Finite Group Databasebeta

← #25267564

Subgroups — #25267564

Order 11008.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583427C211yesmaximal, characteristic, complemented
2C2×C4×#10621898C211yesmaximal, characteristic, complemented
3#19140291C211yesmaximal, characteristic, complemented
4#19140289C211yesmaximal, characteristic, complemented
5#19140280C211yesmaximal, characteristic, complemented
6#19140278C211yesmaximal, characteristic, complemented
7#19140232C211yesmaximal, characteristic, complemented
8#19140230C211yesmaximal, characteristic, complemented
9#19140221C211yesmaximal, characteristic, complemented
10#19140219C211yesmaximal, characteristic, complemented
11#19139780C211yesmaximal, characteristic, complemented
12#19139774C211yesmaximal, characteristic, complemented
13#19139560C211yesmaximal, characteristic, complemented
14#19139554C211yesmaximal, characteristic, complemented
15#19139038C211yesmaximal, characteristic, complemented
16#19139036C211yesmaximal, characteristic, complemented
17#19138204C211yesmaximal, characteristic, complemented
18#19138202C211yesmaximal, characteristic, complemented
19#19137889C211yesmaximal, characteristic, complemented
20#19137882C211yesmaximal, characteristic, complemented
21#19137882C211yesmaximal, characteristic, complemented
22#19137874C211yesmaximal, characteristic, complemented
23C4×#13063300C211yesmaximal, characteristic, complemented
24C4×#13063298C211yesmaximal, characteristic, complemented
25C4×#13063298C211yesmaximal, characteristic, complemented
26C4×#13063296C211yesmaximal, characteristic, complemented
27#19137039C211yesmaximal, characteristic, complemented
28#19137038C211yesmaximal, characteristic, complemented
29#19137032C211yesmaximal, characteristic, complemented
30#376×D43C211yesmaximal, characteristic, complemented
31C43×#2290C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33#14583427—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063318C2211yescharacteristic
36C2×#13063315C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063307C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063300C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063298C2211yescharacteristic
44C2×#13063298C2211yescharacteristic
45C2×#13063296C2211yescharacteristic
46C4×#10621898—28no—
47C2×C4×Dic86C2211yescharacteristic
48C2×C4×Dic86C2211yescharacteristic
49C2×C4×Dic86C2211yescharacteristic
50C2×C4×D172C2211yescharacteristic
51C2×C4×D172C2211yescharacteristic
52C2×C4×D172C2211yescharacteristic
53C2×C4×D172C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic
58C2×C4×C22⋊D43C2211yescharacteristic
59C2×C4×C22⋊D43C2211yescharacteristic
60C2×C4×C22⋊D43C2211yescharacteristic
61C2×C4×C22⋊D43C2211yescharacteristic
62C2×#13063284C2211yescharacteristic
63C2×#13063282C2211yescharacteristic
64C2×#13063282C2211yescharacteristic
65C2×#13063282C2211yescharacteristic
66C2×C42×D43C2211yescharacteristic
67C2×C42×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70#14582841C2211yescharacteristic
71#14582841C2211yescharacteristic
72#14582840C2211yescharacteristic
73#14582840C2211yescharacteristic
74#14582835C2211yescharacteristic
75#14582835C2211yescharacteristic
76#14582834C2211yescharacteristic
77#14582834C2211yescharacteristic
78#14582833C2211yescharacteristic
79#14582833C2211yescharacteristic
80#14582832C2211yescharacteristic
81#14582832C2211yescharacteristic
82#14582828C2211yescharacteristic
83#14582828C2211yescharacteristic
84#14582827C2211yescharacteristic
85#14582827C2211yescharacteristic
86#14582820C2211yescharacteristic
87#14582820C2211yescharacteristic
88#14582819C2211yescharacteristic
89#14582819C2211yescharacteristic
90#14582815C2211yescharacteristic
