Finite Group Databasebeta

← #25303633

Subgroups — #25303633

Order 11008.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583491C211yesmaximal, characteristic, complemented
2C2×#14583408C211yesmaximal, characteristic, complemented
3#19142888C211yesmaximal, characteristic, complemented
4#19142883C211yesmaximal, characteristic, complemented
5#19141296C211yesmaximal, characteristic, complemented
6#19141281C211yesmaximal, characteristic, complemented
7#19141251C211yesmaximal, characteristic, complemented
8#19141236C211yesmaximal, characteristic, complemented
9#19141206C211yesmaximal, characteristic, complemented
10#19141167C211yesmaximal, characteristic, complemented
11#19141157C211yesmaximal, characteristic, complemented
12#19140984C211yesmaximal, characteristic, complemented
13#19140966C211yesmaximal, characteristic, complemented
14#19140959C211yesmaximal, characteristic, complemented
15#19140945C211yesmaximal, characteristic, complemented
16#19140942C211yesmaximal, characteristic, complemented
17#19140933C211yesmaximal, characteristic, complemented
18#19140933C211yesmaximal, characteristic, complemented
19#19140918C211yesmaximal, characteristic, complemented
20#19140915C211yesmaximal, characteristic, complemented
21#19140515C211yesmaximal, characteristic, complemented
22#19140436C211yesmaximal, characteristic, complemented
23#19140287C211yesmaximal, characteristic, complemented
24#19140222C211yesmaximal, characteristic, complemented
25#19140186C211yesmaximal, characteristic, complemented
26#19140182C211yesmaximal, characteristic, complemented
27#19139944C211yesmaximal, characteristic, complemented
28#19139795C211yesmaximal, characteristic, complemented
29#19137941C211yesmaximal, characteristic, complemented
30#19137932C211yesmaximal, characteristic, complemented
31C43×#2319C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583491—28no—
35C2×#13063319C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic
37C2×#13063317C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39#14583408—28no—
40C2×#13063310C2211yescharacteristic
41C2×#13063309C2211yescharacteristic
42C2×#13063309C2211yescharacteristic
43C2×#13063309C2211yescharacteristic, complemented
44C2×#13063309C2211yescharacteristic, complemented
45C2×#13063308C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063306C2211yescharacteristic
49C2×#13063305C2211yescharacteristic
50C2×#13063305C2211yescharacteristic
51C2×#13063305C2211yescharacteristic, complemented
52C2×#13063304C2211yescharacteristic
53C2×#13063303C2211yescharacteristic
54C2×#13063303C2211yescharacteristic, complemented
55C2×#13063302C2211yescharacteristic
56C2×#13063302C2211yescharacteristic, complemented
57C2×#13063300C2211yescharacteristic
58C2×#13063298C2211yescharacteristic
59C2×#13063297C2211yescharacteristic
60C2×#13063297C2211yescharacteristic
61C2×#13063295C2211yescharacteristic
62C2×#13063295C2211yescharacteristic
63C2×#13063293C2211yescharacteristic
64C2×C4×D172C2211yescharacteristic
65C2×C4×C22⋊D43C2211yescharacteristic
66C2×C4×C22⋊D43C2211yescharacteristic
67C2×C4×C22⋊D43C2211yescharacteristic, complemented
68C2×#13063282C2211yescharacteristic
69C22×Dic43⋊C4C2211yescharacteristic, complemented
70#14582839C2211yescharacteristic, complemented
71#14582836C2211yescharacteristic
72#14582831C2211yescharacteristic, complemented
73#14582831C2211yescharacteristic, complemented
74#14582831C2211yescharacteristic, complemented
75#14582829C2211yescharacteristic, complemented
76#14582829C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582829C2211yescharacteristic, complemented
79#14582826C2211yescharacteristic
80#14582826C2211yescharacteristic, complemented
81#14582826C2211yescharacteristic, complemented
82#14582824C2211yescharacteristic
83#14582824C2211yescharacteristic
84#14582824C2211yescharacteristic
85#14582824C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic
87#14582821C2211yescharacteristic
88#14582821C2211yescharacteristic
89#14582821C2211yescharacteristic
90#14582821C2211yescharacteristic
91#14582821C2211yescharacteristic, complemented
92#14582821C2211yescharacteristic, complemented
93#14582821C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582821C2211yescharacteristic, complemented
96#14582820C2211yescharacteristic, complemented
