Finite Group Databasebeta

← #33964249

Subgroups — #33964249

Order 18688.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623849C211yesmaximal, characteristic, complemented
2#22623722C211yesmaximal, characteristic, complemented
3#22622199C211yesmaximal, characteristic, complemented
4#22622196C211yesmaximal, characteristic, complemented
5#22622188C211yesmaximal, characteristic, complemented
6#22622177C211yesmaximal, characteristic, complemented
7#22622150C211yesmaximal, characteristic, complemented
8#22622145C211yesmaximal, characteristic, complemented
9#22622139C211yesmaximal, characteristic, complemented
10#22622126C211yesmaximal, characteristic, complemented
11#22621838C211yesmaximal, characteristic, complemented
12#22621819C211yesmaximal, characteristic, complemented
13#22621814C211yesmaximal, characteristic, complemented
14#22621787C211yesmaximal, characteristic, complemented
15#22621776C211yesmaximal, characteristic, complemented
16#22621768C211yesmaximal, characteristic, complemented
17#22621765C211yesmaximal, characteristic, complemented
18#488×D73C211yesmaximal, characteristic, complemented
19#22619897C211yesmaximal, characteristic, complemented
20#22619888C211yesmaximal, characteristic, complemented
21#22619750C211yesmaximal, characteristic, complemented
22#22619615C211yesmaximal, characteristic, complemented
23#22619610C211yesmaximal, characteristic, complemented
24#22619420C211yesmaximal, characteristic, complemented
25#22619241C211yesmaximal, characteristic, complemented
26#22619233C211yesmaximal, characteristic, complemented
27C4×#14556612C211yesmaximal, characteristic, complemented
28#22618638C211yesmaximal, characteristic, complemented
29#22618459C211yesmaximal, characteristic, complemented
30#22618453C211yesmaximal, characteristic, complemented
31C73×#3301C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556637C2211yescharacteristic
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic
36C2×#14556612C2211yescharacteristic
37C2×#14556597C2211yescharacteristic
38C2×#14556597C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic, complemented
40#17989288—21no—
41#17989287—21no—
42#17989287C2211yescharacteristic, complemented
43#17989284—21no—
44#17989284C2211yescharacteristic, complemented
45#17989282—21no—
46#17989277C2211yescharacteristic, complemented
47#17989276C2211yescharacteristic, complemented
48#17989275C2211yescharacteristic, complemented
49#17989272C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic
51#17989248C2211yescharacteristic
52#17989244C2211yescharacteristic
53#17989234—21no—
54#17989234C2211yescharacteristic
55#17989233—21no—
56#17989233C2211yescharacteristic
57#17989230—21no—
58#17989230C2211yescharacteristic
59#17989228—21no—
60#17989228C2211yescharacteristic
61#17989194—21no—
62#17989187—21no—
63#17989166C2211yescharacteristic
64#17989166C2211yescharacteristic, complemented
65#17989160—21no—
66#17989160C2211yescharacteristic
67#17989153—21no—
68#17989153C2211yescharacteristic
69#17989134—21no—
70#17989134C2211yescharacteristic
71#17989117—21no—
72#17989114—21no—
73#125×D73C2211yescharacteristic, complemented
74#124×D73—21no—
75#124×D73C2211yescharacteristic
76#17989068C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic
78C4×#11924029C2211yescharacteristic
79C4×#11924027C2211yescharacteristic, complemented
80#17988944C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic, complemented
107#17988884C2211yescharacteristic, complemented
108#17988846C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988838C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic, complemented
112#17988834C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988831C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988828C2211yescharacteristic, complemented
117#17988827C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988816C2211yescharacteristic, complemented