91#14582815C2211yescharacteristic
92#14582814C2211yescharacteristic
93#14582814C2211yescharacteristic
94#14582812C2211yescharacteristic
95#14582812C2211yescharacteristic
96#14582811C2211yescharacteristic
97#14582811C2211yescharacteristic
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582807C2211yescharacteristic
101#14582807C2211yescharacteristic
102#14582802C2211yescharacteristic
103#14582800C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582798C2211yescharacteristic
107#14582796C2211yescharacteristic
108#14582796C2211yescharacteristic
109#14582795C2211yescharacteristic
110#14582792C2211yescharacteristic
111#14582792C2211yescharacteristic
112#14582791C2211yescharacteristic
113#14582791C2211yescharacteristic
114#14582791C2211yescharacteristic
115#14582791C2211yescharacteristic
116#14582790C2211yescharacteristic
117#14582790C2211yescharacteristic
118#14582788C2211yescharacteristic
119#14582788C2211yescharacteristic
120#14582787C2211yescharacteristic
121#14582787C2211yescharacteristic
122#14582787C2211yescharacteristic
123#14582787C2211yescharacteristic
124#14582784C2211yescharacteristic
125#14582784C2211yescharacteristic
126#14582783C2211yescharacteristic
127#14582783C2211yescharacteristic
128#14582780C2211yescharacteristic
129#14582780C2211yescharacteristic
130#14582778C2211yescharacteristic
131#14582778C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582772C2211yescharacteristic
147#14582772C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582758C2211yescharacteristic
151#14582758C2211yescharacteristic
152#14582756C2211yescharacteristic
153#14582756C2211yescharacteristic
154C4×Dic43⋊C4C2211yescharacteristic
155C4×Dic43⋊C4C2211yescharacteristic
156C4×C4⋊Dic43C2211yescharacteristic
157C4×(C2×D43)⋊C4C2211yescharacteristic
158C4×(C2×D43)⋊C4C2211yescharacteristic
159C4×(C2×D43)⋊C4C2211yescharacteristic
160C4×(C2×D43)⋊C4C2211yescharacteristic
161C4×C22⋊Dic43C2211yescharacteristic
162C4×C22⋊Dic43C2211yescharacteristic
163#14582745C2211yescharacteristic
164#14582745C2211yescharacteristic
165#14582745C2211yescharacteristic
166#14582744C2211yescharacteristic
167#14582744C2211yescharacteristic
168#14582744C2211yescharacteristic
169#14582744C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C2×#117×C43C2211yescharacteristic
176C22×C42×C43C2211yescharacteristic
177C43×#388C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#386C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C4×C4⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C4×C22⋊C4×C43C2211yescharacteristic
188C43×#376C2211yescharacteristic
189C2×#10621898—24no—
190C2×#10621898—24no—
191C2×#10621898—24no—
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214#13063320—24no—
215#13063318—24no—
216#13063315—24no—
217#13063311—24no—
218#13063310—24no—
219#13063307—24no—
220#13063303—24no—
221#13063300—24no—
222#13063298—24no—
223#13063298—24no—
224#13063298—24no—
225#13063296—24no—
226C4×Dic86—24no—
227C4×Dic86—24no—
228C4×Dic86—24no—
229C4×D172—24no—
230C4×D172—24no—
231C4×D172—24no—
232C4×D172—24no—
233C4×C22⋊D43—24no—
234C4×C22⋊D43—24no—
235C4×C22⋊D43—24no—
236C4×C22⋊D43—24no—
237C4×C22⋊D43—24no—
238C4×C22⋊D43—24no—
239C4×C22⋊D43—24no—
240C4×C22⋊D43—24no—
241#13063284—24no—
242#13063282—24no—
243#13063282—24no—
244#13063282—24no—
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
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
267C2×Dic43⋊C4C2311yescharacteristic
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×(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×(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×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C42×D43—24no—
314C42×D43—24no—
