Finite Group Databasebeta

← #25304013

Subgroups — #25304013

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×#14583482C211yesmaximal, characteristic
3#19142945C211yesmaximal, characteristic, complemented
4#19142892C211yesmaximal, characteristic, complemented
5#19141198C211yesmaximal, characteristic, complemented
6#19141196C211yesmaximal, characteristic, complemented
7#19141174C211yesmaximal, characteristic, complemented
8#19141172C211yesmaximal, characteristic, complemented
9#19141053C211yesmaximal, characteristic, complemented
10#19141047C211yesmaximal, characteristic, complemented
11#19141023C211yesmaximal, characteristic, complemented
12#19141017C211yesmaximal, characteristic, complemented
13#19140952C211yesmaximal, characteristic, complemented
14#19140950C211yesmaximal, characteristic, complemented
15#19140936C211yesmaximal, characteristic, complemented
16#19140934C211yesmaximal, characteristic, complemented
17#19140883C211yesmaximal, characteristic, complemented
18#19140877C211yesmaximal, characteristic, complemented
19#19140853C211yesmaximal, characteristic, complemented
20#19140847C211yesmaximal, characteristic, complemented
21#19140712C211yesmaximal, characteristic, complemented
22#19140525C211yesmaximal, characteristic, complemented
23#19139777C211yesmaximal, characteristic, complemented
24#19139771C211yesmaximal, characteristic, complemented
25#19138040C211yesmaximal, characteristic, complemented
26#19137990C211yesmaximal, characteristic, complemented
27#19137990C211yesmaximal, characteristic, complemented
28#19137988C211yesmaximal, characteristic, complemented
29#19137988C211yesmaximal, characteristic, complemented
30C2×#14582789C211yesmaximal, characteristic, complemented
31C43×#2417C211yesmaximal, characteristic, complemented
32#14583524—28no—
33#14583482—28no—
34C2×#13063324C2211yescharacteristic, complemented
35C2×#13063320C2211yescharacteristic
36C2×#13063319C2211yescharacteristic
37C2×#13063313C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063308C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063307C2211yescharacteristic
46C2×#13063305C2211yescharacteristic
47C2×#13063305C2211yescharacteristic
48C2×#13063305C2211yescharacteristic, complemented
49C2×#13063304C2211yescharacteristic
50C2×#13063303C2211yescharacteristic
51C2×#13063303C2211yescharacteristic
52C2×#13063303C2211yescharacteristic
53C2×#13063303C2211yescharacteristic
54C2×#13063302C2211yescharacteristic
55C2×#13063302C2211yescharacteristic
56C2×#13063302C2211yescharacteristic
57C2×#13063301C2211yescharacteristic
58C2×#13063301C2211yescharacteristic
59C2×#13063299C2211yescharacteristic
60C2×#13063298C2211yescharacteristic
61C2×#13063297C2211yescharacteristic
62C2×#13063295C2211yescharacteristic
63C2×#13063293C2211yescharacteristic
64C2×C4×C22⋊D43C2211yescharacteristic
65C22×(C2×D43)⋊C4C2211yescharacteristic
66C22×(C2×D43)⋊C4C2211yescharacteristic
67C22×(C2×D43)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C22×C4×Dic43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582838C2211yescharacteristic, complemented
74#14582837C2211yescharacteristic, complemented
75#14582835C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582829C2211yescharacteristic, complemented
82#14582829C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic
84#14582828C2211yescharacteristic
85#14582828C2211yescharacteristic
86#14582828C2211yescharacteristic
87#14582828C2211yescharacteristic, complemented
88#14582827C2211yescharacteristic, complemented
89#14582826C2211yescharacteristic
90#14582826C2211yescharacteristic
91#14582825C2211yescharacteristic
92#14582825C2211yescharacteristic
93#14582821C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582820C2211yescharacteristic, complemented
96#14582820C2211yescharacteristic, complemented
97#14582819C2211yescharacteristic, complemented
98#14582819C2211yescharacteristic, complemented
99#14582819C2211yescharacteristic, complemented
100#14582818C2211yescharacteristic, complemented
101#14582817C2211yescharacteristic
102#14582817C2211yescharacteristic
103#14582816C2211yescharacteristic
104#14582816C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582815C2211yescharacteristic
107#14582815C2211yescharacteristic, complemented