120#17988815C2211yescharacteristic, complemented
121#17988815C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic
130#17988752C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic
133#17988744C2211yescharacteristic, complemented
134#17988743C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic
136#17988739C2211yescharacteristic
137#17988731C2211yescharacteristic
138#17988731C2211yescharacteristic, complemented
139#17988730C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic, complemented
141#17988720C2211yescharacteristic
142#17988719C2211yescharacteristic
143C4×#11924018C2211yescharacteristic, complemented
144#17988679C2211yescharacteristic, complemented
145C4×#11924017C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147#17988674C2211yescharacteristic, complemented
148C4×#11924013C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988665C2211yescharacteristic, complemented
151#17988664C2211yescharacteristic, complemented
152#17988662C2211yescharacteristic, complemented
153#17988662C2211yescharacteristic, complemented
154C8×D292C2211yescharacteristic, complemented
155C8×C22⋊D73C2211yescharacteristic, complemented
156C8×C22⋊D73C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160#17988609C2211yescharacteristic, complemented
161#17988596C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic, complemented
163#17988594C2211yescharacteristic, complemented
164#17988591C2211yescharacteristic
165#17988590C2211yescharacteristic
166#17988590C2211yescharacteristic
167#17988588C2211yescharacteristic
168#17988587C2211yescharacteristic
169#17988587C2211yescharacteristic
170#17988587C2211yescharacteristic
171#17988587C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic, complemented
173#17988584C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic
175#17988582C2211yescharacteristic
176#17988582C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178#103×D73C2211yescharacteristic, complemented
179#103×D73C2211yescharacteristic, complemented
180#103×D73C2211yescharacteristic, complemented
181C2×#14556513C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988552C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202C2×#103×C73C2211yescharacteristic, complemented
203#14556639—24no—
204#14556639—42no—
205#14556637—24no—
206#14556637—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924028—21no—
212C2×#11924028—21no—
213C2×#11924028—21no—
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×Q8×D73—21no—
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×D292—21no—
222C22×D292C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227#14556620—42no—
228#14556615—42no—
229#14556612—24no—
230C2×Dic292C2311yescharacteristic
231C2×#11924018C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239#14556597—42no—
240#14556597—42no—
241C2×#11924012C2311yescharacteristic
242C2×#11924012C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556590—21no—
252#14556590D411yescharacteristic
253#14556587—21no—
254#14556587D411yescharacteristic
255#14556586—21no—
256#14556586—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556583—21no—
263#14556583C2311yescharacteristic
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556580—21no—
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556578—21no—
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577D411yescharacteristic
282#14556577D411yescharacteristic
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556575—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556572—21no—
296#14556571—21no—
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556571C2311yescharacteristic
300#14556570—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556568—21no—
305#14556568—21no—
306#14556567—21no—
307#14556567C2311yescharacteristic
308#14556566—21no—
309#14556566—21no—
310#14556566D411yescharacteristic
311#14556566C2311yescharacteristic
312#14556565—21no—