97#14582820C2211yescharacteristic, complemented
98#14582820C2211yescharacteristic, complemented
99#14582817C2211yescharacteristic
100#14582817C2211yescharacteristic
101#14582817C2211yescharacteristic
102#14582816C2211yescharacteristic
103#14582816C2211yescharacteristic, complemented
104#14582815C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582815C2211yescharacteristic
107#14582815C2211yescharacteristic
108#14582815C2211yescharacteristic
109#14582815C2211yescharacteristic
110#14582815C2211yescharacteristic, complemented
111#14582815C2211yescharacteristic, complemented
112#14582812C2211yescharacteristic, complemented
113#14582809C2211yescharacteristic
114#14582808C2211yescharacteristic
115#14582808C2211yescharacteristic
116#14582808C2211yescharacteristic
117#14582808C2211yescharacteristic, complemented
118#14582804C2211yescharacteristic, complemented
119#14582801C2211yescharacteristic
120#14582801C2211yescharacteristic
121#14582801C2211yescharacteristic
122#14582801C2211yescharacteristic
123#14582801C2211yescharacteristic, complemented
124#14582800C2211yescharacteristic
125#14582797C2211yescharacteristic, complemented
126#14582797C2211yescharacteristic, complemented
127#14582797C2211yescharacteristic, complemented
128#14582791C2211yescharacteristic
129#14582791C2211yescharacteristic, complemented
130#14582790C2211yescharacteristic
131#14582790C2211yescharacteristic
132#14582790C2211yescharacteristic
133#14582790C2211yescharacteristic
134#14582790C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582784C2211yescharacteristic, complemented
137#14582784C2211yescharacteristic, complemented
138#14582784C2211yescharacteristic, complemented
139#14582784C2211yescharacteristic, complemented
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582777C2211yescharacteristic
145#14582777C2211yescharacteristic, complemented
146#14582776C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582776C2211yescharacteristic
149#14582776C2211yescharacteristic, complemented
150#14582774C2211yescharacteristic
151#14582774C2211yescharacteristic
152#14582774C2211yescharacteristic, complemented
153#14582774C2211yescharacteristic, complemented
154#14582773C2211yescharacteristic
155#14582773C2211yescharacteristic
156#14582773C2211yescharacteristic
157#14582773C2211yescharacteristic
158#14582773C2211yescharacteristic
159#14582773C2211yescharacteristic
160#14582773C2211yescharacteristic
161#14582773C2211yescharacteristic
162#14582773C2211yescharacteristic, complemented
163#14582773C2211yescharacteristic, complemented
164#14582773C2211yescharacteristic, complemented
165#14582773C2211yescharacteristic, complemented
166#14582769C2211yescharacteristic, complemented
167#14582765C2211yescharacteristic, complemented
168#14582760C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582756C2211yescharacteristic
171#14582754C2211yescharacteristic
172#14582754C2211yescharacteristic
173#14582754C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C43×#390C2211yescharacteristic
176C43×#390C2211yescharacteristic
177C43×#389C2211yescharacteristic, complemented
178C43×#389C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#381C2211yescharacteristic
184C43×#381C2211yescharacteristic, complemented
185C43×#380C2211yescharacteristic
186C43×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, complemented
188C43×#376C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621898—24no—
191C2×#10621898—42no—
192C2×#10621898—42no—
193C22×Dic86C2311yescharacteristic
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C22×C4×D43—24no—
210C22×C4×D43—42no—
211C22×C4×D43—42no—
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218#13063319—24no—
219#13063318—24no—
220#13063317—24no—
221#13063315—24no—
222#13063310—24no—
223#13063309—24no—
224#13063309—42no—
225#13063309—42no—
226#13063309—42no—
227#13063308—24no—
228#13063307—24no—
229#13063307—24no—
230#13063306—24no—
231#13063305—42no—
232#13063305—42no—
233#13063305—42no—
234#13063304—24no—
235#13063303—24no—
236#13063303—24no—
237#13063302—24no—
238#13063302—24no—
239#13063300—42no—
240#13063298—24no—
241#13063297—24no—
242#13063297—24no—
243#13063295—24no—
244#13063295—42no—
245#13063293—24no—
246C4×D172—24no—
247C4×C22⋊D43—24no—
248C4×C22⋊D43—24no—
249C4×C22⋊D43—24no—
250#13063282—24no—
