#14582797C2211yescharacteristic, complemented
120#14582795C2211yescharacteristic, complemented
121#14582794C2211yescharacteristic, complemented
122#14582794C2211yescharacteristic, complemented
123#14582794C2211yescharacteristic, complemented
124#14582793C2211yescharacteristic
125#14582792C2211yescharacteristic
126#14582791C2211yescharacteristic
127#14582790C2211yescharacteristic
128#14582789C2211yescharacteristic
129#14582788C2211yescharacteristic
130#14582787C2211yescharacteristic
131#14582787C2211yescharacteristic, complemented
132#14582787C2211yescharacteristic, complemented
133#14582787C2211yescharacteristic, complemented
134#14582787C2211yescharacteristic, complemented
135#14582785C2211yescharacteristic, complemented
136#14582785C2211yescharacteristic, complemented
137#14582784C2211yescharacteristic, complemented
138#14582780C2211yescharacteristic, complemented
139#14582779C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582774C2211yescharacteristic
151#14582774C2211yescharacteristic, complemented
152#14582774C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic
154#14582772C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582768C2211yescharacteristic, complemented
158#14582765C2211yescharacteristic, complemented
159#14582762C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582761C2211yescharacteristic
162#14582760C2211yescharacteristic
163#14582758C2211yescharacteristic
164#14582758C2211yescharacteristic
165#14582758C2211yescharacteristic
166#14582758C2211yescharacteristic
167#14582757C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582756C2211yescharacteristic
171#14582756C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#124×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic
176C2×C22⋊Q8×C43C2211yescharacteristic
177C2×#121×C43C2211yescharacteristic
178C43×#399C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#395C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic
182C43×#394C2211yescharacteristic
183C43×#394C2211yescharacteristic, complemented
184C43×#389C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063324—42no—
209#13063320—24no—
210#13063318—24no—
211#13063312—24no—
212#13063311—24no—
213#13063308—24no—
214#13063307—42no—
215#13063307—42no—
216#13063306—24no—
217#13063306—42no—
218#13063305—24no—
219#13063305—24no—
220#13063304—24no—
221#13063304—42no—
222#13063303—24no—
223#13063303—24no—
224#13063303—24no—
225#13063303—24no—
226#13063303—24no—
227#13063302—24no—
228#13063302—24no—
229#13063302—42no—
230#13063301—24no—
231#13063301—24no—
232#13063297—24no—
233#13063296—24no—
234#13063293—24no—
235#13063293—24no—
236C4×C22⋊D43—24no—
237(C22⋊D43)⋊C4—24no—
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C4⋊C4×D43—42no—
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×(C2×D43)⋊C4—24no—
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C22⋊C4×D43—24no—
303C22⋊C4×D43—42no—
304C22⋊C4×D43—42no—
305C22⋊C4×D43D418yes—
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C42×D43—42no—
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
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C22×Q8×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352#124×C43—42no—
353#123×C43—42no—
354C22⋊Q8×C43—24no—
355#121×C43—24no—
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2×D414yes—
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×Q8×C43—22no—
398C2×Q8×C43—41no—
399C2×Q8×C43—41no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—41no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43C2×D414yes—
482C2×C4×D43C2×D414yes—
483C2×Dic86—22no—
484C2×Dic86—22no—
485C2×Dic86—22no—
486C2×Dic86—22no—
487C2×Dic86—41no—
488C2×Dic86—41no—
489C2×Dic86—41no—
490C2×Dic86—41no—
491C2×Dic86—41no—