313#14556565C2311yescharacteristic
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556564D411yescharacteristic
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562D411yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73C2311yescharacteristic
340C4×Dic146—21no—
341C4×Dic146C2311yescharacteristic
342#14556556—21no—
343#14556556C2311yescharacteristic
344C4×D292—21no—
345C4×D292—21no—
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73—21no—
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553—21no—
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556550—21no—
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549—21no—
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73C2311yescharacteristic
381C4⋊C4×D73C2311yescharacteristic
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441C4×#10596831C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×Q8×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73C2311yescharacteristic
453#124×C73—21no—
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73—21no—
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—22no—
491#11924029—22no—
492#11924029—22no—
493#11924029—41no—
494#11924029—41no—
495#11924029—44no—
496#11924029#4114yes—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—44no—
503#11924028—41no—
504#11924028—44no—
505#11924028—44no—
506#11924027—22no—
507#11924027—22no—
508C2×Dic146—21no—
509C2×Dic146—21no—
510C2×Dic146C2×D411yescharacteristic
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2411yescharacteristic
513C2×Dic146C2411yescharacteristic
514Q8×D73—22no—
515Q8×D73—22no—
516Q8×D73—22no—
517Q8×D73—41no—
518Q8×D73—44no—
519C2×D292—21no—
520C2×D292—22no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—41no—
526C2×D292—44no—
527C2×D292C2×D411yescharacteristic
528C2×D292C2×D411yescharacteristic
529C2×D292C2×D411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73C2×D411yescharacteristic
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546D4×D73—22no—
547D4×D73—22no—
548D4×D73—22no—
549D4×D73—41no—
550D4×D73—44no—
551D4×D73—44no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572Dic292—41no—
573#11924018—22no—
574#11924018—41no—
575#11924017—22no—
576#11924017—41no—
577#11924016—41no—
578#11924016—41no—
579#11924013—22no—
580#11924013—41no—
581#11924012—41no—
582#11924012—41no—
583#11924011—22no—
584#11924011—22no—
585#11924011—41no—
586#11924011—41no—
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C8×D73—22no—
592C8×D73—22no—
593C8×D73—41no—
594C8×D73—41no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73—21no—
601C4⋊Dic73—21no—
602C4⋊Dic73C2×D411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73C2×D411yescharacteristic
634C22⋊Dic73C2×D411yescharacteristic
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2411yescharacteristic
666#41×C73—22no—
667#41×C73—41no—
668C2×Q8×C73—21no—
669C2×Q8×C73—22no—
670C2×Q8×C73—41no—
671C2×Q8×C73C2411yescharacteristic
672C2×Q8×C73C2411yescharacteristic
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73C2×D411yescharacteristic
678C2×D4×C73C2411yescharacteristic
679C2×D4×C73C2411yescharacteristic
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686SD16×C73—22no—
687SD16×C73—41no—
688D8×C73—41no—
689C2×C8×C73—41no—
690C2×C8×C73—41no—
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C4⋊C4×C73—21no—
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73C2×D411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73C2×D411yescharacteristic
714C22⋊C4×C73C2×D411yescharacteristic
715C42×C73—21no—
716C42×C73—21no—
717C42×C73C2411yescharacteristic
718C23×C73—21no—
719C23×C73—21no—
720C23×C73C22×D411yescharacteristic
721C23×C73C22×D411yescharacteristic
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—42no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73C22×D411yescharacteristic
734C22×D73C22×D411yescharacteristic
735C22×D73C22×D411yescharacteristic