315C42×D43—24no—
316C42×D43D418yescomplemented
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
346C43⋊#95C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C4×D4×C43—24no—
353#117×C43—24no—
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C42×C43—24no—
368C2×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373C2×C42×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C23×D43C2411yescharacteristic
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—41no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
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
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—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43#4114yes—
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449#10621898—232no—
450C2×D172—22no—
451C2×D172—22no—
452C2×D172—22no—
453C2×D172—22no—
454C2×D172—22no—
455C2×D172—22no—
456C2×D172—22no—
457C2×D172—41no—
458C2×D172#4114yes—
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—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
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—41no—
488C2×C4×D43—41no—
489C2×C4×D43C2×D414yes—
490C2×C4×D43C2×D414yes—
491C2×C4×D43C2×D414yes—
492C2×Dic86—22no—
493C2×Dic86—22no—
494C2×Dic86—22no—
495C2×Dic86—22no—
496C2×Dic86—41no—
497C2×Dic86—41no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—41no—
503C22⋊C4×C43—22no—
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—
511C42×C43—22no—
512C42×C43—22no—
513C42×C43—22no—
514C42×C43—22no—
515C42×C43—22no—
516C42×C43C2×D414yes—
517C42×C43#4114yescomplemented
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—41no—
527C22⋊Dic43—41no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
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—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550C4⋊Dic43—22no—
551C4⋊Dic43—22no—
552C4⋊Dic43—22no—
553C4⋊Dic43—22no—
554C4⋊Dic43—22no—
555C4⋊Dic43—22no—
556C4⋊Dic43—41no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
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—41no—
572Dic43⋊C4—41no—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43C2×D414yes—
583C4×Dic43C2×D414yes—
584C4×Dic43C2×D414yes—
585C4×Dic43#4114yescomplemented
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×C43C2×#4112yes—
600C23×C43C2511yescharacteristic
601C22×D43—21no—
602C22×D43—21no—
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×D43C22×D412yes—
619C22×D43C2×#4112yes—
620C22×D43C2×#4112yes—
621C22×D43C2×#4112yes—
622D4×C43—44no—
623C2×C4×C43—28no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
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—44no—
656C2×C4×C43—44no—
657C2×C4×C43—44no—
658C2×C4×C43C22×D412yes—
659C2×C4×C43C22×D412yes—
660C2×C4×C43C22×D412yes—
661C2×C4×C43C2×#4112yes—
662C2×C4×C43C2×#4112yes—
663C2×C4×C43C2×#4112yes—
664C2×C4×C43C2×#4112yes—
665C2×C4×C43C2×#4112yes—
666C22⋊D43—28no—
667C22⋊D43—28no—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C2×Dic43—21no—
673C2×Dic43—21no—
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×Dic43C22×D412yes—
706C2×Dic43C22×D412yes—
707C2×Dic43C22×D412yes—
708C2×Dic43C2×#4112yes—
709C2×Dic43C2×#4112yes—
710C2×Dic43C2×#4112yes—
711D172—28no—
712D172—44no—
713D172—44no—
714C4×D43—28no—
715C4×D43—28no—
716C4×D43—28no—
717C4×D43—44no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721C4×D43—44no—
722C4×D43—44no—
723C4×D43—44no—
724C4×D43—44no—
725Dic86—28no—
726Dic86—44no—
727#34876—431nomaximal, Sylow
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
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×C43C23×D411yescharacteristic
743C22×C43C22×#4111yescharacteristic
744C22×C43C22×#4111yescharacteristic