492C2×Dic86—41no—
493C2×Dic86—41no—
494C2×Dic86—41no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43—41no—
516C22⋊C4×C43C2×D414yes—
517C42×C43—22no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—41no—
528C22⋊Dic43—41no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43C2×D414yes—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4C2×D414yes—
550(C2×D43)⋊C4C2×D414yes—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—22no—
555C4⋊Dic43—22no—
556C4⋊Dic43—22no—
557C4⋊Dic43—41no—
558C4⋊Dic43—41no—
559C4⋊Dic43—41no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—41no—
574Dic43⋊C4—41no—
575Dic43⋊C4—41no—
576Dic43⋊C4—41no—
577Dic43⋊C4—41no—
578Dic43⋊C4—41no—
579Dic43⋊C4—41no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—41no—
584C4×Dic43—41no—
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—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43C22×D412yes—
606C23×C43C2511yescharacteristic
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—28no—
618C22×D43—44no—
619C22×D43—44no—
620C22×D43—82no—
621C22×D43—82no—
622C22×D43—82no—
623C22×D43—82no—
624C22×D43C22×D412yes—
625C22×D43C22×D412yes—
626C22×D432−1+412yes—
627C22×D432−1+412yes—
628Q8×C43—82no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
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—82no—
666C2×C4×C43—82no—
667C2×C4×C43C22×D412yes—
668C2×C4×C43C22×D412yes—
669C2×C4×C43H(5,𝔽2)12yes—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C22⋊D43—82no—
673C22⋊D43—82no—
674C2×Dic43—21no—
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—82no—
714C2×Dic43—82no—
715C2×Dic43C22×D412yes—
716C2×Dic43C22×D412yes—
717C2×Dic43H(5,𝔽2)12yes—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721C4×D43—44no—
722C4×D43—82no—
723C4×D43—82no—
724C4×D43—82no—
725C4×D43—82no—
726Dic86—82no—
727Dic86—82no—
728Dic86—82no—
729Dic86—82no—
730#36740—431nomaximal, Sylow
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
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×C43C23×D411yescharacteristic
753C22×C43C2×H(5,𝔽2)11yescharacteristic
754C22×C43C2×H(5,𝔽2)11yescharacteristic
755C22×C43C2×2−1+411yescharacteristic
756C22×C43C2×2−1+411yescharacteristic
757C22×C43#58511yescharacteristic
758C22×C43#58511yescharacteristic
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—22no—
763C2×D43—22no—
764C2×D43—22no—
765C2×D43—22no—
766C2×D43—22no—
767C2×D43—22no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—88no—
773C2×D43#53614yes—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800C2×#543—431no—
801C2×#538—431no—
802#2857—431no—
803#2850—431no—
804#2700—431no—
805#2700—431no—
806#2698—431no—
807#2698—431no—
808#2689—431no—
809#2689—431no—
810#2687—431no—
811#2687—431no—
812#2681—431no—
813#2681—431no—
814#2680—431no—
815#2680—431no—
816#2674—431no—
817#2674—431no—
818#2672—431no—
819#2672D4311yescharacteristic, complemented
820#2659—431no—
821#2639—431no—
822#2564—431no—
823#2564—431no—
824#2417—431no—
825#2417—431no—
826#2412—431no—
827#2412—431no—
828#2412—431no—
829#2412—431no—
830C2×#388—431no—
831C2×C43—42no—
832C2×C43—81no—
833C2×C43—81no—
834C2×C43C2×#53611yescharacteristic
835C2×C43#349611yescharacteristic
836C2×C43#349611yescharacteristic
837C2×C43#353511yescharacteristic
838C2×C43#353611yescharacteristic
839C2×C43#356111yescharacteristic
840C2×C43#356411yescharacteristic
841D43—24no—
842D43—42no—
843#543—868no—
844#538—868no—
845C2×C4⋊Q8—431no—
846C2×#126—431no—
847C2×#126—431no—
848C2×#124—431no—
849C2×#124—431no—
850C2×#124C2×D4311yescharacteristic, complemented
851C2×#123—431no—
852C2×#123—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123C2×D4311yescharacteristic
857C2×C22⋊Q8—431no—
858C2×C22⋊Q8—431no—
859C2×C22⋊Q8—431no—
860C2×C22⋊Q8—431no—