736Q8×C73—21no—
737Q8×C73—21no—
738Q8×C73—21no—
739Q8×C73—42no—
740Q8×C73C2×#4112yes—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—41no—
746D4×C73—42no—
747D4×C73—81no—
748D4×C73—81no—
749D4×C73—81no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—42no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73—81no—
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C2511yescharacteristic
769C22⋊D73—22no—
770C22⋊D73—22no—
771C22⋊D73—22no—
772C22⋊D73—22no—
773C22⋊D73—41no—
774C22⋊D73—41no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—42no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—24no—
798D292—22no—
799D292—22no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—41no—
804D292—42no—
805D292—42no—
806D292—42no—
807D292—81no—
808D292C2×#4112yes—
809C4×D73—21no—
810C4×D73—21no—
811C4×D73—21no—
812C4×D73—21no—
813C4×D73—24no—
814C4×D73—41no—
815C4×D73—41no—
816C4×D73—42no—
817C4×D73—42no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—81no—
822C4×D73—81no—
823C4×D73—81no—
824C4×D73—81no—
825C4×D73—81no—
826C4×D73—81no—
827C4×D73C2×#4112yes—
828C4×D73H(5,𝔽2)12yes—
829Dic146—22no—
830Dic146—22no—
831Dic146—21no—
832Dic146—21no—
833Dic146—21no—
834Dic146—21no—
835Dic146—42no—
836Dic146—42no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840C8×C73—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844#10596831—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73C23×D411yescharacteristic
858C2×D73—21no—
859C2×D73—21no—
860C2×D73—21no—
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—22no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—162no—
873C2×D73—162no—
874C2×D73—162no—
875C2×D73#54612yes—
876C4×C73—21no—
877C4×C73—21no—
878C4×C73—21no—
879C4×C73—21no—
880C4×C73—22no—
881C4×C73—41no—
882C4×C73—41no—
883C4×C73—41no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73C22×#4111yescharacteristic
887C4×C73C2×H(5,𝔽2)11yescharacteristic
888Dic73—21no—
889Dic73—21no—
890Dic73—21no—
891Dic73—21no—
892Dic73—41no—
893Dic73—41no—
894Dic73—41no—
895Dic73—41no—
896Dic73—41no—
897Dic73—41no—
898Dic73#54612yes—
899#61216—731nomaximal, Sylow
900C2×C73—41no—
901C2×C73—41no—
902C2×C73—81no—
903C2×C73—81no—
904C2×C73C2×#54611yescharacteristic
905C2×C73#358411yescharacteristic
906C2×C73#358411yescharacteristic
907D73—22no—
908D73—41no—
909D73—41no—
910D73—42no—
911D73—81no—
912#3512—731no—
913#3500—731no—
914#3327—731no—
915#3327—731no—
916#3326—731no—
917#3326—731no—
918#3323—731no—
919#3323—731no—
920#3322—731no—
921#3322—731no—
922#3301—731no—
923#3301D7311yescharacteristic, complemented
924#3300—731no—
925#3300—731no—
926#3297—731no—
927#3297—731no—
928#3296—731no—
929#3296—731no—
930C2×#488—731no—
931#3097—731no—
932#3096—731no—
933#3080—731no—
934#3063—731no—
935#3062—731no—
936#3040—731no—
937#3013—731no—
938#3012—731no—
939C4×#135—731no—
940#2931—731no—
941#2898—731no—
942#2897—731no—
943C73#6121611yescharacteristic, complemented, Sylow
944C2×2−1+4—731no—
945C2×H(5,𝔽2)—731no—
946C2×#137—731no—
947C2×AGL(1,ℤ/8)—731no—
948C2×#135—731no—
949C2×#131—731no—
950C2×#131—731no—
951#553—731no—
952#553—731no—
953#553—731no—
954#553—1461no—
955#553—1461no—
956#553—1461no—
957#553—1461no—
958#553C2×D7311yescharacteristic, complemented
959#552—731no—
960#552—731no—
961#552—731no—
962#552—731no—
963#548—731no—
964#548—731no—
965#548—731no—
966#548C2×D7311yescharacteristic
967#546—731no—
968#546—731no—
969#546—731no—
970#546—731no—
971#546—1461no—
972#546—1461no—
973#546—1461no—
974#546—1461no—
975#541—1461no—
976#540—1461no—
977#537—731no—
978#537—731no—
979#536—731no—
980#536—1461no—
981#535—731no—
982#535—1461no—
983#532—731no—
984#532—1461no—
985#529—1461no—
986#529—1461no—
987C2×#125—731no—
988C2×#124—731no—
989C2×#124—1461no—
990#520—731no—
991#520—731no—
992C4×#41—731no—
993C4×#41—731no—
994#488—731no—
995#488—731no—
996#488—731no—
997#488—731no—
998#488—731no—
999#488—731no—