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×C4⋊Dic43C2311yescharacteristic
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×Dic43⋊C4—24no—
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
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
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
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
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C4×D4×C43D418yescomplemented
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×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×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43C2×D414yes—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43C2×D414yes—
406C22×C4×C43C2×D414yes—
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
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
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—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—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459#10621898—416no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
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—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—416no—
494C2×Dic86—22no—
495C2×Dic86—22no—
496C2×Dic86—22no—
497C2×Dic86—41no—
498C2×Dic86—41no—
499C2×Dic86—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43C2×D414yes—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C22⋊C4×C43C2×D414yes—
516C22⋊C4×C43C2×D414yes—
517C42×C43—41no—
518C42×C43—41no—
519C42×C43—41no—
520C42×C43—41no—
521C42×C43C2×D414yes—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—22no—
527C22⋊Dic43—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—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
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—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4—41no—
564C4⋊Dic43—22no—
565C4⋊Dic43—22no—
566C4⋊Dic43—22no—
567C4⋊Dic43—22no—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—22no—
571C4⋊Dic43—41no—
572C4⋊Dic43—41no—
573C4⋊Dic43—41no—
574C4⋊Dic43—41no—
575C4⋊Dic43—41no—
576C4⋊Dic43—41no—
577C4⋊Dic43—41no—
578C4⋊Dic43—41no—
579C4⋊Dic43—41no—
580C4⋊Dic43—41no—
581Dic43⋊C4—22no—
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—22no—
586Dic43⋊C4—22no—
587Dic43⋊C4—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4—22no—
594Dic43⋊C4—22no—
595C4×Dic43—22no—
596C4×Dic43—22no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43C22×D412yes—
610C23×C43C22×D412yes—
611C23×C43C2511yescharacteristic
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—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43—44no—
645C22×D43H(5,𝔽2)12yes—
646C22×D432−1+412yes—
647D4×C43—44no—
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—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—44no—
683C2×C4×C43—44no—
684C2×C4×C43C22×D412yes—
685C2×C4×C43C22×D412yes—
686C2×C4×C43C22×D412yes—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D412yes—
689C22⋊D43—44no—
690C22⋊D43—44no—
691C22⋊D43—44no—
692C22⋊D43—44no—
693C22⋊D43—44no—
694C22⋊D43—82no—
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—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—44no—
731C2×Dic43—44no—
732C2×Dic43—82no—
733C2×Dic43H(5,𝔽2)12yes—
734D172—44no—
735D172—44no—
736D172—82no—
737D172—82no—
738D172—82no—
739C4×D43—28no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—82no—
745Dic86—44no—
746Dic86—82no—
747#36723—431nomaximal, Sylow
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—22no—
753C22×C43—22no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43C23×D411yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43C2×H(5,𝔽2)11yescharacteristic
765C22×C43C2×2−1+411yescharacteristic
766C22×C43#58511yescharacteristic
767C22×C43#58511yescharacteristic
768C22×C43#58511yescharacteristic
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—416no—
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—41no—
796C2×D43—41no—
797C2×D43—41no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—22no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811Dic43—22no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823C2×#539—431no—
824C2×#525—431no—
825#2849—431no—
826#2848—431no—
827#2707—431no—
828#2706—431no—
829#2704—431no—
830#2703—431no—
831#2701—431no—
832#2698—431no—