861C2×C22⋊Q8—431no—
862C2×C22⋊Q8—431no—
863C2×C22⋊Q8—431no—
864C2×C22⋊Q8—431no—
865C2×C22⋊Q8—431no—
866C2×C22⋊Q8—431no—
867C2×C22⋊Q8—431no—
868C2×C22⋊Q8—431no—
869C2×C22⋊Q8—431no—
870C2×C22⋊Q8—431no—
871C2×C22⋊Q8C2×D4311yescharacteristic
872C2×#121—431no—
873C2×#121—431no—
874C2×#121C2×D4311yescharacteristic
875C2×#120—431no—
876C2×#120—431no—
877C2×C4×D4—431no—
878C2×C4×D4—431no—
879C22×C4⋊C4—431no—
880C22×C22⋊C4—431no—
881C22×C22⋊C4—431no—
882C22×C22⋊C4—431no—
883C22×C22⋊C4—431no—
884C22×C22⋊C4—431no—
885C22×C42—431no—
886#400—431no—
887#400—431no—
888#400—431no—
889#400—431no—
890#399—431no—
891#399C2×D4311yescharacteristic, complemented
892#398—431no—
893#398—431no—
894#398—431no—
895#398—431no—
896#398—431no—
897#398—431no—
898#398—431no—
899#398—431no—
900#397—431no—
901#397—431no—
902#397—431no—
903#397—431no—
904#397—431no—
905#397—431no—
906#397—431no—
907#397—431no—
908#397—431no—
909#397—431no—
910#396—431no—
911#396—431no—
912#396—431no—
913#396C2×D4311yescharacteristic, complemented
914#395—431no—
915#395—431no—
916#395—431no—
917#395—431no—
918#395—431no—
919#395C2×D4311yescharacteristic, complemented
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394C2×D4311yescharacteristic
928#394C2×D4311yescharacteristic
929#394C2×D4311yescharacteristic, complemented
930#393—431no—
931#393—431no—
932#393—431no—
933#393—431no—
934#391—431no—
935#391—431no—
936#391—431no—
937#391—431no—
938#391—431no—
939#390—431no—
940#389—431no—
941#389—431no—
942#389—431no—
943#389—431no—
944#389—431no—
945#389C2×D4311yescharacteristic, complemented
946#388—431no—
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388C2×D4311yescharacteristic
958#387—431no—
959#387—431no—
960#387—431no—
961#387—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#386—431no—
970#386—431no—
971#386—431no—
972#386—431no—
973#386C2×D4311yescharacteristic
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385—431no—
980#385—431no—
981#385C2×D4311yescharacteristic, complemented
982#384—431no—
983#382—431no—
984#381—431no—
985#381—431no—
986#381—431no—
987#381—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#380—431no—
997#380C2×D4311yescharacteristic, complemented
998C2×#95—431no—
999C2×#95—431no—
1000C43#3674011yescharacteristic, complemented, Sylow
1001C25—431no—
1002C22×Q8—431no—
1003C22×Q8—431no—
1004C22×Q8—431no—
1005C22×Q8—431no—
1006C22×Q8C22×D4311yescharacteristic
1007C22×D4—431no—
1008C22×D4—431no—
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4C22×D4311yescharacteristic
1012C22×D4C22×D4311yescharacteristic
1013C22×D4C22×D4311yescharacteristic
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—431no—
1022C23×C4—431no—
1023C23×C4—431no—
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C4⋊Q8—1722no—
1027#126—864no—
1028#126—864no—
1029#124—42no—
1030#124—864no—
1031#124—864no—
1032#123—42no—
1033#123—864no—
1034#123—864no—
1035#123—1722no—
1036#123—1722no—
1037#123—1722no—
1038C22⋊Q8—24no—
1039C22⋊Q8—864no—
1040C22⋊Q8—864no—
1041C22⋊Q8—864no—
1042C22⋊Q8—864no—
1043C22⋊Q8—864no—
1044C22⋊Q8—864no—
1045C22⋊Q8—864no—
1046C22⋊Q8—864no—
1047C22⋊Q8—864no—
1048C22⋊Q8—864no—
1049C22⋊Q8—864no—
1050C22⋊Q8—864no—
1051C22⋊Q8—1722no—
1052C22⋊Q8—1722no—
1053#121—24no—
1054#121—864no—
1055#121—864no—
1056#120—864no—
1057#120—864no—
1058C4×D4—864no—
1059C4×D4—864no—
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⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—1722no—
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C4⋊C4C22×D4311yescharacteristic
1097C2×C4⋊C4C22×D4311yescharacteristic
1098C2×C4⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—438no—
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—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—864no—