1000#488—731no—
1001#488C2×D7311yescharacteristic, complemented
1002#485—731no—
1003#485—731no—
1004#485—731no—
1005#485C2×D7311yescharacteristic, complemented
1006#484—731no—
1007#484—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482—731no—
1012#482—731no—
1013#482—731no—
1014#481—731no—
1015#481C2×D7311yescharacteristic, complemented
1016#480—731no—
1017#480—731no—
1018#479—731no—
1019#479—731no—
1020#479—731no—
1021#479C2×D7311yescharacteristic, complemented
1022#478—731no—
1023#478—731no—
1024#478—731no—
1025#478—731no—
1026#470—731no—
1027#470—731no—
1028#469—731no—
1029#469—731no—
1030#468—731no—
1031#468—731no—
1032#468—731no—
1033#468—731no—
1034#467—731no—
1035#467—731no—
1036#466—731no—
1037#466C2×D7311yescharacteristic, complemented
1038#465—731no—
1039#465—731no—
1040#465—731no—
1041#465C2×D7311yescharacteristic, complemented
1042#464—731no—
1043#464—731no—
1044#464—731no—
1045#464—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463C2×D7311yescharacteristic, complemented
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#451—731no—
1055#451—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449C2×D7311yescharacteristic
1062#448—731no—
1063#448C2×D7311yescharacteristic, complemented
1064#447—731no—
1065#447—731no—
1066C4×Q16—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×SD16C2×D7311yescharacteristic, complemented
1072C4×D8—731no—
1073C4×D8—731no—
1074#436—731no—
1075#436—731no—
1076#436—731no—
1077#436—731no—
1078C8×D4—731no—
1079C8×D4—731no—
1080C8×D4—731no—
1081C8×D4C2×D7311yescharacteristic, complemented
1082#428—731no—
1083#428—731no—
1084#427—731no—
1085#423—731no—
1086#419—731no—
1087#419—731no—
1088#419—731no—
1089#418—731no—
1090#418—731no—
1091#418—731no—
1092#417—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#417—731no—
1097#417—731no—
1098#416—731no—
1099#416—731no—
1100#416—731no—
1101#416—731no—
1102#416—731no—
1103#416C2×D7311yescharacteristic
1104C2×#103—731no—
1105C2×#103—731no—
1106C2×#103—731no—
1107C2×#103C2×D7311yescharacteristic, complemented
1108C2×#102—731no—
1109C2×#102—731no—
1110C2×#102—731no—
1111C2×#102—731no—
1112#408—731no—
1113#408—731no—
1114C2×C4×C8—731no—
11152−1+4—2922no—
11162−1+4—1464no—
1117H(5,𝔽2)—2922no—
1118H(5,𝔽2)—1464no—
1119C2×#41—731no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C2×#41C22×D7311yescharacteristic
1131C22×Q8—731no—
1132C22×Q8—731no—
1133C22×Q8—1461no—
1134C22×Q8C22×D7311yescharacteristic
1135C22×D4—731no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—1461no—
1139C22×D4—1461no—
1140C22×D4—1461no—
1141#137—2922no—
1142AGL(1,ℤ/8)—2922no—
1143#135—1464no—
1144C2×Q16—731no—
1145C2×Q16—731no—
1146C2×Q16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16C22×D7311yescharacteristic
1152C2×SD16C22×D7311yescharacteristic
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8C22×D7311yescharacteristic
1156#131—2922no—
1157#131—2922no—
1158C2×M16—731no—
1159C2×M16—731no—
1160C2×M16—731no—
1161C2×M16—731no—
1162C2×M16—731no—
1163C2×M16—731no—
1164C22×C8—731no—
1165C22×C8—731no—
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8C22×D7311yescharacteristic
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—1461no—
1172#127—731no—
1173#127—1461no—
1174#126—21no—
1175#126—1461no—
1176#126—1461no—
1177#126—1461no—
1178#126—1461no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—731no—
1184#125—731no—
1185#125—1461no—
1186#125—1461no—
1187#125—1461no—
1188#125—1461no—
1189#125—1461no—
1190#125—1461no—
1191#125C22×D7311yescharacteristic
1192#124—21no—
1193#124—731no—
1194#124—731no—
1195#124—731no—
1196#124—731no—
1197#124—731no—
1198#124—1461no—
1199#124—1461no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124C22×D7311yescharacteristic
1206#123—21no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220C22⋊Q8—21no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—731no—