745C22×C43C22×#4111yescharacteristic
746C22×C43C22×#4111yescharacteristic
747C22×C43#58511yescharacteristic
748C22×C43#58511yescharacteristic
749C2×D43—22no—
750C2×D43—22no—
751C2×D43—22no—
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—22no—
756C2×D43—22no—
757C2×D43—22no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43#52514yes—
770C4×C43—22no—
771C4×C43—22no—
772C4×C43—22no—
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43#53214yes—
783Dic43—22no—
784Dic43—22no—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796C2×#529—431no—
797C2×C4×#41—431no—
798#2611—431no—
799#2611—431no—
800#2610—431no—
801#2610—431no—
802#2604—431no—
803#2604—431no—
804#2603—431no—
805#2603—431no—
806#2564—431no—
807#2564—431no—
808#2543—431no—
809#2543—431no—
810#2498—431no—
811#2498—431no—
812#2430—431no—
813#2430—431no—
814#2399—431no—
815#2398—431no—
816#2398—431no—
817#2397—431no—
818C4×#121—431no—
819C4×#121—431no—
820C4×#121—431no—
821C4×#121—431no—
822#2290—431no—
823#2290—431no—
824#2290—431no—
825#2290D4311yescharacteristic, complemented
826C2×#376—431no—
827C2×C43—42no—
828C2×C43—81no—
829C2×C43C2×#52511yescharacteristic
830C2×C43C2×#53211yescharacteristic
831C2×C43#344911yescharacteristic
832C2×C43#347511yescharacteristic
833C2×C43#347511yescharacteristic
834C2×C43#347511yescharacteristic
835C2×C43#347511yescharacteristic
836D43—24no—
837D43—42no—
838D43—81no—
839C22×#41—431no—
840#529—868no—
841C2×#126—431no—
842C2×#126—431no—
843C2×#125—431no—
844C2×#124—431no—
845C2×#123—431no—
846C2×#123—431no—
847C2×C22⋊Q8—431no—
848C2×#121—431no—
849C2×#121—431no—
850C2×#121—431no—
851C2×#121—431no—
852C2×#121—431no—
853C4×#41—868no—
854C2×C4×Q8—431no—
855C2×C4×Q8—431no—
856C2×C4×Q8—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4—431no—
864C2×C4×D4—431no—
865C2×C4×D4—431no—
866C2×C4×D4—431no—
867C2×C4×D4—431no—
868C2×C4×D4—431no—
869C2×C4×D4C2×D4311yescharacteristic
870C2×#117—431no—
871C2×#117—431no—
872C2×#117—431no—
873C2×#117—431no—
874C2×#117C2×D4311yescharacteristic
875C22×C42—431no—
876C22×C42—431no—
877C22×C42—431no—
878C22×C42—431no—
879C22×C42C2×D4311yescharacteristic
880#400—431no—
881#400—431no—
882#400—431no—
883#400—431no—
884#399—431no—
885#399—431no—
886#399—431no—
887#399—431no—
888#398—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#397—431no—
893#397—431no—
894#397—431no—
895#397—431no—
896#395—431no—
897#395—431no—
898#395—431no—
899#395—431no—
900#394—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#393—431no—
905#393—431no—
906#393—431no—
907#393—431no—
908#392—431no—
909#392—431no—
910#392—431no—
911#392—431no—
912#390—431no—
913#390—431no—
914#390—431no—
915#390—431no—
916#389—431no—
917#389—431no—
918#389—431no—
919#389—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—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#388C2×D4311yescharacteristic
935#388C2×D4311yescharacteristic
936#387—431no—
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
941#387—431no—
942#387C2×D4311yescharacteristic
943#387C2×D4311yescharacteristic
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#386C2×D4311yescharacteristic
959#386C2×D4311yescharacteristic
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385C2×D4311yescharacteristic
967#385C2×D4311yescharacteristic
968#380—431no—
969#380—431no—
970#380—431no—
971#380—431no—
972C4×C4⋊C4—431no—
973C4×C4⋊C4—431no—
974C4×C4⋊C4—431no—
975C4×C4⋊C4C2×D4311yescharacteristic
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C4×C22⋊C4—431no—
980C4×C22⋊C4—431no—
981C4×C22⋊C4—431no—
982C4×C22⋊C4C2×D4311yescharacteristic
983C4×C22⋊C4C2×D4311yescharacteristic
984#376—431no—
985#376—431no—
986#376—431no—
987#376—431no—
988#376—431no—