1134C2×C22⋊C4—864no—
1135C2×C22⋊C4—1722no—
1136C2×C22⋊C4—1722no—
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C22⋊C4C22×D4311yescharacteristic
1139C2×C22⋊C4C22×D4311yescharacteristic
1140C2×C22⋊C4C22×D4311yescharacteristic
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C22⋊C4C22×D4311yescharacteristic
1147C2×C22⋊C4C22×D4311yescharacteristic
1148C2×C22⋊C4C22×D4311yescharacteristic
1149C2×C22⋊C4C22×D4311yescharacteristic
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—1722no—
1156C2×C42C22×D4311yescharacteristic
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#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197C24—431no—
1198C24—431no—
1199C24—434no—
1200C24—862no—
1201C24—862no—
1202C24—1721no—
1203C24—1721no—
1204C24—1721no—
1205C24—1721no—
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C24C23×D4311yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—862no—
1213C2×Q8—862no—
1214C2×Q8—862no—
1215C2×Q8—862no—
1216C2×Q8—1721no—
1217C2×Q8—1721no—
1218C2×Q8—1721no—
1219C2×Q8—1721no—
1220C2×Q8—1721no—
1221C2×Q8—1721no—
1222C2×Q8—1721no—
1223C2×Q8—1721no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—862no—
1234C2×D4—862no—
1235C2×D4—862no—
1236C2×D4—862no—
1237C2×D4—862no—
1238C2×D4—862no—
1239C2×D4—862no—
1240C2×D4—862no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—434no—
1255C22×C4—434no—
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—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
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—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—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—862no—
1327C4⋊C4—862no—
1328C4⋊C4—862no—
1329C4⋊C4—862no—
1330C4⋊C4—862no—
1331C4⋊C4—862no—
1332C4⋊C4—862no—
1333C4⋊C4—862no—
1334C4⋊C4—862no—
1335C4⋊C4—1721no—
1336C4⋊C4—1721no—
1337C4⋊C4—1721no—
1338C4⋊C4—1721no—
1339C4⋊C4—1721no—
1340C4⋊C4—1721no—
1341C4⋊C4—1721no—
1342C4⋊C4—1721no—
1343C4⋊C4—1721no—
1344C4⋊C4—1721no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—434no—
1358C22⋊C4—434no—
1359C22⋊C4—434no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4—862no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4D4×D4314yes—
1391C42—22no—
1392C42—862no—
1393C42—862no—
1394C42—862no—
1395C42—1721no—
1396C42—1721no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—432no—
1418C23—432no—
1419C23—432no—
1420C23—432no—
1421C23—868no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—3442no—
1433C23—3442no—
1434C23—3442no—
1435C23—3442no—
1436C23—1724no—
1437C23—1724no—
1438C23C2×D4×D4312yes—
1439C23C24×D4311yescharacteristic
1440Q8—82no—
1441Q8—3442no—
1442Q8—3442no—
1443Q8—3442no—
1444Q8—3442no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—3442no—
1449D4—3442no—
1450D4—1724no—
1451D4—1724no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—82no—
1486C2×C4—82no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
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—3442no—
1530C2×C4—3442no—
1531C2×C4—3442no—
1532C2×C4—3442no—
1533C2×C4—3442no—
1534C2×C4—3442no—
1535C2×C4—1724no—
1536C2×C4—1724no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4C2×D4×D4312yes—
1540C2×C4C2×D4×D4312yes—
1541C2×C4#1306337012yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—434no—
1564C22—862no—
1565C22—862no—
1566C22—862no—
1567C22—862no—
1568C22—862no—
1569C22—862no—
1570C22—862no—
1571C22—862no—
1572C22—862no—
1573C22—3448no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22—1721no—
1578C22C22×D4×D4311yescharacteristic
1579C22H(5,𝔽2)×D4311yescharacteristic
1580C22C2×#1306337011yescharacteristic
1581C222−1+4×D4311yescharacteristic
1582C222−1+4×D4311yescharacteristic
1583C22#1458373411yescharacteristic
1584C22#1458373511yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—862no—