1227C22⋊Q8—731no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8C22×D7311yescharacteristic
1234#121—21no—
1235#121—21no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—731no—
1243#121—731no—
1244#121—731no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121C22×D7311yescharacteristic
1262#121C22×D7311yescharacteristic
1263#121C22×D7311yescharacteristic
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269#120—1461no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—1461no—
1274C4×Q8—1461no—
1275C4×Q8C22×D7311yescharacteristic
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4C22×D7311yescharacteristic
1301C4×D4C22×D7311yescharacteristic
1302#117—731no—
1303#117—731no—
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—1461no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311#117—1461no—
1312#117—1461no—
1313#117C22×D7311yescharacteristic
1314C2×C4⋊C4—731no—
1315C2×C4⋊C4—731no—
1316C2×C4⋊C4—731no—
1317C2×C4⋊C4—731no—
1318C2×C4⋊C4—731no—
1319C2×C4⋊C4—1461no—
1320C2×C4⋊C4—1461no—
1321C2×C4⋊C4C22×D7311yescharacteristic
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C22⋊C4—1461no—
1325C2×C22⋊C4—1461no—
1326C2×C22⋊C4—1461no—
1327C2×C22⋊C4—1461no—
1328C2×C42—731no—
1329C2×C42—1461no—
1330C2×C42—1461no—
1331#107—731no—
1332#107—731no—
1333#107—731no—
1334#107—731no—
1335#107—731no—
1336#107C22×D7311yescharacteristic
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106C22×D7311yescharacteristic
1342#106C22×D7311yescharacteristic
1343C4⋊C8—731no—
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8C22×D7311yescharacteristic
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103C22×D7311yescharacteristic
1362#103C22×D7311yescharacteristic
1363#103C22×D7311yescharacteristic
1364#103C22×D7311yescharacteristic
1365#103C22×D7311yescharacteristic
1366#103C22×D7311yescharacteristic
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102C22×D7311yescharacteristic
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387C22⋊C8—731no—
1388C22⋊C8—731no—
1389C22⋊C8—731no—
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8C22×D7311yescharacteristic
1394C22⋊C8C22×D7311yescharacteristic
1395C4×C8—731no—
1396C4×C8—731no—
1397C4×C8—731no—
1398C4×C8C22×D7311yescharacteristic
1399C24—1461no—
1400C24—1461no—
1401C24—1461no—
1402#41—22no—
1403#41—41no—
1404#41—2921no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2921no—
1410#41—2921no—
1411#41—734no—
1412#41—1462no—
1413#41—1462no—
1414#41—1462no—
1415#41—1462no—
1416#41—1462no—
1417#41—1462no—
1418#41—1462no—
1419#41—1462no—
1420#41—1462no—
1421#41—1462no—
1422C2×Q8—21no—
1423C2×Q8—22no—
1424C2×Q8—41no—
1425C2×Q8—2921no—
1426C2×Q8—2924no—
1427C2×Q8—731no—
1428C2×Q8—731no—
1429C2×Q8—731no—
1430C2×Q8—731no—
1431C2×Q8—1461no—
1432C2×Q8—1461no—
1433C2×Q8—1462no—
1434C2×Q8—1462no—
1435C2×Q8—1462no—
1436C2×Q8C23×D7311yescharacteristic
1437C2×Q8C23×D7311yescharacteristic
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—2921no—
1443C2×D4—2924no—
1444C2×D4—2924no—
1445C2×D4—2921no—
1446C2×D4—2924no—
1447C2×D4—731no—
1448C2×D4—731no—
1449C2×D4—731no—
1450C2×D4—731no—
1451C2×D4—731no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1462no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1462no—
1464C2×D4—1462no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1462no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4D4×D7311yescharacteristic
1476C2×D4C23×D7311yescharacteristic
1477C2×D4C23×D7311yescharacteristic
1478C22×C4—21no—
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504Q16—2921no—
1505Q16—2921no—
1506Q16—1462no—
1507SD16—22no—
1508SD16—41no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—1462no—
1513D8—41no—
1514D8—2921no—
1515D8—1462no—
1516M16—2921no—
1517M16—2921no—
1518M16—2921no—
1519M16—2921no—
1520M16—1462no—
1521M16—1462no—
1522C2×C8—41no—
1523C2×C8—41no—
1524C2×C8—2921no—
1525C2×C8—2921no—
1526C2×C8—731no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—1462no—