989#376—431no—
990#376—431no—
991#376C2×D4311yescharacteristic
992C2×#95—431no—
993C2×#95—431no—
994C2×#95—431no—
995C2×#95—431no—
996C43#3487611yescharacteristic, complemented, Sylow
997C2×#41—864no—
998C2×#41—864no—
999C2×#41—864no—
1000C22×Q8—431no—
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C22×D4—431no—
1010C22×D4—431no—
1011C22×D4C22×D4311yescharacteristic
1012C23×C4—431no—
1013C23×C4—431no—
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×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C23×C4C22×D4311yescharacteristic
1027#126—864no—
1028#126—864no—
1029#125—864no—
1030#124—864no—
1031#123—864no—
1032#123—864no—
1033C22⋊Q8—864no—
1034#121—864no—
1035#121—864no—
1036#121—864no—
1037#121—864no—
1038#121—864no—
1039C4×Q8—864no—
1040C4×Q8—864no—
1041C4×Q8—864no—
1042C4×D4—24no—
1043C4×D4—864no—
1044C4×D4—864no—
1045C4×D4—864no—
1046C4×D4—864no—
1047C4×D4—864no—
1048C4×D4—864no—
1049C4×D4—864no—
1050C4×D4—864no—
1051C4×D4—864no—
1052C4×D4—864no—
1053C4×D4—864no—
1054C4×D4—864no—
1055#117—24no—
1056#117—864no—
1057#117—864no—
1058#117—864no—
1059#117—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⋊C4C22×D4311yescharacteristic
1084C2×C4⋊C4C22×D4311yescharacteristic
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4C22×D4311yescharacteristic
1121C2×C22⋊C4C22×D4311yescharacteristic
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×C42—24no—
1129C2×C42—431no—
1130C2×C42—431no—
1131C2×C42—431no—
1132C2×C42—431no—
1133C2×C42—438no—
1134C2×C42—431no—
1135C2×C42—431no—
1136C2×C42—431no—
1137C2×C42—431no—
1138C2×C42—431no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—864no—
1144C2×C42—864no—
1145C2×C42—864no—
1146C2×C42C22×D4311yescharacteristic
1147C2×C42C22×D4311yescharacteristic
1148C2×C42C22×D4311yescharacteristic
1149C2×C42C22×D4311yescharacteristic
1150C2×C42C22×D4311yescharacteristic
1151C2×C42C22×D4311yescharacteristic
1152C2×C42C22×D4311yescharacteristic
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#95—431no—
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188#95C22×D4311yescharacteristic
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193C24—431no—
1194C24—431no—
1195C24—431no—
1196C24C23×D4311yescharacteristic
1197C24C23×D4311yescharacteristic
1198#41—8632no—
1199C2×Q8—862no—
1200C2×Q8—862no—
1201C2×Q8—862no—
1202C2×Q8—862no—
1203C2×Q8—1721no—
1204C2×Q8—1721no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—434no—
1209C2×D4—434no—
1210C2×D4—862no—
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—862no—
1227C2×D4—862no—
1228C2×D4—862no—
1229C2×D4—862no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C2×D4—1721no—
1233C2×D4—1721no—
1234C2×D4—1721no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—434no—
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—862no—
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—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
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×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
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
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
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—1721no—
1332C4⋊C4—1721no—
1333C4⋊C4—1721no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
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—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—862no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—434no—
1380C42—434no—
1381C42—434no—
1382C42—434no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—862no—
1391C42—862no—
1392C42#1062189814yescomplemented
1393C42D4×D4314yes—
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—432no—