833#2697—431no—
834#2685—431no—
835#2683—431no—
836#2682—431no—
837#2681—431no—
838#2681—431no—
839#2680—431no—
840#2680—431no—
841#2678—431no—
842#2678—431no—
843#2638—431no—
844#2630—431no—
845#2611—431no—
846#2603—431no—
847#2601—431no—
848#2600—431no—
849#2579—431no—
850#2566—431no—
851#2407—431no—
852#2406—431no—
853#2319D4311yescharacteristic, complemented
854C2×C43—42no—
855C2×C43—42no—
856C2×C43#344911yescharacteristic
857C2×C43#348411yescharacteristic
858C2×C43#348911yescharacteristic
859C2×C43#353311yescharacteristic
860C2×C43#353511yescharacteristic
861C2×C43#353911yescharacteristic
862C2×C43#354111yescharacteristic
863D43—42no—
864D43—42no—
865D43—81no—
866D43—81no—
867C22×#41—431no—
868C24×C4—431no—
869#539—868no—
870C2×#126—431no—
871C2×#126—431no—
872C2×#125—431no—
873C2×#125—431no—
874#525—868no—
875C2×#123—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123—431no—
883C2×#123—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—431no—
886C2×C22⋊Q8—431no—
887C2×C22⋊Q8—431no—
888C2×C22⋊Q8—431no—
889C2×C22⋊Q8—431no—
890C2×C22⋊Q8—431no—
891C2×C22⋊Q8—431no—
892C2×#121—431no—
893C2×#121—431no—
894C2×#121—431no—
895C2×#121—431no—
896C2×#120—431no—
897C2×#120—431no—
898C2×#120—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4—431no—
902C2×C4×D4—431no—
903C2×C4×D4C2×D4311yescharacteristic
904C2×#117—431no—
905C22×C4⋊C4—431no—
906#400—431no—
907#399—431no—
908#398—431no—
909#398—431no—
910#398—431no—
911#398—431no—
912#398—431no—
913#398—431no—
914#398—431no—
915#397—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397—431no—
920#397—431no—
921#397—431no—
922#396—431no—
923#396—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396—431no—
928#396—431no—
929#396—431no—
930#396—431no—
931#396—431no—
932#395—431no—
933#395—431no—
934#395—431no—
935#394—431no—
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394—431no—
941#394—431no—
942#394—431no—
943#394—431no—
944#394—431no—
945#394—431no—
946#394—431no—
947#394—431no—
948#393—431no—
949#392—431no—
950#392—431no—
951#392—431no—
952#392—431no—
953#392—431no—
954#391—431no—
955#390—431no—
956#390—431no—
957#390—431no—
958#390—431no—
959#390—431no—
960#390—431no—
961#390C2×D4311yescharacteristic
962#390C2×D4311yescharacteristic
963#389—431no—
964#389—431no—
965#389—431no—
966#389C2×D4311yescharacteristic, complemented
967#389C2×D4311yescharacteristic, complemented
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388C2×D4311yescharacteristic
977#388C2×D4311yescharacteristic
978#388C2×D4311yescharacteristic, complemented
979#388C2×D4311yescharacteristic, complemented
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
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#385—431no—
995#385—431no—
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
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#384—431no—
1011#382—431no—
1012#381—431no—
1013#381C2×D4311yescharacteristic
1014#381C2×D4311yescharacteristic, complemented
1015#380—431no—
1016#380—431no—
1017#380C2×D4311yescharacteristic
1018#380C2×D4311yescharacteristic, complemented
1019#379—431no—
1020#379—431no—
1021#379—431no—
1022C4×C4⋊C4C2×D4311yescharacteristic, complemented
1023#376C2×D4311yescharacteristic, complemented
1024C43#3672311yescharacteristic, complemented, Sylow
1025C25—431no—
1026C2×#41—864no—
1027C2×#41—1722no—
1028C2×#41—1722no—
1029C22×Q8—431no—
1030C22×Q8—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—431no—
1038C22×D4—431no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—431no—
1042C22×D4C22×D4311yescharacteristic
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—864no—
1053C23×C4—1722no—
1054C23×C4—1722no—
1055C23×C4C22×D4311yescharacteristic
1056C23×C4C22×D4311yescharacteristic
1057#126—864no—
1058#126—864no—
1059#125—864no—
1060#125—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065#123—864no—
1066#123—864no—
1067#123—1722no—
1068#123—1722no—
1069#123—1722no—
1070C22⋊Q8—864no—
1071C22⋊Q8—864no—
1072C22⋊Q8—864no—
1073C22⋊Q8—864no—
1074C22⋊Q8—864no—
1075C22⋊Q8—1722no—
1076C22⋊Q8—1722no—
1077C22⋊Q8—1722no—
1078#121—864no—
1079#121—864no—
1080#121—864no—
1081#121—1722no—
1082#120—864no—
1083#120—864no—
1084#120—1722no—
1085C4×D4—864no—
1086C4×D4—864no—
1087C4×D4—864no—
1088C4×D4—864no—
1089C4×D4D17218yescomplemented