1531C2×C8—1462no—
1532C2×C8C23×D7311yescharacteristic
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4D4×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C4⋊C4C23×D7311yescharacteristic
1573C4⋊C4C23×D7311yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—731no—
1586C22⋊C4—731no—
1587C22⋊C4—731no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4D4×D7311yescharacteristic
1615C22⋊C4D4×D7311yescharacteristic
1616C42—21no—
1617C42—21no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—1461no—
1622C42—1461no—
1623C42—1461no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—2922no—
1633C23—2922no—
1634C23—2922no—
1635C23—5841no—
1636C23—5841no—
1637C23—5841no—
1638C23—5841no—
1639C23—5841no—
1640C23—5841no—
1641C23—731no—
1642C23—731no—
1643C23—731no—
1644C23—1461no—
1645C23—1461no—
1646C23C2×D4×D7311yescharacteristic
1647C23C2×D4×D7311yescharacteristic
1648Q8—21no—
1649Q8—21no—
1650Q8—21no—
1651Q8—42no—
1652Q8—2922no—
1653Q8—2922no—
1654Q8—1462no—
1655Q8—1462no—
1656Q8—1461no—
1657Q8—1461no—
1658Q8—1461no—
1659Q8—1461no—
1660Q8#41×D7312yes—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—41no—
1666D4—42no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—2922no—
1671D4—2922no—
1672D4—2921no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2921no—
1678D4—2921no—
1679D4—2922no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—5841no—
1684D4—5841no—
1685D4—732no—
1686D4—1462no—
1687D4—1464no—
1688D4—1462no—
1689D4—1462no—
1690D4—1462no—
1691D4—1462no—
1692D4—1462no—
1693D4—1461no—
1694D4—1461no—
1695D4—1461no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2921no—
1714C2×C4—2921no—
1715C2×C4—2922no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—5841no—
1719C2×C4—5841no—
1720C2×C4—5841no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—731no—
1727C2×C4—732no—
1728C2×C4—732no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—1464no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4C2×D4×D7311yescharacteristic
1745C2×C4C2×D4×D7311yescharacteristic
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C24×D7311yescharacteristic
1749C8—21no—
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—1461no—
1754C8—1461no—
1755C8—1461no—
1756C8—1461no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—2921no—
1770C22—2921no—
1771C22—2921no—
1772C22—2921no—
1773C22—2921no—
1774C22—732no—
1775C22—11682no—
1776C22—11682no—
1777C22—11682no—
1778C22—1462no—
1779C22—1461no—
1780C22—1461no—
1781C22—1461no—
1782C22—1461no—
1783C22—1461no—
1784C22—1461no—
1785C22—1461no—
1786C22—1461no—
1787C22C22×D4×D7311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—2921no—
1799C4—2921no—
1800C4—2921no—
1801C4—2921no—
1802C4—2921no—
1803C4—2921no—
1804C4—732no—
1805C4—1461no—
1806C4—1461no—
1807C4—1461no—
1808C4—1461no—
1809C4C2×#41×D7311yescharacteristic
1810C4H(5,𝔽2)×D7311yescharacteristic
1811C2—41no—
1812C2—41no—
1813C2—81no—
1814C2—81no—
1815C2—2922no—
1816C2—2921no—
1817C2—2921no—
1818C2—5841no—
1819C2—1462no—
1820C2#546×D7311yescharacteristic
1821C2#2262470011yescharacteristic
1822C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3301C2
socleC22×C73C23×D4
hypercenter#3301D73
hypocenterC73#61216
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #22623849C2semidirect
2. #22623722C2semidirect
3. #22622199C2semidirect
4. #22622196C2semidirect
5. #22622188C2semidirect
6. #22622177C2semidirect
7. #22622150C2semidirect
8. #22622145C2semidirect
9. #22622139C2semidirect
10. #22622126C2semidirect
11. #22621838C2semidirect
12. #22621819C2semidirect
13. #22621814C2semidirect
14. #22621787C2semidirect
15. #22621776C2semidirect
16. #22621768C2semidirect
17. #22621765C2semidirect
18. #488×D73C2semidirect
19. #22619897C2semidirect
20. #22619888C2semidirect
21. #22619750C2semidirect
22. #22619615C2semidirect
23. #22619610C2semidirect
24. #22619420C2semidirect
