Finite Group Databasebeta

← #25304487

Subgroups — #25304487

Order 11008.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142938C211yesmaximal, characteristic, complemented
2#19142901C211yesmaximal, characteristic, complemented
3#19142532C211yesmaximal, characteristic, complemented
4#19142527C211yesmaximal, characteristic, complemented
5#19142456C211yesmaximal, characteristic, complemented
6#19142451C211yesmaximal, characteristic, complemented
7#19142405C211yesmaximal, characteristic, complemented
8#19142397C211yesmaximal, characteristic, complemented
9#19141879C211yesmaximal, characteristic, complemented
10#19141867C211yesmaximal, characteristic, complemented
11#19141864C211yesmaximal, characteristic, complemented
12#19141860C211yesmaximal, characteristic, complemented
13#19141355C211yesmaximal, characteristic, complemented
14#19141351C211yesmaximal, characteristic, complemented
15#19141207C211yesmaximal, characteristic, complemented
16#19141202C211yesmaximal, characteristic, complemented
17#19140861C211yesmaximal, characteristic, complemented
18#19140854C211yesmaximal, characteristic, complemented
19#19140335C211yesmaximal, characteristic, complemented
20#19140335C211yesmaximal, characteristic, complemented
21#19138351C211yesmaximal, characteristic, complemented
22#19138343C211yesmaximal, characteristic, complemented
23#19138330C211yesmaximal, characteristic, complemented
24#19138137C211yesmaximal, characteristic, complemented
25#19138133C211yesmaximal, characteristic, complemented
26#19138129C211yesmaximal, characteristic, complemented
27#19138125C211yesmaximal, characteristic, complemented
28#19137296C211yesmaximal, characteristic, complemented
29#19137293C211yesmaximal, characteristic, complemented
30C2×#14582789C211yesmaximal, characteristic, complemented
31C43×#2443C211yesmaximal, characteristic, complemented
32C2×#13063321C2211yescharacteristic, complemented
33C2×#13063315C2211yescharacteristic, complemented
34C2×#13063310C2211yescharacteristic, complemented
35C2×#13063300C2211yescharacteristic
36C2×#13063299C2211yescharacteristic
37C2×#13063299C2211yescharacteristic
38C2×#13063298C2211yescharacteristic
39C2×#13063297C2211yescharacteristic
40C2×#13063297C2211yescharacteristic
41C2×#13063297C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063297C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C2×D4×Dic43C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C22×(C2×D43)⋊C4C2211yescharacteristic
52C22×(C2×D43)⋊C4C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C22×C4×Dic43C2211yescharacteristic
55#14582840C2211yescharacteristic, complemented
56#14582839C2211yescharacteristic, complemented
57#14582834C2211yescharacteristic, complemented
58#14582832C2211yescharacteristic, complemented
59#14582828C2211yescharacteristic
60#14582828C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic, complemented
64#14582827C2211yescharacteristic, complemented
65#14582826C2211yescharacteristic, complemented
66#14582825C2211yescharacteristic, complemented
67#14582824C2211yescharacteristic, complemented
68#14582823C2211yescharacteristic
69#14582821C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582817C2211yescharacteristic
73#14582817C2211yescharacteristic
74#14582817C2211yescharacteristic
75#14582817C2211yescharacteristic
76#14582817C2211yescharacteristic
77#14582817C2211yescharacteristic
78#14582816C2211yescharacteristic
79#14582816C2211yescharacteristic
80#14582816C2211yescharacteristic, complemented
81#14582815C2211yescharacteristic
82#14582815C2211yescharacteristic
83#14582815C2211yescharacteristic, complemented
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic
87#14582814C2211yescharacteristic
88#14582814C2211yescharacteristic
89#14582814C2211yescharacteristic
90#14582814C2211yescharacteristic, complemented
91#14582809C2211yescharacteristic
92#14582808C2211yescharacteristic
93#14582808C2211yescharacteristic
94#14582808C2211yescharacteristic
95#14582808C2211yescharacteristic
96#14582808C2211yescharacteristic