108#14582814C2211yescharacteristic
109#14582814C2211yescharacteristic
110#14582814C2211yescharacteristic, complemented
111#14582812C2211yescharacteristic, complemented
112#14582811C2211yescharacteristic, complemented
113#14582811C2211yescharacteristic, complemented
114#14582810C2211yescharacteristic, complemented
115#14582804C2211yescharacteristic, complemented
116#14582803C2211yescharacteristic, complemented
117#14582803C2211yescharacteristic, complemented
118#14582803C2211yescharacteristic, complemented
119#14582799C2211yescharacteristic, complemented
120#14582798C2211yescharacteristic, complemented
121#14582798C2211yescharacteristic, complemented
122#14582796C2211yescharacteristic, complemented
123#14582796C2211yescharacteristic, complemented
124#14582795C2211yescharacteristic, complemented
125#14582792C2211yescharacteristic, complemented
126#14582791C2211yescharacteristic, complemented
127#14582789C2211yescharacteristic
128#14582789C2211yescharacteristic
129#14582789C2211yescharacteristic
130#14582789C2211yescharacteristic
131#14582789C2211yescharacteristic
132#14582789C2211yescharacteristic
133#14582789C2211yescharacteristic
134#14582789C2211yescharacteristic
135#14582788C2211yescharacteristic, complemented
136#14582787C2211yescharacteristic, complemented
137#14582783C2211yescharacteristic, complemented
138#14582783C2211yescharacteristic, complemented
139#14582780C2211yescharacteristic, complemented
140#14582780C2211yescharacteristic, complemented
141#14582779C2211yescharacteristic
142#14582779C2211yescharacteristic
143#14582778C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582776C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic
151#14582773C2211yescharacteristic
152#14582773C2211yescharacteristic
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582768C2211yescharacteristic, complemented
160#14582763C2211yescharacteristic, complemented
161#14582761C2211yescharacteristic
162#14582761C2211yescharacteristic
163#14582761C2211yescharacteristic
164#14582761C2211yescharacteristic
165#14582759C2211yescharacteristic
166#14582759C2211yescharacteristic
167#14582757C2211yescharacteristic
168#14582757C2211yescharacteristic
169#14582757C2211yescharacteristic
170#14582757C2211yescharacteristic
171#14582756C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic
173C2×C43⋊#95C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C2×C4×D4×C43C2211yescharacteristic
177C22×C4⋊C4×C43C2211yescharacteristic
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#396C2211yescharacteristic, complemented
181C43×#396C2211yescharacteristic, complemented
182C43×#391C2211yescharacteristic, complemented
183C43×#389C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C43×#380C2211yescharacteristic
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063324—42no—
209#13063320—24no—
210#13063319—24no—
211#13063313—24no—
212#13063311—24no—
213#13063311—42no—
214#13063310—24no—
215#13063310—42no—
216#13063310—42no—
217#13063308—24no—
218#13063307—42no—
219#13063307—42no—
220#13063305—24no—
221#13063305—24no—
222#13063305—42no—
223#13063304—24no—
224#13063303—24no—
225#13063303—24no—
226#13063303—24no—
227#13063303—24no—
228#13063302—24no—
229#13063302—24no—
230#13063302—24no—
231#13063301—24no—
232#13063301—24no—
233#13063299—24no—
234#13063298—24no—
235#13063297—24no—
236#13063295—24no—
237#13063293—24no—
238C4×C22⋊D43—24no—
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×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×(C2×D43)⋊C4—42no—
274C2×(C2×D43)⋊C4—42no—
275C2×(C2×D43)⋊C4D418yes—
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×(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
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C22⋊C4×D43—24no—
307C22⋊C4×D43—24no—
308C2×C4×Dic43—42no—
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
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
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C22⋊Q8×C43—24no—
353C22⋊Q8×C43—42no—
354C4×D4×C43—24no—
355C2×C4⋊C4×C43—42no—
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×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊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×C42×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×D43—22no—