1598C4—862no—
1599C4—862no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—864no—
1615C2—1722no—
1616C2#536×D4311yescharacteristic
1617C2#1914835111yescharacteristic
1618C2#1914835511yescharacteristic
1619C2#1914879611yescharacteristic
1620C2#1914881311yescharacteristic
1621C2#1914915711yescharacteristic
1622C2#1914922011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2672C2
prime radicalC2×#14583481C2
hypercenter#2672D43
hypocenterC43#36740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#14583524C2semidirect
3. #19142946C2semidirect
4. #19142891C2semidirect
5. #19141199C2semidirect
6. #19141198C2semidirect
7. #19141167C2semidirect
8. #19141164C2semidirect
9. #19141045C2semidirect
10. #19141042C2semidirect
11. #19141020C2semidirect
12. #19141017C2semidirect
13. #19140946C2semidirect
14. #19140941C2semidirect
15. #19140938C2semidirect
16. #19140937C2semidirect
17. #19140881C2semidirect
18. #19140876C2semidirect
19. #19140841C2semidirect
20. #19140708C2semidirect
21. #19140526C2semidirect
22. #19139780C2semidirect
23. #19139770C2semidirect
24. #19138048C2semidirect
25. #19138039C2semidirect
26. #19137994C2semidirect
27. #19137987C2semidirect
28. #19137986C2semidirect
29. #19137986C2semidirect
30. #388×D43C2semidirect
31. C43×#2672C2semidirect
34. C2×#13063324C22semidirect
47. C2×#13063304C22semidirect
55. C2×#13063302C22semidirect
71. #14582840C22semidirect
72. #14582839C22semidirect
73. #14582838C22semidirect
74. #14582837C22semidirect
75. #14582835C22semidirect
76. #14582833C22semidirect
77. #14582833C22semidirect
78. #14582833C22semidirect
79. #14582833C22semidirect
80. #14582832C22semidirect
81. #14582831C22semidirect
82. #14582829C22semidirect
83. #14582829C22semidirect
88. #14582827C22semidirect
89. #14582827C22semidirect
94. #14582822C22semidirect
95. #14582822C22semidirect
96. #14582822C22semidirect
97. #14582820C22semidirect
98. #14582819C22semidirect
99. #14582819C22semidirect
100. #14582819C22semidirect
101. #14582818C22semidirect
108. #14582813C22semidirect
109. #14582811C22semidirect
110. #14582811C22semidirect
111. #14582811C22semidirect
112. #14582811C22semidirect
113. #14582806C22semidirect
114. #14582804C22semidirect
115. #14582803C22semidirect
116. #14582803C22semidirect
117. #14582803C22semidirect
118. #14582802C22semidirect
119. #14582797C22semidirect
120. #14582795C22semidirect
121. #14582794C22semidirect
122. #14582794C22semidirect
123. #14582794C22semidirect
131. #14582787C22semidirect
132. #14582787C22semidirect
133. #14582787C22semidirect
134. #14582787C22semidirect
135. #14582785C22semidirect
136. #14582785C22semidirect
137. #14582784C22semidirect
138. #14582780C22semidirect
151. #14582774C22semidirect
152. #14582774C22semidirect
154. #14582772C22semidirect
157. #14582768C22semidirect
158. #14582765C22semidirect
167. #14582757C22semidirect
174. C2×#124×C43C22semidirect
178. C43×#399C22semidirect
179. C43×#396C22semidirect
180. C43×#395C22semidirect
183. C43×#394C22semidirect
184. C43×#389C22semidirect
187. C43×#385C22semidirect
188. C43×#380C22semidirect
819. #2672D43semidirect
850. C2×#124C2×D43semidirect
891. #399C2×D43semidirect
913. #396C2×D43semidirect
919. #395C2×D43semidirect
929. #394C2×D43semidirect
945. #389C2×D43semidirect
981. #385C2×D43semidirect
997. #380C2×D43semidirect
1000. C43#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#145835242
C2×#145834812
#191429462
#191428912
#191411992
#191411982
#191411672
#191411642
#191410452
#191410422
#191410202
#191410172
#191409462
#191409412
#191409382
#191409372
#191408812
#191408762
#191408412
#191407082
#191405262
#191397802
#191397702
#191380482
#191380392
#191379942
#191379872
#191379862
#388×D432
C43×#26722
#3674043