97#14582808C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582802C2211yescharacteristic, complemented
100#14582801C2211yescharacteristic
101#14582800C2211yescharacteristic
102#14582800C2211yescharacteristic, complemented
103#14582799C2211yescharacteristic
104#14582799C2211yescharacteristic
105#14582799C2211yescharacteristic, complemented
106#14582799C2211yescharacteristic, complemented
107#14582799C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582796C2211yescharacteristic, complemented
110#14582794C2211yescharacteristic, complemented
111#14582793C2211yescharacteristic, complemented
112#14582793C2211yescharacteristic, complemented
113#14582791C2211yescharacteristic
114#14582791C2211yescharacteristic, complemented
115#14582790C2211yescharacteristic
116#14582790C2211yescharacteristic, complemented
117#14582789C2211yescharacteristic
118#14582789C2211yescharacteristic
119#14582789C2211yescharacteristic
120#14582789C2211yescharacteristic
121#14582789C2211yescharacteristic
122#14582789C2211yescharacteristic
123#14582789C2211yescharacteristic
124#14582789C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582789C2211yescharacteristic, complemented
127#14582788C2211yescharacteristic
128#14582788C2211yescharacteristic, complemented
129#14582787C2211yescharacteristic, complemented
130#14582786C2211yescharacteristic, complemented
131#14582785C2211yescharacteristic, complemented
132#14582785C2211yescharacteristic, complemented
133#14582784C2211yescharacteristic, complemented
134#14582784C2211yescharacteristic, complemented
135#14582783C2211yescharacteristic, complemented
136#14582781C2211yescharacteristic, complemented
137#14582781C2211yescharacteristic, complemented
138#14582781C2211yescharacteristic, complemented
139#14582780C2211yescharacteristic, complemented
140#14582780C2211yescharacteristic, complemented
141#14582779C2211yescharacteristic
142#14582778C2211yescharacteristic
143#14582778C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582778C2211yescharacteristic
146#14582778C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582776C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582776C2211yescharacteristic, complemented
152#14582776C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582775C2211yescharacteristic, complemented
156#14582774C2211yescharacteristic
157#14582773C2211yescharacteristic, complemented
158#14582772C2211yescharacteristic
159#14582772C2211yescharacteristic, complemented
160#14582771C2211yescharacteristic
161#14582771C2211yescharacteristic, complemented
162#14582770C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582768C2211yescharacteristic, complemented
165#14582763C2211yescharacteristic, complemented
166#14582761C2211yescharacteristic, complemented
167#14582760C2211yescharacteristic, complemented
168#14582757C2211yescharacteristic
169#14582757C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic, complemented
173C2×#121×C43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C22×C4⋊C4×C43C2211yescharacteristic
176C43×#399C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#385C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063321—42no—
210#13063315—42no—
211#13063310—42no—
212#13063300—42no—
213#13063299—42no—
214#13063299—42no—
215#13063298—42no—
216#13063297—24no—
217#13063297—24no—
218#13063297—42no—
219#13063297—42no—
220#13063297—42no—
221#13063295—42no—
222#13063295—42no—
223#13063293—42no—
224#13063293—42no—
225D4×Dic43—42no—
226C4×C22⋊D43—42no—
227(C22⋊D43)⋊C4—42no—
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×(C2×D43)⋊C4—24no—
256C2×(C2×D43)⋊C4—42no—
257C2×(C2×D43)⋊C4—42no—
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×C4×Dic43—42no—
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C22×D4×C43C2311yescharacteristic
331C22×D4×C43C2311yescharacteristic
332C22×D4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C23×C4×C43C2311yescharacteristic
336C23×C4×C43C2311yescharacteristic
337#123×C43—42no—
338#121×C43—42no—
339C4×D4×C43—42no—
340C2×C4⋊C4×C43—42no—
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—41no—
376C23×D43—41no—