1408C23—432no—
1409C23—432no—
1410C23—432no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23#41×D4312yes—
1429C23C24×D4311yescharacteristic
1430Q8—868no—
1431Q8—1724no—
1432D4—44no—
1433D4—868no—
1434D4—868no—
1435D4—868no—
1436D4—1724no—
1437D4—1724no—
1438D4—1724no—
1439D4—1724no—
1440D4—1724no—
1441D4—1724no—
1442C2×C4—28no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
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—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—432no—
1478C2×C4—432no—
1479C2×C4—432no—
1480C2×C4—432no—
1481C2×C4—432no—
1482C2×C4—432no—
1483C2×C4—868no—
1484C2×C4—868no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—868no—
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—1724no—
1520C2×C4—1724no—
1521C2×C4—1724no—
1522C2×C4—1724no—
1523C2×C4—1724no—
1524C2×C4—1724no—
1525C2×C4—1724no—
1526C2×C4—1724no—
1527C2×C4C2×D4×D4312yes—
1528C2×C4C2×D4×D4312yes—
1529C2×C4C2×D4×D4312yes—
1530C2×C4#41×D4312yes—
1531C2×C4#41×D4312yes—
1532C2×C4C2×#1062189812yes—
1533C2×C4C2×#1062189812yes—
1534C2×C4C2×#1062189812yes—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—434no—
1550C22—862no—
1551C22—862no—
1552C22—862no—
1553C22—862no—
1554C22—862no—
1555C22—862no—
1556C22—862no—
1557C22—862no—
1558C22—862no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22C22×D4×D4311yescharacteristic
1571C22C2×#41×D4311yescharacteristic
1572C22C2×#41×D4311yescharacteristic
1573C22C2×#41×D4311yescharacteristic
1574C22C22×#1062189811yescharacteristic
1575C22#1458373511yescharacteristic
1576C22#1458373511yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—862no—
1590C4—862no—
1591C4—862no—
1592C4—862no—
1593C4—862no—
1594C4—862no—
1595C4—1721no—
1596C4—1721no—
1597C4—1721no—
1598C4—1721no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4#1458344614yes—
1603C2—42no—
1604C2—81no—
1605C2—864no—
1606C2—3441no—
1607C2—1722no—
1608C2#525×D4311yescharacteristic
1609C2C2×#1458344611yescharacteristic
1610C2#1914792511yescharacteristic
1611C2#1914814711yescharacteristic
1612C2#1914814911yescharacteristic
1613C2#1914815111yescharacteristic
1614C2#1914815911yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2290C2
hypercenter#2290D43
hypocenterC43#34876
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#14583427C2semidirect
2. C2×C4×#10621898C2semidirect
3. #19140291C2semidirect
4. #19140289C2semidirect
5. #19140280C2semidirect
6. #19140278C2semidirect
7. #19140232C2semidirect
8. #19140230C2semidirect
9. #19140221C2semidirect
10. #19140219C2semidirect
11. #19139780C2semidirect
12. #19139774C2semidirect
13. #19139560C2semidirect
14. #19139554C2semidirect
15. #19139038C2semidirect
16. #19139036C2semidirect
17. #19138204C2semidirect
18. #19138202C2semidirect
19. #19137889C2semidirect
20. #19137882C2semidirect
21. #19137882C2semidirect
22. #19137874C2semidirect
23. C4×#13063300C2semidirect
24. C4×#13063298C2semidirect
25. C4×#13063298C2semidirect
26. C4×#13063296C2semidirect
27. #19137039C2semidirect
28. #19137038C2semidirect
29. #19137032C2semidirect
30. #376×D43C2semidirect
31. C43×#2290C2semidirect
316. C42×D43D4semidirect
517. C42×C43#41semidirect
585. C4×Dic43#41semidirect
825. #2290D43semidirect
996. C43#34876semidirect
1392. C42#10621898semidirect

Maximal subgroups

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

subgroupindex
C2×#145834272
C2×C4×#106218982
#191402912
#191402892
#191402802
#191402782
#191402322
#191402302
#191402212
#191402192
#191397802
#191397742
#191395602
#191395542
#191390382
#191390362
#191382042
#191382022
#191378892
#191378822
#191378742
C4×#130633002
C4×#130632982
C4×#130632962
#191370392
#191370382
#191370322
#376×D432
C43×#22902
#3487643