1090#117—864no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—431no—
1106C2×C4⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—431no—
1118C2×C4⋊C4—431no—
1119C2×C4⋊C4—431no—
1120C2×C4⋊C4—431no—
1121C2×C4⋊C4—431no—
1122C2×C4⋊C4—864no—
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C4⋊C4C22×D4311yescharacteristic
1129C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4C22×D4311yescharacteristic
1173C2×C22⋊C4C22×D4311yescharacteristic
1174C2×C22⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4C22×D4311yescharacteristic
1176C2×C22⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4C22×D4311yescharacteristic
1178C2×C22⋊C4C22×D4311yescharacteristic
1179C2×C22⋊C4C22×D4311yescharacteristic
1180C2×C22⋊C4C22×D4311yescharacteristic
1181C2×C22⋊C4C22×D4311yescharacteristic
1182C2×C42—431no—
1183C2×C42—431no—
1184C2×C42C22×D4311yescharacteristic
1185C2×C42C22×D4311yescharacteristic
1186C2×C42C22×D4311yescharacteristic
1187C2×C42C22×D4311yescharacteristic
1188C2×C42C22×D4311yescharacteristic
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95C22×D4311yescharacteristic
1212#95C22×D4311yescharacteristic
1213#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221C24—431no—
1222C24—431no—
1223C24—431no—
1224C24—431no—
1225C24—862no—
1226C24—862no—
1227C24—862no—
1228C24—1721no—
1229C24—1721no—
1230C24—1721no—
1231C24—1721no—
1232C24C23×D4311yescharacteristic
1233C24C23×D4311yescharacteristic
1234#41—17216no—
1235C2×Q8—862no—
1236C2×Q8—862no—
1237C2×Q8—862no—
1238C2×Q8—1721no—
1239C2×Q8—1721no—
1240C2×Q8—1721no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—862no—
1244C2×D4—862no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
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—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C2×D4—1721no—
1275C2×D4—1721no—
1276C2×D4C2×D17214yes—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—431no—
1282C22×C4—431no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—862no—
1294C22×C4—862no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—17216no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4—1721no—
1321C22×C4C2×D17214yes—
1322C22×C4C2×D17214yes—
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335C22×C4C23×D4311yescharacteristic
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—862no—
1343C4⋊C4—862no—
1344C4⋊C4—862no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—862no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—1721no—
1364C4⋊C4—1721no—
1365C4⋊C4—1721no—
1366C4⋊C4—1721no—
1367C4⋊C4—1721no—
1368C4⋊C4—1721no—
1369C4⋊C4—1721no—
1370C4⋊C4—1721no—
1371C4⋊C4—1721no—
1372C4⋊C4—1721no—
1373C4⋊C4C2×D17214yes—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—862no—
1400C22⋊C4—862no—
1401C22⋊C4—862no—
1402C22⋊C4—862no—
1403C22⋊C4—1721no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C22⋊C4—1721no—
1415C22⋊C4—1721no—
1416C22⋊C4—1721no—
1417C22⋊C4—1721no—
1418C22⋊C4—1721no—
1419C22⋊C4—1721no—
1420C22⋊C4—1721no—
1421C22⋊C4—1721no—
1422C22⋊C4—1721no—
1423C22⋊C4—1721no—
1424C22⋊C4C2×D17214yes—
1425C22⋊C4C2×D17214yes—
1426C42—41no—
1427C42—41no—
1428C42—41no—
1429C42—41no—
1430C42—862no—
1431C42—862no—
1432C42C2×D17214yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—432no—
1446C23—432no—
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—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—1724no—
1474C23—1724no—
1475C23—1724no—
1476C23—1724no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23C22×D17212yes—
1481C23C22×D17212yes—
1482C23C24×D4311yescharacteristic
1483Q8—3442no—
1484Q8—1724no—
1485D4—44no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—1724no—
1491D4—1724no—
1492D4—1724no—
1493D4—1724no—
1494D4—1724no—
1495D4—1724no—
1496D4—1724no—
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—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—432no—
1534C2×C4—868no—
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—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—3442no—
1571C2×C4—3442no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4—1724no—
1577C2×C4—1724no—
1578C2×C4C22×D17212yes—
1579C2×C4C22×D17212yes—
1580C2×C4C22×D17212yes—
1581C2×C4C22×D17212yes—
1582C2×C4C22×D17212yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—862no—