377C23×D43—41no—
378C23×D43—41no—
379C23×D43C2411yescharacteristic
380C23×D43C2411yescharacteristic
381C23×D43C2411yescharacteristic
382C23×D43C2411yescharacteristic
383C2×D4×C43—22no—
384C2×D4×C43—22no—
385C2×D4×C43—22no—
386C2×D4×C43—22no—
387C2×D4×C43—22no—
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—41no—
450C22×Dic43—41no—
451C22×Dic43—41no—
452C22×Dic43—41no—
453C22×Dic43—41no—
454C22×Dic43—41no—
455C22×Dic43—41no—
456C22×Dic43—41no—
457C22×Dic43#4114yes—
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C2×D172—22no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
478C2×D172—41no—
479C2×D172—41no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×D172—41no—
484C2×D172—41no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C42×C43—41no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—41no—
516C22⋊Dic43—41no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
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)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
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—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—41no—
577C4×Dic43—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43—41no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43C2×#4112yes—
600C23×C43H(5,𝔽2)12yes—
601C23×C43H(5,𝔽2)12yes—
602C23×C43C2511yescharacteristic
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—44no—
632C22×D43—44no—
633C22×D43—44no—
634C22×D43—82no—
635C22×D43—82no—
636C22×D43—82no—
637C22×D43—82no—
638D4×C43—44no—
639D4×C43—44no—
640D4×C43—82no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—44no—
677C2×C4×C43—44no—
678C2×C4×C43—82no—
679C2×C4×C43—82no—
680C2×C4×C43H(5,𝔽2)12yes—
681C22⋊D43—44no—
682C22⋊D43—44no—
683C22⋊D43—82no—
684C22⋊D43—82no—
685C22⋊D43—82no—
686C22⋊D43—82no—
687C22⋊D43—82no—
688C22⋊D43—82no—
689C22⋊D43—82no—
690C22⋊D43—82no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—44no—
725C2×Dic43—44no—
726C2×Dic43—82no—
727C2×Dic43—82no—
728C2×Dic43C2×#4112yes—
729C2×Dic43C2×#4112yes—
730C2×Dic43H(5,𝔽2)12yes—
731D172—82no—
732D172—82no—
733D172—82no—
734D172—82no—
735D172—82no—
736C4×D43—82no—
737C4×D43—82no—
738#36759—431nomaximal, Sylow
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—22no—
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43#54014yes—
760C22×C43C22×#4111yescharacteristic
761C22×C43C2×H(5,𝔽2)11yescharacteristic
762C22×C43C2×H(5,𝔽2)11yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43C2×H(5,𝔽2)11yescharacteristic
765C22×C43#58511yescharacteristic
766C22×C43#58511yescharacteristic
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—88no—
796C4×C43—22no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808Dic43—22no—
809Dic43—22no—
810Dic43—22no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820#2856—431no—
821#2851—431no—
822#2803—431no—
823#2803—431no—
824#2797—431no—
825#2797—431no—
826#2793—431no—
827#2793—431no—
828#2753—431no—
829#2753—431no—
830#2752—431no—
831#2752—431no—
832#2711—431no—
833#2711—431no—
834#2701—431no—
835#2701—431no—
836#2673—431no—
837#2673—431no—
838#2617—431no—
839#2617—431no—
840#2444—431no—
841#2444—431no—
842#2443—431no—
843#2443D4311yescharacteristic, complemented
844#2424—431no—
845#2424—431no—
846#2424—431no—
847#2424—431no—
848#2325—431no—
849#2325—431no—
850C2×#388—431no—
851C2×C43—24no—
852C2×C43—81no—
853C2×C43—81no—
854C2×C43C2×#54011yescharacteristic
855C2×C43#350511yescharacteristic
856C2×C43#350611yescharacteristic
857C2×C43#353411yescharacteristic
858C2×C43#353711yescharacteristic
859C2×C43#355811yescharacteristic
860C2×C43#356011yescharacteristic
861D43—81no—
862D43—81no—
863D43—81no—
864D43—81no—
865C2×#127—431no—
866C2×#125—431no—
867C2×#123—431no—
868C2×#123C2×D4311yescharacteristic, complemented
869C2×#121—431no—
870C2×#121—431no—
871C2×#121—431no—
872C2×#121—431no—
873C2×#121—431no—
874C2×#121—431no—
875C2×#121—431no—
876C2×#121—431no—
877C2×#121—431no—
878C2×#121C2×D4311yescharacteristic
879C2×#120—431no—
880C2×#120—431no—
881C2×#120—431no—
882C2×#120—431no—
883C2×C4×D4—431no—