25. #22619241C2semidirect
26. #22619233C2semidirect
27. C4×#14556612C2semidirect
28. #22618638C2semidirect
29. #22618459C2semidirect
30. #22618453C2semidirect
31. C73×#3301C2semidirect
34. C2×#14556620C22semidirect
38. C2×#14556597C22semidirect
39. #17989289C22semidirect
42. #17989287C22semidirect
44. #17989284C22semidirect
46. #17989277C22semidirect
47. #17989276C22semidirect
48. #17989275C22semidirect
49. #17989272C22semidirect
64. #17989166C22semidirect
73. #125×D73C22semidirect
76. #17989068C22semidirect
79. C4×#11924027C22semidirect
80. #17988944C22semidirect
81. #17988943C22semidirect
82. #17988943C22semidirect
83. #17988942C22semidirect
84. #17988941C22semidirect
85. #17988940C22semidirect
86. #17988940C22semidirect
87. #17988931C22semidirect
88. #17988928C22semidirect
89. #17988926C22semidirect
90. #17988924C22semidirect
91. #17988920C22semidirect
92. #17988918C22semidirect
93. #17988916C22semidirect
94. #17988913C22semidirect
95. #17988912C22semidirect
96. #17988910C22semidirect
97. #17988908C22semidirect
98. #17988907C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988896C22semidirect
102. #17988894C22semidirect
103. #17988892C22semidirect
104. #17988890C22semidirect
105. #17988888C22semidirect
106. #17988886C22semidirect
107. #17988884C22semidirect
108. #17988846C22semidirect
109. #17988843C22semidirect
110. #17988838C22semidirect
111. #17988837C22semidirect
112. #17988834C22semidirect
113. #17988831C22semidirect
114. #17988831C22semidirect
115. #17988830C22semidirect
116. #17988828C22semidirect
117. #17988827C22semidirect
118. #17988822C22semidirect
119. #17988816C22semidirect
120. #17988815C22semidirect
121. #17988815C22semidirect
122. #17988812C22semidirect
123. #17988810C22semidirect
124. #17988808C22semidirect
125. #17988806C22semidirect
126. #17988804C22semidirect
127. #17988802C22semidirect
128. #17988800C22semidirect
130. #17988752C22semidirect
131. #17988751C22semidirect
133. #17988744C22semidirect
134. #17988743C22semidirect
138. #17988731C22semidirect
139. #17988730C22semidirect
140. #17988724C22semidirect
143. C4×#11924018C22semidirect
144. #17988679C22semidirect
145. C4×#11924017C22semidirect
146. SD16×Dic73C22semidirect
147. #17988674C22semidirect
148. C4×#11924013C22semidirect
149. #17988667C22semidirect
150. #17988665C22semidirect
151. #17988664C22semidirect
152. #17988662C22semidirect
153. #17988662C22semidirect
154. C8×D292C22semidirect
155. C8×C22⋊D73C22semidirect
156. C8×C22⋊D73C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988622C22semidirect
160. #17988609C22semidirect
161. #17988596C22semidirect
162. #17988594C22semidirect
163. #17988594C22semidirect
171. #17988587C22semidirect
172. #17988586C22semidirect
173. #17988584C22semidirect
176. #17988582C22semidirect
177. #17988580C22semidirect
178. #103×D73C22semidirect
179. #103×D73C22semidirect
180. #103×D73C22semidirect
186. #17988552C22semidirect
187. C4×C8×D73C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #481×C73C22semidirect
193. #479×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
198. #448×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
202. C2×#103×C73C22semidirect
923. #3301D73semidirect
943. C73#61216semidirect
958. #553C2×D73semidirect
1001. #488C2×D73semidirect
1005. #485C2×D73semidirect
1015. #481C2×D73semidirect
1021. #479C2×D73semidirect
1037. #466C2×D73semidirect
1041. #465C2×D73semidirect
1049. #463C2×D73semidirect
1063. #448C2×D73semidirect
1071. C4×SD16C2×D73semidirect
1081. C8×D4C2×D73semidirect
1107. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238492
#226237222
#226221992
#226221962
#226221882
#226221772
#226221502
#226221452
#226221392
#226221262
#226218382
#226218192
#226218142
#226217872
#226217762
#226217682
#226217652
#488×D732
#226198972
#226198882
#226197502
#226196152
#226196102
#226194202
#226192412
#226192332
C4×#145566122
#226186382
#226184592
#226184532
C73×#33012
#6121673