388C23×D43—22no—
389C23×D43—41no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43C2×D414yes—
394C23×D43C2411yescharacteristic
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—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43C2×D414yes—
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
427C22×C4×C43C2411yescharacteristic
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—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43—41no—
448C22×Dic43C2×D414yes—
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—41no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
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×D43—41no—
482C2×C4×D43—41no—
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—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C42×C43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—41no—
522C22⋊Dic43—41no—
523C22⋊Dic43—41no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—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—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4C2×D414yes—
551(C2×D43)⋊C4C2×D414yes—
552(C2×D43)⋊C4C2×D414yes—
553(C2×D43)⋊C4C2×D414yes—
554C4⋊Dic43—22no—
555C4⋊Dic43—22no—
556C4⋊Dic43—22no—
557C4⋊Dic43—22no—
558C4⋊Dic43—22no—
559C4⋊Dic43—41no—
560C4⋊Dic43—41no—
561C4⋊Dic43—41no—
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—22no—
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×C43C22×D412yes—
597C23×C432−1+412yes—
598C23×C432−1+412yes—
599C23×C43C2511yescharacteristic
600C22×D43—21no—
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—28no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—44no—
621C22×D43—44no—
622C22×D43—82no—
623C22×D43—82no—
624C22×D43—82no—
625C22×D43—82no—
626C22×D43C22×D412yes—
627C22×D43C22×D412yes—
628Q8×C43—82no—
629D4×C43—44no—
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—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—44no—
667C2×C4×C43—44no—
668C2×C4×C43—82no—
669C2×C4×C43—82no—
670C2×C4×C43C22×D412yes—
671C2×C4×C43C22×D412yes—
672C2×C4×C43H(5,𝔽2)12yes—
673C22⋊D43—44no—
674C22⋊D43—82no—
675C22⋊D43—82no—
676C22⋊D43—82no—
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—44no—
714C2×Dic43—44no—
715C2×Dic43—82no—
716C2×Dic43C22×D412yes—
717C2×Dic43C22×D412yes—
718C2×Dic43H(5,𝔽2)12yes—
719D172—82no—
720D172—82no—
721C4×D43—82no—
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—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43#53614yes—
745C22×C43C23×D411yescharacteristic
746C22×C43C2×H(5,𝔽2)11yescharacteristic
747C22×C43C2×H(5,𝔽2)11yescharacteristic
748C22×C43C2×2−1+411yescharacteristic
749C22×C43C2×2−1+411yescharacteristic
750C22×C43#58511yescharacteristic
751C22×C43#58511yescharacteristic
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—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—88no—
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—
786C4×C43—41no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
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#2672—431no—
820#2659—431no—
821#2639—431no—
822#2564—431no—
823#2564—431no—
824#2417—431no—
825#2417D4311yescharacteristic, complemented
826#2412—431no—
827#2412—431no—
828#2412—431no—
829#2412—431no—
830C2×#388—431no—
831C2×C43—24no—
832C2×C43—81no—
833C2×C43C2×#53611yescharacteristic
834C2×C43#349611yescharacteristic
835C2×C43#349611yescharacteristic
836C2×C43#353511yescharacteristic
837C2×C43#353611yescharacteristic
838C2×C43#356111yescharacteristic
839C2×C43#356411yescharacteristic
840D43—42no—
841D43—42no—
842D43—81no—
843#543—868no—
844#538—868no—
845C2×C4⋊Q8—431no—
846C2×#126—431no—
847C2×#126—431no—
848C2×#124—431no—
849C2×#124—431no—
850C2×#124—431no—
851C2×#123—431no—
852C2×#123—431no—
853C2×#123—431no—
854C2×#123—431no—
855C2×#123—431no—
856C2×#123—431no—
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⋊Q8C2×D4311yescharacteristic
871C2×C22⋊Q8C2×D4311yescharacteristic, complemented
872C2×#121—431no—
873C2×#121—431no—
874C2×#121—431no—
875C2×#120—431no—
876C2×#120—431no—
877C2×C4×D4—431no—
878C2×C4×D4C2×D4311yescharacteristic
879C22×C4⋊C4C2×D4311yescharacteristic
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#399—431no—
892#398—431no—
893#398—431no—
894#398—431no—
895#398—431no—