884C2×C4×D4—431no—
885C2×C4×D4—431no—
886C2×C4×D4C2×D4311yescharacteristic
887C22×C4⋊C4C2×D4311yescharacteristic
888C22×C22⋊C4—431no—
889C22×C22⋊C4—431no—
890C22×C22⋊C4—431no—
891C22×C42—431no—
892#400—431no—
893#400—431no—
894#399—431no—
895#399C2×D4311yescharacteristic, complemented
896#398—431no—
897#398C2×D4311yescharacteristic, complemented
898#397—431no—
899#397—431no—
900#397—431no—
901#397—431no—
902#397—431no—
903#397—431no—
904#397—431no—
905#397—431no—
906#397—431no—
907#397C2×D4311yescharacteristic, complemented
908#396—431no—
909#396—431no—
910#396—431no—
911#396—431no—
912#394—431no—
913#394—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394—431no—
919#394—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#394—431no—
931#394C2×D4311yescharacteristic, complemented
932#392—431no—
933#392—431no—
934#392—431no—
935#392—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392—431no—
940#390—431no—
941#390—431no—
942#390—431no—
943#390—431no—
944#390—431no—
945#390—431no—
946#390—431no—
947#390—431no—
948#390—431no—
949#390—431no—
950#389—431no—
951#389—431no—
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388—431no—
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388C2×D4311yescharacteristic, complemented
972#387—431no—
973#387—431no—
974#387—431no—
975#387—431no—
976#387—431no—
977#387—431no—
978#387—431no—
979#387—431no—
980#387—431no—
981#387—431no—
982#387—431no—
983#387C2×D4311yescharacteristic, complemented
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386C2×D4311yescharacteristic
1000#386C2×D4311yescharacteristic
1001#386C2×D4311yescharacteristic
1002#385—431no—
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385—431no—
1009#385—431no—
1010#385C2×D4311yescharacteristic
1011#385C2×D4311yescharacteristic, complemented
1012#384—431no—
1013#382—431no—
1014#381—431no—
1015#381—431no—
1016#380—431no—
1017#380—431no—
1018C2×#95—431no—
1019C2×#95—431no—
1020C43#3675911yescharacteristic, complemented, Sylow
1021C25—431no—
1022C22×D4—431no—
1023C22×D4—431no—
1024C22×D4—431no—
1025C22×D4—431no—
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
1030C22×D4—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4C22×D4311yescharacteristic
1038C22×D4C22×D4311yescharacteristic
1039C22×D4C22×D4311yescharacteristic
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4C22×D4311yescharacteristic
1047C23×C4C22×D4311yescharacteristic
1048C23×C4C22×D4311yescharacteristic
1049C23×C4C22×D4311yescharacteristic
1050#127—1722no—
1051#125—1722no—
1052#123—42no—
1053#123—1722no—
1054#121—42no—
1055#121—864no—
1056#121—864no—
1057#121—1722no—
1058#121—1722no—
1059#121—1722no—
1060#121—1722no—
1061#121—1722no—
1062#121—1722no—
1063#121—1722no—
1064#120—1722no—
1065#120—1722no—
1066#120—1722no—
1067#120—1722no—
1068C4×D4—42no—
1069C4×D4—1722no—
1070C4×D4—1722no—
1071C4×D4—1722no—
1072C2×C4⋊C4—42no—
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—431no—
1090C2×C4⋊C4—431no—
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—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—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—864no—
1145C2×C22⋊C4—1722no—
1146C2×C22⋊C4—1722no—
1147C2×C22⋊C4C22×D4311yescharacteristic
1148C2×C22⋊C4C22×D4311yescharacteristic
1149C2×C22⋊C4C22×D4311yescharacteristic
1150C2×C22⋊C4C22×D4311yescharacteristic
1151C2×C22⋊C4C22×D4311yescharacteristic
1152C2×C22⋊C4C22×D4311yescharacteristic
1153C2×C22⋊C4C22×D4311yescharacteristic
1154C2×C22⋊C4C22×D4311yescharacteristic
1155C2×C22⋊C4C22×D4311yescharacteristic
1156C2×C22⋊C4C22×D4311yescharacteristic
1157C2×C22⋊C4C22×D4311yescharacteristic
1158C2×C42—431no—
1159C2×C42—431no—
1160C2×C42—431no—
1161C2×C42—431no—
1162C2×C42—431no—
1163C2×C42—431no—
1164C2×C42—431no—
1165C2×C42—1722no—
1166C2×C42C22×D4311yescharacteristic
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#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95C22×D4311yescharacteristic
1196#95C22×D4311yescharacteristic
1197#95C22×D4311yescharacteristic
1198#95C22×D4311yescharacteristic
1199#95C22×D4311yescharacteristic