1601C22—862no—
1602C22—862no—
1603C22—17216no—
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—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22C23×D17211yescharacteristic
1627C22H(5,𝔽2)×D4311yescharacteristic
1628C22H(5,𝔽2)×D4311yescharacteristic
1629C222−1+4×D4311yescharacteristic
1630C22#1458373411yescharacteristic
1631C22#1458373511yescharacteristic
1632C22#1458373511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—862no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4—1721no—
1657C4—1721no—
1658C2—42no—
1659C2—42no—
1660C2—3441no—
1661C2—3441no—
1662C2—1722no—
1663C2—1722no—
1664C2#1914792811yescharacteristic
1665C2#1914823111yescharacteristic
1666C2#1914827611yescharacteristic
1667C2#1914875511yescharacteristic
1668C2#1914879711yescharacteristic
1669C2#1914884711yescharacteristic
1670C2#1914887911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2319C2
hypercenter#2319D43
hypocenterC43#36723
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#14583491C2semidirect
2. C2×#14583408C2semidirect
3. #19142888C2semidirect
4. #19142883C2semidirect
5. #19141296C2semidirect
6. #19141281C2semidirect
7. #19141251C2semidirect
8. #19141236C2semidirect
9. #19141206C2semidirect
10. #19141167C2semidirect
11. #19141157C2semidirect
12. #19140984C2semidirect
13. #19140966C2semidirect
14. #19140959C2semidirect
15. #19140945C2semidirect
16. #19140942C2semidirect
17. #19140933C2semidirect
18. #19140933C2semidirect
19. #19140918C2semidirect
20. #19140915C2semidirect
21. #19140515C2semidirect
22. #19140436C2semidirect
23. #19140287C2semidirect
24. #19140222C2semidirect
25. #19140186C2semidirect
26. #19140182C2semidirect
27. #19139944C2semidirect
28. #19139795C2semidirect
29. #19137941C2semidirect
30. #19137932C2semidirect
31. C43×#2319C2semidirect
35. C2×#13063319C22semidirect
37. C2×#13063317C22semidirect
38. C2×#13063315C22semidirect
43. C2×#13063309C22semidirect
44. C2×#13063309C22semidirect
51. C2×#13063305C22semidirect
54. C2×#13063303C22semidirect
56. C2×#13063302C22semidirect
67. C2×C4×C22⋊D43C22semidirect
69. C22×Dic43⋊C4C22semidirect
70. #14582839C22semidirect
72. #14582831C22semidirect
73. #14582831C22semidirect
74. #14582831C22semidirect
75. #14582829C22semidirect
76. #14582829C22semidirect
77. #14582829C22semidirect
78. #14582829C22semidirect
80. #14582826C22semidirect
81. #14582826C22semidirect
85. #14582824C22semidirect
91. #14582821C22semidirect
92. #14582821C22semidirect
93. #14582821C22semidirect
94. #14582821C22semidirect
95. #14582821C22semidirect
96. #14582820C22semidirect
97. #14582820C22semidirect
98. #14582820C22semidirect
103. #14582816C22semidirect
110. #14582815C22semidirect
111. #14582815C22semidirect
112. #14582812C22semidirect
117. #14582808C22semidirect
118. #14582804C22semidirect
123. #14582801C22semidirect
125. #14582797C22semidirect
126. #14582797C22semidirect
127. #14582797C22semidirect
129. #14582791C22semidirect
134. #14582790C22semidirect
135. #14582790C22semidirect
136. #14582784C22semidirect
137. #14582784C22semidirect
138. #14582784C22semidirect
139. #14582784C22semidirect
145. #14582777C22semidirect
149. #14582776C22semidirect
152. #14582774C22semidirect
153. #14582774C22semidirect
162. #14582773C22semidirect
163. #14582773C22semidirect
164. #14582773C22semidirect
165. #14582773C22semidirect
166. #14582769C22semidirect
167. #14582765C22semidirect
177. C43×#389C22semidirect
178. C43×#389C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
184. C43×#381C22semidirect
186. C43×#380C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C43×#376C22semidirect
352. C4×D4×C43D4semidirect
853. #2319D43semidirect
966. #389C2×D43semidirect
967. #389C2×D43semidirect
978. #388C2×D43semidirect
979. #388C2×D43semidirect
1014. #381C2×D43semidirect
1018. #380C2×D43semidirect
1022. C4×C4⋊C4C2×D43semidirect
1023. #376C2×D43semidirect
1024. C43#36723semidirect
1089. C4×D4D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145834912
C2×#145834082
#191428882
#191428832
#191412962
#191412812
#191412512
#191412362
#191412062
#191411672
#191411572
#191409842
#191409662
#191409592
#191409452
#191409422
#191409332
#191409182
#191409152
#191405152
#191404362
#191402872
#191402222
#191401862
#191401822
#191399442
#191397952
#191379412
#191379322
C43×#23192
#3672343