896#398—431no—
897#398—431no—
898#398C2×D4311yescharacteristic, complemented
899#398C2×D4311yescharacteristic, complemented
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#396C2×D4311yescharacteristic, complemented
913#396C2×D4311yescharacteristic, complemented
914#395—431no—
915#395—431no—
916#395—431no—
917#395—431no—
918#395—431no—
919#395—431no—
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
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#391C2×D4311yescharacteristic, complemented
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#388—431no—
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#386C2×D4311yescharacteristic
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#385—431no—
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#380C2×D4311yescharacteristic
996#380C2×D4311yescharacteristic
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×D4—431no—
1012C22×D4—431no—
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×C4C22×D4311yescharacteristic
1023C23×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026C4⋊Q8—1722no—
1027#126—864no—
1028#126—864no—
1029#124—864no—
1030#124—864no—
1031#124—1722no—
1032#123—864no—
1033#123—864no—
1034#123—1722no—
1035#123—1722no—
1036#123—1722no—
1037#123—1722no—
1038C22⋊Q8—24no—
1039C22⋊Q8—42no—
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—864no—
1052C22⋊Q8—1722no—
1053#121—864no—
1054#121—864no—
1055#121—864no—
1056#120—864no—
1057#120—864no—
1058C4×D4—24no—
1059C4×D4—864no—
1060C2×C4⋊C4—42no—
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⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
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—438no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—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—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—864no—
1139C2×C22⋊C4—864no—
1140C2×C22⋊C4—1722no—
1141C2×C22⋊C4—1722no—
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#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
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—431no—
1201C24—862no—
1202C24—862no—
1203C24—1721no—
1204C24—1721no—
1205C24—1721no—
1206C24—1721no—
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—862no—
1228C2×D4—862no—
1229C2×D4—862no—
1230C2×D4—862no—
1231C2×D4—862no—
1232C2×D4—862no—
1233C2×D4—862no—
1234C2×D4—862no—
1235C2×D4—1721no—
1236C2×D4—1721no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—431no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—434no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—431no—
1266C22×C4—431no—
1267C22×C4—431no—
1268C22×C4—431no—
1269C22×C4—431no—
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—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×C4D4×D4314yes—
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
1306C22×C4C23×D4311yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
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—862no—
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—434no—
1354C22⋊C4—434no—
1355C22⋊C4—434no—
1356C22⋊C4—434no—
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—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—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
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—432no—
1409C23—432no—
1410C23—868no—
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—861no—
1429C23—861no—
1430C23—3442no—
1431C23—3442no—
1432C23—3442no—
1433C23—3442no—
1434C23—1724no—
1435C23—1724no—
1436C23C2×D4×D4312yes—
1437C23#1306337212yes—
1438C23#1306337312yes—
1439C23C24×D4311yescharacteristic
1440Q8—82no—
1441Q8—3442no—
1442Q8—3442no—
1443Q8—3442no—
1444Q8—3442no—
1445D4—44no—
1446D4—3442no—
1447D4—3442no—
1448D4—3442no—
1449D4—3442no—
1450D4—3442no—
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—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—432no—
1493C2×C4—432no—
1494C2×C4—432no—
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—861no—
1530C2×C4—861no—
1531C2×C4—3442no—
1532C2×C4—3442no—
1533C2×C4—3442no—
1534C2×C4—3442no—
1535C2×C4—3442no—
1536C2×C4—3442no—
1537C2×C4—1724no—
1538C2×C4—1724no—
1539C2×C4C2×D4×D4312yes—
1540C2×C4C2×D4×D4312yes—
1541C2×C4#1306337012yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—862no—