1200#95C22×D4311yescharacteristic
1201#95C22×D4311yescharacteristic
1202#95C22×D4311yescharacteristic
1203C24—431no—
1204C24—431no—
1205C24—431no—
1206C24—431no—
1207C24—862no—
1208C24—862no—
1209C24—862no—
1210C24—1721no—
1211C24—1721no—
1212C24—1721no—
1213C24—1721no—
1214C24C23×D4311yescharacteristic
1215C24C23×D4311yescharacteristic
1216C24C23×D4311yescharacteristic
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—862no—
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—862no—
1236C2×D4—862no—
1237C2×D4—1721no—
1238C2×D4—1721no—
1239C2×D4—1721no—
1240C2×D4—1721no—
1241C2×D4—1721no—
1242C2×D4—1721no—
1243C2×D4—1721no—
1244C2×D4—1721no—
1245C2×D4—1721no—
1246C2×D4—1721no—
1247C2×D4—1721no—
1248C2×D4—1721no—
1249C2×D4—1721no—
1250C2×D4—1721no—
1251C2×D4—1721no—
1252C2×D4—1721no—
1253C2×D4—1721no—
1254C2×D4—1721no—
1255C2×D4—1721no—
1256C2×D4—1721no—
1257C2×D4—1721no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4—1721no—
1264C2×D4—1721no—
1265C2×D4—1721no—
1266C2×D4—1721no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—434no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—1721no—
1300C22×C4—1721no—
1301C22×C4—1721no—
1302C22×C4—1721no—
1303C22×C4—1721no—
1304C22×C4—1721no—
1305C22×C4—1721no—
1306C22×C4—1721no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4C23×D4311yescharacteristic
1314C22×C4C23×D4311yescharacteristic
1315C22×C4C23×D4311yescharacteristic
1316C22×C4C23×D4311yescharacteristic
1317C22×C4C23×D4311yescharacteristic
1318C22×C4C23×D4311yescharacteristic
1319C22×C4C23×D4311yescharacteristic
1320C22×C4C23×D4311yescharacteristic
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—862no—
1334C4⋊C4—862no—
1335C4⋊C4—862no—
1336C4⋊C4—862no—
1337C4⋊C4—862no—
1338C4⋊C4—1721no—
1339C4⋊C4—1721no—
1340C4⋊C4—1721no—
1341C4⋊C4—1721no—
1342C4⋊C4—1721no—
1343C4⋊C4—1721no—
1344C4⋊C4—1721no—
1345C4⋊C4—1721no—
1346C4⋊C4—1721no—
1347C4⋊C4—1721no—
1348C4⋊C4—1721no—
1349C4⋊C4—1721no—
1350C4⋊C4—1721no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
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—1721no—
1377C22⋊C4—1721no—
1378C22⋊C4—1721no—
1379C22⋊C4—1721no—
1380C22⋊C4—1721no—
1381C22⋊C4—1721no—
1382C22⋊C4—1721no—
1383C22⋊C4—1721no—
1384C22⋊C4—1721no—
1385C22⋊C4—1721no—
1386C22⋊C4—1721no—
1387C22⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C22⋊C4—1721no—
1395C22⋊C4—1721no—
1396C22⋊C4—1721no—
1397C22⋊C4—1721no—
1398C22⋊C4—1721no—
1399C22⋊C4—1721no—
1400C22⋊C4—1721no—
1401C22⋊C4—1721no—
1402C22⋊C4—1721no—
1403C22⋊C4—1721no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C42—41no—
1408C42—862no—
1409C42—862no—
1410C42—1721no—
1411C42—1721no—
1412C42—1721no—
1413C42—1721no—
1414C42—1721no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—861no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23—861no—
1439C23—861no—
1440C23—861no—
1441C23—861no—
1442C23—861no—
1443C23—861no—
1444C23—861no—
1445C23—861no—
1446C23—861no—
1447C23—861no—
1448C23—861no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—3442no—
1462C23—3442no—
1463C23—3442no—
1464C23—3442no—
1465C23—1724no—
1466C23—1724no—
1467C23—1724no—
1468C23#41×D4312yes—
1469C23#1306337012yes—
1470C23#1306337112yes—
1471C23C24×D4311yescharacteristic
1472D4—44no—
1473D4—44no—
1474D4—82no—
1475D4—3442no—
1476D4—3442no—
1477D4—3442no—
1478D4—3442no—
1479D4—3442no—
1480D4—3442no—
1481D4—3442no—
1482D4—3442no—
1483D4—3442no—
1484D4—3442no—
1485D4—3442no—
1486D4—3442no—
1487D4—3442no—
1488D4—1724no—
1489D4—1724no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—432no—
1530C2×C4—432no—
1531C2×C4—432no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—3442no—
1566C2×C4—3442no—
1567C2×C4—3442no—
1568C2×C4—3442no—
1569C2×C4—1724no—
1570C2×C4—1724no—
1571C2×C4#1306337012yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—3448no—
1593C22—1721no—
1594C22—1721no—
1595C22—1721no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22—1721no—
1600C22—1721no—
1601C22—1721no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22#1458350114yes—
1622C22C2×#41×D4311yescharacteristic
1623C22H(5,𝔽2)×D4311yescharacteristic
1624C22C2×#1306337011yescharacteristic
1625C22C2×#1306337011yescharacteristic
1626C22C2×#1306337111yescharacteristic
1627C22#1458373511yescharacteristic
1628C22#1458373611yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—862no—
1642C4—862no—
1643C4—862no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—3441no—
1657C2—3441no—
1658C2—3441no—
1659C2—3441no—
1660C2C2×#1458350111yescharacteristic
1661C2#1914842711yescharacteristic
1662C2#1914843811yescharacteristic
1663C2#1914877211yescharacteristic
1664C2#1914882511yescharacteristic
1665C2#1914911211yescharacteristic
1666C2#1914914311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2443C2
hypercenter#2443D43
hypocenterC43#36759
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. #19142938C2semidirect
2. #19142901C2semidirect
3. #19142532C2semidirect
4. #19142527C2semidirect
5. #19142456C2semidirect
6. #19142451C2semidirect
7. #19142405C2semidirect
8. #19142397C2semidirect
9. #19141879C2semidirect
10. #19141867C2semidirect
11. #19141864C2semidirect
12. #19141860C2semidirect
13. #19141355C2semidirect
14. #19141351C2semidirect
15. #19141207C2semidirect
16. #19141202C2semidirect
17. #19140861C2semidirect
18. #19140854C2semidirect
19. #19140335C2semidirect
20. #19140335C2semidirect
21. #19138351C2semidirect
22. #19138343C2semidirect
23. #19138330C2semidirect
24. #19138137C2semidirect
25. #19138133C2semidirect
26. #19138129C2semidirect
27. #19138125C2semidirect
28. #19137296C2semidirect
29. #19137293C2semidirect
30. C2×#14582789C2semidirect
31. C43×#2443C2semidirect
32. C2×#13063321C22semidirect
33. C2×#13063315C22semidirect
34. C2×#13063310C22semidirect
55. #14582840C22semidirect
56. #14582839C22semidirect
57. #14582834C22semidirect
58. #14582832C22semidirect
63. #14582828C22semidirect
64. #14582827C22semidirect
65. #14582826C22semidirect
66. #14582825C22semidirect
67. #14582824C22semidirect
80. #14582816C22semidirect
83. #14582815C22semidirect
90. #14582814C22semidirect
99. #14582802C22semidirect
102. #14582800C22semidirect
105. #14582799C22semidirect
106. #14582799C22semidirect
107. #14582799C22semidirect
108. #14582799C22semidirect
109. #14582796C22semidirect
110. #14582794C22semidirect
111. #14582793C22semidirect
112. #14582793C22semidirect
114. #14582791C22semidirect
116. #14582790C22semidirect
126. #14582789C22semidirect
128. #14582788C22semidirect
129. #14582787C22semidirect
130. #14582786C22semidirect
131. #14582785C22semidirect
132. #14582785C22semidirect
133. #14582784C22semidirect
134. #14582784C22semidirect
135. #14582783C22semidirect
136. #14582781C22semidirect
137. #14582781C22semidirect
138. #14582781C22semidirect
139. #14582780C22semidirect
140. #14582780C22semidirect
146. #14582778C22semidirect
151. #14582776C22semidirect
152. #14582776C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
155. #14582775C22semidirect
157. #14582773C22semidirect
159. #14582772C22semidirect
161. #14582771C22semidirect
162. #14582770C22semidirect
163. #14582770C22semidirect
164. #14582768C22semidirect
165. #14582763C22semidirect
166. #14582761C22semidirect
167. #14582760C22semidirect
172. C2×#123×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#398C22semidirect
178. C43×#397C22semidirect
179. C43×#394C22semidirect
180. C43×#388C22semidirect
181. C43×#387C22semidirect
186. C43×#385C22semidirect
843. #2443D43semidirect
868. C2×#123C2×D43semidirect
895. #399C2×D43semidirect
897. #398C2×D43semidirect
907. #397C2×D43semidirect
931. #394C2×D43semidirect
971. #388C2×D43semidirect
983. #387C2×D43semidirect
1011. #385C2×D43semidirect
1020. C43#36759semidirect

Maximal subgroups

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

subgroupindex
#191429382
#191429012
#191425322
#191425272
#191424562
#191424512
#191424052
#191423972
#191418792
#191418672
#191418642
#191418602
#191413552
#191413512
#191412072
#191412022
#191408612
#191408542
#191403352
#191383512
#191383432
#191383302
#191381372
#191381332
#191381292
#191381252
#191372962
#191372932
C2×#145827892
C43×#24432
#3675943