1556C22—862no—
1557C22—862no—
1558C22—862no—
1559C22—862no—
1560C22—862no—
1561C22—3448no—
1562C22—1721no—
1563C22—1721no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22—1721no—
1576C22—1721no—
1577C22#1458347214yes—
1578C22C22×D4×D4311yescharacteristic
1579C22H(5,𝔽2)×D4311yescharacteristic
1580C22C2×#1306337011yescharacteristic
1581C22C2×#1306337211yescharacteristic
1582C22C2×#1306337311yescharacteristic
1583C22#1458373511yescharacteristic
1584C22#1458373611yescharacteristic
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—41no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C4—1721no—
1610C4—1721no—
1611C2—24no—
1612C2—81no—
1613C2—3441no—
1614C2—1722no—
1615C2—1722no—
1616C2C2×#1458347211yescharacteristic
1617C2#1914835211yescharacteristic
1618C2#1914835811yescharacteristic
1619C2#1914879911yescharacteristic
1620C2#1914881011yescharacteristic
1621C2#1914916111yescharacteristic
1622C2#1914921511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2417C2
prime radicalC2×#14583482C2
hypercenter#2417D43
hypocenterC43#36740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2417

Complements

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

NH ≅ G/Ntype
1. C2×#14583524C2semidirect
3. #19142945C2semidirect
4. #19142892C2semidirect
5. #19141198C2semidirect
6. #19141196C2semidirect
7. #19141174C2semidirect
8. #19141172C2semidirect
9. #19141053C2semidirect
10. #19141047C2semidirect
11. #19141023C2semidirect
12. #19141017C2semidirect
13. #19140952C2semidirect
14. #19140950C2semidirect
15. #19140936C2semidirect
16. #19140934C2semidirect
17. #19140883C2semidirect
18. #19140877C2semidirect
19. #19140853C2semidirect
20. #19140847C2semidirect
21. #19140712C2semidirect
22. #19140525C2semidirect
23. #19139777C2semidirect
24. #19139771C2semidirect
25. #19138040C2semidirect
26. #19137990C2semidirect
27. #19137990C2semidirect
28. #19137988C2semidirect
29. #19137988C2semidirect
30. C2×#14582789C2semidirect
31. C43×#2417C2semidirect
34. C2×#13063324C22semidirect
39. C2×#13063311C22semidirect
48. C2×#13063305C22semidirect
71. #14582841C22semidirect
72. #14582840C22semidirect
73. #14582838C22semidirect
74. #14582837C22semidirect
75. #14582835C22semidirect
76. #14582834C22semidirect
77. #14582833C22semidirect
78. #14582833C22semidirect
79. #14582832C22semidirect
80. #14582832C22semidirect
81. #14582829C22semidirect
82. #14582829C22semidirect
87. #14582828C22semidirect
88. #14582827C22semidirect
93. #14582821C22semidirect
94. #14582821C22semidirect
95. #14582820C22semidirect
96. #14582820C22semidirect
97. #14582819C22semidirect
98. #14582819C22semidirect
99. #14582819C22semidirect
100. #14582818C22semidirect
107. #14582815C22semidirect
110. #14582814C22semidirect
111. #14582812C22semidirect
112. #14582811C22semidirect
113. #14582811C22semidirect
114. #14582810C22semidirect
115. #14582804C22semidirect
116. #14582803C22semidirect
117. #14582803C22semidirect
118. #14582803C22semidirect
119. #14582799C22semidirect
120. #14582798C22semidirect
121. #14582798C22semidirect
122. #14582796C22semidirect
123. #14582796C22semidirect
124. #14582795C22semidirect
125. #14582792C22semidirect
126. #14582791C22semidirect
135. #14582788C22semidirect
136. #14582787C22semidirect
137. #14582783C22semidirect
138. #14582783C22semidirect
139. #14582780C22semidirect
140. #14582780C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582768C22semidirect
160. #14582763C22semidirect
171. #14582756C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
180. C43×#396C22semidirect
181. C43×#396C22semidirect
182. C43×#391C22semidirect
183. C43×#389C22semidirect
188. C43×#380C22semidirect
825. #2417D43semidirect
871. C2×C22⋊Q8C2×D43semidirect
898. #398C2×D43semidirect
899. #398C2×D43semidirect
912. #396C2×D43semidirect
913. #396C2×D43semidirect
938. #391C2×D43semidirect
945. #389C2×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×#145834822
#191429452
#191428922
#191411982
#191411962
#191411742
#191411722
#191410532
#191410472
#191410232
#191410172
#191409522
#191409502
#191409362
#191409342
#191408832
#191408772
#191408532
#191408472
#191407122
#191405252
#191397772
#191397712
#191380402
#191379902
#191379882
C2×#145827892
C43×#24172
#3674043